0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.01	% Variant    : purification_int
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-avatar \
0.00/0.01	  --ho \
0.00/0.01	  --force-ho \
0.00/0.01	  --no-ho-elim-pred-var \
0.00/0.01	  --ho-general-ext-pos \
0.00/0.01	  --no-ho-unif \
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	  --ho-purify int \
0.00/0.01	  --ho-no-ext-pos \
0.00/0.01	  --ho-no-ext-neg \
0.00/0.01	  --ho-prim-enum none \
0.00/0.01	  --no-max-vars \
0.00/0.01	  --dont-select-ho-var-lits \
0.00/0.01	  --no-fool
0.00/0.20	% Computer   : n039.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 07:32:54 CST 2018
144.39/144.66	% done 52398 iterations in 144.453s
144.39/144.66	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
144.39/144.66	% SZS output start Refutation
144.39/144.66	tff(conj_0, conjecture,
144.39/144.66	  (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
144.39/144.66	                                     hAPP_int_int(hAPP_int_fun_int_int(
144.39/144.66	                                                  plus_plus_int,one_one_int),
144.39/144.66	                                                  hAPP_nat_int(semiri1621563631at_int,
144.39/144.66	                                                               n))),
144.39/144.66	                hAPP_int_nat(number_number_of_nat,
144.39/144.66	                             hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) !=
144.39/144.66	   zero_zero_int)).
144.39/144.66	tff(zf_stmt_0, negated_conjecture,
144.39/144.66	  (hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
144.39/144.66	                                     hAPP_int_int(hAPP_int_fun_int_int(
144.39/144.66	                                                  plus_plus_int,one_one_int),
144.39/144.66	                                                  hAPP_nat_int(semiri1621563631at_int,
144.39/144.66	                                                               n))),
144.39/144.66	                hAPP_int_nat(number_number_of_nat,
144.39/144.66	                             hAPP_int_int(bit0,hAPP_int_int(bit1,pls)))) =
144.39/144.66	   zero_zero_int)).
144.39/144.66	tff('0', plain,
144.39/144.66	    hAPP_nat_int(
144.39/144.66	      hAPP_int_fun_nat_int(power_power_int, 
144.39/144.66	        hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), 
144.39/144.66	          hAPP_nat_int(semiri1621563631at_int, n))), 
144.39/144.66	      hAPP_int_nat(number_number_of_nat, 
144.39/144.66	        hAPP_int_int(bit0, hAPP_int_int(bit1, pls))))
144.39/144.66	     = zero_zero_int,
144.39/144.66	    inference('cnf', [status(esa)], [zf_stmt_0])).
144.39/144.66	tff(fact_102_zadd__commute, axiom,
144.39/144.66	  (![Z_1:int,W:int]:
144.39/144.66	     (hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Z_1),W) =
144.39/144.66	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,W),Z_1)))).
144.39/144.66	tff('1', plain,
144.39/144.66	    ![X136 : int, X137 : int]:
144.39/144.66	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X137), X136)
144.39/144.66	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X136), X137),
144.39/144.66	    inference('cnf', [status(esa)], [fact_102_zadd__commute])).
144.39/144.66	tff(fact_857_succ__def, axiom,
144.39/144.66	  (![K_2:int]:
144.39/144.66	     (hAPP_int_int(succ,K_2) =
144.39/144.66	      hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,K_2),one_one_int)))).
144.39/144.66	tff('2', plain,
144.39/144.66	    ![X1706 : int]:
144.39/144.66	      hAPP_int_int(succ, X1706)
144.39/144.66	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1706), 
144.39/144.66	           one_one_int),
144.39/144.66	    inference('cnf', [status(esa)], [fact_857_succ__def])).
144.39/144.66	tff('3', plain,
144.39/144.66	    ![X0 : int]:
144.39/144.66	      hAPP_int_int(succ, X0)
144.39/144.66	       = hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, one_one_int), X0),
144.39/144.66	    inference('sup+', [status(thm)], ['1', '2'])).
