%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP414-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 10:13:56 AM UTC 2026
% Result : Unsatisfiable 8.06s 1.93s
% Output : Refutation 9.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 2
% Syntax : Number of formulae : 130 ( 130 unt; 0 def)
% Number of atoms : 130 ( 129 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 5 avg)
% Maximal term depth : 17 ( 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 : 466 ( 466 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),X2))),X1))) = X2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f4,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X3))),X0))),X3)) = multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2))),
inference(superposition,[],[f1,f1]) ).
fof(f24,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))) = X2,
inference(superposition,[],[f1,f4]) ).
fof(f27,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),inverse(X0))),multiply(inverse(multiply(X1,inverse(X2))),X3)))),X0)) = X3,
inference(superposition,[],[f1,f4]) ).
fof(f38,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(multiply(multiply(inverse(X2),X2),inverse(X3))),X0))),X3) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(X0,X2)))),
inference(superposition,[],[f24,f1]) ).
fof(f54,plain,
! [X0,X1,X5] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,X5)))),X1)) = X5,
inference(superposition,[],[f27,f27]) ).
fof(f88,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X0)) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,X0)),
inference(superposition,[],[f24,f54]) ).
fof(f117,plain,
! [X0,X1,X4,X5] : multiply(inverse(multiply(X1,X0)),multiply(X1,X4)) = multiply(inverse(multiply(X5,X0)),multiply(X5,X4)),
inference(superposition,[],[f88,f54]) ).
fof(f118,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X3,inverse(X2))),X0))),X2)))),multiply(X1,X4)) = multiply(inverse(X0),multiply(X3,X4)),
inference(superposition,[],[f88,f1]) ).
fof(f190,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,X0)))),X3)),
inference(superposition,[],[f117,f54]) ).
fof(f494,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(X2,X1)))))) = X2,
inference(superposition,[],[f1,f38]) ).
fof(f495,plain,
! [X2,X0,X1] : inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))) = X2,
inference(superposition,[],[f54,f38]) ).
fof(f498,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,X4)),multiply(X3,X4)) = multiply(X2,multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(multiply(multiply(multiply(inverse(X1),X1),X2),X1))))),
inference(superposition,[],[f190,f38]) ).
fof(f1062,plain,
! [X2,X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(multiply(X1,X2)),multiply(X1,X2)),
inference(superposition,[],[f498,f24]) ).
fof(f1256,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(X0),X0),
inference(superposition,[],[f1062,f1062]) ).
fof(f1340,plain,
! [X0,X1] : inverse(X1) = inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1)),
inference(superposition,[],[f27,f1062]) ).
fof(f1363,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X1)),X2)))),
inference(superposition,[],[f38,f1062]) ).
fof(f1386,plain,
! [X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),X0))),X1) = X1,
inference(forward_demodulation,[],[f1363,f24]) ).
fof(f1617,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X2),X2))),X1) = X1,
inference(superposition,[],[f1386,f1256]) ).
fof(f1910,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X0)) = multiply(inverse(X2),X0),
inference(superposition,[],[f190,f1617]) ).
fof(f1928,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),inverse(X0))),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(superposition,[],[f24,f1617]) ).
fof(f1935,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X3),X3))),inverse(X1))),X0))),X1)) = X0,
inference(superposition,[],[f54,f1617]) ).
fof(f1944,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(multiply(multiply(multiply(inverse(X4),X4),inverse(multiply(inverse(X5),X5))),inverse(X2))),X0))),X3)),
inference(superposition,[],[f190,f1617]) ).
fof(f1964,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),multiply(X1,X3)) = multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X3)),
inference(forward_demodulation,[],[f1944,f1617]) ).
fof(f1973,plain,
! [X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X0))),X1)) = X0,
inference(forward_demodulation,[],[f1935,f1617]) ).
fof(f1979,plain,
! [X0,X1] : multiply(inverse(inverse(X0)),inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X0))) = X1,
inference(forward_demodulation,[],[f1928,f1617]) ).
fof(f2021,plain,
! [X2,X3,X0] : multiply(inverse(X2),X3) = multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X3)),
inference(forward_demodulation,[],[f1964,f1910]) ).
fof(f2055,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(X4,inverse(X1))),multiply(X4,X3)))),X2)),X5),
inference(superposition,[],[f1910,f190]) ).
