%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP437-1 : 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 : n018.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 14.37s 2.98s
% Output : Refutation 15.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 63
% Number of leaves : 2
% Syntax : Number of formulae : 163 ( 163 unt; 0 def)
% Number of atoms : 163 ( 162 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 13 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 590 ( 590 !; 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/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_2) ).
fof(f3,plain,
a2 != multiply(multiply(inverse(b2),b2),a2),
inference(reorient_equations,[],[f2]) ).
fof(f4,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(f5,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(f7,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,[],[f5,f1]) ).
fof(f16,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,f5]) ).
fof(f102,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,f16]) ).
fof(f116,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,[],[f5,f16]) ).
fof(f145,plain,
! [X2,X3,X0,X1,X6,X4,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,inverse(multiply(X3,multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(X5,X3))),X0))))))),inverse(X2))),
inference(superposition,[],[f116,f4]) ).
fof(f169,plain,
! [X2,X1,X6,X5] : multiply(X6,multiply(multiply(inverse(X6),inverse(X5)),inverse(X2))) = multiply(X1,multiply(multiply(inverse(X1),inverse(X5)),inverse(X2))),
inference(forward_demodulation,[],[f145,f1]) ).
fof(f189,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,[],[f102,f1]) ).
fof(f223,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,f189]) ).
fof(f255,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,[],[f223,f223]) ).
fof(f282,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(multiply(X1,multiply(X2,multiply(X3,X0))))),X1))) = X3,
inference(superposition,[],[f189,f223]) ).
fof(f927,plain,
! [X2,X3,X0,X1] : inverse(multiply(X0,multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,X3),X0))),X2)))) = X3,
inference(superposition,[],[f5,f7]) ).
fof(f1023,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,[],[f927,f5]) ).
fof(f1027,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,[],[f927,f1]) ).
fof(f1075,plain,
! [X0,X1,X6,X5] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X0,inverse(multiply(X5,X6))),X5))),X0)) = X6,
inference(superposition,[],[f116,f927]) ).
fof(f1076,plain,
! [X2,X0,X1,X6] : multiply(X1,multiply(multiply(inverse(X1),inverse(X2)),X0)) = multiply(X6,multiply(multiply(inverse(X6),inverse(X2)),X0)),
inference(superposition,[],[f169,f927]) ).
fof(f1138,plain,
! [X0,X1,X6,X5] : multiply(X1,multiply(multiply(inverse(X1),X0),X5)) = multiply(X6,multiply(multiply(inverse(X6),X0),X5)),
inference(superposition,[],[f1076,f927]) ).
fof(f1779,plain,
! [X2,X3,X0,X1,X6,X7,X4,X5] : inverse(multiply(multiply(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3))),multiply(multiply(X0,inverse(multiply(X4,multiply(X5,X6)))),inverse(X7))),multiply(X7,multiply(X4,X5)))) = X6,
inference(superposition,[],[f1027,f927]) ).
fof(f2007,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(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X3,X0),X1))),X3))))) = X6,
inference(forward_demodulation,[],[f1779,f1023]) ).
fof(f2025,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,[],[f2007,f927]) ).
fof(f2104,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,[],[f5,f2025]) ).
fof(f2116,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,[],[f255,f2025]) ).
fof(f2164,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,[],[f2104,f2116]) ).
fof(f2216,plain,
! [X3,X0,X1,X4] : multiply(X1,inverse(multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X4,X0))),X4))))) = X1,
inference(superposition,[],[f2164,f1075]) ).
fof(f2326,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,[],[f1138,f2164]) ).
fof(f2337,plain,
! [X0,X1,X5] : multiply(X5,multiply(inverse(X5),X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(forward_demodulation,[],[f2326,f2164]) ).
fof(f2451,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,[],[f2337,f2164]) ).
fof(f2660,plain,
! [X0,X1] : multiply(X0,inverse(X0)) = multiply(X1,inverse(X1)),
inference(forward_demodulation,[],[f2451,f2164]) ).
fof(f2772,plain,
! [X2,X3,X0,X1] : inverse(X3) = inverse(multiply(X1,multiply(X2,multiply(multiply(inverse(X2),inverse(multiply(multiply(X0,inverse(X0)),X1))),X3)))),
inference(superposition,[],[f927,f2660]) ).
fof(f2786,plain,
! [X2,X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = multiply(X2,multiply(inverse(X2),inverse(inverse(X1)))),
inference(superposition,[],[f2337,f2660]) ).
fof(f2803,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X1),inverse(multiply(X2,X3)))),inverse(multiply(X3,multiply(X1,multiply(X0,inverse(X0)))))) = X2,
inference(superposition,[],[f1,f2660]) ).
fof(f2862,plain,
! [X2,X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = multiply(X0,multiply(X2,inverse(X2))),
inference(superposition,[],[f2786,f2786]) ).
fof(f3582,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(multiply(X2,multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(multiply(X1,inverse(X1)),X2))),multiply(X3,inverse(X3))))))) = X4,
inference(superposition,[],[f2216,f2862]) ).
