%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL040-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : 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 12:34:03 PM UTC 2026
% Result : Unsatisfiable 47.65s 7.36s
% Output : Refutation 48.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 74
% Number of leaves : 16
% Syntax : Number of formulae : 264 ( 264 unt; 1 def)
% Number of atoms : 264 ( 260 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 448 ( 448 !; 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,negated_conjecture,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
one = join(composition(converse(sk1),sk1),one),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
composition(sk1,meet(sk2,sk3)) != meet(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
composition(sk1,complement(join(complement(sk2),complement(sk3)))) != complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3)))),
inference(definition_unfolding,[],[f19,f6,f6]) ).
fof(f21,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f22,definition,
~ sP0(composition(sk1,complement(join(complement(sk2),complement(sk3))))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f23,plain,
sP0(complement(join(complement(composition(sk1,sk2)),complement(composition(sk1,sk3))))),
inference(inequality_splitting,[],[f20,f22]) ).
fof(f24,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f4,f1]) ).
fof(f25,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(forward_demodulation,[],[f14,f1]) ).
fof(f26,plain,
zero = complement(top),
inference(forward_demodulation,[],[f21,f15]) ).
fof(f27,plain,
one = join(one,composition(converse(sk1),sk1)),
inference(forward_demodulation,[],[f18,f1]) ).
fof(f41,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(complement(join(complement(X0),X1)),join(complement(X0),complement(X1)))),complement(X0)),
inference(superposition,[],[f24,f24]) ).
fof(f43,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f24,f1]) ).
fof(f44,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,[],[f41,f1]) ).
fof(f46,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,[],[f44,f1]) ).
fof(f48,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,[],[f46,f2]) ).
fof(f54,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f24]) ).
fof(f60,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f72,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f54,f24]) ).
fof(f73,plain,
! [X2,X0,X1] : join(X0,join(complement(join(complement(X0),complement(complement(X2)))),X1)) = join(complement(join(complement(X0),X2)),join(X0,X1)),
inference(superposition,[],[f54,f54]) ).
fof(f79,plain,
! [X2,X0,X1] : join(X0,join(complement(join(complement(X0),complement(complement(X2)))),X1)) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(forward_demodulation,[],[f73,f60]) ).
fof(f80,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(complement(X1))))) = join(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f72,f1]) ).
fof(f92,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(superposition,[],[f11,f10]) ).
fof(f108,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f111,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(f116,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(X0))),join(complement(top),X1)),
inference(superposition,[],[f54,f15]) ).
fof(f125,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f116,f60]) ).
fof(f127,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(join(complement(X0),complement(X0))))),
inference(forward_demodulation,[],[f125,f26]) ).
fof(f128,plain,
! [X0] : zero = join(zero,composition(converse(X0),complement(composition(X0,top)))),
inference(superposition,[],[f25,f26]) ).
fof(f129,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f25,f10]) ).
fof(f142,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f108,f8]) ).
fof(f147,plain,
! [X2,X0,X1] : converse(composition(X2,composition(converse(X1),X0))) = composition(composition(converse(X0),X1),converse(X2)),
inference(superposition,[],[f12,f108]) ).
fof(f150,plain,
! [X2,X0,X1] : converse(composition(X2,composition(converse(X1),X0))) = composition(converse(X0),composition(X1,converse(X2))),
inference(forward_demodulation,[],[f147,f7]) ).
fof(f152,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f142,f10]) ).
fof(f167,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,[],[f48,f54]) ).
fof(f178,plain,
! [X0,X1] : join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),complement(join(X0,complement(join(join(complement(X0),complement(X1)),complement(join(complement(X0),X1))))))),
inference(forward_demodulation,[],[f167,f1]) ).
fof(f185,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(join(X0,complement(join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))))))),
inference(forward_demodulation,[],[f178,f2]) ).
fof(f198,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = converse(top),
inference(superposition,[],[f92,f15]) ).
fof(f220,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f111,f12]) ).
fof(f228,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f220,f11]) ).
fof(f235,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f228,f11]) ).
fof(f239,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f235,f12]) ).
fof(f252,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f239]) ).
fof(f267,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f252,f10]) ).
fof(f300,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X1,X2)),X3) = join(composition(X0,X1),join(composition(X0,X2),X3)),
inference(superposition,[],[f2,f267]) ).
fof(f360,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f25,f152]) ).
fof(f364,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(converse(one),X1),X0),
inference(superposition,[],[f9,f152]) ).
fof(f370,plain,
one = converse(one),
inference(superposition,[],[f8,f152]) ).
fof(f374,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f152,f370]) ).
fof(f380,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(one,X1),X0),
inference(forward_demodulation,[],[f364,f370]) ).
fof(f384,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f360,f374]) ).
fof(f391,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X1,complement(complement(X0)))),
inference(backward_demodulation,[],[f127,f384]) ).
fof(f419,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),X0)),join(complement(complement(X0)),X1)),
inference(superposition,[],[f54,f384]) ).
fof(f424,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = join(X0,complement(join(complement(X0),complement(X1)))),
inference(superposition,[],[f54,f384]) ).
fof(f428,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),complement(X1)))) = X0,
inference(forward_demodulation,[],[f424,f24]) ).
fof(f433,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),X0)))),
inference(forward_demodulation,[],[f419,f60]) ).
fof(f434,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(backward_demodulation,[],[f80,f428]) ).
