TSTP Solution File: GRP114-1 by Vampire---4.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : GRP114-1 : TPTP v8.2.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n022.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 : Mon Jun 24 07:15:28 EDT 2024
% Result : Unsatisfiable 2.58s 0.73s
% Output : Refutation 2.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 23
% Syntax : Number of formulae : 172 ( 172 unt; 0 def)
% Number of atoms : 172 ( 171 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 5 con; 0-2 aty)
% Number of variables : 167 ( 167 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f17780,plain,
$false,
inference(subsumption_resolution,[],[f17779,f26]) ).
fof(f26,plain,
a != sF2,
inference(definition_folding,[],[f22,f25,f24,f23]) ).
fof(f23,plain,
union(a,identity) = sF0,
introduced(function_definition,[new_symbols(definition,[sF0])]) ).
fof(f24,plain,
intersection(a,identity) = sF1,
introduced(function_definition,[new_symbols(definition,[sF1])]) ).
fof(f25,plain,
multiply(sF0,sF1) = sF2,
introduced(function_definition,[new_symbols(definition,[sF2])]) ).
fof(f22,plain,
a != multiply(union(a,identity),intersection(a,identity)),
inference(definition_unfolding,[],[f21,f19,f20]) ).
fof(f20,axiom,
! [X0] : negative_part(X0) = intersection(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f19,axiom,
! [X0] : positive_part(X0) = union(X0,identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f21,axiom,
a != multiply(positive_part(a),negative_part(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17779,plain,
a = sF2,
inference(forward_demodulation,[],[f17778,f309]) ).
fof(f309,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[],[f301,f5]) ).
fof(f5,axiom,
! [X0] : inverse(inverse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f301,plain,
! [X0] : inverse(inverse(X0)) = multiply(X0,identity),
inference(superposition,[],[f5,f98]) ).
fof(f98,plain,
! [X0] : inverse(X0) = inverse(multiply(X0,identity)),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f1,axiom,
! [X0] : multiply(identity,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f83,plain,
! [X0] : inverse(multiply(X0,identity)) = multiply(identity,inverse(X0)),
inference(superposition,[],[f6,f4]) ).
fof(f4,axiom,
identity = inverse(identity),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6,axiom,
! [X0,X1] : inverse(multiply(X0,X1)) = multiply(inverse(X1),inverse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17778,plain,
sF2 = multiply(a,identity),
inference(forward_demodulation,[],[f17765,f29]) ).
fof(f29,plain,
! [X0] : identity = multiply(X0,inverse(X0)),
inference(superposition,[],[f2,f5]) ).
fof(f2,axiom,
! [X0] : identity = multiply(inverse(X0),X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17765,plain,
sF2 = multiply(a,multiply(a,inverse(a))),
inference(backward_demodulation,[],[f9877,f17751]) ).
fof(f17751,plain,
! [X0] : multiply(sF0,multiply(sF1,X0)) = multiply(a,X0),
inference(backward_demodulation,[],[f14992,f17738]) ).
fof(f17738,plain,
! [X0] : multiply(a,X0) = multiply(sF1,multiply(sF0,X0)),
inference(superposition,[],[f3,f17717]) ).
fof(f17717,plain,
a = multiply(sF1,sF0),
inference(forward_demodulation,[],[f17716,f121]) ).
fof(f121,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = X1,
inference(forward_demodulation,[],[f112,f1]) ).
fof(f112,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X0),X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f29]) ).
fof(f17716,plain,
multiply(sF1,sF0) = multiply(sF1,multiply(inverse(sF1),a)),
inference(forward_demodulation,[],[f17715,f9003]) ).
fof(f9003,plain,
multiply(inverse(sF1),a) = union(identity,multiply(inverse(sF1),a)),
inference(superposition,[],[f322,f46]) ).
fof(f46,plain,
a = union(sF1,a),
inference(superposition,[],[f13,f34]) ).
fof(f34,plain,
sF1 = intersection(identity,a),
inference(superposition,[],[f9,f24]) ).
fof(f9,axiom,
! [X0,X1] : intersection(X0,X1) = intersection(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f13,axiom,
! [X0,X1] : union(intersection(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f322,plain,
! [X0,X1] : multiply(inverse(X0),union(X0,X1)) = union(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f15,f2]) ).
fof(f15,axiom,
! [X2,X0,X1] : multiply(X0,union(X1,X2)) = union(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17715,plain,
multiply(sF1,sF0) = multiply(sF1,union(identity,multiply(inverse(sF1),a))),
inference(forward_demodulation,[],[f17714,f943]) ).
fof(f943,plain,
! [X0] : multiply(inverse(sF1),X0) = union(X0,multiply(inverse(sF1),X0)),
inference(forward_demodulation,[],[f942,f1]) ).
fof(f942,plain,
! [X0] : multiply(inverse(sF1),X0) = union(X0,multiply(identity,multiply(inverse(sF1),X0))),
inference(forward_demodulation,[],[f941,f4]) ).
fof(f941,plain,
! [X0] : multiply(inverse(sF1),X0) = union(X0,multiply(inverse(identity),multiply(inverse(sF1),X0))),
inference(forward_demodulation,[],[f940,f1]) ).
