%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP426-1 : TPTP v9.3.1. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:13:58 AM UTC 2026
% Result : Unsatisfiable 12.80s 2.68s
% Output : Refutation 13.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 2
% Syntax : Number of formulae : 121 ( 121 unt; 0 def)
% Number of atoms : 121 ( 120 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 4 avg)
% Maximal term depth : 14 ( 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 : 371 ( 371 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).
fof(f3,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X2,inverse(multiply(inverse(X0),X3)))),multiply(X2,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(inverse(multiply(inverse(X3),X3)))))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f1,f1]) ).
fof(f4,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X2)))),inverse(multiply(inverse(X2),X2))) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f5,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X3),multiply(inverse(X2),X2))))),X0)),inverse(multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(X2),X2)))) = X3,
inference(superposition,[],[f1,f1]) ).
fof(f30,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(X1),X2)))),multiply(X0,inverse(X2))) = multiply(inverse(multiply(X3,inverse(multiply(inverse(X1),X2)))),multiply(X3,inverse(X2))),
inference(superposition,[],[f3,f3]) ).
fof(f33,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(inverse(multiply(inverse(X2),X2))),inverse(multiply(inverse(X2),X2)))))),inverse(multiply(inverse(X2),X2))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f36,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2)))),multiply(X0,inverse(X2))) = X1,
inference(superposition,[],[f1,f3]) ).
fof(f56,plain,
! [X2,X3,X0,X1] : multiply(X2,inverse(multiply(inverse(multiply(inverse(X0),inverse(multiply(inverse(X3),X3)))),X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3)))))),inverse(multiply(inverse(multiply(X2,inverse(X3))),multiply(X2,inverse(X3))))),
inference(superposition,[],[f1,f36]) ).
fof(f74,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,inverse(X3))))) = multiply(inverse(multiply(X4,inverse(X0))),multiply(X4,inverse(multiply(X2,inverse(X3))))),
inference(superposition,[],[f30,f36]) ).
fof(f119,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(multiply(X5,inverse(X2))),multiply(X5,inverse(X0))),
inference(superposition,[],[f74,f4]) ).
fof(f297,plain,
! [X2,X3,X0,X1,X4] : multiply(X4,inverse(X1)) = multiply(inverse(multiply(inverse(multiply(X3,inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))))),multiply(X3,inverse(multiply(X4,inverse(X2)))))),inverse(multiply(inverse(multiply(X4,inverse(X2))),multiply(X4,inverse(X2))))),
inference(superposition,[],[f1,f119]) ).
fof(f298,plain,
! [X2,X0,X1,X4] : multiply(X4,inverse(X1)) = multiply(X4,inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))),
inference(forward_demodulation,[],[f297,f56]) ).
fof(f328,plain,
! [X2,X0,X1] : multiply(X0,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),multiply(X0,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2))) = X1,
inference(superposition,[],[f1,f56]) ).
fof(f402,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3)))),multiply(X1,inverse(X4))) = multiply(inverse(X0),multiply(X2,inverse(X4))),
inference(superposition,[],[f119,f328]) ).
fof(f403,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X3,inverse(X2))),X0) = multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),
inference(superposition,[],[f119,f328]) ).
fof(f445,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X3)))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f1,f298]) ).
fof(f1198,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(inverse(multiply(inverse(X4),X4))),inverse(multiply(inverse(X4),X4)))))),inverse(multiply(inverse(X4),X4))),
inference(superposition,[],[f33,f298]) ).
fof(f1273,plain,
! [X2,X3,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(X2,inverse(X1))),multiply(X2,inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3) = X1,
inference(forward_demodulation,[],[f1198,f33]) ).
fof(f1275,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X2)))),inverse(X3)))),inverse(multiply(inverse(X3),X3)))),X3),
inference(superposition,[],[f1273,f1]) ).
fof(f1470,plain,
! [X0,X1] : multiply(inverse(X1),X1) = multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1))))),multiply(inverse(X1),X1)),
inference(superposition,[],[f1275,f1]) ).
fof(f1605,plain,
! [X2,X0,X1] : multiply(inverse(X2),X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X0)))),multiply(X1,inverse(multiply(inverse(X0),X0)))),
inference(superposition,[],[f36,f1470]) ).
