%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 10:12:15 AM UTC 2026
% Result : Unsatisfiable 18.93s 3.65s
% Output : Refutation 19.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 2
% Syntax : Number of formulae : 83 ( 81 unt; 0 def)
% Number of atoms : 87 ( 86 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 265 ( 265 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0)))))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f3,plain,
( multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3))
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(inverse(a1),a1) != multiply(inverse(b1),b1) ),
inference(reorient_equations,[],[f2]) ).
fof(f5,plain,
! [X2,X3,X0,X1,X4] : multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(X0)))),inverse(multiply(inverse(X3),X3))))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f1]) ).
fof(f25,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,X2))),inverse(multiply(inverse(X0),X0))))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f28,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(inverse(X2))))),inverse(multiply(inverse(X0),X0))))) = X2,
inference(superposition,[],[f1,f5]) ).
fof(f67,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(X0))))),inverse(multiply(inverse(X2),X2))) = inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),X0)),inverse(multiply(inverse(X1),X1)))))),
inference(superposition,[],[f1,f28]) ).
fof(f115,plain,
! [X2,X0,X1] : multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0)))))))) = X2,
inference(superposition,[],[f28,f67]) ).
fof(f117,plain,
! [X2,X0,X1] : inverse(X2) = inverse(multiply(X1,inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),X2)),inverse(multiply(inverse(X0),X0))))))))),
inference(superposition,[],[f1,f67]) ).
fof(f129,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(X2))))))),inverse(multiply(inverse(X1),X1))) = X2,
inference(superposition,[],[f1,f67]) ).
fof(f130,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,X2)))))),inverse(multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f25,f67]) ).
fof(f339,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(X1,X2)))),multiply(X3,inverse(X0)))),inverse(multiply(inverse(inverse(multiply(X1,X2))),inverse(multiply(X1,X2)))))) = multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(X0,inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[],[f115,f1]) ).
fof(f342,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(X0),inverse(multiply(inverse(X2),X2)))))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),X0)),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f115,f117]) ).
fof(f603,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,X1)),multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1))))))))) = X2,
inference(superposition,[],[f115,f342]) ).
fof(f691,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(multiply(X3,X2)),multiply(X3,X0)),
inference(superposition,[],[f603,f25]) ).
fof(f770,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X3)) = multiply(X0,multiply(inverse(multiply(inverse(multiply(X4,X2)),multiply(X4,inverse(inverse(multiply(X2,X0)))))),X3)),
inference(superposition,[],[f691,f130]) ).
fof(f959,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,inverse(multiply(inverse(X2),X2)))),
inference(superposition,[],[f770,f129]) ).
fof(f1097,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f959,f959]) ).
fof(f1364,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(inverse(X1)),inverse(X1))))))) = X1,
inference(superposition,[],[f1,f1097]) ).
fof(f1447,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(multiply(inverse(X2),X2)),inverse(multiply(inverse(X0),X0)))))) = X1,
inference(superposition,[],[f1364,f1097]) ).
fof(f1563,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(superposition,[],[f1447,f1447]) ).
fof(f1683,plain,
! [X2,X3] : inverse(multiply(inverse(X2),multiply(inverse(X3),X3))) = X2,
inference(forward_demodulation,[],[f1563,f1447]) ).
fof(f1732,plain,
! [X0,X1] : inverse(X0) = multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X0),inverse(multiply(inverse(X1),X1)))))))),X1),
inference(superposition,[],[f1683,f603]) ).
fof(f1734,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))) = multiply(inverse(X2),X1),
inference(superposition,[],[f1683,f691]) ).
fof(f1739,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f1683,f1097]) ).
fof(f1949,plain,
! [X2,X3,X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X3))),multiply(inverse(X0),X0)))))) = X3,
inference(superposition,[],[f25,f1739]) ).
fof(f1950,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))),multiply(inverse(X0),X0)))) = X3,
inference(superposition,[],[f28,f1739]) ).
fof(f1980,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(inverse(multiply(X2,multiply(inverse(X0),X0))))) = inverse(inverse(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,X2)),X3)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X3),X3))))))),
inference(superposition,[],[f342,f1739]) ).
fof(f2064,plain,
! [X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(inverse(X0),X0)))) = X1,
inference(superposition,[],[f1683,f1739]) ).
fof(f2092,plain,
! [X2,X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),X1)),inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(X1),X1))))))) = X2,
inference(superposition,[],[f25,f1739]) ).