fof(f940,plain,
! [X0] : multiply(inverse(sF1),X0) = multiply(identity,union(X0,multiply(inverse(identity),multiply(inverse(sF1),X0)))),
inference(superposition,[],[f527,f691]) ).
fof(f691,plain,
inverse(sF1) = union(identity,inverse(sF1)),
inference(superposition,[],[f672,f10]) ).
fof(f10,axiom,
! [X0,X1] : union(X0,X1) = union(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f672,plain,
inverse(sF1) = union(inverse(sF1),identity),
inference(superposition,[],[f629,f29]) ).
fof(f629,plain,
! [X0] : union(X0,multiply(sF1,X0)) = X0,
inference(forward_demodulation,[],[f628,f1]) ).
fof(f628,plain,
! [X0] : multiply(identity,X0) = union(X0,multiply(sF1,X0)),
inference(forward_demodulation,[],[f627,f1]) ).
fof(f627,plain,
! [X0] : multiply(identity,X0) = union(X0,multiply(identity,multiply(sF1,X0))),
inference(forward_demodulation,[],[f626,f4]) ).
fof(f626,plain,
! [X0] : multiply(identity,X0) = union(X0,multiply(inverse(identity),multiply(sF1,X0))),
inference(forward_demodulation,[],[f578,f1]) ).
fof(f578,plain,
! [X0] : multiply(identity,X0) = multiply(identity,union(X0,multiply(inverse(identity),multiply(sF1,X0)))),
inference(superposition,[],[f527,f62]) ).
fof(f62,plain,
identity = union(identity,sF1),
inference(superposition,[],[f45,f10]) ).
fof(f45,plain,
identity = union(sF1,identity),
inference(superposition,[],[f13,f24]) ).
fof(f527,plain,
! [X2,X0,X1] : multiply(union(X1,X2),X0) = multiply(X1,union(X0,multiply(inverse(X1),multiply(X2,X0)))),
inference(backward_demodulation,[],[f17,f506]) ).
fof(f506,plain,
! [X2,X0,X1] : multiply(X0,union(X2,multiply(inverse(X0),X1))) = union(multiply(X0,X2),X1),
inference(superposition,[],[f15,f121]) ).
fof(f17,axiom,
! [X2,X0,X1] : multiply(union(X1,X2),X0) = union(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17714,plain,
multiply(sF1,sF0) = multiply(sF1,union(identity,union(a,multiply(inverse(sF1),a)))),
inference(forward_demodulation,[],[f17713,f204]) ).
fof(f204,plain,
! [X0] : union(identity,union(a,X0)) = union(sF0,X0),
inference(superposition,[],[f12,f38]) ).
fof(f38,plain,
sF0 = union(identity,a),
inference(superposition,[],[f10,f23]) ).
fof(f12,axiom,
! [X2,X0,X1] : union(X0,union(X1,X2)) = union(union(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17713,plain,
multiply(sF1,sF0) = multiply(sF1,union(sF0,multiply(inverse(sF1),a))),
inference(forward_demodulation,[],[f17696,f506]) ).
fof(f17696,plain,
multiply(sF1,sF0) = union(multiply(sF1,sF0),a),
inference(superposition,[],[f47,f17652]) ).
fof(f17652,plain,
a = intersection(a,multiply(sF1,sF0)),
inference(forward_demodulation,[],[f17594,f7853]) ).
fof(f7853,plain,
a = intersection(a,multiply(a,sF0)),
inference(superposition,[],[f785,f7783]) ).
fof(f7783,plain,
multiply(sF0,a) = multiply(a,sF0),
inference(forward_demodulation,[],[f7754,f23]) ).
fof(f7754,plain,
multiply(sF0,a) = multiply(a,union(a,identity)),
inference(superposition,[],[f633,f2]) ).
fof(f633,plain,
! [X0] : multiply(sF0,X0) = multiply(a,union(X0,multiply(inverse(a),X0))),
inference(forward_demodulation,[],[f583,f1]) ).
fof(f583,plain,
! [X0] : multiply(sF0,X0) = multiply(a,union(X0,multiply(inverse(a),multiply(identity,X0)))),
inference(superposition,[],[f527,f23]) ).
fof(f785,plain,
! [X0] : intersection(X0,multiply(sF0,X0)) = X0,
inference(forward_demodulation,[],[f784,f1]) ).
fof(f784,plain,
! [X0] : multiply(identity,X0) = intersection(X0,multiply(sF0,X0)),
inference(forward_demodulation,[],[f783,f1]) ).
fof(f783,plain,
! [X0] : multiply(identity,X0) = intersection(X0,multiply(identity,multiply(sF0,X0))),
inference(forward_demodulation,[],[f782,f4]) ).
fof(f782,plain,
! [X0] : multiply(identity,X0) = intersection(X0,multiply(inverse(identity),multiply(sF0,X0))),
inference(forward_demodulation,[],[f724,f1]) ).
fof(f724,plain,
! [X0] : multiply(identity,X0) = multiply(identity,intersection(X0,multiply(inverse(identity),multiply(sF0,X0)))),
inference(superposition,[],[f541,f67]) ).
