%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 : Unsatisfiable 16.50s 3.19s
% Output : Refutation 17.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 66
% Number of leaves : 18
% Syntax : Number of formulae : 210 ( 210 unt; 1 def)
% Number of atoms : 210 ( 198 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 9 ( 9 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 6 con; 0-2 aty)
% Number of variables : 319 ( 319 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux1_join_commutativity_1) ).
fof(f2,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux2_join_associativity_2) ).
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_3) ).
fof(f4,plain,
! [X0,X1] : join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) = X0,
inference(reorient_equations,[],[f3]) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',maddux4_definiton_of_meet_4) ).
fof(f6,plain,
! [X0,X1] : complement(join(complement(X0),complement(X1))) = meet(X0,X1),
inference(reorient_equations,[],[f5]) ).
fof(f7,axiom,
! [X2,X0,X1] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_associativity_5) ).
fof(f8,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f9,axiom,
! [X2,X0,X1] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_multiplicativity_10) ).
fof(f13,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_cancellativity_11) ).
fof(f14,plain,
! [X0,X1] : complement(X1) = join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)),
inference(reorient_equations,[],[f13]) ).
fof(f15,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dedekind_law_14) ).
fof(f18,plain,
! [X2,X0,X1] : composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) = join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))),
inference(reorient_equations,[],[f17]) ).
fof(f21,axiom,
! [X2,X0,X1] : join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)) = meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modular_law_2_16) ).
fof(f22,plain,
! [X2,X0,X1] : meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2) = join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2)),
inference(reorient_equations,[],[f21]) ).
fof(f23,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_17) ).
fof(f24,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f23]) ).
fof(f25,negated_conjecture,
tuple(join(meet(composition(sk1,sk2),composition(sk1,sk3)),composition(sk1,meet(sk2,sk3))),join(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3)))) != tuple(composition(sk1,meet(sk2,sk3)),meet(composition(sk1,sk2),composition(sk1,sk3))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_18) ).
fof(f26,plain,
tuple(join(complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))))) != tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(definition_unfolding,[],[f25,f6,f6,f6,f6,f6,f6]) ).
fof(f27,plain,
! [X2,X0,X1] : complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)),complement(X2)))),
inference(definition_unfolding,[],[f22,f6,f6,f6,f6,f6]) ).
fof(f29,plain,
! [X2,X0,X1] : composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2))))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),complement(join(complement(X1),complement(composition(converse(X0),X2)))))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f30,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f31,definition,
~ sP0(tuple(join(complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f32,plain,
sP0(tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))))),
inference(inequality_splitting,[],[f26,f31]) ).
fof(f33,plain,
~ sP0(tuple(join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))))),
inference(forward_demodulation,[],[f31,f1]) ).
fof(f34,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f35,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f36,plain,
zero = complement(top),
inference(forward_demodulation,[],[f30,f15]) ).
fof(f38,plain,
! [X2,X0,X1] : complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),complement(X2))),complement(join(complement(X2),complement(composition(complement(join(complement(X0),complement(composition(X2,converse(X1))))),X1))))),
inference(forward_demodulation,[],[f27,f1]) ).
fof(f39,plain,
one = join(one,composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f24,f1]) ).
fof(f45,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f34,f1]) ).
fof(f64,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f67,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f75,plain,
! [X0,X1] : composition(converse(X1),X0) = converse(composition(converse(X0),X1)),
inference(superposition,[],[f12,f10]) ).
fof(f77,plain,
! [X2,X0,X1] : composition(join(converse(X1),X2),converse(X0)) = join(converse(composition(X0,X1)),composition(X2,converse(X0))),
inference(superposition,[],[f9,f12]) ).
fof(f80,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f81,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f34,f15]) ).
fof(f83,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f81,f36]) ).
fof(f86,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f35,f10]) ).
fof(f109,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(X1,top),
inference(superposition,[],[f64,f15]) ).
fof(f149,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f35,f36]) ).
