TSTP Solution File: KLE010+3 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE010+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n008.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 05:31:39 EDT 2023
% Result : Theorem 17.02s 3.21s
% Output : CNFRefutation 17.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 15
% Syntax : Number of formulae : 133 ( 90 unt; 0 def)
% Number of atoms : 221 ( 134 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 151 ( 63 ~; 43 |; 29 &)
% ( 7 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 154 ( 0 sgn; 82 !; 11 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f2,axiom,
! [X2,X1,X0] : addition(X0,addition(X1,X2)) = addition(addition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_associativity) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',left_distributivity) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f17,axiom,
! [X3,X4] :
( ( test(X4)
& test(X3) )
=> c(addition(X3,X4)) = multiplication(c(X3),c(X4)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_deMorgan1) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f20,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,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(rectify,[],[f2]) ).
fof(f22,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f23,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
fof(f24,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f26,plain,
! [X0,X1] :
( ( test(X1)
& test(X0) )
=> c(addition(X0,X1)) = multiplication(c(X0),c(X1)) ),
inference(rectify,[],[f17]) ).
fof(f28,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,[],[f20]) ).
fof(f29,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f31,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f32,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(flattening,[],[f31]) ).
fof(f35,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,[],[f28]) ).
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) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f38,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f37]) ).
fof(f39,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f40,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f38,f39]) ).
fof(f41,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,[],[f23]) ).
fof(f42,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,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f44,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(f45,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])],[f36,f44]) ).
fof(f46,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f47,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f21]) ).
fof(f48,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f49,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f51,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f52,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f53,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f54,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f57,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f40]) ).
fof(f59,plain,
! [X0,X1] :
( zero = multiplication(X0,X1)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f61,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f42]) ).
fof(f63,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
! [X0,X1] :
( c(addition(X0,X1)) = multiplication(c(X0),c(X1))
| ~ test(X1)
| ~ test(X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f68,plain,
test(sK2),
inference(cnf_transformation,[],[f45]) ).
fof(f69,plain,
test(sK1),
inference(cnf_transformation,[],[f45]) ).
fof(f70,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,[],[f45]) ).
fof(f71,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f63]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f46]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f47]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f48]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f49]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f51]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f52]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f53]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f54]) ).
cnf(c_61,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f57]) ).
cnf(c_63,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f61]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| multiplication(X1,X0) = zero ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_67,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f71]) ).
cnf(c_69,plain,
( ~ test(X0)
| ~ test(X1)
| multiplication(c(X0),c(X1)) = c(addition(X0,X1)) ),
inference(cnf_transformation,[],[f66]) ).
cnf(c_71,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,[],[f70]) ).
cnf(c_72,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f69]) ).
cnf(c_73,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f68]) ).
cnf(c_92,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_71,c_50,c_49]) ).
cnf(c_227,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_92,c_56,c_50,c_49]) ).
cnf(c_228,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_227,c_57,c_50,c_49]) ).
cnf(c_229,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_228,c_50,c_49]) ).
cnf(c_636,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_639,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_229,c_50,c_49]) ).
cnf(c_640,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_639,c_56,c_57]) ).
cnf(c_641,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_640,c_50,c_49]) ).
cnf(c_647,plain,
addition(X0,addition(X1,X0)) = addition(X1,X0),
inference(superposition,[status(thm)],[c_52,c_636]) ).
cnf(c_677,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_695,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
cnf(c_696,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_67,c_63]) ).
cnf(c_697,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_696,c_50,c_49]) ).
cnf(c_717,plain,
( ~ test(X0)
| multiplication(X0,sK0(X0)) = zero ),
inference(superposition,[status(thm)],[c_61,c_65]) ).
cnf(c_718,plain,
( ~ test(X0)
| multiplication(c(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_67,c_65]) ).
cnf(c_748,plain,
addition(sK1,sK0(sK1)) = one,
inference(superposition,[status(thm)],[c_72,c_695]) ).
cnf(c_749,plain,
addition(sK2,sK0(sK2)) = one,
inference(superposition,[status(thm)],[c_73,c_695]) ).
cnf(c_770,plain,
addition(sK1,addition(sK0(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_748,c_50]) ).
cnf(c_814,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_748,c_56]) ).
cnf(c_827,plain,
addition(multiplication(X0,sK1),multiplication(X0,sK0(sK1))) = X0,
inference(light_normalisation,[status(thm)],[c_814,c_54]) ).
cnf(c_847,plain,
addition(sK2,addition(sK0(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_749,c_50]) ).
cnf(c_971,plain,
addition(sK0(sK2),sK2) = addition(one,sK2),
inference(superposition,[status(thm)],[c_847,c_647]) ).
cnf(c_972,plain,
addition(sK2,sK0(sK2)) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_971,c_50,c_49]) ).
