%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL047-1 : 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 : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:34:08 PM UTC 2026
% Result : Unsatisfiable 12.62s 3.04s
% Output : Refutation 15.04s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 20
% Syntax : Number of formulae : 141 ( 141 unt; 7 def)
% Number of atoms : 141 ( 140 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 : 18 ( 18 usr; 13 con; 0-2 aty)
% Number of variables : 148 ( 148 !; 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(f8,negated_conjecture,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',composition_identity_6) ).
fof(f10,negated_conjecture,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',converse_idempotence_8) ).
fof(f12,negated_conjecture,
! [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,negated_conjecture,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_top_12) ).
fof(f16,negated_conjecture,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',def_zero_13) ).
fof(f17,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
sk2 = join(sk1,sk2),
inference(reorient_equations,[],[f17]) ).
fof(f19,negated_conjecture,
join(sk1,sk3) = sk3,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_15) ).
fof(f20,plain,
sk3 = join(sk1,sk3),
inference(reorient_equations,[],[f19]) ).
fof(f21,negated_conjecture,
join(sk1,meet(sk2,sk3)) != meet(sk2,sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_16) ).
fof(f22,plain,
meet(sk2,sk3) != join(sk1,meet(sk2,sk3)),
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(sk2),complement(sk3))) != join(sk1,complement(join(complement(sk2),complement(sk3)))),
inference(definition_unfolding,[],[f22,f6,f6]) ).
fof(f25,definition,
sF0 = join(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f26,plain,
join(sk1,sk2) = sF0,
inference(reorient_equations,[],[f25]) ).
fof(f27,plain,
sk2 = sF0,
inference(definition_folding,[],[f18,f26]) ).
fof(f28,definition,
sF1 = join(sk1,sk3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f29,plain,
join(sk1,sk3) = sF1,
inference(reorient_equations,[],[f28]) ).
fof(f30,plain,
sk3 = sF1,
inference(definition_folding,[],[f20,f29]) ).
fof(f31,definition,
sF2 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f32,plain,
complement(sk2) = sF2,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF3 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f34,plain,
complement(sk3) = 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 = join(sk1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f40,plain,
join(sk1,sF5) = 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,
sk2 = join(sk1,sk2),
inference(forward_demodulation,[],[f26,f27]) ).
fof(f46,plain,
sk3 = join(sk1,sk3),
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(f58,plain,
! [X0] : join(complement(join(complement(X0),sF4)),complement(join(sF5,complement(X0)))) = X0,
inference(forward_demodulation,[],[f51,f1]) ).
fof(f62,plain,
! [X0] : join(complement(join(sF5,complement(X0))),complement(join(complement(X0),sF4))) = X0,
inference(forward_demodulation,[],[f58,f1]) ).
fof(f66,plain,
! [X0] : join(complement(join(sF5,complement(X0))),complement(join(sF4,complement(X0)))) = X0,
inference(forward_demodulation,[],[f62,f1]) ).
fof(f69,plain,
! [X0] : join(complement(join(sF4,complement(X0))),complement(join(sF5,complement(X0)))) = X0,
inference(forward_demodulation,[],[f66,f1]) ).
fof(f80,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f44,f15]) ).
fof(f81,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f80,f42]) ).
fof(f89,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f44,f1]) ).
fof(f94,plain,
top = join(top,zero),
inference(superposition,[],[f15,f42]) ).
fof(f102,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(superposition,[],[f2,f15]) ).
fof(f104,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f112,plain,
! [X0] : join(sF2,join(sF3,X0)) = join(sF4,X0),
inference(superposition,[],[f2,f36]) ).
fof(f118,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f304,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f89,f15]) ).
fof(f320,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f304,f1]) ).
fof(f338,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f320,f1]) ).
fof(f348,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f338,f42]) ).
fof(f354,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f81,f348]) ).
fof(f365,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(backward_demodulation,[],[f348,f354]) ).
fof(f387,plain,
top = complement(zero),
inference(superposition,[],[f354,f42]) ).
fof(f393,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(X1)))),
inference(superposition,[],[f44,f354]) ).
fof(f396,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f89,f354]) ).
fof(f419,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(superposition,[],[f393,f1]) ).
fof(f429,plain,
complement(sk1) = join(complement(sk3),complement(join(sk1,complement(sk3)))),
inference(superposition,[],[f393,f46]) ).