144.39/144.66	tff(fact_151_Pls__def, axiom, (pls = zero_zero_int)).
144.39/144.66	tff('4', plain, pls = zero_zero_int,
144.39/144.66	    inference('cnf', [status(esa)], [fact_151_Pls__def])).
144.39/144.66	tff(fact_51_semiring__norm_I110_J, axiom,
144.39/144.66	  (one_one_int = hAPP_int_int(number_number_of_int,hAPP_int_int(bit1,pls)))).
144.39/144.66	tff('5', plain,
144.39/144.66	    one_one_int = hAPP_int_int(number_number_of_int, hAPP_int_int(bit1, pls)),
144.39/144.66	    inference('cnf', [status(esa)], [fact_51_semiring__norm_I110_J])).
144.39/144.66	tff(fact_279_number__of__is__id, axiom,
144.39/144.66	  (![K_2:int]: (hAPP_int_int(number_number_of_int,K_2) = K_2))).
144.39/144.66	tff('6', plain,
144.39/144.66	    ![X408 : int]: hAPP_int_int(number_number_of_int, X408) = X408,
144.39/144.66	    inference('cnf', [status(esa)], [fact_279_number__of__is__id])).
144.39/144.66	tff('7', plain, one_one_int = hAPP_int_int(bit1, zero_zero_int),
144.39/144.66	    inference('demod', [status(thm)], ['5', '4', '6'])).
144.39/144.66	tff(fact_38_semiring__one__add__one__is__two, axiom,
144.39/144.66	  (hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,one_one_nat),one_one_nat) =
144.39/144.66	   hAPP_int_nat(number_number_of_nat,
144.39/144.66	                hAPP_int_int(bit0,hAPP_int_int(bit1,pls))))).
144.39/144.66	tff('8', plain,
144.39/144.66	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
144.39/144.66	      one_one_nat)
144.39/144.66	     = hAPP_int_nat(number_number_of_nat, 
144.39/144.66	         hAPP_int_int(bit0, hAPP_int_int(bit1, pls))),
144.39/144.66	    inference('cnf', [status(esa)],
144.39/144.66	              [fact_38_semiring__one__add__one__is__two])).
144.39/144.66	tff('9', plain,
144.39/144.66	    hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, one_one_nat), 
144.39/144.66	      one_one_nat)
144.39/144.66	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
144.39/144.66	    inference('demod', [status(thm)], ['8', '4', '7'])).
144.39/144.66	tff(fact_3063_Suc__eq__plus1, axiom,
144.39/144.66	  (![N:nat]:
144.39/144.66	     (hAPP_nat_nat(suc,N) =
144.39/144.66	      hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat,N),one_one_nat)))).
144.39/144.66	tff('10', plain,
144.39/144.66	    ![X7043 : nat]:
144.39/144.66	      hAPP_nat_nat(suc, X7043)
144.39/144.66	       = hAPP_nat_nat(hAPP_nat_fun_nat_nat(plus_plus_nat, X7043), 
144.39/144.66	           one_one_nat),
144.39/144.66	    inference('cnf', [status(esa)], [fact_3063_Suc__eq__plus1])).
144.39/144.66	tff('11', plain,
144.39/144.66	    hAPP_nat_nat(suc, one_one_nat)
144.39/144.66	     = hAPP_int_nat(number_number_of_nat, hAPP_int_int(bit0, one_one_int)),
144.39/144.66	    inference('demod', [status(thm)], ['9', '10'])).
144.39/144.66	tff('12', plain,
144.39/144.66	    hAPP_nat_int(
144.39/144.66	      hAPP_int_fun_nat_int(power_power_int, 
144.39/144.66	        hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, n))), 
144.39/144.66	      hAPP_nat_nat(suc, one_one_nat))
144.39/144.66	     = zero_zero_int,
144.39/144.66	    inference('demod', [status(thm)], ['0', '3', '4', '7', '11'])).
