%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL019-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n013.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 12:33:47 PM UTC 2026
% Result : Unsatisfiable 17.90s 3.36s
% Output : Refutation 0.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 52
% Number of leaves : 22
% Syntax : Number of formulae : 225 ( 225 unt; 7 def)
% Number of atoms : 225 ( 224 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 17 ( 17 usr; 12 con; 0-2 aty)
% Number of variables : 193 ( 193 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',composition_distributivity_7) ).
fof(f10,negated_conjecture,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f11,negated_conjecture,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',converse_additivity_9) ).
fof(f12,negated_conjecture,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/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/sandbox2/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,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
composition(sk1,top) = sk1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk1 = composition(sk1,top),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
composition(sk2,top) = sk2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
sk2 = composition(sk2,top),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
composition(meet(sk1,sk2),top) != meet(sk1,sk2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
meet(sk1,sk2) != composition(meet(sk1,sk2),top),
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f24,plain,
complement(join(complement(sk1),complement(sk2))) != composition(complement(join(complement(sk1),complement(sk2))),top),
inference(definition_unfolding,[],[f22,f6,f6]) ).
fof(f25,definition,
sF0 = composition(sk1,top),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f26,plain,
composition(sk1,top) = sF0,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sk1 = sF0,
inference(definition_folding,[],[f18,f26]) ).
fof(f28,definition,
sF1 = composition(sk2,top),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
composition(sk2,top) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,plain,
sk2 = sF1,
inference(definition_folding,[],[f20,f29]) ).
fof(f31,definition,
sF2 = complement(sk1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f32,plain,
complement(sk1) = sF2,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF3 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f34,plain,
complement(sk2) = sF3,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f36,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f38,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF6 = composition(sF5,top),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f40,plain,
composition(sF5,top) = sF6,
inference(reorient_equations,[],[f39]) ).
fof(f41,plain,
sF5 != sF6,
inference(definition_folding,[],[f24,f40,f38,f36,f34,f32,f38,f36,f34,f32]) ).
fof(f42,plain,
zero = complement(top),
inference(backward_demodulation,[],[f23,f15]) ).
fof(f43,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f44,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f45,plain,
sk1 = composition(sk1,top),
inference(forward_demodulation,[],[f26,f27]) ).
fof(f46,plain,
sk2 = composition(sk2,top),
inference(forward_demodulation,[],[f29,f30]) ).
fof(f51,plain,
! [X0] : join(complement(join(complement(X0),sF4)),complement(join(complement(X0),sF5))) = X0,
inference(superposition,[],[f44,f38]) ).
fof(f52,plain,
! [X0] : join(complement(join(complement(X0),sk2)),complement(join(complement(X0),sF3))) = X0,
inference(superposition,[],[f44,f34]) ).
fof(f57,plain,
! [X0] : join(complement(join(complement(X0),sF3)),complement(join(complement(X0),sk2))) = X0,
inference(forward_demodulation,[],[f52,f1]) ).
fof(f58,plain,
! [X0] : join(complement(join(complement(X0),sF4)),complement(join(sF5,complement(X0)))) = X0,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f61,plain,
! [X0] : join(complement(join(complement(X0),sF3)),complement(join(sk2,complement(X0)))) = X0,
inference(forward_demodulation,[],[f57,f1]) ).
fof(f62,plain,
! [X0] : join(complement(join(sF5,complement(X0))),complement(join(complement(X0),sF4))) = X0,
inference(forward_demodulation,[],[f58,f1]) ).
fof(f65,plain,
! [X0] : join(complement(join(sk2,complement(X0))),complement(join(complement(X0),sF3))) = X0,
inference(forward_demodulation,[],[f61,f1]) ).
fof(f66,plain,
! [X0] : join(complement(join(sF5,complement(X0))),complement(join(sF4,complement(X0)))) = X0,
inference(forward_demodulation,[],[f62,f1]) ).
fof(f68,plain,
! [X0] : join(complement(join(sk2,complement(X0))),complement(join(sF3,complement(X0)))) = X0,
inference(forward_demodulation,[],[f65,f1]) ).
fof(f69,plain,
! [X0] : join(complement(join(sF4,complement(X0))),complement(join(sF5,complement(X0)))) = X0,
inference(forward_demodulation,[],[f66,f1]) ).