fof(f438,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(X0,complement(X0))))),
inference(forward_demodulation,[],[f433,f1]) ).
fof(f439,plain,
! [X0,X1] : join(complement(X0),join(complement(X1),complement(join(complement(X0),X1)))) = join(complement(join(complement(X0),X1)),complement(X0)),
inference(backward_demodulation,[],[f185,f434]) ).
fof(f443,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(top))),
inference(forward_demodulation,[],[f438,f15]) ).
fof(f444,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,[],[f439,f1]) ).
fof(f446,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f443,f60]) ).
fof(f457,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[],[f446,f26]) ).
fof(f460,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(join(complement(X0),X2),complement(join(X0,X1))),
inference(superposition,[],[f434,f54]) ).
fof(f464,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f434,f1]) ).
fof(f465,plain,
! [X0] : join(X0,complement(top)) = X0,
inference(superposition,[],[f434,f15]) ).
fof(f466,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(superposition,[],[f434,f434]) ).
fof(f469,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(complement(join(complement(X0),X1)),X2)),
inference(superposition,[],[f2,f434]) ).
fof(f483,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,complement(join(complement(X0),X2)))),
inference(backward_demodulation,[],[f79,f469]) ).
fof(f486,plain,
! [X0] : join(X0,zero) = X0,
inference(forward_demodulation,[],[f465,f26]) ).
fof(f487,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f460,f2]) ).
fof(f495,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),complement(complement(X0)))),join(complement(complement(X0)),X1)),
inference(superposition,[],[f54,f466]) ).
fof(f507,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),join(X1,complement(join(complement(X0),complement(complement(X0)))))),
inference(forward_demodulation,[],[f495,f60]) ).
fof(f510,plain,
! [X0,X1] : join(X0,X1) = join(complement(complement(X0)),X1),
inference(forward_demodulation,[],[f507,f487]) ).
fof(f515,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(backward_demodulation,[],[f457,f510]) ).
fof(f527,plain,
! [X0,X1] : join(X0,X1) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f391,f515]) ).
fof(f531,plain,
! [X0] : join(X0,X0) = X0,
inference(backward_demodulation,[],[f466,f527]) ).
fof(f601,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(superposition,[],[f527,f531]) ).
fof(f622,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(forward_demodulation,[],[f601,f527]) ).
fof(f626,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f622,f531]) ).
fof(f633,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f24,f626]) ).
fof(f638,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f434,f626]) ).
fof(f672,plain,
! [X0] : top = join(top,complement(join(X0,zero))),
inference(superposition,[],[f464,f26]) ).
fof(f673,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(superposition,[],[f464,f626]) ).
fof(f694,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f444,f673]) ).
fof(f696,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[],[f672,f486]) ).
fof(f717,plain,
! [X0] : top = join(top,X0),
inference(superposition,[],[f696,f626]) ).
fof(f741,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(superposition,[],[f380,f27]) ).
fof(f774,plain,
! [X0] : composition(one,X0) = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[],[f741,f7]) ).
fof(f782,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,X0))) = X0,
inference(forward_demodulation,[],[f774,f374]) ).
fof(f807,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),complement(complement(X0))),
inference(superposition,[],[f464,f638]) ).
fof(f809,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f807,f2]) ).
fof(f813,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f809,f626]) ).
fof(f871,plain,
! [X0] : join(complement(top),complement(join(complement(complement(complement(X0))),complement(X0)))) = X0,
inference(superposition,[],[f43,f15]) ).
fof(f913,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f871,f1]) ).
fof(f927,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(X0)))) = X0,
inference(forward_demodulation,[],[f913,f626]) ).
fof(f934,plain,
! [X0] : join(complement(top),complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f927,f531]) ).
fof(f938,plain,
! [X0] : join(complement(top),X0) = X0,
inference(forward_demodulation,[],[f934,f626]) ).
fof(f942,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[],[f938,f26]) ).
fof(f947,plain,
! [X0] : zero = composition(converse(X0),complement(composition(X0,top))),
inference(backward_demodulation,[],[f128,f942]) ).
fof(f1005,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(composition(X1,complement(composition(converse(X1),X0))),X2)),
inference(superposition,[],[f2,f129]) ).
fof(f1015,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f694,f626]) ).
fof(f1018,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),complement(complement(join(X0,X1)))),
inference(superposition,[],[f694,f638]) ).
fof(f1046,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f1018,f626]) ).
fof(f1058,plain,
! [X0,X1] : join(complement(X0),complement(complement(X0))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f1046,f60]) ).
fof(f1065,plain,
! [X0,X1] : top = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f1058,f15]) ).
fof(f1330,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f633,f1]) ).
fof(f1441,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,[],[f1330,f1330]) ).
fof(f1456,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f1330,f1]) ).
fof(f1492,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(complement(join(X0,complement(X1))),join(X1,X0)))),
inference(forward_demodulation,[],[f1441,f626]) ).
fof(f1520,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,[],[f1492,f1]) ).
fof(f1538,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,[],[f1520,f2]) ).
fof(f1548,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(complement(X1)))))),
inference(forward_demodulation,[],[f1538,f1015]) ).
fof(f1555,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,join(X0,X1)))),
inference(forward_demodulation,[],[f1548,f626]) ).
fof(f1561,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1555,f813]) ).
