0.00/0.00	% File    : /export/starexec/sandbox2/benchmark/theBenchmark.p
0.00/0.00	% app-encoded or not : original
0.00/0.00	% Variant    : purification_int
0.00/0.00	% Ordering    : kbo
0.00/0.00	% Command    : 
0.00/0.00	#!/bin/sh
0.00/0.00	
0.00/0.00	./zipperposition.native ${1:+"$1"} \
0.00/0.00	  -i tptp \
0.00/0.00	  -o tptp \
0.00/0.00	  --timeout "$STAREXEC_WALLCLOCK_LIMIT" \
0.00/0.00	  --mem-limit "$STAREXEC_MAX_MEM" \
0.00/0.00	  --no-avatar \
0.00/0.00	  --ho \
0.00/0.00	  --force-ho \
0.00/0.00	  --no-ho-elim-pred-var \
0.00/0.00	  --ho-general-ext-pos \
0.00/0.00	  --no-ho-unif \
0.00/0.00	  --no-induction \
0.00/0.00	  --no-unif-pattern \
0.00/0.00	  --ord $2  \
0.00/0.00	  --simultaneous-sup false \
0.00/0.00	  --ho-purify int \
0.00/0.00	  --ho-no-ext-pos \
0.00/0.00	  --ho-no-ext-neg \
0.00/0.00	  --ho-prim-enum none \
0.00/0.00	  --no-max-vars \
0.00/0.00	  --dont-select-ho-var-lits \
0.00/0.00	  --no-fool
0.00/0.20	% Computer   : n080.star.cs.uiowa.edu
0.00/0.20	% Model      : x86_64 x86_64
0.00/0.20	% CPU        : Intel(R) Xeon(R) CPU E5-2609 0 @ 2.40GHz
0.00/0.20	% Memory     : 32218.625MB
0.00/0.20	% OS         : Linux 3.10.0-693.2.2.el7.x86_64
0.00/0.20	% CPULimit   : 300
0.00/0.20	% DateTime   : Fri Feb  2 14:28:10 CST 2018
0.62/0.85	% done 926 iterations in 0.649s
0.62/0.85	% SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
0.62/0.85	% SZS output start Refutation
0.62/0.85	tff(fact_6_divide__zero__left, axiom,
0.62/0.85	  (![A:$tType]:
0.62/0.85	     (division_ring(A) =>
0.62/0.85	      (![A1:A]: (inverse_divide(A,zero_zero(A),A1) = zero_zero(A)))))).
0.62/0.85	tff('0', plain,
0.62/0.85	    ![X7 : $tType, X8 : X7]:
0.62/0.85	      (inverse_divide(X7, zero_zero(X7), X8) = zero_zero(X7)
0.62/0.85	       | ~ division_ring(X7)),
0.62/0.85	    inference('cnf', [status(esa)], [fact_6_divide__zero__left])).
0.62/0.85	tff(fact_9_diff__self, axiom,
0.62/0.85	  (![A:$tType]:
0.62/0.85	     (group_add(A) => (![A1:A]: (minus_minus(A,A1,A1) = zero_zero(A)))))).
0.62/0.85	tff('1', plain,
0.62/0.85	    ![X15 : $tType, X16 : X15]:
0.62/0.85	      (minus_minus(X15, X16, X16) = zero_zero(X15) | ~ group_add(X15)),
0.62/0.85	    inference('cnf', [status(esa)], [fact_9_diff__self])).
0.62/0.85	tff(conj_0, conjecture,
0.62/0.85	  (inverse_divide(complex,
0.62/0.85	                  minus_minus(complex,
0.62/0.85	                              power_power(complex,
0.62/0.85	                                          power_power(complex,
0.62/0.85	                                                      fFT_Mirabelle_root(n),n),
0.62/0.85	                                          k),
0.62/0.85	                              one_one(complex)),
0.62/0.85	                  minus_minus(complex,
0.62/0.85	                              power_power(complex,fFT_Mirabelle_root(n),k),
0.62/0.85	                              one_one(complex))) =
0.62/0.85	   zero_zero(complex))).