fof(f71,plain,
! [X0] : join(complement(join(sF3,complement(X0))),complement(join(sk2,complement(X0)))) = X0,
inference(forward_demodulation,[],[f68,f1]) ).
fof(f81,plain,
complement(top) = join(complement(top),composition(converse(sk2),complement(sk2))),
inference(superposition,[],[f43,f46]) ).
fof(f82,plain,
complement(top) = join(complement(top),composition(converse(sk2),sF3)),
inference(forward_demodulation,[],[f81,f34]) ).
fof(f83,plain,
zero = join(zero,composition(converse(sk2),sF3)),
inference(forward_demodulation,[],[f82,f42]) ).
fof(f88,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f44,f15]) ).
fof(f89,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f88,f42]) ).
fof(f94,plain,
top = join(top,zero),
inference(superposition,[],[f15,f42]) ).
fof(f105,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f44,f1]) ).
fof(f109,plain,
! [X0] : composition(join(sk1,X0),top) = join(sk1,composition(X0,top)),
inference(superposition,[],[f9,f45]) ).
fof(f110,plain,
! [X0] : composition(join(sk2,X0),top) = join(sk2,composition(X0,top)),
inference(superposition,[],[f9,f46]) ).
fof(f127,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f131,plain,
! [X2,X0,X1] : join(X0,X2) = join(complement(join(complement(X0),X1)),join(complement(join(complement(X0),complement(X1))),X2)),
inference(superposition,[],[f2,f44]) ).
fof(f135,plain,
! [X0] : join(sF2,join(sF3,X0)) = join(sF4,X0),
inference(superposition,[],[f2,f36]) ).
fof(f141,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f172,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),top)),join(complement(join(complement(X0),zero)),X1)),
inference(superposition,[],[f131,f42]) ).
fof(f198,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(complement(X0),top)),join(complement(join(zero,complement(X0))),X1)),
inference(forward_demodulation,[],[f172,f1]) ).
fof(f208,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(zero,complement(X0))),join(X1,complement(join(complement(X0),top)))),
inference(forward_demodulation,[],[f198,f141]) ).
fof(f213,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(zero,complement(X0))),join(X1,complement(join(top,complement(X0))))),
inference(forward_demodulation,[],[f208,f1]) ).
fof(f218,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(top,complement(X0))),join(complement(join(zero,complement(X0))),X1)),
inference(forward_demodulation,[],[f213,f141]) ).
fof(f238,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f105,f15]) ).
fof(f251,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f238,f1]) ).
fof(f269,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f251,f1]) ).
fof(f279,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f269,f42]) ).
fof(f285,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f89,f279]) ).
fof(f296,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f279,f285]) ).
fof(f312,plain,
top = complement(zero),
inference(superposition,[],[f285,f42]) ).
fof(f313,plain,
sk1 = complement(sF2),
inference(superposition,[],[f285,f32]) ).
fof(f314,plain,
sk2 = complement(sF3),
inference(superposition,[],[f285,f34]) ).
fof(f318,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f44,f285]) ).
fof(f321,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f105,f285]) ).
fof(f346,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f318,f1]) ).
fof(f364,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f318,f318]) ).
fof(f368,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(X0,complement(X1))))),
inference(forward_demodulation,[],[f364,f1]) ).
fof(f383,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(join(X0,complement(X1)),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f368,f1]) ).
fof(f390,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f383,f2]) ).
fof(f394,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f390,f285]) ).
fof(f396,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f394,f285]) ).
fof(f405,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f127,f318]) ).
fof(f408,plain,
! [X0,X1] : join(top,X0) = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f127,f1]) ).
fof(f417,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f405,f1]) ).
fof(f424,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f417,f141]) ).
fof(f425,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f424,f408]) ).
fof(f517,plain,
! [X0,X1] : converse(join(X1,converse(X0))) = join(converse(X1),X0),
inference(superposition,[],[f11,f10]) ).
fof(f519,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f521,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(X0,complement(composition(converse(X0),X1)))),
inference(superposition,[],[f43,f10]) ).
fof(f524,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f519,f8]) ).
fof(f536,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f524,f10]) ).
fof(f599,plain,
join(sF4,complement(sF3)) = join(sF2,top),
inference(superposition,[],[f135,f15]) ).
fof(f610,plain,
join(sF2,top) = join(sF4,sk2),
inference(forward_demodulation,[],[f599,f314]) ).
fof(f746,plain,
! [X0] : join(X0,top) = join(top,join(zero,X0)),
inference(superposition,[],[f141,f94]) ).