fof(f1566,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = complement(complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1561,f626]) ).
fof(f1569,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f1566,f626]) ).
fof(f1584,plain,
! [X2,X0,X1] : join(composition(X0,X2),complement(composition(X0,X1))) = join(composition(X0,X2),complement(composition(X0,join(X1,X2)))),
inference(superposition,[],[f1569,f267]) ).
fof(f1711,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(join(join(X1,X0),complement(join(complement(X1),X0)))),complement(complement(X0))),
inference(superposition,[],[f1456,f1456]) ).
fof(f1754,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(join(X1,X0),complement(join(complement(X1),X0))))),
inference(forward_demodulation,[],[f1711,f1]) ).
fof(f1793,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(X0)),complement(join(X1,join(X0,complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f1754,f2]) ).
fof(f1827,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X1,X0))) = complement(complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f1793,f483]) ).
fof(f1852,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(complement(X0)),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1827,f626]) ).
fof(f1867,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f1852,f626]) ).
fof(f1923,plain,
! [X2,X0,X1] : join(composition(X0,X2),complement(composition(X0,join(X1,X2)))) = join(complement(composition(X0,X1)),composition(X0,X2)),
inference(superposition,[],[f1867,f267]) ).
fof(f2396,plain,
! [X2,X3,X0,X1] : join(composition(X0,join(X3,X2)),composition(X1,X2)) = join(composition(X0,X3),composition(join(X0,X1),X2)),
inference(superposition,[],[f300,f9]) ).
fof(f2401,plain,
! [X2,X3,X0,X1] : join(composition(X1,join(X3,X2)),X0) = join(composition(X1,X3),join(X0,composition(X1,X2))),
inference(superposition,[],[f300,f1]) ).
fof(f2524,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = join(X0,complement(converse(top))),
inference(superposition,[],[f1015,f198]) ).
fof(f2538,plain,
top = converse(top),
inference(superposition,[],[f717,f198]) ).
fof(f2555,plain,
! [X0] : join(X0,complement(top)) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2524,f2538]) ).
fof(f2579,plain,
! [X0] : join(X0,zero) = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[],[f2555,f26]) ).
fof(f2594,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[],[f2579,f486]) ).
fof(f2681,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f12,f2538]) ).
fof(f2684,plain,
! [X0] : composition(converse(X0),top) = converse(composition(top,X0)),
inference(superposition,[],[f108,f2538]) ).
fof(f2721,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(complement(join(X0,complement(converse(complement(converse(complement(X0))))))),complement(complement(X0))),
inference(superposition,[],[f1456,f2594]) ).
fof(f2726,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(superposition,[],[f92,f2594]) ).
fof(f2729,plain,
! [X0] : join(X0,converse(complement(converse(complement(X0))))) = X0,
inference(forward_demodulation,[],[f2726,f10]) ).
fof(f2734,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,[],[f2721,f1]) ).
fof(f2748,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(join(X0,complement(converse(complement(converse(complement(X0)))))))),
inference(forward_demodulation,[],[f2734,f626]) ).
fof(f2753,plain,
! [X0] : complement(complement(converse(complement(converse(complement(X0)))))) = join(X0,complement(complement(converse(complement(converse(complement(X0))))))),
inference(forward_demodulation,[],[f2748,f1015]) ).
fof(f2755,plain,
! [X0] : converse(complement(converse(complement(X0)))) = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[],[f2753,f626]) ).
fof(f2756,plain,
! [X0] : converse(complement(converse(complement(X0)))) = X0,
inference(forward_demodulation,[],[f2755,f2729]) ).
fof(f3479,plain,
! [X0] : converse(X0) = complement(converse(complement(X0))),
inference(superposition,[],[f10,f2756]) ).
fof(f3628,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(X0)))) = join(complement(join(X0,composition(converse(sk1),composition(sk1,complement(X0))))),complement(complement(X0))),
inference(superposition,[],[f1456,f782]) ).
fof(f3641,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(X0)))) = join(complement(complement(X0)),complement(join(X0,composition(converse(sk1),composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f3628,f1]) ).
fof(f3656,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(X0)))) = join(X0,complement(join(X0,composition(converse(sk1),composition(sk1,complement(X0)))))),
inference(forward_demodulation,[],[f3641,f626]) ).
fof(f3661,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(X0)))) = join(X0,complement(composition(converse(sk1),composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f3656,f1015]) ).
fof(f4166,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(X0,join(X1,complement(X0)))),complement(join(complement(X0),X1))),
inference(superposition,[],[f1456,f813]) ).
fof(f4182,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(join(X0,join(X1,complement(X0))))),
inference(forward_demodulation,[],[f4166,f1]) ).
fof(f4235,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(join(complement(X0),X1)),complement(top)),
inference(forward_demodulation,[],[f4182,f1065]) ).
fof(f4277,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(complement(top),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4235,f1]) ).
fof(f4303,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = join(zero,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f4277,f26]) ).
fof(f4315,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f4303,f942]) ).
fof(f4426,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(superposition,[],[f626,f3479]) ).
fof(f4923,plain,
! [X0,X1] : composition(converse(X0),join(X1,complement(composition(X0,top)))) = join(composition(converse(X0),X1),zero),
inference(superposition,[],[f267,f947]) ).
fof(f4938,plain,
! [X0,X1] : join(zero,composition(converse(X0),X1)) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f4923,f1]) ).
