%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:32 AM UTC 2026
% Result : Unsatisfiable 15.84s 3.09s
% Output : Refutation 16.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 44
% Number of leaves : 3
% Syntax : Number of formulae : 120 ( 112 unt; 0 def)
% Number of atoms : 133 ( 132 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 37 ( 24 ~; 13 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 16 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 427 ( 427 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X0,X1] : double_divide(double_divide(X0,inverse(double_divide(X1,X2))),double_divide(inverse(X1),inverse(double_divide(X3,double_divide(X0,X3))))) = X2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,axiom,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| multiply(multiply(inverse(b2),b2),a2) != a2
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).
fof(f4,plain,
( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
| a2 != multiply(multiply(inverse(b2),b2),a2)
| multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
inference(reorient_equations,[],[f3]) ).
fof(f5,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(definition_unfolding,[],[f4,f2,f2,f2,f2,f2,f2,f2,f2]) ).
fof(f6,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))) = double_divide(double_divide(X1,inverse(X0)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X0)))),inverse(double_divide(X5,double_divide(X1,X5))))),
inference(superposition,[],[f1,f1]) ).
fof(f12,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),inverse(double_divide(X9,double_divide(inverse(X3),X9))))),
inference(superposition,[],[f6,f6]) ).
fof(f21,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))) = double_divide(inverse(X0),inverse(double_divide(X3,double_divide(X2,X3)))),
inference(superposition,[],[f6,f6]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,X5) = double_divide(double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(double_divide(X2,inverse(double_divide(X3,X1)))),inverse(double_divide(X4,double_divide(X0,X4))))),double_divide(inverse(X5),inverse(double_divide(X6,double_divide(inverse(X3),X6))))),
inference(superposition,[],[f1,f6]) ).
fof(f28,plain,
! [X2,X8,X6,X7,X5] : double_divide(inverse(X5),inverse(double_divide(X6,double_divide(X7,X6)))) = double_divide(X2,double_divide(X7,inverse(double_divide(X5,double_divide(X8,double_divide(X2,X8)))))),
inference(forward_demodulation,[],[f12,f23]) ).
fof(f62,plain,
! [X2,X3,X0,X1] : double_divide(inverse(double_divide(double_divide(X0,inverse(double_divide(X1,X2))),X0)),inverse(double_divide(X3,double_divide(inverse(X1),X3)))) = X2,
inference(superposition,[],[f1,f28]) ).
fof(f114,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(double_divide(X4,double_divide(X2,X4))) = double_divide(double_divide(X3,inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1)))))),double_divide(inverse(inverse(X0)),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f21]) ).
fof(f121,plain,
! [X2,X1,X4] : inverse(double_divide(X1,double_divide(X2,X1))) = inverse(double_divide(X4,double_divide(X2,X4))),
inference(forward_demodulation,[],[f114,f1]) ).
fof(f165,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,X3) = double_divide(double_divide(X2,inverse(double_divide(X0,double_divide(X1,X0)))),double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4))))),
inference(superposition,[],[f1,f121]) ).
fof(f188,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X2,double_divide(X3,double_divide(X1,X3))) = double_divide(double_divide(X4,inverse(double_divide(X5,double_divide(X2,X5)))),double_divide(inverse(double_divide(X0,double_divide(X1,X0))),inverse(double_divide(X6,double_divide(X4,X6))))),
inference(superposition,[],[f165,f121]) ).
fof(f219,plain,
! [X2,X3,X0,X1] : double_divide(X2,double_divide(X3,double_divide(X1,X3))) = double_divide(X2,double_divide(X0,double_divide(X1,X0))),
inference(forward_demodulation,[],[f188,f165]) ).
fof(f287,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X4,double_divide(X2,X4)) = double_divide(double_divide(X3,inverse(double_divide(X0,double_divide(X1,double_divide(X2,X1))))),double_divide(inverse(X0),inverse(double_divide(X5,double_divide(X3,X5))))),
inference(superposition,[],[f1,f219]) ).
fof(f300,plain,
! [X2,X1,X4] : double_divide(X1,double_divide(X2,X1)) = double_divide(X4,double_divide(X2,X4)),
inference(forward_demodulation,[],[f287,f1]) ).
fof(f320,plain,
! [X2,X3,X0,X1,X4] : double_divide(X1,double_divide(double_divide(X2,inverse(double_divide(X3,X0))),X1)) = double_divide(double_divide(inverse(X3),inverse(double_divide(X4,double_divide(X2,X4)))),X0),
inference(superposition,[],[f300,f1]) ).
fof(f381,plain,
! [X2,X3,X0,X1] : double_divide(X0,double_divide(X1,X0)) = double_divide(double_divide(X2,X1),double_divide(X3,double_divide(X2,X3))),
inference(superposition,[],[f219,f300]) ).
fof(f1067,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(double_divide(inverse(double_divide(X1,X3)),inverse(double_divide(X4,X0))),X2)))) = double_divide(double_divide(inverse(X4),inverse(X3)),X0),
inference(superposition,[],[f6,f62]) ).
fof(f1068,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,X0))),X2),X3))),X0) = X3,
inference(superposition,[],[f1,f62]) ).
fof(f1075,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,X4) = double_divide(X1,double_divide(double_divide(inverse(X2),inverse(double_divide(double_divide(double_divide(X3,inverse(double_divide(X2,X0))),X3),X4))),X1)),
inference(superposition,[],[f320,f62]) ).
