%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL045+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 : n026.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 12:34:07 PM UTC 2026
% Result : Theorem 32.56s 5.87s
% Output : Refutation 33.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 14
% Syntax : Number of formulae : 137 ( 137 unt; 0 def)
% Number of atoms : 137 ( 136 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 232 ( 231 !; 1 ?)
% 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] : join(X0,composition(composition(X0,converse(X0)),X0)) = composition(composition(X0,converse(X0)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
fof(f15,negated_conjecture,
~ ! [X0] : join(X0,composition(composition(X0,converse(X0)),X0)) = composition(composition(X0,converse(X0)),X0),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
? [X0] : composition(composition(X0,converse(X0)),X0) != join(X0,composition(composition(X0,converse(X0)),X0)),
inference(ennf_transformation,[],[f15]) ).
fof(f17,plain,
composition(composition(sK0,converse(sK0)),sK0) != join(sK0,composition(composition(sK0,converse(sK0)),sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f16]) ).
fof(f18,plain,
composition(composition(sK0,converse(sK0)),sK0) != join(sK0,composition(composition(sK0,converse(sK0)),sK0)),
inference(cnf_transformation,[],[f17]) ).
fof(f19,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[],[f12]) ).
fof(f20,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(cnf_transformation,[],[f11]) ).
fof(f21,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[],[f9]) ).
fof(f22,plain,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[],[f7]) ).
fof(f23,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(cnf_transformation,[],[f4]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(cnf_transformation,[],[f3]) ).
fof(f25,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[],[f2]) ).
fof(f26,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[],[f10]) ).
fof(f28,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[],[f6]) ).
fof(f29,plain,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[],[f5]) ).
fof(f30,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[],[f8]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[],[f13]) ).
fof(f32,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f31,f23]) ).
fof(f33,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f24,f26]) ).
fof(f34,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f20,f26]) ).
fof(f35,plain,
composition(sK0,composition(converse(sK0),sK0)) != join(sK0,composition(sK0,composition(converse(sK0),sK0))),
inference(forward_demodulation,[],[f18,f29]) ).
fof(f36,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f34,f30]) ).
fof(f38,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f27,f30]) ).
fof(f40,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f22,f27]) ).
fof(f102,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f38,f28]) ).
fof(f103,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f102,f30]) ).
fof(f115,plain,
one = converse(one),
inference(superposition,[],[f28,f103]) ).
fof(f120,plain,
! [X0] : composition(one,X0) = X0,
inference(superposition,[],[f103,f115]) ).
fof(f142,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f26,f25]) ).
fof(f156,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f33,f33]) ).
fof(f158,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f33,f26]) ).
fof(f159,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f25,f33]) ).
fof(f160,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,[],[f156,f26]) ).
fof(f161,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,[],[f160,f26]) ).
fof(f162,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,[],[f161,f25]) ).
fof(f201,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f25,f19]) ).
fof(f226,plain,
zero = complement(top),
inference(superposition,[],[f32,f19]) ).
fof(f227,plain,
! [X0] : join(complement(join(complement(X0),complement(X0))),zero) = X0,
inference(superposition,[],[f33,f32]) ).
fof(f230,plain,
! [X0,X1] : join(complement(join(complement(X0),join(complement(X1),complement(complement(X1))))),complement(join(complement(X0),zero))) = X0,
inference(superposition,[],[f33,f32]) ).
fof(f232,plain,
! [X0,X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,join(complement(X0),complement(complement(X0))))))),
inference(superposition,[],[f34,f32]) ).
fof(f233,plain,
! [X1] : zero = join(zero,composition(converse(X1),complement(composition(X1,top)))),
inference(forward_demodulation,[],[f232,f19]) ).
fof(f235,plain,
! [X0,X1] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),join(complement(X1),complement(complement(X1)))))) = X0,
inference(forward_demodulation,[],[f230,f26]) ).
fof(f237,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f227,f26]) ).
fof(f239,plain,
! [X0] : join(complement(join(complement(X0),zero)),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f235,f19]) ).
fof(f241,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(complement(X0),zero))) = X0,
inference(forward_demodulation,[],[f239,f26]) ).
fof(f243,plain,
! [X0] : join(complement(join(complement(X0),top)),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f241,f26]) ).
fof(f244,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(complement(X0),top))) = X0,
inference(forward_demodulation,[],[f243,f26]) ).
fof(f245,plain,
! [X0] : join(complement(join(zero,complement(X0))),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f244,f26]) ).
fof(f246,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(join(zero,complement(X0)))) = X0,
inference(forward_demodulation,[],[f245,f26]) ).
