%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:34:03 PM UTC 2026
% Result : Theorem 26.19s 5.05s
% Output : Refutation 27.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 14
% Syntax : Number of formulae : 223 ( 219 unt; 0 def)
% Number of atoms : 227 ( 226 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 10 ( 6 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 413 ( 410 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity) ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity) ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux3_a_kind_of_de_Morgan) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet) ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity) ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity) ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity) ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence) ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity) ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity) ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity) ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top) ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero) ).
fof(f14,conjecture,
! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> composition(X0,meet(X1,X2)) = meet(composition(X0,X1),composition(X0,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] :
( join(composition(converse(X0),X0),one) = one
=> composition(X0,meet(X1,X2)) = meet(composition(X0,X1),composition(X0,X2)) ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0,X1,X2] :
( composition(X0,meet(X1,X2)) != meet(composition(X0,X1),composition(X0,X2))
& join(composition(converse(X0),X0),one) = one ),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
( composition(sK0,meet(sK1,sK2)) != meet(composition(sK0,sK1),composition(sK0,sK2))
& one = join(composition(converse(sK0),sK0),one) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f16]) ).
fof(f18,plain,
one = join(composition(converse(sK0),sK0),one),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
composition(sK0,meet(sK1,sK2)) != meet(composition(sK0,sK1),composition(sK0,sK2)),
inference(cnf_transformation,[],[f17]) ).
fof(f20,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f21,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f22,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f23,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f24,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f25,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f26,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f27,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f30,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f31,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f32,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f33,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != complement(join(complement(composition(sK0,sK1)),complement(composition(sK0,sK2)))),
inference(definition_unfolding,[],[f19,f24,f24]) ).
fof(f34,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f28,f24]) ).
fof(f35,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f25,f27]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f21,f27]) ).
fof(f37,plain,
one = join(one,composition(converse(sK0),sK0)),
inference(forward_demodulation,[],[f18,f27]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),complement(complement(join(complement(X0),complement(X1))))))),
inference(superposition,[],[f35,f35]) ).
fof(f45,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f35,f35]) ).
fof(f47,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f35,f27]) ).
fof(f48,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f45,f27]) ).
fof(f49,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f48,f27]) ).
fof(f50,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))),
inference(forward_demodulation,[],[f49,f26]) ).
fof(f51,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f22,f32]) ).
fof(f62,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f29,f32]) ).
fof(f64,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f23,f29]) ).
fof(f71,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f26,f35]) ).
fof(f80,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f27,f26]) ).
fof(f218,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f62,f30]) ).
fof(f226,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f218,f32]) ).
fof(f236,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f23,f226]) ).
fof(f237,plain,
one = converse(one),
inference(superposition,[],[f30,f226]) ).
fof(f238,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f236,f237]) ).
fof(f252,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f36,f32]) ).
fof(f299,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(superposition,[],[f238,f37]) ).
fof(f316,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f299,f31]) ).
fof(f380,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f51,f20]) ).
fof(f484,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f64,f29]) ).
fof(f496,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f484,f22]) ).
fof(f506,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f496,f22]) ).
fof(f512,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f506,f29]) ).
fof(f535,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f32,f512]) ).
fof(f542,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f535,f32]) ).
fof(f575,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f542,f30]) ).
fof(f593,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f26,f542]) ).
fof(f621,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sK0),sK0))),
inference(superposition,[],[f575,f37]) ).
fof(f656,plain,
! [X0] : join(X0,composition(X0,composition(converse(sK0),sK0))) = X0,
inference(forward_demodulation,[],[f621,f30]) ).
fof(f696,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(X0),composition(converse(sK0),sK0)))),
inference(superposition,[],[f51,f656]) ).
fof(f697,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(composition(converse(sK0),sK0)),X0)),
inference(forward_demodulation,[],[f696,f62]) ).
fof(f714,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(composition(converse(sK0),sK0),X0)),
inference(forward_demodulation,[],[f697,f62]) ).
fof(f724,plain,
! [X0] : converse(converse(X0)) = join(X0,composition(converse(sK0),composition(sK0,X0))),
inference(forward_demodulation,[],[f714,f31]) ).
fof(f729,plain,
! [X0] : converse(converse(X0)) = composition(one,X0),
inference(forward_demodulation,[],[f724,f316]) ).
fof(f732,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[],[f729,f32]) ).
fof(f824,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f252,f732]) ).
fof(f835,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f26,f252]) ).
fof(f841,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f824,f226]) ).
fof(f857,plain,
! [X0] : join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))) = X0,
inference(superposition,[],[f35,f841]) ).
fof(f858,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f71,f841]) ).
fof(f862,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f858,f35]) ).
fof(f863,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f857,f34]) ).
fof(f870,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f863,f27]) ).
fof(f898,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f862,f50]) ).