fof(f2056,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))),multiply(X2,X5)) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X4))),multiply(X3,inverse(multiply(multiply(multiply(inverse(X4),X4),X2),X4))))),X5),
inference(superposition,[],[f1910,f498]) ).
fof(f2080,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),multiply(X2,X1)) = multiply(inverse(multiply(inverse(multiply(X2,X0)),X3)),multiply(inverse(X0),X1)),
inference(superposition,[],[f1910,f1910]) ).
fof(f2214,plain,
! [X2,X0,X1,X5] : multiply(X2,X5) = multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1))),multiply(X2,X5)),
inference(forward_demodulation,[],[f2056,f495]) ).
fof(f2215,plain,
! [X2,X3,X0,X1,X5] : multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X2))),multiply(X3,X5)) = multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X2)),X5),
inference(forward_demodulation,[],[f2055,f1910]) ).
fof(f2238,plain,
! [X2,X1,X5] : multiply(X2,X5) = multiply(inverse(multiply(inverse(X1),X1)),multiply(X2,X5)),
inference(forward_demodulation,[],[f2214,f1910]) ).
fof(f2239,plain,
! [X2,X3,X1,X5] : multiply(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X3))),X2)),X5) = multiply(inverse(multiply(inverse(X1),X2)),multiply(X3,X5)),
inference(forward_demodulation,[],[f2215,f1910]) ).
fof(f2280,plain,
! [X3,X0] : multiply(inverse(multiply(inverse(X3),X3)),X0) = X0,
inference(superposition,[],[f2238,f24]) ).
fof(f3562,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2)),inverse(multiply(inverse(multiply(X5,X0)),multiply(X5,X4)))),X3)),
inference(superposition,[],[f190,f1973]) ).
fof(f3598,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(X0,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2)),inverse(multiply(inverse(X0),X4))),X3)),
inference(forward_demodulation,[],[f3562,f1910]) ).
fof(f3662,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2))),multiply(X1,X3)) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X0),X4))),X3)),
inference(forward_demodulation,[],[f3598,f2021]) ).
fof(f3683,plain,
! [X2,X3,X0,X4] : multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X0),X4))),X3)) = multiply(inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(inverse(X2)),X0))),X2)),X3),
inference(forward_demodulation,[],[f3662,f1910]) ).
fof(f3685,plain,
! [X2,X3,X0,X4] : multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X0),X4))),X3)) = multiply(inverse(multiply(inverse(X2),X2)),multiply(X0,X3)),
inference(forward_demodulation,[],[f3683,f2239]) ).
fof(f3686,plain,
! [X2,X3,X0,X4] : multiply(X0,X3) = multiply(X4,multiply(multiply(multiply(inverse(X2),X2),inverse(multiply(inverse(X0),X4))),X3)),
inference(forward_demodulation,[],[f3685,f2238]) ).
fof(f3993,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X2)),X3) = multiply(multiply(X1,inverse(multiply(X0,X2))),multiply(X0,X3)),
inference(superposition,[],[f3686,f494]) ).
fof(f4030,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X0,X1)),multiply(X2,X4)) = multiply(inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(X0),X2))),X1)),X4),
inference(superposition,[],[f1910,f3686]) ).
fof(f4180,plain,
! [X2,X3,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(X2,inverse(multiply(X0,X1))))),X3) = multiply(X0,multiply(inverse(multiply(X2,inverse(X1))),X3)),
inference(superposition,[],[f3993,f494]) ).
fof(f4230,plain,
! [X2,X3,X0,X1] : multiply(X0,X2) = multiply(inverse(multiply(X3,inverse(multiply(X0,X1)))),multiply(X3,inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)),X1)))),
inference(superposition,[],[f24,f3993]) ).
fof(f4236,plain,
! [X2,X0,X1] : multiply(inverse(X1),X2) = multiply(multiply(multiply(inverse(X0),X0),inverse(X1)),X2),
inference(superposition,[],[f1617,f3993]) ).
fof(f4296,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(multiply(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)),inverse(X2)),X1))),
inference(forward_demodulation,[],[f4230,f1910]) ).
fof(f4323,plain,
! [X2,X3,X0,X1] : multiply(X0,multiply(inverse(multiply(X2,inverse(X1))),X3)) = multiply(inverse(multiply(X2,inverse(multiply(X0,X1)))),X3),
inference(forward_demodulation,[],[f4180,f4236]) ).
