TSTP Solution File: KLE010+2 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE010+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n024.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 3.46s 1.18s
% Output : CNFRefutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 26
% Number of leaves : 12
% Syntax : Number of formulae : 97 ( 60 unt; 0 def)
% Number of atoms : 175 ( 82 equ)
% Maximal formula atoms : 8 ( 1 avg)
% Number of connectives : 136 ( 58 ~; 38 |; 27 &)
% ( 6 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 110 ( 0 sgn; 66 !; 6 ?)
% 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(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
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(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
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) )
=> ( leq(addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)
& leq(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) )
=> ( leq(addition(addition(addition(addition(multiplication(X4,X3),multiplication(c(X4),X3)),multiplication(X3,X4)),multiplication(c(X3),X4)),multiplication(c(X3),c(X4))),one)
& leq(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(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) )
=> ( leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
& leq(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] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f26,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f25]) ).
fof(f27,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f29,plain,
? [X0,X1] :
( ( ~ leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
| ~ leq(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(f30,plain,
? [X0,X1] :
( ( ~ leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
| ~ leq(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,[],[f29]) ).
fof(f35,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(f36,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,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f27]) ).
fof(f38,plain,
( ? [X0,X1] :
( ( ~ leq(addition(addition(addition(addition(multiplication(X1,X0),multiplication(c(X1),X0)),multiplication(X0,X1)),multiplication(c(X0),X1)),multiplication(c(X0),c(X1))),one)
| ~ leq(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) )
=> ( ( ~ leq(addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(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(f39,plain,
( ( ~ leq(addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(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])],[f30,f38]) ).
fof(f40,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f19]) ).
fof(f43,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f45,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f46,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f47,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f48,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f51,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f26]) ).
fof(f56,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f58,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f61,plain,
test(sK2),
inference(cnf_transformation,[],[f39]) ).
fof(f62,plain,
test(sK1),
inference(cnf_transformation,[],[f39]) ).
fof(f63,plain,
( ~ leq(addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(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,[],[f39]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f58]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f40]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f41]) ).
cnf(c_52,plain,
addition(X0,X0) = X0,
inference(cnf_transformation,[],[f43]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f45]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f46]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f47]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f48]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f51]) ).
cnf(c_64,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f56]) ).
cnf(c_68,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_70,negated_conjecture,
( ~ leq(addition(addition(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),multiplication(sK1,sK2)),multiplication(c(sK1),sK2)),multiplication(c(sK1),c(sK2))),one)
| ~ leq(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,[],[f63]) ).
cnf(c_71,negated_conjecture,
test(sK1),
inference(cnf_transformation,[],[f62]) ).
cnf(c_72,negated_conjecture,
test(sK2),
inference(cnf_transformation,[],[f61]) ).
cnf(c_91,negated_conjecture,
( ~ leq(addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))),one)
| ~ leq(one,addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))))) ),
inference(theory_normalisation,[status(thm)],[c_70,c_50,c_49]) ).
cnf(c_212,plain,
( ~ leq(addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),multiplication(c(sK1),addition(c(sK2),sK2))))),one)
| ~ leq(one,addition(multiplication(sK2,sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK2),sK1),multiplication(c(sK1),addition(c(sK2),sK2)))))) ),
inference(ac_demodulation,[status(thm)],[c_91,c_56,c_56,c_50,c_49]) ).
cnf(c_213,plain,
( ~ leq(addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),addition(c(sK2),sK2)),multiplication(addition(c(sK2),sK2),sK1))),one)
| ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),addition(c(sK2),sK2)),multiplication(addition(c(sK2),sK2),sK1)))) ),
inference(ac_demodulation,[status(thm)],[c_212,c_57,c_57,c_50,c_49]) ).
cnf(c_214,plain,
( ~ leq(addition(multiplication(sK1,sK2),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(c(sK1),addition(sK2,c(sK2))))),one)
| ~ leq(one,addition(multiplication(sK1,sK2),addition(multiplication(addition(sK2,c(sK2)),sK1),multiplication(c(sK1),addition(sK2,c(sK2)))))) ),
inference(theory_normalisation,[status(thm)],[c_213,c_50,c_49]) ).
cnf(c_749,plain,
addition(X0,addition(X1,X2)) = addition(X1,addition(X0,X2)),
inference(superposition,[status(thm)],[c_50,c_49]) ).