fof(f425,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f201,f26]) ).
fof(f465,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(converse(one),X0))),
inference(superposition,[],[f36,f120]) ).
fof(f474,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(forward_demodulation,[],[f465,f103]) ).
fof(f488,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(superposition,[],[f201,f474]) ).
fof(f494,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f488,f19]) ).
fof(f636,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(complement(X0),join(complement(composition(X1,complement(composition(converse(X1),X0)))),complement(complement(X0)))))),
inference(superposition,[],[f162,f36]) ).
fof(f658,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(top,complement(composition(X1,complement(composition(converse(X1),X0))))))),
inference(forward_demodulation,[],[f636,f425]) ).
fof(f675,plain,
! [X0] : complement(X0) = join(complement(X0),complement(top)),
inference(forward_demodulation,[],[f658,f494]) ).
fof(f684,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f675,f226]) ).
fof(f691,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f684,f26]) ).
fof(f709,plain,
! [X0] : complement(join(complement(X0),complement(X0))) = X0,
inference(superposition,[],[f237,f691]) ).
fof(f710,plain,
! [X0] : join(complement(join(top,complement(X0))),complement(complement(X0))) = X0,
inference(superposition,[],[f246,f691]) ).
fof(f714,plain,
! [X0] : join(complement(complement(X0)),complement(join(top,complement(X0)))) = X0,
inference(forward_demodulation,[],[f710,f26]) ).
fof(f715,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f709,f474]) ).
fof(f717,plain,
! [X0] : join(complement(complement(X0)),complement(top)) = X0,
inference(forward_demodulation,[],[f714,f494]) ).
fof(f718,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f717,f26]) ).
fof(f719,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f718,f715]) ).
fof(f720,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f719,f226]) ).
fof(f729,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(superposition,[],[f36,f715]) ).
fof(f733,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f158,f715]) ).
fof(f741,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f494,f715]) ).
fof(f975,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f733,f26]) ).
fof(f2318,plain,
! [X0,X1] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(X0,complement(complement(X1))))))) = X1,
inference(superposition,[],[f33,f425]) ).
fof(f2321,plain,
! [X0,X1] : join(complement(join(top,X0)),complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f2318,f715]) ).
fof(f2362,plain,
! [X0,X1] : join(complement(top),complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f2321,f741]) ).
fof(f2389,plain,
! [X0,X1] : join(zero,complement(join(complement(X1),complement(join(X0,X1))))) = X1,
inference(forward_demodulation,[],[f2362,f226]) ).
fof(f2411,plain,
! [X0,X1] : complement(join(complement(X1),complement(join(X0,X1)))) = X1,
inference(forward_demodulation,[],[f2389,f691]) ).
fof(f2510,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f715,f2411]) ).
fof(f2708,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f2510,f26]) ).
fof(f2730,plain,
! [X0,X1] : complement(composition(converse(X1),complement(composition(X1,X0)))) = join(complement(composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0))),
inference(superposition,[],[f2510,f34]) ).
fof(f2786,plain,
! [X0,X1] : complement(composition(converse(X1),complement(composition(X1,X0)))) = join(complement(complement(X0)),complement(composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f2730,f26]) ).
fof(f2823,plain,
! [X0,X1] : complement(composition(converse(X1),complement(composition(X1,X0)))) = join(X0,complement(composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[],[f2786,f715]) ).
fof(f2877,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f2708,f715]) ).
fof(f3037,plain,
! [X2,X0,X1] : join(X1,complement(join(X0,join(complement(X1),X2)))) = X1,
inference(superposition,[],[f2877,f142]) ).
fof(f3368,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f40,f27]) ).
fof(f3388,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f3368,f21]) ).
fof(f3407,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f3388,f21]) ).
fof(f3417,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f3407,f27]) ).
fof(f3446,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f30,f3417]) ).
fof(f3461,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f3446,f30]) ).
fof(f3500,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f3461,f28]) ).
fof(f4081,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),complement(join(X0,complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))))))),
inference(superposition,[],[f162,f159]) ).
fof(f4091,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f2877,f159]) ).
fof(f4114,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f4091,f25]) ).
fof(f4123,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(forward_demodulation,[],[f4081,f3037]) ).
fof(f4219,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4123,f26]) ).
fof(f4294,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4219,f26]) ).
fof(f4337,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4294,f25]) ).
fof(f4368,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4337,f2510]) ).
fof(f4431,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(join(complement(X1),X0)))) = join(complement(join(X1,X0)),complement(complement(X0))),
inference(superposition,[],[f4368,f975]) ).