fof(f430,plain,
complement(sk1) = join(complement(sk2),complement(join(sk1,complement(sk2)))),
inference(superposition,[],[f393,f45]) ).
fof(f441,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(join(complement(join(X0,X1)),join(X0,complement(X1)))),complement(complement(X0))),
inference(superposition,[],[f393,f393]) ).
fof(f448,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,[],[f441,f1]) ).
fof(f455,plain,
complement(sk1) = join(sF2,complement(join(sk1,sF2))),
inference(forward_demodulation,[],[f430,f32]) ).
fof(f456,plain,
complement(sk1) = join(sF3,complement(join(sk1,sF3))),
inference(forward_demodulation,[],[f429,f34]) ).
fof(f467,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,[],[f448,f1]) ).
fof(f470,plain,
complement(sk1) = join(sF2,complement(join(sF2,sk1))),
inference(forward_demodulation,[],[f455,f1]) ).
fof(f471,plain,
complement(sk1) = join(sF3,complement(join(sF3,sk1))),
inference(forward_demodulation,[],[f456,f1]) ).
fof(f477,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,[],[f467,f2]) ).
fof(f481,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f477,f354]) ).
fof(f483,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f481,f354]) ).
fof(f597,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f624,plain,
! [X0,X1] : join(top,X1) = join(complement(X0),join(X0,X1)),
inference(superposition,[],[f104,f15]) ).
fof(f678,plain,
! [X0,X1] : join(top,X1) = join(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f624,f118]) ).
fof(f717,plain,
! [X0,X1] : join(top,complement(join(X0,complement(X1)))) = join(join(X0,X1),complement(X0)),
inference(superposition,[],[f102,f393]) ).
fof(f750,plain,
! [X0,X1] : join(complement(X0),join(X0,X1)) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f717,f1]) ).
fof(f763,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f750,f118]) ).
fof(f767,plain,
! [X0,X1] : join(top,X1) = join(top,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f763,f678]) ).
fof(f890,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(join(X0,X0)),complement(zero)))),
inference(superposition,[],[f419,f365]) ).
fof(f916,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,[],[f396,f419]) ).
fof(f930,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,[],[f916,f1]) ).
fof(f944,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(complement(zero),complement(join(X0,X0))))),
inference(forward_demodulation,[],[f890,f1]) ).
fof(f957,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,[],[f930,f1]) ).
fof(f967,plain,
! [X0] : complement(complement(join(X0,X0))) = join(complement(complement(X0)),complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f944,f387]) ).
fof(f975,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,[],[f957,f2]) ).
fof(f983,plain,
! [X0] : complement(complement(join(X0,X0))) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f967,f354]) ).
fof(f990,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f975,f354]) ).
fof(f995,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(top,complement(join(X0,X0))))),
inference(forward_demodulation,[],[f983,f354]) ).
fof(f1002,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f990,f354]) ).
fof(f1128,plain,
! [X0] : join(top,complement(join(sF5,complement(X0)))) = join(join(sF4,complement(X0)),X0),
inference(superposition,[],[f102,f69]) ).
fof(f1147,plain,
! [X0] : join(top,complement(join(sF5,complement(X0)))) = join(X0,join(sF4,complement(X0))),
inference(forward_demodulation,[],[f1128,f1]) ).
fof(f1165,plain,
! [X0] : join(top,complement(join(sF5,complement(X0)))) = join(top,sF4),
inference(forward_demodulation,[],[f1147,f678]) ).
fof(f1178,plain,
! [X0] : join(sF4,top) = join(top,complement(join(sF5,complement(X0)))),
inference(forward_demodulation,[],[f1165,f1]) ).
fof(f1188,plain,
! [X0] : join(top,X0) = join(sF4,top),
inference(forward_demodulation,[],[f1178,f767]) ).
fof(f1219,plain,
! [X0] : join(X0,X0) = join(X0,complement(join(sF4,top))),
inference(backward_demodulation,[],[f995,f1188]) ).
fof(f1221,plain,
top = join(sF4,top),
inference(backward_demodulation,[],[f94,f1188]) ).
fof(f1223,plain,
! [X0] : join(X0,X0) = join(X0,complement(top)),
inference(forward_demodulation,[],[f1219,f1221]) ).
fof(f1252,plain,
! [X0] : join(X0,X0) = join(X0,zero),
inference(forward_demodulation,[],[f1223,f42]) ).