fof(f2119,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))),X1)),inverse(multiply(inverse(X0),X0))) = X2,
inference(superposition,[],[f603,f1739]) ).
fof(f2126,plain,
! [X2,X0] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(X0),X0))) = X2,
inference(forward_demodulation,[],[f2119,f1732]) ).
fof(f2203,plain,
! [X2,X0,X1] : multiply(X1,X2) = multiply(X1,inverse(inverse(multiply(X2,multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f1980,f2092]) ).
fof(f2223,plain,
! [X2,X3,X1] : multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(X3))))) = X3,
inference(forward_demodulation,[],[f1950,f1683]) ).
fof(f2224,plain,
! [X2,X3,X1] : inverse(inverse(multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,X3))))) = X3,
inference(forward_demodulation,[],[f1949,f1683]) ).
fof(f2394,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),X2)),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(X2,multiply(inverse(X3),X3)))),
inference(superposition,[],[f115,f2203]) ).
fof(f2407,plain,
! [X2,X3] : inverse(inverse(multiply(X2,multiply(inverse(X3),X3)))) = X2,
inference(forward_demodulation,[],[f2394,f115]) ).
fof(f2585,plain,
! [X0,X1] : inverse(inverse(multiply(X1,inverse(multiply(inverse(X0),X0))))) = X1,
inference(superposition,[],[f2407,f1739]) ).
fof(f3103,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1))))) = multiply(X0,inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f2126,f25]) ).
fof(f3243,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(multiply(inverse(X3),X3))) = multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),
inference(forward_demodulation,[],[f3103,f2064]) ).
fof(f3386,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X4),X4) = multiply(inverse(multiply(inverse(multiply(X3,X2)),multiply(X3,inverse(inverse(multiply(X0,multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))))))),inverse(multiply(inverse(X2),X2))),
inference(superposition,[],[f129,f3243]) ).
fof(f3501,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,X4)))),multiply(X2,X0))) = inverse(multiply(X3,inverse(inverse(multiply(X4,inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X4),X4))))))))),
inference(superposition,[],[f117,f3243]) ).
fof(f3510,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(multiply(X2,inverse(multiply(X3,X4)))),multiply(X2,X0))) = inverse(multiply(X3,inverse(inverse(multiply(X4,multiply(X0,inverse(multiply(inverse(X1),X1)))))))),
inference(forward_demodulation,[],[f3501,f2064]) ).
fof(f3611,plain,
! [X2,X0,X1,X4] : multiply(inverse(X4),X4) = multiply(multiply(inverse(inverse(inverse(multiply(X0,multiply(inverse(multiply(X1,X0)),multiply(X1,X2)))))),X2),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f3386,f1734]) ).
fof(f3675,plain,
! [X3,X0,X1,X4] : inverse(multiply(X3,inverse(inverse(multiply(X4,multiply(X0,inverse(multiply(inverse(X1),X1)))))))) = multiply(inverse(X0),inverse(multiply(X3,X4))),
inference(forward_demodulation,[],[f3510,f1734]) ).
fof(f3715,plain,
! [X2,X4] : multiply(inverse(X4),X4) = multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X2),X2))),
inference(forward_demodulation,[],[f3611,f2224]) ).
fof(f3841,plain,
! [X2,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(X1,inverse(inverse(multiply(X2,inverse(multiply(inverse(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(X2),X2))))))))),
inference(superposition,[],[f117,f3715]) ).
fof(f4014,plain,
! [X2,X0,X1] : inverse(multiply(X1,X2)) = inverse(multiply(X1,inverse(inverse(multiply(X2,multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X0),X0)))))))),
inference(forward_demodulation,[],[f3841,f2064]) ).
fof(f4097,plain,
! [X2,X0,X1] : inverse(multiply(X1,X2)) = multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(X1,X2))),
inference(forward_demodulation,[],[f4014,f3675]) ).
fof(f4228,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X1)))),multiply(X0,inverse(inverse(X2))))),inverse(multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(X1),X1)))))) = X2,
inference(superposition,[],[f28,f4097]) ).
fof(f4235,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(X2),X2)))),X3)),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))))),
inference(superposition,[],[f342,f4097]) ).
fof(f4298,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),inverse(multiply(inverse(X2),X2)))),X3))),
inference(forward_demodulation,[],[f4235,f2585]) ).
