%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP438-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:14:00 AM UTC 2026
% Result : Unsatisfiable 13.73s 3.16s
% Output : Refutation 16.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 2
% Syntax : Number of formulae : 122 ( 122 unt; 0 def)
% Number of atoms : 122 ( 121 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 505 ( 505 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X0))))) = X3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,X2))),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(X0)),X1))))) = X4,
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X0,X3))),inverse(X4))),multiply(X4,multiply(X0,X1))))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,X4))),X3)))) = multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X6))),multiply(X6,multiply(X3,X1))))),
inference(superposition,[],[f4,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X3,X0))),inverse(X2))) = multiply(X1,inverse(multiply(multiply(X2,multiply(X3,inverse(X4))),multiply(X4,multiply(X0,X1))))),
inference(superposition,[],[f1,f4]) ).
fof(f101,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X1),inverse(multiply(X4,multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))))) = X2,
inference(superposition,[],[f1,f15]) ).
fof(f115,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),X2))),inverse(X1))) = X3,
inference(superposition,[],[f4,f15]) ).
fof(f116,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,multiply(inverse(X2),inverse(multiply(X3,multiply(X4,multiply(X1,inverse(X2))))))))),inverse(X4))) = X3,
inference(superposition,[],[f1,f15]) ).
fof(f188,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(multiply(inverse(X2),inverse(multiply(X0,multiply(X1,multiply(X3,inverse(X2)))))),X0))) = X3,
inference(superposition,[],[f101,f1]) ).
fof(f222,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),inverse(multiply(X2,multiply(X3,multiply(X0,inverse(X4)))))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(X0,X1))))),
inference(superposition,[],[f1,f188]) ).
fof(f254,plain,
! [X2,X3,X0,X1,X5] : multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))) = multiply(X5,inverse(multiply(X1,multiply(X2,multiply(X3,X5))))),
inference(superposition,[],[f222,f222]) ).
fof(f282,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X4,inverse(multiply(multiply(X2,multiply(X3,inverse(X5))),multiply(X5,multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X4))))) = X1,
inference(superposition,[],[f1,f222]) ).
fof(f603,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(X3,X6)))) = multiply(X4,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))))),inverse(X7))),multiply(X7,multiply(X6,X4))))),
inference(superposition,[],[f4,f254]) ).
fof(f855,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))) = X3,
inference(superposition,[],[f4,f6]) ).
fof(f948,plain,
! [X2,X3,X0,X1,X4] : multiply(multiply(inverse(X4),inverse(multiply(X2,X0))),inverse(X1)) = inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X0,X4)))),
inference(superposition,[],[f855,f4]) ).
fof(f952,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,multiply(X2,X3)))),inverse(X4))),multiply(X4,multiply(X0,X2)))) = X3,
inference(superposition,[],[f855,f1]) ).
fof(f959,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X1),inverse(multiply(X0,multiply(X2,multiply(multiply(inverse(X2),X3),inverse(X1)))))),X0)) = X3,
inference(superposition,[],[f855,f116]) ).
fof(f1000,plain,
! [X0,X1,X6,X5] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X0,inverse(multiply(X5,X6))),X5))),X0)) = X6,
inference(superposition,[],[f115,f855]) ).
fof(f1052,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X2)) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X0))))))),X2)),
inference(superposition,[],[f1000,f3]) ).
fof(f1128,plain,
! [X2,X1,X6,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),X2)) = multiply(X1,multiply(multiply(inverse(X1),inverse(X5)),X2)),
inference(forward_demodulation,[],[f1052,f1]) ).
fof(f1179,plain,
! [X0,X1,X6,X5] : multiply(X1,multiply(multiply(inverse(X1),X0),X5)) = multiply(X6,multiply(multiply(inverse(X6),X0),X5)),
inference(superposition,[],[f1128,f855]) ).
fof(f1760,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X3),X0))))),X1)) = X3,
inference(superposition,[],[f959,f254]) ).