fof(f157,plain,
! [X0] : zero = join(zero,composition(X0,complement(composition(converse(X0),top)))),
inference(superposition,[],[f86,f36]) ).
fof(f179,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f45,f15]) ).
fof(f182,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X1),complement(X0)))),complement(X0)),
inference(superposition,[],[f34,f45]) ).
fof(f188,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(join(complement(X0),X1)),join(complement(X1),complement(X0))))),
inference(forward_demodulation,[],[f182,f1]) ).
fof(f189,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f179,f1]) ).
fof(f199,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),join(complement(join(complement(X0),X1)),complement(X1))))),
inference(forward_demodulation,[],[f188,f64]) ).
fof(f200,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f189,f1]) ).
fof(f205,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,[],[f199,f1]) ).
fof(f206,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f200,f36]) ).
fof(f210,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f83,f206]) ).
fof(f219,plain,
top = complement(zero),
inference(superposition,[],[f210,f36]) ).
fof(f221,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f34,f210]) ).
fof(f225,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f45,f210]) ).
fof(f235,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f221,f1]) ).
fof(f285,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f75,f8]) ).
fof(f297,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f285,f10]) ).
fof(f324,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),complement(complement(join(X1,X0)))))),
inference(superposition,[],[f235,f235]) ).
fof(f332,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f235,f1]) ).
fof(f350,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(complement(join(X1,X0))),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f324,f1]) ).
fof(f362,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(X0,complement(X1)))))),
inference(forward_demodulation,[],[f350,f210]) ).
fof(f370,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f362,f2]) ).
fof(f376,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f370,f210]) ).
fof(f382,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f376,f210]) ).
fof(f392,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f67,f15]) ).
fof(f414,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f86,f297]) ).
fof(f417,plain,
one = converse(one),
inference(superposition,[],[f8,f297]) ).
fof(f421,plain,
! [X0,X1] : composition(join(converse(one),X1),X0) = join(X0,composition(X1,X0)),
inference(superposition,[],[f9,f297]) ).
fof(f426,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(backward_demodulation,[],[f421,f417]) ).
fof(f427,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f297,f417]) ).
fof(f430,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f414,f427]) ).
fof(f432,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f430,f210]) ).
fof(f439,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(join(complement(X0),complement(complement(X0))))),
inference(superposition,[],[f235,f430]) ).
fof(f440,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),complement(top)),
inference(forward_demodulation,[],[f439,f15]) ).
fof(f445,plain,
! [X0] : complement(complement(X0)) = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[],[f440,f1]) ).
fof(f450,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f445,f210]) ).
fof(f455,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f450,f36]) ).
fof(f460,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f149,f455]) ).
fof(f461,plain,
! [X0] : zero = composition(X0,complement(composition(converse(X0),top))),
inference(backward_demodulation,[],[f157,f455]) ).
fof(f470,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f2,f432]) ).
fof(f472,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f64,f432]) ).
fof(f551,plain,
! [X0] : top = join(X0,top),
inference(superposition,[],[f470,f15]) ).
fof(f555,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f470,f221]) ).
fof(f556,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f470,f235]) ).
fof(f584,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f556,f1]) ).
fof(f585,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f555,f1]) ).
fof(f588,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f109,f551]) ).
fof(f596,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),complement(join(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f205,f584]) ).
fof(f598,plain,
! [X1] : top = join(top,X1),
inference(backward_demodulation,[],[f80,f588]) ).
fof(f654,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(superposition,[],[f426,f39]) ).
fof(f685,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[],[f654,f7]) ).
fof(f692,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(forward_demodulation,[],[f685,f427]) ).
fof(f699,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(superposition,[],[f596,f210]) ).
fof(f732,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f382,f699]) ).
fof(f741,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f732,f472]) ).
fof(f766,plain,
! [X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f741,f1]) ).
fof(f768,plain,
! [X2,X0,X1] : join(X1,complement(join(X2,X0))) = join(X1,complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f741,f64]) ).
