%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP469-1 : 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 : n015.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 10:14:05 AM UTC 2026
% Result : Unsatisfiable 12.08s 2.58s
% Output : Refutation 12.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 7
% Syntax : Number of formulae : 154 ( 154 unt; 4 def)
% Number of atoms : 154 ( 153 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 16 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 374 ( 374 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X2,X3,X0,X1] : divide(inverse(divide(X0,divide(X1,divide(X2,X3)))),divide(divide(X3,X2),X0)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
fof(f2,negated_conjecture,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
fof(f4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference(definition_unfolding,[],[f3,f2,f2]) ).
fof(f5,definition,
sF0 = inverse(a1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f6,plain,
inverse(a1) = sF0,
inference(reorient_equations,[],[f5]) ).
fof(f7,definition,
sF1 = divide(sF0,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f8,plain,
divide(sF0,sF0) = sF1,
inference(reorient_equations,[],[f7]) ).
fof(f9,definition,
sF2 = inverse(b1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f10,plain,
inverse(b1) = sF2,
inference(reorient_equations,[],[f9]) ).
fof(f11,definition,
sF3 = divide(sF2,sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f12,plain,
divide(sF2,sF2) = sF3,
inference(reorient_equations,[],[f11]) ).
fof(f13,plain,
sF1 != sF3,
inference(definition_folding,[],[f4,f12,f10,f10,f8,f6,f6]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,X0))),divide(divide(divide(divide(X5,X4),X3),inverse(divide(X3,divide(X0,divide(X4,X5))))),X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f15,plain,
! [X2,X3,X0,X1,X4] : inverse(divide(X2,divide(X0,divide(X3,X4)))) = divide(inverse(divide(X1,X0)),divide(divide(X2,divide(X4,X3)),X1)),
inference(superposition,[],[f1,f1]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4] : divide(X4,X3) = divide(inverse(X0),divide(divide(X2,X1),inverse(divide(divide(X1,X2),divide(X0,divide(X3,X4)))))),
inference(superposition,[],[f1,f1]) ).
fof(f17,plain,
! [X2,X3,X0,X1,X4,X5] : divide(inverse(divide(X1,divide(X2,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X0,divide(X4,X3)))))))),divide(X0,X1)) = X2,
inference(superposition,[],[f1,f1]) ).
fof(f19,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,sF1))),divide(sF1,X0)) = X1,
inference(superposition,[],[f1,f8]) ).
fof(f21,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,sF3))),divide(sF3,X0)) = X1,
inference(superposition,[],[f1,f12]) ).
fof(f28,plain,
! [X2,X0,X1] : inverse(divide(X0,divide(X1,sF1))) = divide(inverse(divide(X2,X1)),divide(divide(X0,sF1),X2)),
inference(superposition,[],[f15,f8]) ).
fof(f29,plain,
! [X2,X0,X1] : inverse(divide(X0,divide(X1,sF3))) = divide(inverse(divide(X2,X1)),divide(divide(X0,sF3),X2)),
inference(superposition,[],[f15,f12]) ).
fof(f33,plain,
! [X2,X3,X0,X1] : inverse(divide(X0,divide(divide(X1,divide(divide(X2,X3),X0)),divide(X3,X2)))) = X1,
inference(superposition,[],[f1,f15]) ).
fof(f39,plain,
! [X2,X0,X1] : divide(X2,X1) = divide(inverse(X0),divide(sF1,inverse(divide(sF1,divide(X0,divide(X1,X2)))))),
inference(superposition,[],[f19,f1]) ).
fof(f40,plain,
! [X2,X3,X0,X1] : divide(X0,divide(X3,X2)) = divide(inverse(inverse(divide(X0,divide(X1,divide(X2,X3))))),divide(sF1,inverse(divide(sF1,X1)))),
inference(superposition,[],[f19,f15]) ).
fof(f72,plain,
! [X2,X3,X0,X1,X4] : sF3 = divide(inverse(X0),divide(divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X1,divide(X3,X2))))),inverse(divide(X1,divide(X0,sF3))))),
inference(superposition,[],[f14,f21]) ).
fof(f100,plain,
! [X2,X3,X0,X1,X4] : divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X1,divide(X3,X2))))) = divide(inverse(X0),divide(sF1,inverse(divide(sF1,divide(X0,X1))))),
inference(superposition,[],[f19,f14]) ).
fof(f140,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(divide(X2,X3),divide(X4,divide(X1,X0)))),divide(X3,X2)) = divide(inverse(inverse(X4)),divide(divide(X5,X6),inverse(divide(divide(X6,X5),divide(X0,X1))))),
inference(superposition,[],[f16,f16]) ).
fof(f205,plain,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] : divide(inverse(divide(divide(divide(divide(divide(X1,X2),X3),inverse(divide(X3,divide(X4,divide(X2,X1))))),X5),divide(X6,divide(divide(divide(X7,X8),X9),inverse(divide(X9,divide(inverse(divide(X5,divide(X0,X4))),divide(X8,X7)))))))),X0) = X6,
inference(superposition,[],[f17,f14]) ).
