TSTP Solution File: GRP080-1 by Vampire-SAT---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n021.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 11:51:28 EDT 2024
% Result : Unsatisfiable 0.23s 0.50s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 5
% Syntax : Number of formulae : 103 ( 98 unt; 0 def)
% Number of atoms : 111 ( 110 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 23 ( 15 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 177 ( 177 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4339,plain,
$false,
inference(trivial_inequality_removal,[],[f4338]) ).
fof(f4338,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f1165,f2998]) ).
fof(f2998,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(forward_demodulation,[],[f2953,f2166]) ).
fof(f2166,plain,
! [X2,X0,X1] : multiply(X2,multiply(X0,X1)) = double_divide(inverse(X2),double_divide(X1,X0)),
inference(superposition,[],[f1527,f1178]) ).
fof(f1178,plain,
! [X0,X1] : double_divide(X0,X1) = inverse(multiply(X1,X0)),
inference(backward_demodulation,[],[f499,f1166]) ).
fof(f1166,plain,
! [X0] : multiply(X0,identity) = X0,
inference(backward_demodulation,[],[f454,f1099]) ).
fof(f1099,plain,
! [X0] : double_divide(inverse(X0),identity) = X0,
inference(backward_demodulation,[],[f8,f1098]) ).
fof(f1098,plain,
! [X0] : multiply(identity,X0) = X0,
inference(backward_demodulation,[],[f418,f1084]) ).
fof(f1084,plain,
! [X0,X1] : double_divide(multiply(inverse(X1),multiply(identity,inverse(X0))),multiply(identity,X1)) = X0,
inference(superposition,[],[f411,f1039]) ).
fof(f1039,plain,
! [X0] : identity = double_divide(X0,multiply(identity,inverse(X0))),
inference(superposition,[],[f887,f186]) ).
fof(f186,plain,
identity = inverse(identity),
inference(superposition,[],[f16,f31]) ).
fof(f31,plain,
! [X0,X1] : identity = double_divide(double_divide(X0,X1),multiply(X1,X0)),
inference(superposition,[],[f4,f11]) ).
fof(f11,plain,
! [X0,X1] : multiply(X1,X0) = inverse(double_divide(X0,X1)),
inference(superposition,[],[f2,f3]) ).
fof(f3,axiom,
! [X0] : inverse(X0) = double_divide(X0,identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',inverse) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = double_divide(double_divide(X1,X0),identity),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f4,axiom,
! [X0] : identity = double_divide(X0,inverse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',identity) ).
fof(f16,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(backward_demodulation,[],[f7,f11]) ).
fof(f7,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,inverse(X1))),inverse(double_divide(X1,double_divide(X2,X0)))) = X2,
inference(forward_demodulation,[],[f6,f3]) ).
fof(f6,plain,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),inverse(double_divide(X1,double_divide(X2,X0)))) = X2,
inference(forward_demodulation,[],[f1,f3]) ).
fof(f1,axiom,
! [X2,X0,X1] : double_divide(double_divide(identity,double_divide(X0,double_divide(X1,identity))),double_divide(double_divide(X1,double_divide(X2,X0)),identity)) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f887,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(forward_demodulation,[],[f868,f530]) ).
fof(f530,plain,
! [X0] : multiply(identity,multiply(X0,identity)) = X0,
inference(superposition,[],[f360,f504]) ).
fof(f504,plain,
! [X0] : multiply(identity,X0) = multiply(X0,identity),
inference(superposition,[],[f453,f17]) ).
fof(f17,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(superposition,[],[f8,f3]) ).
fof(f453,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f11,f377]) ).
fof(f377,plain,
! [X0] : inverse(X0) = double_divide(identity,X0),
inference(backward_demodulation,[],[f286,f360]) ).
fof(f286,plain,
! [X0] : inverse(X0) = double_divide(identity,multiply(identity,multiply(identity,X0))),
inference(superposition,[],[f202,f23]) ).
fof(f23,plain,
! [X0] : identity = double_divide(inverse(X0),multiply(identity,X0)),
inference(superposition,[],[f4,f17]) ).
fof(f202,plain,
! [X0,X1] : double_divide(identity,multiply(double_divide(X1,X0),X0)) = X1,
inference(backward_demodulation,[],[f193,f186]) ).
fof(f193,plain,
! [X0,X1] : double_divide(inverse(identity),multiply(double_divide(X1,X0),X0)) = X1,
inference(forward_demodulation,[],[f175,f3]) ).