fof(f3736,plain,
! [X3,X4] : multiply(X4,inverse(multiply(X3,inverse(X3)))) = X4,
inference(forward_demodulation,[],[f3582,f2772]) ).
fof(f3776,plain,
! [X2,X0,X1] : inverse(X2) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X0,X2))),X0)),
inference(superposition,[],[f1075,f3736]) ).
fof(f3958,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(X0,multiply(inverse(X0),X1)),
inference(superposition,[],[f3776,f3736]) ).
fof(f4006,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),inverse(multiply(X2,X0))) = multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,inverse(X0)))),X3))),
inference(superposition,[],[f282,f3776]) ).
fof(f4099,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,[],[f3958,f255]) ).
fof(f4124,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(X0,multiply(multiply(inverse(X0),X1),X2))) = inverse(inverse(multiply(multiply(inverse(inverse(X3)),X1),X2))),
inference(superposition,[],[f3958,f1138]) ).
fof(f4125,plain,
! [X0,X1] : multiply(X1,inverse(inverse(X0))) = inverse(inverse(multiply(inverse(inverse(X1)),X0))),
inference(superposition,[],[f3958,f3958]) ).
fof(f4155,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,[],[f5,f3958]) ).
fof(f4175,plain,
! [X0,X1] : multiply(X0,multiply(X1,inverse(X1))) = inverse(inverse(inverse(inverse(X0)))),
inference(superposition,[],[f2862,f3958]) ).
fof(f4200,plain,
! [X2,X3,X0,X1] : multiply(inverse(X1),X0) = multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,inverse(inverse(X0))))),X3))),X2),
inference(superposition,[],[f2025,f3958]) ).
fof(f4227,plain,
! [X2,X0,X1] : multiply(inverse(X1),X0) = multiply(multiply(inverse(X1),inverse(multiply(X2,inverse(X0)))),X2),
inference(forward_demodulation,[],[f4200,f4006]) ).
fof(f4250,plain,
! [X3,X0] : multiply(X0,inverse(multiply(inverse(X3),inverse(inverse(X0))))) = X3,
inference(forward_demodulation,[],[f4155,f3776]) ).
fof(f4325,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X0)),X3))),X2)) = inverse(multiply(inverse(X0),inverse(inverse(X3)))),
inference(superposition,[],[f1075,f4250]) ).
fof(f4330,plain,
! [X2,X0,X1] : inverse(inverse(multiply(inverse(X0),inverse(inverse(X1))))) = multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),X1)),
inference(superposition,[],[f3776,f4250]) ).
fof(f4348,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(multiply(X2,multiply(X0,inverse(X3))),multiply(X3,multiply(inverse(X0),inverse(inverse(inverse(X2)))))))) = X1,
inference(superposition,[],[f2164,f4250]) ).
fof(f4379,plain,
! [X2,X0,X1] : multiply(X1,multiply(multiply(inverse(inverse(inverse(inverse(X2)))),inverse(multiply(X0,inverse(X0)))),inverse(X2))) = X1,
inference(forward_demodulation,[],[f4348,f1023]) ).
fof(f4393,plain,
! [X2,X3,X0] : inverse(multiply(inverse(X0),inverse(inverse(X3)))) = inverse(inverse(multiply(inverse(multiply(multiply(X2,inverse(X0)),X3)),inverse(inverse(X2))))),
inference(forward_demodulation,[],[f4325,f4330]) ).
fof(f4420,plain,
! [X2,X1] : multiply(X1,multiply(inverse(inverse(inverse(inverse(X2)))),inverse(X2))) = X1,
inference(forward_demodulation,[],[f4379,f3736]) ).
fof(f4454,plain,
! [X0,X1] : multiply(X1,multiply(inverse(inverse(inverse(X0))),X0)) = X1,
inference(superposition,[],[f4420,f1027]) ).
fof(f4528,plain,
! [X2,X3,X0,X1,X6,X4,X5] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = multiply(X4,inverse(multiply(multiply(X5,multiply(multiply(inverse(X5),inverse(X1)),inverse(X6))),multiply(X6,multiply(multiply(inverse(inverse(inverse(inverse(X3)))),inverse(X3)),X4))))),
inference(superposition,[],[f7,f4420]) ).
fof(f4544,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = multiply(X4,multiply(multiply(inverse(X4),inverse(multiply(multiply(inverse(X5),inverse(X1)),multiply(inverse(inverse(inverse(inverse(X3)))),inverse(X3))))),inverse(X5))),
inference(forward_demodulation,[],[f4528,f1023]) ).
fof(f4597,plain,
! [X2,X3,X0,X1,X5] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = inverse(inverse(multiply(inverse(multiply(multiply(inverse(X5),inverse(X1)),multiply(inverse(inverse(inverse(inverse(X3)))),inverse(X3)))),inverse(inverse(inverse(X5)))))),
inference(forward_demodulation,[],[f4544,f4330]) ).