0.62/0.85	tff(zf_stmt_0, negated_conjecture,
0.62/0.85	  (inverse_divide(complex,
0.62/0.85	                  minus_minus(complex,
0.62/0.85	                              power_power(complex,
0.62/0.85	                                          power_power(complex,
0.62/0.85	                                                      fFT_Mirabelle_root(n),n),
0.62/0.85	                                          k),
0.62/0.85	                              one_one(complex)),
0.62/0.85	                  minus_minus(complex,
0.62/0.85	                              power_power(complex,fFT_Mirabelle_root(n),k),
0.62/0.85	                              one_one(complex))) !=
0.62/0.85	   zero_zero(complex))).
0.62/0.85	tff('2', plain,
0.62/0.85	    inverse_divide(complex, 
0.62/0.85	      minus_minus(complex, 
0.62/0.85	        power_power(complex, power_power(complex, fFT_Mirabelle_root(n), n), 
0.62/0.85	          k), one_one(complex)), 
0.62/0.85	      minus_minus(complex, power_power(complex, fFT_Mirabelle_root(n), k), 
0.62/0.85	        one_one(complex)))
0.62/0.85	     != zero_zero(complex),
0.62/0.85	    inference('cnf', [status(esa)], [zf_stmt_0])).
0.62/0.85	tff(fact_3_root__unity, axiom,
0.62/0.85	  (![N:nat]:
0.62/0.85	     (power_power(complex,fFT_Mirabelle_root(N),N) = one_one(complex)))).
0.62/0.85	tff('3', plain,
0.62/0.85	    ![X1 : nat]:
0.62/0.85	      power_power(complex, fFT_Mirabelle_root(X1), X1) = one_one(complex),
0.62/0.85	    inference('cnf', [status(esa)], [fact_3_root__unity])).
0.62/0.85	tff(fact_4_divide__self__if, axiom,
0.62/0.85	  (![A:$tType]:
0.62/0.85	     (divisi14063676e_zero(A) =>
0.62/0.85	      (![A1:A]:
0.62/0.85	         (((A1 != zero_zero(A)) => (inverse_divide(A,A1,A1) = one_one(A))) & 
0.62/0.85	          ((A1 = zero_zero(A)) => (inverse_divide(A,A1,A1) = zero_zero(A)))))))).
0.62/0.85	tff('4', plain,
0.62/0.85	    ![X2 : $tType, X3 : X2]:
0.62/0.85	      (X3 = zero_zero(X2)
0.62/0.85	       | inverse_divide(X2, X3, X3) = one_one(X2)
0.62/0.85	       | ~ divisi14063676e_zero(X2)),
0.62/0.85	    inference('cnf', [status(esa)], [fact_4_divide__self__if])).
0.62/0.85	tff(fact_11_nonzero__power__divide, axiom,
0.62/0.85	  (![A:$tType]:
0.62/0.85	     (field(A) =>
0.62/0.85	      (![N:nat,A1:A,B:A]:
0.62/0.85	         ((B != zero_zero(A)) =>
0.62/0.85	          (power_power(A,inverse_divide(A,A1,B),N) =
0.62/0.85	           inverse_divide(A,power_power(A,A1,N),power_power(A,B,N)))))))).
0.62/0.85	tff('5', plain,
0.62/0.85	    ![X20 : $tType, X21 : X20, X22 : X20, X23 : nat]:
0.62/0.85	      (X21 = zero_zero(X20)
0.62/0.85	       | power_power(X20, inverse_divide(X20, X22, X21), X23)
0.62/0.85	          = inverse_divide(X20, power_power(X20, X22, X23), 
0.62/0.85	              power_power(X20, X21, X23))
0.62/0.85	       | ~ field(X20)),
0.62/0.85	    inference('cnf', [status(esa)], [fact_11_nonzero__power__divide])).