144.39/144.66	tff(fact_414_zero__less__power, axiom,
144.39/144.66	  (![N_46:nat,A_195:int]:
144.39/144.66	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
144.39/144.66	                          A_195)) =>
144.39/144.66	      hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
144.39/144.66	                          hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int,
144.39/144.66	                                                            A_195),
144.39/144.66	                                       N_46)))))).
144.39/144.66	tff('13', plain,
144.39/144.66	    ![X640 : int, X641 : nat]:
144.39/144.66	      (hBOOL(
144.39/144.66	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	           hAPP_nat_int(hAPP_int_fun_nat_int(power_power_int, X640), X641)))
144.39/144.66	       | ~ hBOOL(
144.39/144.66	             hAPP_int_bool(
144.39/144.66	               hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), X640))),
144.39/144.66	    inference('cnf', [status(esa)], [fact_414_zero__less__power])).
144.39/144.66	tff('14', plain,
144.39/144.66	    (hBOOL(
144.39/144.66	       hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	         zero_zero_int))
144.39/144.66	     | ~ hBOOL(
144.39/144.66	           hAPP_int_bool(
144.39/144.66	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	             hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, n))))),
144.39/144.66	    inference('sup+', [status(thm)], ['12', '13'])).
144.39/144.66	tff(help_fTrue_1_1_T, axiom, (![P:bool]: ((P = fFalse) | (P = fTrue)))).
144.39/144.66	tff('15', plain, ![X11429 : bool]: (X11429 = fFalse | X11429 = fTrue),
144.39/144.66	    inference('cnf', [status(esa)], [help_fTrue_1_1_T])).
144.39/144.66	tff(fact_562_zless__le, axiom,
144.39/144.66	  (![Z_2:int,Wa:int]:
144.39/144.66	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,Z_2),Wa)) <=>
144.39/144.66	      ((Z_2 != Wa) & 
144.39/144.66	       hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Z_2),Wa)))))).
144.39/144.66	tff('16', plain,
144.39/144.66	    ![X987 : int, X988 : int]:
144.39/144.66	      (X988 != X987
144.39/144.66	       | ~ hBOOL(
144.39/144.66	             hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X988), X987))),
144.39/144.66	    inference('cnf', [status(esa)], [fact_562_zless__le])).
144.39/144.66	tff('17', plain,
144.39/144.66	    ![X987 : int]:
144.39/144.66	      ~ hBOOL(
144.39/144.66	          hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X987), X987)),
144.39/144.66	    inference('simplify', [status(thm)], ['16'])).
144.39/144.66	tff('18', plain,
144.39/144.66	    ![X0 : int]:
144.39/144.66	      (~ hBOOL(fTrue)
144.39/144.66	       | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse),
144.39/144.66	    inference('sup-', [status(thm)], ['15', '17'])).
144.39/144.66	tff(help_fTrue_1_1_U, axiom, (hBOOL(fTrue))).
144.39/144.66	tff('19', plain, hBOOL(fTrue),
144.39/144.66	    inference('cnf', [status(esa)], [help_fTrue_1_1_U])).
144.39/144.66	tff('20', plain,
144.39/144.66	    ![X0 : int]:
144.39/144.66	      (~ $true
144.39/144.66	       | hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse),
144.39/144.66	    inference('demod', [status(thm)], ['18', '19'])).
144.39/144.66	tff('21', plain,
144.39/144.66	    ![X0 : int]:
144.39/144.66	      hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, X0), X0) = fFalse,
144.39/144.66	    inference('simplify', [status(thm)], ['20'])).
144.39/144.66	tff(fact_738_zle__iff__zadd, axiom,
144.39/144.66	  (![Wa:int,Z_2:int]:
144.39/144.66	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,Wa),Z_2)) <=>
144.39/144.66	      (?[N_1:nat]:
144.39/144.66	         (Z_2 =
144.39/144.66	          hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int,Wa),
144.39/144.66	                       hAPP_nat_int(semiri1621563631at_int,N_1))))))).