fof(f1776,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : multiply(X6,inverse(multiply(multiply(X7,multiply(multiply(inverse(X7),inverse(multiply(inverse(X3),inverse(multiply(X1,multiply(X4,multiply(multiply(inverse(X4),X0),inverse(X3)))))))),inverse(X8))),multiply(X8,multiply(X5,X6))))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X0),X5)))),
inference(superposition,[],[f6,f959]) ).
fof(f1832,plain,
! [X2,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),X0),X5)))) = inverse(multiply(X1,multiply(X4,multiply(multiply(inverse(X4),X0),X5)))),
inference(forward_demodulation,[],[f1776,f603]) ).
fof(f2708,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(multiply(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2),multiply(multiply(X0,inverse(multiply(X4,multiply(X5,X6)))),inverse(X7))),multiply(X7,multiply(X4,X5)))) = X6,
inference(superposition,[],[f952,f1760]) ).
fof(f2746,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(X5),X2),X3) = inverse(multiply(multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),X3))))),inverse(X6))),multiply(X6,multiply(X0,X5)))),
inference(superposition,[],[f952,f1832]) ).
fof(f2928,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(X5),X2),X3) = multiply(multiply(inverse(X5),inverse(multiply(multiply(inverse(X4),inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),X3))))),X0))),inverse(X4)),
inference(forward_demodulation,[],[f2746,f948]) ).
fof(f2966,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(multiply(inverse(X5),inverse(multiply(multiply(X0,inverse(multiply(X4,multiply(X5,X6)))),X4))),inverse(multiply(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))),X2))) = X6,
inference(forward_demodulation,[],[f2708,f948]) ).
fof(f2989,plain,
! [X0,X6,X4,X5] : multiply(multiply(inverse(X5),inverse(multiply(multiply(X0,inverse(multiply(X4,multiply(X5,X6)))),X4))),X0) = X6,
inference(forward_demodulation,[],[f2966,f1760]) ).
fof(f3088,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X1,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X6))),multiply(X6,multiply(multiply(inverse(X3),inverse(multiply(multiply(X4,inverse(multiply(X5,multiply(X3,X0)))),X5))),X1))))) = X4,
inference(superposition,[],[f4,f2989]) ).
fof(f3100,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X5,inverse(multiply(X2,multiply(X3,X0)))) = multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X4),inverse(multiply(multiply(X5,inverse(multiply(X6,multiply(X4,X0)))),X6))),X1))))),
inference(superposition,[],[f254,f2989]) ).
fof(f3156,plain,
! [X2,X0,X6,X4] : multiply(X4,inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X6))),multiply(X6,X0)))) = X4,
inference(forward_demodulation,[],[f3088,f3100]) ).
fof(f3177,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : multiply(X4,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),X3))))),inverse(X7))),multiply(X7,multiply(X0,multiply(X6,multiply(multiply(inverse(X6),X2),X3))))))) = X4,
inference(superposition,[],[f3156,f1832]) ).
fof(f3351,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X0,multiply(inverse(X0),X1)) = multiply(X5,multiply(multiply(inverse(X5),X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3))))),
inference(superposition,[],[f1179,f3156]) ).
fof(f3363,plain,
! [X0,X1,X5] : multiply(X5,multiply(inverse(X5),X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f3351,f3156]) ).
fof(f3425,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X4,multiply(multiply(inverse(multiply(X6,multiply(multiply(inverse(X6),X2),X3))),inverse(multiply(multiply(inverse(X5),inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),X2),X3))))),X0))),inverse(X5))) = X4,
inference(forward_demodulation,[],[f3177,f948]) ).
fof(f3439,plain,
! [X2,X3,X6,X4] : multiply(X4,multiply(multiply(inverse(multiply(X6,multiply(multiply(inverse(X6),X2),X3))),X2),X3)) = X4,
inference(forward_demodulation,[],[f3425,f2928]) ).