fof(f67,plain,
identity = intersection(identity,sF0),
inference(superposition,[],[f56,f9]) ).
fof(f56,plain,
identity = intersection(sF0,identity),
inference(superposition,[],[f14,f23]) ).
fof(f14,axiom,
! [X0,X1] : intersection(union(X0,X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f541,plain,
! [X2,X0,X1] : multiply(intersection(X1,X2),X0) = multiply(X1,intersection(X0,multiply(inverse(X1),multiply(X2,X0)))),
inference(backward_demodulation,[],[f18,f508]) ).
fof(f508,plain,
! [X2,X0,X1] : multiply(X0,intersection(X2,multiply(inverse(X0),X1))) = intersection(multiply(X0,X2),X1),
inference(superposition,[],[f16,f121]) ).
fof(f16,axiom,
! [X2,X0,X1] : multiply(X0,intersection(X1,X2)) = intersection(multiply(X0,X1),multiply(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f18,axiom,
! [X2,X0,X1] : multiply(intersection(X1,X2),X0) = intersection(multiply(X1,X0),multiply(X2,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f17594,plain,
intersection(a,multiply(a,sF0)) = intersection(a,multiply(sF1,sF0)),
inference(superposition,[],[f140,f781]) ).
fof(f781,plain,
! [X0] : multiply(sF1,X0) = intersection(X0,multiply(a,X0)),
inference(forward_demodulation,[],[f780,f1]) ).
fof(f780,plain,
! [X0] : multiply(sF1,X0) = intersection(X0,multiply(identity,multiply(a,X0))),
inference(forward_demodulation,[],[f779,f4]) ).
fof(f779,plain,
! [X0] : multiply(sF1,X0) = intersection(X0,multiply(inverse(identity),multiply(a,X0))),
inference(forward_demodulation,[],[f723,f1]) ).
fof(f723,plain,
! [X0] : multiply(sF1,X0) = multiply(identity,intersection(X0,multiply(inverse(identity),multiply(a,X0)))),
inference(superposition,[],[f541,f34]) ).
fof(f140,plain,
! [X0] : intersection(a,X0) = intersection(a,intersection(sF0,X0)),
inference(superposition,[],[f11,f77]) ).
fof(f77,plain,
a = intersection(a,sF0),
inference(superposition,[],[f54,f9]) ).
fof(f54,plain,
a = intersection(sF0,a),
inference(superposition,[],[f14,f38]) ).
fof(f11,axiom,
! [X2,X0,X1] : intersection(X0,intersection(X1,X2)) = intersection(intersection(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f47,plain,
! [X0,X1] : union(X1,intersection(X0,X1)) = X1,
inference(superposition,[],[f13,f10]) ).
fof(f3,axiom,
! [X2,X0,X1] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f14992,plain,
! [X0] : multiply(sF0,multiply(sF1,X0)) = multiply(sF1,multiply(sF0,X0)),
inference(backward_demodulation,[],[f13678,f14991]) ).
fof(f14991,plain,
! [X0] : multiply(sF0,multiply(sF1,X0)) = multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))),
inference(forward_demodulation,[],[f14990,f781]) ).
fof(f14990,plain,
! [X0] : multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))) = multiply(sF0,intersection(X0,multiply(a,X0))),
inference(forward_demodulation,[],[f14989,f5]) ).
fof(f14989,plain,
! [X0] : multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))) = multiply(sF0,intersection(X0,multiply(inverse(inverse(a)),X0))),
inference(forward_demodulation,[],[f14988,f34]) ).
fof(f14988,plain,
! [X0] : multiply(sF0,intersection(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF0,multiply(intersection(identity,a),multiply(inverse(a),X0)))),
inference(forward_demodulation,[],[f14987,f3]) ).
fof(f14987,plain,
! [X0] : multiply(sF0,intersection(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF0,multiply(multiply(intersection(identity,a),inverse(a)),X0))),
inference(forward_demodulation,[],[f14830,f6826]) ).
fof(f6826,plain,
! [X0] : multiply(intersection(identity,X0),inverse(X0)) = intersection(inverse(X0),identity),
inference(superposition,[],[f796,f29]) ).
fof(f796,plain,
! [X0,X1] : multiply(intersection(identity,X0),X1) = intersection(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f795,f1]) ).
fof(f795,plain,
! [X0,X1] : multiply(intersection(identity,X0),X1) = intersection(X1,multiply(identity,multiply(X0,X1))),
inference(forward_demodulation,[],[f736,f1]) ).
fof(f736,plain,
! [X0,X1] : multiply(intersection(identity,X0),X1) = multiply(identity,intersection(X1,multiply(identity,multiply(X0,X1)))),
inference(superposition,[],[f541,f4]) ).
fof(f14830,plain,
! [X0] : multiply(sF0,intersection(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF0,multiply(intersection(inverse(a),identity),X0))),
inference(superposition,[],[f7817,f744]) ).
fof(f744,plain,
! [X0,X1] : multiply(intersection(X1,identity),X0) = multiply(X1,intersection(X0,multiply(inverse(X1),X0))),
inference(superposition,[],[f541,f1]) ).