fof(f4625,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = inverse(multiply(inverse(X1),inverse(inverse(multiply(inverse(inverse(inverse(inverse(X3)))),inverse(X3)))))),
inference(forward_demodulation,[],[f4597,f4393]) ).
fof(f4637,plain,
! [X2,X3,X0,X1] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = inverse(multiply(inverse(X1),multiply(inverse(inverse(X3)),inverse(inverse(inverse(X3)))))),
inference(forward_demodulation,[],[f4625,f4125]) ).
fof(f4643,plain,
! [X2,X0,X1] : inverse(multiply(X2,multiply(X0,multiply(inverse(X0),inverse(multiply(X1,X2)))))) = inverse(inverse(inverse(inverse(inverse(inverse(X1)))))),
inference(forward_demodulation,[],[f4637,f4175]) ).
fof(f4645,plain,
! [X2,X1] : inverse(multiply(X2,inverse(inverse(inverse(multiply(X1,X2)))))) = inverse(inverse(inverse(inverse(inverse(inverse(X1)))))),
inference(forward_demodulation,[],[f4643,f3958]) ).
fof(f4727,plain,
! [X2,X3,X0,X1] : inverse(multiply(X3,multiply(X0,multiply(inverse(X0),inverse(multiply(multiply(multiply(inverse(inverse(inverse(X1))),X1),X2),X3)))))) = X2,
inference(superposition,[],[f927,f4454]) ).
fof(f4747,plain,
! [X2,X3,X0,X1] : multiply(X3,multiply(multiply(inverse(X3),inverse(multiply(X0,inverse(multiply(multiply(inverse(inverse(inverse(X1))),X1),X2))))),X0)) = X2,
inference(superposition,[],[f1075,f4454]) ).
fof(f4752,plain,
! [X2,X1] : inverse(inverse(multiply(multiply(inverse(inverse(inverse(X1))),X1),X2))) = X2,
inference(forward_demodulation,[],[f4747,f3776]) ).
fof(f4768,plain,
! [X2,X3,X1] : inverse(multiply(X3,inverse(inverse(inverse(multiply(multiply(multiply(inverse(inverse(inverse(X1))),X1),X2),X3)))))) = X2,
inference(forward_demodulation,[],[f4727,f3958]) ).
fof(f4829,plain,
! [X2,X1] : inverse(inverse(inverse(inverse(inverse(inverse(multiply(multiply(inverse(inverse(inverse(X1))),X1),X2))))))) = X2,
inference(forward_demodulation,[],[f4768,f4645]) ).
fof(f4864,plain,
! [X2] : inverse(inverse(inverse(inverse(X2)))) = X2,
inference(forward_demodulation,[],[f4829,f4752]) ).
fof(f4890,plain,
! [X0,X1] : multiply(X1,multiply(X0,inverse(X0))) = X1,
inference(superposition,[],[f4454,f4864]) ).
fof(f5052,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X2,X3))),multiply(X2,X1))))) = X3,
inference(superposition,[],[f5,f4890]) ).
fof(f5054,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(inverse(X0),inverse(multiply(X3,X2)))) = multiply(X1,inverse(multiply(inverse(multiply(X2,X0)),multiply(X4,multiply(multiply(inverse(X4),inverse(X3)),X1))))),
inference(superposition,[],[f4,f4890]) ).
fof(f5083,plain,
! [X2,X3,X0,X1] : multiply(X1,inverse(multiply(X2,multiply(X0,multiply(X3,X1))))) = multiply(inverse(X3),inverse(multiply(X2,X0))),
inference(superposition,[],[f255,f4890]) ).
fof(f5212,plain,
! [X2,X3,X0,X4] : inverse(multiply(inverse(X0),inverse(multiply(X3,X2)))) = multiply(inverse(multiply(inverse(X4),inverse(X3))),inverse(multiply(inverse(multiply(X2,X0)),X4))),
inference(forward_demodulation,[],[f5054,f5083]) ).
fof(f5214,plain,
! [X2,X3,X0] : multiply(inverse(X2),inverse(multiply(X0,multiply(inverse(X0),inverse(multiply(X2,X3)))))) = X3,
inference(forward_demodulation,[],[f5052,f5083]) ).
fof(f5264,plain,
! [X2,X3] : multiply(inverse(X2),inverse(inverse(inverse(inverse(multiply(X2,X3)))))) = X3,
inference(forward_demodulation,[],[f5214,f3958]) ).
fof(f5289,plain,
! [X2,X3] : multiply(inverse(X2),multiply(X2,X3)) = X3,
inference(forward_demodulation,[],[f5264,f4864]) ).
fof(f5326,plain,
! [X2,X3,X0,X1,X4] : inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X1,multiply(X0,inverse(X4))),multiply(X4,multiply(X2,X3))))))) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f5289,f102]) ).
fof(f5343,plain,
! [X0,X1] : multiply(inverse(X1),X0) = multiply(inverse(X1),inverse(inverse(X0))),
inference(superposition,[],[f5289,f3958]) ).