fof(f770,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(join(sF3,complement(X0)),X0),
inference(superposition,[],[f127,f71]) ).
fof(f781,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(X0,join(sF3,complement(X0))),
inference(forward_demodulation,[],[f770,f1]) ).
fof(f797,plain,
! [X0] : join(top,complement(join(sk2,complement(X0)))) = join(top,sF3),
inference(forward_demodulation,[],[f781,f408]) ).
fof(f807,plain,
! [X0] : join(sF3,top) = join(top,complement(join(sk2,complement(X0)))),
inference(forward_demodulation,[],[f797,f1]) ).
fof(f817,plain,
! [X0] : join(top,X0) = join(sF3,top),
inference(forward_demodulation,[],[f807,f425]) ).
fof(f841,plain,
! [X0] : join(X0,top) = join(sF3,top),
inference(backward_demodulation,[],[f746,f817]) ).
fof(f846,plain,
! [X0,X1] : join(X0,X1) = join(complement(join(sF3,top)),join(complement(join(zero,complement(X0))),X1)),
inference(backward_demodulation,[],[f218,f817]) ).
fof(f849,plain,
top = join(sF3,top),
inference(backward_demodulation,[],[f94,f817]) ).
fof(f852,plain,
! [X0] : top = join(top,X0),
inference(backward_demodulation,[],[f817,f849]) ).
fof(f854,plain,
! [X0,X1] : join(X0,X1) = join(complement(top),join(complement(join(zero,complement(X0))),X1)),
inference(forward_demodulation,[],[f846,f849]) ).
fof(f859,plain,
! [X0] : top = join(X0,top),
inference(forward_demodulation,[],[f841,f849]) ).
fof(f882,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(join(zero,complement(X0))),X1)),
inference(forward_demodulation,[],[f854,f42]) ).
fof(f887,plain,
top = join(sF4,sk2),
inference(backward_demodulation,[],[f610,f859]) ).
fof(f998,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(superposition,[],[f517,f852]) ).
fof(f1137,plain,
sF3 = join(complement(join(sF4,sk2)),complement(join(sF5,sk2))),
inference(superposition,[],[f69,f314]) ).
fof(f1158,plain,
sF3 = join(complement(join(sF4,sk2)),complement(join(sk2,sF5))),
inference(forward_demodulation,[],[f1137,f1]) ).
fof(f1172,plain,
sF3 = join(complement(top),complement(join(sk2,sF5))),
inference(forward_demodulation,[],[f1158,f887]) ).
fof(f1183,plain,
sF3 = join(zero,complement(join(sk2,sF5))),
inference(forward_demodulation,[],[f1172,f42]) ).
fof(f1248,plain,
top = converse(top),
inference(superposition,[],[f859,f998]) ).
fof(f1290,plain,
! [X0] : converse(composition(X0,top)) = composition(top,converse(X0)),
inference(superposition,[],[f12,f1248]) ).
fof(f1376,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(join(X0,X0)),complement(zero)))),
inference(superposition,[],[f346,f296]) ).
fof(f1401,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(complement(join(complement(join(X0,complement(X1))),join(X1,X0))),complement(complement(X0))),
inference(superposition,[],[f321,f346]) ).
fof(f1413,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,[],[f1401,f1]) ).
fof(f1432,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f1376,f1]) ).
fof(f1448,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,[],[f1413,f1]) ).
fof(f1463,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f1432,f312]) ).
fof(f1474,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,[],[f1448,f2]) ).
fof(f1483,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(top)),
inference(forward_demodulation,[],[f1463,f852]) ).
fof(f1490,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1474,f285]) ).
fof(f1495,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[],[f1483,f1]) ).
fof(f1502,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f1490,f285]) ).
fof(f1503,plain,
! [X0] : join(complement(top),X0) = complement(complement(join(X0,X0))),
inference(forward_demodulation,[],[f1495,f285]) ).
fof(f1508,plain,
! [X0] : join(complement(top),X0) = join(X0,X0),
inference(forward_demodulation,[],[f1503,f285]) ).
fof(f1509,plain,
! [X0] : join(zero,X0) = join(X0,X0),
inference(forward_demodulation,[],[f1508,f42]) ).
fof(f1520,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(superposition,[],[f1,f1509]) ).
fof(f1529,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(join(zero,X0),X1),
inference(superposition,[],[f2,f1509]) ).