fof(f3497,plain,
! [X2,X3,X0,X1,X4] : multiply(X0,inverse(X0)) = multiply(X1,multiply(inverse(X1),inverse(multiply(multiply(X2,multiply(multiply(inverse(X2),inverse(X3)),inverse(X4))),multiply(X4,X3))))),
inference(superposition,[],[f3363,f3156]) ).
fof(f3741,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f3497,f3156]) ).
fof(f4023,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X5,multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),X1),multiply(multiply(inverse(multiply(X2,multiply(multiply(inverse(X2),X3),X4))),X3),X4)))),X1)) = X5,
inference(superposition,[],[f3439,f3439]) ).
fof(f4176,plain,
! [X0,X1,X5] : multiply(X5,multiply(inverse(multiply(X0,multiply(inverse(X0),X1))),X1)) = X5,
inference(forward_demodulation,[],[f4023,f3439]) ).
fof(f4247,plain,
! [X2,X3,X0,X1] : multiply(X3,inverse(multiply(X0,multiply(inverse(X0),multiply(inverse(multiply(X1,multiply(inverse(X1),X2))),X2))))) = X3,
inference(superposition,[],[f4176,f4176]) ).
fof(f4379,plain,
! [X3,X0] : multiply(X3,inverse(multiply(X0,inverse(X0)))) = X3,
inference(forward_demodulation,[],[f4247,f4176]) ).
fof(f4409,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,X2))),X0)),
inference(superposition,[],[f1000,f4379]) ).
fof(f4608,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3)))) = multiply(X3,multiply(X0,inverse(multiply(X4,multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),X0)))))),
inference(superposition,[],[f4409,f3]) ).
fof(f4614,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f4409,f4379]) ).
fof(f4746,plain,
! [X2,X3,X1] : multiply(X3,X2) = inverse(multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),inverse(X3)))),
inference(forward_demodulation,[],[f4608,f1]) ).
fof(f4773,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0)))))) = inverse(inverse(inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X4))))))),
inference(superposition,[],[f4614,f254]) ).
fof(f4787,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = inverse(inverse(inverse(inverse(X1)))),
inference(superposition,[],[f4614,f3741]) ).
fof(f4800,plain,
! [X0,X1] : multiply(X1,inverse(inverse(X0))) = inverse(inverse(multiply(inverse(inverse(X1)),X0))),
inference(superposition,[],[f4614,f4614]) ).
fof(f4819,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X3,multiply(multiply(inverse(X3),X1),X2)))) = inverse(inverse(inverse(multiply(multiply(inverse(inverse(X0)),X1),X2)))),
inference(superposition,[],[f1832,f4614]) ).
fof(f4829,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),X3))),inverse(X2))),inverse(inverse(X0))))) = X3,
inference(superposition,[],[f4,f4614]) ).
fof(f4839,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),multiply(X0,X3)))),inverse(X2))),inverse(inverse(X0)))) = X3,
inference(superposition,[],[f952,f4614]) ).
fof(f4843,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,inverse(multiply(inverse(inverse(inverse(X0))),multiply(X0,multiply(multiply(X3,inverse(multiply(X4,multiply(X2,multiply(inverse(X2),X3))))),X1))))) = X4,
inference(superposition,[],[f282,f4614]) ).
fof(f4847,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(inverse(X2),X3))),inverse(X2))) = multiply(X4,inverse(multiply(inverse(inverse(inverse(X0))),multiply(X0,multiply(X3,X4))))),
inference(superposition,[],[f15,f4614]) ).
fof(f4867,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),X0) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(X0)),X1))),X3)))),
inference(superposition,[],[f855,f4614]) ).
fof(f4919,plain,
! [X3,X0,X4] : inverse(X3) = multiply(X4,inverse(multiply(inverse(inverse(inverse(X0))),multiply(X0,multiply(X3,X4))))),
inference(forward_demodulation,[],[f4847,f4409]) ).