fof(f4537,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(join(complement(X1),X0)))) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f4431,f26]) ).
fof(f4581,plain,
! [X0,X1] : join(complement(join(X1,X0)),complement(complement(join(complement(X1),X0)))) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f4537,f715]) ).
fof(f4620,plain,
! [X0,X1] : join(complement(join(X1,X0)),join(complement(X1),X0)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f4581,f715]) ).
fof(f4647,plain,
! [X0,X1] : join(join(complement(X1),X0),complement(join(X1,X0))) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f4620,f26]) ).
fof(f4659,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f4647,f25]) ).
fof(f4665,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f4659,f4114]) ).
fof(f5258,plain,
! [X2,X0,X1] : join(complement(composition(X0,X1)),composition(X0,X2)) = join(composition(X0,X2),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f4665,f3461]) ).
fof(f10523,plain,
! [X0] : complement(composition(converse(X0),complement(X0))) = join(one,complement(composition(converse(X0),complement(X0)))),
inference(superposition,[],[f2823,f28]) ).
fof(f14381,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(superposition,[],[f720,f233]) ).
fof(f14513,plain,
! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(composition(converse(X0),X1),zero),
inference(superposition,[],[f3461,f14381]) ).
fof(f14530,plain,
! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(zero,composition(converse(X0),X1)),
inference(forward_demodulation,[],[f14513,f26]) ).
fof(f14563,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f14530,f720]) ).
fof(f14609,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,join(X1,complement(composition(converse(X0),top)))),
inference(superposition,[],[f14563,f30]) ).
fof(f15866,plain,
! [X0] : composition(X0,join(one,complement(composition(converse(X0),complement(X0))))) = X0,
inference(superposition,[],[f3500,f729]) ).
fof(f15944,plain,
! [X0] : composition(X0,complement(composition(converse(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f15866,f10523]) ).
fof(f16061,plain,
! [X0,X1] : join(composition(X0,X1),X0) = composition(X0,join(X1,complement(composition(converse(X0),complement(X0))))),
inference(superposition,[],[f3461,f15944]) ).
fof(f16092,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(X1,complement(composition(converse(X0),complement(X0))))),
inference(forward_demodulation,[],[f16061,f26]) ).
fof(f34898,plain,
! [X0,X1] : join(complement(composition(X0,X1)),composition(X0,complement(X1))) = join(composition(X0,complement(X1)),complement(composition(X0,top))),
inference(superposition,[],[f5258,f19]) ).
fof(f35115,plain,
! [X0,X1] : join(composition(X0,complement(X1)),complement(composition(X0,top))) = join(composition(X0,complement(X1)),complement(composition(X0,X1))),
inference(forward_demodulation,[],[f34898,f26]) ).
fof(f35469,plain,
! [X0] : join(X0,composition(X0,composition(converse(X0),complement(complement(X0))))) = composition(X0,join(composition(converse(X0),complement(complement(X0))),complement(composition(converse(X0),top)))),
inference(superposition,[],[f16092,f35115]) ).
fof(f35541,plain,
! [X0] : composition(X0,composition(converse(X0),complement(complement(X0)))) = join(X0,composition(X0,composition(converse(X0),complement(complement(X0))))),
inference(forward_demodulation,[],[f35469,f14609]) ).
fof(f35648,plain,
! [X0] : composition(X0,composition(converse(X0),X0)) = join(X0,composition(X0,composition(converse(X0),X0))),
inference(forward_demodulation,[],[f35541,f715]) ).
fof(f55080,plain,
composition(sK0,composition(converse(sK0),sK0)) != composition(sK0,composition(converse(sK0),sK0)),
inference(superposition,[],[f35,f35648]) ).
fof(f55153,plain,
$false,
inference(trivial_inequality_removal,[],[f55080]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL045+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.09 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.46 % Computer : n026.cluster.edu
% 0.21/0.46 % Model : x86_64 x86_64
% 0.21/0.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.46 % Memory : 8046.5625MB
% 0.21/0.46 % OS : Linux 6.8.0-71-generic
% 0.21/0.46 % CPULimit : 300
% 0.21/0.46 % WCLimit : 300
% 0.21/0.46 % DateTime : Sun Sep 27 22:59:42 UTC 2026
% 0.21/0.46 % CPUTime :
% 0.21/0.47 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 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
% 16.14/3.70 % (3306094)Detected formulas, will run a generic FOF schedule.