fof(f4360,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(inverse(inverse(multiply(X0,X1))),inverse(multiply(inverse(X2),X1))),
inference(forward_demodulation,[],[f4296,f4236]) ).
fof(f4422,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,X2)),X3) = multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X3),multiply(X1,X2)))),
inference(superposition,[],[f4360,f1062]) ).
fof(f4427,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X2,X3) = multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),inverse(multiply(inverse(X3),multiply(inverse(multiply(X4,inverse(X5))),multiply(X4,inverse(multiply(multiply(multiply(inverse(X5),X5),X2),X5))))))),
inference(superposition,[],[f4360,f498]) ).
fof(f4432,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(X1),X1))),X2) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(X2),X0))),
inference(superposition,[],[f4360,f1340]) ).
fof(f4433,plain,
! [X2,X0,X1] : multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(inverse(X1)),X0))),X2) = multiply(inverse(X0),inverse(multiply(inverse(X2),X1))),
inference(superposition,[],[f4360,f1973]) ).
fof(f4522,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X2)),multiply(inverse(X1),X2)),inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(inverse(multiply(X0,X2))),X3)))),multiply(inverse(X1),X2))) = X3,
inference(superposition,[],[f54,f4360]) ).
fof(f4525,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(inverse(multiply(X2,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X1),X3)),multiply(inverse(X1),X3)),inverse(multiply(inverse(multiply(X0,X1)),X4))),multiply(inverse(X1),X3))))),multiply(X2,X5)),
inference(superposition,[],[f118,f4360]) ).
fof(f4557,plain,
! [X2,X3,X0,X1] : multiply(inverse(X3),inverse(multiply(inverse(X1),X2))) = multiply(inverse(multiply(inverse(inverse(multiply(X0,X2))),X3)),multiply(X0,X1)),
inference(superposition,[],[f1910,f4360]) ).
fof(f4588,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(multiply(multiply(inverse(multiply(inverse(X1),X3)),multiply(inverse(X1),X3)),inverse(multiply(inverse(multiply(X0,X1)),X4))),multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,X5))),
inference(forward_demodulation,[],[f4525,f4323]) ).
fof(f4591,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(multiply(inverse(multiply(X0,X1)),multiply(inverse(inverse(multiply(X0,X2))),X3))),multiply(inverse(X1),X2))) = X3,
inference(forward_demodulation,[],[f4522,f4236]) ).
fof(f4633,plain,
! [X2,X0,X1] : multiply(inverse(X0),inverse(multiply(inverse(X2),X1))) = multiply(inverse(multiply(inverse(inverse(X1)),X0)),X2),
inference(forward_demodulation,[],[f4433,f4236]) ).
fof(f4634,plain,
! [X2,X0] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X2),X0))) = X2,
inference(forward_demodulation,[],[f4432,f1617]) ).
fof(f4638,plain,
! [X2,X3,X0,X1,X5] : multiply(X2,X3) = multiply(inverse(inverse(multiply(inverse(multiply(X0,X1)),multiply(X0,X1)))),inverse(multiply(inverse(X3),multiply(inverse(inverse(X5)),inverse(multiply(multiply(multiply(inverse(X5),X5),X2),X5)))))),
inference(forward_demodulation,[],[f4427,f1910]) ).
fof(f4674,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(multiply(X2,inverse(multiply(inverse(X1),X3)))),multiply(X2,X5))),
inference(forward_demodulation,[],[f4588,f4236]) ).
fof(f4676,plain,
! [X2,X3,X0] : inverse(multiply(inverse(multiply(inverse(inverse(multiply(X0,X2))),X3)),multiply(X0,X2))) = X3,
inference(forward_demodulation,[],[f4591,f2080]) ).
fof(f4694,plain,
! [X2,X3,X5] : multiply(X2,X3) = multiply(inverse(multiply(inverse(inverse(X5)),inverse(multiply(multiply(multiply(inverse(X5),X5),X2),X5)))),X3),
inference(forward_demodulation,[],[f4638,f4422]) ).
fof(f4710,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(inverse(multiply(inverse(multiply(X0,X1)),X4)),multiply(inverse(X1),multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,X5)))),
inference(forward_demodulation,[],[f4674,f4323]) ).