fof(f1659,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(superposition,[],[f1605,f1605]) ).
fof(f1979,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X2),X2)))),X2) = X2,
inference(superposition,[],[f1273,f1659]) ).
fof(f2094,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X0),X0)))),X2) = X2,
inference(superposition,[],[f1979,f1659]) ).
fof(f2212,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2)))),X3) = X3,
inference(superposition,[],[f2094,f2094]) ).
fof(f2282,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),X0)),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(X2),X2)))),X2) = X2,
inference(superposition,[],[f1979,f2094]) ).
fof(f2344,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(X3),X0)))),inverse(X0)) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(superposition,[],[f3,f2094]) ).
fof(f2352,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),X0)))),inverse(X0)) = X3,
inference(superposition,[],[f36,f2094]) ).
fof(f2353,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),X0))) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(X0))))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))),
inference(superposition,[],[f56,f2094]) ).
fof(f2363,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4)))),inverse(X2))),inverse(X0)),
inference(superposition,[],[f119,f2094]) ).
fof(f2368,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(X3),multiply(X4,inverse(X0))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X1),X1)),inverse(multiply(inverse(X2),X2)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))),inverse(X0)),
inference(superposition,[],[f402,f2094]) ).
fof(f2369,plain,
! [X2,X3,X0,X1,X4,X5] : multiply(inverse(multiply(X1,inverse(X0))),X2) = multiply(inverse(inverse(X0)),multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4)))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5)))),
inference(superposition,[],[f403,f2094]) ).
fof(f2374,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0)))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),X3)),inverse(multiply(inverse(X4),X4)))),inverse(X2))),inverse(X0))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f445,f2094]) ).
fof(f2389,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0)))),inverse(multiply(inverse(X0),X0))) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(X0))),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f2374,f2094]) ).
fof(f2394,plain,
! [X2,X0,X1,X5] : multiply(inverse(multiply(X1,inverse(X0))),X2) = multiply(inverse(inverse(X0)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X1,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5))),
inference(forward_demodulation,[],[f2369,f2094]) ).
fof(f2395,plain,
! [X3,X0,X4,X5] : multiply(inverse(X3),multiply(X4,inverse(X0))) = multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X4,inverse(X5)))),inverse(multiply(inverse(X5),X5)))),X5))),inverse(X0)),
inference(forward_demodulation,[],[f2368,f2094]) ).
fof(f2400,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X0))) = multiply(inverse(inverse(X2)),inverse(X0)),
inference(forward_demodulation,[],[f2363,f2094]) ).
fof(f2409,plain,
! [X3,X0,X4] : inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),X0)) = multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(X0))))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))),
inference(forward_demodulation,[],[f2353,f2094]) ).
fof(f2410,plain,
! [X3,X0] : multiply(inverse(inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),X0))),inverse(X0)) = X3,
inference(forward_demodulation,[],[f2352,f2094]) ).
fof(f2418,plain,
! [X3,X0,X4] : multiply(inverse(multiply(inverse(multiply(X4,inverse(X3))),multiply(X4,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(inverse(multiply(inverse(X3),X0))),inverse(X0)),
inference(forward_demodulation,[],[f2344,f2094]) ).
fof(f2448,plain,
! [X2] : multiply(inverse(inverse(multiply(inverse(X2),X2))),X2) = X2,
inference(forward_demodulation,[],[f2282,f2094]) ).
fof(f2460,plain,
! [X2,X3] : multiply(inverse(inverse(multiply(inverse(X2),X2))),X3) = X3,
inference(forward_demodulation,[],[f2212,f2094]) ).
fof(f2462,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(X0),X0)))),X0)) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(inverse(X0)))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))),
inference(forward_demodulation,[],[f2409,f2389]) ).
fof(f2463,plain,
! [X3,X0] : multiply(inverse(multiply(inverse(inverse(X3)),inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(inverse(multiply(inverse(X3),X0))),inverse(X0)),
inference(forward_demodulation,[],[f2418,f2389]) ).
fof(f2470,plain,
! [X3,X0] : inverse(multiply(inverse(multiply(inverse(X3),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))),multiply(inverse(X0),X0))) = multiply(inverse(inverse(multiply(inverse(X3),X0))),inverse(X0)),
inference(forward_demodulation,[],[f2463,f2462]) ).