fof(f1157,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(double_divide(double_divide(X1,inverse(double_divide(X2,inverse(X2)))),X1)),inverse(double_divide(X0,X3))),X0) = X3,
inference(superposition,[],[f1068,f1068]) ).
fof(f1187,plain,
! [X2,X3,X0,X1,X4] : double_divide(X0,double_divide(double_divide(X1,inverse(double_divide(X2,X3))),X1)) = double_divide(X4,double_divide(double_divide(X0,inverse(double_divide(X2,X3))),X4)),
inference(superposition,[],[f320,f1068]) ).
fof(f1225,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,double_divide(X0,X1)) = double_divide(double_divide(inverse(X4),inverse(double_divide(X6,double_divide(double_divide(inverse(X2),inverse(double_divide(double_divide(double_divide(X3,inverse(double_divide(X2,inverse(double_divide(X4,X5))))),X3),X0))),X6)))),X5),
inference(superposition,[],[f320,f1068]) ).
fof(f1227,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(X5,double_divide(double_divide(inverse(X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X1,inverse(double_divide(X3,X4))))),X2),X0))),X5))))) = X4,
inference(superposition,[],[f1,f1068]) ).
fof(f1228,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X6,X0) = double_divide(inverse(X1),inverse(double_divide(X2,double_divide(double_divide(inverse(X3),inverse(double_divide(double_divide(double_divide(X4,inverse(double_divide(X3,inverse(double_divide(X1,double_divide(X5,double_divide(X6,X5))))))),X4),X0))),X2)))),
inference(superposition,[],[f28,f1068]) ).
fof(f1229,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X1,X2) = double_divide(X0,double_divide(inverse(X2),inverse(double_divide(X6,double_divide(double_divide(inverse(X3),inverse(double_divide(double_divide(double_divide(X4,inverse(double_divide(X3,inverse(double_divide(X5,double_divide(X1,X5)))))),X4),X0))),X6))))),
inference(superposition,[],[f165,f1068]) ).
fof(f1235,plain,
! [X2,X0,X1,X5] : double_divide(X1,X2) = double_divide(X0,double_divide(inverse(X2),inverse(double_divide(inverse(double_divide(X5,double_divide(X1,X5))),X0)))),
inference(forward_demodulation,[],[f1229,f1075]) ).
fof(f1236,plain,
! [X0,X1,X6,X5] : double_divide(X6,X0) = double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X1,double_divide(X5,double_divide(X6,X5)))),X0))),
inference(forward_demodulation,[],[f1228,f1075]) ).
fof(f1237,plain,
! [X3,X0,X4] : double_divide(X0,double_divide(inverse(X3),inverse(double_divide(inverse(double_divide(X3,X4)),X0)))) = X4,
inference(forward_demodulation,[],[f1227,f1075]) ).
fof(f1239,plain,
! [X0,X1,X4,X5] : double_divide(X1,double_divide(X0,X1)) = double_divide(double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),X0))),X5),
inference(forward_demodulation,[],[f1225,f1075]) ).
fof(f1329,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(X1),inverse(X0)),X3) = double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X0)),double_divide(double_divide(X2,inverse(double_divide(X1,X3))),X2)))),
inference(superposition,[],[f1068,f1237]) ).
fof(f1849,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(X5,inverse(double_divide(X2,X3))),X5) = double_divide(X4,double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X0,double_divide(double_divide(X1,inverse(double_divide(X2,X3))),X0))),X4)))),
inference(superposition,[],[f1237,f1187]) ).
fof(f1861,plain,
! [X2,X3,X0,X1,X6,X4,X5] : double_divide(X5,double_divide(double_divide(double_divide(X6,inverse(double_divide(X3,X4))),X6),X5)) = double_divide(double_divide(inverse(X1),inverse(double_divide(X0,double_divide(double_divide(inverse(double_divide(X1,X2)),inverse(double_divide(X3,X4))),X0)))),X2),
inference(superposition,[],[f1239,f1187]) ).
fof(f1862,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(X5,inverse(double_divide(X3,X4))),X5),double_divide(inverse(X1),inverse(double_divide(X0,double_divide(double_divide(inverse(double_divide(X1,X2)),inverse(double_divide(X3,X4))),X0))))) = X2,
inference(superposition,[],[f1237,f1187]) ).
fof(f1939,plain,
! [X2,X3,X4,X5] : double_divide(double_divide(double_divide(X5,inverse(double_divide(X3,X4))),X5),double_divide(double_divide(inverse(X3),inverse(X2)),X4)) = X2,
inference(forward_demodulation,[],[f1862,f1067]) ).
fof(f1940,plain,
! [X2,X3,X6,X4,X5] : double_divide(X5,double_divide(double_divide(double_divide(X6,inverse(double_divide(X3,X4))),X6),X5)) = double_divide(double_divide(double_divide(inverse(X3),inverse(X2)),X4),X2),
inference(forward_demodulation,[],[f1861,f1067]) ).
fof(f1942,plain,
! [X2,X3,X1,X5] : double_divide(double_divide(X1,inverse(double_divide(X2,X3))),X1) = double_divide(double_divide(X5,inverse(double_divide(X2,X3))),X5),
inference(forward_demodulation,[],[f1849,f1235]) ).
fof(f1996,plain,
! [X0,X1,X4] : double_divide(double_divide(X1,inverse(X0)),X1) = double_divide(double_divide(X4,inverse(X0)),X4),
inference(superposition,[],[f1942,f1237]) ).