fof(f258,plain,
! [X0,X1] : inverse(divide(X0,divide(divide(X1,divide(sF1,X0)),sF1))) = X1,
inference(superposition,[],[f1,f28]) ).
fof(f291,plain,
! [X0,X1] : inverse(inverse(divide(X0,divide(X1,divide(inverse(divide(sF1,X1)),sF1))))) = X0,
inference(superposition,[],[f258,f15]) ).
fof(f302,plain,
! [X0] : inverse(inverse(X0)) = inverse(divide(divide(inverse(divide(sF1,sF1)),sF1),divide(X0,sF1))),
inference(superposition,[],[f291,f19]) ).
fof(f453,plain,
! [X2,X0,X1] : divide(inverse(divide(sF1,divide(X2,divide(X1,X0)))),sF1) = divide(inverse(inverse(X2)),divide(sF1,inverse(divide(sF1,divide(X0,X1))))),
inference(superposition,[],[f39,f39]) ).
fof(f460,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(sF1,divide(X2,divide(X1,X0)))),sF1) = divide(inverse(inverse(X2)),divide(divide(X3,X4),inverse(divide(divide(X4,X3),divide(X0,X1))))),
inference(superposition,[],[f16,f39]) ).
fof(f482,plain,
! [X2,X3,X0,X1,X4] : divide(inverse(divide(divide(X2,X3),divide(X4,divide(X1,X0)))),divide(X3,X2)) = divide(inverse(divide(sF1,divide(X4,divide(X1,X0)))),sF1),
inference(backward_demodulation,[],[f140,f460]) ).
fof(f614,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(inverse(divide(divide(X1,X2),divide(X0,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X6,divide(X4,X3)))))))),divide(X2,X1)) = divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))),
inference(superposition,[],[f40,f17]) ).
fof(f619,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)) = divide(inverse(inverse(inverse(divide(X0,divide(X1,sF3))))),divide(sF1,inverse(divide(sF1,divide(X0,sF3))))),
inference(superposition,[],[f40,f29]) ).
fof(f620,plain,
! [X2,X0,X1] : divide(inverse(divide(divide(X1,X2),divide(X0,sF1))),divide(X2,X1)) = divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,sF1)))),
inference(superposition,[],[f40,f19]) ).
fof(f696,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)) = divide(inverse(divide(sF1,divide(inverse(divide(X0,divide(X1,sF3))),divide(sF3,X0)))),sF1),
inference(forward_demodulation,[],[f619,f453]) ).
fof(f701,plain,
! [X3,X0,X6,X4,X5] : divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))) = divide(inverse(divide(sF1,divide(X0,divide(divide(divide(X3,X4),X5),inverse(divide(X5,divide(X6,divide(X4,X3)))))))),sF1),
inference(forward_demodulation,[],[f614,f482]) ).
fof(f721,plain,
! [X2,X3,X1] : divide(inverse(divide(sF1,X1)),sF1) = divide(inverse(divide(divide(X2,X3),X1)),divide(X3,X2)),
inference(forward_demodulation,[],[f696,f21]) ).
fof(f726,plain,
! [X0] : divide(inverse(divide(sF1,divide(X0,sF1))),sF1) = divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,sF1)))),
inference(backward_demodulation,[],[f620,f721]) ).
fof(f775,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(divide(inverse(divide(X2,divide(X3,divide(X4,X5)))),divide(divide(X5,X4),X2)),X0)) = divide(inverse(divide(X1,divide(inverse(divide(sF1,X0)),sF1))),divide(X3,X1)),
inference(superposition,[],[f17,f721]) ).
fof(f804,plain,
! [X3,X0,X1] : divide(inverse(divide(X1,divide(inverse(divide(sF1,X0)),sF1))),divide(X3,X1)) = inverse(divide(X3,X0)),
inference(forward_demodulation,[],[f775,f1]) ).
fof(f1017,plain,
! [X0,X1] : inverse(inverse(inverse(divide(X0,X1)))) = inverse(divide(divide(inverse(divide(sF1,X0)),sF1),divide(inverse(divide(sF1,X1)),sF1))),
inference(superposition,[],[f291,f804]) ).
fof(f1018,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,X1))),divide(sF1,inverse(divide(sF1,divide(inverse(divide(sF1,X1)),sF1))))) = X0,
inference(superposition,[],[f19,f804]) ).
fof(f1049,plain,
! [X0,X1] : divide(inverse(divide(sF1,divide(divide(X0,X1),divide(sF1,inverse(divide(sF1,X1)))))),sF1) = X0,
inference(forward_demodulation,[],[f1018,f453]) ).
fof(f1065,plain,
! [X2,X3,X0,X1,X4,X5] : inverse(divide(X1,divide(X0,divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X5,divide(X3,X2)))))))) = divide(inverse(divide(sF1,divide(X0,divide(sF1,inverse(divide(sF1,divide(X5,X1))))))),sF1),
inference(superposition,[],[f1049,f17]) ).
fof(f1086,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = inverse(divide(inverse(divide(sF1,divide(divide(X0,X1),divide(sF1,inverse(divide(sF1,X1)))))),divide(X2,sF1))),
inference(superposition,[],[f28,f1049]) ).