0.62/0.85	tff('6', plain,
0.62/0.85	    ![X0 : nat, X1 : complex]:
0.62/0.85	      (power_power(complex, 
0.62/0.85	         inverse_divide(complex, X1, fFT_Mirabelle_root(X0)), X0)
0.62/0.85	        = inverse_divide(complex, power_power(complex, X1, X0), 
0.62/0.85	            one_one(complex))
0.62/0.85	       | ~ field(complex)
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('sup+', [status(thm)], ['3', '5'])).
0.62/0.85	tff(arity_Complex_Ocomplex___Fields_Ofield, axiom, (field(complex))).
0.62/0.85	tff('7', plain, field(complex),
0.62/0.85	    inference('cnf', [status(esa)], [arity_Complex_Ocomplex___Fields_Ofield])).
0.62/0.85	tff('8', plain,
0.62/0.85	    ![X0 : nat, X1 : complex]:
0.62/0.85	      (power_power(complex, 
0.62/0.85	         inverse_divide(complex, X1, fFT_Mirabelle_root(X0)), X0)
0.62/0.85	        = inverse_divide(complex, power_power(complex, X1, X0), 
0.62/0.85	            one_one(complex))
0.62/0.85	       | ~ $true
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('demod', [status(thm)], ['6', '7'])).
0.62/0.85	tff('9', plain,
0.62/0.85	    ![X0 : nat, X1 : complex]:
0.62/0.85	      (fFT_Mirabelle_root(X0) = zero_zero(complex)
0.62/0.85	       | power_power(complex, 
0.62/0.85	           inverse_divide(complex, X1, fFT_Mirabelle_root(X0)), X0)
0.62/0.85	          = inverse_divide(complex, power_power(complex, X1, X0), 
0.62/0.85	              one_one(complex))),
0.62/0.85	    inference('simplify', [status(thm)], ['8'])).
0.62/0.85	tff(fact_2_root__nonzero, axiom,
0.62/0.85	  (![N:nat]: (fFT_Mirabelle_root(N) != zero_zero(complex)))).
0.62/0.85	tff('10', plain, ![X0 : nat]: fFT_Mirabelle_root(X0) != zero_zero(complex),
0.62/0.85	    inference('cnf', [status(esa)], [fact_2_root__nonzero])).
0.62/0.85	tff('11', plain,
0.62/0.85	    ![X0 : nat, X1 : complex]:
0.62/0.85	      power_power(complex, 
0.62/0.85	        inverse_divide(complex, X1, fFT_Mirabelle_root(X0)), X0)
0.62/0.85	       = inverse_divide(complex, power_power(complex, X1, X0), 
0.62/0.85	           one_one(complex)),
0.62/0.85	    inference('simplify_reflect-', [status(thm)], ['9', '10'])).
0.62/0.85	tff('12', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (power_power(complex, one_one(complex), X0)
0.62/0.85	        = inverse_divide(complex, 
0.62/0.85	            power_power(complex, fFT_Mirabelle_root(X0), X0), 
0.62/0.85	            one_one(complex))
0.62/0.85	       | ~ divisi14063676e_zero(complex)
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('sup+', [status(thm)], ['4', '11'])).
0.62/0.85	tff(arity_Complex_Ocomplex___Fields_Odivision__ring__inverse__zero, axiom,
0.62/0.85	  (divisi14063676e_zero(complex))).
0.62/0.85	tff('13', plain, divisi14063676e_zero(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Fields_Odivision__ring__inverse__zero])).
0.62/0.85	tff('14', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (power_power(complex, one_one(complex), X0)
0.62/0.85	        = inverse_divide(complex, one_one(complex), one_one(complex))
0.62/0.85	       | ~ $true
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('demod', [status(thm)], ['12', '3', '13'])).
0.62/0.85	tff('15', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (fFT_Mirabelle_root(X0) = zero_zero(complex)
0.62/0.85	       | power_power(complex, one_one(complex), X0)
0.62/0.85	          = inverse_divide(complex, one_one(complex), one_one(complex))),
0.62/0.85	    inference('simplify', [status(thm)], ['14'])).