fof(f2496,plain,
! [X0,X1] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))) = multiply(inverse(multiply(X1,inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X0)))),multiply(X1,inverse(X0))),
inference(superposition,[],[f36,f2448]) ).
fof(f2497,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X0,inverse(X2))),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))))) = multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(inverse(X1),X1)))),X1)))),
inference(superposition,[],[f403,f2448]) ).
fof(f2610,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X0,inverse(X2))),inverse(multiply(inverse(multiply(X0,inverse(X1))),multiply(X0,inverse(X1))))) = multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(inverse(X1),X1)))),X1))),
inference(forward_demodulation,[],[f2497,f2400]) ).
fof(f2611,plain,
! [X0] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))) = multiply(inverse(inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),X0))),inverse(X0)),
inference(forward_demodulation,[],[f2496,f2400]) ).
fof(f2631,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(multiply(X0,inverse(X1))),inverse(multiply(inverse(X1),X1)))),X1))) = multiply(inverse(multiply(X0,inverse(X2))),inverse(multiply(inverse(inverse(X1)),inverse(X1)))),
inference(forward_demodulation,[],[f2610,f2400]) ).
fof(f2632,plain,
! [X0] : inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0)))) = multiply(inverse(inverse(X0)),inverse(X0)),
inference(forward_demodulation,[],[f2611,f2448]) ).
fof(f2637,plain,
! [X0] : inverse(inverse(multiply(inverse(X0),X0))) = multiply(inverse(inverse(X0)),inverse(X0)),
inference(forward_demodulation,[],[f2632,f2460]) ).
fof(f2788,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X0)) = multiply(inverse(X1),X1),
inference(superposition,[],[f1659,f2460]) ).
fof(f2853,plain,
! [X2,X0,X1] : multiply(inverse(inverse(multiply(inverse(X1),X1))),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),inverse(X0))),inverse(multiply(inverse(X0),X0)))),X0))) = X2,
inference(superposition,[],[f328,f2460]) ).
fof(f2884,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(X1),X1)))),inverse(multiply(inverse(inverse(X0)),inverse(X0)))) = X2,
inference(forward_demodulation,[],[f2853,f2631]) ).
fof(f3072,plain,
! [X2,X0] : multiply(inverse(multiply(inverse(X0),X0)),X2) = X2,
inference(superposition,[],[f2460,f2788]) ).
fof(f3106,plain,
! [X2,X0,X1] : multiply(multiply(inverse(X0),X0),multiply(inverse(inverse(multiply(inverse(multiply(inverse(X1),inverse(multiply(inverse(X2),X2)))),X2))),inverse(X2))) = X1,
inference(superposition,[],[f36,f2788]) ).
fof(f3132,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(multiply(inverse(X0),X0),X3)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),multiply(inverse(X2),X2))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(superposition,[],[f5,f2788]) ).
fof(f3253,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4))),inverse(X2))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f403,f2788]) ).
fof(f3278,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(X2))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f119,f2788]) ).
fof(f3283,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(X2),multiply(X3,inverse(X1))) = multiply(inverse(multiply(inverse(inverse(X1)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X2),multiply(X3,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),inverse(multiply(inverse(X0),X0))),
inference(superposition,[],[f402,f2788]) ).
fof(f3296,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(X2))),inverse(multiply(inverse(X0),X0)))),inverse(multiply(inverse(inverse(multiply(inverse(X3),X3))),inverse(multiply(inverse(X3),X3))))),
inference(superposition,[],[f3,f2788]) ).
fof(f3297,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(inverse(inverse(multiply(inverse(X3),X3)))),inverse(X2)),
inference(forward_demodulation,[],[f3296,f2884]) ).
fof(f3308,plain,
! [X2,X3,X0,X1] : multiply(inverse(X2),multiply(X3,inverse(X1))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X1))),X2)),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f3283,f2394]) ).
fof(f3311,plain,
! [X2,X3,X0] : multiply(inverse(inverse(X2)),inverse(X3)) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(X2))),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f3278,f2400]) ).
fof(f3329,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X2))),X3) = multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f3253,f2395]) ).