fof(f1106,plain,
! [X2,X0,X1] : inverse(divide(inverse(divide(sF1,divide(divide(X0,X2),divide(sF1,inverse(divide(sF1,X2)))))),X1)) = divide(inverse(divide(sF1,divide(inverse(divide(sF1,X1)),sF1))),X0),
inference(superposition,[],[f804,f1049]) ).
fof(f1108,plain,
! [X2,X3,X0] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(inverse(divide(sF1,divide(inverse(divide(sF1,divide(X2,sF1))),sF1))),X0),
inference(forward_demodulation,[],[f1086,f1106]) ).
fof(f1171,plain,
! [X2,X3,X0,X1,X6,X4,X5] : divide(divide(inverse(divide(sF1,divide(X6,divide(sF1,inverse(divide(sF1,divide(inverse(divide(X5,divide(X0,X4))),divide(divide(divide(divide(X1,X2),X3),inverse(divide(X3,divide(X4,divide(X2,X1))))),X5)))))))),sF1),X0) = X6,
inference(backward_demodulation,[],[f205,f1065]) ).
fof(f1174,plain,
! [X0,X6] : divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))) = divide(divide(inverse(divide(sF1,divide(X0,divide(sF1,inverse(divide(sF1,divide(X6,sF1))))))),sF1),sF1),
inference(backward_demodulation,[],[f701,f1065]) ).
fof(f1184,plain,
! [X0,X6] : divide(divide(inverse(divide(sF1,divide(X6,divide(sF1,inverse(divide(sF1,X0)))))),sF1),X0) = X6,
inference(forward_demodulation,[],[f1171,f14]) ).
fof(f1210,plain,
! [X0,X1] : inverse(divide(divide(inverse(divide(sF1,X1)),sF1),X0)) = divide(divide(inverse(divide(sF1,divide(inverse(divide(sF1,X0)),sF1))),sF1),X1),
inference(superposition,[],[f1184,f721]) ).
fof(f1212,plain,
! [X2,X3,X0,X1] : divide(divide(inverse(divide(sF1,divide(X0,divide(X1,X2)))),sF1),X3) = inverse(inverse(divide(X0,divide(X3,divide(X2,X1))))),
inference(superposition,[],[f1184,f40]) ).
fof(f1213,plain,
! [X0,X1] : divide(divide(X0,sF1),X1) = divide(X0,divide(divide(inverse(divide(sF1,X1)),sF1),sF1)),
inference(superposition,[],[f1184,f33]) ).
fof(f1271,plain,
! [X0,X6] : divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))) = inverse(inverse(divide(X0,divide(sF1,divide(inverse(divide(sF1,divide(X6,sF1))),sF1))))),
inference(backward_demodulation,[],[f1174,f1212]) ).
fof(f1287,plain,
! [X0,X1] : divide(divide(X1,sF1),divide(divide(inverse(divide(sF1,X0)),sF1),sF1)) = divide(X1,divide(divide(inverse(divide(divide(sF1,sF1),X0)),sF1),sF1)),
inference(superposition,[],[f1213,f1213]) ).
fof(f1288,plain,
! [X0,X1] : divide(divide(X1,sF1),divide(divide(X0,divide(sF1,sF1)),sF1)) = divide(X1,divide(divide(X0,sF1),sF1)),
inference(superposition,[],[f1213,f258]) ).
fof(f1309,plain,
! [X2,X0,X1] : divide(divide(divide(inverse(divide(sF1,X1)),sF1),sF1),X0) = divide(inverse(X2),divide(sF1,inverse(divide(sF1,divide(X2,divide(divide(X0,sF1),X1)))))),
inference(superposition,[],[f39,f1213]) ).
fof(f1310,plain,
! [X2,X3,X0,X1] : divide(X2,divide(divide(divide(inverse(divide(sF1,X1)),sF1),sF1),X0)) = divide(inverse(inverse(divide(X2,divide(X3,divide(divide(X0,sF1),X1))))),divide(sF1,inverse(divide(sF1,X3)))),
inference(superposition,[],[f40,f1213]) ).
fof(f1319,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(divide(divide(inverse(divide(sF1,X2)),sF1),sF1),divide(X3,divide(X1,X0)))),divide(divide(divide(X0,X1),sF1),X2)) = X3,
inference(superposition,[],[f1,f1213]) ).
fof(f1327,plain,
! [X0,X1] : inverse(inverse(divide(X1,divide(divide(divide(inverse(divide(sF1,X0)),sF1),sF1),divide(inverse(divide(divide(sF1,sF1),X0)),sF1))))) = X1,
inference(superposition,[],[f291,f1213]) ).
fof(f1328,plain,
! [X0,X1] : inverse(divide(divide(divide(inverse(divide(sF1,X0)),sF1),sF1),divide(divide(X1,divide(divide(sF1,sF1),X0)),sF1))) = X1,
inference(superposition,[],[f258,f1213]) ).
fof(f1340,plain,
! [X2,X0,X1] : divide(X2,divide(divide(divide(inverse(divide(sF1,X1)),sF1),sF1),X0)) = divide(X2,divide(X1,divide(X0,sF1))),
inference(forward_demodulation,[],[f1310,f40]) ).