fof(f175,plain,
! [X0,X1] : double_divide(double_divide(identity,identity),multiply(double_divide(X1,X0),X0)) = X1,
inference(superposition,[],[f16,f4]) ).
fof(f360,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(forward_demodulation,[],[f336,f276]) ).
fof(f276,plain,
! [X0] : double_divide(identity,multiply(identity,inverse(X0))) = X0,
inference(superposition,[],[f202,f4]) ).
fof(f336,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = double_divide(identity,multiply(identity,inverse(X0))),
inference(superposition,[],[f326,f20]) ).
fof(f20,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(superposition,[],[f17,f17]) ).
fof(f326,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,inverse(X0)),
inference(backward_demodulation,[],[f282,f321]) ).
fof(f321,plain,
! [X0] : inverse(X0) = multiply(multiply(identity,inverse(X0)),identity),
inference(superposition,[],[f11,f276]) ).
fof(f282,plain,
! [X0] : multiply(identity,X0) = double_divide(identity,multiply(multiply(identity,inverse(X0)),identity)),
inference(superposition,[],[f202,f19]) ).
fof(f19,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(multiply(identity,X0),identity),
inference(superposition,[],[f2,f8]) ).
fof(f868,plain,
! [X0,X1] : double_divide(multiply(identity,multiply(X0,identity)),multiply(inverse(X1),inverse(X0))) = X1,
inference(superposition,[],[f355,f453]) ).
fof(f355,plain,
! [X0,X1] : double_divide(multiply(identity,inverse(X1)),multiply(inverse(X0),X1)) = X0,
inference(forward_demodulation,[],[f350,f20]) ).
fof(f350,plain,
! [X0,X1] : double_divide(inverse(multiply(identity,X1)),multiply(inverse(X0),X1)) = X0,
inference(backward_demodulation,[],[f332,f349]) ).
fof(f349,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = double_divide(identity,multiply(X1,X0)),
inference(forward_demodulation,[],[f335,f15]) ).
fof(f15,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f10,f3]) ).
fof(f10,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(multiply(X1,X0),identity),
inference(superposition,[],[f2,f2]) ).
fof(f335,plain,
! [X0,X1] : multiply(identity,double_divide(X0,X1)) = double_divide(identity,multiply(X1,X0)),
inference(superposition,[],[f326,f11]) ).
fof(f332,plain,
! [X0,X1] : double_divide(double_divide(identity,multiply(identity,X1)),multiply(inverse(X0),X1)) = X0,
inference(backward_demodulation,[],[f176,f326]) ).
fof(f176,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(identity,inverse(X1))),multiply(inverse(X0),X1)) = X0,
inference(superposition,[],[f16,f3]) ).
fof(f411,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X1),X0),multiply(double_divide(X2,X0),X1)) = X2,
inference(forward_demodulation,[],[f393,f11]) ).
fof(f393,plain,
! [X2,X0,X1] : double_divide(inverse(double_divide(X0,inverse(X1))),multiply(double_divide(X2,X0),X1)) = X2,
inference(backward_demodulation,[],[f16,f377]) ).
fof(f418,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(multiply(inverse(X1),multiply(identity,inverse(X0))),multiply(identity,X1)),
inference(forward_demodulation,[],[f400,f11]) ).
fof(f400,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(inverse(double_divide(multiply(identity,inverse(X0)),inverse(X1))),multiply(identity,X1)),
inference(backward_demodulation,[],[f182,f377]) ).
fof(f182,plain,
! [X0,X1] : multiply(identity,X0) = double_divide(double_divide(identity,double_divide(multiply(identity,inverse(X0)),inverse(X1))),multiply(identity,X1)),
inference(superposition,[],[f16,f33]) ).
fof(f33,plain,
! [X0] : identity = double_divide(multiply(identity,X0),multiply(identity,inverse(X0))),
inference(superposition,[],[f23,f17]) ).
fof(f8,plain,
! [X0] : multiply(identity,X0) = double_divide(inverse(X0),identity),
inference(superposition,[],[f2,f3]) ).
fof(f454,plain,
! [X0] : double_divide(inverse(X0),identity) = multiply(X0,identity),
inference(superposition,[],[f2,f377]) ).
fof(f499,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(double_divide(X0,X1),identity),
inference(superposition,[],[f453,f11]) ).
fof(f1527,plain,
! [X0,X1] : multiply(X1,X0) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f1509,f11]) ).
fof(f1509,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(superposition,[],[f1187,f1153]) ).
