TSTP Solution File: KLE027+2 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE027+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n031.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 : Tue Apr 30 13:11:43 EDT 2024
% Result : Theorem 0.18s 0.40s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 15
% Syntax : Number of formulae : 92 ( 37 unt; 0 def)
% Number of atoms : 202 ( 85 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 191 ( 81 ~; 64 |; 30 &)
% ( 8 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 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 : 129 ( 109 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1127,plain,
$false,
inference(resolution,[],[f1079,f86]) ).
fof(f86,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f81]) ).
fof(f81,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f59,f48]) ).
fof(f48,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f59,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f30]) ).
fof(f30,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,plain,
! [X0,X1] :
( addition(X0,X1) = X1
=> leq(X0,X1) ),
inference(unused_predicate_definition_removal,[],[f12]) ).
fof(f12,axiom,
! [X0,X1] :
( leq(X0,X1)
<=> addition(X0,X1) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',order) ).
fof(f1079,plain,
~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))),
inference(duplicate_literal_removal,[],[f1078]) ).
fof(f1078,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) ),
inference(forward_demodulation,[],[f1077,f52]) ).
fof(f52,plain,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0,X1] : addition(X0,X1) = addition(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f1077,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,sK0)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) ),
inference(forward_demodulation,[],[f1076,f1072]) ).
fof(f1072,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,multiplication(sK3,X0)),
inference(superposition,[],[f61,f1061]) ).
fof(f1061,plain,
sK3 = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f1056,f47]) ).
fof(f47,plain,
! [X0] : multiplication(one,X0) = X0,
inference(cnf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] : multiplication(one,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiplicative_left_identity) ).
fof(f1056,plain,
multiplication(sK3,sK3) = multiplication(one,sK3),
inference(superposition,[],[f536,f944]) ).
fof(f944,plain,
one = addition(sK3,c(sK3)),
inference(backward_demodulation,[],[f883,f895]) ).
fof(f895,plain,
c(sK3) = sK5(sK3),
inference(resolution,[],[f889,f87]) ).
fof(f87,plain,
! [X0] :
( ~ complement(sK3,X0)
| c(sK3) = X0 ),
inference(resolution,[],[f54,f40]) ).
fof(f40,plain,
test(sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f32,plain,
( ( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) )
& test(sK4)
& test(sK3) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4])],[f27,f31]) ).
fof(f31,plain,
( ? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) )
& test(X4)
& test(X3) )
=> ( ( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) )
& test(sK4)
& test(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f27,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) )
& test(X4)
& test(X3) ),
inference(flattening,[],[f26]) ).
fof(f26,plain,
? [X0,X1,X2,X3,X4] :
( ( ~ leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
| ~ leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) )
& test(X4)
& test(X3) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,plain,
~ ! [X0,X1,X2,X3,X4] :
( ( test(X4)
& test(X3) )
=> ( leq(addition(multiplication(X3,X0),multiplication(c(X3),X2)),addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)))
& leq(addition(multiplication(X3,addition(multiplication(X3,X0),multiplication(c(X3),X1))),multiplication(c(X3),X2)),addition(multiplication(X3,X0),multiplication(c(X3),X2))) ) ),
inference(rectify,[],[f18]) ).
fof(f18,negated_conjecture,
~ ! [X3,X4,X5,X6,X7] :
( ( test(X7)
& test(X6) )
=> ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
& leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
inference(negated_conjecture,[],[f17]) ).
fof(f17,conjecture,
! [X3,X4,X5,X6,X7] :
( ( test(X7)
& test(X6) )
=> ( leq(addition(multiplication(X6,X3),multiplication(c(X6),X5)),addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)))
& leq(addition(multiplication(X6,addition(multiplication(X6,X3),multiplication(c(X6),X4))),multiplication(c(X6),X5)),addition(multiplication(X6,X3),multiplication(c(X6),X5))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
fof(f54,plain,
! [X0,X1] :
( ~ test(X0)
| ~ complement(X0,X1)
| c(X0) = X1 ),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,plain,
! [X0,X1] :
( test(X0)
=> ( c(X0) = X1
<=> complement(X0,X1) ) ),
inference(rectify,[],[f15]) ).