fof(f1341,plain,
! [X0,X1] : divide(X1,divide(X0,sF1)) = divide(divide(divide(inverse(divide(sF1,X1)),sF1),sF1),X0),
inference(forward_demodulation,[],[f1309,f39]) ).
fof(f1346,plain,
! [X0,X1] : divide(X1,divide(divide(inverse(divide(divide(sF1,sF1),X0)),sF1),sF1)) = divide(divide(divide(X1,sF1),sF1),X0),
inference(forward_demodulation,[],[f1287,f1213]) ).
fof(f1349,plain,
! [X0,X1] : inverse(inverse(divide(X1,divide(X0,divide(divide(inverse(divide(divide(sF1,sF1),X0)),sF1),sF1))))) = X1,
inference(backward_demodulation,[],[f1327,f1340]) ).
fof(f1362,plain,
! [X2,X3,X0,X1] : divide(inverse(divide(X2,divide(divide(X3,divide(X1,X0)),sF1))),divide(divide(divide(X0,X1),sF1),X2)) = X3,
inference(backward_demodulation,[],[f1319,f1341]) ).
fof(f1365,plain,
! [X0,X1] : inverse(divide(X0,divide(divide(divide(X1,divide(divide(sF1,sF1),X0)),sF1),sF1))) = X1,
inference(backward_demodulation,[],[f1328,f1341]) ).
fof(f1371,plain,
! [X0,X1] : inverse(inverse(divide(X1,divide(divide(divide(X0,sF1),sF1),X0)))) = X1,
inference(forward_demodulation,[],[f1349,f1346]) ).
fof(f1374,plain,
! [X3,X0,X1] : inverse(divide(divide(X0,X1),divide(divide(divide(X3,divide(X1,X0)),sF1),sF1))) = X3,
inference(forward_demodulation,[],[f1362,f28]) ).
fof(f1424,plain,
! [X2,X0,X1] : divide(X0,divide(sF1,divide(X1,X2))) = divide(divide(X0,divide(X2,X1)),sF1),
inference(superposition,[],[f19,f1374]) ).
fof(f1432,plain,
! [X0,X1] : inverse(divide(X0,divide(divide(X1,divide(sF1,divide(X0,divide(sF1,sF1)))),sF1))) = X1,
inference(backward_demodulation,[],[f1365,f1424]) ).
fof(f1433,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,divide(sF1,divide(X0,sF1))))) = X1,
inference(backward_demodulation,[],[f258,f1424]) ).
fof(f1439,plain,
! [X0,X1] : divide(X1,divide(divide(X0,sF1),sF1)) = divide(divide(X1,sF1),divide(X0,divide(sF1,divide(sF1,sF1)))),
inference(backward_demodulation,[],[f1288,f1424]) ).
fof(f1484,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,divide(sF1,divide(divide(X0,divide(sF1,sF1)),sF1))))) = X1,
inference(forward_demodulation,[],[f1432,f1424]) ).
fof(f1511,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,divide(sF1,divide(X0,divide(sF1,divide(sF1,sF1))))))) = X1,
inference(forward_demodulation,[],[f1484,f1424]) ).
fof(f1536,plain,
! [X0,X1] : inverse(divide(X1,X0)) = inverse(divide(divide(X1,sF1),divide(X0,sF1))),
inference(superposition,[],[f1433,f19]) ).
fof(f1538,plain,
! [X0,X1] : inverse(divide(X1,divide(inverse(divide(sF1,X0)),sF1))) = inverse(divide(divide(divide(X1,sF1),sF1),X0)),
inference(superposition,[],[f1433,f721]) ).
fof(f1540,plain,
! [X0,X1] : divide(X1,divide(divide(X1,sF1),sF1)) = divide(inverse(X0),divide(sF1,inverse(divide(sF1,X0)))),
inference(superposition,[],[f40,f1433]) ).
fof(f1542,plain,
! [X0,X1] : divide(X0,divide(divide(divide(X1,sF1),sF1),X1)) = X0,
inference(superposition,[],[f33,f1433]) ).
fof(f1547,plain,
! [X0] : divide(divide(sF1,sF1),sF1) = divide(inverse(X0),divide(sF1,X0)),
inference(superposition,[],[f39,f1433]) ).
fof(f1558,plain,
! [X1] : inverse(inverse(X1)) = X1,
inference(backward_demodulation,[],[f1371,f1542]) ).
fof(f1593,plain,
! [X0,X1] : inverse(inverse(inverse(divide(X0,X1)))) = inverse(divide(divide(divide(divide(inverse(divide(sF1,X0)),sF1),sF1),sF1),X1)),
inference(backward_demodulation,[],[f1017,f1538]) ).
fof(f1606,plain,
! [X0,X1] : inverse(divide(divide(inverse(divide(sF1,X1)),sF1),X0)) = divide(divide(inverse(divide(divide(divide(sF1,sF1),sF1),X0)),sF1),X1),
inference(backward_demodulation,[],[f1210,f1538]) ).
fof(f1607,plain,
! [X2,X3,X0] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(inverse(divide(divide(divide(sF1,sF1),sF1),divide(X2,sF1))),X0),
inference(backward_demodulation,[],[f1108,f1538]) ).