fof(f4923,plain,
! [X3,X0,X1,X4] : multiply(X1,inverse(multiply(inverse(inverse(inverse(X0))),multiply(X0,multiply(multiply(X3,inverse(multiply(X4,inverse(inverse(X3))))),X1))))) = X4,
inference(forward_demodulation,[],[f4843,f4614]) ).
fof(f4926,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(X0,X3)),inverse(inverse(X0)))) = X3,
inference(forward_demodulation,[],[f4839,f4409]) ).
fof(f4932,plain,
! [X3,X0] : multiply(X0,inverse(multiply(inverse(X3),inverse(inverse(X0))))) = X3,
inference(forward_demodulation,[],[f4829,f4409]) ).
fof(f4964,plain,
! [X3,X4] : inverse(multiply(X3,inverse(multiply(X4,inverse(inverse(X3)))))) = X4,
inference(forward_demodulation,[],[f4923,f4919]) ).
fof(f5000,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X0),X3))),X2)) = inverse(multiply(X0,inverse(inverse(X3)))),
inference(superposition,[],[f1000,f4964]) ).
fof(f5002,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(inverse(X1))))) = multiply(X2,multiply(multiply(inverse(X2),X0),X1)),
inference(superposition,[],[f4409,f4964]) ).
fof(f5012,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))) = multiply(X5,inverse(multiply(multiply(multiply(X6,inverse(multiply(X0,inverse(inverse(X6))))),multiply(multiply(X0,inverse(X3)),inverse(X7))),multiply(X7,multiply(X4,X5))))),
inference(superposition,[],[f6,f4964]) ).
fof(f5077,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))) = multiply(X5,multiply(multiply(inverse(X5),inverse(multiply(multiply(X0,inverse(X3)),X4))),inverse(multiply(X6,inverse(multiply(X0,inverse(inverse(X6)))))))),
inference(forward_demodulation,[],[f5012,f948]) ).
fof(f5084,plain,
! [X2,X3,X0] : inverse(multiply(X0,inverse(inverse(X3)))) = inverse(inverse(multiply(inverse(multiply(multiply(X2,X0),X3)),inverse(inverse(X2))))),
inference(forward_demodulation,[],[f5000,f5002]) ).
fof(f5111,plain,
! [X2,X3,X0,X1,X6,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))) = inverse(inverse(multiply(inverse(multiply(multiply(X0,inverse(X3)),X4)),inverse(inverse(inverse(multiply(X6,inverse(multiply(X0,inverse(inverse(X6))))))))))),
inference(forward_demodulation,[],[f5077,f5002]) ).
fof(f5128,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))) = inverse(inverse(multiply(inverse(multiply(multiply(X0,inverse(X3)),X4)),inverse(inverse(X0))))),
inference(forward_demodulation,[],[f5111,f4964]) ).
fof(f5137,plain,
! [X2,X3,X1,X4] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(X3,X1))),X4)))) = inverse(multiply(inverse(X3),inverse(inverse(X4)))),
inference(forward_demodulation,[],[f5128,f5084]) ).
fof(f5141,plain,
! [X3,X1,X4] : inverse(inverse(inverse(multiply(multiply(inverse(inverse(X1)),inverse(multiply(X3,X1))),X4)))) = inverse(multiply(inverse(X3),inverse(inverse(X4)))),
inference(forward_demodulation,[],[f5137,f4819]) ).
fof(f5765,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(X2,multiply(X3,multiply(multiply(inverse(X3),X0),X1))))))))) = X2,
inference(superposition,[],[f4926,f1760]) ).
fof(f5766,plain,
! [X0,X1] : inverse(inverse(X1)) = inverse(multiply(X0,inverse(inverse(inverse(multiply(X1,X0)))))),
inference(superposition,[],[f4926,f4926]) ).
fof(f5808,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),multiply(multiply(X0,inverse(multiply(X2,multiply(inverse(X3),inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X3))))))))),inverse(X5))) = X4,
inference(superposition,[],[f116,f4926]) ).