fof(f5353,plain,
! [X0,X1] : multiply(X1,X0) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f5289,f5289]) ).
fof(f5361,plain,
! [X0,X1] : multiply(X1,X0) = inverse(inverse(multiply(X1,X0))),
inference(superposition,[],[f3958,f5289]) ).
fof(f5371,plain,
! [X2,X0,X1] : multiply(X2,inverse(multiply(multiply(inverse(X0),inverse(multiply(X1,inverse(X0)))),X1))) = X2,
inference(superposition,[],[f2216,f5289]) ).
fof(f5398,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(inverse(X2)))) = multiply(X4,inverse(multiply(inverse(X0),multiply(X0,multiply(X3,X4))))),
inference(superposition,[],[f16,f5289]) ).
fof(f5407,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(X1,inverse(multiply(inverse(multiply(multiply(X2,X0),multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4)))),multiply(X5,multiply(multiply(inverse(X5),inverse(inverse(X2))),X1))))) = X4,
inference(superposition,[],[f4,f5289]) ).
fof(f5427,plain,
! [X2,X3,X0,X1] : multiply(X3,X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(X0)),inverse(X3)))),X2)),
inference(superposition,[],[f1075,f5289]) ).
fof(f5432,plain,
! [X2,X0,X1] : inverse(multiply(X1,X0)) = multiply(X2,multiply(multiply(inverse(X2),inverse(X0)),inverse(X1))),
inference(superposition,[],[f3776,f5289]) ).
fof(f5433,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = inverse(inverse(multiply(inverse(X0),inverse(inverse(inverse(X1)))))),
inference(forward_demodulation,[],[f5432,f4330]) ).
fof(f5438,plain,
! [X2,X3,X0] : multiply(X3,X0) = inverse(inverse(multiply(inverse(multiply(multiply(X2,inverse(X0)),inverse(X3))),inverse(inverse(X2))))),
inference(forward_demodulation,[],[f5427,f4330]) ).
fof(f5456,plain,
! [X2,X3,X0,X4,X5] : multiply(inverse(multiply(inverse(X5),inverse(inverse(X2)))),inverse(multiply(inverse(multiply(multiply(X2,X0),multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4)))),X5))) = X4,
inference(forward_demodulation,[],[f5407,f5083]) ).
fof(f5460,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,X3))),inverse(inverse(X2)))) = multiply(inverse(X3),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f5398,f5083]) ).
fof(f5481,plain,
! [X2,X0] : multiply(X2,inverse(multiply(inverse(X0),X0))) = X2,
inference(forward_demodulation,[],[f5371,f4227]) ).
fof(f5506,plain,
! [X2,X3,X0,X1,X4] : multiply(X1,X0) = inverse(multiply(X2,multiply(X3,inverse(multiply(multiply(X1,multiply(X0,inverse(X4))),multiply(X4,multiply(X2,X3))))))),
inference(forward_demodulation,[],[f5326,f5353]) ).
fof(f5525,plain,
! [X0,X1] : inverse(multiply(X1,X0)) = multiply(inverse(X0),inverse(inverse(inverse(X1)))),
inference(forward_demodulation,[],[f5433,f5361]) ).
fof(f5530,plain,
! [X2,X3,X0] : multiply(X3,X0) = multiply(inverse(multiply(multiply(X2,inverse(X0)),inverse(X3))),inverse(inverse(X2))),
inference(forward_demodulation,[],[f5438,f5361]) ).
fof(f5548,plain,
! [X2,X3,X0,X4] : inverse(multiply(inverse(multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4))),inverse(multiply(inverse(X2),multiply(X2,X0))))) = X4,
inference(forward_demodulation,[],[f5456,f5212]) ).
fof(f5549,plain,
! [X2,X3,X0] : multiply(inverse(X3),inverse(multiply(inverse(X0),X0))) = inverse(inverse(multiply(inverse(multiply(X2,X3)),inverse(inverse(inverse(inverse(X2))))))),
inference(forward_demodulation,[],[f5460,f4330]) ).
fof(f5574,plain,
! [X2,X0,X1,X4] : multiply(X1,X0) = inverse(inverse(inverse(inverse(multiply(multiply(X1,multiply(X0,inverse(X4))),multiply(X4,multiply(X2,inverse(X2)))))))),
inference(forward_demodulation,[],[f5506,f4099]) ).
fof(f5591,plain,
! [X0,X1] : multiply(inverse(X0),inverse(X1)) = inverse(multiply(X1,X0)),
inference(forward_demodulation,[],[f5525,f5343]) ).
fof(f5594,plain,
! [X2,X3,X0] : multiply(X3,X0) = multiply(inverse(multiply(multiply(X2,inverse(X0)),inverse(X3))),X2),
inference(forward_demodulation,[],[f5530,f5343]) ).
fof(f5609,plain,
! [X3,X0,X4] : inverse(multiply(inverse(multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4))),inverse(X0))) = X4,
inference(forward_demodulation,[],[f5548,f5289]) ).
