TSTP Solution File: KLE034+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : KLE034+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n004.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 05:31:50 EDT 2023
% Result : Theorem 149.70s 20.75s
% Output : CNFRefutation 149.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 17
% Syntax : Number of formulae : 139 ( 91 unt; 0 def)
% Number of atoms : 255 ( 129 equ)
% Maximal formula atoms : 12 ( 1 avg)
% Number of connectives : 180 ( 64 ~; 49 |; 52 &)
% ( 8 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 193 ( 4 sgn; 97 !; 20 ?)
% 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(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(f10,axiom,
! [X0] : zero = multiplication(X0,zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',right_annihilation) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
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(f19,conjecture,
! [X3,X4,X5,X6,X7] :
( ( leq(multiplication(multiplication(X6,X4),c(X7)),zero)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& test(X7)
& test(X5)
& test(X6) )
=> leq(multiplication(multiplication(multiplication(X5,X3),X4),c(X7)),zero) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f20,negated_conjecture,
~ ! [X3,X4,X5,X6,X7] :
( ( leq(multiplication(multiplication(X6,X4),c(X7)),zero)
& leq(multiplication(multiplication(X5,X3),c(X6)),zero)
& test(X7)
& test(X5)
& test(X6) )
=> leq(multiplication(multiplication(multiplication(X5,X3),X4),c(X7)),zero) ),
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(f28,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) )
=> leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero) ),
inference(rectify,[],[f20]) ).
fof(f29,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f35,plain,
? [X0,X1,X2,X3,X4] :
( ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) ),
inference(ennf_transformation,[],[f28]) ).
fof(f36,plain,
? [X0,X1,X2,X3,X4] :
( ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) ),
inference(flattening,[],[f35]) ).
fof(f37,plain,
! [X0,X1] :
( ( leq(X0,X1)
| addition(X0,X1) != X1 )
& ( addition(X0,X1) = X1
| ~ leq(X0,X1) ) ),
inference(nnf_transformation,[],[f12]) ).
fof(f38,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f22]) ).
fof(f39,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f38]) ).
fof(f40,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK0(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f41,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK0(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f39,f40]) ).
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(nnf_transformation,[],[f23]) ).
fof(f43,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,[],[f42]) ).
fof(f44,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f45,plain,
( ? [X0,X1,X2,X3,X4] :
( ~ leq(multiplication(multiplication(multiplication(X2,X0),X1),c(X4)),zero)
& leq(multiplication(multiplication(X3,X1),c(X4)),zero)
& leq(multiplication(multiplication(X2,X0),c(X3)),zero)
& test(X4)
& test(X2)
& test(X3) )
=> ( ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero)
& leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero)
& leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero)
& test(sK5)
& test(sK3)
& test(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f46,plain,
( ~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero)
& leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero)
& leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero)
& test(sK5)
& test(sK3)
& test(sK4) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4,sK5])],[f36,f45]) ).
fof(f47,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f48,plain,
! [X2,X0,X1] : addition(X2,addition(X1,X0)) = addition(addition(X2,X1),X0),
inference(cnf_transformation,[],[f21]) ).
fof(f49,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f51,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f53,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f54,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
fof(f55,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
fof(f56,plain,
! [X0] : zero = multiplication(X0,zero),
inference(cnf_transformation,[],[f10]) ).
fof(f57,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f58,plain,
! [X0,X1] :
( addition(X0,X1) = X1
| ~ leq(X0,X1) ),
inference(cnf_transformation,[],[f37]) ).
fof(f59,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f60,plain,
! [X0] :
( complement(sK0(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f41]) ).
fof(f63,plain,
! [X0,X1] :
( zero = multiplication(X1,X0)
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f64,plain,
! [X0,X1] :
( addition(X0,X1) = one
| ~ complement(X1,X0) ),
inference(cnf_transformation,[],[f43]) ).
fof(f66,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f71,plain,
test(sK4),
inference(cnf_transformation,[],[f46]) ).
fof(f73,plain,
test(sK5),
inference(cnf_transformation,[],[f46]) ).
fof(f74,plain,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f46]) ).
fof(f75,plain,
leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f46]) ).