fof(f902,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f862,f862]) ).
fof(f954,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f898,f27]) ).
fof(f955,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f898,f71]) ).
fof(f970,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f898,f380]) ).
fof(f1004,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f955,f26]) ).
fof(f1024,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f71,f902]) ).
fof(f1041,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f1024,f80]) ).
fof(f1046,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f1041,f1004]) ).
fof(f1068,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f898,f1046]) ).
fof(f1072,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(complement(X0)),complement(X1)))),
inference(superposition,[],[f35,f1046]) ).
fof(f1074,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f841,f1046]) ).
fof(f1088,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(superposition,[],[f27,f1046]) ).
fof(f1089,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,complement(complement(X0)))),
inference(superposition,[],[f80,f1046]) ).
fof(f1110,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f1074,f902]) ).
fof(f1112,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1072,f1046]) ).
fof(f1138,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f870,f1110]) ).
fof(f1152,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f841,f1110]) ).
fof(f1155,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(superposition,[],[f870,f1110]) ).
fof(f1310,plain,
converse(top) = converse(complement(converse(zero))),
inference(superposition,[],[f380,f1138]) ).
fof(f1323,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f1112,f27]) ).
fof(f1338,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(complement(complement(X0)))))),
inference(superposition,[],[f1112,f1088]) ).
fof(f1380,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(join(complement(join(X0,complement(X1))),join(X0,X1))),complement(complement(X0))),
inference(superposition,[],[f47,f1112]) ).
fof(f1401,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1380,f27]) ).
fof(f1424,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f1338,f1088]) ).
fof(f1441,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(complement(join(X0,complement(X1))),join(X0,X1)))),
inference(forward_demodulation,[],[f1401,f1046]) ).
fof(f1467,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(join(X0,X1),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f1441,f27]) ).
fof(f1485,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,join(X1,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1467,f26]) ).
fof(f1496,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1485,f954]) ).
fof(f1499,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1496,f27]) ).
fof(f1503,plain,
! [X2,X0,X1] : join(X2,complement(join(X0,X1))) = join(X2,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1496,f80]) ).
fof(f1504,plain,
! [X2,X0,X1] : join(X1,complement(join(X2,X0))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1496,f80]) ).
fof(f1514,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(complement(complement(X0)))),
inference(superposition,[],[f1496,f1088]) ).
fof(f1522,plain,
! [X2,X0,X1] : join(composition(X0,X1),complement(composition(X0,X2))) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1496,f542]) ).
fof(f1526,plain,
! [X0] : join(X0,complement(converse(top))) = join(X0,complement(converse(complement(converse(X0))))),
inference(superposition,[],[f1496,f380]) ).
fof(f1536,plain,
! [X2,X0,X1] : join(X0,join(complement(join(X0,X1)),X2)) = join(X2,join(X0,complement(X1))),
inference(superposition,[],[f80,f1496]) ).
fof(f1582,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f1526,f970]) ).
fof(f1588,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1514,f1088]) ).
fof(f2353,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(complement(converse(complement(converse(X0)))))),
inference(superposition,[],[f1496,f1582]) ).
fof(f2372,plain,
zero = complement(converse(complement(converse(zero)))),
inference(superposition,[],[f1138,f1582]) ).
fof(f2373,plain,
zero = complement(converse(top)),
inference(forward_demodulation,[],[f2372,f1310]) ).
fof(f2387,plain,
! [X0] : join(X0,complement(X0)) = join(converse(complement(converse(X0))),X0),
inference(forward_demodulation,[],[f2353,f1088]) ).
fof(f2401,plain,
! [X0] : join(X0,complement(X0)) = join(X0,converse(complement(converse(X0)))),
inference(forward_demodulation,[],[f2387,f27]) ).
fof(f2405,plain,
! [X0] : join(X0,complement(X0)) = converse(top),
inference(forward_demodulation,[],[f2401,f380]) ).
fof(f2409,plain,
top = converse(top),
inference(forward_demodulation,[],[f2405,f20]) ).
fof(f2420,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f62,f2409]) ).
fof(f3274,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(complement(complement(X0)),join(complement(join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1)))))),X2)),
inference(superposition,[],[f71,f1323]) ).
fof(f3299,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(complement(join(X1,X0)),complement(complement(join(X0,complement(X1)))))),X2)),
inference(forward_demodulation,[],[f3274,f1046]) ).
fof(f3380,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(join(X0,complement(X1)),complement(join(X1,X0)))),X2)),
inference(forward_demodulation,[],[f3299,f1088]) ).
fof(f3436,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X0,join(complement(join(X0,join(complement(X1),complement(join(X1,X0))))),X2)),
inference(forward_demodulation,[],[f3380,f26]) ).
fof(f3483,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,complement(join(complement(X1),complement(join(X1,X0)))))),
inference(forward_demodulation,[],[f3436,f1536]) ).