fof(f5610,plain,
! [X2,X3,X0] : multiply(inverse(X3),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(X2,X3)),inverse(inverse(inverse(inverse(X2))))),
inference(forward_demodulation,[],[f5549,f5361]) ).
fof(f5624,plain,
! [X2,X0,X1,X4] : multiply(X1,X0) = multiply(multiply(X1,multiply(X0,inverse(X4))),multiply(X4,multiply(X2,inverse(X2)))),
inference(forward_demodulation,[],[f5574,f4864]) ).
fof(f5648,plain,
! [X3,X0,X4] : inverse(inverse(multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4))))) = X4,
inference(forward_demodulation,[],[f5609,f5591]) ).
fof(f5649,plain,
! [X2,X3,X0] : multiply(inverse(multiply(X2,X3)),inverse(inverse(X2))) = multiply(inverse(X3),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f5610,f5343]) ).
fof(f5662,plain,
! [X0,X1,X4] : multiply(X1,X0) = multiply(multiply(X1,multiply(X0,inverse(X4))),inverse(inverse(inverse(inverse(X4))))),
inference(forward_demodulation,[],[f5624,f4175]) ).
fof(f5680,plain,
! [X3,X0,X4] : multiply(X0,multiply(X3,multiply(multiply(inverse(X3),inverse(X0)),X4))) = X4,
inference(forward_demodulation,[],[f5648,f5361]) ).
fof(f5681,plain,
! [X2,X3] : inverse(X3) = multiply(inverse(multiply(X2,X3)),inverse(inverse(X2))),
inference(forward_demodulation,[],[f5649,f5481]) ).
fof(f5689,plain,
! [X0,X1,X4] : multiply(X1,X0) = multiply(multiply(X1,multiply(X0,inverse(X4))),X4),
inference(forward_demodulation,[],[f5662,f4864]) ).
fof(f5699,plain,
! [X0,X4] : inverse(inverse(multiply(multiply(inverse(inverse(X0)),inverse(X0)),X4))) = X4,
inference(forward_demodulation,[],[f5680,f4124]) ).
fof(f5700,plain,
! [X2,X3] : inverse(X3) = multiply(inverse(multiply(X2,X3)),X2),
inference(forward_demodulation,[],[f5681,f5343]) ).
fof(f5713,plain,
! [X0,X4] : multiply(multiply(inverse(inverse(X0)),inverse(X0)),X4) = X4,
inference(forward_demodulation,[],[f5699,f5361]) ).
fof(f5723,plain,
! [X0,X4] : multiply(inverse(multiply(X0,inverse(X0))),X4) = X4,
inference(forward_demodulation,[],[f5713,f5591]) ).
fof(f5740,plain,
! [X2,X3,X0,X1,X4] : inverse(inverse(multiply(X1,multiply(X2,multiply(X3,X4))))) = multiply(inverse(multiply(inverse(X0),inverse(multiply(X1,multiply(X2,multiply(X3,inverse(X0))))))),X4),
inference(superposition,[],[f5700,f223]) ).
fof(f5742,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),inverse(multiply(X1,X2))),inverse(X3)))),X5),
inference(superposition,[],[f5700,f16]) ).
fof(f5757,plain,
! [X0,X1] : inverse(inverse(X1)) = multiply(inverse(multiply(X0,inverse(X0))),X1),
inference(superposition,[],[f5700,f2660]) ).
fof(f5758,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(inverse(multiply(X0,inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),multiply(X3,multiply(X4,X0)))))),X5),
inference(superposition,[],[f5700,f16]) ).
fof(f5767,plain,
! [X2,X3,X0,X1] : inverse(multiply(multiply(inverse(X3),X1),X2)) = multiply(inverse(multiply(X0,multiply(multiply(inverse(X0),X1),X2))),X3),
inference(superposition,[],[f5700,f1138]) ).
fof(f5768,plain,
! [X0,X1] : inverse(multiply(inverse(X1),X0)) = multiply(inverse(inverse(inverse(X0))),X1),
inference(superposition,[],[f5700,f3958]) ).
fof(f5804,plain,
! [X0,X1] : multiply(X1,inverse(inverse(X0))) = multiply(inverse(inverse(X1)),X0),
inference(superposition,[],[f4250,f5700]) ).
fof(f5844,plain,
! [X2,X3,X0,X1] : multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(inverse(X0))),inverse(multiply(X3,X0))))),X2)) = X3,
inference(superposition,[],[f1075,f5700]) ).
fof(f5943,plain,
! [X2,X3,X0] : inverse(inverse(multiply(inverse(multiply(multiply(X2,inverse(inverse(X0))),inverse(multiply(X3,X0)))),inverse(inverse(X2))))) = X3,
inference(forward_demodulation,[],[f5844,f4330]) ).
fof(f5979,plain,
! [X0,X1] : multiply(X1,X0) = multiply(X1,inverse(inverse(X0))),
inference(forward_demodulation,[],[f5804,f5353]) ).
fof(f6008,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(multiply(inverse(X1),X0)),
inference(forward_demodulation,[],[f5768,f5353]) ).