fof(f76,plain,
~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f46]) ).
fof(f77,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f66]) ).
cnf(c_49,plain,
addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f47]) ).
cnf(c_50,plain,
addition(addition(X0,X1),X2) = addition(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f48]) ).
cnf(c_51,plain,
addition(X0,zero) = X0,
inference(cnf_transformation,[],[f49]) ).
cnf(c_53,plain,
multiplication(multiplication(X0,X1),X2) = multiplication(X0,multiplication(X1,X2)),
inference(cnf_transformation,[],[f51]) ).
cnf(c_54,plain,
multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f52]) ).
cnf(c_55,plain,
multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f53]) ).
cnf(c_56,plain,
addition(multiplication(X0,X1),multiplication(X0,X2)) = multiplication(X0,addition(X1,X2)),
inference(cnf_transformation,[],[f54]) ).
cnf(c_57,plain,
addition(multiplication(X0,X1),multiplication(X2,X1)) = multiplication(addition(X0,X2),X1),
inference(cnf_transformation,[],[f55]) ).
cnf(c_58,plain,
multiplication(X0,zero) = zero,
inference(cnf_transformation,[],[f56]) ).
cnf(c_59,plain,
multiplication(zero,X0) = zero,
inference(cnf_transformation,[],[f57]) ).
cnf(c_60,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f59]) ).
cnf(c_61,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(cnf_transformation,[],[f58]) ).
cnf(c_63,plain,
( ~ test(X0)
| complement(sK0(X0),X0) ),
inference(cnf_transformation,[],[f60]) ).
cnf(c_65,plain,
( ~ complement(X0,X1)
| addition(X1,X0) = one ),
inference(cnf_transformation,[],[f64]) ).
cnf(c_66,plain,
( ~ complement(X0,X1)
| multiplication(X0,X1) = zero ),
inference(cnf_transformation,[],[f63]) ).
cnf(c_69,plain,
( ~ test(X0)
| complement(X0,c(X0)) ),
inference(cnf_transformation,[],[f77]) ).
cnf(c_73,negated_conjecture,
~ leq(multiplication(multiplication(multiplication(sK3,sK1),sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f76]) ).
cnf(c_74,negated_conjecture,
leq(multiplication(multiplication(sK4,sK2),c(sK5)),zero),
inference(cnf_transformation,[],[f75]) ).
cnf(c_75,negated_conjecture,
leq(multiplication(multiplication(sK3,sK1),c(sK4)),zero),
inference(cnf_transformation,[],[f74]) ).
cnf(c_76,negated_conjecture,
test(sK5),
inference(cnf_transformation,[],[f73]) ).
cnf(c_78,negated_conjecture,
test(sK4),
inference(cnf_transformation,[],[f71]) ).
cnf(c_98,plain,
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(prop_impl_just,[status(thm)],[c_60]) ).
cnf(c_99,plain,
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(renaming,[status(thm)],[c_98]) ).
cnf(c_100,plain,
( ~ leq(X0,X1)
| addition(X0,X1) = X1 ),
inference(prop_impl_just,[status(thm)],[c_61]) ).
cnf(c_307,plain,
~ leq(multiplication(multiplication(sK3,multiplication(sK1,sK2)),c(sK5)),zero),
inference(demodulation,[status(thm)],[c_73,c_53]) ).
cnf(c_308,plain,
leq(multiplication(sK3,multiplication(sK1,c(sK4))),zero),
inference(demodulation,[status(thm)],[c_75,c_53]) ).
cnf(c_309,plain,
leq(multiplication(sK4,multiplication(sK2,c(sK5))),zero),
inference(demodulation,[status(thm)],[c_74,c_53]) ).
cnf(c_310,plain,
~ leq(multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))),zero),
inference(demodulation,[status(thm)],[c_307,c_53]) ).
cnf(c_342,plain,
( multiplication(sK3,multiplication(sK1,c(sK4))) != X0
| X1 != zero
| addition(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_100,c_308]) ).
cnf(c_343,plain,
addition(multiplication(sK3,multiplication(sK1,c(sK4))),zero) = zero,
inference(unflattening,[status(thm)],[c_342]) ).