fof(f2419,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(double_divide(X3,X4)),X1) = double_divide(double_divide(double_divide(X2,inverse(double_divide(X3,X4))),X2),double_divide(X0,double_divide(X1,X0))),
inference(superposition,[],[f1939,f1239]) ).
fof(f2480,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(double_divide(double_divide(inverse(X1),inverse(X0)),X2),X0) = double_divide(double_divide(inverse(X4),inverse(double_divide(inverse(double_divide(X4,X5)),double_divide(double_divide(X3,inverse(double_divide(X1,X2))),X3)))),X5),
inference(superposition,[],[f1239,f1939]) ).
fof(f2483,plain,
! [X2,X0,X1,X5] : double_divide(double_divide(double_divide(inverse(X1),inverse(X5)),X2),X5) = double_divide(double_divide(double_divide(inverse(X1),inverse(X0)),X2),X0),
inference(forward_demodulation,[],[f2480,f1329]) ).
fof(f4055,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(X0,X1),inverse(double_divide(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2),double_divide(X4,double_divide(X0,X4))))) = X1,
inference(superposition,[],[f1157,f1236]) ).
fof(f4192,plain,
! [X3,X0,X1] : double_divide(double_divide(X0,X1),inverse(double_divide(inverse(double_divide(X3,inverse(X3))),X0))) = X1,
inference(forward_demodulation,[],[f4055,f2419]) ).
fof(f4223,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X1,X3)))) = double_divide(X0,inverse(double_divide(inverse(double_divide(X4,inverse(X4))),double_divide(X1,inverse(double_divide(X2,X0)))))),
inference(superposition,[],[f4192,f1]) ).
fof(f4242,plain,
! [X2,X3,X0,X1] : double_divide(X1,X2) = double_divide(double_divide(X0,double_divide(X1,X0)),inverse(double_divide(inverse(double_divide(X3,inverse(X3))),X2))),
inference(superposition,[],[f4192,f300]) ).
fof(f4308,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X1),inverse(X0)),X2) = inverse(double_divide(inverse(double_divide(X3,inverse(X3))),double_divide(X0,inverse(double_divide(X1,X2))))),
inference(superposition,[],[f1068,f4192]) ).
fof(f4389,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(X1,X3)))) = double_divide(X0,double_divide(double_divide(inverse(X2),inverse(X1)),X0)),
inference(forward_demodulation,[],[f4223,f4308]) ).
fof(f4625,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(X3,double_divide(X2,X3))) = double_divide(double_divide(X0,double_divide(double_divide(inverse(X1),inverse(X2)),X0)),inverse(double_divide(inverse(double_divide(X4,inverse(X4))),inverse(X1)))),
inference(superposition,[],[f4192,f4389]) ).
fof(f4726,plain,
! [X2,X3,X1] : inverse(double_divide(X3,double_divide(X2,X3))) = double_divide(double_divide(inverse(X1),inverse(X2)),inverse(X1)),
inference(forward_demodulation,[],[f4625,f4242]) ).
fof(f4924,plain,
! [X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,X0))) = double_divide(double_divide(X3,inverse(X1)),X3),
inference(superposition,[],[f1996,f4726]) ).
fof(f5395,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X0),X0) = double_divide(double_divide(double_divide(inverse(X1),inverse(X2)),inverse(double_divide(inverse(double_divide(X3,inverse(X3))),inverse(X1)))),X2),
inference(superposition,[],[f2483,f4192]) ).
fof(f5621,plain,
! [X2,X0] : double_divide(inverse(X0),X0) = double_divide(inverse(X2),X2),
inference(forward_demodulation,[],[f5395,f4192]) ).
fof(f5782,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(X1,inverse(double_divide(inverse(double_divide(X2,double_divide(X1,X2))),X3))),double_divide(inverse(X0),X0)) = X3,
inference(superposition,[],[f1,f5621]) ).
fof(f5820,plain,
! [X2,X0,X1] : double_divide(X1,double_divide(inverse(X2),X1)) = double_divide(X2,double_divide(inverse(X0),X0)),
inference(superposition,[],[f300,f5621]) ).
fof(f6140,plain,
! [X2,X3,X0,X1,X4] : double_divide(X2,double_divide(X3,X2)) = double_divide(double_divide(inverse(X1),inverse(double_divide(inverse(double_divide(X0,double_divide(inverse(X1),X0))),X3))),double_divide(inverse(X4),X4)),
inference(superposition,[],[f1239,f5820]) ).
fof(f6196,plain,
! [X2,X3] : double_divide(X2,double_divide(X3,X2)) = X3,
inference(forward_demodulation,[],[f6140,f5782]) ).
fof(f6231,plain,
! [X2,X3,X0,X1] : inverse(double_divide(double_divide(X3,inverse(double_divide(X2,X0))),X3)) = double_divide(inverse(double_divide(X1,double_divide(inverse(X2),X1))),X0),
inference(superposition,[],[f6196,f62]) ).
fof(f6238,plain,
! [X0,X1] : double_divide(double_divide(X0,X1),X0) = X1,
inference(superposition,[],[f6196,f6196]) ).
fof(f6305,plain,
! [X2,X0] : inverse(X0) = double_divide(double_divide(X2,inverse(X0)),X2),
inference(superposition,[],[f4924,f6196]) ).
fof(f6319,plain,
! [X2,X0] : inverse(X0) = double_divide(X0,double_divide(inverse(X2),X2)),
inference(superposition,[],[f5820,f6196]) ).