fof(f6012,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(inverse(multiply(inverse(X4),inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),X3)))),X5),
inference(forward_demodulation,[],[f5758,f5083]) ).
fof(f6013,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f5757,f5723]) ).
fof(f6028,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = inverse(multiply(multiply(inverse(X5),inverse(multiply(X1,X2))),inverse(X3))),
inference(forward_demodulation,[],[f5742,f5767]) ).
fof(f6030,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(X1,multiply(X2,multiply(X3,X4))))) = multiply(inverse(multiply(inverse(X3),inverse(multiply(X1,X2)))),X4),
inference(forward_demodulation,[],[f5740,f5083]) ).
fof(f6078,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(X2,inverse(inverse(X0))),inverse(multiply(X3,X0)))),inverse(inverse(X2))) = X3,
inference(forward_demodulation,[],[f5943,f5361]) ).
fof(f6134,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(multiply(inverse(inverse(multiply(multiply(X1,multiply(X2,inverse(X3))),X3))),X4),X5),
inference(forward_demodulation,[],[f6012,f6008]) ).
fof(f6146,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = inverse(multiply(inverse(multiply(multiply(X1,X2),X5)),inverse(X3))),
inference(forward_demodulation,[],[f6028,f5591]) ).
fof(f6148,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(X1,multiply(X2,multiply(X3,X4))))) = multiply(multiply(inverse(inverse(multiply(X1,X2))),X3),X4),
inference(forward_demodulation,[],[f6030,f6008]) ).
fof(f6184,plain,
! [X2,X3,X0] : multiply(inverse(multiply(multiply(X2,inverse(inverse(X0))),inverse(multiply(X3,X0)))),X2) = X3,
inference(forward_demodulation,[],[f6078,f5979]) ).
fof(f6228,plain,
! [X2,X3,X1,X4,X5] : inverse(multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(multiply(multiply(multiply(X1,multiply(X2,inverse(X3))),X3),X4),X5),
inference(forward_demodulation,[],[f6134,f5353]) ).
fof(f6240,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = multiply(inverse(inverse(X3)),multiply(multiply(X1,X2),X5)),
inference(forward_demodulation,[],[f6146,f6008]) ).
fof(f6242,plain,
! [X2,X3,X1,X4] : inverse(inverse(multiply(X1,multiply(X2,multiply(X3,X4))))) = multiply(multiply(multiply(X1,X2),X3),X4),
inference(forward_demodulation,[],[f6148,f5353]) ).
fof(f6269,plain,
! [X3,X0] : multiply(multiply(X3,X0),inverse(X0)) = X3,
inference(forward_demodulation,[],[f6184,f5594]) ).
fof(f6301,plain,
! [X2,X1,X4,X5] : inverse(multiply(multiply(inverse(X5),inverse(multiply(X2,X4))),inverse(X1))) = multiply(multiply(multiply(X1,X2),X4),X5),
inference(forward_demodulation,[],[f6228,f5689]) ).
fof(f6311,plain,
! [X2,X3,X1,X4,X5] : inverse(inverse(multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))))) = multiply(X3,multiply(multiply(X1,X2),X5)),
inference(forward_demodulation,[],[f6240,f5353]) ).
fof(f6313,plain,
! [X2,X3,X1,X4] : multiply(X1,multiply(X2,multiply(X3,X4))) = multiply(multiply(multiply(X1,X2),X3),X4),
inference(forward_demodulation,[],[f6242,f5361]) ).
fof(f6359,plain,
! [X2,X1,X4,X5] : multiply(multiply(multiply(X1,X2),X4),X5) = inverse(multiply(inverse(multiply(multiply(X2,X4),X5)),inverse(X1))),
inference(forward_demodulation,[],[f6301,f5591]) ).
fof(f6367,plain,
! [X2,X3,X1,X4,X5] : multiply(multiply(X3,multiply(X1,inverse(X4))),multiply(X4,multiply(X2,X5))) = multiply(X3,multiply(multiply(X1,X2),X5)),
inference(forward_demodulation,[],[f6311,f5361]) ).
fof(f6398,plain,
! [X2,X1,X4,X5] : multiply(multiply(multiply(X1,X2),X4),X5) = multiply(inverse(inverse(X1)),multiply(multiply(X2,X4),X5)),
inference(forward_demodulation,[],[f6359,f6008]) ).
fof(f6422,plain,
! [X2,X1,X4,X5] : multiply(X1,multiply(multiply(X2,X4),X5)) = multiply(multiply(multiply(X1,X2),X4),X5),
inference(forward_demodulation,[],[f6398,f5353]) ).
fof(f6443,plain,
! [X2,X1,X4,X5] : multiply(X1,multiply(multiply(X2,X4),X5)) = multiply(X1,multiply(X2,multiply(X4,X5))),
inference(forward_demodulation,[],[f6422,f6313]) ).
