0.00/0.01	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.01	% app-encoded or not : original
0.00/0.01	% Variant    : fo
0.00/0.01	% Ordering    : kbo
0.00/0.01	% Command    : 
0.00/0.01	#!/bin/sh
0.00/0.01	
0.00/0.01	./zipperposition.native ${1:+"$1"} \
0.00/0.01	  -i tptp \
0.00/0.01	  -o tptp \
0.00/0.01	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.01	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.01	  --no-ho \
0.00/0.01	  --no-avatar \
0.00/0.01	  --no-induction \
0.00/0.01	  --no-unif-pattern \
0.00/0.01	  --ord $2 \
0.00/0.01	  --simultaneous-sup false \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n124.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 10:13:23 CST 2018
1.50/1.78	% done 1534 iterations in 1.568s
1.50/1.78	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
1.50/1.78	% SZS output start Refutation
1.50/1.78	tff(conj_0, axiom,
1.50/1.78	  (ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_1)) | 
1.50/1.78	   ord_less(nat,zero_zero(nat),huffma945805758height(a1,t_2)))).
1.50/1.78	tff('0', plain,
1.50/1.78	    (ord_less(nat, zero_zero(nat), huffma945805758height(a1, t_1))
1.50/1.78	     | ord_less(nat, zero_zero(nat), huffma945805758height(a1, t_2))),
1.50/1.78	    inference('cnf', [status(esa)], [conj_0])).
1.50/1.78	tff(fact_9_neq0__conv, axiom,
1.50/1.78	  (![N1:nat]: ((N1 != zero_zero(nat)) <=> ord_less(nat,zero_zero(nat),N1)))).
1.50/1.78	tff('1', plain,
1.50/1.78	    ![X50 : nat]: (ord_less(nat, zero_zero(nat), X50) | X50 = zero_zero(nat)),
1.50/1.78	    inference('cnf', [status(esa)], [fact_9_neq0__conv])).
1.50/1.78	tff(fact_6_height__gt__0__in__alphabet__imp__sibling__left, axiom,
1.50/1.78	  (![B:$tType,T_21:huffma1450048681e_tree(B),Wa:nat,Aa:B,
1.50/1.78	     T_11:huffma1450048681e_tree(B)]:
1.50/1.78	     (ord_less(nat,zero_zero(nat),huffma945805758height(B,T_11)) =>
1.50/1.78	      (member(B,Aa,huffma675207370phabet(B,T_11)) =>
1.50/1.78	       (huffma1401021291ibling(B,huffma1146269203erNode(B,Wa,T_11,T_21),Aa) =
1.50/1.78	        huffma1401021291ibling(B,T_11,Aa)))))).
1.50/1.78	tff('2', plain,
1.50/1.78	    ![X37 : $tType, X38 : X37, X39 : huffma1450048681e_tree(X37), X40 : nat, 
1.50/1.78	      X41 : huffma1450048681e_tree(X37)]:
1.50/1.78	      (~ member(X37, X38, huffma675207370phabet(X37, X39))
1.50/1.78	       | huffma1401021291ibling(X37, 
1.50/1.78	           huffma1146269203erNode(X37, X40, X39, X41), X38)
1.50/1.78	          = huffma1401021291ibling(X37, X39, X38)
1.50/1.78	       | ~ ord_less(nat, zero_zero(nat), huffma945805758height(X37, X39))),
1.50/1.78	    inference('cnf', [status(esa)],
1.50/1.78	              [fact_6_height__gt__0__in__alphabet__imp__sibling__left])).
1.50/1.78	tff('3', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ $true
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X1, X3), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X1, X2)
1.50/1.78	       | ~ member(X0, X2, huffma675207370phabet(X0, X1))),
1.50/1.78	    inference('sup-', [status(thm)], ['1', '2'])).
1.50/1.78	tff('4', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ member(X0, X2, huffma675207370phabet(X0, X1))
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X1, X3), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X1, X2)
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['3'])).
1.50/1.78	tff(conj_1, conjecture,
1.50/1.78	  (((~member(a1,a,huffma675207370phabet(a1,t_1))) =>
1.50/1.78	    (huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) =
1.50/1.78	     huffma1401021291ibling(a1,t_2,a))) & 
1.50/1.78	   (member(a1,a,huffma675207370phabet(a1,t_1)) =>
1.50/1.78	    (huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) =
1.50/1.78	     huffma1401021291ibling(a1,t_1,a))))).