fof(f4711,plain,
! [X2,X3] : inverse(multiply(inverse(X3),inverse(multiply(inverse(X2),X2)))) = X3,
inference(forward_demodulation,[],[f4676,f4557]) ).
fof(f4716,plain,
! [X2,X3,X5] : multiply(X2,X3) = multiply(multiply(multiply(inverse(X5),X5),X2),multiply(inverse(multiply(inverse(inverse(X5)),inverse(X5))),X3)),
inference(forward_demodulation,[],[f4694,f4323]) ).
fof(f4722,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(inverse(X4),multiply(X0,multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,X5)))),
inference(forward_demodulation,[],[f4710,f2080]) ).
fof(f4724,plain,
! [X2,X3,X5] : multiply(X2,X3) = multiply(multiply(multiply(inverse(X5),X5),X2),X3),
inference(forward_demodulation,[],[f4716,f2280]) ).
fof(f4725,plain,
! [X3,X0,X4,X5] : multiply(inverse(X4),multiply(inverse(inverse(multiply(X0,X3))),X5)) = multiply(inverse(X4),multiply(X0,multiply(inverse(inverse(X3)),X5))),
inference(forward_demodulation,[],[f4722,f1910]) ).
fof(f4794,plain,
! [X2,X0,X1] : multiply(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),X1)),inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,multiply(inverse(X0),X1))))))) = X2,
inference(superposition,[],[f494,f4634]) ).
fof(f4795,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(multiply(inverse(X0),X1)),multiply(inverse(X0),X1)),X2),multiply(inverse(X0),X1)))))) = X2,
inference(superposition,[],[f495,f4634]) ).
fof(f4824,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(inverse(X1)),X2)) = multiply(inverse(inverse(multiply(inverse(X0),X1))),X2),
inference(superposition,[],[f1910,f4634]) ).
fof(f4826,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X2)),inverse(multiply(inverse(X0),X3))) = multiply(multiply(X1,inverse(multiply(inverse(inverse(X3)),X2))),X0),
inference(superposition,[],[f3993,f4634]) ).
fof(f4850,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,multiply(inverse(X0),X1)))))) = X2,
inference(forward_demodulation,[],[f4795,f4724]) ).
fof(f4851,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(multiply(X2,multiply(inverse(X0),X1))))))) = X2,
inference(forward_demodulation,[],[f4794,f1910]) ).
fof(f4912,plain,
! [X2,X1] : multiply(multiply(inverse(X1),X1),X2) = X2,
inference(forward_demodulation,[],[f4851,f4850]) ).
fof(f4981,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(multiply(inverse(X0),X0),inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(X1))),inverse(X0))),X2))),X0)),X3) = X3,
inference(superposition,[],[f4912,f4]) ).
fof(f5018,plain,
! [X2,X0,X1] : multiply(X0,X2) = multiply(X1,multiply(inverse(multiply(inverse(X0),X1)),X2)),
inference(superposition,[],[f3686,f4912]) ).
fof(f5154,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(inverse(multiply(inverse(inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(X1))),inverse(X0)),X0)),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f4981,f4030]) ).
fof(f5193,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(inverse(inverse(X1)),inverse(multiply(inverse(inverse(X0)),multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1)))),X0)),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f5154,f4633]) ).
fof(f5212,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(multiply(inverse(X0),X0)))),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f5193,f4826]) ).
fof(f5215,plain,
! [X2,X3,X0,X1] : multiply(inverse(X0),multiply(inverse(multiply(multiply(inverse(inverse(X1)),inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),X1))),inverse(X0))),multiply(X2,X3))) = X3,
inference(forward_demodulation,[],[f5212,f4323]) ).
fof(f5216,plain,
! [X2,X3,X0] : multiply(inverse(X0),multiply(inverse(multiply(X2,inverse(X0))),multiply(X2,X3))) = X3,
inference(forward_demodulation,[],[f5215,f1979]) ).
fof(f5217,plain,
! [X3,X0] : multiply(inverse(X0),multiply(inverse(inverse(X0)),X3)) = X3,
inference(forward_demodulation,[],[f5216,f1910]) ).