fof(f7817,plain,
! [X0] : multiply(sF0,X0) = multiply(a,multiply(sF0,multiply(inverse(a),X0))),
inference(backward_demodulation,[],[f633,f7813]) ).
fof(f7813,plain,
! [X0] : union(X0,multiply(inverse(a),X0)) = multiply(sF0,multiply(inverse(a),X0)),
inference(forward_demodulation,[],[f7777,f5145]) ).
fof(f5145,plain,
! [X0] : multiply(inverse(a),multiply(sF0,X0)) = multiply(sF0,multiply(inverse(a),X0)),
inference(forward_demodulation,[],[f5144,f625]) ).
fof(f625,plain,
! [X0] : multiply(sF0,X0) = union(X0,multiply(a,X0)),
inference(forward_demodulation,[],[f624,f1]) ).
fof(f624,plain,
! [X0] : multiply(sF0,X0) = union(X0,multiply(identity,multiply(a,X0))),
inference(forward_demodulation,[],[f623,f4]) ).
fof(f623,plain,
! [X0] : multiply(sF0,X0) = union(X0,multiply(inverse(identity),multiply(a,X0))),
inference(forward_demodulation,[],[f577,f1]) ).
fof(f577,plain,
! [X0] : multiply(sF0,X0) = multiply(identity,union(X0,multiply(inverse(identity),multiply(a,X0)))),
inference(superposition,[],[f527,f38]) ).
fof(f5144,plain,
! [X0] : multiply(sF0,multiply(inverse(a),X0)) = multiply(inverse(a),union(X0,multiply(a,X0))),
inference(forward_demodulation,[],[f5143,f5]) ).
fof(f5143,plain,
! [X0] : multiply(sF0,multiply(inverse(a),X0)) = multiply(inverse(a),union(X0,multiply(inverse(inverse(a)),X0))),
inference(forward_demodulation,[],[f5106,f506]) ).
fof(f5106,plain,
! [X0] : multiply(sF0,multiply(inverse(a),X0)) = union(multiply(inverse(a),X0),X0),
inference(superposition,[],[f625,f121]) ).
fof(f7777,plain,
! [X0] : multiply(inverse(a),multiply(sF0,X0)) = union(X0,multiply(inverse(a),X0)),
inference(superposition,[],[f125,f633]) ).
fof(f125,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = X1,
inference(forward_demodulation,[],[f115,f1]) ).
fof(f115,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X0,X1)) = multiply(identity,X1),
inference(superposition,[],[f3,f2]) ).
fof(f13678,plain,
! [X0] : multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))) = multiply(sF1,multiply(sF0,X0)),
inference(forward_demodulation,[],[f13677,f625]) ).
fof(f13677,plain,
! [X0] : multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))) = multiply(sF1,union(X0,multiply(a,X0))),
inference(forward_demodulation,[],[f13676,f5]) ).
fof(f13676,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF0,multiply(sF1,multiply(inverse(a),X0)))),
inference(forward_demodulation,[],[f13675,f7825]) ).
fof(f7825,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,multiply(sF1,multiply(inverse(a),X0))),
inference(forward_demodulation,[],[f7824,f5254]) ).
fof(f5254,plain,
! [X0] : multiply(inverse(a),multiply(sF1,X0)) = multiply(sF1,multiply(inverse(a),X0)),
inference(forward_demodulation,[],[f5253,f781]) ).
fof(f5253,plain,
! [X0] : multiply(sF1,multiply(inverse(a),X0)) = multiply(inverse(a),intersection(X0,multiply(a,X0))),
inference(forward_demodulation,[],[f5252,f5]) ).
fof(f5252,plain,
! [X0] : multiply(sF1,multiply(inverse(a),X0)) = multiply(inverse(a),intersection(X0,multiply(inverse(inverse(a)),X0))),
inference(forward_demodulation,[],[f5215,f508]) ).
fof(f5215,plain,
! [X0] : multiply(sF1,multiply(inverse(a),X0)) = intersection(multiply(inverse(a),X0),X0),
inference(superposition,[],[f781,f121]) ).
fof(f7824,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,multiply(inverse(a),multiply(sF1,X0))),
inference(forward_demodulation,[],[f7823,f781]) ).
fof(f7823,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,multiply(inverse(a),intersection(X0,multiply(a,X0)))),
inference(forward_demodulation,[],[f7822,f5]) ).
fof(f7822,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,multiply(inverse(a),intersection(X0,multiply(inverse(inverse(a)),X0)))),
inference(forward_demodulation,[],[f7821,f125]) ).
fof(f7821,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,multiply(inverse(a),intersection(X0,multiply(inverse(inverse(a)),multiply(inverse(sF0),multiply(sF0,X0)))))),
inference(forward_demodulation,[],[f7820,f508]) ).
fof(f7820,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = multiply(sF0,intersection(multiply(inverse(a),X0),multiply(inverse(sF0),multiply(sF0,X0)))),
inference(forward_demodulation,[],[f7816,f508]) ).
fof(f7816,plain,
! [X0] : multiply(sF1,multiply(sF0,multiply(inverse(a),X0))) = intersection(multiply(sF0,multiply(inverse(a),X0)),multiply(sF0,X0)),
inference(backward_demodulation,[],[f7774,f7813]) ).