fof(f4305,plain,
! [X2,X1] : multiply(inverse(X1),inverse(inverse(multiply(X1,inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))))))) = X2,
inference(forward_demodulation,[],[f4228,f339]) ).
fof(f4367,plain,
! [X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,inverse(multiply(inverse(X3),inverse(multiply(inverse(X1),X1)))))))) = inverse(inverse(multiply(multiply(X0,X1),X3))),
inference(forward_demodulation,[],[f4298,f2064]) ).
fof(f4372,plain,
! [X2,X1] : multiply(inverse(X1),inverse(inverse(multiply(X1,X2)))) = X2,
inference(forward_demodulation,[],[f4305,f2064]) ).
fof(f4397,plain,
! [X3,X0,X1] : multiply(X0,inverse(inverse(multiply(X1,X3)))) = inverse(inverse(multiply(multiply(X0,X1),X3))),
inference(forward_demodulation,[],[f4367,f2064]) ).
fof(f4405,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(inverse(multiply(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),X1))))),X3)))) = X3,
inference(superposition,[],[f4372,f1]) ).
fof(f4406,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),inverse(inverse(multiply(multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3))))),X5)))) = X5,
inference(superposition,[],[f4372,f5]) ).
fof(f4454,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,X0))),inverse(multiply(inverse(X1),X1)))) = multiply(inverse(X1),X0),
inference(superposition,[],[f4372,f25]) ).
fof(f4552,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X2,X1)),multiply(X2,X0)) = multiply(inverse(X1),X0),
inference(forward_demodulation,[],[f4454,f2064]) ).
fof(f4588,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),multiply(X3,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X4,X3)),multiply(X4,X2))),inverse(multiply(inverse(X3),X3)))),X5))))) = X5,
inference(forward_demodulation,[],[f4406,f4397]) ).
fof(f4589,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),X1)))),X3))))) = X3,
inference(forward_demodulation,[],[f4405,f4397]) ).
fof(f4625,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),multiply(X3,inverse(inverse(multiply(multiply(inverse(multiply(X4,X3)),multiply(X4,X2)),X5))))) = X5,
inference(forward_demodulation,[],[f4588,f2064]) ).
fof(f4626,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,inverse(inverse(multiply(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0))),X3))))) = X3,
inference(forward_demodulation,[],[f4589,f2064]) ).
fof(f4652,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),multiply(X3,multiply(inverse(multiply(X4,X3)),inverse(inverse(multiply(multiply(X4,X2),X5)))))) = X5,
inference(forward_demodulation,[],[f4625,f4397]) ).
fof(f4653,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X2,X1)),inverse(inverse(multiply(multiply(X2,inverse(X0)),X3)))))) = X3,
inference(forward_demodulation,[],[f4626,f4397]) ).
fof(f4667,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),multiply(X3,multiply(inverse(multiply(X4,X3)),multiply(X4,inverse(inverse(multiply(X2,X5))))))) = X5,
inference(forward_demodulation,[],[f4652,f4397]) ).
fof(f4668,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(inverse(multiply(inverse(X0),X3))))))) = X3,
inference(forward_demodulation,[],[f4653,f4397]) ).
fof(f4675,plain,
! [X2,X0,X1,X5] : multiply(multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))))),multiply(X2,X5)) = X5,
inference(forward_demodulation,[],[f4667,f2223]) ).
fof(f4676,plain,
! [X3,X0] : multiply(X0,multiply(inverse(X0),X3)) = X3,
inference(forward_demodulation,[],[f4668,f2223]) ).
fof(f4678,plain,
! [X2,X0,X1,X5] : multiply(multiply(X0,multiply(inverse(multiply(X1,X0)),multiply(X1,inverse(X2)))),multiply(X2,X5)) = X5,
inference(forward_demodulation,[],[f4675,f2064]) ).
fof(f4679,plain,
! [X2,X0,X5] : multiply(multiply(X0,multiply(inverse(X0),inverse(X2))),multiply(X2,X5)) = X5,
inference(forward_demodulation,[],[f4678,f4552]) ).
fof(f4680,plain,
! [X2,X5] : multiply(inverse(X2),multiply(X2,X5)) = X5,
inference(forward_demodulation,[],[f4679,f4676]) ).
fof(f4708,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),inverse(multiply(inverse(X1),X1))))),X3),
inference(superposition,[],[f4552,f1]) ).