fof(f1536,plain,
! [X0,X1] : join(zero,join(X0,X1)) = join(X1,join(join(X0,X1),X0)),
inference(superposition,[],[f141,f1509]) ).
fof(f1554,plain,
! [X0,X1] : join(zero,join(X0,X1)) = join(X1,join(X0,join(X0,X1))),
inference(forward_demodulation,[],[f1536,f1]) ).
fof(f1558,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(zero,join(X0,X1)),
inference(forward_demodulation,[],[f1529,f2]) ).
fof(f1742,plain,
join(sF4,zero) = join(sF2,join(sF3,sF3)),
inference(superposition,[],[f135,f1520]) ).
fof(f1743,plain,
join(sF4,zero) = join(sF4,sF3),
inference(forward_demodulation,[],[f1742,f135]) ).
fof(f1769,plain,
join(sF3,sF4) = join(sF4,zero),
inference(forward_demodulation,[],[f1743,f1]) ).
fof(f1784,plain,
join(sF3,sF4) = join(sF4,sF4),
inference(forward_demodulation,[],[f1769,f1520]) ).
fof(f2092,plain,
complement(composition(converse(sk2),sF3)) = join(complement(zero),complement(join(composition(converse(sk2),sF3),complement(zero)))),
inference(superposition,[],[f346,f83]) ).
fof(f2093,plain,
complement(composition(converse(sk2),sF3)) = join(complement(zero),complement(join(complement(zero),composition(converse(sk2),sF3)))),
inference(forward_demodulation,[],[f2092,f1]) ).
fof(f2097,plain,
complement(composition(converse(sk2),sF3)) = join(top,complement(join(top,composition(converse(sk2),sF3)))),
inference(forward_demodulation,[],[f2093,f312]) ).
fof(f2099,plain,
top = complement(composition(converse(sk2),sF3)),
inference(forward_demodulation,[],[f2097,f852]) ).
fof(f2100,plain,
complement(sF3) = join(complement(sF3),composition(sk2,top)),
inference(superposition,[],[f521,f2099]) ).
fof(f2116,plain,
complement(sF3) = join(complement(sF3),sk2),
inference(forward_demodulation,[],[f2100,f46]) ).
fof(f2125,plain,
complement(sF3) = join(sk2,complement(sF3)),
inference(forward_demodulation,[],[f2116,f1]) ).
fof(f2130,plain,
sk2 = join(sk2,sk2),
inference(forward_demodulation,[],[f2125,f314]) ).
fof(f2137,plain,
complement(sk2) = join(zero,complement(sk2)),
inference(superposition,[],[f296,f2130]) ).
fof(f2148,plain,
sF3 = join(zero,sF3),
inference(forward_demodulation,[],[f2137,f34]) ).
fof(f2153,plain,
sF3 = join(sF3,zero),
inference(forward_demodulation,[],[f2148,f1]) ).
fof(f2157,plain,
sF3 = join(sF3,sF3),
inference(forward_demodulation,[],[f2153,f1520]) ).
fof(f2168,plain,
join(sF2,sF3) = join(sF4,sF3),
inference(superposition,[],[f135,f2157]) ).
fof(f2181,plain,
join(sF2,sF3) = join(sF3,sF4),
inference(forward_demodulation,[],[f2168,f1]) ).
fof(f2186,plain,
sF4 = join(sF3,sF4),
inference(forward_demodulation,[],[f2181,f36]) ).
fof(f2191,plain,
sF4 = join(sF4,sF4),
inference(backward_demodulation,[],[f1784,f2186]) ).
fof(f2206,plain,
join(sF2,sF4) = join(sF4,sF4),
inference(superposition,[],[f135,f2186]) ).
fof(f2219,plain,
sF4 = join(sF2,sF4),
inference(forward_demodulation,[],[f2206,f2191]) ).
fof(f2294,plain,
complement(sF2) = join(complement(sF4),complement(join(sF2,complement(sF4)))),
inference(superposition,[],[f318,f2219]) ).
fof(f2299,plain,
complement(sF2) = join(sF5,complement(join(sF2,sF5))),
inference(forward_demodulation,[],[f2294,f38]) ).
fof(f2304,plain,
sk1 = join(sF5,complement(join(sF2,sF5))),
inference(forward_demodulation,[],[f2299,f313]) ).