144.39/144.66	tff('22', plain,
144.39/144.66	    ![X1384 : int, X1386 : int, X1387 : nat]:
144.39/144.66	      (hBOOL(
144.39/144.66	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X1384), X1386))
144.39/144.66	       | X1386
144.39/144.66	          != hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1384), 
144.39/144.66	               hAPP_nat_int(semiri1621563631at_int, X1387))),
144.39/144.66	    inference('cnf', [status(esa)], [fact_738_zle__iff__zadd])).
144.39/144.66	tff('23', plain,
144.39/144.66	    ![X1384 : int, X1387 : nat]:
144.39/144.66	      hBOOL(
144.39/144.66	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, X1384), 
144.39/144.66	          hAPP_int_int(hAPP_int_fun_int_int(plus_plus_int, X1384), 
144.39/144.66	            hAPP_nat_int(semiri1621563631at_int, X1387)))),
144.39/144.66	    inference('simplify', [status(thm)], ['22'])).
144.39/144.66	tff('24', plain,
144.39/144.66	    ![X0 : nat]:
144.39/144.66	      hBOOL(
144.39/144.66	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), 
144.39/144.66	          hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0)))),
144.39/144.66	    inference('sup+', [status(thm)], ['3', '23'])).
144.39/144.66	tff(fact_770_int__one__le__iff__zero__less, axiom,
144.39/144.66	  (![Z_2:int]:
144.39/144.66	     (hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),
144.39/144.66	                          Z_2)) <=>
144.39/144.66	      hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int,zero_zero_int),
144.39/144.66	                          Z_2))))).
144.39/144.66	tff('25', plain,
144.39/144.66	    ![X1450 : int]:
144.39/144.66	      (hBOOL(
144.39/144.66	         hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	           X1450))
144.39/144.66	       | ~ hBOOL(
144.39/144.66	             hAPP_int_bool(
144.39/144.66	               hAPP_i1948725293t_bool(ord_less_eq_int, one_one_int), X1450))),
144.39/144.66	    inference('cnf', [status(esa)], [fact_770_int__one__le__iff__zero__less])).
144.39/144.66	tff('26', plain,
144.39/144.66	    ![X0 : nat]:
144.39/144.66	      (~ $true
144.39/144.66	       | hBOOL(
144.39/144.66	           hAPP_int_bool(
144.39/144.66	             hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	             hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0))))),
144.39/144.66	    inference('sup-', [status(thm)], ['24', '25'])).
144.39/144.66	tff('27', plain,
144.39/144.66	    ![X0 : nat]:
144.39/144.66	      hBOOL(
144.39/144.66	        hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_int, zero_zero_int), 
144.39/144.66	          hAPP_int_int(succ, hAPP_nat_int(semiri1621563631at_int, X0)))),
144.39/144.66	    inference('simplify', [status(thm)], ['26'])).
144.39/144.66	tff('28', plain, (hBOOL(fFalse) | ~ $true),
144.39/144.66	    inference('demod', [status(thm)], ['14', '21', '27'])).
144.39/144.66	tff('29', plain, hBOOL(fFalse), inference('simplify', [status(thm)], ['28'])).
144.39/144.66	tff(help_fFalse_1_1_U, axiom, (~hBOOL(fFalse))).
144.39/144.66	tff('30', plain, ~ hBOOL(fFalse),
144.39/144.66	    inference('cnf', [status(esa)], [help_fFalse_1_1_U])).
144.39/144.66	tff('31', plain, ~ $true, inference('sup-', [status(thm)], ['29', '30'])).
144.39/144.66	tff('32', plain, $false, inference('simplify', [status(thm)], ['31'])).
144.39/144.66	
144.39/144.66	% SZS output end Refutation
144.39/144.67	EOF