fof(f4768,plain,
! [X0,X1] : inverse(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X0),X1)),inverse(multiply(inverse(X0),X0))))))) = X1,
inference(superposition,[],[f25,f4552]) ).
fof(f4881,plain,
! [X0,X1] : inverse(inverse(multiply(X0,multiply(inverse(X0),X1)))) = X1,
inference(forward_demodulation,[],[f4768,f2064]) ).
fof(f4928,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(inverse(multiply(inverse(multiply(X2,X1)),multiply(X2,inverse(X0)))),X3),
inference(forward_demodulation,[],[f4708,f2585]) ).
fof(f4983,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f4881,f4676]) ).
fof(f5016,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(inverse(inverse(X0)),X1),X3),
inference(forward_demodulation,[],[f4928,f1734]) ).
fof(f5075,plain,
! [X3,X0,X1] : multiply(X0,multiply(X1,X3)) = multiply(multiply(X0,X1),X3),
inference(forward_demodulation,[],[f5016,f4983]) ).
fof(f5248,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(unit_resulting_resolution,[],[f3,f1097,f5075]) ).
fof(f5459,plain,
a2 != multiply(inverse(b2),multiply(b2,a2)),
inference(forward_demodulation,[],[f5248,f5075]) ).
fof(f5553,plain,
$false,
inference(forward_subsumption_resolution,[],[f5459,f4680]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP053-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n007.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 09:14:55 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.39 Running first-order theorem proving
% 0.10/0.39 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 17.22/3.43 % (1143215)Input is clausal, will run a generic CNF schedule.
% 17.22/3.43 % (1143253)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3060465679:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 17.22/3.43 % (1143259)dis-21_1_sil=8000:lcm=predicate:random_seed=2238400821:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 17.22/3.43 % (1143259)Refutation not found, incomplete strategy
% 17.22/3.43 % (1143259)------------------------------
% 17.22/3.43 % (1143259)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.43 % (1143259)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.43 % (1143259)CaDiCaL version: 2.1.3
% 17.22/3.43 % (1143259)Termination reason: Refutation not found, incomplete strategy
% 17.22/3.43 % (1143259)Time elapsed: 0.002 s
% 17.22/3.43 % (1143259)Peak memory usage: 88 MB
% 17.22/3.43 % (1143257)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1801748640:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 17.22/3.43 % (1143256)lrs+10_1_sil=8000:sp=occurrence:random_seed=2419653406:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 17.22/3.43 % (1143254)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2371853111:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 17.22/3.43 % (1143255)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1678168813:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 17.22/3.43 % (1143258)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1916787806:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 17.22/3.43 % (1143256)Instruction limit reached!
% 17.22/3.43 % (1143256)------------------------------
% 17.22/3.43 % (1143256)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.43 % (1143256)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.43 % (1143256)CaDiCaL version: 2.1.3
% 17.22/3.43 % (1143256)Termination reason: Instruction limit
% 17.22/3.43 % (1143256)Termination phase: Saturation
% 17.22/3.43 % (1143256)Time elapsed: 0.094 s
% 17.22/3.43 % (1143256)Peak memory usage: 89 MB
% 17.22/3.43 % (1143256)Instructions burned: 107 (million)
% 17.22/3.43 % (1143257)Instruction limit reached!
% 17.22/3.43 % (1143257)------------------------------
% 17.22/3.43 % (1143257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.43 % (1143257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.43 % (1143257)CaDiCaL version: 2.1.3
% 17.22/3.43 % (1143257)Termination reason: Instruction limit
% 17.22/3.43 % (1143257)Termination phase: Saturation
% 17.22/3.43 % (1143257)Time elapsed: 0.102 s
% 17.22/3.43 % (1143257)Peak memory usage: 88 MB
% 17.22/3.43 % (1143257)Instructions burned: 114 (million)
% 17.22/3.43 % (1143258)Instruction limit reached!