fof(f794,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(join(X0,X1),X2)))),
inference(superposition,[],[f2,f741]) ).
fof(f795,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f794,f2]) ).
fof(f821,plain,
! [X2,X0,X1] : join(join(X0,X1),complement(X2)) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f795,f768]) ).
fof(f838,plain,
! [X2,X0,X1] : join(X0,join(X1,complement(X2))) = join(X0,join(X1,complement(join(X2,X0)))),
inference(forward_demodulation,[],[f821,f2]) ).
fof(f1005,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(join(complement(X1),X0)),complement(complement(join(X0,X1)))))),
inference(superposition,[],[f235,f225]) ).
fof(f1012,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(complement(complement(join(X0,X1))),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1005,f1]) ).
fof(f1048,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X0,X1),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1012,f210]) ).
fof(f1073,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1048,f2]) ).
fof(f1094,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,complement(complement(X1)))))),
inference(forward_demodulation,[],[f1073,f838]) ).
fof(f1113,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X0,join(X1,X1)))),
inference(forward_demodulation,[],[f1094,f210]) ).
fof(f1126,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X0,X1))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1113,f432]) ).
fof(f1137,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f1126,f210]) ).
fof(f1147,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1137,f210]) ).
fof(f1159,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X0,X1))),
inference(superposition,[],[f1147,f1]) ).
fof(f1693,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f585,f210]) ).
fof(f2161,plain,
top = converse(top),
inference(superposition,[],[f598,f392]) ).
fof(f2172,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f741,f392]) ).
fof(f2177,plain,
! [X0] : join(X0,complement(converse(top))) = X0,
inference(superposition,[],[f1693,f392]) ).
fof(f2187,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f2172,f2177]) ).
fof(f2276,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f67,f2187]) ).
fof(f2278,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f332,f2187]) ).
fof(f2282,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(complement(X0)),complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2278,f1]) ).
fof(f2284,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2276,f10]) ).
fof(f2299,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2282,f210]) ).
fof(f2307,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f2299,f741]) ).
fof(f2310,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f2307,f210]) ).
fof(f2312,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2310,f2284]) ).
fof(f2402,plain,
zero = converse(complement(converse(top))),
inference(superposition,[],[f2312,f219]) ).
fof(f2439,plain,
zero = converse(complement(top)),
inference(forward_demodulation,[],[f2402,f2161]) ).
fof(f2455,plain,
zero = converse(zero),
inference(forward_demodulation,[],[f2439,f36]) ).
fof(f2797,plain,
! [X0] : join(X0,complement(X0)) = join(X0,complement(composition(converse(sk1),composition(sk1,X0)))),
inference(superposition,[],[f741,f692]) ).
fof(f2810,plain,
! [X0] : top = join(X0,complement(composition(converse(sk1),composition(sk1,X0)))),
inference(forward_demodulation,[],[f2797,f15]) ).
fof(f2863,plain,
! [X0,X1] : complement(join(zero,complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(join(zero,complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1))))),
inference(superposition,[],[f38,f36]) ).
fof(f2923,plain,
! [X0,X1] : complement(complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1))) = join(complement(join(complement(composition(X0,X1)),zero)),complement(complement(composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)))),
inference(forward_demodulation,[],[f2863,f455]) ).
fof(f2946,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = join(complement(join(complement(composition(X0,X1)),zero)),composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)),
inference(forward_demodulation,[],[f2923,f210]) ).
fof(f2963,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = join(complement(join(zero,complement(composition(X0,X1)))),composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)),
inference(forward_demodulation,[],[f2946,f1]) ).
fof(f2976,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = join(complement(complement(composition(X0,X1))),composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)),
inference(forward_demodulation,[],[f2963,f455]) ).
fof(f2987,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = join(composition(X0,X1),composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1)),
inference(forward_demodulation,[],[f2976,f210]) ).
fof(f2997,plain,
! [X0,X1] : composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1) = composition(join(X0,complement(join(complement(X0),complement(composition(top,converse(X1)))))),X1),
inference(forward_demodulation,[],[f2987,f9]) ).