1.50/1.78	tff(zf_stmt_0, negated_conjecture,
1.50/1.78	  (~
1.50/1.78	    (((~member(a1,a,huffma675207370phabet(a1,t_1))) =>
1.50/1.78	      (huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) =
1.50/1.78	       huffma1401021291ibling(a1,t_2,a))) & 
1.50/1.78	     (member(a1,a,huffma675207370phabet(a1,t_1)) =>
1.50/1.78	      (huffma1401021291ibling(a1,huffma1146269203erNode(a1,w,t_1,t_2),a) =
1.50/1.78	       huffma1401021291ibling(a1,t_1,a)))))).
1.50/1.78	tff('5', plain,
1.50/1.78	    (~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma1401021291ibling(a1, huffma1146269203erNode(a1, w, t_1, t_2), a)
1.50/1.78	        != huffma1401021291ibling(a1, t_1, a)),
1.50/1.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.50/1.78	tff('6', plain,
1.50/1.78	    (huffma1401021291ibling(a1, t_1, a) != huffma1401021291ibling(a1, t_1, a)
1.50/1.78	     | huffma945805758height(a1, t_1) = zero_zero(nat)
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('sup-', [status(thm)], ['4', '5'])).
1.50/1.78	tff('7', plain,
1.50/1.78	    (~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma945805758height(a1, t_1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['6'])).
1.50/1.78	tff(fact_4_height__gt__0__notin__alphabet__imp__sibling__left, axiom,
1.50/1.78	  (![B:$tType,T_21:huffma1450048681e_tree(B),Wa:nat,Aa:B,
1.50/1.78	     T_11:huffma1450048681e_tree(B)]:
1.50/1.78	     (ord_less(nat,zero_zero(nat),huffma945805758height(B,T_11)) =>
1.50/1.78	      ((~member(B,Aa,huffma675207370phabet(B,T_11))) =>
1.50/1.78	       (huffma1401021291ibling(B,huffma1146269203erNode(B,Wa,T_11,T_21),Aa) =
1.50/1.78	        huffma1401021291ibling(B,T_21,Aa)))))).
1.50/1.78	tff('8', plain,
1.50/1.78	    ![X27 : $tType, X28 : X27, X29 : huffma1450048681e_tree(X27), 
1.50/1.78	      X30 : huffma1450048681e_tree(X27), X31 : nat]:
1.50/1.78	      (member(X27, X28, huffma675207370phabet(X27, X29))
1.50/1.78	       | huffma1401021291ibling(X27, 
1.50/1.78	           huffma1146269203erNode(X27, X31, X29, X30), X28)
1.50/1.78	          = huffma1401021291ibling(X27, X30, X28)
1.50/1.78	       | ~ ord_less(nat, zero_zero(nat), huffma945805758height(X27, X29))),
1.50/1.78	    inference('cnf', [status(esa)],
1.50/1.78	              [fact_4_height__gt__0__notin__alphabet__imp__sibling__left])).
1.50/1.78	tff('9', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ $true
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X1, X3), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X3, X2)
1.50/1.78	       | member(X0, X2, huffma675207370phabet(X0, X1))),
1.50/1.78	    inference('sup-', [status(thm)], ['1', '8'])).
1.50/1.78	tff('10', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (member(X0, X2, huffma675207370phabet(X0, X1))
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X1, X3), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X3, X2)
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['9'])).
1.50/1.78	tff('11', plain,
1.50/1.78	    (huffma1401021291ibling(a1, huffma1146269203erNode(a1, w, t_1, t_2), a)
1.50/1.78	      != huffma1401021291ibling(a1, t_2, a)
1.50/1.78	     | member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('cnf', [status(esa)], [zf_stmt_0])).
1.50/1.78	tff('12', plain,
1.50/1.78	    (huffma1401021291ibling(a1, t_2, a) != huffma1401021291ibling(a1, t_2, a)
1.50/1.78	     | huffma945805758height(a1, t_1) = zero_zero(nat)
1.50/1.78	     | member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('sup-', [status(thm)], ['10', '11'])).
1.50/1.78	tff('13', plain,
1.50/1.78	    (member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma945805758height(a1, t_1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['12'])).
1.50/1.78	tff('14', plain, huffma945805758height(a1, t_1) = zero_zero(nat),
1.50/1.78	    inference('clc', [status(thm)], ['7', '13'])).
1.50/1.78	tff('15', plain,
1.50/1.78	    (ord_less(nat, zero_zero(nat), zero_zero(nat))
1.50/1.78	     | ord_less(nat, zero_zero(nat), huffma945805758height(a1, t_2))),
1.50/1.78	    inference('demod', [status(thm)], ['0', '14'])).
1.50/1.78	tff(fact_32_less__irrefl__nat, axiom, (![N2:nat]: (~ord_less(nat,N2,N2)))).