fof(f4958,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(X0),join(X1,complement(composition(X0,top)))),
inference(forward_demodulation,[],[f4938,f942]) ).
fof(f5533,plain,
! [X0,X1] : composition(X0,X1) = composition(X0,join(X1,complement(composition(converse(X0),top)))),
inference(superposition,[],[f4958,f10]) ).
fof(f5540,plain,
! [X0] : composition(converse(X0),top) = composition(converse(X0),composition(X0,top)),
inference(superposition,[],[f4958,f15]) ).
fof(f5625,plain,
! [X0] : composition(converse(composition(X0,top)),X0) = converse(composition(converse(X0),top)),
inference(superposition,[],[f108,f5540]) ).
fof(f5658,plain,
! [X0] : composition(converse(top),X0) = composition(converse(composition(X0,top)),X0),
inference(forward_demodulation,[],[f5625,f108]) ).
fof(f5675,plain,
! [X0] : composition(converse(top),X0) = composition(composition(top,converse(X0)),X0),
inference(forward_demodulation,[],[f5658,f2681]) ).
fof(f5683,plain,
! [X0] : composition(converse(top),X0) = composition(top,composition(converse(X0),X0)),
inference(forward_demodulation,[],[f5675,f7]) ).
fof(f5689,plain,
! [X0] : composition(top,X0) = composition(top,composition(converse(X0),X0)),
inference(forward_demodulation,[],[f5683,f2538]) ).
fof(f6236,plain,
! [X0,X1] : join(composition(X0,one),composition(join(X0,X1),composition(converse(sk1),sk1))) = join(composition(X0,one),composition(X1,composition(converse(sk1),sk1))),
inference(superposition,[],[f2396,f27]) ).
fof(f6476,plain,
! [X0,X1] : join(X0,composition(join(X0,X1),composition(converse(sk1),sk1))) = join(X0,composition(X1,composition(converse(sk1),sk1))),
inference(forward_demodulation,[],[f6236,f8]) ).
fof(f6866,plain,
! [X2,X0,X1] : join(complement(X1),composition(X0,X2)) = join(complement(X1),composition(X0,join(complement(composition(converse(X0),X1)),X2))),
inference(superposition,[],[f1005,f267]) ).
fof(f7429,plain,
! [X0] : join(X0,composition(complement(X0),composition(converse(sk1),sk1))) = join(X0,composition(top,composition(converse(sk1),sk1))),
inference(superposition,[],[f6476,f15]) ).
fof(f7593,plain,
! [X0] : join(X0,composition(complement(X0),composition(converse(sk1),sk1))) = join(X0,composition(top,sk1)),
inference(forward_demodulation,[],[f7429,f5689]) ).
fof(f8997,plain,
! [X2,X0,X1] : composition(X2,join(X0,X1)) = composition(X2,join(X0,join(X1,complement(composition(converse(X2),top))))),
inference(superposition,[],[f5533,f2]) ).
fof(f9778,plain,
! [X0] : converse(join(converse(X0),composition(top,sk1))) = join(X0,converse(composition(complement(converse(X0)),composition(converse(sk1),sk1)))),
inference(superposition,[],[f92,f7593]) ).
fof(f9784,plain,
! [X0] : converse(join(converse(X0),composition(top,sk1))) = join(X0,composition(converse(sk1),composition(sk1,converse(complement(converse(X0)))))),
inference(forward_demodulation,[],[f9778,f150]) ).
fof(f9834,plain,
! [X0] : converse(join(converse(X0),composition(top,sk1))) = join(X0,composition(converse(sk1),composition(sk1,complement(converse(converse(X0)))))),
inference(forward_demodulation,[],[f9784,f4426]) ).
fof(f9873,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,complement(X0)))) = converse(join(converse(X0),composition(top,sk1))),
inference(forward_demodulation,[],[f9834,f10]) ).
fof(f9895,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,complement(X0)))) = join(X0,converse(composition(top,sk1))),
inference(forward_demodulation,[],[f9873,f92]) ).
fof(f9911,plain,
! [X0] : join(X0,composition(converse(sk1),composition(sk1,complement(X0)))) = join(X0,composition(converse(sk1),top)),
inference(forward_demodulation,[],[f9895,f2684]) ).
fof(f9968,plain,
! [X0] : join(X0,complement(composition(converse(sk1),composition(sk1,complement(X0))))) = join(X0,complement(join(X0,composition(converse(sk1),top)))),
inference(superposition,[],[f1015,f9911]) ).
fof(f9986,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(complement(X0))))) = join(complement(join(X0,composition(converse(sk1),composition(sk1,complement(complement(X0)))))),complement(join(complement(X0),composition(converse(sk1),top)))),
inference(superposition,[],[f1456,f9911]) ).
fof(f10014,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(complement(X0))))) = join(complement(join(complement(X0),composition(converse(sk1),top))),complement(join(X0,composition(converse(sk1),composition(sk1,complement(complement(X0))))))),
inference(forward_demodulation,[],[f9986,f1]) ).
fof(f10030,plain,
! [X0] : join(X0,complement(composition(converse(sk1),composition(sk1,complement(X0))))) = join(X0,complement(composition(converse(sk1),top))),
inference(forward_demodulation,[],[f9968,f1015]) ).