% 16.14/3.70 % (3306101)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=2260704127:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 16.14/3.70 % (3306099)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=3926536114:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 16.14/3.70 % (3306100)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=3782977488:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 16.14/3.70 % (3306103)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2711877427:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 16.14/3.70 % (3306102)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3773672090:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 16.14/3.70 % (3306102)Refutation not found, incomplete strategy
% 16.14/3.70 % (3306102)------------------------------
% 16.14/3.70 % (3306102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.70 % (3306102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.70 % (3306102)CaDiCaL version: 2.1.3
% 16.14/3.70 % (3306102)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.70 % (3306102)Time elapsed: 0.002 s
% 16.14/3.70 % (3306102)Peak memory usage: 88 MB
% 16.14/3.70 % (3306104)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3869849689:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 16.14/3.70 % (3306105)dis-21_1_sil=8000:lcm=predicate:random_seed=398687127: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)
% 16.14/3.70 % (3306105)Refutation not found, incomplete strategy
% 16.14/3.70 % (3306105)------------------------------
% 16.14/3.70 % (3306105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.70 % (3306105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.70 % (3306105)CaDiCaL version: 2.1.3
% 16.14/3.70 % (3306105)Termination reason: Refutation not found, incomplete strategy
% 16.14/3.70 % (3306105)Time elapsed: 0.002 s
% 16.14/3.70 % (3306105)Peak memory usage: 88 MB
% 16.14/3.70 % (3306105)Instructions burned: 1 (million)
% 16.14/3.70 % (3306103)Instruction limit reached!
% 16.14/3.70 % (3306103)------------------------------
% 16.14/3.70 % (3306103)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.70 % (3306103)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.70 % (3306103)CaDiCaL version: 2.1.3
% 16.14/3.70 % (3306103)Termination reason: Instruction limit
% 16.14/3.70 % (3306103)Termination phase: Saturation
% 16.14/3.70 % (3306103)Time elapsed: 0.107 s
% 16.14/3.70 % (3306103)Peak memory usage: 88 MB
% 16.14/3.70 % (3306103)Instructions burned: 119 (million)
% 16.14/3.70 % (3306104)Instruction limit reached!
% 16.14/3.70 % (3306104)------------------------------
% 16.14/3.70 % (3306104)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.70 % (3306104)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.14/3.70 % (3306104)CaDiCaL version: 2.1.3
% 16.14/3.70 % (3306104)Termination reason: Instruction limit
% 16.14/3.70 % (3306104)Termination phase: Saturation
% 16.14/3.70 % (3306104)Time elapsed: 0.137 s
% 16.14/3.70 % (3306104)Peak memory usage: 90 MB
% 16.14/3.70 % (3306104)Instructions burned: 140 (million)
% 16.14/3.70 % (3306113)lrs+10_1_sil=8000:sp=occurrence:random_seed=3727187306:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 16.14/3.70 % (3306114)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2911836356:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 16.14/3.70 % (3306102)------------------------------
% 16.14/3.70 % (3306102)------------------------------
% 16.14/3.70 % (3306105)------------------------------
% 16.14/3.70 % (3306105)------------------------------
% 16.14/3.70 % (3306101)Refutation not found, incomplete strategy
% 16.14/3.70 % (3306101)------------------------------
% 16.14/3.70 % (3306101)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.14/3.70 % (3306101)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306101)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306101)Termination reason: Refutation not found, incomplete strategy
% 24.06/4.63 % (3306101)Time elapsed: 0.597 s
% 24.06/4.63 % (3306101)Peak memory usage: 127 MB
% 24.06/4.63 % (3306101)Instructions burned: 893 (million)
% 24.06/4.63 % (3306114)Instruction limit reached!
% 24.06/4.63 % (3306114)------------------------------
% 24.06/4.63 % (3306114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306114)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306114)Termination reason: Instruction limit
% 24.06/4.63 % (3306114)Termination phase: Saturation
% 24.06/4.63 % (3306114)Time elapsed: 0.158 s
% 24.06/4.63 % (3306114)Peak memory usage: 90 MB
% 24.06/4.63 % (3306114)Instructions burned: 157 (million)
% 24.06/4.63 % (3306117)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3685366857:i=325:sd=1:ss=axioms:sgt=32_2993 on theBenchmark for (2993ds/325Mi)
% 24.06/4.63 % (3306113)Instruction limit reached!
% 24.06/4.63 % (3306113)------------------------------
% 24.06/4.63 % (3306113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306113)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306113)Termination reason: Instruction limit
% 24.06/4.63 % (3306113)Termination phase: Saturation
% 24.06/4.63 % (3306113)Time elapsed: 0.284 s
% 24.06/4.63 % (3306113)Peak memory usage: 91 MB
% 24.06/4.63 % (3306113)Instructions burned: 285 (million)
% 24.06/4.63 % (3306118)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=1059797868:s2a=on:i=248:s2at=1.23:gtg=position_2993 on theBenchmark for (2993ds/248Mi)
% 24.06/4.63 % (3306117)Instruction limit reached!