fof(f5846,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(multiply(inverse(X3),inverse(X2)),X0))) = multiply(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),X2),
inference(superposition,[],[f4746,f4926]) ).
fof(f5850,plain,
! [X2,X0,X1] : inverse(inverse(inverse(multiply(inverse(X2),inverse(inverse(X0)))))) = multiply(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),X2),
inference(forward_demodulation,[],[f5846,f5002]) ).
fof(f5872,plain,
! [X2,X0,X1,X4,X5] : multiply(multiply(inverse(multiply(X1,X0)),inverse(inverse(X1))),multiply(multiply(X0,inverse(inverse(inverse(inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X2))))))))),inverse(X5))) = X4,
inference(forward_demodulation,[],[f5808,f4773]) ).
fof(f5907,plain,
! [X2,X0,X1] : inverse(multiply(X0,inverse(inverse(multiply(X1,inverse(inverse(inverse(multiply(multiply(inverse(inverse(X2)),X0),X1))))))))) = X2,
inference(forward_demodulation,[],[f5765,f4819]) ).
fof(f5951,plain,
! [X2,X0,X4,X5] : inverse(inverse(inverse(multiply(inverse(multiply(multiply(X0,inverse(inverse(inverse(inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X2))))))))),inverse(X5))),inverse(inverse(X0)))))) = X4,
inference(forward_demodulation,[],[f5872,f5850]) ).
fof(f5981,plain,
! [X2,X0] : inverse(multiply(X0,inverse(inverse(inverse(multiply(inverse(inverse(X2)),X0)))))) = X2,
inference(forward_demodulation,[],[f5907,f5766]) ).
fof(f6001,plain,
! [X2,X4,X5] : inverse(inverse(multiply(inverse(inverse(inverse(inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X2)))))))),inverse(inverse(inverse(X5)))))) = X4,
inference(forward_demodulation,[],[f5951,f5084]) ).
fof(f6021,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f5981,f5766]) ).
fof(f6028,plain,
! [X2,X4,X5] : multiply(inverse(inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X2)))))),inverse(inverse(inverse(inverse(inverse(X5)))))) = X4,
inference(forward_demodulation,[],[f6001,f4800]) ).
fof(f6041,plain,
! [X2,X4,X5] : multiply(inverse(inverse(multiply(X4,multiply(X5,multiply(X2,inverse(X2)))))),inverse(X5)) = X4,
inference(forward_demodulation,[],[f6028,f6021]) ).
fof(f6050,plain,
! [X4,X5] : multiply(inverse(inverse(multiply(X4,inverse(inverse(inverse(inverse(X5))))))),inverse(X5)) = X4,
inference(forward_demodulation,[],[f6041,f4787]) ).
fof(f6053,plain,
! [X4,X5] : multiply(inverse(inverse(multiply(X4,X5))),inverse(X5)) = X4,
inference(forward_demodulation,[],[f6050,f6021]) ).
fof(f6077,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(inverse(X0))),X1))),X3)))) = multiply(X4,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),X0),inverse(X6))),multiply(X6,multiply(X3,X4))))),
inference(superposition,[],[f6,f6021]) ).
fof(f6161,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(inverse(X0))),X1))),X3)))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),X0),X3))),inverse(X5))),
inference(forward_demodulation,[],[f6077,f948]) ).
fof(f6193,plain,
! [X2,X3,X0,X1,X5] : inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(inverse(X0))),X1))),X3)))) = inverse(inverse(multiply(inverse(multiply(multiply(inverse(X5),X0),X3)),inverse(inverse(inverse(X5)))))),
inference(forward_demodulation,[],[f6161,f5002]) ).
fof(f6213,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,inverse(inverse(X3)))) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(inverse(inverse(inverse(X0))),X1))),X3)))),
inference(forward_demodulation,[],[f6193,f5084]) ).