fof(f1612,plain,
! [X0] : inverse(inverse(X0)) = inverse(divide(inverse(divide(sF1,sF1)),X0)),
inference(backward_demodulation,[],[f302,f1536]) ).
fof(f1666,plain,
! [X0,X6] : divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))) = divide(X0,divide(sF1,divide(inverse(divide(sF1,divide(X6,sF1))),sF1))),
inference(backward_demodulation,[],[f1271,f1558]) ).
fof(f1678,plain,
! [X2,X0,X1] : divide(inverse(divide(sF1,divide(X2,divide(X1,X0)))),sF1) = divide(X2,divide(sF1,inverse(divide(sF1,divide(X0,X1))))),
inference(backward_demodulation,[],[f453,f1558]) ).
fof(f1680,plain,
! [X0] : divide(inverse(divide(sF1,divide(X0,sF1))),sF1) = divide(X0,divide(sF1,inverse(divide(sF1,sF1)))),
inference(backward_demodulation,[],[f726,f1558]) ).
fof(f1682,plain,
! [X2,X3,X0] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(inverse(divide(divide(sF1,sF1),X2)),X0),
inference(forward_demodulation,[],[f1607,f1536]) ).
fof(f1689,plain,
! [X0,X1] : inverse(inverse(inverse(divide(X0,X1)))) = inverse(divide(divide(X0,divide(sF1,sF1)),X1)),
inference(forward_demodulation,[],[f1593,f1341]) ).
fof(f1699,plain,
! [X0] : inverse(divide(inverse(divide(sF1,sF1)),X0)) = X0,
inference(forward_demodulation,[],[f1612,f1558]) ).
fof(f1756,plain,
! [X0,X6] : divide(inverse(inverse(X0)),divide(sF1,inverse(divide(sF1,X6)))) = divide(X0,divide(sF1,divide(X6,divide(sF1,inverse(divide(sF1,sF1)))))),
inference(forward_demodulation,[],[f1666,f1680]) ).
fof(f1771,plain,
! [X0,X1] : inverse(divide(X0,X1)) = inverse(divide(divide(X0,divide(sF1,sF1)),X1)),
inference(forward_demodulation,[],[f1689,f1558]) ).
fof(f1817,plain,
! [X0,X6] : divide(X0,divide(sF1,divide(X6,divide(sF1,inverse(divide(sF1,sF1)))))) = divide(X0,divide(sF1,inverse(divide(sF1,X6)))),
inference(forward_demodulation,[],[f1756,f1558]) ).
fof(f1828,plain,
! [X0,X1] : inverse(X0) = divide(X1,divide(X0,divide(sF1,divide(X1,sF1)))),
inference(superposition,[],[f1558,f1433]) ).
fof(f1834,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,inverse(X0)))) = X1,
inference(backward_demodulation,[],[f1511,f1828]) ).
fof(f1857,plain,
! [X0,X1] : inverse(X0) = divide(X1,divide(X0,inverse(X1))),
inference(superposition,[],[f1558,f1834]) ).
fof(f1869,plain,
! [X0,X1] : inverse(X1) = divide(inverse(X0),divide(X1,X0)),
inference(superposition,[],[f1857,f1558]) ).
fof(f1887,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,sF1))) = divide(inverse(divide(divide(X0,inverse(divide(X1,sF1))),X2)),inverse(X0)),
inference(superposition,[],[f28,f1857]) ).
fof(f1888,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,sF3))) = divide(inverse(divide(divide(X0,inverse(divide(X1,sF3))),X2)),inverse(X0)),
inference(superposition,[],[f29,f1857]) ).
fof(f1893,plain,
! [X0,X1] : divide(inverse(divide(divide(X0,inverse(sF1)),divide(X1,sF1))),inverse(X0)) = X1,
inference(superposition,[],[f19,f1857]) ).
fof(f1909,plain,
inverse(sF1) = divide(divide(sF1,sF1),sF1),
inference(backward_demodulation,[],[f1547,f1869]) ).
fof(f1911,plain,
! [X0,X1] : inverse(divide(divide(inverse(divide(sF1,X1)),sF1),X0)) = divide(divide(inverse(divide(inverse(sF1),X0)),sF1),X1),
inference(backward_demodulation,[],[f1606,f1909]) ).
fof(f1972,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(divide(inverse(divide(sF1,X1)),sF1),sF1)),divide(divide(X0,sF1),X1)),
inference(superposition,[],[f1869,f1213]) ).
fof(f1974,plain,
! [X2,X3,X0,X1] : inverse(inverse(divide(X1,divide(X0,divide(X2,X3))))) = divide(inverse(divide(divide(X3,X2),X1)),X0),
inference(superposition,[],[f1869,f1]) ).
fof(f1978,plain,
! [X0,X1] : inverse(inverse(divide(X1,divide(X0,sF1)))) = divide(inverse(divide(sF1,X1)),X0),
inference(superposition,[],[f1869,f19]) ).
fof(f2034,plain,
! [X0,X1] : divide(X1,divide(X0,sF1)) = divide(inverse(divide(sF1,X1)),X0),
inference(forward_demodulation,[],[f1978,f1558]) ).