fof(f3002,plain,
! [X0,X1] : composition(X0,X1) = composition(complement(join(complement(X0),complement(composition(top,converse(X1))))),X1),
inference(forward_demodulation,[],[f2997,f1693]) ).
fof(f3220,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f77,f12]) ).
fof(f3246,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f3220,f11]) ).
fof(f3262,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f3246,f11]) ).
fof(f3269,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f3262,f12]) ).
fof(f3290,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f3269]) ).
fof(f3309,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f3290,f10]) ).
fof(f3340,plain,
! [X0,X1] : join(X0,composition(X0,X1)) = composition(X0,join(one,X1)),
inference(superposition,[],[f3309,f8]) ).
fof(f3362,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f3309]) ).
fof(f3375,plain,
! [X2,X0,X1] : join(complement(composition(X0,X2)),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1147,f3309]) ).
fof(f3422,plain,
! [X0] : composition(X0,top) = join(X0,composition(X0,top)),
inference(superposition,[],[f3340,f551]) ).
fof(f3650,plain,
! [X0,X1] : join(complement(composition(X0,complement(X1))),composition(X0,X1)) = join(composition(X0,X1),complement(composition(X0,top))),
inference(superposition,[],[f3375,f15]) ).
fof(f3744,plain,
! [X0,X1] : join(composition(X0,X1),complement(composition(X0,top))) = join(composition(X0,X1),complement(composition(X0,complement(X1)))),
inference(forward_demodulation,[],[f3650,f1]) ).
fof(f4708,plain,
top = composition(top,top),
inference(superposition,[],[f598,f3422]) ).
fof(f4869,plain,
! [X0] : composition(X0,zero) = composition(complement(join(complement(X0),complement(composition(top,zero)))),zero),
inference(superposition,[],[f3002,f2455]) ).
fof(f5185,plain,
zero = composition(top,complement(composition(top,top))),
inference(superposition,[],[f461,f2161]) ).
fof(f5245,plain,
zero = composition(top,complement(top)),
inference(forward_demodulation,[],[f5185,f4708]) ).
fof(f5269,plain,
zero = composition(top,zero),
inference(forward_demodulation,[],[f5245,f36]) ).
fof(f5287,plain,
! [X0] : composition(X0,zero) = composition(complement(join(complement(X0),complement(zero))),zero),
inference(backward_demodulation,[],[f4869,f5269]) ).
fof(f5296,plain,
! [X0] : composition(X0,zero) = composition(complement(join(complement(X0),top)),zero),
inference(forward_demodulation,[],[f5287,f219]) ).
fof(f5301,plain,
! [X0] : composition(X0,zero) = composition(complement(join(top,complement(X0))),zero),
inference(forward_demodulation,[],[f5296,f1]) ).
fof(f5303,plain,
! [X0] : composition(X0,zero) = composition(complement(top),zero),
inference(forward_demodulation,[],[f5301,f598]) ).
fof(f5304,plain,
! [X0] : composition(X0,zero) = composition(zero,zero),
inference(forward_demodulation,[],[f5303,f36]) ).
fof(f5315,plain,
zero = composition(converse(one),complement(top)),
inference(superposition,[],[f460,f427]) ).
fof(f5364,plain,
zero = composition(converse(one),zero),
inference(forward_demodulation,[],[f5315,f36]) ).
fof(f5389,plain,
zero = composition(zero,zero),
inference(forward_demodulation,[],[f5364,f5304]) ).
fof(f5411,plain,
! [X0] : zero = composition(X0,zero),
inference(backward_demodulation,[],[f5304,f5389]) ).
fof(f6407,plain,
! [X0] : composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(X0)),converse(X0))))),complement(top)) = join(complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(X0)),converse(X0))))),complement(top))),
inference(superposition,[],[f29,f2810]) ).