% 17.22/3.43 % (1143258)------------------------------
% 17.22/3.43 % (1143258)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.43 % (1143258)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.43 % (1143258)CaDiCaL version: 2.1.3
% 17.22/3.43 % (1143258)Termination reason: Instruction limit
% 17.22/3.43 % (1143258)Termination phase: Saturation
% 17.22/3.43 % (1143258)Time elapsed: 0.156 s
% 17.22/3.43 % (1143258)Peak memory usage: 88 MB
% 17.22/3.43 % (1143258)Instructions burned: 180 (million)
% 17.22/3.43 % (1143267)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=714358363:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 17.22/3.43 % (1143267)Refutation not found, incomplete strategy
% 17.22/3.43 % (1143267)------------------------------
% 17.22/3.43 % (1143267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.22/3.43 % (1143267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.22/3.43 % (1143267)CaDiCaL version: 2.1.3
% 17.22/3.43 % (1143267)Termination reason: Refutation not found, incomplete strategy
% 17.22/3.43 % (1143267)Time elapsed: 0.002 s
% 17.22/3.43 % (1143267)Peak memory usage: 88 MB
% 17.22/3.43 % (1143259)------------------------------
% 17.22/3.43 % (1143259)------------------------------
% 17.22/3.43 % (1143268)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=712409488:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 18.93/3.65 % (1143268)Refutation not found, incomplete strategy
% 18.93/3.65 % (1143268)------------------------------
% 18.93/3.65 % (1143268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143268)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143268)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.65 % (1143268)Time elapsed: 0.002 s
% 18.93/3.65 % (1143268)Peak memory usage: 88 MB
% 18.93/3.65 % (1143269)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2246378180:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 18.93/3.65 % (1143269)Refutation not found, incomplete strategy
% 18.93/3.65 % (1143269)------------------------------
% 18.93/3.65 % (1143269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143269)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143269)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.65 % (1143269)Time elapsed: 0.002 s
% 18.93/3.65 % (1143269)Peak memory usage: 88 MB
% 18.93/3.65 % (1143276)lrs+10_64_to=lpo:sil=8000:random_seed=165810558:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 18.93/3.65 % (1143276)Instruction limit reached!
% 18.93/3.65 % (1143276)------------------------------
% 18.93/3.65 % (1143276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143276)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143276)Termination reason: Instruction limit
% 18.93/3.65 % (1143276)Termination phase: Saturation
% 18.93/3.65 % (1143276)Time elapsed: 0.072 s
% 18.93/3.65 % (1143276)Peak memory usage: 89 MB
% 18.93/3.65 % (1143276)Instructions burned: 126 (million)
% 18.93/3.65 % (1143267)------------------------------
% 18.93/3.65 % (1143267)------------------------------
% 18.93/3.65 % (1143268)------------------------------
% 18.93/3.65 % (1143268)------------------------------
% 18.93/3.65 % (1143269)------------------------------
% 18.93/3.65 % (1143269)------------------------------
% 18.93/3.65 % (1143283)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2102858697:avsq=on:i=194:fgj=on:bd=preordered_2990 on theBenchmark for (2990ds/194Mi)
% 18.93/3.65 % (1143284)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=162053551:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 18.93/3.65 % (1143285)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1878931296:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 18.93/3.65 % (1143286)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=570576955:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 18.93/3.65 % (1143284)Instruction limit reached!
% 18.93/3.65 % (1143284)------------------------------
% 18.93/3.65 % (1143284)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143284)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143284)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143284)Termination reason: Instruction limit
% 18.93/3.65 % (1143284)Termination phase: Saturation
% 18.93/3.65 % (1143284)Time elapsed: 0.140 s
% 18.93/3.65 % (1143284)Peak memory usage: 90 MB
% 18.93/3.65 % (1143284)Instructions burned: 157 (million)
% 18.93/3.65 % (1143283)Instruction limit reached!
% 18.93/3.65 % (1143283)------------------------------
% 18.93/3.65 % (1143283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143283)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143283)Termination reason: Instruction limit
% 18.93/3.65 % (1143283)Termination phase: Saturation
% 18.93/3.65 % (1143283)Time elapsed: 0.179 s
% 18.93/3.65 % (1143283)Peak memory usage: 89 MB
% 18.93/3.65 % (1143283)Instructions burned: 194 (million)
% 18.93/3.65 % (1143286)Instruction limit reached!