fof(f2038,plain,
! [X2,X3,X0,X1] : divide(X1,divide(X0,divide(X2,X3))) = divide(inverse(divide(divide(X3,X2),X1)),X0),
inference(forward_demodulation,[],[f1974,f1558]) ).
fof(f2039,plain,
! [X0,X1] : inverse(X0) = divide(divide(divide(inverse(divide(inverse(sF1),sF1)),sF1),X1),divide(divide(X0,sF1),X1)),
inference(forward_demodulation,[],[f1972,f1911]) ).
fof(f2129,plain,
! [X0] : inverse(divide(sF1,divide(X0,sF1))) = X0,
inference(backward_demodulation,[],[f1699,f2034]) ).
fof(f2153,plain,
! [X0,X1] : divide(divide(X0,sF1),X1) = divide(X0,divide(divide(X1,divide(sF1,sF1)),sF1)),
inference(backward_demodulation,[],[f1213,f2034]) ).
fof(f2173,plain,
! [X0,X1] : divide(divide(inverse(divide(inverse(sF1),X0)),sF1),X1) = inverse(divide(divide(X1,divide(sF1,sF1)),X0)),
inference(backward_demodulation,[],[f1911,f2034]) ).
fof(f2184,plain,
! [X2,X0,X1] : divide(X2,divide(sF1,inverse(divide(sF1,divide(X0,X1))))) = divide(divide(X2,divide(X1,X0)),divide(sF1,sF1)),
inference(backward_demodulation,[],[f1678,f2034]) ).
fof(f2187,plain,
! [X0] : divide(X0,divide(sF1,inverse(divide(sF1,sF1)))) = divide(divide(X0,sF1),divide(sF1,sF1)),
inference(backward_demodulation,[],[f1680,f2034]) ).
fof(f2191,plain,
! [X2,X3,X0] : divide(inverse(divide(X3,X2)),divide(X0,X3)) = divide(X2,divide(X0,divide(sF1,sF1))),
inference(backward_demodulation,[],[f1682,f2038]) ).
fof(f2213,plain,
! [X0,X1] : divide(divide(X1,sF1),divide(inverse(X0),divide(inverse(sF1),X0))) = X1,
inference(backward_demodulation,[],[f1893,f2038]) ).
fof(f2216,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,sF3))) = divide(X2,divide(inverse(X0),divide(inverse(divide(X1,sF3)),X0))),
inference(backward_demodulation,[],[f1888,f2038]) ).
fof(f2217,plain,
! [X2,X0,X1] : inverse(divide(X1,divide(X2,sF1))) = divide(X2,divide(inverse(X0),divide(inverse(divide(X1,sF1)),X0))),
inference(backward_demodulation,[],[f1887,f2038]) ).
fof(f2259,plain,
! [X0,X6] : divide(X0,divide(sF1,inverse(divide(sF1,X6)))) = divide(X0,divide(sF1,divide(divide(X6,sF1),divide(sF1,sF1)))),
inference(backward_demodulation,[],[f1817,f2187]) ).
fof(f2273,plain,
! [X2,X3,X0,X1,X4] : divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X1,divide(X3,X2))))) = divide(divide(inverse(X0),divide(X1,X0)),divide(sF1,sF1)),
inference(backward_demodulation,[],[f100,f2184]) ).
fof(f2294,plain,
! [X0,X1] : inverse(divide(X1,X0)) = divide(divide(inverse(divide(inverse(sF1),X0)),sF1),X1),
inference(forward_demodulation,[],[f2173,f1771]) ).
fof(f2327,plain,
! [X0,X1] : divide(divide(X0,sF1),X1) = divide(X0,divide(X1,divide(sF1,divide(sF1,sF1)))),
inference(forward_demodulation,[],[f2153,f1424]) ).
fof(f2342,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,sF1))) = divide(X2,inverse(inverse(divide(X1,sF1)))),
inference(forward_demodulation,[],[f2217,f1869]) ).
fof(f2343,plain,
! [X2,X1] : inverse(divide(X1,divide(X2,sF3))) = divide(X2,inverse(inverse(divide(X1,sF3)))),
inference(forward_demodulation,[],[f2216,f1869]) ).
fof(f2346,plain,
! [X1] : divide(divide(X1,sF1),inverse(inverse(sF1))) = X1,
inference(forward_demodulation,[],[f2213,f1869]) ).
fof(f2373,plain,
! [X0,X1] : inverse(divide(X0,divide(X1,sF1))) = divide(X1,divide(divide(X0,sF1),divide(sF1,sF1))),
inference(backward_demodulation,[],[f28,f2191]) ).
fof(f2485,plain,
! [X2,X3,X1,X4] : divide(divide(divide(X2,X3),X4),inverse(divide(X4,divide(X1,divide(X3,X2))))) = divide(inverse(X1),divide(sF1,sF1)),
inference(forward_demodulation,[],[f2273,f1869]) ).
fof(f2494,plain,
! [X0,X1] : inverse(X0) = divide(inverse(divide(X1,sF1)),divide(divide(X0,sF1),X1)),
inference(backward_demodulation,[],[f2039,f2294]) ).