fof(f5835,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X1,inverse(multiply(multiply(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)),inverse(multiply(X0,X3))),multiply(inverse(X2),X2))))),multiply(X1,X4)),
inference(superposition,[],[f118,f4711]) ).
fof(f5855,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X2)) = multiply(inverse(inverse(multiply(inverse(X1),X1))),X2),
inference(superposition,[],[f1910,f4711]) ).
fof(f5938,plain,
! [X2,X0,X1] : multiply(X0,multiply(inverse(X0),X2)) = multiply(inverse(X1),multiply(inverse(inverse(X1)),X2)),
inference(forward_demodulation,[],[f5855,f4824]) ).
fof(f5958,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(multiply(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)),inverse(multiply(X0,X3))),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X4))),
inference(forward_demodulation,[],[f5835,f4323]) ).
fof(f6025,plain,
! [X2,X0] : multiply(X0,multiply(inverse(X0),X2)) = X2,
inference(forward_demodulation,[],[f5938,f5217]) ).
fof(f6038,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X0,X3)),multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X2)))),multiply(X1,X4))),
inference(forward_demodulation,[],[f5958,f4236]) ).
fof(f6088,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X0,X3)),multiply(inverse(X2),multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,X4)))),
inference(forward_demodulation,[],[f6038,f4323]) ).
fof(f6110,plain,
! [X2,X3,X0,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X0,X3)),multiply(inverse(X2),multiply(inverse(inverse(X2)),X4))),
inference(forward_demodulation,[],[f6088,f1910]) ).
fof(f6119,plain,
! [X3,X0,X4] : multiply(inverse(X3),multiply(inverse(X0),X4)) = multiply(inverse(multiply(X0,X3)),X4),
inference(forward_demodulation,[],[f6110,f6025]) ).
fof(f6134,plain,
! [X0,X1] : multiply(X1,multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f6025,f1256]) ).
fof(f6141,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(superposition,[],[f6025,f4634]) ).
fof(f6142,plain,
! [X2,X0,X1] : multiply(X1,inverse(multiply(multiply(multiply(inverse(X2),X2),inverse(X0)),X2))) = multiply(multiply(X1,inverse(X2)),X0),
inference(superposition,[],[f6025,f24]) ).
fof(f6159,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f6025,f6025]) ).
fof(f6193,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(X1,X2)) = multiply(inverse(multiply(inverse(X1),X0)),X2),
inference(superposition,[],[f1910,f6025]) ).
fof(f6195,plain,
! [X2,X3,X0,X1] : multiply(multiply(X1,inverse(X2)),multiply(inverse(X3),X0)) = multiply(multiply(X1,inverse(multiply(X3,X2))),X0),
inference(superposition,[],[f3993,f6025]) ).
fof(f6201,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(inverse(inverse(X1)),X0))),inverse(X0)) = X1,
inference(superposition,[],[f4634,f6025]) ).
fof(f6208,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,inverse(multiply(multiply(multiply(inverse(X3),X3),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1)))),X0))),X3))),
inference(superposition,[],[f4,f6025]) ).
fof(f6225,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,inverse(multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1)))),X0)),X3))),
inference(forward_demodulation,[],[f6208,f4236]) ).
fof(f6231,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(inverse(inverse(X0)),inverse(X0))) = X1,
inference(forward_demodulation,[],[f6201,f4824]) ).
fof(f6272,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X2)),X0) = multiply(X1,inverse(multiply(inverse(X0),X2))),
inference(forward_demodulation,[],[f6142,f4236]) ).
fof(f6295,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(X3),multiply(inverse(inverse(multiply(inverse(multiply(X2,inverse(X3))),inverse(X1)))),X0))),
inference(forward_demodulation,[],[f6225,f6141]) ).
fof(f6301,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f6231,f6134]) ).
fof(f6324,plain,
! [X2,X0,X1] : multiply(multiply(X1,inverse(X2)),X0) = multiply(X1,multiply(inverse(X2),X0)),
inference(forward_demodulation,[],[f6272,f6141]) ).
fof(f6342,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(X3),multiply(inverse(multiply(X2,inverse(X3))),multiply(inverse(inverse(inverse(X1))),X0)))),
inference(forward_demodulation,[],[f6295,f4725]) ).
fof(f6368,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(multiply(X2,inverse(X3)),X3)),multiply(inverse(inverse(inverse(X1))),X0))),
inference(forward_demodulation,[],[f6342,f6119]) ).
