TSTP Solution File: KLE010+1 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE010+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 05:31:38 EDT 2023
% Result : Theorem 32.57s 5.22s
% Output : CNFRefutation 32.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 15
% Syntax : Number of formulae : 177 ( 143 unt; 0 def)
% Number of atoms : 250 ( 178 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 124 ( 51 ~; 32 |; 27 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 191 ( 0 sgn; 78 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f5,axiom,
! [X0,X1,X2] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f8,axiom,
! [X0,X1,X2] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_distributivity) ).
fof(f9,axiom,
! [X0,X1,X2] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f14,axiom,
! [X3,X4] :
( complement(X4,X3)
<=> ( one = addition(X3,X4)
& zero = multiplication(X4,X3)
& zero = multiplication(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f17,conjecture,
! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f18,negated_conjecture,
~ ! [X3,X4] :
( ( test(X3)
& test(X4) )
=> one = addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))) ),
inference(negated_conjecture,[],[f17]) ).
fof(f19,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f20,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f21,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f24,plain,
~ ! [X0,X1] :
( ( test(X0)
& test(X1) )
=> one = addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))) ),
inference(rectify,[],[f18]) ).
fof(f25,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f27,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(ennf_transformation,[],[f24]) ).
fof(f28,plain,
? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) ),
inference(flattening,[],[f27]) ).
fof(f29,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f20]) ).
fof(f30,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f29]) ).
fof(f31,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f32,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f30,f31]) ).
fof(f33,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f34,plain,
! [X0,X1] :
( ( complement(X1,X0)
| addition(X0,X1) != one
| zero != multiplication(X1,X0)
| zero != multiplication(X0,X1) )
& ( ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) )
| ~ complement(X1,X0) ) ),
inference(flattening,[],[f33]) ).
fof(f35,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f25]) ).
fof(f36,plain,
( ? [X0,X1] :
( one != addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1)))
& test(X0)
& test(X1) )
=> ( one != addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK1)
& test(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f37,plain,
( one != addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2)))
& test(sK1)
& test(sK2) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2])],[f28,f36]) ).
fof(f38,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f19]) ).
fof(f40,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f41,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f42,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f43,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f44,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f45,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f46,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f49,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f51,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f53,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f34]) ).
fof(f55,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f35]) ).
fof(f58,plain,
test(sK2),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
test(sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
one != addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f55]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f38]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f39]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f40]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f41]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f42]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f43]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f44]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f45]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f46]) ).
cnf(c_61,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f49]) ).
cnf(c_63,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f53]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_67,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_69,negated_conjecture,
addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))) != one,
inference(cnf_transformation,[],[f60]) ).
cnf(c_70,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f59]) ).
cnf(c_71,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f58]) ).
cnf(c_88,negated_conjecture,
addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))) != one,
inference(theory_normalisation,[status(thm)],[c_69,c_50,c_49]) ).
cnf(c_199,plain,
addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),multiplication(c(sK1),addition(c(sK2),sK2))))) != one,
inference(ac_demodulation,[status(thm)],[c_88,c_56,c_50,c_49]) ).
cnf(c_200,plain,
addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),addition(c(sK2),sK2)),multiplication(addition(c(sK2),sK2),sK1))) != one,
inference(ac_demodulation,[status(thm)],[c_199,c_57,c_50,c_49]) ).
cnf(c_201,plain,
addition(multiplication(sK1,sK2),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(c(sK1),addition(sK2,c(sK2))))) != one,
inference(theory_normalisation,[status(thm)],[c_200,c_50,c_49]) ).
cnf(c_703,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_706,plain,
addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(sK1,sK2),multiplication(c(sK1),addition(sK2,c(sK2))))) != one,
inference(theory_normalisation,[status(thm)],[c_201,c_50,c_49]) ).
cnf(c_707,plain,
addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))) != one,
inference(demodulation,[status(thm)],[c_706,c_56,c_57]) ).
cnf(c_708,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))) != one,
inference(theory_normalisation,[status(thm)],[c_707,c_50,c_49]) ).