% 24.06/4.63 % (3306117)------------------------------
% 24.06/4.63 % (3306117)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306117)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306117)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306117)Termination reason: Instruction limit
% 24.06/4.63 % (3306117)Termination phase: Saturation
% 24.06/4.63 % (3306117)Time elapsed: 0.175 s
% 24.06/4.63 % (3306117)Peak memory usage: 91 MB
% 24.06/4.63 % (3306117)Instructions burned: 325 (million)
% 24.06/4.63 % (3306119)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1493869318:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2992 on theBenchmark for (2992ds/294Mi)
% 24.06/4.63 % (3306119)Refutation not found, incomplete strategy
% 24.06/4.63 % (3306119)------------------------------
% 24.06/4.63 % (3306119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306119)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306119)Termination reason: Refutation not found, incomplete strategy
% 24.06/4.63 % (3306119)Time elapsed: 0.002 s
% 24.06/4.63 % (3306119)Peak memory usage: 88 MB
% 24.06/4.63 % (3306119)Instructions burned: 1 (million)
% 24.06/4.63 % (3306121)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=4144653754:i=2350_2991 on theBenchmark for (2991ds/2350Mi)
% 24.06/4.63 % (3306118)Instruction limit reached!
% 24.06/4.63 % (3306118)------------------------------
% 24.06/4.63 % (3306118)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306118)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306118)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306118)Termination reason: Instruction limit
% 24.06/4.63 % (3306118)Termination phase: Saturation
% 24.06/4.63 % (3306118)Time elapsed: 0.243 s
% 24.06/4.63 % (3306118)Peak memory usage: 91 MB
% 24.06/4.63 % (3306118)Instructions burned: 248 (million)
% 24.06/4.63 % (3306101)------------------------------
% 24.06/4.63 % (3306101)------------------------------
% 24.06/4.63 % (3306123)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=1635624340:cts=off:i=113:fsr=off:ss=included:sgt=4_2990 on theBenchmark for (2990ds/113Mi)
% 24.06/4.63 % (3306123)Refutation not found, incomplete strategy
% 24.06/4.63 % (3306123)------------------------------
% 24.06/4.63 % (3306123)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.06/4.63 % (3306123)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.06/4.63 % (3306123)CaDiCaL version: 2.1.3
% 24.06/4.63 % (3306123)Termination reason: Refutation not found, incomplete strategy
% 31.95/5.79 % (3306123)Time elapsed: 0.001 s
% 31.95/5.79 % (3306123)Peak memory usage: 88 MB
% 31.95/5.79 % (3306126)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2869211514:i=127:av=off:fsr=off:sup=off_2988 on theBenchmark for (2988ds/127Mi)
% 31.95/5.79 % (3306126)Refutation not found, incomplete strategy
% 31.95/5.79 % (3306126)------------------------------
% 31.95/5.79 % (3306126)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.95/5.79 % (3306126)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.95/5.79 % (3306126)CaDiCaL version: 2.1.3
% 31.95/5.79 % (3306126)Termination reason: Refutation not found, incomplete strategy
% 31.95/5.79 % (3306126)Time elapsed: 0.002 s
% 31.95/5.79 % (3306126)Peak memory usage: 88 MB
% 31.95/5.79 % (3306119)------------------------------
% 31.95/5.79 % (3306119)------------------------------
% 31.95/5.79 % (3306127)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=662808393:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2988 on theBenchmark for (2988ds/114Mi)
% 31.95/5.79 % (3306123)------------------------------
% 31.95/5.79 % (3306123)------------------------------
% 31.95/5.79 % (3306127)Instruction limit reached!