fof(f6324,plain,
! [X2,X3,X0,X1,X4,X5] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(double_divide(X4,inverse(double_divide(X0,X1))),double_divide(inverse(double_divide(X3,inverse(X0))),inverse(double_divide(X5,double_divide(X4,X5))))),
inference(superposition,[],[f6,f6196]) ).
fof(f6386,plain,
! [X2,X3,X0,X1] : double_divide(double_divide(inverse(X2),inverse(X0)),X3) = double_divide(X1,double_divide(double_divide(X0,inverse(double_divide(X2,X3))),X1)),
inference(superposition,[],[f1239,f6196]) ).
fof(f6388,plain,
! [X2,X3,X0,X1] : double_divide(X1,X2) = double_divide(double_divide(X0,inverse(double_divide(X3,double_divide(X1,X3)))),double_divide(inverse(X2),inverse(X0))),
inference(superposition,[],[f1235,f6196]) ).
fof(f6391,plain,
! [X2,X0,X1] : double_divide(X1,X2) = double_divide(double_divide(X0,inverse(X1)),double_divide(inverse(X2),inverse(X0))),
inference(forward_demodulation,[],[f6388,f6196]) ).
fof(f6392,plain,
! [X2,X3,X0] : double_divide(X0,inverse(double_divide(X2,X3))) = double_divide(double_divide(inverse(X2),inverse(X0)),X3),
inference(forward_demodulation,[],[f6386,f6196]) ).
fof(f6431,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(double_divide(X4,inverse(double_divide(X0,X1))),double_divide(inverse(double_divide(X3,inverse(X0))),inverse(X4))),
inference(forward_demodulation,[],[f6324,f6196]) ).
fof(f6475,plain,
! [X2,X3,X0] : inverse(double_divide(double_divide(X3,inverse(double_divide(X2,X0))),X3)) = double_divide(inverse(inverse(X2)),X0),
inference(forward_demodulation,[],[f6231,f6196]) ).
fof(f6512,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X1),inverse(double_divide(X2,double_divide(X3,X2)))) = double_divide(double_divide(X0,X1),double_divide(X3,inverse(X0))),
inference(forward_demodulation,[],[f6431,f6391]) ).
fof(f6526,plain,
! [X2,X0] : double_divide(inverse(inverse(X2)),X0) = inverse(inverse(double_divide(X2,X0))),
inference(forward_demodulation,[],[f6475,f6305]) ).
fof(f6541,plain,
! [X3,X0,X1] : double_divide(inverse(X1),inverse(X3)) = double_divide(double_divide(X0,X1),double_divide(X3,inverse(X0))),
inference(forward_demodulation,[],[f6512,f6196]) ).
fof(f6638,plain,
! [X2,X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,X0))) = double_divide(X2,double_divide(double_divide(X1,inverse(double_divide(X3,inverse(X3)))),X2)),
inference(superposition,[],[f320,f6238]) ).
fof(f6645,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2),X1)) = double_divide(inverse(X0),X0),
inference(superposition,[],[f1940,f6238]) ).
fof(f6793,plain,
! [X2,X3,X0] : double_divide(double_divide(X2,inverse(double_divide(X3,inverse(X3)))),X2) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f6645,f6196]) ).
fof(f6798,plain,
! [X3,X0,X1] : inverse(double_divide(X0,double_divide(X1,X0))) = double_divide(X1,inverse(double_divide(X3,inverse(X3)))),
inference(forward_demodulation,[],[f6638,f6196]) ).
fof(f6892,plain,
! [X3,X0] : inverse(double_divide(X3,inverse(X3))) = double_divide(inverse(X0),X0),
inference(forward_demodulation,[],[f6793,f6305]) ).
fof(f6893,plain,
! [X3,X1] : inverse(X1) = double_divide(X1,inverse(double_divide(X3,inverse(X3)))),
inference(forward_demodulation,[],[f6798,f6196]) ).
fof(f7030,plain,
! [X2,X3,X0,X1] : double_divide(X1,double_divide(X2,X1)) = double_divide(double_divide(X0,X2),double_divide(inverse(double_divide(X3,inverse(X3))),inverse(X0))),
inference(superposition,[],[f381,f6893]) ).
fof(f7072,plain,
! [X2,X3,X0,X1,X4] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1))))) = double_divide(X3,double_divide(double_divide(X2,inverse(double_divide(X0,inverse(double_divide(X4,inverse(X4)))))),X3)),
inference(superposition,[],[f320,f6893]) ).
fof(f7147,plain,
! [X2,X0,X1,X4] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1))))) = double_divide(X2,inverse(double_divide(X0,inverse(double_divide(X4,inverse(X4)))))),
inference(forward_demodulation,[],[f7072,f6196]) ).
fof(f7184,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(X2,X1)) = double_divide(inverse(X2),inverse(inverse(double_divide(X3,inverse(X3))))),
inference(forward_demodulation,[],[f7030,f6541]) ).
fof(f7288,plain,
! [X2,X0,X1] : inverse(double_divide(inverse(X0),inverse(double_divide(X1,double_divide(X2,X1))))) = double_divide(X2,inverse(inverse(X0))),
inference(forward_demodulation,[],[f7147,f6893]) ).
fof(f7308,plain,
! [X2,X3,X1] : double_divide(X1,double_divide(X2,X1)) = double_divide(inverse(X2),double_divide(inverse(inverse(X3)),inverse(X3))),
inference(forward_demodulation,[],[f7184,f6526]) ).