fof(f1153,plain,
! [X0,X1] : inverse(X0) = multiply(double_divide(X0,X1),X1),
inference(backward_demodulation,[],[f768,f1098]) ).
fof(f768,plain,
! [X0,X1] : multiply(identity,inverse(X0)) = multiply(double_divide(X0,X1),X1),
inference(forward_demodulation,[],[f744,f376]) ).
fof(f376,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,X0)),
inference(backward_demodulation,[],[f284,f360]) ).
fof(f284,plain,
! [X0] : multiply(identity,inverse(X0)) = double_divide(identity,multiply(identity,multiply(identity,multiply(identity,X0)))),
inference(superposition,[],[f202,f54]) ).
fof(f54,plain,
! [X0] : identity = double_divide(multiply(identity,inverse(X0)),multiply(identity,multiply(identity,X0))),
inference(superposition,[],[f23,f20]) ).
fof(f744,plain,
! [X0,X1] : multiply(double_divide(X0,X1),X1) = double_divide(identity,multiply(identity,X0)),
inference(superposition,[],[f276,f441]) ).
fof(f441,plain,
! [X0,X1] : inverse(multiply(double_divide(X0,X1),X1)) = X0,
inference(superposition,[],[f377,f202]) ).
fof(f1187,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(X1),multiply(X0,X1)),
inference(forward_demodulation,[],[f1109,f1098]) ).
fof(f1109,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(identity,inverse(X1)),multiply(X0,X1)),
inference(backward_demodulation,[],[f358,f1098]) ).
fof(f358,plain,
! [X0,X1] : inverse(X0) = double_divide(multiply(identity,inverse(X1)),multiply(multiply(identity,X0),X1)),
inference(forward_demodulation,[],[f353,f20]) ).
fof(f353,plain,
! [X0,X1] : inverse(X0) = double_divide(inverse(multiply(identity,X1)),multiply(multiply(identity,X0),X1)),
inference(backward_demodulation,[],[f329,f349]) ).
fof(f329,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,multiply(identity,X1)),multiply(multiply(identity,X0),X1)),
inference(backward_demodulation,[],[f184,f326]) ).
fof(f184,plain,
! [X0,X1] : inverse(X0) = double_divide(double_divide(identity,double_divide(identity,inverse(X1))),multiply(multiply(identity,X0),X1)),
inference(superposition,[],[f16,f8]) ).
fof(f2953,plain,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = double_divide(inverse(X0),double_divide(X2,X1)),
inference(superposition,[],[f2759,f1534]) ).
fof(f1534,plain,
! [X0,X1] : multiply(inverse(X1),multiply(X1,X0)) = X0,
inference(forward_demodulation,[],[f1519,f1168]) ).
fof(f1168,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(backward_demodulation,[],[f453,f1166]) ).
fof(f1519,plain,
! [X0,X1] : inverse(inverse(X0)) = multiply(inverse(X1),multiply(X1,X0)),
inference(superposition,[],[f1153,f1187]) ).
fof(f2759,plain,
! [X2,X0,X1] : multiply(X2,X0) = double_divide(X1,double_divide(X0,multiply(X1,X2))),
inference(superposition,[],[f1291,f1463]) ).
fof(f1463,plain,
! [X2,X0,X1] : double_divide(double_divide(X2,multiply(X0,X1)),multiply(X1,X2)) = X0,
inference(backward_demodulation,[],[f1307,f1462]) ).
fof(f1462,plain,
! [X2,X0,X1] : double_divide(X0,multiply(X1,X2)) = multiply(inverse(X0),double_divide(X2,X1)),
inference(forward_demodulation,[],[f1444,f1178]) ).
fof(f1444,plain,
! [X2,X0,X1] : inverse(multiply(multiply(X1,X2),X0)) = multiply(inverse(X0),double_divide(X2,X1)),
inference(superposition,[],[f1341,f1140]) ).
fof(f1140,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(inverse(X2),multiply(multiply(X1,X0),X2)),
inference(backward_demodulation,[],[f356,f1098]) ).
fof(f356,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(multiply(identity,inverse(X2)),multiply(multiply(X1,X0),X2)),
inference(forward_demodulation,[],[f351,f20]) ).
fof(f351,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(inverse(multiply(identity,X2)),multiply(multiply(X1,X0),X2)),
inference(backward_demodulation,[],[f331,f349]) ).
fof(f331,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,multiply(identity,X2)),multiply(multiply(X1,X0),X2)),
inference(backward_demodulation,[],[f178,f326]) ).