fof(f6485,plain,
! [X2,X3,X0,X1,X4] : inverse(X0) = multiply(multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),inverse(X4))),multiply(X4,multiply(X2,X3))),
inference(superposition,[],[f6013,f1027]) ).
fof(f6611,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X1,multiply(multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),X2),X3)),
inference(forward_demodulation,[],[f6485,f6367]) ).
fof(f6656,plain,
! [X2,X3,X0,X1] : inverse(X0) = multiply(X1,multiply(multiply(inverse(X1),inverse(multiply(X2,multiply(X3,X0)))),multiply(X2,X3))),
inference(forward_demodulation,[],[f6611,f6443]) ).
fof(f6693,plain,
! [X2,X3,X0] : inverse(X0) = inverse(inverse(multiply(inverse(multiply(X2,multiply(X3,X0))),inverse(inverse(multiply(X2,X3)))))),
inference(forward_demodulation,[],[f6656,f4330]) ).
fof(f6724,plain,
! [X2,X3,X0] : inverse(X0) = multiply(inverse(multiply(X2,multiply(X3,X0))),inverse(inverse(multiply(X2,X3)))),
inference(forward_demodulation,[],[f6693,f5361]) ).
fof(f6750,plain,
! [X2,X3,X0] : inverse(X0) = multiply(inverse(multiply(X2,multiply(X3,X0))),multiply(X2,X3)),
inference(forward_demodulation,[],[f6724,f5979]) ).
fof(f6825,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(X2)) = multiply(inverse(X1),inverse(multiply(multiply(X2,inverse(multiply(X3,multiply(X1,X0)))),X3))),
inference(superposition,[],[f6269,f2025]) ).
fof(f6837,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(X0,X2)))) = multiply(X0,inverse(inverse(multiply(X2,multiply(X1,multiply(X3,inverse(X3))))))),
inference(superposition,[],[f6269,f2803]) ).
fof(f7015,plain,
! [X2,X3,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(X0,X2)))) = multiply(X0,multiply(X2,multiply(X1,multiply(X3,inverse(X3))))),
inference(forward_demodulation,[],[f6837,f5979]) ).
fof(f7027,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(X2)) = inverse(multiply(multiply(multiply(X2,inverse(multiply(X3,multiply(X1,X0)))),X3),X1)),
inference(forward_demodulation,[],[f6825,f5591]) ).
fof(f7104,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(X0,X2)))) = multiply(X0,multiply(X2,inverse(inverse(inverse(inverse(X1)))))),
inference(forward_demodulation,[],[f7015,f4175]) ).
fof(f7116,plain,
! [X2,X3,X0,X1] : multiply(X0,inverse(X2)) = inverse(multiply(X2,multiply(inverse(multiply(X3,multiply(X1,X0))),multiply(X3,X1)))),
inference(forward_demodulation,[],[f7027,f6313]) ).
fof(f7183,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(X0,X2)))) = multiply(X0,multiply(X2,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f7104,f5979]) ).
fof(f7195,plain,
! [X2,X0] : multiply(X0,inverse(X2)) = inverse(multiply(X2,inverse(X0))),
inference(forward_demodulation,[],[f7116,f6750]) ).
fof(f7248,plain,
! [X2,X0,X1] : inverse(multiply(inverse(X1),inverse(multiply(X0,X2)))) = multiply(X0,multiply(X2,X1)),
inference(forward_demodulation,[],[f7183,f5979]) ).
fof(f7302,plain,
! [X2,X0,X1] : multiply(X0,multiply(X2,X1)) = multiply(multiply(X0,X2),inverse(inverse(X1))),
inference(forward_demodulation,[],[f7248,f7195]) ).
fof(f7348,plain,
! [X2,X0,X1] : multiply(X0,multiply(X2,X1)) = multiply(multiply(X0,X2),X1),
inference(forward_demodulation,[],[f7302,f5979]) ).
fof(f7598,plain,
a2 != multiply(inverse(b2),multiply(b2,a2)),
inference(superposition,[],[f3,f7348]) ).
fof(f7871,plain,
$false,
inference(forward_subsumption_resolution,[],[f7598,f5289]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP437-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n018.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 10:06:54 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 14.37/2.98 % (2097123)Detected a unit-equality problem, will run specialized UEQ schedule.
% 14.37/2.98 % (2097128)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=1612005783:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 14.37/2.98 % (2097134)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1323888088:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 14.37/2.98 % (2097132)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1371727255:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 14.37/2.98 % (2097129)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=2365418427:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 14.37/2.98 % (2097131)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3340769055:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 14.37/2.98 % (2097130)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2736633814:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 14.37/2.98 % (2097133)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1485963778:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 14.37/2.98 % (2097131)Instruction limit reached!
% 14.37/2.98 % (2097131)------------------------------
% 14.37/2.98 % (2097131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097131)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097131)Termination reason: Instruction limit
% 14.37/2.98 % (2097131)Termination phase: Saturation
% 14.37/2.98 % (2097131)Time elapsed: 0.080 s
% 14.37/2.98 % (2097131)Peak memory usage: 89 MB
% 14.37/2.98 % (2097131)Instructions burned: 136 (million)
% 14.37/2.98 % (2097132)Instruction limit reached!