cnf(c_714,plain,
addition(X0,addition(X1,X0)) = addition(X1,X0),
inference(superposition,[status(thm)],[c_52,c_703]) ).
cnf(c_744,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_762,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_763,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_764,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_763,c_50,c_49]) ).
cnf(c_785,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_67,c_65]) ).
cnf(c_793,plain,
addition(X0,addition(X0,X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_714]) ).
cnf(c_815,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_70,c_762]) ).
cnf(c_816,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_71,c_762]) ).
cnf(c_824,plain,
addition(sK0(sK1),one) = one,
inference(superposition,[status(thm)],[c_815,c_714]) ).
cnf(c_825,plain,
addition(sK1,addition(X0,sK0(sK1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_815,c_703]) ).
cnf(c_827,plain,
addition(one,sK0(sK1)) = one,
inference(theory_normalisation,[status(thm)],[c_824,c_50,c_49]) ).
cnf(c_883,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_815,c_56]) ).
cnf(c_896,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_883,c_54]) ).
cnf(c_918,plain,
addition(sK2,addition(sK0(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_816,c_50]) ).
cnf(c_963,plain,
addition(one,one) = addition(sK1,one),
inference(superposition,[status(thm)],[c_827,c_825]) ).
cnf(c_971,plain,
addition(one,one) = addition(one,sK1),
inference(theory_normalisation,[status(thm)],[c_963,c_50,c_49]) ).
cnf(c_1038,plain,
addition(sK0(sK2),sK2) = addition(one,sK2),
inference(superposition,[status(thm)],[c_918,c_714]) ).
cnf(c_1039,plain,
addition(sK2,sK0(sK2)) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_1038,c_50,c_49]) ).
cnf(c_1040,plain,
addition(one,sK2) = one,
inference(light_normalisation,[status(thm)],[c_1039,c_816]) ).
cnf(c_1069,plain,
addition(one,addition(sK2,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1040,c_50]) ).
cnf(c_1071,plain,
addition(multiplication(X0,one),multiplication(X0,sK2)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1040,c_56]) ).
cnf(c_1075,plain,
addition(X0,multiplication(X0,sK2)) = X0,
inference(light_normalisation,[status(thm)],[c_1071,c_54]) ).
cnf(c_1112,plain,
addition(one,addition(X0,sK2)) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_1069]) ).
cnf(c_1235,plain,
addition(multiplication(X0,sK1),X0) = X0,
inference(superposition,[status(thm)],[c_896,c_793]) ).
cnf(c_1257,plain,
addition(X0,multiplication(X0,sK1)) = X0,
inference(theory_normalisation,[status(thm)],[c_1235,c_50,c_49]) ).
cnf(c_1321,plain,
addition(multiplication(one,X0),multiplication(sK2,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1040,c_57]) ).
cnf(c_1335,plain,
addition(X0,multiplication(sK2,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1321,c_55]) ).
cnf(c_1605,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,sK2))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1075,c_56]) ).
cnf(c_1651,plain,
addition(one,sK1) = one,
inference(demodulation,[status(thm)],[c_971,c_52]) ).
cnf(c_1654,plain,
addition(one,addition(sK1,X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1651,c_50]) ).
cnf(c_1658,plain,
addition(multiplication(one,X0),multiplication(sK1,X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1651,c_57]) ).
cnf(c_1661,plain,
addition(X0,multiplication(sK1,X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1658,c_55]) ).
cnf(c_1678,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(X1,sK1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1257,c_56]) ).
cnf(c_1686,plain,
addition(one,multiplication(sK2,sK1)) = addition(one,sK2),
inference(superposition,[status(thm)],[c_1257,c_1069]) ).
cnf(c_1688,plain,
addition(one,multiplication(sK2,sK1)) = one,
inference(light_normalisation,[status(thm)],[c_1686,c_1040]) ).
cnf(c_1741,plain,
addition(X0,addition(multiplication(sK2,X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1335,c_50]) ).
cnf(c_1743,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(sK2,X1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1335,c_56]) ).