fof(f1285,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X1,join(X0,zero)),
inference(superposition,[],[f118,f1252]) ).
fof(f1286,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,join(X0,zero)),
inference(superposition,[],[f118,f1252]) ).
fof(f1303,plain,
! [X0] : join(zero,X0) = join(X0,X0),
inference(superposition,[],[f1,f1252]) ).
fof(f1399,plain,
! [X0,X1] : join(X0,join(X1,zero)) = join(X1,join(X0,X0)),
inference(superposition,[],[f118,f1303]) ).
fof(f2051,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f597,f8]) ).
fof(f2067,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f2051,f10]) ).
fof(f2774,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f43,f2067]) ).
fof(f2782,plain,
one = converse(one),
inference(superposition,[],[f8,f2067]) ).
fof(f2787,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f2067,f2782]) ).
fof(f2794,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f2774,f2787]) ).
fof(f2800,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[],[f2794,f1252]) ).
fof(f2802,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f2800,f1]) ).
fof(f2805,plain,
! [X0] : complement(X0) = complement(join(X0,X0)),
inference(backward_demodulation,[],[f365,f2802]) ).
fof(f2893,plain,
! [X0] : complement(complement(X0)) = join(X0,X0),
inference(superposition,[],[f354,f2805]) ).
fof(f2902,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[],[f2893,f354]) ).
fof(f2930,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,zero)),
inference(backward_demodulation,[],[f1399,f2902]) ).
fof(f2963,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(backward_demodulation,[],[f1285,f2930]) ).
fof(f2964,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(backward_demodulation,[],[f1286,f2930]) ).
fof(f3657,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f2963,f396]) ).
fof(f3658,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f2963,f419]) ).
fof(f3729,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f3658,f1]) ).
fof(f3730,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f3657,f1]) ).
fof(f3746,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f483,f3729]) ).
fof(f3753,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f1002,f3746]) ).
fof(f3756,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f3753,f2964]) ).
fof(f3824,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f3756,f1]) ).
fof(f3939,plain,
complement(sk1) = join(sF2,complement(sk1)),
inference(backward_demodulation,[],[f470,f3824]) ).
fof(f3940,plain,
complement(sk1) = join(sF3,complement(sk1)),
inference(backward_demodulation,[],[f471,f3824]) ).
fof(f4943,plain,
join(sF2,complement(sk1)) = join(sF4,complement(sk1)),
inference(superposition,[],[f112,f3940]) ).
fof(f4968,plain,
complement(sk1) = join(sF4,complement(sk1)),
inference(forward_demodulation,[],[f4943,f3939]) ).
fof(f6704,plain,
complement(sF4) = join(complement(sF4),complement(complement(sk1))),
inference(superposition,[],[f3730,f4968]) ).
fof(f6707,plain,
complement(sF4) = join(complement(sF4),sk1),
inference(forward_demodulation,[],[f6704,f354]) ).
fof(f6718,plain,
complement(sF4) = join(sk1,complement(sF4)),
inference(forward_demodulation,[],[f6707,f1]) ).
fof(f6726,plain,
sF5 = join(sk1,sF5),
inference(forward_demodulation,[],[f6718,f38]) ).
fof(f6733,plain,
sF5 = sF6,
inference(backward_demodulation,[],[f40,f6726]) ).
fof(f6739,plain,
$false,
inference(forward_subsumption_resolution,[],[f6733,f41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL047-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n017.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Sun Sep 27 22:52:36 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.62/3.04 % (3048862)Detected a unit-equality problem, will run specialized UEQ schedule.
% 12.62/3.04 % (3048897)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=1360611957:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 12.62/3.04 % (3048896)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=3543342609:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 12.62/3.04 % (3048894)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4037024948:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 12.62/3.04 % (3048892)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=1536610109:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 12.62/3.04 % (3048898)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1639874973:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 12.62/3.04 % (3048895)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2000229776:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 12.62/3.04 % (3048893)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=1593202735:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 12.62/3.04 % (3048897)Instruction limit reached!
% 12.62/3.04 % (3048897)------------------------------
% 12.62/3.04 % (3048897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048897)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048897)Termination reason: Instruction limit
% 12.62/3.04 % (3048897)Termination phase: Saturation
% 12.62/3.04 % (3048897)Time elapsed: 0.122 s
% 12.62/3.04 % (3048897)Peak memory usage: 90 MB
% 12.62/3.04 % (3048897)Instructions burned: 257 (million)
% 12.62/3.04 % (3048895)Instruction limit reached!