fof(f7376,plain,
! [X2,X0] : inverse(double_divide(inverse(X0),inverse(X2))) = double_divide(X2,inverse(inverse(X0))),
inference(forward_demodulation,[],[f7288,f6196]) ).
fof(f7387,plain,
! [X2,X1] : double_divide(X1,double_divide(X2,X1)) = inverse(inverse(X2)),
inference(forward_demodulation,[],[f7308,f6319]) ).
fof(f7420,plain,
! [X2] : inverse(inverse(X2)) = X2,
inference(forward_demodulation,[],[f7387,f6196]) ).
fof(f7461,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(X0,inverse(double_divide(X4,double_divide(X2,X4)))),X3) = double_divide(X1,double_divide(double_divide(X2,inverse(double_divide(inverse(X0),X3))),X1)),
inference(superposition,[],[f320,f7420]) ).
fof(f7508,plain,
! [X2,X3,X0,X4] : double_divide(double_divide(X0,inverse(double_divide(X4,double_divide(X2,X4)))),X3) = double_divide(X2,inverse(double_divide(inverse(X0),X3))),
inference(forward_demodulation,[],[f7461,f6196]) ).
fof(f7538,plain,
! [X2,X3,X0] : double_divide(double_divide(X0,inverse(X2)),X3) = double_divide(X2,inverse(double_divide(inverse(X0),X3))),
inference(forward_demodulation,[],[f7508,f6196]) ).
fof(f7586,plain,
! [X0,X1] : double_divide(X1,inverse(X0)) = inverse(double_divide(X0,inverse(X1))),
inference(superposition,[],[f7376,f7420]) ).
fof(f7594,plain,
! [X0,X1] : double_divide(inverse(X0),inverse(inverse(X1))) = inverse(double_divide(inverse(X1),X0)),
inference(superposition,[],[f7376,f7420]) ).
fof(f7621,plain,
! [X2,X3,X0,X1,X4] : double_divide(double_divide(inverse(inverse(X1)),inverse(double_divide(X4,double_divide(X3,X4)))),inverse(X0)) = double_divide(X2,double_divide(double_divide(X3,double_divide(X0,inverse(inverse(X1)))),X2)),
inference(superposition,[],[f320,f7376]) ).
fof(f7657,plain,
! [X2,X3,X0,X1,X4] : double_divide(inverse(X2),inverse(double_divide(X3,double_divide(double_divide(inverse(X1),inverse(X0)),X3)))) = double_divide(X4,double_divide(double_divide(inverse(X2),double_divide(X0,inverse(inverse(X1)))),X4)),
inference(superposition,[],[f4389,f7376]) ).
fof(f7667,plain,
! [X0,X1] : double_divide(inverse(X1),inverse(X0)) = inverse(double_divide(X0,inverse(inverse(X1)))),
inference(superposition,[],[f7420,f7376]) ).
fof(f7668,plain,
! [X0,X1] : inverse(double_divide(X0,X1)) = double_divide(inverse(X1),inverse(X0)),
inference(forward_demodulation,[],[f7667,f7420]) ).
fof(f7676,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X0,inverse(inverse(X1)))) = double_divide(inverse(X2),inverse(double_divide(X3,double_divide(double_divide(inverse(X1),inverse(X0)),X3)))),
inference(forward_demodulation,[],[f7657,f6196]) ).
fof(f7710,plain,
! [X3,X0,X1,X4] : double_divide(X3,double_divide(X0,inverse(inverse(X1)))) = double_divide(double_divide(inverse(inverse(X1)),inverse(double_divide(X4,double_divide(X3,X4)))),inverse(X0)),
inference(forward_demodulation,[],[f7621,f6196]) ).
fof(f7736,plain,
! [X0,X1] : double_divide(inverse(X0),X1) = inverse(double_divide(inverse(X1),X0)),
inference(forward_demodulation,[],[f7594,f7420]) ).
fof(f7748,plain,
! [X2,X3,X0,X1] : double_divide(inverse(X2),double_divide(X0,inverse(inverse(X1)))) = inverse(double_divide(double_divide(X3,double_divide(double_divide(inverse(X1),inverse(X0)),X3)),X2)),
inference(forward_demodulation,[],[f7676,f7668]) ).
fof(f7777,plain,
! [X3,X0,X1,X4] : double_divide(X3,double_divide(X0,inverse(inverse(X1)))) = double_divide(double_divide(X4,double_divide(X3,X4)),inverse(double_divide(inverse(X1),inverse(X0)))),
inference(forward_demodulation,[],[f7710,f6392]) ).
fof(f7807,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(inverse(X1),inverse(X0)),X2)) = double_divide(inverse(X2),double_divide(X0,inverse(inverse(X1)))),
inference(forward_demodulation,[],[f7748,f6196]) ).
fof(f7835,plain,
! [X3,X0,X1,X4] : double_divide(X3,double_divide(X0,inverse(inverse(X1)))) = double_divide(double_divide(X1,inverse(double_divide(X4,double_divide(X3,X4)))),inverse(X0)),
inference(forward_demodulation,[],[f7777,f7538]) ).
fof(f7862,plain,
! [X2,X0,X1] : inverse(double_divide(double_divide(inverse(X1),inverse(X0)),X2)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(forward_demodulation,[],[f7807,f7420]) ).