% 31.95/5.79 % (3306127)------------------------------
% 31.95/5.79 % (3306127)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.95/5.79 % (3306127)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.95/5.79 % (3306127)CaDiCaL version: 2.1.3
% 31.95/5.79 % (3306127)Termination reason: Instruction limit
% 31.95/5.79 % (3306127)Termination phase: Saturation
% 31.95/5.79 % (3306127)Time elapsed: 0.111 s
% 31.95/5.79 % (3306127)Peak memory usage: 89 MB
% 31.95/5.79 % (3306127)Instructions burned: 114 (million)
% 31.95/5.79 % (3306132)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=4268950046:i=437:sd=1:aac=none:ss=included_2985 on theBenchmark for (2985ds/437Mi)
% 31.95/5.79 % (3306132)Refutation not found, incomplete strategy
% 31.95/5.79 % (3306132)------------------------------
% 31.95/5.79 % (3306132)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.95/5.79 % (3306132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.95/5.80 % (3306132)CaDiCaL version: 2.1.3
% 31.95/5.80 % (3306132)Termination reason: Refutation not found, incomplete strategy
% 31.95/5.80 % (3306132)Time elapsed: 0.001 s
% 31.95/5.80 % (3306132)Peak memory usage: 88 MB
% 31.95/5.80 % (3306131)lrs+10_1_sil=8000:sp=occurrence:random_seed=2858841601:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2985 on theBenchmark for (2985ds/907Mi)
% 31.95/5.80 % (3306126)------------------------------
% 31.95/5.80 % (3306126)------------------------------
% 31.95/5.80 % (3306133)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1175622944:i=5202:ss=axioms:sgt=16_2984 on theBenchmark for (2984ds/5202Mi)
% 31.95/5.80 % (3306132)------------------------------
% 31.95/5.80 % (3306132)------------------------------
% 31.95/5.80 % (3306138)lrs+1002_8_sil=8000:sp=occurrence:sos=on:sac=on:random_seed=1512632331:st=8:i=592:sd=3:ep=RST:ss=axioms_2981 on theBenchmark for (2981ds/592Mi)
% 31.95/5.80 % (3306137)dis+10_3:1_sil=8000:acc=on:urr=on:br=off:sac=on:newcnf=on:random_seed=952614481:i=134:sd=2:doe=on:nm=16:sup=off:ss=included_2982 on theBenchmark for (2982ds/134Mi)
% 31.95/5.80 % (3306137)Refutation not found, incomplete strategy
% 31.95/5.80 % (3306137)------------------------------
% 31.95/5.80 % (3306137)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.95/5.80 % (3306137)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.95/5.80 % (3306137)CaDiCaL version: 2.1.3
% 31.95/5.80 % (3306137)Termination reason: Refutation not found, incomplete strategy
% 31.95/5.80 % (3306137)Time elapsed: 0.002 s
% 31.95/5.80 % (3306137)Peak memory usage: 89 MB
% 31.95/5.80 % (3306137)Instructions burned: 1 (million)
% 31.95/5.80 % (3306138)Instruction limit reached!
% 31.95/5.80 % (3306138)------------------------------
% 31.95/5.80 % (3306138)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.95/5.80 % (3306138)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.95/5.80 % (3306138)CaDiCaL version: 2.1.3
% 31.95/5.80 % (3306138)Termination reason: Instruction limit
% 31.95/5.80 % (3306138)Termination phase: Saturation
% 31.95/5.80 % (3306138)Time elapsed: 0.315 s
% 31.95/5.80 % (3306138)Peak memory usage: 94 MB
% 31.95/5.80 % (3306138)Instructions burned: 593 (million)
% 31.95/5.80 % (3306137)------------------------------
% 32.56/5.87 % (3306137)------------------------------
% 32.56/5.87 % (3306150)lrs+10_1_ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:random_seed=2628606190:st=3:i=13193:sd=3:ss=axioms_2976 on theBenchmark for (2976ds/13193Mi)
% 32.56/5.87 % (3306131)Instruction limit reached!
% 32.56/5.87 % (3306131)------------------------------
% 32.56/5.87 % (3306131)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306131)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306131)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306131)Termination reason: Instruction limit
% 32.56/5.87 % (3306131)Termination phase: Saturation
% 32.56/5.87 % (3306131)Time elapsed: 0.883 s
% 32.56/5.87 % (3306131)Peak memory usage: 96 MB
% 32.56/5.87 % (3306131)Instructions burned: 907 (million)
% 32.56/5.87 % (3306151)lrs+1666_7_slsqr=4,1:sil=8000:plsq=on:plsqc=1:sos=on:urr=on:plsql=on:rp=on:alpa=false:sac=on:slsq=on:random_seed=2772270263:i=125:slsql=off:bs=unit_only:gtg=position:fdi=2:gsp=on:ss=axioms:sgt=8_2975 on theBenchmark for (2975ds/125Mi)
% 32.56/5.87 % (3306153)lrs+10_1024_to=lpo:sil=8000:tgt=full:sp=arity:slsq=on:random_seed=2470799084:i=134:gtgl=5:slsql=off:gtg=exists_sym_2974 on theBenchmark for (2974ds/134Mi)
% 32.56/5.87 % (3306151)Instruction limit reached!