% 14.37/2.98 % (2097132)------------------------------
% 14.37/2.98 % (2097132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097132)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097132)Termination reason: Instruction limit
% 14.37/2.98 % (2097132)Termination phase: Saturation
% 14.37/2.98 % (2097132)Time elapsed: 0.098 s
% 14.37/2.98 % (2097132)Peak memory usage: 89 MB
% 14.37/2.98 % (2097132)Instructions burned: 183 (million)
% 14.37/2.98 % (2097133)Instruction limit reached!
% 14.37/2.98 % (2097133)------------------------------
% 14.37/2.98 % (2097133)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097133)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097133)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097133)Termination reason: Instruction limit
% 14.37/2.98 % (2097133)Termination phase: Saturation
% 14.37/2.98 % (2097133)Time elapsed: 0.161 s
% 14.37/2.98 % (2097133)Peak memory usage: 91 MB
% 14.37/2.98 % (2097133)Instructions burned: 259 (million)
% 14.37/2.98 % (2097142)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1118202426:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 14.37/2.98 % (2097143)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2080357090:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 14.37/2.98 % (2097144)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3037118354:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 14.37/2.98 % (2097144)Instruction limit reached!
% 14.37/2.98 % (2097144)------------------------------
% 14.37/2.98 % (2097144)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097144)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097144)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097144)Termination reason: Instruction limit
% 14.37/2.98 % (2097144)Termination phase: Saturation
% 14.37/2.98 % (2097144)Time elapsed: 0.133 s
% 14.37/2.98 % (2097144)Peak memory usage: 91 MB
% 14.37/2.98 % (2097144)Instructions burned: 215 (million)
% 14.37/2.98 % (2097148)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=238304780: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)
% 14.37/2.98 % (2097134)Instruction limit reached!
% 14.37/2.98 % (2097134)------------------------------
% 14.37/2.98 % (2097134)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097134)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097134)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097134)Termination reason: Instruction limit
% 14.37/2.98 % (2097134)Termination phase: Saturation
% 14.37/2.98 % (2097134)Time elapsed: 0.632 s
% 14.37/2.98 % (2097134)Peak memory usage: 98 MB
% 14.37/2.98 % (2097134)Instructions burned: 1188 (million)
% 14.37/2.98 % (2097148)Instruction limit reached!
% 14.37/2.98 % (2097148)------------------------------
% 14.37/2.98 % (2097148)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097148)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097148)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097148)Termination reason: Instruction limit
% 14.37/2.98 % (2097148)Termination phase: Saturation
% 14.37/2.98 % (2097148)Time elapsed: 0.184 s
% 14.37/2.98 % (2097148)Peak memory usage: 93 MB
% 14.37/2.98 % (2097148)Instructions burned: 317 (million)
% 14.37/2.98 % (2097150)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=2458178363:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 14.37/2.98 % (2097151)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3082922300:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 14.37/2.98 % (2097142)Instruction limit reached!
% 14.37/2.98 % (2097142)------------------------------
% 14.37/2.98 % (2097142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.37/2.98 % (2097142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.37/2.98 % (2097142)CaDiCaL version: 2.1.3
% 14.37/2.98 % (2097142)Termination reason: Instruction limit
% 14.37/2.98 % (2097142)Termination phase: Saturation
% 14.37/2.98 % (2097142)Time elapsed: 1.239 s
% 14.37/2.98 % (2097142)Peak memory usage: 139 MB
% 14.37/2.98 % (2097142)Instructions burned: 2053 (million)
% 14.37/2.98 % (2097154)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3739000962:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2984 on theBenchmark for (2984ds/14534Mi)
% 14.37/2.98 % (2097129)First to succeed.
% 14.37/2.98 % (2097128)Also succeeded, but the first one will report.
% 14.37/2.98 % (2097129)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2097123"
% 14.37/2.98 % (2097156)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2284059041:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/11832Mi)
% 14.37/2.98 % (2097129)Refutation found. Thanks to Tanya!
% 14.37/2.98 % SZS status Unsatisfiable for theBenchmark
% 14.37/2.98 % SZS output start Proof for theBenchmark
% See solution above
% 15.61/3.17 % (2097129)------------------------------
% 15.61/3.17 % (2097129)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.61/3.17 % (2097129)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.61/3.17 % (2097129)CaDiCaL version: 2.1.3
% 15.61/3.17 % (2097129)Termination reason: Refutation
% 15.61/3.17 % (2097129)Time elapsed: 1.678 s
% 15.61/3.17 % (2097129)Peak memory usage: 148 MB
% 15.61/3.17 % (2097129)Instructions burned: 2886 (million)
% 15.61/3.17 % (2097129)------------------------------
% 15.61/3.17 % (2097129)------------------------------
% 15.61/3.17 % (2097123)Success in time 2.118 s
% 15.61/3.17 % Vampire exiting
%------------------------------------------------------------------------------