cnf(c_2099,plain,
addition(one,addition(multiplication(sK2,sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_1688,c_50]) ).
cnf(c_2101,plain,
addition(multiplication(X0,one),multiplication(X0,multiplication(sK2,sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_1688,c_56]) ).
cnf(c_2107,plain,
addition(X0,multiplication(X0,multiplication(sK2,sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_2101,c_54]) ).
cnf(c_2426,plain,
addition(X0,addition(multiplication(sK1,X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1661,c_50]) ).
cnf(c_2428,plain,
addition(multiplication(X0,X1),multiplication(X0,multiplication(sK1,X1))) = multiplication(X0,X1),
inference(superposition,[status(thm)],[c_1661,c_56]) ).
cnf(c_3870,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_70,c_764]) ).
cnf(c_3871,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_71,c_764]) ).
cnf(c_3885,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_3870,c_50]) ).
cnf(c_3887,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3870,c_56]) ).
cnf(c_3889,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3870,c_57]) ).
cnf(c_3893,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3889,c_55]) ).
cnf(c_3894,plain,
addition(multiplication(X0,sK1),multiplication(X0,c(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_3887,c_54]) ).
cnf(c_3918,plain,
addition(c(sK2),one) = one,
inference(superposition,[status(thm)],[c_3871,c_714]) ).
cnf(c_3919,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3871,c_56]) ).
cnf(c_3921,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3871,c_57]) ).
cnf(c_3925,plain,
addition(one,c(sK2)) = one,
inference(theory_normalisation,[status(thm)],[c_3918,c_50,c_49]) ).
cnf(c_3926,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3921,c_55]) ).
cnf(c_3927,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_3919,c_54]) ).
cnf(c_3931,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),c(sK1)))) != one,
inference(demodulation,[status(thm)],[c_708,c_3927]) ).
cnf(c_4031,plain,
addition(sK1,addition(X0,c(sK1))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_3885]) ).
cnf(c_4543,plain,
addition(one,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_3925,c_50]) ).
cnf(c_4545,plain,
addition(multiplication(X0,one),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3925,c_56]) ).
cnf(c_4548,plain,
addition(one,addition(X0,c(sK2))) = addition(X0,one),
inference(superposition,[status(thm)],[c_3925,c_703]) ).
cnf(c_4551,plain,
addition(X0,multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_4545,c_54]) ).
cnf(c_5488,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_70,c_785]) ).
cnf(c_5489,plain,
multiplication(c(sK2),sK2) = zero,
inference(superposition,[status(thm)],[c_71,c_785]) ).
cnf(c_5996,plain,
addition(multiplication(sK2,X0),addition(multiplication(c(sK2),X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_3926,c_50]) ).
cnf(c_6146,plain,
addition(sK1,addition(X0,addition(X1,c(sK1)))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_4031]) ).
cnf(c_6565,plain,
addition(one,addition(X0,addition(X1,sK2))) = addition(one,addition(X0,X1)),
inference(superposition,[status(thm)],[c_50,c_1112]) ).
cnf(c_7017,plain,
addition(X0,addition(multiplication(X0,multiplication(sK2,sK1)),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_2107,c_50]) ).
cnf(c_7025,plain,
addition(one,multiplication(sK1,multiplication(sK2,sK1))) = addition(one,sK1),
inference(superposition,[status(thm)],[c_2107,c_1654]) ).
cnf(c_7033,plain,
addition(one,multiplication(sK1,multiplication(sK2,sK1))) = one,
inference(light_normalisation,[status(thm)],[c_7025,c_1651]) ).
cnf(c_7469,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(X0,one),
inference(superposition,[status(thm)],[c_7033,c_703]) ).
cnf(c_8794,plain,
addition(one,c(sK2)) = addition(one,zero),
inference(superposition,[status(thm)],[c_51,c_4543]) ).
cnf(c_8840,plain,
addition(one,c(sK2)) = addition(zero,one),
inference(theory_normalisation,[status(thm)],[c_8794,c_50,c_49]) ).
cnf(c_12239,plain,
addition(X0,addition(X1,multiplication(sK2,X0))) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_1741]) ).