% 32.56/5.87 % (3306151)------------------------------
% 32.56/5.87 % (3306151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306151)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306151)Termination reason: Instruction limit
% 32.56/5.87 % (3306151)Termination phase: Saturation
% 32.56/5.87 % (3306151)Time elapsed: 0.139 s
% 32.56/5.87 % (3306151)Peak memory usage: 90 MB
% 32.56/5.87 % (3306151)Instructions burned: 126 (million)
% 32.56/5.87 % (3306153)Instruction limit reached!
% 32.56/5.87 % (3306153)------------------------------
% 32.56/5.87 % (3306153)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306153)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306153)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306153)Termination reason: Instruction limit
% 32.56/5.87 % (3306153)Termination phase: Saturation
% 32.56/5.87 % (3306153)Time elapsed: 0.124 s
% 32.56/5.87 % (3306153)Peak memory usage: 89 MB
% 32.56/5.87 % (3306153)Instructions burned: 135 (million)
% 32.56/5.87 % (3306156)lrs+10_1_sil=16000:plsq=on:plsqc=1:plsqr=32,1:sos=on:lcm=reverse:fd=off:newcnf=on:random_seed=2678335666:i=141:sd=1:gsp=on:sup=off:ss=axioms:sgt=8_2971 on theBenchmark for (2971ds/141Mi)
% 32.56/5.87 % (3306156)Refutation not found, incomplete strategy
% 32.56/5.87 % (3306156)------------------------------
% 32.56/5.87 % (3306156)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306156)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306156)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306156)Termination reason: Refutation not found, incomplete strategy
% 32.56/5.87 % (3306156)Time elapsed: 0.0000 s
% 32.56/5.87 % (3306156)Peak memory usage: 88 MB
% 32.56/5.87 % (3306157)lrs+1011_1_sil=8000:plsq=on:sp=occurrence:fs=off:random_seed=1452385670:i=431:sd=1:fsr=off:sup=off:ss=axioms:sgt=64_2970 on theBenchmark for (2970ds/431Mi)
% 32.56/5.87 % (3306157)Refutation not found, incomplete strategy
% 32.56/5.87 % (3306157)------------------------------
% 32.56/5.87 % (3306157)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306157)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306157)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306157)Termination reason: Refutation not found, incomplete strategy
% 32.56/5.87 % (3306157)Time elapsed: 0.001 s
% 32.56/5.87 % (3306157)Peak memory usage: 88 MB
% 32.56/5.87 % (3306156)------------------------------
% 32.56/5.87 % (3306156)------------------------------
% 32.56/5.87 % (3306160)lrs+1010_1_ncem=casc2026/models/loop6.pt:sil=64000:tgt=full:npcc=on:prc=on:urr=ec_only:bsr=on:fd=preordered:gs=on:sac=on:newcnf=on:random_seed=1831171080:i=6060:aac=none:ins=25_2968 on theBenchmark for (2968ds/6060Mi)
% 32.56/5.87 % (3306157)------------------------------
% 32.56/5.87 % (3306157)------------------------------
% 32.56/5.87 % (3306121)Instruction limit reached!
% 32.56/5.87 % (3306121)------------------------------
% 32.56/5.87 % (3306121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306121)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306121)Termination reason: Instruction limit
% 32.56/5.87 % (3306121)Termination phase: Saturation
% 32.56/5.87 % (3306121)Time elapsed: 2.250 s
% 32.56/5.87 % (3306121)Peak memory usage: 142 MB
% 32.56/5.87 % (3306121)Instructions burned: 2353 (million)
% 32.56/5.87 % (3306162)lrs+10_16_anc=all:slsqr=32,1:sil=8000:avsql=on:sp=unary_frequency:lcm=predicate:urr=full:rp=on:br=off:slsqc=4:flr=on:sac=on:slsq=on:avsqc=1:random_seed=3721944640:avsq=on:s2a=on:i=150:kws=precedence:nicw=on:gsp=on:rawr=on_2966 on theBenchmark for (2966ds/150Mi)
% 32.56/5.87 % (3306163)lrs+1010_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=arity:urr=on:random_seed=4034230068:i=14155:bd=all_2966 on theBenchmark for (2966ds/14155Mi)
% 32.56/5.87 % (3306162)Instruction limit reached!