0.62/0.85	tff('16', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      power_power(complex, one_one(complex), X0)
0.62/0.85	       = inverse_divide(complex, one_one(complex), one_one(complex)),
0.62/0.85	    inference('simplify_reflect-', [status(thm)], ['15', '10'])).
0.62/0.85	tff('17', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (power_power(complex, one_one(complex), X0) = one_one(complex)
0.62/0.85	       | ~ divisi14063676e_zero(complex)
0.62/0.85	       | one_one(complex) = zero_zero(complex)),
0.62/0.85	    inference('sup+', [status(thm)], ['4', '16'])).
0.62/0.85	tff('18', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (power_power(complex, one_one(complex), X0) = one_one(complex)
0.62/0.85	       | ~ $true
0.62/0.85	       | one_one(complex) = zero_zero(complex)),
0.62/0.85	    inference('demod', [status(thm)], ['17', '13'])).
0.62/0.85	tff('19', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (one_one(complex) = zero_zero(complex)
0.62/0.85	       | power_power(complex, one_one(complex), X0) = one_one(complex)),
0.62/0.85	    inference('simplify', [status(thm)], ['18'])).
0.62/0.85	tff(fact_8_power__eq__0__iff, axiom,
0.62/0.85	  (![A:$tType]:
0.62/0.85	     ((zero_neq_one(A) & no_zero_divisors(A) & mult_zero(A) & power(A)) =>
0.62/0.85	      (![Na:nat,A2:A]:
0.62/0.85	         ((power_power(A,A2,Na) = zero_zero(A)) <=>
0.62/0.85	          ((Na != zero_zero(nat)) & (A2 = zero_zero(A)))))))).
0.62/0.85	tff('20', plain,
0.62/0.85	    ![X11 : nat, X12 : $tType, X14 : X12]:
0.62/0.85	      (power_power(X12, X14, X11) != zero_zero(X12)
0.62/0.85	       | X14 = zero_zero(X12)
0.62/0.85	       | ~ power(X12)
0.62/0.85	       | ~ mult_zero(X12)
0.62/0.85	       | ~ no_zero_divisors(X12)
0.62/0.85	       | ~ zero_neq_one(X12)),
0.62/0.85	    inference('cnf', [status(esa)], [fact_8_power__eq__0__iff])).
0.62/0.85	tff('21', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (one_one(complex) != zero_zero(complex)
0.62/0.85	       | ~ zero_neq_one(complex)
0.62/0.85	       | ~ no_zero_divisors(complex)
0.62/0.85	       | ~ mult_zero(complex)
0.62/0.85	       | ~ power(complex)
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('sup-', [status(thm)], ['3', '20'])).
0.62/0.85	tff(arity_Complex_Ocomplex___Rings_Ozero__neq__one, axiom,
0.62/0.85	  (zero_neq_one(complex))).
0.62/0.85	tff('22', plain, zero_neq_one(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Rings_Ozero__neq__one])).
0.62/0.85	tff(arity_Complex_Ocomplex___Rings_Ono__zero__divisors, axiom,
0.62/0.85	  (no_zero_divisors(complex))).
0.62/0.85	tff('23', plain, no_zero_divisors(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Rings_Ono__zero__divisors])).
0.62/0.85	tff(arity_Complex_Ocomplex___Rings_Omult__zero, axiom, (mult_zero(complex))).
0.62/0.85	tff('24', plain, mult_zero(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Rings_Omult__zero])).
0.62/0.85	tff(arity_Complex_Ocomplex___Power_Opower, axiom, (power(complex))).
0.62/0.85	tff('25', plain, power(complex),
0.62/0.85	    inference('cnf', [status(esa)], [arity_Complex_Ocomplex___Power_Opower])).