fof(f2528,plain,
! [X0,X1] : divide(X1,divide(divide(X0,sF1),sF1)) = divide(divide(divide(X1,sF1),sF1),X0),
inference(backward_demodulation,[],[f1439,f2327]) ).
fof(f2539,plain,
! [X2,X1] : divide(X2,divide(X1,sF1)) = inverse(divide(X1,divide(X2,sF1))),
inference(forward_demodulation,[],[f2342,f1558]) ).
fof(f2540,plain,
! [X2,X1] : divide(X2,divide(X1,sF3)) = inverse(divide(X1,divide(X2,sF3))),
inference(forward_demodulation,[],[f2343,f1558]) ).
fof(f2543,plain,
! [X1] : divide(divide(X1,sF1),sF1) = X1,
inference(forward_demodulation,[],[f2346,f1558]) ).
fof(f2581,plain,
! [X0,X6] : divide(X0,divide(sF1,inverse(divide(sF1,X6)))) = divide(X0,inverse(divide(X6,divide(sF1,sF1)))),
inference(backward_demodulation,[],[f2259,f2373]) ).
fof(f2671,plain,
! [X0,X1] : sF3 = divide(inverse(X0),divide(divide(inverse(X1),divide(sF1,sF1)),inverse(divide(X1,divide(X0,sF3))))),
inference(backward_demodulation,[],[f72,f2485]) ).
fof(f2703,plain,
! [X0] : inverse(X0) = divide(sF1,divide(divide(X0,sF1),divide(sF1,sF1))),
inference(forward_demodulation,[],[f2494,f2191]) ).
fof(f2727,plain,
! [X0,X1] : divide(X0,divide(X1,divide(divide(X1,sF1),sF1))) = X0,
inference(backward_demodulation,[],[f1542,f2528]) ).
fof(f2770,plain,
! [X0] : divide(X0,divide(sF1,sF1)) = X0,
inference(backward_demodulation,[],[f2129,f2539]) ).
fof(f2848,plain,
! [X0,X1] : divide(inverse(X0),divide(sF1,inverse(divide(sF1,X0)))) = divide(X1,X1),
inference(backward_demodulation,[],[f1540,f2543]) ).
fof(f2883,plain,
! [X0,X6] : divide(X0,divide(sF1,inverse(divide(sF1,X6)))) = divide(X0,divide(sF1,divide(X6,sF1))),
inference(forward_demodulation,[],[f2581,f2539]) ).
fof(f3010,plain,
! [X0,X1] : sF3 = divide(inverse(X0),divide(divide(inverse(X1),divide(sF1,sF1)),divide(X0,divide(X1,sF3)))),
inference(forward_demodulation,[],[f2671,f2540]) ).
fof(f3047,plain,
! [X0,X1] : divide(X0,divide(X1,X1)) = X0,
inference(forward_demodulation,[],[f2727,f2543]) ).
fof(f3094,plain,
! [X0] : inverse(X0) = divide(sF1,divide(X0,sF1)),
inference(backward_demodulation,[],[f2703,f2770]) ).
fof(f3233,plain,
! [X0,X1] : divide(X1,X1) = divide(inverse(X0),divide(sF1,divide(X0,sF1))),
inference(backward_demodulation,[],[f2848,f2883]) ).
fof(f3346,plain,
! [X0,X1] : sF3 = divide(inverse(X0),divide(inverse(X1),divide(X0,divide(X1,sF3)))),
inference(forward_demodulation,[],[f3010,f2770]) ).
fof(f3579,plain,
! [X0,X1] : divide(inverse(X0),inverse(X0)) = divide(X1,X1),
inference(forward_demodulation,[],[f3233,f3094]) ).
fof(f4850,plain,
! [X0] : divide(X0,sF3) = X0,
inference(superposition,[],[f3047,f12]) ).
fof(f4854,plain,
! [X0,X1] : sF3 = divide(inverse(X0),divide(inverse(X1),divide(X0,X1))),
inference(backward_demodulation,[],[f3346,f4850]) ).
fof(f4887,plain,
! [X0] : sF3 = divide(inverse(X0),inverse(X0)),
inference(forward_demodulation,[],[f4854,f1869]) ).
fof(f4911,plain,
! [X1] : sF3 = divide(X1,X1),
inference(backward_demodulation,[],[f3579,f4887]) ).
fof(f4935,plain,
sF1 = sF3,
inference(backward_demodulation,[],[f8,f4911]) ).
fof(f4952,plain,
$false,
inference(forward_subsumption_resolution,[],[f4935,f13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP469-1 : TPTP v9.3.1. Released v2.6.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n015.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 10:08:46 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 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
% 12.08/2.58 % (1425315)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.08/2.58 % (1425320)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=546712416:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.08/2.58 % (1425326)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=4259291474:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.08/2.58 % (1425324)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2106282548:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.08/2.58 % (1425321)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=1873251739:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.08/2.58 % (1425323)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=919180420:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.08/2.58 % (1425322)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=815699500:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.08/2.58 % (1425325)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3737504290:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.08/2.58 % (1425323)Instruction limit reached!