% 32.56/5.87 % (3306162)------------------------------
% 32.56/5.87 % (3306162)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306162)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306162)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306162)Termination reason: Instruction limit
% 32.56/5.87 % (3306162)Termination phase: Saturation
% 32.56/5.87 % (3306162)Time elapsed: 0.085 s
% 32.56/5.87 % (3306162)Peak memory usage: 90 MB
% 32.56/5.87 % (3306162)Instructions burned: 150 (million)
% 32.56/5.87 % (3306166)lrs+10_1024_sil=16000:plsq=on:plsqr=32,1:sos=all:fs=off:gs=on:newcnf=on:random_seed=3434286778:i=667:av=off:fsr=off_2964 on theBenchmark for (2964ds/667Mi)
% 32.56/5.87 % (3306166)Refutation not found, incomplete strategy
% 32.56/5.87 % (3306166)------------------------------
% 32.56/5.87 % (3306166)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306166)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306166)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306166)Termination reason: Refutation not found, incomplete strategy
% 32.56/5.87 % (3306166)Time elapsed: 0.001 s
% 32.56/5.87 % (3306166)Peak memory usage: 88 MB
% 32.56/5.87 % (3306166)------------------------------
% 32.56/5.87 % (3306166)------------------------------
% 32.56/5.87 % (3306168)ott-1011_3:1_anc=all_dependent:to=lpo:sil=8000:drc=ordering:sas=cadical:fdtod=off:sp=reverse_frequency:spb=goal_then_units:urr=full:lftc=20:newcnf=on:random_seed=632552720:s2a=on:i=185:s2at=1.8:fdi=4_2961 on theBenchmark for (2961ds/185Mi)
% 32.56/5.87 % (3306168)Instruction limit reached!
% 32.56/5.87 % (3306168)------------------------------
% 32.56/5.87 % (3306168)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306168)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306168)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306168)Termination reason: Instruction limit
% 32.56/5.87 % (3306168)Termination phase: Saturation
% 32.56/5.87 % (3306168)Time elapsed: 0.111 s
% 32.56/5.87 % (3306168)Peak memory usage: 90 MB
% 32.56/5.87 % (3306168)Instructions burned: 187 (million)
% 32.56/5.87 % (3306170)dis+1010_14_anc=all:to=lpo:sil=8000:sp=arity:slsq=on:random_seed=17593055:i=193:ins=10:fsr=off:ss=axioms:fsd=on_2958 on theBenchmark for (2958ds/193Mi)
% 32.56/5.87 % (3306100)First to succeed.
% 32.56/5.87 % (3306100)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3306094"
% 32.56/5.87 % (3306170)Instruction limit reached!
% 32.56/5.87 % (3306170)------------------------------
% 32.56/5.87 % (3306170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306170)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306170)Termination reason: Instruction limit
% 32.56/5.87 % (3306170)Termination phase: Saturation
% 32.56/5.87 % (3306170)Time elapsed: 0.100 s
% 32.56/5.87 % (3306170)Peak memory usage: 90 MB
% 32.56/5.87 % (3306170)Instructions burned: 195 (million)
% 32.56/5.87 % (3306172)dis+1011_7_sil=8000:sp=occurrence:sos=all:fd=off:random_seed=429615320:st=5.3:i=4850:sd=4:av=off:sup=off:ss=included:sgt=16_2956 on theBenchmark for (2956ds/4850Mi)
% 32.56/5.87 % (3306172)Refutation not found, incomplete strategy
% 32.56/5.87 % (3306172)------------------------------
% 32.56/5.87 % (3306172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.56/5.87 % (3306172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.56/5.87 % (3306172)CaDiCaL version: 2.1.3
% 32.56/5.87 % (3306172)Termination reason: Refutation not found, incomplete strategy
% 32.56/5.87 % (3306172)Time elapsed: 0.001 s
% 32.56/5.87 % (3306172)Peak memory usage: 88 MB
% 32.56/5.87 % (3306100)Refutation found. Thanks to Tanya!
% 32.56/5.87 % SZS status Theorem for theBenchmark
% 32.56/5.87 % SZS output start Proof for theBenchmark
% See solution above
% 33.36/6.09 % (3306100)------------------------------
% 33.36/6.09 % (3306100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.36/6.09 % (3306100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.36/6.09 % (3306100)CaDiCaL version: 2.1.3
% 33.36/6.09 % (3306100)Termination reason: Refutation
% 33.36/6.09 % (3306100)Time elapsed: 4.093 s
% 33.36/6.09 % (3306100)Peak memory usage: 164 MB
% 33.36/6.09 % (3306100)Instructions burned: 4778 (million)
% 33.36/6.09 % (3306100)------------------------------
% 33.36/6.09 % (3306100)------------------------------
% 33.36/6.09 % (3306094)Success in time 4.59 s
% 33.36/6.09 % Vampire exiting
%------------------------------------------------------------------------------