fof(f7774,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(a),X0))) = intersection(union(X0,multiply(inverse(a),X0)),multiply(sF0,X0)),
inference(superposition,[],[f781,f633]) ).
fof(f13675,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF1,multiply(sF0,multiply(inverse(a),X0)))),
inference(forward_demodulation,[],[f13674,f38]) ).
fof(f13674,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF1,multiply(union(identity,a),multiply(inverse(a),X0)))),
inference(forward_demodulation,[],[f13673,f3]) ).
fof(f13673,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF1,multiply(multiply(union(identity,a),inverse(a)),X0))),
inference(forward_demodulation,[],[f13508,f5938]) ).
fof(f5938,plain,
! [X0] : multiply(union(identity,X0),inverse(X0)) = union(inverse(X0),identity),
inference(superposition,[],[f637,f29]) ).
fof(f637,plain,
! [X0,X1] : multiply(union(identity,X0),X1) = union(X1,multiply(X0,X1)),
inference(forward_demodulation,[],[f636,f1]) ).
fof(f636,plain,
! [X0,X1] : multiply(union(identity,X0),X1) = union(X1,multiply(identity,multiply(X0,X1))),
inference(forward_demodulation,[],[f589,f1]) ).
fof(f589,plain,
! [X0,X1] : multiply(union(identity,X0),X1) = multiply(identity,union(X1,multiply(identity,multiply(X0,X1)))),
inference(superposition,[],[f527,f4]) ).
fof(f13508,plain,
! [X0] : multiply(sF1,union(X0,multiply(inverse(inverse(a)),X0))) = multiply(a,multiply(sF1,multiply(union(inverse(a),identity),X0))),
inference(superposition,[],[f8041,f596]) ).
fof(f596,plain,
! [X0,X1] : multiply(union(X1,identity),X0) = multiply(X1,union(X0,multiply(inverse(X1),X0))),
inference(superposition,[],[f527,f1]) ).
fof(f8041,plain,
! [X0] : multiply(sF1,X0) = multiply(a,multiply(sF1,multiply(inverse(a),X0))),
inference(backward_demodulation,[],[f792,f8037]) ).
fof(f8037,plain,
! [X0] : intersection(X0,multiply(inverse(a),X0)) = multiply(sF1,multiply(inverse(a),X0)),
inference(forward_demodulation,[],[f8001,f5254]) ).
fof(f8001,plain,
! [X0] : multiply(inverse(a),multiply(sF1,X0)) = intersection(X0,multiply(inverse(a),X0)),
inference(superposition,[],[f125,f792]) ).
fof(f792,plain,
! [X0] : multiply(sF1,X0) = multiply(a,intersection(X0,multiply(inverse(a),X0))),
inference(forward_demodulation,[],[f730,f1]) ).
fof(f730,plain,
! [X0] : multiply(sF1,X0) = multiply(a,intersection(X0,multiply(inverse(a),multiply(identity,X0)))),
inference(superposition,[],[f541,f24]) ).
fof(f9877,plain,
sF2 = multiply(a,multiply(sF0,multiply(sF1,inverse(a)))),
inference(forward_demodulation,[],[f9876,f7]) ).
fof(f7,axiom,
! [X0] : intersection(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f9876,plain,
intersection(sF2,sF2) = multiply(a,multiply(sF0,multiply(sF1,inverse(a)))),
inference(forward_demodulation,[],[f9875,f9234]) ).
fof(f9234,plain,
multiply(sF1,inverse(a)) = intersection(identity,multiply(sF1,inverse(a))),
inference(superposition,[],[f14,f9100]) ).
fof(f9100,plain,
identity = union(identity,multiply(sF1,inverse(a))),
inference(forward_demodulation,[],[f9099,f2]) ).
fof(f9099,plain,
multiply(inverse(a),a) = union(identity,multiply(sF1,inverse(a))),
inference(forward_demodulation,[],[f8997,f8315]) ).
fof(f8315,plain,
multiply(sF1,inverse(a)) = multiply(inverse(a),sF1),
inference(superposition,[],[f125,f8186]) ).
fof(f8186,plain,
sF1 = multiply(a,multiply(sF1,inverse(a))),
inference(forward_demodulation,[],[f8185,f5]) ).
fof(f8185,plain,
inverse(inverse(sF1)) = multiply(a,multiply(sF1,inverse(a))),
inference(forward_demodulation,[],[f8170,f3]) ).
fof(f8170,plain,
inverse(inverse(sF1)) = multiply(multiply(a,sF1),inverse(a)),
inference(superposition,[],[f436,f8079]) ).
fof(f8079,plain,
a = multiply(inverse(sF1),multiply(a,sF1)),
inference(superposition,[],[f125,f8007]) ).
fof(f8007,plain,
multiply(sF1,a) = multiply(a,sF1),
inference(forward_demodulation,[],[f7978,f24]) ).
fof(f7978,plain,
multiply(sF1,a) = multiply(a,intersection(a,identity)),
inference(superposition,[],[f792,f2]) ).