fof(f3397,plain,
! [X2,X3,X0,X4] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))),multiply(inverse(X2),X2))),inverse(multiply(inverse(multiply(inverse(X3),X3)),multiply(inverse(X3),X3)))) = X4,
inference(forward_demodulation,[],[f3132,f2400]) ).
fof(f3414,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[],[f3106,f2410]) ).
fof(f3455,plain,
! [X2,X3,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))) = multiply(inverse(multiply(inverse(inverse(X3)),inverse(X3))),inverse(X2)),
inference(forward_demodulation,[],[f3297,f2637]) ).
fof(f3494,plain,
! [X2,X3,X0,X4] : multiply(inverse(multiply(inverse(X2),X2)),multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3))))) = X4,
inference(forward_demodulation,[],[f3397,f3308]) ).
fof(f3518,plain,
! [X2,X3,X1] : inverse(X2) = multiply(inverse(multiply(X1,inverse(multiply(inverse(X2),X3)))),multiply(X1,inverse(X3))),
inference(forward_demodulation,[],[f3455,f3072]) ).
fof(f3538,plain,
! [X3,X0,X4] : multiply(inverse(multiply(inverse(inverse(multiply(multiply(inverse(X0),X0),X3))),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3)))) = X4,
inference(forward_demodulation,[],[f3494,f3072]) ).
fof(f3553,plain,
! [X2,X3] : inverse(X2) = multiply(inverse(inverse(multiply(inverse(X2),X3))),inverse(X3)),
inference(forward_demodulation,[],[f3518,f2400]) ).
fof(f3564,plain,
! [X3,X4] : multiply(inverse(multiply(inverse(inverse(X3)),inverse(X3))),inverse(multiply(inverse(X4),multiply(inverse(X3),X3)))) = X4,
inference(forward_demodulation,[],[f3538,f3414]) ).
fof(f3576,plain,
! [X3,X4] : inverse(multiply(inverse(X4),multiply(inverse(X3),X3))) = X4,
inference(forward_demodulation,[],[f3564,f3072]) ).
fof(f3621,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X0)))),inverse(X0))),inverse(multiply(inverse(X0),X0))) = X2,
inference(superposition,[],[f1,f3414]) ).
fof(f3622,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X0)))),inverse(X0)),
inference(superposition,[],[f3,f3414]) ).
fof(f3696,plain,
! [X2,X3,X0] : multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))) = multiply(inverse(inverse(multiply(inverse(X2),X0))),inverse(X0)),
inference(forward_demodulation,[],[f3622,f3414]) ).
fof(f3697,plain,
! [X2,X0,X1] : multiply(inverse(inverse(X0)),multiply(multiply(inverse(X1),X1),inverse(multiply(inverse(X2),X0)))) = X2,
inference(forward_demodulation,[],[f3621,f3308]) ).
fof(f3746,plain,
! [X2,X3,X0] : inverse(X2) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(X0),X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f3696,f3553]) ).
fof(f3747,plain,
! [X2,X0] : multiply(inverse(inverse(X0)),inverse(multiply(inverse(X2),X0))) = X2,
inference(forward_demodulation,[],[f3697,f3414]) ).
fof(f3771,plain,
! [X2,X0] : inverse(X2) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(inverse(multiply(inverse(X0),X0))))),inverse(multiply(inverse(inverse(multiply(inverse(X0),X0))),inverse(multiply(inverse(X0),X0))))),
inference(forward_demodulation,[],[f3746,f2389]) ).
fof(f3783,plain,
! [X2,X0] : inverse(X2) = inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0))))),multiply(inverse(X0),X0))),
inference(forward_demodulation,[],[f3771,f2462]) ).
fof(f3789,plain,
! [X2,X0] : inverse(X2) = multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(X0),X0)),multiply(inverse(X0),X0)))),
inference(forward_demodulation,[],[f3783,f3576]) ).
fof(f3791,plain,
! [X2,X0] : inverse(X2) = multiply(inverse(X2),multiply(inverse(X0),X0)),
inference(forward_demodulation,[],[f3789,f3576]) ).
fof(f3834,plain,
! [X0,X1] : multiply(inverse(inverse(X1)),multiply(inverse(X0),X0)) = X1,
inference(superposition,[],[f3747,f2788]) ).