fof(f6227,plain,
! [X3,X0] : multiply(inverse(X3),inverse(X0)) = inverse(multiply(X0,inverse(inverse(X3)))),
inference(forward_demodulation,[],[f6213,f4867]) ).
fof(f6257,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(inverse(inverse(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))))),inverse(inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(X2)),inverse(X6))),multiply(X6,multiply(X3,X4)))))) = X4,
inference(superposition,[],[f6053,f6]) ).
fof(f6269,plain,
! [X0,X1] : inverse(inverse(multiply(X0,X1))) = multiply(inverse(inverse(X0)),inverse(inverse(X1))),
inference(superposition,[],[f6053,f6053]) ).
fof(f6296,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(inverse(inverse(X1)))),
inference(superposition,[],[f6053,f4926]) ).
fof(f6332,plain,
! [X0,X1] : multiply(X1,inverse(X0)) = inverse(multiply(X0,inverse(X1))),
inference(superposition,[],[f4932,f6053]) ).
fof(f6335,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),X3)) = multiply(inverse(multiply(X0,X2)),multiply(X0,X3)),
inference(superposition,[],[f1179,f6053]) ).
fof(f6350,plain,
! [X0,X1] : inverse(multiply(X1,inverse(X0))) = inverse(inverse(multiply(X0,inverse(X1)))),
inference(superposition,[],[f4964,f6053]) ).
fof(f6354,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(X1,inverse(X1))))) = X0,
inference(superposition,[],[f4379,f6053]) ).
fof(f6404,plain,
! [X0] : inverse(inverse(inverse(inverse(inverse(inverse(X0)))))) = X0,
inference(forward_demodulation,[],[f6354,f4787]) ).
fof(f6418,plain,
! [X2,X3,X0] : inverse(inverse(multiply(inverse(X2),inverse(inverse(X3))))) = multiply(inverse(multiply(X0,X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f6335,f5002]) ).
fof(f6484,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(X2)),inverse(X6))),multiply(X6,multiply(X3,X4)))))) = X4,
inference(forward_demodulation,[],[f6257,f6269]) ).
fof(f6513,plain,
! [X0] : inverse(inverse(X0)) = X0,
inference(forward_demodulation,[],[f6404,f6021]) ).
fof(f6523,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X3),inverse(inverse(X2)))) = multiply(inverse(multiply(X0,X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f6418,f6350]) ).
fof(f6585,plain,
! [X2,X3,X0,X1,X6,X4] : inverse(inverse(multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X6)))))),multiply(X6,multiply(X3,X4)))))) = X4,
inference(forward_demodulation,[],[f6484,f5002]) ).
fof(f6619,plain,
! [X2,X3,X0] : multiply(inverse(X2),inverse(inverse(X3))) = multiply(inverse(multiply(X0,X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f6523,f6227]) ).
fof(f6675,plain,
! [X2,X3,X0,X1,X6,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(inverse(inverse(multiply(inverse(X2),inverse(inverse(inverse(X6)))))),multiply(X6,multiply(X3,X4)))) = X4,
inference(forward_demodulation,[],[f6585,f6513]) ).
fof(f6707,plain,
! [X2,X3,X0] : multiply(inverse(X2),X3) = multiply(inverse(multiply(X0,X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f6619,f6513]) ).
fof(f6744,plain,
! [X2,X3,X0,X1,X6,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(inverse(multiply(inverse(inverse(X6)),inverse(inverse(X2)))),multiply(X6,multiply(X3,X4)))) = X4,
inference(forward_demodulation,[],[f6675,f6350]) ).
fof(f6797,plain,
! [X2,X3,X0,X1,X6,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(multiply(inverse(X2),inverse(inverse(inverse(X6)))),multiply(X6,multiply(X3,X4)))) = X4,
inference(forward_demodulation,[],[f6744,f6227]) ).
fof(f6840,plain,
! [X2,X3,X0,X1,X6,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(inverse(multiply(X6,X2)),multiply(X6,multiply(X3,X4)))) = X4,
inference(forward_demodulation,[],[f6797,f6296]) ).