fof(f178,plain,
! [X2,X0,X1] : double_divide(X0,X1) = double_divide(double_divide(identity,double_divide(identity,inverse(X2))),multiply(multiply(X1,X0),X2)),
inference(superposition,[],[f16,f2]) ).
fof(f1341,plain,
! [X0,X1] : inverse(X1) = multiply(X0,double_divide(X0,X1)),
inference(forward_demodulation,[],[f1329,f3]) ).
fof(f1329,plain,
! [X0,X1] : double_divide(X1,identity) = multiply(X0,double_divide(X0,X1)),
inference(superposition,[],[f2,f1291]) ).
fof(f1307,plain,
! [X2,X0,X1] : double_divide(multiply(inverse(X2),double_divide(X1,X0)),multiply(X1,X2)) = X0,
inference(superposition,[],[f411,f1193]) ).
fof(f1193,plain,
! [X0,X1] : double_divide(X0,double_divide(X1,X0)) = X1,
inference(forward_demodulation,[],[f1121,f1178]) ).
fof(f1121,plain,
! [X0,X1] : double_divide(X0,inverse(multiply(X0,X1))) = X1,
inference(backward_demodulation,[],[f517,f1098]) ).
fof(f517,plain,
! [X0,X1] : double_divide(multiply(identity,X0),inverse(multiply(X0,X1))) = X1,
inference(backward_demodulation,[],[f328,f499]) ).
fof(f328,plain,
! [X0,X1] : double_divide(multiply(identity,X0),multiply(double_divide(X1,X0),identity)) = X1,
inference(backward_demodulation,[],[f219,f326]) ).
fof(f219,plain,
! [X0,X1] : double_divide(double_divide(identity,inverse(X0)),multiply(double_divide(X1,X0),identity)) = X1,
inference(forward_demodulation,[],[f211,f3]) ).
fof(f211,plain,
! [X0,X1] : double_divide(double_divide(identity,double_divide(X0,identity)),multiply(double_divide(X1,X0),identity)) = X1,
inference(superposition,[],[f16,f186]) ).
fof(f1291,plain,
! [X0,X1] : double_divide(double_divide(X1,X0),X1) = X0,
inference(superposition,[],[f1193,f1193]) ).
fof(f1165,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(trivial_inequality_removal,[],[f1164]) ).
fof(f1164,plain,
( a2 != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(backward_demodulation,[],[f203,f1098]) ).
fof(f203,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(trivial_inequality_removal,[],[f195]) ).
fof(f195,plain,
( identity != identity
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2) ),
inference(backward_demodulation,[],[f14,f186]) ).
fof(f14,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(identity,a2)
| identity != inverse(identity) ),
inference(backward_demodulation,[],[f5,f13]) ).
fof(f13,plain,
! [X0] : multiply(inverse(X0),X0) = inverse(identity),
inference(forward_demodulation,[],[f9,f3]) ).
fof(f9,plain,
! [X0] : multiply(inverse(X0),X0) = double_divide(identity,identity),
inference(superposition,[],[f2,f4]) ).
fof(f5,axiom,
( a2 != multiply(identity,a2)
| identity != multiply(inverse(a1),a1)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GRP080-1 : TPTP v8.1.2. Bugfixed v2.3.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n021.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 : Tue Apr 30 04:27:55 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.37 % (17915)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (17918)WARNING: value z3 for option sas not known
% 0.15/0.38 % (17917)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 % (17919)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (17916)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (17918)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 % (17920)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 % (17921)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 % (17922)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 [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [3]
% 0.15/0.39 TRYING [4]
% 0.15/0.41 TRYING [5]
% 0.15/0.42 TRYING [4]
% 0.23/0.47 TRYING [6]
% 0.23/0.50 % (17921)First to succeed.
% 0.23/0.50 % (17921)Refutation found. Thanks to Tanya!
% 0.23/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.23/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/0.50 % (17921)------------------------------
% 0.23/0.50 % (17921)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.23/0.50 % (17921)Termination reason: Refutation
% 0.23/0.50
% 0.23/0.50 % (17921)Memory used [KB]: 1998
% 0.23/0.50 % (17921)Time elapsed: 0.117 s
% 0.23/0.50 % (17921)Instructions burned: 187 (million)
% 0.23/0.50 % (17921)------------------------------
% 0.23/0.50 % (17921)------------------------------
% 0.23/0.50 % (17915)Success in time 0.135 s
%------------------------------------------------------------------------------