fof(f3849,plain,
! [X2,X0,X1] : multiply(inverse(multiply(inverse(multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))),X0)),inverse(multiply(inverse(multiply(inverse(X1),X1)),multiply(inverse(X1),X1)))) = X2,
inference(superposition,[],[f5,f3747]) ).
fof(f3888,plain,
! [X2,X3,X0,X1,X4] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),X3) = multiply(inverse(X0),multiply(inverse(inverse(X2)),inverse(multiply(inverse(multiply(inverse(multiply(inverse(X3),multiply(X1,inverse(X4)))),inverse(multiply(inverse(X4),X4)))),X4)))),
inference(superposition,[],[f403,f3747]) ).
fof(f3890,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X2)),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),multiply(X1,inverse(X3)))),inverse(multiply(inverse(X3),X3))),
inference(superposition,[],[f445,f3747]) ).
fof(f3903,plain,
! [X2,X3,X0] : multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X2)),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(multiply(inverse(inverse(multiply(inverse(X0),X2))),inverse(X3))),inverse(multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f3890,f2389]) ).
fof(f3905,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(multiply(inverse(X0),X2)))),X3) = multiply(inverse(X0),multiply(inverse(multiply(X1,inverse(X2))),X3)),
inference(forward_demodulation,[],[f3888,f2394]) ).
fof(f3942,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X1)))),inverse(multiply(inverse(X2),multiply(inverse(X1),X1))))) = X2,
inference(forward_demodulation,[],[f3849,f3308]) ).
fof(f3954,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(forward_demodulation,[],[f3834,f3791]) ).
fof(f3989,plain,
! [X2,X3,X0] : multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X2)),inverse(X3)))),inverse(multiply(inverse(X3),X3))) = multiply(inverse(inverse(X3)),inverse(multiply(inverse(X0),X2))),
inference(forward_demodulation,[],[f3903,f3311]) ).
fof(f4007,plain,
! [X2,X0,X1] : multiply(inverse(X0),multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X1)),inverse(X1)))),X2)) = X2,
inference(forward_demodulation,[],[f3942,f3576]) ).
fof(f4030,plain,
! [X2,X3,X0] : multiply(X3,inverse(multiply(inverse(X0),X2))) = multiply(inverse(multiply(inverse(X0),multiply(inverse(inverse(X2)),inverse(X3)))),inverse(multiply(inverse(X3),X3))),
inference(forward_demodulation,[],[f3989,f3954]) ).
fof(f4041,plain,
! [X2,X0] : multiply(inverse(X0),multiply(X0,X2)) = X2,
inference(forward_demodulation,[],[f4007,f3576]) ).
fof(f4060,plain,
! [X2,X3,X0] : multiply(X3,inverse(multiply(inverse(X0),X2))) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(X3))),X0),
inference(forward_demodulation,[],[f4030,f3329]) ).
fof(f4084,plain,
! [X2,X3,X0] : multiply(X3,inverse(multiply(inverse(X0),X2))) = multiply(inverse(multiply(X2,inverse(X3))),X0),
inference(forward_demodulation,[],[f4060,f3954]) ).
fof(f4167,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(inverse(inverse(X1))),X0),
inference(superposition,[],[f4041,f3747]) ).
fof(f4178,plain,
! [X2,X3,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))) = multiply(inverse(multiply(inverse(multiply(X3,inverse(X2))),multiply(X3,inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0))))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))),inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))))),
inference(superposition,[],[f3,f4041]) ).
fof(f4184,plain,
! [X0,X1] : multiply(inverse(inverse(multiply(X1,X0))),inverse(X0)) = X1,
inference(superposition,[],[f3747,f4041]) ).
fof(f4188,plain,
! [X0,X1] : multiply(multiply(X1,X0),inverse(X0)) = X1,
inference(forward_demodulation,[],[f4184,f3954]) ).
fof(f4193,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))) = multiply(inverse(multiply(inverse(inverse(X2)),inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))))),inverse(multiply(inverse(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))),inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))))),
inference(forward_demodulation,[],[f4178,f2389]) ).
fof(f4202,plain,
! [X0,X1] : inverse(multiply(inverse(X0),X1)) = multiply(inverse(X1),X0),
inference(forward_demodulation,[],[f4167,f3954]) ).