fof(f436,plain,
! [X0,X1] : inverse(X1) = multiply(X0,inverse(multiply(X1,X0))),
inference(forward_demodulation,[],[f422,f5]) ).
fof(f422,plain,
! [X0,X1] : inverse(X1) = multiply(inverse(inverse(X0)),inverse(multiply(X1,X0))),
inference(superposition,[],[f125,f6]) ).
fof(f8997,plain,
multiply(inverse(a),a) = union(identity,multiply(inverse(a),sF1)),
inference(superposition,[],[f322,f72]) ).
fof(f72,plain,
a = union(a,sF1),
inference(superposition,[],[f46,f10]) ).
fof(f9875,plain,
intersection(sF2,sF2) = multiply(a,multiply(sF0,intersection(identity,multiply(sF1,inverse(a))))),
inference(forward_demodulation,[],[f9874,f8315]) ).
fof(f9874,plain,
intersection(sF2,sF2) = multiply(a,multiply(sF0,intersection(identity,multiply(inverse(a),sF1)))),
inference(forward_demodulation,[],[f9873,f9490]) ).
fof(f9490,plain,
! [X0] : multiply(sF0,intersection(a,X0)) = multiply(a,multiply(sF0,intersection(identity,multiply(inverse(a),X0)))),
inference(superposition,[],[f7817,f451]) ).
fof(f451,plain,
! [X0,X1] : multiply(inverse(X0),intersection(X0,X1)) = intersection(identity,multiply(inverse(X0),X1)),
inference(superposition,[],[f16,f2]) ).
fof(f9873,plain,
intersection(sF2,sF2) = multiply(sF0,intersection(a,sF1)),
inference(forward_demodulation,[],[f9839,f1132]) ).
fof(f1132,plain,
! [X0] : intersection(X0,sF1) = intersection(identity,intersection(X0,sF1)),
inference(superposition,[],[f52,f987]) ).
fof(f987,plain,
! [X0] : identity = union(intersection(X0,sF1),identity),
inference(superposition,[],[f148,f24]) ).
fof(f148,plain,
! [X2,X0,X1] : union(intersection(X0,intersection(X1,X2)),X2) = X2,
inference(superposition,[],[f13,f11]) ).
fof(f52,plain,
! [X0,X1] : intersection(union(X1,X0),X1) = X1,
inference(superposition,[],[f14,f10]) ).
fof(f9839,plain,
intersection(sF2,sF2) = multiply(sF0,intersection(identity,intersection(a,sF1))),
inference(superposition,[],[f481,f25]) ).
fof(f481,plain,
! [X0] : intersection(sF2,multiply(sF0,X0)) = multiply(sF0,intersection(identity,intersection(a,X0))),
inference(forward_demodulation,[],[f455,f134]) ).
fof(f134,plain,
! [X0] : intersection(identity,intersection(a,X0)) = intersection(sF1,X0),
inference(superposition,[],[f11,f34]) ).
fof(f455,plain,
! [X0] : multiply(sF0,intersection(sF1,X0)) = intersection(sF2,multiply(sF0,X0)),
inference(superposition,[],[f16,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.09 % Problem : GRP114-1 : TPTP v8.2.0. Released v1.2.0.
% 0.03/0.09 % Command : run_vampire %s %d THM
% 0.09/0.28 % Computer : n022.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.28 % WCLimit : 300
% 0.09/0.28 % DateTime : Thu Jun 20 11:01:24 EDT 2024
% 0.09/0.28 % CPUTime :
% 0.09/0.30 This is a CNF_UNS_RFO_PEQ_UEQ problem
% 0.09/0.30 Running first-order theorem proving
% 0.09/0.30 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32659)dis+10_28091:1048576_to=lpo:drc=encompass:sil=128000:tgt=full:erd=off:cond=on:i=107869:doe=on:ins=2:av=off:dpc=on:irc=eager:s2pl=on:s2agt=5:s2at=4.0:foolp=on_0 on theBenchmark for (3000ds/107869Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32663)lrs+10_2:1_to=lpo:drc=encompass:sil=4000:tgt=full:sp=const_min:urr=on:nwc=5.0:i=129:rawr=on_0 on theBenchmark for (3000ds/129Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32662)lrs+10_3:107_sil=64000:i=143:ss=axioms:sgt=16:rawr=on:to=lpo:drc=encompass_0 on theBenchmark for (3000ds/143Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32660)lrs+10_1:1_drc=encompass:sil=256000:tgt=ground:sp=unary_first:sos=on:i=220312:kws=precedence:lwlo=on:irc=lazy_0 on theBenchmark for (3000ds/220312Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32664)lrs+10_1:12_drc=encompass:sil=256000:tgt=full:spb=intro:i=735:kws=precedence:awrs=converge:awrsf=500:irc=lazy_0 on theBenchmark for (3000ds/735Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32661)lrs+10_16:1_sfv=off:sil=2000:sp=reverse_frequency:urr=ec_only:br=off:i=126:doe=on:irc=lazy:to=lpo:fd=preordered:bd=preordered:fsd=on:drc=encompass_0 on theBenchmark for (3000ds/126Mi)
% 0.15/0.36 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (32665)dis+10_577:524288_drc=encompass:sil=256000:sp=const_frequency:spb=units:i=214:doe=on:bd=off:av=off:dpc=on:irc=eager:uhcvi=on:ss=included:rawr=on:to=lpo:slsq=on:slsqr=8,31:s2agt=5:s2at=4.0:fdi=2_0 on theBenchmark for (3000ds/214Mi)
% 0.15/0.37 % (32660)Refutation not found, incomplete strategy% (32660)------------------------------
% 0.15/0.37 % (32660)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.37 % (32660)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.37 % (32660)Termination reason: Refutation not found, incomplete strategy
% 0.15/0.37
% 0.15/0.37 % (32660)Memory used [KB]: 827
% 0.15/0.37 % (32660)Time elapsed: 0.005 s
% 0.15/0.37 % (32660)Instructions burned: 4 (million)
% 0.15/0.37 % (32660)------------------------------
% 0.15/0.37 % (32660)------------------------------
% 0.15/0.40 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.40 % (32666)lrs+10_1:64_sil=8000:tgt=full:spb=non_intro:i=204:kws=precedence:plsq=on:awrs=converge:awrsf=30:sp=weighted_frequency:drc=encompass:irc=eager_0 on theBenchmark for (2999ds/204Mi)
% 0.15/0.43 % (32662)Instruction limit reached!