0.62/0.85	tff('26', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (one_one(complex) != zero_zero(complex)
0.62/0.85	       | ~ $true
0.62/0.85	       | ~ $true
0.62/0.85	       | ~ $true
0.62/0.85	       | ~ $true
0.62/0.85	       | fFT_Mirabelle_root(X0) = zero_zero(complex)),
0.62/0.85	    inference('demod', [status(thm)], ['21', '22', '23', '24', '25'])).
0.62/0.85	tff('27', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      (fFT_Mirabelle_root(X0) = zero_zero(complex)
0.62/0.85	       | one_one(complex) != zero_zero(complex)),
0.62/0.85	    inference('simplify', [status(thm)], ['26'])).
0.62/0.85	tff('28', plain, one_one(complex) != zero_zero(complex),
0.62/0.85	    inference('simplify_reflect-', [status(thm)], ['27', '10'])).
0.62/0.85	tff('29', plain,
0.62/0.85	    ![X0 : nat]:
0.62/0.85	      power_power(complex, one_one(complex), X0) = one_one(complex),
0.62/0.85	    inference('simplify_reflect-', [status(thm)], ['19', '28'])).
0.62/0.85	tff('30', plain,
0.62/0.85	    inverse_divide(complex, 
0.62/0.85	      minus_minus(complex, one_one(complex), one_one(complex)), 
0.62/0.85	      minus_minus(complex, power_power(complex, fFT_Mirabelle_root(n), k), 
0.62/0.85	        one_one(complex)))
0.62/0.85	     != zero_zero(complex),
0.62/0.85	    inference('demod', [status(thm)], ['2', '3', '29'])).
0.62/0.85	tff('31', plain,
0.62/0.85	    (inverse_divide(complex, zero_zero(complex), 
0.62/0.85	       minus_minus(complex, power_power(complex, fFT_Mirabelle_root(n), k), 
0.62/0.85	         one_one(complex)))
0.62/0.85	      != zero_zero(complex)
0.62/0.85	     | ~ group_add(complex)),
0.62/0.85	    inference('sup-', [status(thm)], ['1', '30'])).
0.62/0.85	tff(arity_Complex_Ocomplex___Groups_Ogroup__add, axiom, (group_add(complex))).
0.62/0.85	tff('32', plain, group_add(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Groups_Ogroup__add])).
0.62/0.85	tff('33', plain,
0.62/0.85	    (inverse_divide(complex, zero_zero(complex), 
0.62/0.85	       minus_minus(complex, power_power(complex, fFT_Mirabelle_root(n), k), 
0.62/0.85	         one_one(complex)))
0.62/0.85	      != zero_zero(complex)
0.62/0.85	     | ~ $true),
0.62/0.85	    inference('demod', [status(thm)], ['31', '32'])).
0.62/0.85	tff('34', plain,
0.62/0.85	    inverse_divide(complex, zero_zero(complex), 
0.62/0.85	      minus_minus(complex, power_power(complex, fFT_Mirabelle_root(n), k), 
0.62/0.85	        one_one(complex)))
0.62/0.85	     != zero_zero(complex),
0.62/0.85	    inference('simplify', [status(thm)], ['33'])).
0.62/0.85	tff('35', plain,
0.62/0.85	    (zero_zero(complex) != zero_zero(complex) | ~ division_ring(complex)),
0.62/0.85	    inference('sup-', [status(thm)], ['0', '34'])).
0.62/0.85	tff(arity_Complex_Ocomplex___Fields_Odivision__ring, axiom,
0.62/0.85	  (division_ring(complex))).
0.62/0.85	tff('36', plain, division_ring(complex),
0.62/0.85	    inference('cnf', [status(esa)],
0.62/0.85	              [arity_Complex_Ocomplex___Fields_Odivision__ring])).
0.62/0.85	tff('37', plain, (zero_zero(complex) != zero_zero(complex) | ~ $true),
0.62/0.85	    inference('demod', [status(thm)], ['35', '36'])).
0.62/0.85	tff('38', plain, $false, inference('simplify', [status(thm)], ['37'])).
0.62/0.85	
0.62/0.85	% SZS output end Refutation
0.62/0.85	EOF