fof(f4241,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))) = inverse(multiply(inverse(multiply(inverse(X2),inverse(multiply(inverse(multiply(inverse(multiply(X2,X0)),multiply(X2,X0))),multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))))),multiply(inverse(multiply(X2,X0)),multiply(X2,X0)))),
inference(forward_demodulation,[],[f4193,f2462]) ).
fof(f4278,plain,
! [X2,X0,X1] : multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))) = multiply(inverse(inverse(multiply(inverse(X2),multiply(X2,X0)))),inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f4241,f2470]) ).
fof(f4312,plain,
! [X2,X0,X1] : inverse(X2) = multiply(inverse(multiply(X1,inverse(X0))),multiply(X1,inverse(multiply(X2,X0)))),
inference(forward_demodulation,[],[f4278,f3553]) ).
fof(f4337,plain,
! [X2,X0] : inverse(X2) = multiply(inverse(inverse(X0)),inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f4312,f2400]) ).
fof(f4356,plain,
! [X2,X0] : inverse(X2) = multiply(X0,inverse(multiply(X2,X0))),
inference(forward_demodulation,[],[f4337,f3954]) ).
fof(f5841,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2)))),inverse(multiply(inverse(X2),X2)))),X2),
inference(superposition,[],[f1273,f4356]) ).
fof(f5874,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(X2),multiply(inverse(multiply(inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2)))),inverse(X2))),X2)),
inference(forward_demodulation,[],[f5841,f3905]) ).
fof(f5977,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(X2),multiply(X2,inverse(multiply(inverse(X2),inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2)))))))),
inference(forward_demodulation,[],[f5874,f4084]) ).
fof(f6074,plain,
! [X2,X0,X1] : multiply(X0,X1) = inverse(multiply(inverse(X2),inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2)))))),
inference(forward_demodulation,[],[f5977,f4041]) ).
fof(f6160,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(inverse(inverse(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2))))),X2),
inference(forward_demodulation,[],[f6074,f4202]) ).
fof(f6237,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(inverse(inverse(X0)),multiply(X1,inverse(X2))),X2),
inference(forward_demodulation,[],[f6160,f3954]) ).
fof(f6304,plain,
! [X2,X0,X1] : multiply(X0,X1) = multiply(multiply(X0,multiply(X1,inverse(X2))),X2),
inference(forward_demodulation,[],[f6237,f3954]) ).
fof(f11602,plain,
! [X2,X0,X1] : multiply(multiply(X1,X0),X2) = multiply(X1,multiply(X0,X2)),
inference(superposition,[],[f6304,f4188]) ).
fof(f12703,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(superposition,[],[f2,f11602]) ).
fof(f12774,plain,
$false,
inference(trivial_inequality_removal,[],[f12703]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP426-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % 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 10:09:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.80/2.68 % (2391970)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.80/2.68 % (2391981)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4166609374:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.80/2.68 % (2391979)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4099731522:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.80/2.68 % (2391977)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=1243020481:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.80/2.68 % (2391978)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=266500804:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.80/2.68 % (2391976)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=146086421:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.80/2.68 % (2391980)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1103609175:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.80/2.68 % (2391982)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=562262094:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.80/2.68 % (2391981)Instruction limit reached!
% 12.80/2.68 % (2391981)------------------------------
% 12.80/2.68 % (2391981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391981)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391981)Termination reason: Instruction limit
% 12.80/2.68 % (2391981)Termination phase: Saturation
% 12.80/2.68 % (2391981)Time elapsed: 0.079 s
% 12.80/2.68 % (2391981)Peak memory usage: 90 MB
% 12.80/2.68 % (2391981)Instructions burned: 260 (million)
% 12.80/2.68 % (2391979)Instruction limit reached!
% 12.80/2.68 % (2391979)------------------------------
% 12.80/2.68 % (2391979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391979)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391979)Termination reason: Instruction limit
% 12.80/2.68 % (2391979)Termination phase: Saturation
% 12.80/2.68 % (2391979)Time elapsed: 0.075 s
% 12.80/2.68 % (2391979)Peak memory usage: 88 MB
% 12.80/2.68 % (2391979)Instructions burned: 137 (million)
% 12.80/2.68 % (2391980)Instruction limit reached!