cnf(c_347,plain,
( multiplication(sK4,multiplication(sK2,c(sK5))) != X0
| X1 != zero
| addition(X0,X1) = X1 ),
inference(resolution_lifted,[status(thm)],[c_100,c_309]) ).
cnf(c_348,plain,
addition(multiplication(sK4,multiplication(sK2,c(sK5))),zero) = zero,
inference(unflattening,[status(thm)],[c_347]) ).
cnf(c_352,plain,
( multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))) != X0
| addition(X0,X1) != X1
| X1 != zero ),
inference(resolution_lifted,[status(thm)],[c_99,c_310]) ).
cnf(c_353,plain,
addition(multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))),zero) != zero,
inference(unflattening,[status(thm)],[c_352]) ).
cnf(c_1438,plain,
( ~ test(X0)
| addition(X0,sK0(X0)) = one ),
inference(superposition,[status(thm)],[c_63,c_65]) ).
cnf(c_1748,plain,
addition(sK4,sK0(sK4)) = one,
inference(superposition,[status(thm)],[c_78,c_1438]) ).
cnf(c_9577,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_9624,plain,
( ~ test(X0)
| addition(c(X0),X0) = one ),
inference(superposition,[status(thm)],[c_69,c_65]) ).
cnf(c_9626,plain,
( ~ test(X0)
| addition(X0,c(X0)) = one ),
inference(theory_normalisation,[status(thm)],[c_9624,c_50,c_49]) ).
cnf(c_9635,plain,
( ~ test(X0)
| multiplication(sK0(X0),X0) = zero ),
inference(superposition,[status(thm)],[c_63,c_66]) ).
cnf(c_9636,plain,
( ~ test(X0)
| multiplication(X0,c(X0)) = zero ),
inference(superposition,[status(thm)],[c_69,c_66]) ).
cnf(c_9660,plain,
addition(sK4,c(sK4)) = one,
inference(superposition,[status(thm)],[c_78,c_9626]) ).
cnf(c_9764,plain,
multiplication(sK0(sK4),sK4) = zero,
inference(superposition,[status(thm)],[c_78,c_9635]) ).
cnf(c_9778,plain,
multiplication(sK4,c(sK4)) = zero,
inference(superposition,[status(thm)],[c_78,c_9636]) ).
cnf(c_9806,plain,
addition(multiplication(X0,sK4),multiplication(X0,c(sK4))) = multiplication(X0,one),
inference(superposition,[status(thm)],[c_9660,c_56]) ).
cnf(c_9807,plain,
addition(multiplication(X0,sK4),multiplication(X0,c(sK4))) = X0,
inference(light_normalisation,[status(thm)],[c_9806,c_54]) ).
cnf(c_9829,plain,
addition(multiplication(sK4,X0),multiplication(sK0(sK4),X0)) = multiplication(one,X0),
inference(superposition,[status(thm)],[c_1748,c_57]) ).
cnf(c_9856,plain,
addition(multiplication(sK4,X0),multiplication(sK0(sK4),X0)) = X0,
inference(light_normalisation,[status(thm)],[c_9829,c_55]) ).
cnf(c_10483,plain,
addition(zero,multiplication(sK0(sK4),c(sK4))) = c(sK4),
inference(superposition,[status(thm)],[c_9778,c_9856]) ).
cnf(c_13722,plain,
multiplication(sK0(sK4),c(sK4)) = c(sK4),
inference(demodulation,[status(thm)],[c_10483,c_9577]) ).
cnf(c_24728,plain,
addition(multiplication(sK0(sK4),sK4),c(sK4)) = sK0(sK4),
inference(superposition,[status(thm)],[c_13722,c_9807]) ).
cnf(c_24738,plain,
addition(c(sK4),multiplication(sK0(sK4),sK4)) = sK0(sK4),
inference(theory_normalisation,[status(thm)],[c_24728,c_50,c_49]) ).
cnf(c_24739,plain,
addition(c(sK4),zero) = sK0(sK4),
inference(light_normalisation,[status(thm)],[c_24738,c_9764]) ).
cnf(c_24740,plain,
addition(zero,c(sK4)) = sK0(sK4),
inference(theory_normalisation,[status(thm)],[c_24739,c_50,c_49]) ).