fof(f6380,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(inverse(inverse(X1)),multiply(multiply(X2,inverse(X3)),X3))),X0)),
inference(forward_demodulation,[],[f6368,f6119]) ).
fof(f6389,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(multiply(X2,inverse(X3)),X3)),multiply(inverse(X1),X0))),
inference(forward_demodulation,[],[f6380,f6193]) ).
fof(f6394,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(X1,multiply(multiply(X2,inverse(X3)),X3))),X0)),
inference(forward_demodulation,[],[f6389,f6119]) ).
fof(f6398,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(X1,multiply(X2,multiply(inverse(X3),X3)))),X0)),
inference(forward_demodulation,[],[f6394,f6324]) ).
fof(f6401,plain,
! [X2,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(X0)),X1)) = multiply(X2,multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f6398,f6134]) ).
fof(f6404,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(X2,multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f6401,f4236]) ).
fof(f6406,plain,
! [X2,X0,X1] : multiply(inverse(X1),X0) = multiply(X2,multiply(inverse(multiply(X1,X2)),X0)),
inference(forward_demodulation,[],[f6404,f6141]) ).
fof(f6426,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,inverse(multiply(multiply(multiply(X0,inverse(X0)),inverse(X3)),inverse(X0)))),
inference(superposition,[],[f4,f6301]) ).
fof(f6503,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,inverse(multiply(multiply(X0,inverse(X0)),multiply(inverse(X3),inverse(X0))))),
inference(forward_demodulation,[],[f6426,f6324]) ).
fof(f6542,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,inverse(multiply(multiply(X0,inverse(multiply(X3,X0))),inverse(X0)))),
inference(forward_demodulation,[],[f6503,f6195]) ).
fof(f6571,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,inverse(multiply(X0,multiply(inverse(multiply(X3,X0)),inverse(X0))))),
inference(forward_demodulation,[],[f6542,f6324]) ).
fof(f6596,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,inverse(multiply(inverse(X3),inverse(X0)))),
inference(forward_demodulation,[],[f6571,f6406]) ).
fof(f6618,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,multiply(inverse(inverse(X0)),X3)),
inference(forward_demodulation,[],[f6596,f6141]) ).
fof(f6632,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3))),X1)) = multiply(X2,multiply(X0,X3)),
inference(forward_demodulation,[],[f6618,f6159]) ).
fof(f6640,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,X3)) = inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3)),X1)),
inference(forward_demodulation,[],[f6632,f4236]) ).
fof(f6645,plain,
! [X2,X3,X0,X1] : multiply(X2,multiply(X0,X3)) = multiply(inverse(X1),multiply(inverse(multiply(inverse(multiply(X2,X0)),inverse(X1))),X3)),
inference(forward_demodulation,[],[f6640,f6141]) ).
fof(f6648,plain,
! [X2,X3,X0] : multiply(multiply(X2,X0),X3) = multiply(X2,multiply(X0,X3)),
inference(forward_demodulation,[],[f6645,f5018]) ).
fof(f6750,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f6648]) ).
fof(f6811,plain,
$false,
inference(trivial_inequality_removal,[],[f6750]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : GRP414-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Sun Sep 27 10:03:20 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.33 Running first-order theorem proving
% 0.07/0.33 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
% 8.06/1.93 % (2134686)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.06/1.93 % (2134730)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=2688915576:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 8.06/1.93 % (2134733)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4184354427:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 8.06/1.93 % (2134732)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2461513909:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 8.06/1.93 % (2134731)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=2492635080:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 8.06/1.93 % (2134736)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=84285869:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 8.06/1.93 % (2134735)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4042205608:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 8.06/1.93 % (2134734)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4082671397:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 8.06/1.93 % (2134733)Instruction limit reached!
% 8.06/1.93 % (2134733)------------------------------
% 8.06/1.93 % (2134733)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134733)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134733)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134733)Termination reason: Instruction limit
% 8.06/1.93 % (2134733)Termination phase: Saturation
% 8.06/1.93 % (2134733)Time elapsed: 0.065 s
% 8.06/1.93 % (2134733)Peak memory usage: 89 MB
% 8.06/1.93 % (2134733)Instructions burned: 137 (million)
% 8.06/1.93 % (2134734)Instruction limit reached!