fof(f10060,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(join(complement(X0),composition(converse(sk1),top))),complement(join(X0,composition(converse(sk1),composition(sk1,X0))))),
inference(forward_demodulation,[],[f10014,f626]) ).
fof(f10072,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,complement(X0)))) = join(X0,complement(composition(converse(sk1),top))),
inference(backward_demodulation,[],[f3661,f10030]) ).
fof(f10091,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(join(complement(X0),composition(converse(sk1),top))),complement(X0)),
inference(forward_demodulation,[],[f10060,f782]) ).
fof(f10110,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(X0),complement(join(complement(X0),composition(converse(sk1),top)))),
inference(forward_demodulation,[],[f10091,f1]) ).
fof(f10121,plain,
! [X0] : complement(composition(converse(sk1),composition(sk1,X0))) = join(complement(X0),complement(composition(converse(sk1),top))),
inference(forward_demodulation,[],[f10110,f1015]) ).
fof(f11386,plain,
! [X2,X0,X1] : join(complement(X2),composition(X1,X0)) = join(complement(X2),composition(X1,join(X0,complement(composition(converse(X1),X2))))),
inference(superposition,[],[f6866,f1]) ).
fof(f13638,plain,
! [X0] : composition(sk1,complement(X0)) = composition(sk1,complement(composition(converse(sk1),composition(sk1,X0)))),
inference(superposition,[],[f5533,f10121]) ).
fof(f13774,plain,
! [X0] : complement(composition(sk1,X0)) = join(complement(composition(sk1,X0)),composition(sk1,complement(X0))),
inference(superposition,[],[f129,f13638]) ).
fof(f13778,plain,
! [X0] : complement(complement(composition(converse(sk1),composition(sk1,X0)))) = join(complement(complement(composition(converse(sk1),composition(sk1,X0)))),composition(converse(sk1),complement(composition(sk1,complement(X0))))),
inference(superposition,[],[f25,f13638]) ).
fof(f13813,plain,
! [X0] : composition(converse(sk1),composition(sk1,X0)) = join(composition(converse(sk1),composition(sk1,X0)),composition(converse(sk1),complement(composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f13778,f626]) ).
fof(f13830,plain,
! [X0] : composition(converse(sk1),composition(sk1,X0)) = composition(converse(sk1),join(composition(sk1,X0),complement(composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f13813,f267]) ).
fof(f13998,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,complement(X0))),composition(sk1,X0)),
inference(superposition,[],[f13774,f626]) ).
fof(f14006,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(join(composition(sk1,X0),composition(sk1,complement(X0)))),complement(complement(composition(sk1,X0)))),
inference(superposition,[],[f1456,f13774]) ).
fof(f14052,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(composition(sk1,X0))),complement(join(composition(sk1,X0),composition(sk1,complement(X0))))),
inference(forward_demodulation,[],[f14006,f1]) ).
fof(f14058,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f13998,f1]) ).
fof(f14076,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(composition(sk1,X0))),complement(composition(sk1,join(X0,complement(X0))))),
inference(forward_demodulation,[],[f14052,f267]) ).
fof(f14082,plain,
! [X0] : composition(converse(sk1),composition(sk1,X0)) = composition(converse(sk1),complement(composition(sk1,complement(X0)))),
inference(backward_demodulation,[],[f13830,f14058]) ).
fof(f14091,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(complement(composition(sk1,X0))),complement(composition(sk1,top))),
inference(forward_demodulation,[],[f14076,f15]) ).
fof(f14100,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,top)),complement(complement(composition(sk1,X0)))),
inference(forward_demodulation,[],[f14091,f1]) ).
fof(f14102,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(complement(composition(sk1,top)),composition(sk1,X0)),
inference(forward_demodulation,[],[f14100,f626]) ).
fof(f14107,plain,
! [X0] : composition(converse(sk1),composition(sk1,complement(X0))) = composition(converse(sk1),complement(composition(sk1,X0))),
inference(superposition,[],[f14082,f626]) ).
fof(f14190,plain,
! [X0] : join(X0,complement(composition(converse(sk1),top))) = complement(composition(converse(sk1),complement(composition(sk1,X0)))),
inference(backward_demodulation,[],[f10072,f14107]) ).
fof(f14282,plain,
! [X0] : complement(composition(sk1,complement(X0))) = join(composition(sk1,X0),complement(composition(sk1,top))),
inference(superposition,[],[f1,f14102]) ).
fof(f19160,plain,
! [X2,X0,X1] : join(complement(X0),complement(join(complement(X0),composition(X1,X2)))) = join(complement(X0),complement(composition(X1,join(X2,complement(composition(converse(X1),X0)))))),
inference(superposition,[],[f1015,f11386]) ).
fof(f19193,plain,
! [X2,X0,X1] : join(complement(X0),complement(composition(X1,X2))) = join(complement(X0),complement(composition(X1,join(X2,complement(composition(converse(X1),X0)))))),
inference(forward_demodulation,[],[f19160,f1015]) ).
fof(f22267,plain,
! [X0,X1] : join(composition(sk1,join(X1,X0)),complement(composition(sk1,top))) = join(composition(sk1,X1),complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f300,f14282]) ).
fof(f22333,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,[],[f22267,f1]) ).
fof(f22379,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = join(composition(sk1,X1),complement(composition(sk1,complement(X0)))),
inference(forward_demodulation,[],[f22333,f14102]) ).