fof(f2349,plain,
! [X0] : complement(X0) = join(complement(X0),composition(one,complement(X0))),
inference(superposition,[],[f521,f536]) ).
fof(f2352,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(composition(X1,X0),X0),
inference(superposition,[],[f9,f536]) ).
fof(f2355,plain,
one = converse(one),
inference(superposition,[],[f8,f536]) ).
fof(f2358,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f536,f2355]) ).
fof(f2361,plain,
! [X0,X1] : composition(join(X1,converse(one)),X0) = join(X0,composition(X1,X0)),
inference(forward_demodulation,[],[f2352,f1]) ).
fof(f2364,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f2349,f2358]) ).
fof(f2366,plain,
! [X0,X1] : join(X0,composition(X1,X0)) = composition(join(X1,one),X0),
inference(forward_demodulation,[],[f2361,f2355]) ).
fof(f2367,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2364,f1509]) ).
fof(f2372,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(complement(complement(X0)),X1)),
inference(backward_demodulation,[],[f882,f2367]) ).
fof(f2381,plain,
sF3 = complement(join(sk2,sF5)),
inference(backward_demodulation,[],[f1183,f2367]) ).
fof(f2388,plain,
! [X0,X1] : join(X0,X1) = join(zero,join(X0,X1)),
inference(forward_demodulation,[],[f2372,f285]) ).
fof(f2394,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f1558,f2388]) ).
fof(f2395,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,join(X0,X1))),
inference(backward_demodulation,[],[f1554,f2388]) ).
fof(f2404,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(backward_demodulation,[],[f2395,f2394]) ).
fof(f2874,plain,
complement(sF3) = join(sk2,sF5),
inference(superposition,[],[f285,f2381]) ).
fof(f2884,plain,
sk2 = join(sk2,sF5),
inference(forward_demodulation,[],[f2874,f314]) ).
fof(f3012,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f2394,f321]) ).
fof(f3013,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f2394,f346]) ).
fof(f3070,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f3013,f1]) ).
fof(f3071,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3012,f1]) ).
fof(f3080,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f396,f3070]) ).
fof(f3086,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f1502,f3080]) ).
fof(f3088,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f3086,f2404]) ).
fof(f3111,plain,
composition(sk2,top) = join(sk2,composition(sF5,top)),
inference(superposition,[],[f110,f2884]) ).
fof(f3125,plain,
composition(sk2,top) = join(sk2,sF6),
inference(forward_demodulation,[],[f3111,f40]) ).
fof(f3127,plain,
sk2 = join(sk2,sF6),
inference(forward_demodulation,[],[f3125,f46]) ).
fof(f3137,plain,
complement(sF6) = join(complement(sk2),complement(join(sF6,complement(sk2)))),
inference(superposition,[],[f346,f3127]) ).
fof(f3141,plain,
complement(sF6) = join(sF3,complement(join(sF6,sF3))),
inference(forward_demodulation,[],[f3137,f34]) ).
fof(f3144,plain,
complement(sF6) = join(sF3,complement(join(sF3,sF6))),
inference(forward_demodulation,[],[f3141,f1]) ).
fof(f3145,plain,
complement(sF6) = join(sF3,complement(sF6)),
inference(forward_demodulation,[],[f3144,f3088]) ).
fof(f3147,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f3088,f1]) ).
fof(f3254,plain,
sk1 = join(sF5,complement(sF2)),
inference(backward_demodulation,[],[f2304,f3147]) ).
fof(f3293,plain,
sk1 = join(sF5,sk1),
inference(forward_demodulation,[],[f3254,f313]) ).
fof(f3324,plain,
sk1 = join(sk1,sF5),
inference(forward_demodulation,[],[f3293,f1]) ).
fof(f3597,plain,
composition(sk1,top) = join(sk1,composition(sF5,top)),
inference(superposition,[],[f109,f3324]) ).
fof(f3611,plain,
composition(sk1,top) = join(sk1,sF6),
inference(forward_demodulation,[],[f3597,f40]) ).
fof(f3614,plain,
sk1 = join(sk1,sF6),
inference(forward_demodulation,[],[f3611,f45]) ).
fof(f3625,plain,
complement(sF6) = join(complement(sk1),complement(join(sF6,complement(sk1)))),
inference(superposition,[],[f346,f3614]) ).
fof(f3631,plain,
complement(sF6) = join(complement(sk1),complement(sF6)),
inference(forward_demodulation,[],[f3625,f3147]) ).