fof(f3524,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X2,join(X0,complement(complement(X1)))),
inference(forward_demodulation,[],[f3483,f1068]) ).
fof(f3546,plain,
! [X2,X0,X1] : join(join(X1,X0),X2) = join(X1,join(X2,X0)),
inference(forward_demodulation,[],[f3524,f1089]) ).
fof(f5095,plain,
! [X0] : zero = join(zero,composition(X0,complement(composition(converse(X0),converse(top))))),
inference(superposition,[],[f252,f2373]) ).
fof(f5137,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),converse(top)))),
inference(forward_demodulation,[],[f5095,f1138]) ).
fof(f5160,plain,
! [X0] : zero = composition(X0,complement(converse(composition(top,X0)))),
inference(forward_demodulation,[],[f5137,f29]) ).
fof(f5173,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),top))),
inference(forward_demodulation,[],[f5160,f2420]) ).
fof(f6651,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(superposition,[],[f26,f3546]) ).
fof(f6664,plain,
! [X2,X0,X1] : join(X1,complement(join(X0,X2))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1499,f3546]) ).
fof(f6970,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f1496,f6651]) ).
fof(f7010,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,X1))) = join(X0,complement(join(X1,X2))),
inference(forward_demodulation,[],[f6970,f1496]) ).
fof(f7303,plain,
! [X0,X1] : complement(join(X0,X1)) = join(complement(join(X0,X1)),complement(join(X1,X0))),
inference(superposition,[],[f841,f7010]) ).
fof(f7334,plain,
! [X0,X1] : complement(join(X1,X0)) = join(zero,complement(join(X0,X1))),
inference(superposition,[],[f1138,f7010]) ).
fof(f7335,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f7334,f1155]) ).
fof(f7540,plain,
! [X2,X0,X1] : complement(composition(X0,join(X1,X2))) = complement(join(composition(X0,X2),composition(X0,X1))),
inference(superposition,[],[f7335,f542]) ).
fof(f7736,plain,
! [X2,X0,X1] : complement(composition(X0,join(X1,X2))) = complement(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f7540,f542]) ).
fof(f17696,plain,
! [X2,X0,X1] : complement(composition(X2,complement(join(X0,X1)))) = complement(composition(X2,join(complement(join(X1,X0)),complement(join(X0,X1))))),
inference(superposition,[],[f7736,f7303]) ).
fof(f17727,plain,
! [X2,X0,X1] : complement(composition(X2,complement(join(X1,X0)))) = complement(composition(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f17696,f7303]) ).
fof(f26153,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f835,f542]) ).
fof(f35984,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(superposition,[],[f1522,f20]) ).
fof(f36480,plain,
! [X2,X0,X1] : join(composition(X0,join(X2,X1)),complement(composition(X0,top))) = join(composition(X0,join(X2,X1)),complement(composition(X0,complement(join(X1,X2))))),
inference(superposition,[],[f35984,f17727]) ).
fof(f36576,plain,
! [X2,X0,X1] : join(composition(X0,join(X2,X1)),complement(composition(X0,complement(join(X1,X2))))) = join(complement(composition(X0,top)),composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f36480,f27]) ).
fof(f44287,plain,
! [X0,X1] : join(zero,composition(X0,X1)) = composition(X0,join(complement(composition(converse(X0),top)),X1)),
inference(superposition,[],[f542,f5173]) ).
fof(f44303,plain,
! [X0] : join(zero,complement(composition(X0,top))) = join(zero,complement(composition(X0,complement(complement(composition(converse(X0),top)))))),
inference(superposition,[],[f35984,f5173]) ).
fof(f44343,plain,
! [X0] : join(zero,complement(composition(X0,top))) = complement(composition(X0,complement(complement(composition(converse(X0),top))))),
inference(forward_demodulation,[],[f44303,f1155]) ).
fof(f44359,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,join(complement(composition(converse(X0),top)),X1)),
inference(forward_demodulation,[],[f44287,f1138]) ).
fof(f44399,plain,
! [X0] : join(zero,complement(composition(X0,top))) = complement(composition(X0,composition(converse(X0),top))),
inference(forward_demodulation,[],[f44343,f1110]) ).
fof(f44433,plain,
! [X0] : complement(composition(X0,top)) = complement(composition(X0,composition(converse(X0),top))),
inference(forward_demodulation,[],[f44399,f1155]) ).
fof(f44514,plain,
! [X0,X1] : composition(X0,join(complement(composition(converse(X0),top)),complement(X1))) = composition(X0,complement(join(complement(composition(converse(X0),top)),X1))),
inference(superposition,[],[f44359,f1496]) ).
fof(f44696,plain,
! [X0,X1] : composition(X0,complement(X1)) = composition(X0,complement(join(complement(composition(converse(X0),top)),X1))),
inference(forward_demodulation,[],[f44514,f44359]) ).