fof(f22723,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),composition(sk1,X1)) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,complement(composition(converse(sk1),complement(composition(sk1,X0))))))),
inference(superposition,[],[f11386,f14107]) ).
fof(f22780,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),composition(sk1,X1)) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,join(X0,complement(composition(converse(sk1),top)))))),
inference(forward_demodulation,[],[f22723,f14190]) ).
fof(f22816,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),composition(sk1,X1)) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,X0))),
inference(forward_demodulation,[],[f22780,f8997]) ).
fof(f29392,plain,
! [X2,X0,X1] : join(composition(converse(X1),join(X2,complement(composition(X1,X0)))),complement(X0)) = join(composition(converse(X1),X2),complement(X0)),
inference(superposition,[],[f2401,f25]) ).
fof(f29542,plain,
! [X2,X0,X1] : join(complement(X0),composition(converse(X1),join(X2,complement(composition(X1,X0))))) = join(composition(converse(X1),X2),complement(X0)),
inference(forward_demodulation,[],[f29392,f1]) ).
fof(f29952,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X0))),composition(converse(converse(sk1)),join(X1,complement(composition(converse(sk1),complement(composition(sk1,X0))))))) = join(composition(converse(converse(sk1)),X1),complement(composition(sk1,complement(X0)))),
inference(superposition,[],[f29542,f14107]) ).
fof(f30125,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,complement(composition(converse(sk1),complement(composition(sk1,X0))))))),
inference(forward_demodulation,[],[f29952,f10]) ).
fof(f30211,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,join(X0,complement(composition(converse(sk1),top)))))),
inference(forward_demodulation,[],[f30125,f14190]) ).
fof(f30262,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,complement(X0)))) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,X0))),
inference(forward_demodulation,[],[f30211,f8997]) ).
fof(f30293,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = join(complement(composition(sk1,complement(X0))),composition(sk1,join(X1,X0))),
inference(forward_demodulation,[],[f30262,f22379]) ).
fof(f30309,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = join(complement(composition(sk1,complement(X0))),composition(sk1,X1)),
inference(backward_demodulation,[],[f22816,f30293]) ).
fof(f30318,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = complement(composition(sk1,complement(join(join(X1,X0),X0)))),
inference(backward_demodulation,[],[f30293,f30309]) ).
fof(f30328,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,X0)))) = complement(composition(sk1,complement(join(X0,join(X1,X0))))),
inference(forward_demodulation,[],[f30318,f1]) ).
fof(f30335,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X0,X1)))) = complement(composition(sk1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f30328,f813]) ).
fof(f30340,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = join(complement(composition(sk1,X0)),composition(sk1,X1)),
inference(superposition,[],[f30309,f626]) ).
fof(f30413,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = join(complement(composition(sk1,complement(X1))),complement(complement(composition(sk1,complement(join(X0,X1)))))),
inference(superposition,[],[f1015,f30309]) ).
fof(f30417,plain,
! [X0,X1] : join(complement(complement(composition(sk1,complement(X1)))),composition(sk1,X0)) = join(composition(sk1,X0),complement(complement(composition(sk1,complement(join(X0,X1)))))),
inference(superposition,[],[f1867,f30309]) ).
fof(f30452,plain,
! [X0,X1] : join(complement(complement(composition(sk1,complement(X1)))),composition(sk1,X0)) = join(composition(sk1,X0),composition(sk1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f30417,f626]) ).
fof(f30456,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = join(complement(composition(sk1,complement(X1))),composition(sk1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f30413,f626]) ).
fof(f30532,plain,
! [X0,X1] : join(complement(complement(composition(sk1,complement(X1)))),composition(sk1,X0)) = composition(sk1,join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f30452,f267]) ).
fof(f30536,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = complement(composition(sk1,complement(join(complement(join(X0,X1)),X1)))),
inference(forward_demodulation,[],[f30456,f30309]) ).
fof(f30593,plain,
! [X0,X1] : composition(sk1,join(X0,complement(X1))) = join(complement(complement(composition(sk1,complement(X1)))),composition(sk1,X0)),
inference(forward_demodulation,[],[f30532,f1015]) ).
fof(f30597,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = complement(composition(sk1,complement(join(X1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f30536,f30335]) ).
fof(f30634,plain,
! [X0,X1] : composition(sk1,join(X0,complement(X1))) = join(composition(sk1,complement(X1)),composition(sk1,X0)),
inference(forward_demodulation,[],[f30593,f626]) ).
fof(f30638,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = join(complement(composition(sk1,join(X0,X1))),composition(sk1,X1)),
inference(forward_demodulation,[],[f30597,f30340]) ).
fof(f30662,plain,
! [X0,X1] : composition(sk1,join(complement(X1),X0)) = composition(sk1,join(X0,complement(X1))),
inference(forward_demodulation,[],[f30634,f267]) ).
fof(f30665,plain,
! [X0,X1] : join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))) = join(composition(sk1,X1),complement(composition(sk1,join(X0,X1)))),
inference(forward_demodulation,[],[f30638,f1]) ).
fof(f30679,plain,
! [X0,X1] : join(composition(sk1,X1),complement(composition(sk1,X0))) = join(complement(composition(sk1,complement(X1))),complement(composition(sk1,X0))),
inference(forward_demodulation,[],[f30665,f1584]) ).