cnf(c_973,plain,
addition(one,sK2) = one,
inference(light_normalisation,[status(thm)],[c_972,c_749]) ).
cnf(c_997,plain,
addition(multiplication(X0,one),multiplication(X0,sK2)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_973,c_56]) ).
cnf(c_1001,plain,
addition(X0,multiplication(X0,sK2)) = X0,
inference(light_normalisation,[status(thm)],[c_997,c_54]) ).
cnf(c_1364,plain,
( ~ test(X0)
| multiplication(c(sK1),c(X0)) = c(addition(sK1,X0)) ),
inference(superposition,[status(thm)],[c_72,c_69]) ).
cnf(c_1365,plain,
( ~ test(X0)
| multiplication(c(sK2),c(X0)) = c(addition(sK2,X0)) ),
inference(superposition,[status(thm)],[c_73,c_69]) ).
cnf(c_1615,plain,
addition(X0,addition(multiplication(X0,sK2),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1001,c_50]) ).
cnf(c_1711,plain,
multiplication(c(sK1),c(sK2)) = c(addition(sK1,sK2)),
inference(superposition,[status(thm)],[c_73,c_1364]) ).
cnf(c_1713,plain,
multiplication(c(sK1),c(sK2)) = c(addition(sK2,sK1)),
inference(theory_normalisation,[status(thm)],[c_1711,c_50,c_49]) ).
cnf(c_1742,plain,
multiplication(c(sK2),c(sK1)) = c(addition(sK2,sK1)),
inference(superposition,[status(thm)],[c_72,c_1365]) ).
cnf(c_2559,plain,
multiplication(c(sK2),c(sK1)) = multiplication(c(sK1),c(sK2)),
inference(light_normalisation,[status(thm)],[c_1713,c_1742]) ).
cnf(c_2560,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK2),c(sK1)))))) != one,
inference(demodulation,[status(thm)],[c_641,c_2559]) ).
cnf(c_2561,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),c(sK1)),multiplication(c(sK1),sK2))))) != one,
inference(theory_normalisation,[status(thm)],[c_2560,c_50,c_49]) ).
cnf(c_3112,plain,
addition(sK1,c(sK1)) = one,
inference(superposition,[status(thm)],[c_72,c_697]) ).
cnf(c_3113,plain,
addition(sK2,c(sK2)) = one,
inference(superposition,[status(thm)],[c_73,c_697]) ).
cnf(c_3162,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3112,c_57]) ).
cnf(c_3163,plain,
addition(sK1,addition(X0,c(sK1))) = addition(X0,one),
inference(superposition,[status(thm)],[c_3112,c_636]) ).
cnf(c_3166,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3162,c_55]) ).
cnf(c_3199,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_3113,c_56]) ).
cnf(c_3201,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_3113,c_57]) ).
cnf(c_3206,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_3201,c_55]) ).
cnf(c_3207,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_3199,c_54]) ).
cnf(c_4628,plain,
addition(sK1,addition(X0,addition(X1,c(sK1)))) = addition(X0,addition(X1,one)),
inference(superposition,[status(thm)],[c_3163,c_636]) ).
cnf(c_5473,plain,
multiplication(sK1,sK0(sK1)) = zero,
inference(superposition,[status(thm)],[c_72,c_717]) ).
cnf(c_5893,plain,
multiplication(c(sK1),sK1) = zero,
inference(superposition,[status(thm)],[c_72,c_718]) ).
cnf(c_5944,plain,
addition(zero,multiplication(c(sK1),sK0(sK1))) = c(sK1),
inference(superposition,[status(thm)],[c_5893,c_827]) ).
cnf(c_5962,plain,
multiplication(c(sK1),sK0(sK1)) = c(sK1),
inference(demodulation,[status(thm)],[c_5944,c_677]) ).
cnf(c_13657,plain,
addition(multiplication(sK1,sK0(sK1)),c(sK1)) = sK0(sK1),
inference(superposition,[status(thm)],[c_5962,c_3166]) ).
cnf(c_13674,plain,
addition(c(sK1),multiplication(sK1,sK0(sK1))) = sK0(sK1),
inference(theory_normalisation,[status(thm)],[c_13657,c_50,c_49]) ).
cnf(c_13675,plain,
addition(c(sK1),zero) = sK0(sK1),
inference(light_normalisation,[status(thm)],[c_13674,c_5473]) ).
cnf(c_13676,plain,
addition(zero,c(sK1)) = sK0(sK1),
inference(theory_normalisation,[status(thm)],[c_13675,c_50,c_49]) ).
cnf(c_13737,plain,
addition(sK1,addition(addition(zero,c(sK1)),X0)) = addition(one,X0),
inference(demodulation,[status(thm)],[c_770,c_13676]) ).