% 0.15/0.43 % (32662)------------------------------
% 0.15/0.43 % (32662)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.43 % (32662)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.43 % (32662)Termination reason: Time limit
% 0.15/0.43 % (32662)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (32662)Memory used [KB]: 1641
% 0.15/0.43 % (32662)Time elapsed: 0.067 s
% 0.15/0.43 % (32662)Instructions burned: 143 (million)
% 0.15/0.43 % (32663)Instruction limit reached!
% 0.15/0.43 % (32663)------------------------------
% 0.15/0.43 % (32663)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.43 % (32663)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.43 % (32663)Termination reason: Time limit
% 0.15/0.43 % (32663)Termination phase: Saturation
% 0.15/0.43
% 0.15/0.43 % (32663)Memory used [KB]: 2070
% 0.15/0.43 % (32663)Time elapsed: 0.073 s
% 0.15/0.43 % (32663)Instructions burned: 130 (million)
% 0.15/0.44 % (32661)Instruction limit reached!
% 0.15/0.44 % (32661)------------------------------
% 0.15/0.44 % (32661)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.44 % (32661)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.44 % (32661)Termination reason: Time limit
% 0.15/0.44 % (32661)Termination phase: Saturation
% 0.15/0.44
% 0.15/0.44 % (32661)Memory used [KB]: 2712
% 0.15/0.44 % (32661)Time elapsed: 0.074 s
% 0.15/0.44 % (32661)Instructions burned: 127 (million)
% 0.15/0.45 % (32665)Instruction limit reached!
% 0.15/0.45 % (32665)------------------------------
% 0.15/0.45 % (32665)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.45 % (32665)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.45 % (32665)Termination reason: Time limit
% 0.15/0.45 % (32665)Termination phase: Saturation
% 0.15/0.45
% 0.15/0.45 % (32665)Memory used [KB]: 2611
% 0.15/0.45 % (32665)Time elapsed: 0.085 s
% 0.15/0.45 % (32665)Instructions burned: 214 (million)
% 0.15/0.46 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.46 % (32667)lrs+10_1:1_to=lpo:drc=encompass:sil=2000:fde=unused:sp=const_min:i=444:fd=preordered:irc=eager:bd=preordered:ss=axioms_0 on theBenchmark for (2998ds/444Mi)
% 0.15/0.47 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.47 % (32668)lrs+10_3:58_drc=encompass:sil=256000:tgt=full:bsd=on:sp=reverse_arity:lwlo=on:s2a=on:i=365:s2at=2.0:kws=precedence:bsr=on:irw=on:dpc=on:fibus=on:doe=on:bs=on:br=off:erd=off:s2agt=20:nwc=8.95214440448525:cond=fast:foolp=on:spb=non_intro:sfv=off:irc=lazy:fde=unused:ins=3_0 on theBenchmark for (2998ds/365Mi)
% 0.15/0.47 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.47 % (32669)lrs+10_3:4_to=lpo:drc=encompass:sil=4000:sp=reverse_frequency:i=390:ss=axioms:sgt=16:s2a=on:s2at=3.0:irc=lazy:bd=off_0 on theBenchmark for (2998ds/390Mi)
% 0.15/0.47 % (32666)Instruction limit reached!
% 0.15/0.47 % (32666)------------------------------
% 0.15/0.47 % (32666)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.15/0.47 % (32666)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.15/0.47 % (32666)Termination reason: Time limit
% 0.15/0.47 % (32666)Termination phase: Saturation
% 0.15/0.47
% 0.15/0.47 % (32666)Memory used [KB]: 2865
% 0.15/0.47 % (32666)Time elapsed: 0.068 s
% 0.15/0.47 % (32666)Instructions burned: 204 (million)
% 0.15/0.48 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.48 % (32670)lrs+10_1:4_to=lpo:drc=encompass:sil=4000:tgt=full:i=2789:bd=preordered:fd=preordered_0 on theBenchmark for (2998ds/2789Mi)
% 0.15/0.50 % (32658)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.50 % (32671)lrs+10_1:3_drc=encompass:sil=256000:tgt=ground:sp=unary_first:i=975:ss=axioms:sgt=10:rawr=on:urr=on:ins=1:plsq=on:dpc=on:spb=intro:sd=4:fsr=off:bs=on:kws=inv_arity:irc=lazy:nwc=5.0_0 on theBenchmark for (2998ds/975Mi)
% 1.86/0.59 % (32669)Instruction limit reached!