fof(f46710,plain,
! [X0,X1] : join(complement(X0),composition(X1,top)) = join(complement(X0),composition(X1,complement(complement(composition(converse(X1),X0))))),
inference(superposition,[],[f26153,f20]) ).
fof(f46950,plain,
! [X0,X1] : join(complement(X0),composition(X1,top)) = join(complement(X0),composition(X1,composition(converse(X1),X0))),
inference(forward_demodulation,[],[f46710,f1110]) ).
fof(f47189,plain,
! [X0,X1] : join(complement(X1),composition(converse(X0),top)) = join(complement(X1),composition(converse(X0),composition(X0,X1))),
inference(superposition,[],[f46950,f32]) ).
fof(f51924,plain,
! [X2,X0,X1] : join(X0,complement(join(X2,complement(join(X0,X1))))) = join(X0,complement(join(X2,join(X0,complement(X1))))),
inference(superposition,[],[f6664,f1496]) ).
fof(f52384,plain,
! [X2,X0,X1] : join(X0,complement(join(complement(X1),X2))) = join(X0,complement(join(X2,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f51924,f1504]) ).
fof(f56260,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(one,X0)),complement(join(complement(X0),composition(converse(sK0),composition(sK0,X0))))),
inference(superposition,[],[f1424,f316]) ).
fof(f56428,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(one,X0)),complement(join(complement(X0),composition(converse(sK0),top)))),
inference(forward_demodulation,[],[f56260,f47189]) ).
fof(f56536,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(join(complement(X0),composition(converse(sK0),top)))),
inference(forward_demodulation,[],[f56428,f732]) ).
fof(f56602,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(X0),complement(composition(converse(sK0),top))),
inference(forward_demodulation,[],[f56536,f1496]) ).
fof(f56762,plain,
! [X0] : complement(composition(converse(sK0),composition(sK0,X0))) = join(complement(composition(converse(sK0),top)),complement(X0)),
inference(superposition,[],[f27,f56602]) ).
fof(f57241,plain,
! [X0] : composition(sK0,complement(X0)) = composition(sK0,complement(composition(converse(sK0),composition(sK0,X0)))),
inference(superposition,[],[f44359,f56762]) ).
fof(f59963,plain,
! [X0] : complement(composition(sK0,X0)) = join(complement(composition(sK0,X0)),composition(sK0,complement(X0))),
inference(superposition,[],[f252,f57241]) ).
fof(f60103,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(join(X0,X1)))),composition(sK0,complement(complement(join(X1,X0))))),
inference(superposition,[],[f59963,f17727]) ).
fof(f60111,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X0)),
inference(superposition,[],[f59963,f1110]) ).
fof(f60252,plain,
! [X0] : complement(composition(sK0,complement(X0))) = join(composition(sK0,X0),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f60111,f27]) ).
fof(f60260,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(join(X0,X1)))),composition(sK0,join(X1,X0))),
inference(forward_demodulation,[],[f60103,f1110]) ).
fof(f60317,plain,
! [X0] : join(composition(sK0,X0),complement(composition(sK0,top))) = complement(composition(sK0,complement(X0))),
inference(forward_demodulation,[],[f60252,f35984]) ).
fof(f60321,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(composition(sK0,join(X1,X0)),complement(composition(sK0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f60260,f27]) ).
fof(f60360,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,top)),composition(sK0,join(X1,X0))),
inference(forward_demodulation,[],[f60321,f36576]) ).
fof(f60415,plain,
! [X0,X1] : join(composition(sK0,join(X1,X0)),complement(composition(sK0,top))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f593,f60317]) ).
fof(f60565,plain,
! [X0,X1] : join(complement(composition(sK0,top)),composition(sK0,join(X1,X0))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f60415,f27]) ).
fof(f60635,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(composition(sK0,X1),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f60565,f60360]) ).
fof(f61330,plain,
! [X0,X1] : complement(composition(sK0,complement(join(complement(X0),X1)))) = join(composition(sK0,X1),complement(composition(sK0,X0))),
inference(superposition,[],[f60635,f1110]) ).
fof(f61372,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,X1)))) = join(complement(composition(sK0,complement(X0))),composition(sK0,X1)),
inference(superposition,[],[f27,f60635]) ).
fof(f61385,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),complement(complement(composition(sK0,complement(join(X0,X1)))))),
inference(superposition,[],[f1499,f60635]) ).
fof(f61387,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(complement(composition(sK0,complement(join(X0,X1)))))) = join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f1588,f60635]) ).
fof(f61488,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))) = join(composition(sK0,complement(join(X0,X1))),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f61387,f1088]) ).
fof(f61489,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(composition(sK0,complement(join(X0,X1))),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f61385,f1088]) ).