cnf(c_752,plain,
( ~ leq(addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(sK1,sK2),multiplication(c(sK1),addition(sK2,c(sK2))))),one)
| ~ leq(one,addition(multiplication(addition(sK2,c(sK2)),sK1),addition(multiplication(sK1,sK2),multiplication(c(sK1),addition(sK2,c(sK2)))))) ),
inference(theory_normalisation,[status(thm)],[c_214,c_50,c_49]) ).
cnf(c_753,plain,
( ~ leq(addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))),one)
| ~ leq(one,addition(addition(multiplication(sK2,sK1),multiplication(c(sK2),sK1)),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))) ),
inference(demodulation,[status(thm)],[c_752,c_56,c_57]) ).
cnf(c_754,plain,
( ~ leq(addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2)))))),one)
| ~ leq(one,addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),addition(multiplication(c(sK1),sK2),multiplication(c(sK1),c(sK2))))))) ),
inference(theory_normalisation,[status(thm)],[c_753,c_50,c_49]) ).
cnf(c_775,plain,
complement(sK1,c(sK1)),
inference(superposition,[status(thm)],[c_71,c_68]) ).
cnf(c_776,plain,
complement(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_72,c_68]) ).
cnf(c_814,plain,
leq(X0,X0),
inference(superposition,[status(thm)],[c_52,c_60]) ).
cnf(c_829,plain,
addition(c(sK1),sK1) = one,
inference(superposition,[status(thm)],[c_775,c_64]) ).
cnf(c_830,plain,
addition(c(sK2),sK2) = one,
inference(superposition,[status(thm)],[c_776,c_64]) ).
cnf(c_835,plain,
addition(sK2,c(sK2)) = one,
inference(theory_normalisation,[status(thm)],[c_830,c_50,c_49]) ).
cnf(c_836,plain,
addition(sK1,c(sK1)) = one,
inference(theory_normalisation,[status(thm)],[c_829,c_50,c_49]) ).
cnf(c_880,plain,
addition(sK2,addition(c(sK2),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_835,c_50]) ).
cnf(c_885,plain,
addition(sK1,addition(c(sK1),X0)) = addition(one,X0),
inference(superposition,[status(thm)],[c_836,c_50]) ).
cnf(c_903,plain,
addition(sK2,addition(X0,c(sK2))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_880]) ).
cnf(c_906,plain,
addition(one,c(sK2)) = addition(sK2,c(sK2)),
inference(superposition,[status(thm)],[c_52,c_880]) ).
cnf(c_911,plain,
addition(one,c(sK2)) = one,
inference(light_normalisation,[status(thm)],[c_906,c_835]) ).
cnf(c_999,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_835,c_56]) ).
cnf(c_1015,plain,
addition(multiplication(X0,sK2),multiplication(X0,c(sK2))) = X0,
inference(light_normalisation,[status(thm)],[c_999,c_54]) ).
cnf(c_1018,plain,
( ~ leq(addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),c(sK1)))),one)
| ~ leq(one,addition(multiplication(sK2,sK1),addition(multiplication(c(sK2),sK1),addition(multiplication(sK1,sK2),c(sK1))))) ),
inference(demodulation,[status(thm)],[c_754,c_1015]) ).
cnf(c_1069,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_835,c_57]) ).
cnf(c_1070,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_836,c_57]) ).
cnf(c_1083,plain,
addition(multiplication(sK1,X0),multiplication(c(sK1),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1070,c_55]) ).
cnf(c_1084,plain,
addition(multiplication(sK2,X0),multiplication(c(sK2),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_1069,c_55]) ).
cnf(c_1201,plain,
addition(sK1,addition(X0,c(sK1))) = addition(one,X0),
inference(superposition,[status(thm)],[c_49,c_885]) ).
cnf(c_1390,plain,
addition(one,one) = addition(sK2,one),
inference(superposition,[status(thm)],[c_911,c_903]) ).
cnf(c_1396,plain,
addition(one,one) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_1390,c_50,c_49]) ).
cnf(c_1700,plain,
addition(multiplication(sK2,X0),addition(multiplication(c(sK2),X0),X1)) = addition(X0,X1),
inference(superposition,[status(thm)],[c_1084,c_50]) ).