fof(f7888,plain,
! [X3,X0,X1] : double_divide(X3,double_divide(X0,inverse(inverse(X1)))) = double_divide(double_divide(X1,inverse(X3)),inverse(X0)),
inference(forward_demodulation,[],[f7835,f6196]) ).
fof(f7911,plain,
! [X2,X0,X1] : inverse(double_divide(X0,inverse(double_divide(X1,X2)))) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(forward_demodulation,[],[f7862,f6392]) ).
fof(f7929,plain,
! [X3,X0,X1] : double_divide(double_divide(X1,inverse(X3)),inverse(X0)) = double_divide(X3,double_divide(X0,X1)),
inference(forward_demodulation,[],[f7888,f7420]) ).
fof(f7940,plain,
! [X2,X0,X1] : double_divide(double_divide(X1,X2),inverse(X0)) = double_divide(inverse(X2),double_divide(X0,X1)),
inference(forward_demodulation,[],[f7911,f7586]) ).
fof(f8020,plain,
! [X0,X1] : inverse(double_divide(X1,inverse(X1))) = double_divide(X0,inverse(X0)),
inference(superposition,[],[f6892,f7420]) ).
fof(f8397,plain,
! [X0,X1] : double_divide(X1,inverse(X1)) = double_divide(X0,inverse(X0)),
inference(forward_demodulation,[],[f8020,f7586]) ).
fof(f18634,plain,
( inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(superposition,[],[f5,f7736]) ).
fof(f18821,plain,
( double_divide(inverse(a3),double_divide(c3,b3)) != double_divide(double_divide(b3,a3),inverse(c3))
| a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f18634,f7586]) ).
fof(f18953,plain,
( a2 != inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2)))))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_subsumption_resolution,[],[f18821,f7940]) ).
fof(f19066,plain,
( a2 != double_divide(double_divide(b2,inverse(b2)),inverse(a2))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f18953,f7586]) ).
fof(f19162,plain,
( a2 != double_divide(b2,double_divide(a2,b2))
| inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))) ),
inference(forward_demodulation,[],[f19066,f7929]) ).
fof(f19241,plain,
inverse(double_divide(a1,inverse(a1))) != inverse(double_divide(b1,inverse(b1))),
inference(forward_subsumption_resolution,[],[f19162,f6196]) ).
fof(f19299,plain,
inverse(double_divide(a1,inverse(a1))) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[],[f19241,f7586]) ).
fof(f19344,plain,
double_divide(a1,inverse(a1)) != double_divide(b1,inverse(b1)),
inference(forward_demodulation,[],[f19299,f7586]) ).
fof(f19379,plain,
$false,
inference(forward_subsumption_resolution,[],[f19344,f8397]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP083-1 : TPTP v9.3.1. Bugfixed v2.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n002.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
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:21:07 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/2.18 % (3273936)Input is clausal, will run a generic CNF schedule.
% 9.33/2.18 % (3273987)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2502552744:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.33/2.18 % (3273987)Instruction limit reached!
% 9.33/2.18 % (3273987)------------------------------
% 9.33/2.18 % (3273987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.18 % (3273987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.18 % (3273987)CaDiCaL version: 2.1.3
% 9.33/2.18 % (3273987)Termination reason: Instruction limit
% 9.33/2.18 % (3273987)Termination phase: Saturation
% 9.33/2.18 % (3273987)Time elapsed: 0.039 s
% 9.33/2.18 % (3273987)Peak memory usage: 89 MB
% 9.33/2.18 % (3273987)Instructions burned: 114 (million)
% 9.33/2.18 % (3273986)lrs+10_1_sil=8000:sp=occurrence:random_seed=761797560:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.33/2.18 % (3273984)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=259778440:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.33/2.18 % (3273989)dis-21_1_sil=8000:lcm=predicate:random_seed=3645165707:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 9.33/2.18 % (3273983)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3472846597:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.33/2.18 % (3273985)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2345665521:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.33/2.18 % (3273989)Refutation not found, incomplete strategy
% 9.33/2.18 % (3273989)------------------------------
% 9.33/2.18 % (3273989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.18 % (3273989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.18 % (3273989)CaDiCaL version: 2.1.3
% 9.33/2.18 % (3273989)Termination reason: Refutation not found, incomplete strategy
% 9.33/2.18 % (3273989)Time elapsed: 0.001 s
% 9.33/2.18 % (3273989)Peak memory usage: 88 MB
% 9.33/2.18 % (3273988)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2871788453:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.33/2.18 % (3273988)Instruction limit reached!
% 9.33/2.18 % (3273988)------------------------------
% 9.33/2.18 % (3273988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.18 % (3273988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.18 % (3273988)CaDiCaL version: 2.1.3
% 9.33/2.18 % (3273988)Termination reason: Instruction limit
% 9.33/2.18 % (3273988)Termination phase: Saturation
% 9.33/2.18 % (3273988)Time elapsed: 0.053 s
% 9.33/2.18 % (3273988)Peak memory usage: 89 MB
% 9.33/2.18 % (3273988)Instructions burned: 185 (million)
% 9.33/2.18 % (3273986)Instruction limit reached!