% 8.06/1.93 % (2134734)------------------------------
% 8.06/1.93 % (2134734)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134734)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134734)Termination reason: Instruction limit
% 8.06/1.93 % (2134734)Termination phase: Saturation
% 8.06/1.93 % (2134734)Time elapsed: 0.087 s
% 8.06/1.93 % (2134734)Peak memory usage: 89 MB
% 8.06/1.93 % (2134734)Instructions burned: 183 (million)
% 8.06/1.93 % (2134735)Instruction limit reached!
% 8.06/1.93 % (2134735)------------------------------
% 8.06/1.93 % (2134735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134735)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134735)Termination reason: Instruction limit
% 8.06/1.93 % (2134735)Termination phase: Saturation
% 8.06/1.93 % (2134735)Time elapsed: 0.126 s
% 8.06/1.93 % (2134735)Peak memory usage: 90 MB
% 8.06/1.93 % (2134735)Instructions burned: 257 (million)
% 8.06/1.93 % (2134750)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=39480726:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.06/1.93 % (2134751)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2627435676:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.06/1.93 % (2134752)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=690700316:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 8.06/1.93 % (2134752)Instruction limit reached!
% 8.06/1.93 % (2134752)------------------------------
% 8.06/1.93 % (2134752)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134752)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134752)Termination reason: Instruction limit
% 8.06/1.93 % (2134752)Termination phase: Saturation
% 8.06/1.93 % (2134752)Time elapsed: 0.099 s
% 8.06/1.93 % (2134752)Peak memory usage: 89 MB
% 8.06/1.93 % (2134752)Instructions burned: 216 (million)
% 8.06/1.93 % (2134736)Instruction limit reached!
% 8.06/1.93 % (2134736)------------------------------
% 8.06/1.93 % (2134736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134736)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134736)Termination reason: Instruction limit
% 8.06/1.93 % (2134736)Termination phase: Saturation
% 8.06/1.93 % (2134736)Time elapsed: 0.436 s
% 8.06/1.93 % (2134736)Peak memory usage: 96 MB
% 8.06/1.93 % (2134736)Instructions burned: 1189 (million)
% 8.06/1.93 % (2134762)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=544669843:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 8.06/1.93 % (2134762)Instruction limit reached!
% 8.06/1.93 % (2134762)------------------------------
% 8.06/1.93 % (2134762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.06/1.93 % (2134762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.06/1.93 % (2134762)CaDiCaL version: 2.1.3
% 8.06/1.93 % (2134762)Termination reason: Instruction limit
% 8.06/1.93 % (2134762)Termination phase: Saturation
% 8.06/1.93 % (2134762)Time elapsed: 0.089 s
% 8.06/1.93 % (2134762)Peak memory usage: 89 MB
% 8.06/1.93 % (2134762)Instructions burned: 319 (million)
% 8.06/1.93 % (2134765)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=578857617:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2994 on theBenchmark for (2994ds/12125Mi)
% 8.06/1.93 % (2134768)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1632319796:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2992 on theBenchmark for (2992ds/2836Mi)
% 8.06/1.93 % (2134731)First to succeed.
% 8.06/1.93 % (2134731)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2134686"
% 8.06/1.93 % (2134732)Also succeeded, but the first one will report.
% 8.06/1.93 % (2134731)Refutation found. Thanks to Tanya!
% 8.06/1.93 % SZS status Unsatisfiable for theBenchmark
% 8.06/1.93 % SZS output start Proof for theBenchmark
% See solution above
% 9.61/2.06 % (2134731)------------------------------
% 9.61/2.06 % (2134731)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.61/2.06 % (2134731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.61/2.06 % (2134731)CaDiCaL version: 2.1.3
% 9.61/2.06 % (2134731)Termination reason: Refutation
% 9.61/2.06 % (2134731)Time elapsed: 1.009 s
% 9.61/2.06 % (2134731)Peak memory usage: 139 MB
% 9.61/2.06 % (2134731)Instructions burned: 1952 (million)
% 9.61/2.06 % (2134731)------------------------------
% 9.61/2.06 % (2134731)------------------------------
% 9.61/2.06 % (2134686)Success in time 1.321 s
% 9.61/2.06 % Vampire exiting
%------------------------------------------------------------------------------