1.50/1.78	tff('16', plain, ![X130 : nat]: ~ ord_less(nat, X130, X130),
1.50/1.78	    inference('cnf', [status(esa)], [fact_32_less__irrefl__nat])).
1.50/1.78	tff('17', plain,
1.50/1.78	    ord_less(nat, zero_zero(nat), huffma945805758height(a1, t_2)),
1.50/1.78	    inference('clc', [status(thm)], ['15', '16'])).
1.50/1.78	tff(fact_7_height__gt__0__in__alphabet__imp__sibling__right, axiom,
1.50/1.78	  (![B:$tType,Wa:nat,T_11:huffma1450048681e_tree(B),Aa:B,
1.50/1.78	     T_21:huffma1450048681e_tree(B)]:
1.50/1.78	     (ord_less(nat,zero_zero(nat),huffma945805758height(B,T_21)) =>
1.50/1.78	      (member(B,Aa,huffma675207370phabet(B,T_11)) =>
1.50/1.78	       (huffma1401021291ibling(B,huffma1146269203erNode(B,Wa,T_11,T_21),Aa) =
1.50/1.78	        huffma1401021291ibling(B,T_11,Aa)))))).
1.50/1.78	tff('18', plain,
1.50/1.78	    ![X42 : $tType, X43 : X42, X44 : huffma1450048681e_tree(X42), 
1.50/1.78	      X45 : huffma1450048681e_tree(X42), X46 : nat]:
1.50/1.78	      (~ member(X42, X43, huffma675207370phabet(X42, X44))
1.50/1.78	       | ~ ord_less(nat, zero_zero(nat), huffma945805758height(X42, X45))
1.50/1.78	       | huffma1401021291ibling(X42, 
1.50/1.78	           huffma1146269203erNode(X42, X46, X44, X45), X43)
1.50/1.78	          = huffma1401021291ibling(X42, X44, X43)),
1.50/1.78	    inference('cnf', [status(esa)],
1.50/1.78	              [fact_7_height__gt__0__in__alphabet__imp__sibling__right])).
1.50/1.78	tff('19', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ $true
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X3, X1), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X3, X2)
1.50/1.78	       | ~ member(X0, X2, huffma675207370phabet(X0, X3))),
1.50/1.78	    inference('sup-', [status(thm)], ['1', '18'])).
1.50/1.78	tff('20', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ member(X0, X2, huffma675207370phabet(X0, X3))
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X3, X1), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X3, X2)
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['19'])).
1.50/1.78	tff(fact_8_height__0__imp__sibling__id, axiom,
1.50/1.78	  (![A:$tType,A2:A,T:huffma1450048681e_tree(A)]:
1.50/1.78	     ((huffma945805758height(A,T) = zero_zero(nat)) =>
1.50/1.78	      (huffma1401021291ibling(A,T,A2) = A2)))).
1.50/1.78	tff('21', plain,
1.50/1.78	    ![X47 : $tType, X48 : X47, X49 : huffma1450048681e_tree(X47)]:
1.50/1.78	      (huffma1401021291ibling(X47, X49, X48) = X48
1.50/1.78	       | huffma945805758height(X47, X49) != zero_zero(nat)),
1.50/1.78	    inference('cnf', [status(esa)], [fact_8_height__0__imp__sibling__id])).
1.50/1.78	tff('22', plain,
1.50/1.78	    ![X0 : a1]:
1.50/1.78	      (zero_zero(nat) != zero_zero(nat)
1.50/1.78	       | huffma1401021291ibling(a1, t_1, X0) = X0),
1.50/1.78	    inference('sup-', [status(thm)], ['14', '21'])).
1.50/1.78	tff('23', plain, ![X0 : a1]: huffma1401021291ibling(a1, t_1, X0) = X0,
1.50/1.78	    inference('simplify', [status(thm)], ['22'])).
1.50/1.78	tff('24', plain,
1.50/1.78	    (~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma1401021291ibling(a1, huffma1146269203erNode(a1, w, t_1, t_2), a)
1.50/1.78	        != a),
1.50/1.78	    inference('demod', [status(thm)], ['5', '23'])).
1.50/1.78	tff('25', plain,
1.50/1.78	    (huffma1401021291ibling(a1, t_1, a) != a
1.50/1.78	     | huffma945805758height(a1, t_2) = zero_zero(nat)
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('sup-', [status(thm)], ['20', '24'])).
1.50/1.78	tff('26', plain,
1.50/1.78	    (a != a
1.50/1.78	     | huffma945805758height(a1, t_2) = zero_zero(nat)
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | ~ member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('demod', [status(thm)], ['25', '23'])).
