TSTP Solution File: KLE027+4 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : KLE027+4 : 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 : n029.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 : Sun May 5 07:17:05 EDT 2024
% Result : Theorem 0.15s 0.40s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 14
% Syntax : Number of formulae : 74 ( 30 unt; 0 def)
% Number of atoms : 165 ( 61 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 153 ( 62 ~; 45 |; 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 : 116 ( 96 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f597,plain,
$false,
inference(resolution,[],[f554,f98]) ).
fof(f98,plain,
! [X0] : leq(X0,X0),
inference(trivial_inequality_removal,[],[f93]) ).
fof(f93,plain,
! [X0] :
( X0 != X0
| leq(X0,X0) ),
inference(superposition,[],[f69,f56]) ).
fof(f56,plain,
! [X0] : addition(X0,X0) = X0,
inference(cnf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] : addition(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_idempotence) ).
fof(f69,plain,
! [X0,X1] :
( addition(X0,X1) != X1
| leq(X0,X1) ),
inference(cnf_transformation,[],[f38]) ).
fof(f38,plain,
! [X0,X1] :
( leq(X0,X1)
| addition(X0,X1) != X1 ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,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/sandbox/benchmark/theBenchmark.p',order) ).
fof(f554,plain,
~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f553,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,[],[f552,f60]) ).
fof(f60,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/sandbox/benchmark/theBenchmark.p',additive_commutativity) ).
fof(f552,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,[],[f551,f549]) ).
fof(f549,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,multiplication(sK3,X0)),
inference(superposition,[],[f71,f536]) ).
fof(f536,plain,
sK3 = multiplication(sK3,sK3),
inference(forward_demodulation,[],[f525,f54]) ).
fof(f54,plain,
! [X0] : multiplication(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] : multiplication(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiplicative_right_identity) ).
fof(f525,plain,
multiplication(sK3,one) = multiplication(sK3,sK3),
inference(superposition,[],[f276,f138]) ).
fof(f138,plain,
one = addition(sK3,sK5(sK3)),
inference(resolution,[],[f89,f48]) ).
fof(f48,plain,
test(sK3),
inference(cnf_transformation,[],[f40]) ).
fof(f40,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])],[f31,f39]) ).
fof(f39,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(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) ),
inference(flattening,[],[f30]) ).
fof(f30,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,[],[f21]) ).
fof(f21,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,[],[f20]) ).
fof(f20,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,[],[f19]) ).
fof(f19,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/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f89,plain,
! [X0] :
( ~ test(X0)
| one = addition(X0,sK5(X0)) ),
inference(resolution,[],[f67,f58]) ).
fof(f58,plain,
! [X0] :
( complement(sK5(X0),X0)
| ~ test(X0) ),
inference(cnf_transformation,[],[f44]) ).
fof(f44,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( complement(sK5(X0),X0)
| ~ test(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f42,f43]) ).
fof(f43,plain,
! [X0] :
( ? [X2] : complement(X2,X0)
=> complement(sK5(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f42,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X2] : complement(X2,X0)
| ~ test(X0) ) ),
inference(rectify,[],[f41]) ).
fof(f41,plain,
! [X0] :
( ( test(X0)
| ! [X1] : ~ complement(X1,X0) )
& ( ? [X1] : complement(X1,X0)
| ~ test(X0) ) ),
inference(nnf_transformation,[],[f23]) ).
fof(f23,plain,
! [X0] :
( test(X0)
<=> ? [X1] : complement(X1,X0) ),
inference(rectify,[],[f13]) ).
fof(f13,axiom,
! [X3] :
( test(X3)
<=> ? [X4] : complement(X4,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',test_1) ).
fof(f67,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| addition(X0,X1) = one ),
inference(cnf_transformation,[],[f47]) ).
fof(f47,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,[],[f46]) ).
fof(f46,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,[],[f27]) ).
fof(f27,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/sandbox/benchmark/theBenchmark.p',test_2) ).
fof(f276,plain,
! [X0] : multiplication(sK3,X0) = multiplication(sK3,addition(X0,sK5(sK3))),
inference(forward_demodulation,[],[f232,f53]) ).
fof(f53,plain,
! [X0] : addition(X0,zero) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] : addition(X0,zero) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',additive_identity) ).
fof(f232,plain,
! [X0] : multiplication(sK3,addition(X0,sK5(sK3))) = addition(multiplication(sK3,X0),zero),
inference(superposition,[],[f72,f105]) ).
fof(f105,plain,
zero = multiplication(sK3,sK5(sK3)),
inference(resolution,[],[f85,f48]) ).