fof(f6441,plain,
! [X0] : composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(X0)),converse(X0))))),zero) = join(complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),composition(complement(join(complement(sk1),complement(composition(composition(sk1,complement(X0)),converse(X0))))),zero)),
inference(forward_demodulation,[],[f6407,f36]) ).
fof(f6498,plain,
! [X0] : zero = join(complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),zero),
inference(forward_demodulation,[],[f6441,f5411]) ).
fof(f6540,plain,
! [X0] : zero = join(zero,complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f6498,f1]) ).
fof(f6575,plain,
! [X0] : zero = complement(join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f6540,f455]) ).
fof(f6719,plain,
! [X0] : join(complement(complement(composition(sk1,X0))),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),zero),
inference(superposition,[],[f1159,f6575]) ).
fof(f6768,plain,
! [X0] : join(complement(complement(composition(sk1,X0))),complement(composition(sk1,complement(X0)))) = join(zero,complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f6719,f1]) ).
fof(f6812,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(composition(sk1,X0))),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f6768,f455]) ).
fof(f6850,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f6812,f210]) ).
fof(f6879,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f6850,f3744]) ).
fof(f6923,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,top)),composition(sk1,X0)),
inference(superposition,[],[f1,f6879]) ).
fof(f6942,plain,
! [X0,X1] : join(composition(sk1,join(X1,X0)),complement(composition(sk1,top))) = join(composition(sk1,X1),complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f3362,f6879]) ).
fof(f6943,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,top)),composition(sk1,join(X1,X0))),
inference(forward_demodulation,[],[f6942,f1]) ).
fof(f6965,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = complement(composition(sk1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f6943,f6923]) ).
fof(f7027,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = join(composition(sk1,X1),complement(composition(sk1,X0))),
inference(superposition,[],[f6965,f210]) ).
fof(f7044,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(complement(composition(sk1,complement(X1))),composition(sk1,X0)),
inference(superposition,[],[f1,f6965]) ).
fof(f7054,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = join(complement(composition(sk1,complement(X1))),complement(composition(sk1,complement(join(X0,X1))))),
inference(superposition,[],[f472,f6965]) ).
fof(f7060,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X1)))) = join(complement(composition(sk1,complement(X1))),complement(complement(composition(sk1,complement(join(X0,X1)))))),
inference(superposition,[],[f1159,f6965]) ).
fof(f7065,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X1)))) = join(complement(composition(sk1,complement(X1))),composition(sk1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f7060,f210]) ).
fof(f7095,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(complement(join(X0,X1)),X1)))),
inference(forward_demodulation,[],[f7065,f7044]) ).
fof(f7118,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X1)))) = complement(composition(sk1,complement(join(X1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f7095,f1]) ).
fof(f7136,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = join(complement(composition(sk1,X0)),complement(composition(sk1,complement(X1)))),
inference(forward_demodulation,[],[f7118,f766]) ).
fof(f7151,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(join(X0,X1),complement(complement(X1)))))),
inference(backward_demodulation,[],[f7054,f7136]) ).
fof(f7160,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(complement(complement(X1)),join(X0,X1))))),
inference(forward_demodulation,[],[f7151,f1]) ).
fof(f7170,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(X1,join(complement(complement(X1)),X0))))),
inference(forward_demodulation,[],[f7160,f64]) ).
fof(f7179,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(X1,join(X1,X0))))),
inference(forward_demodulation,[],[f7170,f210]) ).
fof(f7181,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = complement(composition(sk1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f7179,f470]) ).
fof(f7210,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,complement(X1))))) = join(complement(composition(sk1,X1)),composition(sk1,X0)),
inference(superposition,[],[f1,f7027]) ).
fof(f7226,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = join(complement(composition(sk1,X1)),complement(complement(composition(sk1,complement(join(X0,complement(X1))))))),
inference(superposition,[],[f1159,f7027]) ).
fof(f7233,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = join(complement(composition(sk1,X1)),composition(sk1,complement(join(X0,complement(X1))))),
inference(forward_demodulation,[],[f7226,f210]) ).