1.50/1.78	tff('27', plain,
1.50/1.78	    (~ member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma945805758height(a1, t_2) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['26'])).
1.50/1.78	tff(fact_5_height__gt__0__notin__alphabet__imp__sibling__right, axiom,
1.50/1.78	  (![B:$tType,Wa:nat,T_11:huffma1450048681e_tree(B),Aa:B,
1.50/1.78	     T_21:huffma1450048681e_tree(B)]:
1.50/1.78	     (ord_less(nat,zero_zero(nat),huffma945805758height(B,T_21)) =>
1.50/1.78	      ((~member(B,Aa,huffma675207370phabet(B,T_11))) =>
1.50/1.78	       (huffma1401021291ibling(B,huffma1146269203erNode(B,Wa,T_11,T_21),Aa) =
1.50/1.78	        huffma1401021291ibling(B,T_21,Aa)))))).
1.50/1.78	tff('28', plain,
1.50/1.78	    ![X32 : $tType, X33 : X32, X34 : huffma1450048681e_tree(X32), 
1.50/1.78	      X35 : huffma1450048681e_tree(X32), X36 : nat]:
1.50/1.78	      (member(X32, X33, huffma675207370phabet(X32, X34))
1.50/1.78	       | ~ ord_less(nat, zero_zero(nat), huffma945805758height(X32, X35))
1.50/1.78	       | huffma1401021291ibling(X32, 
1.50/1.78	           huffma1146269203erNode(X32, X36, X34, X35), X33)
1.50/1.78	          = huffma1401021291ibling(X32, X35, X33)),
1.50/1.78	    inference('cnf', [status(esa)],
1.50/1.78	              [fact_5_height__gt__0__notin__alphabet__imp__sibling__right])).
1.50/1.78	tff('29', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (~ $true
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X3, X1), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X1, X2)
1.50/1.78	       | member(X0, X2, huffma675207370phabet(X0, X3))),
1.50/1.78	    inference('sup-', [status(thm)], ['1', '28'])).
1.50/1.78	tff('30', plain,
1.50/1.78	    ![X0 : $tType, X1 : huffma1450048681e_tree(X0), X2 : X0, 
1.50/1.78	      X3 : huffma1450048681e_tree(X0), X4 : nat]:
1.50/1.78	      (member(X0, X2, huffma675207370phabet(X0, X3))
1.50/1.78	       | huffma1401021291ibling(X0, huffma1146269203erNode(X0, X4, X3, X1), 
1.50/1.78	           X2)
1.50/1.78	          = huffma1401021291ibling(X0, X1, X2)
1.50/1.78	       | huffma945805758height(X0, X1) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['29'])).
1.50/1.78	tff('31', plain,
1.50/1.78	    (huffma1401021291ibling(a1, t_2, a) != huffma1401021291ibling(a1, t_2, a)
1.50/1.78	     | huffma945805758height(a1, t_2) = zero_zero(nat)
1.50/1.78	     | member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | member(a1, a, huffma675207370phabet(a1, t_1))),
1.50/1.78	    inference('sup-', [status(thm)], ['30', '11'])).
1.50/1.78	tff('32', plain,
1.50/1.78	    (member(a1, a, huffma675207370phabet(a1, t_1))
1.50/1.78	     | huffma945805758height(a1, t_2) = zero_zero(nat)),
1.50/1.78	    inference('simplify', [status(thm)], ['31'])).
1.50/1.78	tff('33', plain, huffma945805758height(a1, t_2) = zero_zero(nat),
1.50/1.78	    inference('clc', [status(thm)], ['27', '32'])).
1.50/1.78	tff('34', plain, ord_less(nat, zero_zero(nat), zero_zero(nat)),
1.50/1.78	    inference('demod', [status(thm)], ['17', '33'])).
1.50/1.78	tff(fact_10_less__nat__zero__code, axiom,
1.50/1.78	  (![N2:nat]: (~ord_less(nat,N2,zero_zero(nat))))).
1.50/1.78	tff('35', plain, ![X52 : nat]: ~ ord_less(nat, X52, zero_zero(nat)),
1.50/1.78	    inference('cnf', [status(esa)], [fact_10_less__nat__zero__code])).
1.50/1.78	tff('36', plain, ~ $true, inference('sup-', [status(thm)], ['34', '35'])).
1.50/1.78	tff('37', plain, $false, inference('simplify', [status(thm)], ['36'])).
1.50/1.78	
1.50/1.78	% SZS output end Refutation
1.50/1.78	EOF