cnf(c_380356,plain,
addition(zero,multiplication(sK3,multiplication(sK1,c(sK4)))) = zero,
inference(theory_normalisation,[status(thm)],[c_343,c_50,c_49]) ).
cnf(c_380627,plain,
addition(zero,X0) = X0,
inference(superposition,[status(thm)],[c_51,c_49]) ).
cnf(c_380631,plain,
multiplication(sK3,multiplication(sK1,c(sK4))) = zero,
inference(demodulation,[status(thm)],[c_380356,c_380627]) ).
cnf(c_381055,plain,
addition(zero,multiplication(sK4,multiplication(sK2,c(sK5)))) = zero,
inference(theory_normalisation,[status(thm)],[c_348,c_50,c_49]) ).
cnf(c_381056,plain,
multiplication(sK4,multiplication(sK2,c(sK5))) = zero,
inference(demodulation,[status(thm)],[c_381055,c_380627]) ).
cnf(c_381297,plain,
sK0(sK4) = c(sK4),
inference(demodulation,[status(thm)],[c_24740,c_380627]) ).
cnf(c_381301,plain,
addition(sK4,c(sK4)) = one,
inference(demodulation,[status(thm)],[c_1748,c_381297]) ).
cnf(c_381530,plain,
addition(zero,multiplication(X0,X1)) = multiplication(X0,addition(zero,X1)),
inference(superposition,[status(thm)],[c_58,c_56]) ).
cnf(c_381624,plain,
( ~ test(X0)
| multiplication(X0,c(X0)) = zero ),
inference(superposition,[status(thm)],[c_69,c_66]) ).
cnf(c_382350,plain,
addition(multiplication(X0,multiplication(X1,X2)),multiplication(X3,X2)) = multiplication(addition(multiplication(X0,X1),X3),X2),
inference(superposition,[status(thm)],[c_53,c_57]) ).
cnf(c_382355,plain,
addition(zero,multiplication(X0,multiplication(sK2,c(sK5)))) = multiplication(addition(sK4,X0),multiplication(sK2,c(sK5))),
inference(superposition,[status(thm)],[c_381056,c_57]) ).
cnf(c_382364,plain,
addition(multiplication(X0,X1),zero) = multiplication(addition(X0,zero),X1),
inference(superposition,[status(thm)],[c_59,c_57]) ).
cnf(c_382378,plain,
addition(zero,multiplication(X0,X1)) = multiplication(addition(X0,zero),X1),
inference(theory_normalisation,[status(thm)],[c_382364,c_50,c_49]) ).
cnf(c_382379,plain,
multiplication(X0,addition(zero,X1)) = multiplication(X0,X1),
inference(light_normalisation,[status(thm)],[c_382378,c_51,c_381530]) ).
cnf(c_384138,plain,
addition(zero,multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5))))) != zero,
inference(theory_normalisation,[status(thm)],[c_353,c_50,c_49]) ).
cnf(c_384139,plain,
multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))) != zero,
inference(demodulation,[status(thm)],[c_384138,c_381530,c_382379]) ).
cnf(c_384278,plain,
multiplication(sK3,multiplication(multiplication(sK1,c(sK4)),X0)) = multiplication(zero,X0),
inference(superposition,[status(thm)],[c_380631,c_53]) ).
cnf(c_384281,plain,
multiplication(sK3,multiplication(multiplication(sK1,c(sK4)),X0)) = zero,
inference(light_normalisation,[status(thm)],[c_384278,c_59]) ).
cnf(c_389081,plain,
multiplication(sK5,c(sK5)) = zero,
inference(superposition,[status(thm)],[c_76,c_381624]) ).
cnf(c_389140,plain,
addition(zero,multiplication(X0,c(sK5))) = multiplication(addition(sK5,X0),c(sK5)),
inference(superposition,[status(thm)],[c_389081,c_57]) ).
cnf(c_389865,plain,
multiplication(addition(sK5,X0),c(sK5)) = multiplication(X0,c(sK5)),
inference(demodulation,[status(thm)],[c_389140,c_381530,c_382379]) ).