fof(f30695,plain,
! [X0,X1] : join(composition(sk1,complement(X0)),complement(composition(sk1,X1))) = join(complement(composition(sk1,X0)),complement(composition(sk1,X1))),
inference(superposition,[],[f30679,f626]) ).
fof(f46521,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = join(complement(composition(sk1,top)),composition(sk1,join(complement(X0),X1))),
inference(superposition,[],[f14102,f30662]) ).
fof(f46600,plain,
! [X0,X1] : complement(composition(sk1,complement(join(X1,complement(X0))))) = complement(composition(sk1,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f46521,f14102]) ).
fof(f46654,plain,
! [X0,X1] : complement(composition(sk1,complement(join(complement(X0),X1)))) = join(complement(composition(sk1,X0)),composition(sk1,X1)),
inference(forward_demodulation,[],[f46600,f30340]) ).
fof(f47467,plain,
! [X0,X1] : composition(sk1,complement(join(complement(X0),X1))) = complement(join(complement(composition(sk1,X0)),composition(sk1,X1))),
inference(superposition,[],[f626,f46654]) ).
fof(f49472,plain,
! [X0,X1] : join(complement(composition(sk1,X1)),composition(sk1,complement(X0))) = join(composition(sk1,complement(X0)),complement(composition(sk1,join(X1,complement(composition(converse(sk1),composition(sk1,X0))))))),
inference(superposition,[],[f1923,f13638]) ).
fof(f49848,plain,
! [X0,X1] : join(complement(composition(sk1,X1)),composition(sk1,complement(X0))) = join(complement(composition(sk1,X0)),complement(composition(sk1,join(X1,complement(composition(converse(sk1),composition(sk1,X0))))))),
inference(forward_demodulation,[],[f49472,f30695]) ).
fof(f49946,plain,
! [X0,X1] : join(complement(composition(sk1,X0)),complement(composition(sk1,X1))) = join(complement(composition(sk1,X1)),composition(sk1,complement(X0))),
inference(forward_demodulation,[],[f49848,f19193]) ).
fof(f50916,plain,
! [X0,X1] : complement(join(complement(composition(sk1,X0)),complement(composition(sk1,X1)))) = complement(join(complement(composition(sk1,X0)),composition(sk1,complement(X1)))),
inference(superposition,[],[f4315,f49946]) ).
fof(f51093,plain,
! [X0,X1] : composition(sk1,complement(join(complement(X0),complement(X1)))) = complement(join(complement(composition(sk1,X0)),complement(composition(sk1,X1)))),
inference(forward_demodulation,[],[f50916,f47467]) ).
fof(f51210,plain,
sP0(composition(sk1,complement(join(complement(sk2),complement(sk3))))),
inference(backward_demodulation,[],[f23,f51093]) ).
fof(f51287,plain,
$false,
inference(forward_subsumption_resolution,[],[f51210,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL040-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n026.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 22:58:56 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 47.65/7.36 % (3303638)Detected a unit-equality problem, will run specialized UEQ schedule.
% 47.65/7.36 % (3303648)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3135697577:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 47.65/7.36 % (3303647)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2593969386:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 47.65/7.36 % (3303646)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=4134750760:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 47.65/7.36 % (3303644)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=2092828272:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 47.65/7.36 % (3303643)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=731230743:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 47.65/7.36 % (3303645)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=606404779:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 47.65/7.36 % (3303649)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1198279212:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 47.65/7.36 % (3303648)Instruction limit reached!
% 47.65/7.36 % (3303648)------------------------------
% 47.65/7.36 % (3303648)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303648)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303648)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303648)Termination reason: Instruction limit
% 47.65/7.36 % (3303648)Termination phase: Saturation
% 47.65/7.36 % (3303648)Time elapsed: 0.089 s
% 47.65/7.36 % (3303648)Peak memory usage: 90 MB
% 47.65/7.36 % (3303648)Instructions burned: 258 (million)
% 47.65/7.36 % (3303646)Instruction limit reached!
% 47.65/7.36 % (3303646)------------------------------
% 47.65/7.36 % (3303646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303646)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303646)Termination reason: Instruction limit
% 47.65/7.36 % (3303646)Termination phase: Saturation
% 47.65/7.36 % (3303646)Time elapsed: 0.083 s
% 47.65/7.36 % (3303646)Peak memory usage: 89 MB
% 47.65/7.36 % (3303646)Instructions burned: 137 (million)
% 47.65/7.36 % (3303647)Instruction limit reached!
% 47.65/7.36 % (3303647)------------------------------
% 47.65/7.36 % (3303647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303647)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303647)Termination reason: Instruction limit
% 47.65/7.36 % (3303647)Termination phase: Saturation
% 47.65/7.36 % (3303647)Time elapsed: 0.104 s
% 47.65/7.36 % (3303647)Peak memory usage: 89 MB
% 47.65/7.36 % (3303647)Instructions burned: 181 (million)
% 47.65/7.36 % (3303657)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3407700265:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 47.65/7.36 % (3303658)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1031425882:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 47.65/7.36 % (3303659)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3175883257:i=215:ep=RSTC_2997 on theBenchmark for (2997ds/215Mi)
% 47.65/7.36 % (3303659)Instruction limit reached!