fof(f3634,plain,
complement(sF6) = join(sF2,complement(sF6)),
inference(forward_demodulation,[],[f3631,f32]) ).
fof(f3704,plain,
join(sF2,complement(sF6)) = join(sF4,complement(sF6)),
inference(superposition,[],[f135,f3145]) ).
fof(f3722,plain,
complement(sF6) = join(sF4,complement(sF6)),
inference(forward_demodulation,[],[f3704,f3634]) ).
fof(f7018,plain,
complement(sF4) = join(complement(sF4),complement(complement(sF6))),
inference(superposition,[],[f3071,f3722]) ).
fof(f7024,plain,
complement(sF4) = join(complement(sF4),sF6),
inference(forward_demodulation,[],[f7018,f285]) ).
fof(f7034,plain,
complement(sF4) = join(sF6,complement(sF4)),
inference(forward_demodulation,[],[f7024,f1]) ).
fof(f7040,plain,
sF5 = join(sF6,sF5),
inference(forward_demodulation,[],[f7034,f38]) ).
fof(f7045,plain,
sF5 = join(sF5,sF6),
inference(forward_demodulation,[],[f7040,f1]) ).
fof(f7654,plain,
composition(top,converse(sF5)) = converse(sF6),
inference(superposition,[],[f1290,f40]) ).
fof(f7717,plain,
composition(join(top,one),converse(sF5)) = join(converse(sF5),converse(sF6)),
inference(superposition,[],[f2366,f7654]) ).
fof(f7727,plain,
converse(join(sF5,sF6)) = composition(join(top,one),converse(sF5)),
inference(forward_demodulation,[],[f7717,f11]) ).
fof(f7733,plain,
converse(join(sF5,sF6)) = composition(top,converse(sF5)),
inference(forward_demodulation,[],[f7727,f852]) ).
fof(f7738,plain,
converse(join(sF5,sF6)) = converse(sF6),
inference(forward_demodulation,[],[f7733,f7654]) ).
fof(f7740,plain,
converse(sF5) = converse(sF6),
inference(forward_demodulation,[],[f7738,f7045]) ).
fof(f7751,plain,
sF6 = converse(converse(sF5)),
inference(superposition,[],[f10,f7740]) ).
fof(f7779,plain,
sF5 = sF6,
inference(forward_demodulation,[],[f7751,f10]) ).
fof(f7784,plain,
$false,
inference(forward_subsumption_resolution,[],[f7779,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL019-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.42 % Computer : n013.cluster.edu
% 0.17/0.42 % Model : x86_64 x86_64
% 0.17/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.42 % Memory : 8046.5625MB
% 0.17/0.42 % OS : Linux 6.8.0-71-generic
% 0.17/0.42 % CPULimit : 300
% 0.17/0.42 % WCLimit : 300
% 0.17/0.42 % DateTime : Sun Sep 27 22:51:21 UTC 2026
% 0.17/0.43 % CPUTime :
% 0.17/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.48 Running first-order theorem proving
% 0.24/0.48 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 17.90/3.36 % (636714)Detected a unit-equality problem, will run specialized UEQ schedule.
% 17.90/3.36 % (636725)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=397691818:i=1187:sd=4:av=off:ss=axioms:sgt=32_3000 on theBenchmark for (3000ds/1187Mi)
% 17.90/3.36 % (636721)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=885670600:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_3000 on theBenchmark for (3000ds/130716Mi)
% 17.90/3.36 % (636723)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2635758608:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_3000 on theBenchmark for (3000ds/181Mi)
% 17.90/3.36 % (636719)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=3295675031:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_3000 on theBenchmark for (3000ds/138329Mi)
% 17.90/3.36 % (636722)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2178110264:i=136:bd=preordered:ins=2:av=off_3000 on theBenchmark for (3000ds/136Mi)
% 17.90/3.36 % (636720)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=398846144:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_3000 on theBenchmark for (3000ds/130792Mi)
% 17.90/3.36 % (636724)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1584237882:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_3000 on theBenchmark for (3000ds/257Mi)
% 17.90/3.36 % (636722)Instruction limit reached!