fof(f61588,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))) = join(complement(composition(sK0,complement(X0))),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f61488,f27]) ).
fof(f61589,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),composition(sK0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f61489,f27]) ).
fof(f61645,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))) = complement(composition(sK0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f61588,f61372]) ).
fof(f61646,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(X0,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f61589,f61372]) ).
fof(f61685,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,complement(X1))))) = join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f61645,f1496]) ).
fof(f61686,plain,
! [X0,X1] : complement(composition(sK0,complement(join(X0,complement(X1))))) = join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f61646,f1496]) ).
fof(f61750,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(join(complement(composition(converse(sK0),top)),X0),complement(X1))))),
inference(superposition,[],[f61686,f44696]) ).
fof(f62015,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(composition(converse(sK0),top)),join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f61750,f26]) ).
fof(f62123,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(composition(sK0,join(X0,complement(X1))),complement(composition(sK0,composition(converse(sK0),top)))),
inference(forward_demodulation,[],[f62015,f61330]) ).
fof(f62208,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(composition(sK0,join(X0,complement(X1))),complement(composition(sK0,top))),
inference(forward_demodulation,[],[f62123,f44433]) ).
fof(f62262,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = join(complement(composition(sK0,top)),composition(sK0,join(X0,complement(X1)))),
inference(forward_demodulation,[],[f62208,f27]) ).
fof(f62301,plain,
! [X0,X1] : join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))) = complement(composition(sK0,complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f62262,f60360]) ).
fof(f62326,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = join(complement(composition(sK0,complement(X0))),complement(composition(sK0,X1))),
inference(forward_demodulation,[],[f62301,f61330]) ).
fof(f62370,plain,
! [X0,X1] : join(composition(sK0,complement(X0)),complement(composition(sK0,X1))) = join(complement(composition(sK0,X0)),complement(composition(sK0,X1))),
inference(superposition,[],[f62326,f1110]) ).
fof(f62463,plain,
! [X0,X1] : join(composition(sK0,X0),complement(composition(sK0,X1))) = join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0)))),
inference(superposition,[],[f27,f62326]) ).
fof(f62501,plain,
! [X0,X1] : complement(join(complement(composition(sK0,X1)),complement(composition(sK0,complement(X0))))) = complement(join(composition(sK0,X0),complement(composition(sK0,X1)))),
inference(superposition,[],[f7335,f62326]) ).
fof(f62570,plain,
! [X0,X1] : complement(complement(composition(sK0,complement(join(X0,complement(X1)))))) = complement(join(composition(sK0,X0),complement(composition(sK0,X1)))),
inference(forward_demodulation,[],[f62501,f61685]) ).
fof(f62692,plain,
! [X0,X1] : composition(sK0,complement(join(X0,complement(X1)))) = complement(join(composition(sK0,X0),complement(composition(sK0,X1)))),
inference(forward_demodulation,[],[f62570,f1110]) ).
fof(f63354,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(complement(join(complement(composition(sK0,X1)),composition(sK0,complement(X0)))),complement(complement(join(composition(sK0,X0),complement(composition(sK0,X1)))))))),
inference(superposition,[],[f44,f62463]) ).
fof(f63417,plain,
! [X2,X0,X1] : join(complement(composition(sK0,X1)),complement(join(X2,complement(composition(sK0,complement(X0)))))) = join(complement(composition(sK0,X1)),complement(join(X2,join(composition(sK0,X0),complement(composition(sK0,X1)))))),
inference(superposition,[],[f6664,f62463]) ).
fof(f63507,plain,
! [X2,X0,X1] : join(complement(composition(sK0,X1)),complement(join(X2,complement(composition(sK0,complement(X0)))))) = join(complement(composition(sK0,X1)),complement(join(X2,composition(sK0,X0)))),
inference(forward_demodulation,[],[f63417,f1503]) ).
fof(f63554,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(join(composition(sK0,X0),complement(composition(sK0,X1))),complement(join(complement(composition(sK0,X1)),composition(sK0,complement(X0))))))),
inference(forward_demodulation,[],[f63354,f1088]) ).
fof(f63669,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(complement(composition(sK0,complement(X0))),join(composition(sK0,X0),complement(composition(sK0,X1)))))),
inference(forward_demodulation,[],[f63554,f52384]) ).
fof(f63739,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(complement(composition(sK0,complement(X0))),composition(sK0,X0)))),
inference(forward_demodulation,[],[f63669,f1503]) ).
fof(f63776,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(composition(sK0,X0),complement(composition(sK0,complement(X0)))))),
inference(forward_demodulation,[],[f63739,f7010]) ).
fof(f63801,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(join(composition(sK0,X0),composition(sK0,X0)))),
inference(forward_demodulation,[],[f63776,f63507]) ).