% 12.08/2.58 % (1425323)------------------------------
% 12.08/2.58 % (1425323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425323)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425323)Termination reason: Instruction limit
% 12.08/2.58 % (1425323)Termination phase: Saturation
% 12.08/2.58 % (1425323)Time elapsed: 0.080 s
% 12.08/2.58 % (1425323)Peak memory usage: 89 MB
% 12.08/2.58 % (1425323)Instructions burned: 136 (million)
% 12.08/2.58 % (1425324)Instruction limit reached!
% 12.08/2.58 % (1425324)------------------------------
% 12.08/2.58 % (1425324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425324)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425324)Termination reason: Instruction limit
% 12.08/2.58 % (1425324)Termination phase: Saturation
% 12.08/2.58 % (1425324)Time elapsed: 0.097 s
% 12.08/2.58 % (1425324)Peak memory usage: 89 MB
% 12.08/2.58 % (1425324)Instructions burned: 182 (million)
% 12.08/2.58 % (1425325)Instruction limit reached!
% 12.08/2.58 % (1425325)------------------------------
% 12.08/2.58 % (1425325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425325)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425325)Termination reason: Instruction limit
% 12.08/2.58 % (1425325)Termination phase: Saturation
% 12.08/2.58 % (1425325)Time elapsed: 0.159 s
% 12.08/2.58 % (1425325)Peak memory usage: 91 MB
% 12.08/2.58 % (1425325)Instructions burned: 258 (million)
% 12.08/2.58 % (1425334)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2060733205:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.08/2.58 % (1425335)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=609905782:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 12.08/2.58 % (1425336)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2997073873:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 12.08/2.58 % (1425336)Instruction limit reached!
% 12.08/2.58 % (1425336)------------------------------
% 12.08/2.58 % (1425336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425336)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425336)Termination reason: Instruction limit
% 12.08/2.58 % (1425336)Termination phase: Saturation
% 12.08/2.58 % (1425336)Time elapsed: 0.129 s
% 12.08/2.58 % (1425336)Peak memory usage: 89 MB
% 12.08/2.58 % (1425336)Instructions burned: 215 (million)
% 12.08/2.58 % (1425340)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=3651900148:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 12.08/2.58 % (1425326)Instruction limit reached!
% 12.08/2.58 % (1425326)------------------------------
% 12.08/2.58 % (1425326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425326)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425326)Termination reason: Instruction limit
% 12.08/2.58 % (1425326)Termination phase: Saturation
% 12.08/2.58 % (1425326)Time elapsed: 0.632 s
% 12.08/2.58 % (1425326)Peak memory usage: 99 MB
% 12.08/2.58 % (1425326)Instructions burned: 1189 (million)
% 12.08/2.58 % (1425342)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=2308077654:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 12.08/2.58 % (1425340)Instruction limit reached!
% 12.08/2.58 % (1425340)------------------------------
% 12.08/2.58 % (1425340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425340)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425340)Termination reason: Instruction limit
% 12.08/2.58 % (1425340)Termination phase: Saturation
% 12.08/2.58 % (1425340)Time elapsed: 0.176 s
% 12.08/2.58 % (1425340)Peak memory usage: 92 MB
% 12.08/2.58 % (1425340)Instructions burned: 318 (million)
% 12.08/2.58 % (1425344)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2936457694:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 12.08/2.58 % (1425322)First to succeed.
% 12.08/2.58 % (1425322)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1425315"
% 12.08/2.58 % (1425344)Also succeeded, but the first one will report.
% 12.08/2.58 % (1425334)Instruction limit reached!
% 12.08/2.58 % (1425334)------------------------------
% 12.08/2.58 % (1425334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.08/2.58 % (1425334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.08/2.58 % (1425334)CaDiCaL version: 2.1.3
% 12.08/2.58 % (1425334)Termination reason: Instruction limit
% 12.08/2.58 % (1425334)Termination phase: Saturation
% 12.08/2.58 % (1425334)Time elapsed: 1.250 s
% 12.08/2.58 % (1425334)Peak memory usage: 142 MB
% 12.08/2.58 % (1425334)Instructions burned: 2054 (million)
% 12.08/2.58 % (1425320)Also succeeded, but the first one will report.
% 12.08/2.58 % (1425335)Also succeeded, but the first one will report.
% 12.08/2.58 % (1425322)Refutation found. Thanks to Tanya!
% 12.08/2.58 % SZS status Unsatisfiable for theBenchmark
% 12.08/2.58 % SZS output start Proof for theBenchmark
% See solution above
% 12.81/2.74 % (1425322)------------------------------
% 12.81/2.74 % (1425322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.81/2.74 % (1425322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.81/2.74 % (1425322)CaDiCaL version: 2.1.3
% 12.81/2.74 % (1425322)Termination reason: Refutation
% 12.81/2.74 % (1425322)Time elapsed: 1.296 s
% 12.81/2.74 % (1425322)Peak memory usage: 137 MB
% 12.81/2.74 % (1425322)Instructions burned: 2126 (million)
% 12.81/2.74 % (1425322)------------------------------
% 12.81/2.74 % (1425322)------------------------------
% 12.81/2.74 % (1425315)Success in time 1.735 s
% 12.81/2.74 % Vampire exiting
%------------------------------------------------------------------------------