% 1.86/0.59 % (32669)------------------------------
% 1.86/0.59 % (32669)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.59 % (32669)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.59 % (32669)Termination reason: Time limit
% 1.86/0.59 % (32669)Termination phase: Saturation
% 1.86/0.59
% 1.86/0.59 % (32669)Memory used [KB]: 4481
% 1.86/0.59 % (32669)Time elapsed: 0.137 s
% 1.86/0.59 % (32669)Instructions burned: 392 (million)
% 1.86/0.60 % (32668)Instruction limit reached!
% 1.86/0.60 % (32668)------------------------------
% 1.86/0.60 % (32668)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.60 % (32668)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.60 % (32668)Termination reason: Time limit
% 1.86/0.60 % (32668)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (32668)Memory used [KB]: 5299
% 1.86/0.60 % (32668)Time elapsed: 0.151 s
% 1.86/0.60 % (32668)Instructions burned: 365 (million)
% 1.86/0.60 % (32667)Instruction limit reached!
% 1.86/0.60 % (32667)------------------------------
% 1.86/0.60 % (32667)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.86/0.60 % (32667)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.86/0.60 % (32667)Termination reason: Time limit
% 1.86/0.60 % (32667)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (32667)Memory used [KB]: 4729
% 1.86/0.60 % (32667)Time elapsed: 0.162 s
% 1.86/0.60 % (32667)Instructions burned: 447 (million)
% 2.24/0.63 % (32658)Running in auto input_syntax mode. Trying TPTP
% 2.24/0.63 % (32672)lrs+10_1:24_drc=encompass:sil=256000:tgt=full:sp=unary_frequency:spb=non_intro:i=6970:ins=2:fsr=off:kws=precedence:irc=eager:bsr=unit_only:br=off:ss=included:sgt=16:bd=preordered_0 on theBenchmark for (2997ds/6970Mi)
% 2.24/0.63 % (32664)Instruction limit reached!
% 2.24/0.63 % (32664)------------------------------
% 2.24/0.63 % (32664)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.24/0.63 % (32664)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.24/0.63 % (32664)Termination reason: Time limit
% 2.24/0.63 % (32664)Termination phase: Saturation
% 2.24/0.63
% 2.24/0.63 % (32664)Memory used [KB]: 7984
% 2.24/0.63 % (32664)Time elapsed: 0.268 s
% 2.24/0.63 % (32664)Instructions burned: 736 (million)
% 2.24/0.63 % (32658)Running in auto input_syntax mode. Trying TPTP
% 2.24/0.63 % (32673)lrs+10_7:24_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:i=522:irc=lazy:slsq=on:fdi=256:nwc=10.0:dpc=on:ss=included:st=2.0_0 on theBenchmark for (2997ds/522Mi)
% 2.24/0.63 % (32658)Running in auto input_syntax mode. Trying TPTP
% 2.24/0.63 % (32674)lrs+10_1:1024_drc=encompass:sil=8000:tgt=ground:fde=unused:sp=const_min:spb=goal:kmz=on:i=1381:kws=inv_arity:awrs=converge:awrsf=200:irc=eager_0 on theBenchmark for (2997ds/1381Mi)
% 2.36/0.66 % (32658)Running in auto input_syntax mode. Trying TPTP
% 2.36/0.66 % (32675)lrs+10_1:4_to=lpo:drc=encompass:sil=128000:fde=unused:sp=const_min:spb=goal:fd=preordered:i=589:irc=lazy:slsq=on:slsqr=1,4_0 on theBenchmark for (2996ds/589Mi)
% 2.58/0.73 % (32670)First to succeed.
% 2.58/0.73 % (32670)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32658"
% 2.58/0.73 % (32658)Running in auto input_syntax mode. Trying TPTP
% 2.58/0.73 % (32670)Refutation found. Thanks to Tanya!
% 2.58/0.73 % SZS status Unsatisfiable for theBenchmark
% 2.58/0.73 % SZS output start Proof for theBenchmark
% See solution above
% 2.58/0.73 % (32670)------------------------------
% 2.58/0.73 % (32670)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.58/0.73 % (32670)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.58/0.73 % (32670)Termination reason: Refutation
% 2.58/0.73
% 2.58/0.73 % (32670)Memory used [KB]: 7303
% 2.58/0.73 % (32670)Time elapsed: 0.276 s
% 2.58/0.73 % (32670)Instructions burned: 784 (million)
% 2.58/0.73 % (32670)------------------------------
% 2.58/0.73 % (32670)------------------------------
% 2.58/0.73 % (32658)Success in time 0.43 s
%------------------------------------------------------------------------------