% 17.90/3.36 % (636722)------------------------------
% 17.90/3.36 % (636722)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636722)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636722)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636722)Termination reason: Instruction limit
% 17.90/3.36 % (636722)Termination phase: Saturation
% 17.90/3.36 % (636722)Time elapsed: 0.141 s
% 17.90/3.36 % (636722)Peak memory usage: 89 MB
% 17.90/3.36 % (636722)Instructions burned: 137 (million)
% 17.90/3.36 % (636723)Instruction limit reached!
% 17.90/3.36 % (636723)------------------------------
% 17.90/3.36 % (636723)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636723)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636723)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636723)Termination reason: Instruction limit
% 17.90/3.36 % (636723)Termination phase: Saturation
% 17.90/3.36 % (636723)Time elapsed: 0.182 s
% 17.90/3.36 % (636723)Peak memory usage: 89 MB
% 17.90/3.36 % (636723)Instructions burned: 181 (million)
% 17.90/3.36 % (636724)Instruction limit reached!
% 17.90/3.36 % (636724)------------------------------
% 17.90/3.36 % (636724)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636724)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636724)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636724)Termination reason: Instruction limit
% 17.90/3.36 % (636724)Termination phase: Saturation
% 17.90/3.36 % (636724)Time elapsed: 0.268 s
% 17.90/3.36 % (636724)Peak memory usage: 90 MB
% 17.90/3.36 % (636724)Instructions burned: 258 (million)
% 17.90/3.36 % (636734)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1304998634:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 17.90/3.36 % (636733)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=968472020:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 17.90/3.36 % (636725)Instruction limit reached!
% 17.90/3.36 % (636725)------------------------------
% 17.90/3.36 % (636725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636725)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636725)Termination reason: Instruction limit
% 17.90/3.36 % (636725)Termination phase: Saturation
% 17.90/3.36 % (636725)Time elapsed: 0.566 s
% 17.90/3.36 % (636725)Peak memory usage: 99 MB
% 17.90/3.36 % (636725)Instructions burned: 1188 (million)
% 17.90/3.36 % (636735)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2023314761:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 17.90/3.36 % (636735)Instruction limit reached!
% 17.90/3.36 % (636735)------------------------------
% 17.90/3.36 % (636735)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636735)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636735)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636735)Termination reason: Instruction limit
% 17.90/3.36 % (636735)Termination phase: Saturation
% 17.90/3.36 % (636735)Time elapsed: 0.213 s
% 17.90/3.36 % (636735)Peak memory usage: 93 MB
% 17.90/3.36 % (636735)Instructions burned: 215 (million)
% 17.90/3.36 % (636738)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=1379048147:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2992 on theBenchmark for (2992ds/317Mi)
% 17.90/3.36 % (636740)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=3200199145:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 17.90/3.36 % (636738)Instruction limit reached!
% 17.90/3.36 % (636738)------------------------------
% 17.90/3.36 % (636738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 17.90/3.36 % (636738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 17.90/3.36 % (636738)CaDiCaL version: 2.1.3
% 17.90/3.36 % (636738)Termination reason: Instruction limit
% 17.90/3.36 % (636738)Termination phase: Saturation
% 17.90/3.36 % (636738)Time elapsed: 0.319 s
% 17.90/3.36 % (636738)Peak memory usage: 92 MB
% 17.90/3.36 % (636738)Instructions burned: 317 (million)
% 17.90/3.36 % (636743)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4126270944:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 17.90/3.36 % (636721)First to succeed.
% 17.90/3.36 % (636721)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-636714"
% 17.90/3.36 % (636719)Also succeeded, but the first one will report.
% 17.90/3.36 % (636721)Refutation found. Thanks to Tanya!
% 17.90/3.36 % SZS status Unsatisfiable for theBenchmark
% 17.90/3.36 % SZS output start Proof for theBenchmark
% See solution above
% 0.24/3.61 % (636721)------------------------------
% 0.24/3.61 % (636721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.24/3.61 % (636721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/3.61 % (636721)CaDiCaL version: 2.1.3
% 0.24/3.61 % (636721)Termination reason: Refutation
% 0.24/3.61 % (636721)Time elapsed: 1.836 s
% 0.24/3.61 % (636721)Peak memory usage: 135 MB
% 0.24/3.61 % (636721)Instructions burned: 1717 (million)
% 0.24/3.61 % (636721)------------------------------
% 0.24/3.61 % (636721)------------------------------
% 0.24/3.61 % (636714)Success in time 2.543 s
% 0.24/3.61 % Vampire exiting
%------------------------------------------------------------------------------