fof(f85,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,sK5(X0)) ),
inference(resolution,[],[f65,f58]) ).
fof(f65,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X0,X1) ),
inference(cnf_transformation,[],[f47]) ).
fof(f72,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/sandbox/benchmark/theBenchmark.p',right_distributivity) ).
fof(f71,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/sandbox/benchmark/theBenchmark.p',multiplicative_associativity) ).
fof(f551,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,[],[f550,f60]) ).
fof(f550,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,[],[f283,f549]) ).
fof(f283,plain,
( ~ leq(addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2)),addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))))
| ~ leq(addition(multiplication(c(sK3),sK2),multiplication(sK3,multiplication(sK3,sK0))),addition(multiplication(sK3,sK0),multiplication(c(sK3),sK2))) ),
inference(forward_demodulation,[],[f282,f279]) ).
fof(f279,plain,
! [X0,X1] : multiplication(sK3,X1) = multiplication(sK3,addition(X1,multiplication(c(sK3),X0))),
inference(forward_demodulation,[],[f235,f53]) ).
fof(f235,plain,
! [X0,X1] : addition(multiplication(sK3,X1),zero) = multiplication(sK3,addition(X1,multiplication(c(sK3),X0))),
inference(superposition,[],[f72,f164]) ).
fof(f164,plain,
! [X0] : zero = multiplication(sK3,multiplication(c(sK3),X0)),
inference(forward_demodulation,[],[f148,f52]) ).
fof(f52,plain,
! [X0] : zero = multiplication(zero,X0),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] : zero = multiplication(zero,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_annihilation) ).
fof(f148,plain,
! [X0] : multiplication(zero,X0) = multiplication(sK3,multiplication(c(sK3),X0)),
inference(superposition,[],[f71,f134]) ).
fof(f134,plain,
zero = multiplication(sK3,c(sK3)),
inference(resolution,[],[f88,f48]) ).
fof(f88,plain,
! [X0] :
( ~ test(X0)
| zero = multiplication(X0,c(X0)) ),
inference(resolution,[],[f66,f74]) ).
fof(f74,plain,
! [X0] :
( complement(X0,c(X0))
| ~ test(X0) ),
inference(equality_resolution,[],[f61]) ).
fof(f61,plain,
! [X0,X1] :
( complement(X0,X1)
| c(X0) != X1
| ~ test(X0) ),
inference(cnf_transformation,[],[f45]) ).
fof(f45,plain,
! [X0,X1] :
( ( ( c(X0) = X1
| ~ complement(X0,X1) )
& ( complement(X0,X1)
| c(X0) != X1 ) )
| ~ test(X0) ),
inference(nnf_transformation,[],[f33]) ).
fof(f33,plain,
! [X0,X1] :
( ( c(X0) = X1
<=> complement(X0,X1) )
| ~ test(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,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/sandbox/benchmark/theBenchmark.p',test_3) ).
fof(f66,plain,
! [X0,X1] :
( ~ complement(X1,X0)
| zero = multiplication(X1,X0) ),
inference(cnf_transformation,[],[f47]) ).
fof(f282,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,[],[f281,f60]) ).
fof(f281,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,[],[f280,f60]) ).
fof(f280,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,[],[f50,f279]) ).
fof(f50,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,[],[f40]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE027+4 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n029.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri May 3 21:20:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (18252)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (18256)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 TRYING [1]
% 0.15/0.38 TRYING [2]
% 0.15/0.38 % (18255)WARNING: value z3 for option sas not known
% 0.15/0.38 % (18253)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 TRYING [3]
% 0.15/0.38 % (18254)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (18255)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)
% 0.15/0.38 % (18257)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)
% 0.15/0.38 % (18258)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)
% 0.15/0.38 % (18259)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)
% 0.15/0.39 TRYING [4]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 % (18258)First to succeed.
% 0.15/0.40 % (18258)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18252"
% 0.15/0.40 % (18258)Refutation found. Thanks to Tanya!
% 0.15/0.40 % SZS status Theorem for theBenchmark
% 0.15/0.40 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.40 % (18258)------------------------------
% 0.15/0.40 % (18258)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.15/0.40 % (18258)Termination reason: Refutation
% 0.15/0.40
% 0.15/0.40 % (18258)Memory used [KB]: 1197
% 0.15/0.40 % (18258)Time elapsed: 0.024 s
% 0.15/0.40 % (18258)Instructions burned: 37 (million)
% 0.15/0.40 % (18252)Success in time 0.04 s
%------------------------------------------------------------------------------