cnf(c_13747,plain,
addition(zero,addition(X0,addition(sK1,c(sK1)))) = addition(one,X0),
inference(theory_normalisation,[status(thm)],[c_13737,c_50,c_49]) ).
cnf(c_13748,plain,
addition(zero,addition(X0,one)) = addition(one,X0),
inference(light_normalisation,[status(thm)],[c_13747,c_3112]) ).
cnf(c_14012,plain,
addition(multiplication(sK2,X0),addition(multiplication(c(sK2),X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_3206,c_50]) ).
cnf(c_14177,plain,
addition(multiplication(c(sK1),sK2),multiplication(c(sK2),c(sK1))) = c(sK1),
inference(superposition,[status(thm)],[c_2559,c_3207]) ).
cnf(c_14199,plain,
addition(multiplication(c(sK2),c(sK1)),multiplication(c(sK1),sK2)) = c(sK1),
inference(theory_normalisation,[status(thm)],[c_14177,c_50,c_49]) ).
cnf(c_16751,plain,
addition(X0,addition(X1,multiplication(X0,sK2))) = addition(X0,X1),
inference(superposition,[status(thm)],[c_49,c_1615]) ).
cnf(c_28241,plain,
addition(c(sK1),multiplication(sK1,sK2)) = addition(c(sK1),sK2),
inference(superposition,[status(thm)],[c_3166,c_16751]) ).
cnf(c_28362,plain,
addition(multiplication(sK1,sK2),c(sK1)) = addition(sK2,c(sK1)),
inference(theory_normalisation,[status(thm)],[c_28241,c_50,c_49]) ).
cnf(c_37153,plain,
addition(sK1,addition(X0,c(sK1))) = addition(zero,addition(X0,one)),
inference(superposition,[status(thm)],[c_677,c_4628]) ).
cnf(c_47061,plain,
addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(sK2,c(sK1)))) != one,
inference(light_normalisation,[status(thm)],[c_2561,c_14199,c_28362]) ).
cnf(c_47062,plain,
one != one,
inference(demodulation,[status(thm)],[c_47061,c_973,c_13748,c_14012,c_37153]) ).
cnf(c_47063,plain,
$false,
inference(equality_resolution_simp,[status(thm)],[c_47062]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KLE010+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.16/0.34 % Computer : n008.cluster.edu
% 0.16/0.34 % Model : x86_64 x86_64
% 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.34 % Memory : 8042.1875MB
% 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.34 % CPULimit : 300
% 0.16/0.34 % WCLimit : 300
% 0.16/0.34 % DateTime : Tue Aug 29 12:35:02 EDT 2023
% 0.16/0.34 % CPUTime :
% 0.19/0.49 Running first-order theorem proving
% 0.19/0.49 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 17.02/3.21 % SZS status Started for theBenchmark.p
% 17.02/3.21 % SZS status Theorem for theBenchmark.p
% 17.02/3.21
% 17.02/3.21 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 17.02/3.21
% 17.02/3.21 ------ iProver source info
% 17.02/3.21
% 17.02/3.21 git: date: 2023-05-31 18:12:56 +0000
% 17.02/3.21 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 17.02/3.21 git: non_committed_changes: false
% 17.02/3.21 git: last_make_outside_of_git: false
% 17.02/3.21
% 17.02/3.21 ------ Parsing...
% 17.02/3.21 ------ Clausification by vclausify_rel & Parsing by iProver...
% 17.02/3.21
% 17.02/3.21 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 17.02/3.21
% 17.02/3.21 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 17.02/3.21
% 17.02/3.21 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 17.02/3.21 ------ Proving...
% 17.02/3.21 ------ Problem Properties
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21 clauses 25
% 17.02/3.21 conjectures 2
% 17.02/3.21 EPR 3
% 17.02/3.21 Horn 24
% 17.02/3.21 unary 14
% 17.02/3.21 binary 7
% 17.02/3.21 lits 41
% 17.02/3.21 lits eq 22
% 17.02/3.21 fd_pure 0
% 17.02/3.21 fd_pseudo 0
% 17.02/3.21 fd_cond 0
% 17.02/3.21 fd_pseudo_cond 1
% 17.02/3.21 AC symbols 1
% 17.02/3.21
% 17.02/3.21 ------ Schedule dynamic 5 is on
% 17.02/3.21
% 17.02/3.21 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21 ------
% 17.02/3.21 Current options:
% 17.02/3.21 ------
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21 ------ Proving...
% 17.02/3.21
% 17.02/3.21
% 17.02/3.21 % SZS status Theorem for theBenchmark.p
% 17.02/3.21
% 17.02/3.21 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 17.02/3.21
% 17.02/3.21
%------------------------------------------------------------------------------