cnf(c_13104,plain,
addition(X0,addition(X1,multiplication(sK1,X0))) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_2426]) ).
cnf(c_13134,plain,
addition(X0,multiplication(multiplication(sK1,X0),c(sK2))) = addition(X0,multiplication(sK1,X0)),
inference(superposition,[status(thm)],[c_4551,c_2426]) ).
cnf(c_13259,plain,
addition(X0,multiplication(multiplication(sK1,X0),c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_13134,c_1661]) ).
cnf(c_19790,plain,
addition(c(sK1),multiplication(sK2,sK1)) = addition(c(sK1),sK2),
inference(superposition,[status(thm)],[c_3894,c_12239]) ).
cnf(c_19908,plain,
addition(multiplication(sK2,sK1),c(sK1)) = addition(sK2,c(sK1)),
inference(theory_normalisation,[status(thm)],[c_19790,c_50,c_49]) ).
cnf(c_20285,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(one,addition(multiplication(sK2,sK1),X0)),
inference(superposition,[status(thm)],[c_13104,c_2099]) ).
cnf(c_20380,plain,
addition(one,addition(X0,multiplication(sK1,multiplication(sK2,sK1)))) = addition(one,X0),
inference(light_normalisation,[status(thm)],[c_20285,c_2099,c_7469]) ).
cnf(c_20774,plain,
addition(X0,multiplication(sK1,multiplication(X0,c(sK2)))) = X0,
inference(demodulation,[status(thm)],[c_13259,c_53]) ).
cnf(c_20791,plain,
addition(X0,addition(multiplication(sK1,multiplication(X0,c(sK2))),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_20774,c_50]) ).
cnf(c_38785,plain,
addition(zero,multiplication(c(sK1),multiplication(sK2,sK1))) = zero,
inference(superposition,[status(thm)],[c_5488,c_1743]) ).
cnf(c_38961,plain,
multiplication(c(sK1),multiplication(sK2,sK1)) = zero,
inference(demodulation,[status(thm)],[c_38785,c_744]) ).
cnf(c_38980,plain,
addition(multiplication(sK1,multiplication(sK2,sK1)),zero) = multiplication(sK2,sK1),
inference(superposition,[status(thm)],[c_38961,c_3893]) ).
cnf(c_38990,plain,
addition(zero,multiplication(sK1,multiplication(sK2,sK1))) = multiplication(sK2,sK1),
inference(theory_normalisation,[status(thm)],[c_38980,c_50,c_49]) ).
cnf(c_48448,plain,
addition(zero,multiplication(c(sK2),multiplication(sK1,sK2))) = zero,
inference(superposition,[status(thm)],[c_5489,c_2428]) ).
cnf(c_48845,plain,
multiplication(c(sK2),multiplication(sK1,sK2)) = zero,
inference(demodulation,[status(thm)],[c_48448,c_744]) ).
cnf(c_48867,plain,
addition(multiplication(sK2,multiplication(sK1,sK2)),zero) = multiplication(sK1,sK2),
inference(superposition,[status(thm)],[c_48845,c_3926]) ).
cnf(c_48877,plain,
addition(zero,multiplication(sK2,multiplication(sK1,sK2))) = multiplication(sK1,sK2),
inference(theory_normalisation,[status(thm)],[c_48867,c_50,c_49]) ).
cnf(c_59557,plain,
multiplication(sK1,multiplication(sK2,sK1)) = multiplication(sK2,sK1),
inference(demodulation,[status(thm)],[c_38990,c_744]) ).
cnf(c_59567,plain,
addition(multiplication(sK1,sK2),multiplication(sK2,sK1)) = multiplication(sK1,sK2),
inference(superposition,[status(thm)],[c_59557,c_1678]) ).
cnf(c_59594,plain,
addition(multiplication(sK2,sK1),multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(theory_normalisation,[status(thm)],[c_59567,c_50,c_49]) ).
cnf(c_60886,plain,
multiplication(sK2,multiplication(sK1,sK2)) = multiplication(sK1,sK2),
inference(demodulation,[status(thm)],[c_48877,c_744]) ).