fof(f63819,plain,
! [X0,X1] : join(complement(composition(sK0,X1)),composition(sK0,complement(X0))) = join(complement(composition(sK0,X1)),complement(composition(sK0,X0))),
inference(forward_demodulation,[],[f63801,f1152]) ).
fof(f63952,plain,
! [X0,X1] : complement(join(complement(composition(sK0,X0)),complement(composition(sK0,X1)))) = complement(join(composition(sK0,complement(X1)),complement(composition(sK0,X0)))),
inference(superposition,[],[f7335,f63819]) ).
fof(f64023,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),complement(X0)))) = complement(join(complement(composition(sK0,X0)),complement(composition(sK0,X1)))),
inference(forward_demodulation,[],[f63952,f62692]) ).
fof(f67403,plain,
! [X0,X1] : complement(join(complement(composition(sK0,X1)),composition(sK0,complement(X0)))) = complement(join(complement(composition(sK0,X0)),complement(composition(sK0,X1)))),
inference(superposition,[],[f7335,f62370]) ).
fof(f67473,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),complement(X0)))) = complement(join(complement(composition(sK0,X1)),composition(sK0,complement(X0)))),
inference(forward_demodulation,[],[f67403,f64023]) ).
fof(f67558,plain,
! [X0,X1] : composition(sK0,complement(join(complement(X1),complement(X0)))) = complement(join(complement(composition(sK0,X1)),complement(composition(sK0,X0)))),
inference(forward_demodulation,[],[f67473,f63819]) ).
fof(f69117,plain,
composition(sK0,complement(join(complement(sK1),complement(sK2)))) != composition(sK0,complement(join(complement(sK1),complement(sK2)))),
inference(superposition,[],[f33,f67558]) ).
fof(f69303,plain,
$false,
inference(trivial_inequality_removal,[],[f69117]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL040+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n019.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 22:55:48 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 25.11/4.77 % (3499510)Detected formulas, will run a generic FOF schedule.
% 25.11/4.77 % (3499516)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3929793866:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 25.11/4.77 % (3499515)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=2893053906:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 25.11/4.77 % (3499517)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=4251191967:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 25.11/4.77 % (3499518)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3036640630:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 25.11/4.77 % (3499520)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2807813621:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 25.11/4.77 % (3499521)dis-21_1_sil=8000:lcm=predicate:random_seed=939359956:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 25.11/4.77 % (3499519)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3873472980:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 25.11/4.77 % (3499521)Refutation not found, incomplete strategy
% 25.11/4.77 % (3499521)------------------------------
% 25.11/4.77 % (3499521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.11/4.77 % (3499521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.11/4.77 % (3499521)CaDiCaL version: 2.1.3
% 25.11/4.77 % (3499521)Termination reason: Refutation not found, incomplete strategy
% 25.11/4.77 % (3499521)Time elapsed: 0.002 s
% 25.11/4.77 % (3499521)Peak memory usage: 88 MB
% 25.11/4.77 % (3499521)Instructions burned: 1 (million)
% 25.11/4.77 % (3499518)Instruction limit reached!
% 25.11/4.77 % (3499518)------------------------------
% 25.11/4.77 % (3499518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.11/4.77 % (3499518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.11/4.77 % (3499518)CaDiCaL version: 2.1.3
% 25.11/4.77 % (3499518)Termination reason: Instruction limit
% 25.11/4.77 % (3499518)Termination phase: Saturation
% 25.11/4.77 % (3499518)Time elapsed: 0.101 s
% 25.11/4.77 % (3499518)Peak memory usage: 89 MB
% 25.11/4.77 % (3499518)Instructions burned: 109 (million)
% 25.11/4.77 % (3499519)Instruction limit reached!
% 25.11/4.77 % (3499519)------------------------------
% 25.11/4.77 % (3499519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.11/4.77 % (3499519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.11/4.77 % (3499519)CaDiCaL version: 2.1.3
% 25.11/4.77 % (3499519)Termination reason: Instruction limit
% 25.11/4.77 % (3499519)Termination phase: Saturation
% 25.11/4.77 % (3499519)Time elapsed: 0.113 s
% 25.11/4.77 % (3499519)Peak memory usage: 89 MB
% 25.11/4.77 % (3499519)Instructions burned: 119 (million)
% 25.11/4.77 % (3499520)Instruction limit reached!
% 25.11/4.77 % (3499520)------------------------------
% 25.11/4.77 % (3499520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.11/4.77 % (3499520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.11/4.77 % (3499520)CaDiCaL version: 2.1.3
% 25.11/4.77 % (3499520)Termination reason: Instruction limit
% 25.11/4.77 % (3499520)Termination phase: Saturation
% 25.11/4.77 % (3499520)Time elapsed: 0.136 s
% 25.11/4.77 % (3499520)Peak memory usage: 89 MB
% 25.11/4.77 % (3499520)Instructions burned: 139 (million)
% 25.11/4.77 % (3499521)------------------------------
% 25.11/4.77 % (3499521)------------------------------
% 25.11/4.77 % (3499529)lrs+10_1_sil=8000:sp=occurrence:random_seed=1588190751:i=285:sd=3:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/285Mi)
% 25.11/4.77 % (3499530)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1121910337:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 25.11/4.77 % (3499531)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1448885303:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 25.11/4.77 % (3499530)Instruction limit reached!