% 18.93/3.65 % (1143286)------------------------------
% 18.93/3.65 % (1143286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143286)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143286)Termination reason: Instruction limit
% 18.93/3.65 % (1143286)Termination phase: Saturation
% 18.93/3.65 % (1143286)Time elapsed: 0.102 s
% 18.93/3.65 % (1143286)Peak memory usage: 89 MB
% 18.93/3.65 % (1143286)Instructions burned: 106 (million)
% 18.93/3.65 % (1143293)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=320548612:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 18.93/3.65 % (1143293)Refutation not found, incomplete strategy
% 18.93/3.65 % (1143293)------------------------------
% 18.93/3.65 % (1143293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143293)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143293)Termination reason: Refutation not found, incomplete strategy
% 18.93/3.65 % (1143293)Time elapsed: 0.002 s
% 18.93/3.65 % (1143293)Peak memory usage: 88 MB
% 18.93/3.65 % (1143294)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3250822232:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 18.93/3.65 % (1143295)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=762786283:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 18.93/3.65 % (1143294)Instruction limit reached!
% 18.93/3.65 % (1143294)------------------------------
% 18.93/3.65 % (1143294)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143294)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143294)Termination reason: Instruction limit
% 18.93/3.65 % (1143294)Termination phase: Saturation
% 18.93/3.65 % (1143294)Time elapsed: 0.198 s
% 18.93/3.65 % (1143294)Peak memory usage: 90 MB
% 18.93/3.65 % (1143294)Instructions burned: 242 (million)
% 18.93/3.65 % (1143293)------------------------------
% 18.93/3.65 % (1143293)------------------------------
% 18.93/3.65 % (1143301)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=837805265:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 18.93/3.65 % (1143301)Instruction limit reached!
% 18.93/3.65 % (1143301)------------------------------
% 18.93/3.65 % (1143301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143301)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143301)Termination reason: Instruction limit
% 18.93/3.65 % (1143301)Termination phase: Saturation
% 18.93/3.65 % (1143301)Time elapsed: 0.078 s
% 18.93/3.65 % (1143301)Peak memory usage: 89 MB
% 18.93/3.65 % (1143301)Instructions burned: 138 (million)
% 18.93/3.65 % (1143302)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2170744212:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 18.93/3.65 % (1143306)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2952838854:i=191:fgj=on:bd=all_2978 on theBenchmark for (2978ds/191Mi)
% 18.93/3.65 % (1143254)First to succeed.
% 18.93/3.65 % (1143254)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1143215"
% 18.93/3.65 % (1143306)Instruction limit reached!
% 18.93/3.65 % (1143306)------------------------------
% 18.93/3.65 % (1143306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143306)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143306)Termination reason: Instruction limit
% 18.93/3.65 % (1143306)Termination phase: Saturation
% 18.93/3.65 % (1143306)Time elapsed: 0.109 s
% 18.93/3.65 % (1143306)Peak memory usage: 90 MB
% 18.93/3.65 % (1143306)Instructions burned: 195 (million)
% 18.93/3.65 % (1143302)Instruction limit reached!
% 18.93/3.65 % (1143302)------------------------------
% 18.93/3.65 % (1143302)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.93/3.65 % (1143302)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.93/3.65 % (1143302)CaDiCaL version: 2.1.3
% 18.93/3.65 % (1143302)Termination reason: Instruction limit
% 18.93/3.65 % (1143302)Termination phase: Saturation
% 18.93/3.65 % (1143302)Time elapsed: 0.269 s
% 18.93/3.65 % (1143302)Peak memory usage: 94 MB
% 18.93/3.65 % (1143302)Instructions burned: 500 (million)
% 18.93/3.65 % (1143407)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2683302722:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 18.93/3.65 % (1143414)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2059589445:cond=on:i=156:bs=on:gtg=exists_all:er=known_2975 on theBenchmark for (2975ds/156Mi)
% 18.93/3.65 % (1143254)Refutation found. Thanks to Tanya!
% 18.93/3.65 % SZS status Unsatisfiable for theBenchmark
% 18.93/3.65 % SZS output start Proof for theBenchmark
% See solution above
% 19.80/3.84 % (1143254)------------------------------
% 19.80/3.84 % (1143254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.80/3.84 % (1143254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.80/3.84 % (1143254)CaDiCaL version: 2.1.3
% 19.80/3.84 % (1143254)Termination reason: Refutation
% 19.80/3.84 % (1143254)Time elapsed: 2.208 s
% 19.80/3.84 % (1143254)Peak memory usage: 145 MB
% 19.80/3.84 % (1143254)Instructions burned: 2534 (million)
% 19.80/3.84 % (1143254)------------------------------
% 19.80/3.84 % (1143254)------------------------------
% 19.80/3.84 % (1143215)Success in time 2.698 s
% 19.80/3.84 % Vampire exiting
%------------------------------------------------------------------------------