% 9.33/2.18 % (3273986)------------------------------
% 9.33/2.18 % (3273986)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.18 % (3273986)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.18 % (3273986)CaDiCaL version: 2.1.3
% 9.33/2.18 % (3273986)Termination reason: Instruction limit
% 9.33/2.18 % (3273986)Termination phase: Saturation
% 9.33/2.18 % (3273986)Time elapsed: 0.065 s
% 9.33/2.18 % (3273986)Peak memory usage: 89 MB
% 9.33/2.18 % (3273986)Instructions burned: 107 (million)
% 9.33/2.18 % (3273996)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=639297440:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.33/2.18 % (3273996)Refutation not found, incomplete strategy
% 9.33/2.18 % (3273996)------------------------------
% 9.33/2.18 % (3273996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.33/2.18 % (3273996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.33/2.18 % (3273996)CaDiCaL version: 2.1.3
% 9.33/2.18 % (3273996)Termination reason: Refutation not found, incomplete strategy
% 9.33/2.18 % (3273996)Time elapsed: 0.001 s
% 9.33/2.18 % (3273996)Peak memory usage: 88 MB
% 9.33/2.18 % (3273998)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4194718403:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 15.84/3.09 % (3273998)Refutation not found, incomplete strategy
% 15.84/3.09 % (3273998)------------------------------
% 15.84/3.09 % (3273998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3273998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3273998)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3273998)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.09 % (3273998)Time elapsed: 0.001 s
% 15.84/3.09 % (3273998)Peak memory usage: 88 MB
% 15.84/3.09 % (3273999)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3892176404:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 15.84/3.09 % (3273999)Refutation not found, incomplete strategy
% 15.84/3.09 % (3273999)------------------------------
% 15.84/3.09 % (3273999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3273999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3273999)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3273999)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.09 % (3273999)Time elapsed: 0.001 s
% 15.84/3.09 % (3273999)Peak memory usage: 88 MB
% 15.84/3.09 % (3273989)------------------------------
% 15.84/3.09 % (3273989)------------------------------
% 15.84/3.09 % (3273998)------------------------------
% 15.84/3.09 % (3273998)------------------------------
% 15.84/3.09 % (3273996)------------------------------
% 15.84/3.09 % (3273996)------------------------------
% 15.84/3.09 % (3274003)lrs+10_64_to=lpo:sil=8000:random_seed=1533528801:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 15.84/3.09 % (3274004)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1739310093:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 15.84/3.09 % (3273999)------------------------------
% 15.84/3.09 % (3273999)------------------------------
% 15.84/3.09 % (3274003)Instruction limit reached!
% 15.84/3.09 % (3274003)------------------------------
% 15.84/3.09 % (3274003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274003)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274003)Termination reason: Instruction limit
% 15.84/3.09 % (3274003)Termination phase: Saturation
% 15.84/3.09 % (3274003)Time elapsed: 0.077 s
% 15.84/3.09 % (3274003)Peak memory usage: 89 MB
% 15.84/3.09 % (3274003)Instructions burned: 126 (million)
% 15.84/3.09 % (3274004)Instruction limit reached!
% 15.84/3.09 % (3274004)------------------------------
% 15.84/3.09 % (3274004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274004)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274004)Termination reason: Instruction limit
% 15.84/3.09 % (3274004)Termination phase: Saturation
% 15.84/3.09 % (3274004)Time elapsed: 0.065 s
% 15.84/3.09 % (3274004)Peak memory usage: 90 MB
% 15.84/3.09 % (3274004)Instructions burned: 196 (million)
% 15.84/3.09 % (3274006)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1433573343:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 15.84/3.09 % (3274008)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2200449900:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 15.84/3.09 % (3274010)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2551716945:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 15.84/3.09 % (3274010)Refutation not found, incomplete strategy
% 15.84/3.09 % (3274010)------------------------------
% 15.84/3.09 % (3274010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274010)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274010)Termination reason: Refutation not found, incomplete strategy
% 15.84/3.09 % (3274010)Time elapsed: 0.0000 s
% 15.84/3.09 % (3274010)Peak memory usage: 88 MB
% 15.84/3.09 % (3274009)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1157929338:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 15.84/3.09 % (3274006)Instruction limit reached!
% 15.84/3.09 % (3274006)------------------------------
% 15.84/3.09 % (3274006)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274006)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274006)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274006)Termination reason: Instruction limit
% 15.84/3.09 % (3274006)Termination phase: Saturation
% 15.84/3.09 % (3274006)Time elapsed: 0.093 s
% 15.84/3.09 % (3274006)Peak memory usage: 92 MB
% 15.84/3.09 % (3274006)Instructions burned: 158 (million)
% 15.84/3.09 % (3274009)Instruction limit reached!
% 15.84/3.09 % (3274009)------------------------------
% 15.84/3.09 % (3274009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274009)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274009)Termination reason: Instruction limit
% 15.84/3.09 % (3274009)Termination phase: Saturation
% 15.84/3.09 % (3274009)Time elapsed: 0.064 s
% 15.84/3.09 % (3274009)Peak memory usage: 89 MB
% 15.84/3.09 % (3274009)Instructions burned: 107 (million)
% 15.84/3.09 % (3274015)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1870756369:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 15.84/3.09 % (3274010)------------------------------
% 15.84/3.09 % (3274010)------------------------------
% 15.84/3.09 % (3274016)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3492220898:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 15.84/3.09 % (3274018)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=777685767:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 15.84/3.09 % (3274015)Instruction limit reached!
% 15.84/3.09 % (3274015)------------------------------
% 15.84/3.09 % (3274015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274015)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274015)Termination reason: Instruction limit
% 15.84/3.09 % (3274015)Termination phase: Saturation
% 15.84/3.09 % (3274015)Time elapsed: 0.131 s
% 15.84/3.09 % (3274015)Peak memory usage: 92 MB
% 15.84/3.09 % (3274015)Instructions burned: 244 (million)
% 15.84/3.09 % (3274018)Instruction limit reached!