fof(f7272,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(complement(join(X0,complement(X1))),complement(X1))))),
inference(forward_demodulation,[],[f7233,f7210]) ).
fof(f7304,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(complement(X1),complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f7272,f7181]) ).
fof(f7325,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = complement(composition(sk1,complement(join(complement(X1),complement(X0))))),
inference(forward_demodulation,[],[f7304,f766]) ).
fof(f7342,plain,
~ sP0(tuple(join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2))))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2))))))))),
inference(backward_demodulation,[],[f33,f7325]) ).
fof(f7343,plain,
sP0(tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),complement(complement(composition(sk1,complement(join(complement(sk3),complement(sk2)))))))),
inference(backward_demodulation,[],[f32,f7325]) ).
fof(f7359,plain,
sP0(tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk3),complement(sk2)))))),
inference(forward_demodulation,[],[f7343,f210]) ).
fof(f7360,plain,
~ sP0(tuple(join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk3),complement(sk2))))),join(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk3),complement(sk2))))))),
inference(forward_demodulation,[],[f7342,f210]) ).
fof(f7368,plain,
sP0(tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3)))))),
inference(forward_demodulation,[],[f7359,f1]) ).
fof(f7369,plain,
~ sP0(tuple(composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk3),complement(sk2))))),composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk3),complement(sk2))))))),
inference(forward_demodulation,[],[f7360,f3309]) ).
fof(f7376,plain,
~ sP0(tuple(composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk2),complement(sk3))))),composition(sk1,join(complement(join(complement(sk2),complement(sk3))),complement(join(complement(sk2),complement(sk3))))))),
inference(forward_demodulation,[],[f7369,f1]) ).
fof(f7379,plain,
~ sP0(tuple(composition(sk1,complement(join(complement(sk2),complement(sk3)))),composition(sk1,complement(join(complement(sk2),complement(sk3)))))),
inference(forward_demodulation,[],[f7376,f432]) ).
fof(f7382,plain,
$false,
inference(forward_subsumption_resolution,[],[f7379,f7368]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL040-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:51:05 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 16.50/3.19 % (3045068)Detected a unit-equality problem, will run specialized UEQ schedule.
% 16.50/3.19 % (3045077)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=4136307499:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 16.50/3.19 % (3045073)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=3989283216:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 16.50/3.19 % (3045074)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3112636021:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 16.50/3.19 % (3045075)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2365243602:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 16.50/3.19 % (3045076)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=1071923455:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 16.50/3.19 % (3045079)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1540317279:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 16.50/3.19 % (3045078)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=4059511228:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 16.50/3.19 % (3045077)Instruction limit reached!
% 16.50/3.19 % (3045077)------------------------------
% 16.50/3.19 % (3045077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045077)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045077)Termination reason: Instruction limit
% 16.50/3.19 % (3045077)Termination phase: Saturation
% 16.50/3.19 % (3045077)Time elapsed: 0.058 s
% 16.50/3.19 % (3045077)Peak memory usage: 89 MB
% 16.50/3.19 % (3045077)Instructions burned: 182 (million)
% 16.50/3.19 % (3045076)Instruction limit reached!
% 16.50/3.19 % (3045076)------------------------------
% 16.50/3.19 % (3045076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045076)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045076)Termination reason: Instruction limit
% 16.50/3.19 % (3045076)Termination phase: Saturation
% 16.50/3.19 % (3045076)Time elapsed: 0.087 s
% 16.50/3.19 % (3045076)Peak memory usage: 89 MB
% 16.50/3.19 % (3045076)Instructions burned: 137 (million)
% 16.50/3.19 % (3045087)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=2767663687:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 16.50/3.19 % (3045078)Instruction limit reached!