% 12.80/2.68 % (2391980)------------------------------
% 12.80/2.68 % (2391980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391980)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391980)Termination reason: Instruction limit
% 12.80/2.68 % (2391980)Termination phase: Saturation
% 12.80/2.68 % (2391980)Time elapsed: 0.098 s
% 12.80/2.68 % (2391980)Peak memory usage: 88 MB
% 12.80/2.68 % (2391980)Instructions burned: 183 (million)
% 12.80/2.68 % (2391990)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1673023294:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.80/2.68 % (2391991)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=568402661:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.80/2.68 % (2391992)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2702324195:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 12.80/2.68 % (2391992)Instruction limit reached!
% 12.80/2.68 % (2391992)------------------------------
% 12.80/2.68 % (2391992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391992)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391992)Termination reason: Instruction limit
% 12.80/2.68 % (2391992)Termination phase: Saturation
% 12.80/2.68 % (2391992)Time elapsed: 0.129 s
% 12.80/2.68 % (2391992)Peak memory usage: 90 MB
% 12.80/2.68 % (2391992)Instructions burned: 215 (million)
% 12.80/2.68 % (2391996)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=2320597242: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)
% 12.80/2.68 % (2391982)Instruction limit reached!
% 12.80/2.68 % (2391982)------------------------------
% 12.80/2.68 % (2391982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391982)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391982)Termination reason: Instruction limit
% 12.80/2.68 % (2391982)Termination phase: Saturation
% 12.80/2.68 % (2391982)Time elapsed: 0.594 s
% 12.80/2.68 % (2391982)Peak memory usage: 94 MB
% 12.80/2.68 % (2391982)Instructions burned: 1188 (million)
% 12.80/2.68 % (2391996)Instruction limit reached!
% 12.80/2.68 % (2391996)------------------------------
% 12.80/2.68 % (2391996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391996)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391996)Termination reason: Instruction limit
% 12.80/2.68 % (2391996)Termination phase: Saturation
% 12.80/2.68 % (2391996)Time elapsed: 0.158 s
% 12.80/2.68 % (2391996)Peak memory usage: 90 MB
% 12.80/2.68 % (2391996)Instructions burned: 318 (million)
% 12.80/2.68 % (2391998)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=754117374:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 12.80/2.68 % (2391990)Instruction limit reached!
% 12.80/2.68 % (2391990)------------------------------
% 12.80/2.68 % (2391990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.80/2.68 % (2391990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.80/2.68 % (2391990)CaDiCaL version: 2.1.3
% 12.80/2.68 % (2391990)Termination reason: Instruction limit
% 12.80/2.68 % (2391990)Termination phase: Saturation
% 12.80/2.68 % (2391990)Time elapsed: 0.688 s
% 12.80/2.68 % (2391990)Peak memory usage: 136 MB
% 12.80/2.68 % (2391990)Instructions burned: 2052 (million)
% 12.80/2.68 % (2391999)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4107897187:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 12.80/2.68 % (2392001)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1093067367:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 12.80/2.68 % (2391977)First to succeed.
% 12.80/2.68 % (2391977)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2391970"
% 12.80/2.68 % (2391991)Also succeeded, but the first one will report.
% 12.80/2.68 % (2391977)Refutation found. Thanks to Tanya!
% 12.80/2.68 % SZS status Unsatisfiable for theBenchmark
% 12.80/2.68 % SZS output start Proof for theBenchmark
% See solution above
% 13.53/2.88 % (2391977)------------------------------
% 13.53/2.88 % (2391977)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.53/2.88 % (2391977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.53/2.88 % (2391977)CaDiCaL version: 2.1.3
% 13.53/2.88 % (2391977)Termination reason: Refutation
% 13.53/2.88 % (2391977)Time elapsed: 1.399 s
% 13.53/2.88 % (2391977)Peak memory usage: 141 MB
% 13.53/2.88 % (2391977)Instructions burned: 2332 (million)
% 13.53/2.88 % (2391977)------------------------------
% 13.53/2.88 % (2391977)------------------------------
% 13.53/2.88 % (2391970)Success in time 1.831 s
% 13.53/2.88 % Vampire exiting
%------------------------------------------------------------------------------