% 15.84/3.09 % (3274018)------------------------------
% 15.84/3.09 % (3274018)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274018)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274018)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274018)Termination reason: Instruction limit
% 15.84/3.09 % (3274018)Termination phase: Saturation
% 15.84/3.09 % (3274018)Time elapsed: 0.044 s
% 15.84/3.09 % (3274018)Peak memory usage: 89 MB
% 15.84/3.09 % (3274018)Instructions burned: 135 (million)
% 15.84/3.09 % (3274022)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3713010684:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 15.84/3.09 % (3274021)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2744097515:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 15.84/3.09 % (3274022)Instruction limit reached!
% 15.84/3.09 % (3274022)------------------------------
% 15.84/3.09 % (3274022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274022)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274022)Termination reason: Instruction limit
% 15.84/3.09 % (3274022)Termination phase: Saturation
% 15.84/3.09 % (3274022)Time elapsed: 0.065 s
% 15.84/3.09 % (3274022)Peak memory usage: 90 MB
% 15.84/3.09 % (3274022)Instructions burned: 194 (million)
% 15.84/3.09 % (3274025)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1112675910:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 15.84/3.09 % (3274025)Instruction limit reached!
% 15.84/3.09 % (3274025)------------------------------
% 15.84/3.09 % (3274025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274025)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274025)Termination reason: Instruction limit
% 15.84/3.09 % (3274025)Termination phase: Saturation
% 15.84/3.09 % (3274025)Time elapsed: 0.089 s
% 15.84/3.09 % (3274025)Peak memory usage: 92 MB
% 15.84/3.09 % (3274025)Instructions burned: 265 (million)
% 15.84/3.09 % (3274027)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4209554371:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 15.84/3.09 % (3274021)Instruction limit reached!
% 15.84/3.09 % (3274021)------------------------------
% 15.84/3.09 % (3274021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274021)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274021)Termination reason: Instruction limit
% 15.84/3.09 % (3274021)Termination phase: Saturation
% 15.84/3.09 % (3274021)Time elapsed: 0.300 s
% 15.84/3.09 % (3274021)Peak memory usage: 95 MB
% 15.84/3.09 % (3274021)Instructions burned: 499 (million)
% 15.84/3.09 % (3274027)Instruction limit reached!
% 15.84/3.09 % (3274027)------------------------------
% 15.84/3.09 % (3274027)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274027)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274027)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274027)Termination reason: Instruction limit
% 15.84/3.09 % (3274027)Termination phase: Saturation
% 15.84/3.09 % (3274027)Time elapsed: 0.055 s
% 15.84/3.09 % (3274027)Peak memory usage: 90 MB
% 15.84/3.09 % (3274027)Instructions burned: 158 (million)
% 15.84/3.09 % (3274029)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1751994784:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 15.84/3.09 % (3274030)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3883025828:i=537:av=off:ss=included_2985 on theBenchmark for (2985ds/537Mi)
% 15.84/3.09 % (3274030)Instruction limit reached!
% 15.84/3.09 % (3274030)------------------------------
% 15.84/3.09 % (3274030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274030)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274030)Termination reason: Instruction limit
% 15.84/3.09 % (3274030)Termination phase: Saturation
% 15.84/3.09 % (3274030)Time elapsed: 0.145 s
% 15.84/3.09 % (3274030)Peak memory usage: 97 MB
% 15.84/3.09 % (3274030)Instructions burned: 539 (million)
% 15.84/3.09 % (3274033)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1591620844:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 15.84/3.09 % (3274033)Instruction limit reached!
% 15.84/3.09 % (3274033)------------------------------
% 15.84/3.09 % (3274033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.84/3.09 % (3274033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.84/3.09 % (3274033)CaDiCaL version: 2.1.3
% 15.84/3.09 % (3274033)Termination reason: Instruction limit
% 15.84/3.09 % (3274033)Termination phase: Saturation
% 15.84/3.09 % (3274033)Time elapsed: 0.067 s
% 15.84/3.09 % (3274033)Peak memory usage: 90 MB
% 15.84/3.09 % (3274033)Instructions burned: 183 (million)
% 15.84/3.09 % (3273984)First to succeed.
% 15.84/3.09 % (3273984)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3273936"
% 15.84/3.09 % (3274035)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=3419255620:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/10307Mi)
% 15.84/3.09 % (3273984)Refutation found. Thanks to Tanya!
% 15.84/3.09 % SZS status Unsatisfiable for theBenchmark
% 15.84/3.09 % SZS output start Proof for theBenchmark
% See solution above
% 16.29/3.18 % (3273984)------------------------------
% 16.29/3.18 % (3273984)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.29/3.18 % (3273984)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.29/3.18 % (3273984)CaDiCaL version: 2.1.3
% 16.29/3.18 % (3273984)Termination reason: Refutation
% 16.29/3.18 % (3273984)Time elapsed: 1.800 s
% 16.29/3.18 % (3273984)Peak memory usage: 149 MB
% 16.29/3.18 % (3273984)Instructions burned: 3042 (million)
% 16.29/3.18 % (3273984)------------------------------
% 16.29/3.18 % (3273984)------------------------------
% 16.29/3.18 % (3273936)Success in time 2.235 s
% 16.29/3.18 % Vampire exiting
%------------------------------------------------------------------------------