% 16.50/3.19 % (3045078)------------------------------
% 16.50/3.19 % (3045078)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045078)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045078)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045078)Termination reason: Instruction limit
% 16.50/3.19 % (3045078)Termination phase: Saturation
% 16.50/3.19 % (3045078)Time elapsed: 0.167 s
% 16.50/3.19 % (3045078)Peak memory usage: 90 MB
% 16.50/3.19 % (3045078)Instructions burned: 258 (million)
% 16.50/3.19 % (3045088)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1684371371:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 16.50/3.19 % (3045090)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=34838478:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 16.50/3.19 % (3045090)Instruction limit reached!
% 16.50/3.19 % (3045090)------------------------------
% 16.50/3.19 % (3045090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045090)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045090)Termination reason: Instruction limit
% 16.50/3.19 % (3045090)Termination phase: Saturation
% 16.50/3.19 % (3045090)Time elapsed: 0.123 s
% 16.50/3.19 % (3045090)Peak memory usage: 92 MB
% 16.50/3.19 % (3045090)Instructions burned: 216 (million)
% 16.50/3.19 % (3045093)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=505647387:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2993 on theBenchmark for (2993ds/317Mi)
% 16.50/3.19 % (3045079)Instruction limit reached!
% 16.50/3.19 % (3045079)------------------------------
% 16.50/3.19 % (3045079)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045079)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045079)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045079)Termination reason: Instruction limit
% 16.50/3.19 % (3045079)Termination phase: Saturation
% 16.50/3.19 % (3045079)Time elapsed: 0.654 s
% 16.50/3.19 % (3045079)Peak memory usage: 101 MB
% 16.50/3.19 % (3045079)Instructions burned: 1187 (million)
% 16.50/3.19 % (3045093)Instruction limit reached!
% 16.50/3.19 % (3045093)------------------------------
% 16.50/3.19 % (3045093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045093)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045093)Termination reason: Instruction limit
% 16.50/3.19 % (3045093)Termination phase: Saturation
% 16.50/3.19 % (3045093)Time elapsed: 0.193 s
% 16.50/3.19 % (3045093)Peak memory usage: 93 MB
% 16.50/3.19 % (3045093)Instructions burned: 318 (million)
% 16.50/3.19 % (3045095)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=2042305291:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 16.50/3.19 % (3045087)Instruction limit reached!
% 16.50/3.19 % (3045087)------------------------------
% 16.50/3.19 % (3045087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.50/3.19 % (3045087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.50/3.19 % (3045087)CaDiCaL version: 2.1.3
% 16.50/3.19 % (3045087)Termination reason: Instruction limit
% 16.50/3.19 % (3045087)Termination phase: Saturation
% 16.50/3.19 % (3045087)Time elapsed: 0.740 s
% 16.50/3.19 % (3045087)Peak memory usage: 141 MB
% 16.50/3.19 % (3045087)Instructions burned: 2053 (million)
% 16.50/3.19 % (3045096)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=3781359815:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2990 on theBenchmark for (2990ds/2836Mi)
% 16.50/3.19 % (3045098)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1426782270:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2989 on theBenchmark for (2989ds/14534Mi)
% 16.50/3.19 % (3045098)First to succeed.
% 16.50/3.19 % (3045098)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3045068"
% 16.50/3.19 % (3045098)Refutation found. Thanks to Tanya!
% 16.50/3.19 % SZS status Unsatisfiable for theBenchmark
% 16.50/3.19 % SZS output start Proof for theBenchmark
% See solution above
% 17.07/3.39 % (3045098)------------------------------
% 17.07/3.39 % (3045098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.07/3.39 % (3045098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.07/3.39 % (3045098)CaDiCaL version: 2.1.3
% 17.07/3.39 % (3045098)Termination reason: Refutation
% 17.07/3.39 % (3045098)Time elapsed: 0.892 s
% 17.07/3.39 % (3045098)Peak memory usage: 137 MB
% 17.07/3.39 % (3045098)Instructions burned: 1787 (million)
% 17.07/3.39 % (3045098)------------------------------
% 17.07/3.39 % (3045098)------------------------------
% 17.07/3.39 % (3045068)Success in time 2.332 s
% 17.07/3.39 % Vampire exiting
%------------------------------------------------------------------------------