fof(f15,axiom,
! [X3,X4] :
( test(X3)
=> ( c(X3) = X4
<=> complement(X3,X4) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_3) ).
fof(f889,plain,
complement(sK3,sK5(sK3)),
inference(trivial_inequality_removal,[],[f888]) ).
fof(f888,plain,
( one != one
| complement(sK3,sK5(sK3)) ),
inference(backward_demodulation,[],[f776,f883]) ).
fof(f776,plain,
( one != addition(sK3,sK5(sK3))
| complement(sK3,sK5(sK3)) ),
inference(trivial_inequality_removal,[],[f775]) ).
fof(f775,plain,
( zero != zero
| one != addition(sK3,sK5(sK3))
| complement(sK3,sK5(sK3)) ),
inference(forward_demodulation,[],[f774,f119]) ).
fof(f119,plain,
zero = multiplication(sK5(sK3),sK3),
inference(resolution,[],[f75,f40]) ).
fof(f75,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(sK5(X0),X0) ),
inference(resolution,[],[f56,f50]) ).
fof(f50,plain,
! [X0] :
( complement(sK5(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f36]) ).
fof(f36,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK5(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f34,f35]) ).
fof(f35,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f34,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f33]) ).
fof(f33,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f21,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',test_1) ).
fof(f56,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f39]) ).
fof(f39,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,[],[f38]) ).
fof(f38,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(f23,plain,
! [X0,X1] :
( complement(X1,X0)
<=> ( addition(X0,X1) = one
& zero = multiplication(X1,X0)
& zero = multiplication(X0,X1) ) ),
inference(rectify,[],[f14]) ).
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(f774,plain,
( one != addition(sK3,sK5(sK3))
| complement(sK3,sK5(sK3))
| zero != multiplication(sK5(sK3),sK3) ),
inference(forward_demodulation,[],[f723,f52]) ).
fof(f723,plain,
( one != addition(sK5(sK3),sK3)
| complement(sK3,sK5(sK3))
| zero != multiplication(sK5(sK3),sK3) ),
inference(trivial_inequality_removal,[],[f702]) ).
fof(f702,plain,
( zero != zero
| one != addition(sK5(sK3),sK3)
| complement(sK3,sK5(sK3))
| zero != multiplication(sK5(sK3),sK3) ),
inference(superposition,[],[f58,f94]) ).
fof(f94,plain,
zero = multiplication(sK3,sK5(sK3)),
inference(resolution,[],[f73,f40]) ).
fof(f73,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK5(X0)) ),
inference(resolution,[],[f55,f50]) ).
fof(f55,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f58,plain,
! [X0,X1] :
( zero != multiplication(X1,X0)
| addition(X0,X1) != one
| complement(X1,X0)
| zero != multiplication(X0,X1) ),
inference(cnf_transformation,[],[f39]) ).
fof(f883,plain,
one = addition(sK3,sK5(sK3)),
inference(resolution,[],[f77,f40]) ).
fof(f77,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK5(X0)) ),
inference(resolution,[],[f57,f50]) ).
fof(f57,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f39]) ).
fof(f536,plain,
! [X0] : multiplication(X0,sK3) = multiplication(addition(X0,c(sK3)),sK3),
inference(forward_demodulation,[],[f478,f45]) ).
fof(f45,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',additive_identity) ).
fof(f478,plain,
! [X0] : multiplication(addition(X0,c(sK3)),sK3) = addition(multiplication(X0,sK3),zero),
inference(superposition,[],[f63,f98]) ).
fof(f98,plain,
zero = multiplication(c(sK3),sK3),
inference(resolution,[],[f74,f40]) ).
fof(f74,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(c(X0),X0) ),
inference(resolution,[],[f55,f64]) ).
fof(f64,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f53]) ).
fof(f53,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f63,plain,
! [X2,X0,X1] : multiplication(addition(X0,X1),X2) = addition(multiplication(X0,X2),multiplication(X1,X2)),
inference(cnf_transformation,[],[f9]) ).