cnf(c_396660,plain,
multiplication(sK3,multiplication(sK1,multiplication(c(sK4),X0))) = zero,
inference(demodulation,[status(thm)],[c_384281,c_53]) ).
cnf(c_464427,plain,
addition(multiplication(X0,multiplication(X1,c(sK5))),zero) = multiplication(addition(multiplication(X0,X1),sK5),c(sK5)),
inference(superposition,[status(thm)],[c_389081,c_382350]) ).
cnf(c_464624,plain,
addition(zero,multiplication(X0,multiplication(X1,c(sK5)))) = multiplication(addition(sK5,multiplication(X0,X1)),c(sK5)),
inference(theory_normalisation,[status(thm)],[c_464427,c_50,c_49]) ).
cnf(c_484064,plain,
multiplication(addition(sK4,X0),multiplication(sK2,c(sK5))) = multiplication(X0,multiplication(sK2,c(sK5))),
inference(demodulation,[status(thm)],[c_382355,c_53,c_389865,c_464624]) ).
cnf(c_484072,plain,
multiplication(c(sK4),multiplication(sK2,c(sK5))) = multiplication(one,multiplication(sK2,c(sK5))),
inference(superposition,[status(thm)],[c_381301,c_484064]) ).
cnf(c_632599,plain,
multiplication(c(sK4),multiplication(sK2,c(sK5))) = multiplication(sK2,c(sK5)),
inference(demodulation,[status(thm)],[c_484072,c_55]) ).
cnf(c_632621,plain,
multiplication(sK3,multiplication(sK1,multiplication(sK2,c(sK5)))) = zero,
inference(superposition,[status(thm)],[c_632599,c_396660]) ).
cnf(c_632627,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_632621,c_384139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : KLE034+2 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n004.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 11:41:52 EDT 2023
% 0.14/0.35 % 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
% 149.70/20.75 % SZS status Started for theBenchmark.p
% 149.70/20.75 % SZS status Theorem for theBenchmark.p
% 149.70/20.75
% 149.70/20.75 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 149.70/20.75
% 149.70/20.75 ------ iProver source info
% 149.70/20.75
% 149.70/20.75 git: date: 2023-05-31 18:12:56 +0000
% 149.70/20.75 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 149.70/20.75 git: non_committed_changes: false
% 149.70/20.75 git: last_make_outside_of_git: false
% 149.70/20.75
% 149.70/20.75 ------ Parsing...
% 149.70/20.75 ------ Clausification by vclausify_rel & Parsing by iProver...
% 149.70/20.75
% 149.70/20.75 ------ Preprocessing... sup_sim: 4 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe_e
% 149.70/20.75
% 149.70/20.75 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 149.70/20.75
% 149.70/20.75 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 149.70/20.75 ------ Proving...
% 149.70/20.75 ------ Problem Properties
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 clauses 30
% 149.70/20.75 conjectures 3
% 149.70/20.75 EPR 4
% 149.70/20.75 Horn 29
% 149.70/20.75 unary 17
% 149.70/20.75 binary 9
% 149.70/20.75 lits 48
% 149.70/20.75 lits eq 28
% 149.70/20.75 fd_pure 0
% 149.70/20.75 fd_pseudo 0
% 149.70/20.75 fd_cond 0
% 149.70/20.75 fd_pseudo_cond 1
% 149.70/20.75 AC symbols 1
% 149.70/20.75
% 149.70/20.75 ------ Schedule dynamic 5 is on
% 149.70/20.75
% 149.70/20.75 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 ------
% 149.70/20.75 Current options:
% 149.70/20.75 ------
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 ------ Proving...
% 149.70/20.75 Proof_search_loop: time out after: 16694 full_loop iterations
% 149.70/20.75
% 149.70/20.75 ------ Input Options"--res_lit_sel adaptive --res_lit_sel_side num_symb" Time Limit: 15.
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 ------
% 149.70/20.75 Current options:
% 149.70/20.75 ------
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 ------ Proving...
% 149.70/20.75
% 149.70/20.75
% 149.70/20.75 % SZS status Theorem for theBenchmark.p
% 149.70/20.75
% 149.70/20.75 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 149.70/20.75
% 149.70/20.76
%------------------------------------------------------------------------------