% 12.62/3.04 % (3048895)------------------------------
% 12.62/3.04 % (3048895)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048895)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048895)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048895)Termination reason: Instruction limit
% 12.62/3.04 % (3048895)Termination phase: Saturation
% 12.62/3.04 % (3048895)Time elapsed: 0.137 s
% 12.62/3.04 % (3048895)Peak memory usage: 89 MB
% 12.62/3.04 % (3048895)Instructions burned: 136 (million)
% 12.62/3.04 % (3048896)Instruction limit reached!
% 12.62/3.04 % (3048896)------------------------------
% 12.62/3.04 % (3048896)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048896)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048896)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048896)Termination reason: Instruction limit
% 12.62/3.04 % (3048896)Termination phase: Saturation
% 12.62/3.04 % (3048896)Time elapsed: 0.178 s
% 12.62/3.04 % (3048896)Peak memory usage: 89 MB
% 12.62/3.04 % (3048896)Instructions burned: 182 (million)
% 12.62/3.04 % (3048910)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1914255997:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 12.62/3.04 % (3048914)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1779710516:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 12.62/3.04 % (3048916)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3347282697:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 12.62/3.04 % (3048916)Instruction limit reached!
% 12.62/3.04 % (3048916)------------------------------
% 12.62/3.04 % (3048916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048916)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048916)Termination reason: Instruction limit
% 12.62/3.04 % (3048916)Termination phase: Saturation
% 12.62/3.04 % (3048916)Time elapsed: 0.212 s
% 12.62/3.04 % (3048916)Peak memory usage: 93 MB
% 12.62/3.04 % (3048916)Instructions burned: 215 (million)
% 12.62/3.04 % (3048923)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=2066205876: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)
% 12.62/3.04 % (3048898)Instruction limit reached!
% 12.62/3.04 % (3048898)------------------------------
% 12.62/3.04 % (3048898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048898)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048898)Termination reason: Instruction limit
% 12.62/3.04 % (3048898)Termination phase: Saturation
% 12.62/3.04 % (3048898)Time elapsed: 0.989 s
% 12.62/3.04 % (3048898)Peak memory usage: 101 MB
% 12.62/3.04 % (3048898)Instructions burned: 1187 (million)
% 12.62/3.04 % (3048923)Instruction limit reached!
% 12.62/3.04 % (3048923)------------------------------
% 12.62/3.04 % (3048923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.62/3.04 % (3048923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.62/3.04 % (3048923)CaDiCaL version: 2.1.3
% 12.62/3.04 % (3048923)Termination reason: Instruction limit
% 12.62/3.04 % (3048923)Termination phase: Saturation
% 12.62/3.04 % (3048923)Time elapsed: 0.319 s
% 12.62/3.04 % (3048923)Peak memory usage: 92 MB
% 12.62/3.04 % (3048923)Instructions burned: 317 (million)
% 12.62/3.04 % (3048930)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=153842154:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 12.62/3.04 % (3048932)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=886580867:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2986 on theBenchmark for (2986ds/2836Mi)
% 12.62/3.04 % (3048894)First to succeed.
% 12.62/3.04 % (3048894)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3048862"
% 12.62/3.04 % (3048894)Refutation found. Thanks to Tanya!
% 12.62/3.04 % SZS status Unsatisfiable for theBenchmark
% 12.62/3.04 % SZS output start Proof for theBenchmark
% See solution above
% 15.04/3.23 % (3048894)------------------------------
% 15.04/3.23 % (3048894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.04/3.23 % (3048894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.04/3.23 % (3048894)CaDiCaL version: 2.1.3
% 15.04/3.23 % (3048894)Termination reason: Refutation
% 15.04/3.23 % (3048894)Time elapsed: 1.558 s
% 15.04/3.23 % (3048894)Peak memory usage: 134 MB
% 15.04/3.23 % (3048894)Instructions burned: 1595 (million)
% 15.04/3.23 % (3048894)------------------------------
% 15.04/3.23 % (3048894)------------------------------
% 15.04/3.23 % (3048862)Success in time 2.028 s
% 15.04/3.23 % Vampire exiting
%------------------------------------------------------------------------------