cnf(c_1719,plain,
( ~ leq(addition(sK1,addition(multiplication(sK1,sK2),c(sK1))),one)
| ~ leq(one,addition(sK1,addition(multiplication(sK1,sK2),c(sK1)))) ),
inference(demodulation,[status(thm)],[c_1018,c_1700]) ).
cnf(c_1854,plain,
( ~ leq(addition(one,multiplication(sK1,sK2)),one)
| ~ leq(one,addition(one,multiplication(sK1,sK2))) ),
inference(demodulation,[status(thm)],[c_1719,c_1201]) ).
cnf(c_2061,plain,
addition(one,sK2) = one,
inference(demodulation,[status(thm)],[c_1396,c_52]) ).
cnf(c_2066,plain,
addition(multiplication(X0,one),multiplication(X0,sK2)) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_2061,c_56]) ).
cnf(c_2072,plain,
addition(X0,multiplication(X0,sK2)) = X0,
inference(light_normalisation,[status(thm)],[c_2066,c_54]) ).
cnf(c_2584,plain,
addition(one,multiplication(c(sK1),sK2)) = addition(sK1,c(sK1)),
inference(superposition,[status(thm)],[c_2072,c_885]) ).
cnf(c_2586,plain,
addition(one,multiplication(c(sK1),sK2)) = one,
inference(light_normalisation,[status(thm)],[c_2584,c_836]) ).
cnf(c_2732,plain,
addition(one,addition(X0,multiplication(c(sK1),sK2))) = addition(X0,one),
inference(superposition,[status(thm)],[c_2586,c_749]) ).
cnf(c_3853,plain,
addition(multiplication(sK1,sK2),one) = addition(one,sK2),
inference(superposition,[status(thm)],[c_1083,c_2732]) ).
cnf(c_3870,plain,
addition(one,multiplication(sK1,sK2)) = addition(one,sK2),
inference(theory_normalisation,[status(thm)],[c_3853,c_50,c_49]) ).
cnf(c_3871,plain,
addition(one,multiplication(sK1,sK2)) = one,
inference(light_normalisation,[status(thm)],[c_3870,c_2061]) ).
cnf(c_3900,plain,
~ leq(one,one),
inference(demodulation,[status(thm)],[c_1854,c_3871]) ).
cnf(c_3901,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_3900,c_814]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE010+2 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Aug 29 12:22:23 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 3.46/1.18 % SZS status Started for theBenchmark.p
% 3.46/1.18 % SZS status Theorem for theBenchmark.p
% 3.46/1.18
% 3.46/1.18 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.46/1.18
% 3.46/1.18 ------ iProver source info
% 3.46/1.18
% 3.46/1.18 git: date: 2023-05-31 18:12:56 +0000
% 3.46/1.18 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.46/1.18 git: non_committed_changes: false
% 3.46/1.18 git: last_make_outside_of_git: false
% 3.46/1.18
% 3.46/1.18 ------ Parsing...
% 3.46/1.18 ------ Clausification by vclausify_rel & Parsing by iProver...
% 3.46/1.18
% 3.46/1.18 ------ Preprocessing... sup_sim: 1 sf_s rm: 1 0s sf_e pe_s pe_e
% 3.46/1.18
% 3.46/1.18 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 3.46/1.18
% 3.46/1.18 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 3.46/1.18 ------ Proving...
% 3.46/1.18 ------ Problem Properties
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18 clauses 24
% 3.46/1.18 conjectures 2
% 3.46/1.18 EPR 3
% 3.46/1.18 Horn 23
% 3.46/1.18 unary 13
% 3.46/1.18 binary 9
% 3.46/1.18 lits 38
% 3.46/1.18 lits eq 20
% 3.46/1.18 fd_pure 0
% 3.46/1.18 fd_pseudo 0
% 3.46/1.18 fd_cond 0
% 3.46/1.18 fd_pseudo_cond 1
% 3.46/1.18 AC symbols 1
% 3.46/1.18
% 3.46/1.18 ------ Schedule dynamic 5 is on
% 3.46/1.18
% 3.46/1.18 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18 ------
% 3.46/1.18 Current options:
% 3.46/1.18 ------
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18 ------ Proving...
% 3.46/1.18
% 3.46/1.18
% 3.46/1.18 % SZS status Theorem for theBenchmark.p
% 3.46/1.18
% 3.46/1.18 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.46/1.18
% 3.46/1.18
%------------------------------------------------------------------------------