cnf(c_60907,plain,
addition(multiplication(sK2,sK1),multiplication(sK1,sK2)) = multiplication(sK2,sK1),
inference(superposition,[status(thm)],[c_60886,c_1605]) ).
cnf(c_67904,plain,
multiplication(sK2,sK1) = multiplication(sK1,sK2),
inference(light_normalisation,[status(thm)],[c_59594,c_60907]) ).
cnf(c_72050,plain,
addition(one,addition(multiplication(sK1,multiplication(sK2,sK1)),X0)) = addition(sK1,addition(X0,c(sK1))),
inference(superposition,[status(thm)],[c_6146,c_7017]) ).
cnf(c_127851,plain,
addition(one,addition(multiplication(sK1,multiplication(one,c(sK2))),X0)) = addition(one,addition(X0,sK2)),
inference(superposition,[status(thm)],[c_20791,c_6565]) ).
cnf(c_127889,plain,
addition(multiplication(sK1,multiplication(one,c(sK2))),one) = addition(one,c(sK2)),
inference(superposition,[status(thm)],[c_20791,c_4548]) ).
cnf(c_127983,plain,
addition(one,multiplication(sK1,multiplication(one,c(sK2)))) = addition(one,c(sK2)),
inference(theory_normalisation,[status(thm)],[c_127889,c_50,c_49]) ).
cnf(c_127984,plain,
addition(one,multiplication(sK1,multiplication(one,c(sK2)))) = addition(zero,one),
inference(light_normalisation,[status(thm)],[c_127983,c_8840]) ).
cnf(c_136886,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(sK2,c(sK1)))) != one,
inference(light_normalisation,[status(thm)],[c_3931,c_19908,c_67904]) ).
cnf(c_136887,plain,
one != one,
inference(demodulation,[status(thm)],[c_136886,c_744,c_5996,c_20380,c_72050,c_127851,c_127984]) ).
cnf(c_136888,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_136887]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE010+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 12:14:25 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 32.57/5.22 % SZS status Started for theBenchmark.p
% 32.57/5.22 % SZS status Theorem for theBenchmark.p
% 32.57/5.22
% 32.57/5.22 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 32.57/5.22
% 32.57/5.22 ------ iProver source info
% 32.57/5.22
% 32.57/5.22 git: date: 2023-05-31 18:12:56 +0000
% 32.57/5.22 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 32.57/5.22 git: non_committed_changes: false
% 32.57/5.22 git: last_make_outside_of_git: false
% 32.57/5.22
% 32.57/5.22 ------ Parsing...
% 32.57/5.22 ------ Clausification by vclausify_rel & Parsing by iProver...
% 32.57/5.22
% 32.57/5.22 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 32.57/5.22
% 32.57/5.22 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 32.57/5.22
% 32.57/5.22 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 32.57/5.22 ------ Proving...
% 32.57/5.22 ------ Problem Properties
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22 clauses 23
% 32.57/5.22 conjectures 2
% 32.57/5.22 EPR 3
% 32.57/5.22 Horn 22
% 32.57/5.22 unary 14
% 32.57/5.22 binary 7
% 32.57/5.22 lits 35
% 32.57/5.22 lits eq 20
% 32.57/5.22 fd_pure 0
% 32.57/5.22 fd_pseudo 0
% 32.57/5.22 fd_cond 0
% 32.57/5.22 fd_pseudo_cond 1
% 32.57/5.22 AC symbols 1
% 32.57/5.22
% 32.57/5.22 ------ Schedule dynamic 5 is on
% 32.57/5.22
% 32.57/5.22 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22 ------
% 32.57/5.22 Current options:
% 32.57/5.22 ------
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22 ------ Proving...
% 32.57/5.22
% 32.57/5.22
% 32.57/5.22 % SZS status Theorem for theBenchmark.p
% 32.57/5.22
% 32.57/5.22 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 32.57/5.23
% 32.57/5.23
%------------------------------------------------------------------------------