fof(f6868,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X0))),X3)))),multiply(inverse(X2),multiply(X3,X4))) = X4,
inference(forward_demodulation,[],[f6840,f6707]) ).
fof(f6885,plain,
! [X2,X3,X0,X4] : multiply(inverse(inverse(inverse(multiply(multiply(inverse(inverse(X0)),inverse(multiply(X2,X0))),X3)))),multiply(inverse(X2),multiply(X3,X4))) = X4,
inference(forward_demodulation,[],[f6868,f4819]) ).
fof(f6897,plain,
! [X2,X3,X4] : multiply(inverse(multiply(inverse(X2),inverse(inverse(X3)))),multiply(inverse(X2),multiply(X3,X4))) = X4,
inference(forward_demodulation,[],[f6885,f5141]) ).
fof(f6906,plain,
! [X3,X4] : multiply(inverse(inverse(inverse(X3))),multiply(X3,X4)) = X4,
inference(forward_demodulation,[],[f6897,f6707]) ).
fof(f6914,plain,
! [X3,X4] : multiply(inverse(X3),multiply(X3,X4)) = X4,
inference(forward_demodulation,[],[f6906,f6513]) ).
fof(f6992,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,X3)) = multiply(X1,multiply(multiply(inverse(X1),multiply(X2,X0)),X3)),
inference(superposition,[],[f1179,f6914]) ).
fof(f7138,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = inverse(inverse(multiply(multiply(X2,X0),inverse(inverse(X3))))),
inference(forward_demodulation,[],[f6992,f5002]) ).
fof(f7253,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = inverse(multiply(inverse(X3),inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f7138,f6350]) ).
fof(f7355,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = multiply(multiply(X2,X0),inverse(inverse(X3))),
inference(forward_demodulation,[],[f7253,f6332]) ).
fof(f7444,plain,
! [X2,X3,X0] : multiply(X2,multiply(X0,X3)) = multiply(multiply(X2,X0),X3),
inference(forward_demodulation,[],[f7355,f6513]) ).
fof(f7948,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f7444]) ).
fof(f8079,plain,
$false,
inference(trivial_inequality_removal,[],[f7948]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP438-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 10:09:32 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.73/3.16 % (2393217)Detected a unit-equality problem, will run specialized UEQ schedule.
% 13.73/3.16 % (2393252)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2854636969:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 13.73/3.16 % (2393248)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3866356152:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 13.73/3.16 % (2393250)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1638584671:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 13.73/3.16 % (2393249)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1751256950:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 13.73/3.16 % (2393253)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1293689648:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 13.73/3.16 % (2393247)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3771045324:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 13.73/3.16 % (2393251)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4091371313:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 13.73/3.16 % (2393252)Instruction limit reached!
% 13.73/3.16 % (2393252)------------------------------
% 13.73/3.16 % (2393252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393252)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393252)Termination reason: Instruction limit
% 13.73/3.16 % (2393252)Termination phase: Saturation
% 13.73/3.16 % (2393252)Time elapsed: 0.125 s
% 13.73/3.16 % (2393252)Peak memory usage: 91 MB
% 13.73/3.16 % (2393252)Instructions burned: 257 (million)
% 13.73/3.16 % (2393250)Instruction limit reached!
% 13.73/3.16 % (2393250)------------------------------
% 13.73/3.16 % (2393250)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393250)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393250)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393250)Termination reason: Instruction limit
% 13.73/3.16 % (2393250)Termination phase: Saturation
% 13.73/3.16 % (2393250)Time elapsed: 0.125 s
% 13.73/3.16 % (2393250)Peak memory usage: 89 MB
% 13.73/3.16 % (2393250)Instructions burned: 136 (million)
% 13.73/3.16 % (2393251)Instruction limit reached!