% 25.11/4.77 % (3499530)------------------------------
% 25.11/4.77 % (3499530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499530)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499530)Termination reason: Instruction limit
% 26.19/5.05 % (3499530)Termination phase: Saturation
% 26.19/5.05 % (3499530)Time elapsed: 0.156 s
% 26.19/5.05 % (3499530)Peak memory usage: 89 MB
% 26.19/5.05 % (3499530)Instructions burned: 158 (million)
% 26.19/5.05 % (3499529)Instruction limit reached!
% 26.19/5.05 % (3499529)------------------------------
% 26.19/5.05 % (3499529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499529)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499529)Termination reason: Instruction limit
% 26.19/5.05 % (3499529)Termination phase: Saturation
% 26.19/5.05 % (3499529)Time elapsed: 0.289 s
% 26.19/5.05 % (3499529)Peak memory usage: 91 MB
% 26.19/5.05 % (3499529)Instructions burned: 285 (million)
% 26.19/5.05 % (3499534)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3825268807:s2a=on:i=248:s2at=1.23:gtg=position_2992 on theBenchmark for (2992ds/248Mi)
% 26.19/5.05 % (3499531)Instruction limit reached!
% 26.19/5.05 % (3499531)------------------------------
% 26.19/5.05 % (3499531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499531)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499531)Termination reason: Instruction limit
% 26.19/5.05 % (3499531)Termination phase: Saturation
% 26.19/5.05 % (3499531)Time elapsed: 0.324 s
% 26.19/5.05 % (3499531)Peak memory usage: 91 MB
% 26.19/5.05 % (3499531)Instructions burned: 325 (million)
% 26.19/5.05 % (3499536)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=455555512:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2991 on theBenchmark for (2991ds/294Mi)
% 26.19/5.05 % (3499534)Instruction limit reached!
% 26.19/5.05 % (3499534)------------------------------
% 26.19/5.05 % (3499534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499534)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499534)Termination reason: Instruction limit
% 26.19/5.05 % (3499534)Termination phase: Saturation
% 26.19/5.05 % (3499534)Time elapsed: 0.248 s
% 26.19/5.05 % (3499534)Peak memory usage: 91 MB
% 26.19/5.05 % (3499534)Instructions burned: 248 (million)
% 26.19/5.05 % (3499537)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2547047704:i=2350_2989 on theBenchmark for (2989ds/2350Mi)
% 26.19/5.05 % (3499539)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1560854125:cts=off:i=113:fsr=off:ss=included:sgt=4_2989 on theBenchmark for (2989ds/113Mi)
% 26.19/5.05 % (3499536)Instruction limit reached!
% 26.19/5.05 % (3499536)------------------------------
% 26.19/5.05 % (3499536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499536)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499536)Termination reason: Instruction limit
% 26.19/5.05 % (3499536)Termination phase: Saturation
% 26.19/5.05 % (3499536)Time elapsed: 0.290 s
% 26.19/5.05 % (3499536)Peak memory usage: 90 MB
% 26.19/5.05 % (3499536)Instructions burned: 295 (million)
% 26.19/5.05 % (3499539)Instruction limit reached!
% 26.19/5.05 % (3499539)------------------------------
% 26.19/5.05 % (3499539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499539)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499539)Termination reason: Instruction limit
% 26.19/5.05 % (3499539)Termination phase: Saturation
% 26.19/5.05 % (3499539)Time elapsed: 0.110 s
% 26.19/5.05 % (3499539)Peak memory usage: 90 MB
% 26.19/5.05 % (3499539)Instructions burned: 113 (million)
% 26.19/5.05 % (3499542)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2281267829:i=127:av=off:fsr=off:sup=off_2987 on theBenchmark for (2987ds/127Mi)
% 26.19/5.05 % (3499542)Refutation not found, incomplete strategy
% 26.19/5.05 % (3499542)------------------------------
% 26.19/5.05 % (3499542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499542)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499542)Termination reason: Refutation not found, incomplete strategy
% 26.19/5.05 % (3499542)Time elapsed: 0.002 s
% 26.19/5.05 % (3499542)Peak memory usage: 88 MB
% 26.19/5.05 % (3499544)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=934028152:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2985 on theBenchmark for (2985ds/114Mi)
% 26.19/5.05 % (3499545)lrs+10_1_sil=8000:sp=occurrence:random_seed=1353981579:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 26.19/5.05 % (3499544)Instruction limit reached!