% 47.65/7.36 % (3303659)------------------------------
% 47.65/7.36 % (3303659)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303659)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303659)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303659)Termination reason: Instruction limit
% 47.65/7.36 % (3303659)Termination phase: Saturation
% 47.65/7.36 % (3303659)Time elapsed: 0.120 s
% 47.65/7.36 % (3303659)Peak memory usage: 92 MB
% 47.65/7.36 % (3303659)Instructions burned: 215 (million)
% 47.65/7.36 % (3303663)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=2449886199:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2994 on theBenchmark for (2994ds/317Mi)
% 47.65/7.36 % (3303649)Instruction limit reached!
% 47.65/7.36 % (3303649)------------------------------
% 47.65/7.36 % (3303649)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303649)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303649)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303649)Termination reason: Instruction limit
% 47.65/7.36 % (3303649)Termination phase: Saturation
% 47.65/7.36 % (3303649)Time elapsed: 0.656 s
% 47.65/7.36 % (3303649)Peak memory usage: 101 MB
% 47.65/7.36 % (3303649)Instructions burned: 1190 (million)
% 47.65/7.36 % (3303663)Instruction limit reached!
% 47.65/7.36 % (3303663)------------------------------
% 47.65/7.36 % (3303663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303663)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303663)Termination reason: Instruction limit
% 47.65/7.36 % (3303663)Termination phase: Saturation
% 47.65/7.36 % (3303663)Time elapsed: 0.188 s
% 47.65/7.36 % (3303663)Peak memory usage: 92 MB
% 47.65/7.36 % (3303663)Instructions burned: 318 (million)
% 47.65/7.36 % (3303665)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=1802459412:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 47.65/7.36 % (3303666)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=654272657:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 47.65/7.36 % (3303657)Instruction limit reached!
% 47.65/7.36 % (3303657)------------------------------
% 47.65/7.36 % (3303657)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303657)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303657)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303657)Termination reason: Instruction limit
% 47.65/7.36 % (3303657)Termination phase: Saturation
% 47.65/7.36 % (3303657)Time elapsed: 1.084 s
% 47.65/7.36 % (3303657)Peak memory usage: 141 MB
% 47.65/7.36 % (3303657)Instructions burned: 2052 (million)
% 47.65/7.36 % (3303669)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=277013504:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2986 on theBenchmark for (2986ds/14534Mi)
% 47.65/7.36 % (3303666)Instruction limit reached!
% 47.65/7.36 % (3303666)------------------------------
% 47.65/7.36 % (3303666)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303666)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303666)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303666)Termination reason: Instruction limit
% 47.65/7.36 % (3303666)Termination phase: Saturation
% 47.65/7.36 % (3303666)Time elapsed: 1.676 s
% 47.65/7.36 % (3303666)Peak memory usage: 112 MB
% 47.65/7.36 % (3303666)Instructions burned: 2836 (million)
% 47.65/7.36 % (3303671)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=1889391325:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 47.65/7.36 % (3303658)Instruction limit reached!
% 47.65/7.36 % (3303658)------------------------------
% 47.65/7.36 % (3303658)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303658)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303658)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303658)Termination reason: Instruction limit
% 47.65/7.36 % (3303658)Termination phase: Saturation
% 47.65/7.36 % (3303658)Time elapsed: 2.937 s
% 47.65/7.36 % (3303658)Peak memory usage: 162 MB
% 47.65/7.36 % (3303658)Instructions burned: 4948 (million)
% 47.65/7.36 % (3303675)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=781061521:i=2279:fgj=on:bd=all_2966 on theBenchmark for (2966ds/2279Mi)
% 47.65/7.36 % (3303675)Instruction limit reached!
% 47.65/7.36 % (3303675)------------------------------
% 47.65/7.36 % (3303675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.65/7.36 % (3303675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.65/7.36 % (3303675)CaDiCaL version: 2.1.3
% 47.65/7.36 % (3303675)Termination reason: Instruction limit
% 47.65/7.36 % (3303675)Termination phase: Saturation
% 47.65/7.36 % (3303675)Time elapsed: 1.428 s
% 47.65/7.36 % (3303675)Peak memory usage: 139 MB
% 47.65/7.36 % (3303675)Instructions burned: 2280 (million)
% 47.65/7.36 % (3303677)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=1759317063:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2951 on theBenchmark for (2951ds/6225Mi)
% 47.65/7.36 % (3303669)First to succeed.
% 47.65/7.36 % (3303669)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3303638"
% 47.65/7.36 % (3303669)Refutation found. Thanks to Tanya!
% 47.65/7.36 % SZS status Unsatisfiable for theBenchmark
% 47.65/7.36 % SZS output start Proof for theBenchmark
% See solution above
% 48.24/7.55 % (3303669)------------------------------
% 48.24/7.55 % (3303669)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.24/7.55 % (3303669)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.24/7.55 % (3303669)CaDiCaL version: 2.1.3
% 48.24/7.55 % (3303669)Termination reason: Refutation
% 48.24/7.55 % (3303669)Time elapsed: 4.930 s
% 48.24/7.55 % (3303669)Peak memory usage: 196 MB
% 48.24/7.55 % (3303669)Instructions burned: 7967 (million)
% 48.24/7.55 % (3303669)------------------------------
% 48.24/7.55 % (3303669)------------------------------
% 48.24/7.55 % (3303638)Success in time 6.755 s
% 48.24/7.55 % Vampire exiting
%------------------------------------------------------------------------------