% 13.73/3.16 % (2393251)------------------------------
% 13.73/3.16 % (2393251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393251)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393251)Termination reason: Instruction limit
% 13.73/3.16 % (2393251)Termination phase: Saturation
% 13.73/3.16 % (2393251)Time elapsed: 0.166 s
% 13.73/3.16 % (2393251)Peak memory usage: 89 MB
% 13.73/3.16 % (2393251)Instructions burned: 181 (million)
% 13.73/3.16 % (2393263)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1775624501:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 13.73/3.16 % (2393264)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1448588455:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 13.73/3.16 % (2393267)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2963321695:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 13.73/3.16 % (2393267)Instruction limit reached!
% 13.73/3.16 % (2393267)------------------------------
% 13.73/3.16 % (2393267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393267)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393267)Termination reason: Instruction limit
% 13.73/3.16 % (2393267)Termination phase: Saturation
% 13.73/3.16 % (2393267)Time elapsed: 0.201 s
% 13.73/3.16 % (2393267)Peak memory usage: 90 MB
% 13.73/3.16 % (2393267)Instructions burned: 216 (million)
% 13.73/3.16 % (2393277)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=1809163947:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 13.73/3.16 % (2393253)Instruction limit reached!
% 13.73/3.16 % (2393253)------------------------------
% 13.73/3.16 % (2393253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393253)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393253)Termination reason: Instruction limit
% 13.73/3.16 % (2393253)Termination phase: Saturation
% 13.73/3.16 % (2393253)Time elapsed: 1.039 s
% 13.73/3.16 % (2393253)Peak memory usage: 98 MB
% 13.73/3.16 % (2393253)Instructions burned: 1187 (million)
% 13.73/3.16 % (2393277)Instruction limit reached!
% 13.73/3.16 % (2393277)------------------------------
% 13.73/3.16 % (2393277)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393277)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393277)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393277)Termination reason: Instruction limit
% 13.73/3.16 % (2393277)Termination phase: Saturation
% 13.73/3.16 % (2393277)Time elapsed: 0.314 s
% 13.73/3.16 % (2393277)Peak memory usage: 92 MB
% 13.73/3.16 % (2393277)Instructions burned: 317 (million)
% 13.73/3.16 % (2393279)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=262035003:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 13.73/3.16 % (2393281)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2109360271:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 13.73/3.16 % (2393248)First to succeed.
% 13.73/3.16 % (2393248)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2393217"
% 13.73/3.16 % (2393263)Instruction limit reached!
% 13.73/3.16 % (2393263)------------------------------
% 13.73/3.16 % (2393263)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.73/3.16 % (2393263)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.73/3.16 % (2393263)CaDiCaL version: 2.1.3
% 13.73/3.16 % (2393263)Termination reason: Instruction limit
% 13.73/3.16 % (2393263)Termination phase: Saturation
% 13.73/3.16 % (2393263)Time elapsed: 1.656 s
% 13.73/3.16 % (2393263)Peak memory usage: 139 MB
% 13.73/3.16 % (2393263)Instructions burned: 2051 (million)
% 13.73/3.16 % (2393248)Refutation found. Thanks to Tanya!
% 13.73/3.16 % SZS status Unsatisfiable for theBenchmark
% 13.73/3.16 % SZS output start Proof for theBenchmark
% See solution above
% 16.29/3.34 % (2393248)------------------------------
% 16.29/3.34 % (2393248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.29/3.34 % (2393248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/3.34 % (2393248)CaDiCaL version: 2.1.3
% 16.29/3.34 % (2393248)Termination reason: Refutation
% 16.29/3.34 % (2393248)Time elapsed: 1.765 s
% 16.29/3.34 % (2393248)Peak memory usage: 150 MB
% 16.29/3.34 % (2393248)Instructions burned: 3034 (million)
% 16.29/3.34 % (2393248)------------------------------
% 16.29/3.34 % (2393248)------------------------------
% 16.29/3.34 % (2393217)Success in time 2.201 s
% 16.29/3.34 % Vampire exiting
%------------------------------------------------------------------------------