% 26.19/5.05 % (3499544)------------------------------
% 26.19/5.05 % (3499544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499544)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499544)Termination reason: Instruction limit
% 26.19/5.05 % (3499544)Termination phase: Saturation
% 26.19/5.05 % (3499544)Time elapsed: 0.109 s
% 26.19/5.05 % (3499544)Peak memory usage: 89 MB
% 26.19/5.05 % (3499544)Instructions burned: 115 (million)
% 26.19/5.05 % (3499542)------------------------------
% 26.19/5.05 % (3499542)------------------------------
% 26.19/5.05 % (3499549)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=1698006503:i=437:sd=1:aac=none:ss=included_2981 on theBenchmark for (2981ds/437Mi)
% 26.19/5.05 % (3499550)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2049212627:i=5202:ss=axioms:sgt=16_2979 on theBenchmark for (2979ds/5202Mi)
% 26.19/5.05 % (3499549)Instruction limit reached!
% 26.19/5.05 % (3499549)------------------------------
% 26.19/5.05 % (3499549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499549)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499549)Termination reason: Instruction limit
% 26.19/5.05 % (3499549)Termination phase: Saturation
% 26.19/5.05 % (3499549)Time elapsed: 0.374 s
% 26.19/5.05 % (3499549)Peak memory usage: 90 MB
% 26.19/5.05 % (3499549)Instructions burned: 437 (million)
% 26.19/5.05 % (3499545)Instruction limit reached!
% 26.19/5.05 % (3499545)------------------------------
% 26.19/5.05 % (3499545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499545)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499545)Termination reason: Instruction limit
% 26.19/5.05 % (3499545)Termination phase: Saturation
% 26.19/5.05 % (3499545)Time elapsed: 0.889 s
% 26.19/5.05 % (3499545)Peak memory usage: 96 MB
% 26.19/5.05 % (3499545)Instructions burned: 907 (million)
% 26.19/5.05 % (3499553)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=3063705302:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2974 on theBenchmark for (2974ds/134Mi)
% 26.19/5.05 % (3499553)Refutation not found, incomplete strategy
% 26.19/5.05 % (3499553)------------------------------
% 26.19/5.05 % (3499553)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499553)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499553)Termination reason: Refutation not found, incomplete strategy
% 26.19/5.05 % (3499553)Time elapsed: 0.003 s
% 26.19/5.05 % (3499553)Peak memory usage: 89 MB
% 26.19/5.05 % (3499553)Instructions burned: 1 (million)
% 26.19/5.05 % (3499554)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=4030914817:st=8:i=592:sd=3:ep=RST:ss=axioms_2973 on theBenchmark for (2973ds/592Mi)
% 26.19/5.05 % (3499553)------------------------------
% 26.19/5.05 % (3499553)------------------------------
% 26.19/5.05 % (3499554)Instruction limit reached!
% 26.19/5.05 % (3499554)------------------------------
% 26.19/5.05 % (3499554)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.19/5.05 % (3499554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.19/5.05 % (3499554)CaDiCaL version: 2.1.3
% 26.19/5.05 % (3499554)Termination reason: Instruction limit
% 26.19/5.05 % (3499554)Termination phase: Saturation
% 26.19/5.05 % (3499554)Time elapsed: 0.569 s
% 26.19/5.05 % (3499554)Peak memory usage: 94 MB
% 26.19/5.05 % (3499554)Instructions burned: 592 (million)
% 26.19/5.05 % (3499558)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=1760129118:st=3:i=13193:sd=3:ss=axioms_2967 on theBenchmark for (2967ds/13193Mi)
% 26.19/5.05 % (3499516)First to succeed.
% 26.19/5.05 % (3499516)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3499510"
% 26.19/5.05 % (3499516)Refutation found. Thanks to Tanya!
% 26.19/5.05 % SZS status Theorem for theBenchmark
% 26.19/5.05 % SZS output start Proof for theBenchmark
% See solution above
% 27.96/5.26 % (3499516)------------------------------
% 27.96/5.26 % (3499516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 27.96/5.26 % (3499516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 27.96/5.26 % (3499516)CaDiCaL version: 2.1.3
% 27.96/5.26 % (3499516)Termination reason: Refutation
% 27.96/5.26 % (3499516)Time elapsed: 3.345 s
% 27.96/5.26 % (3499516)Peak memory usage: 175 MB
% 27.96/5.26 % (3499516)Instructions burned: 5977 (million)
% 27.96/5.26 % (3499516)------------------------------
% 27.96/5.26 % (3499516)------------------------------
% 27.96/5.26 % (3499510)Success in time 3.835 s
% 27.96/5.26 % Vampire exiting
%------------------------------------------------------------------------------