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(f61,plain,
! [X2,X0,X1] : multiplication(X0,multiplication(X1,X2)) = multiplication(multiplication(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
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(f1076,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0)))) ),
inference(forward_demodulation,[],[f1075,f52]) ).
fof(f1075,plain,
( ~ leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,sK0)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0)))) ),
inference(backward_demodulation,[],[f311,f1072]) ).
fof(f311,plain,
( ~ leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0)))) ),
inference(forward_demodulation,[],[f310,f307]) ).
fof(f307,plain,
! [X0,X1] : multiplication(sK3,X1) = multiplication(sK3,addition(X1,multiplication(c(sK3),X0))),
inference(forward_demodulation,[],[f255,f45]) ).
fof(f255,plain,
! [X0,X1] : addition(multiplication(sK3,X1),zero) = multiplication(sK3,addition(X1,multiplication(c(sK3),X0))),
inference(superposition,[],[f62,f151]) ).
fof(f151,plain,
! [X0] : zero = multiplication(sK3,multiplication(c(sK3),X0)),
inference(forward_demodulation,[],[f135,f44]) ).
fof(f44,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',left_annihilation) ).
fof(f135,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK3,multiplication(c(sK3),X0)),
inference(superposition,[],[f61,f123]) ).
fof(f123,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f76,f40]) ).
fof(f76,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f56,f64]) ).
fof(f62,plain,
! [X2,X0,X1] : multiplication(X0,addition(X1,X2)) = addition(multiplication(X0,X1),multiplication(X0,X2)),
inference(cnf_transformation,[],[f8]) ).
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(f310,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1)))))
| ~ leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) ),
inference(forward_demodulation,[],[f309,f52]) ).
fof(f309,plain,
( ~ leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2))) ),
inference(forward_demodulation,[],[f308,f52]) ).
fof(f308,plain,
( ~ leq(addition(multiplication(sK3,multiplication(sK3,sK0)),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2))) ),
inference(backward_demodulation,[],[f42,f307]) ).
fof(f42,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)))
| ~ leq(addition(multiplication(sK3,addition(multiplication(sK3,sK0),multiplication(c(sK3),sK1))),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) ),
inference(cnf_transformation,[],[f32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE027+2 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.34 % Computer : n031.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 05:35:43 EDT 2024
% 0.18/0.34 % CPUTime :
% 0.18/0.34 % (26110)Running in auto input_syntax mode. Trying TPTP
% 0.18/0.36 % (26113)WARNING: value z3 for option sas not known
% 0.18/0.36 % (26115)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.18/0.36 % (26111)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.36 % (26117)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.18/0.36 % (26112)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.18/0.36 % (26116)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.18/0.36 % (26113)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.18/0.36 % (26114)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 TRYING [1]
% 0.18/0.36 TRYING [2]
% 0.18/0.36 TRYING [3]
% 0.18/0.37 TRYING [1]
% 0.18/0.37 TRYING [2]
% 0.18/0.37 TRYING [4]
% 0.18/0.38 TRYING [3]
% 0.18/0.39 % (26116)First to succeed.
% 0.18/0.40 % (26116)Refutation found. Thanks to Tanya!
% 0.18/0.40 % SZS status Theorem for theBenchmark
% 0.18/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.40 % (26116)------------------------------
% 0.18/0.40 % (26116)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.18/0.40 % (26116)Termination reason: Refutation
% 0.18/0.40
% 0.18/0.40 % (26116)Memory used [KB]: 1355
% 0.18/0.40 % (26116)Time elapsed: 0.036 s
% 0.18/0.40 % (26116)Instructions burned: 69 (million)
% 0.18/0.40 % (26116)------------------------------
% 0.18/0.40 % (26116)------------------------------
% 0.18/0.40 % (26110)Success in time 0.053 s
%------------------------------------------------------------------------------