%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : REL038-1 : 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 : n009.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 12:34:02 PM UTC 2026
% Result : Unsatisfiable 9.47s 2.13s
% Output : Refutation 9.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 29
% Syntax : Number of formulae : 148 ( 148 unt; 16 def)
% Number of atoms : 148 ( 147 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 27 ( 27 usr; 22 con; 0-2 aty)
% Number of variables : 135 ( 135 !; 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(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,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(meet(composition(sk1,sk2),sk3),meet(composition(sk1,meet(sk2,composition(converse(sk1),sk3))),sk3)) != meet(composition(sk1,meet(sk2,composition(converse(sk1),sk3))),sk3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals_14) ).
fof(f18,plain,
meet(composition(sk1,meet(sk2,composition(converse(sk1),sk3))),sk3) != join(meet(composition(sk1,sk2),sk3),meet(composition(sk1,meet(sk2,composition(converse(sk1),sk3))),sk3)),
inference(reorient_equations,[],[f17]) ).
fof(f19,plain,
! [X0] : zero = complement(join(complement(X0),complement(complement(X0)))),
inference(definition_unfolding,[],[f16,f6]) ).
fof(f20,plain,
complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))))),complement(sk3))) != join(complement(join(complement(composition(sk1,sk2)),complement(sk3))),complement(join(complement(composition(sk1,complement(join(complement(sk2),complement(composition(converse(sk1),sk3)))))),complement(sk3)))),
inference(definition_unfolding,[],[f18,f6,f6,f6,f6,f6]) ).
fof(f21,definition,
sF0 = complement(sk2),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f22,plain,
complement(sk2) = sF0,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF1 = converse(sk1),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f24,plain,
converse(sk1) = sF1,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF2 = composition(sF1,sk3),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f26,plain,
composition(sF1,sk3) = sF2,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF3 = complement(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f28,plain,
complement(sF2) = sF3,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF4 = join(sF0,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f30,plain,
join(sF0,sF3) = sF4,
inference(reorient_equations,[],[f29]) ).
fof(f31,definition,
sF5 = complement(sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f32,plain,
complement(sF4) = sF5,
inference(reorient_equations,[],[f31]) ).
fof(f33,definition,
sF6 = composition(sk1,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f34,plain,
composition(sk1,sF5) = sF6,
inference(reorient_equations,[],[f33]) ).
fof(f35,definition,
sF7 = complement(sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f36,plain,
complement(sF6) = sF7,
inference(reorient_equations,[],[f35]) ).
fof(f37,definition,
sF8 = complement(sk3),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f38,plain,
complement(sk3) = sF8,
inference(reorient_equations,[],[f37]) ).
fof(f39,definition,
sF9 = join(sF7,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f40,plain,
join(sF7,sF8) = sF9,
inference(reorient_equations,[],[f39]) ).
fof(f41,definition,
sF10 = complement(sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f42,plain,
complement(sF9) = sF10,
inference(reorient_equations,[],[f41]) ).
fof(f43,definition,
sF11 = composition(sk1,sk2),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f44,plain,
composition(sk1,sk2) = sF11,
inference(reorient_equations,[],[f43]) ).
fof(f45,definition,
sF12 = complement(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f46,plain,
complement(sF11) = sF12,
inference(reorient_equations,[],[f45]) ).
fof(f47,definition,
sF13 = join(sF12,sF8),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f48,plain,
join(sF12,sF8) = sF13,
inference(reorient_equations,[],[f47]) ).
fof(f49,definition,
sF14 = complement(sF13),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f50,plain,
complement(sF13) = sF14,
inference(reorient_equations,[],[f49]) ).
fof(f51,definition,
sF15 = join(sF14,sF10),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f52,plain,
join(sF14,sF10) = sF15,
inference(reorient_equations,[],[f51]) ).
fof(f53,plain,
sF10 != sF15,
inference(definition_folding,[],[f20,f52,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22,f50,f48,f38,f46,f44,f42,f40,f38,f36,f34,f32,f30,f28,f26,f24,f22]) ).
fof(f54,plain,
zero = complement(top),
inference(backward_demodulation,[],[f19,f15]) ).
fof(f55,plain,
! [X0,X1] : complement(X1) = join(complement(X1),composition(converse(X0),complement(composition(X0,X1)))),
inference(backward_demodulation,[],[f14,f1]) ).
fof(f56,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))) = X0,
inference(backward_demodulation,[],[f4,f1]) ).
fof(f57,plain,
sF9 = join(sF8,sF7),
inference(forward_demodulation,[],[f40,f1]) ).
fof(f58,plain,
sF13 = join(sF8,sF12),
inference(forward_demodulation,[],[f48,f1]) ).
fof(f124,plain,
! [X0] : join(complement(top),complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(superposition,[],[f56,f15]) ).
fof(f125,plain,
! [X0] : join(zero,complement(join(complement(X0),complement(complement(complement(X0)))))) = X0,
inference(forward_demodulation,[],[f124,f54]) ).
fof(f150,plain,
complement(sk3) = join(complement(sk3),composition(converse(sF1),complement(sF2))),
inference(superposition,[],[f55,f26]) ).
fof(f152,plain,
complement(sk3) = join(complement(sk3),composition(converse(sF1),sF3)),
inference(forward_demodulation,[],[f150,f28]) ).
fof(f155,plain,
sF8 = join(sF8,composition(converse(sF1),sF3)),
inference(forward_demodulation,[],[f152,f38]) ).
fof(f168,plain,
! [X0,X1] : join(complement(join(complement(X1),X0)),complement(join(complement(X0),complement(X1)))) = X1,
inference(superposition,[],[f56,f1]) ).
fof(f175,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(f179,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f194,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f199,plain,
sk1 = converse(sF1),
inference(superposition,[],[f10,f24]) ).
fof(f200,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(superposition,[],[f12,f10]) ).
fof(f205,plain,
sF8 = join(sF8,composition(sk1,sF3)),
inference(backward_demodulation,[],[f155,f199]) ).
fof(f278,plain,
! [X0] : complement(X0) = join(complement(join(complement(complement(X0)),X0)),complement(top)),
inference(superposition,[],[f168,f15]) ).
fof(f285,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(complement(complement(X0)),X0))),
inference(forward_demodulation,[],[f278,f1]) ).
fof(f311,plain,
! [X0] : complement(X0) = join(complement(top),complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f285,f1]) ).
fof(f325,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(forward_demodulation,[],[f311,f54]) ).
fof(f335,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f125,f325]) ).
fof(f350,plain,
sk2 = complement(sF0),
inference(superposition,[],[f335,f22]) ).
fof(f356,plain,
sF11 = complement(sF12),
inference(superposition,[],[f335,f46]) ).
fof(f357,plain,
sF13 = complement(sF14),
inference(superposition,[],[f335,f50]) ).
fof(f363,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(complement(X1),X0))),
inference(superposition,[],[f168,f335]) ).
fof(f385,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(complement(join(complement(X1),X0))),complement(join(X0,X1))))),
inference(superposition,[],[f363,f363]) ).
fof(f394,plain,
! [X0,X1] : complement(X1) = join(complement(join(X1,complement(X0))),complement(join(X0,X1))),
inference(superposition,[],[f363,f335]) ).
fof(f414,plain,
! [X0,X1] : complement(X1) = join(complement(join(X0,X1)),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f394,f1]) ).
fof(f421,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),complement(complement(join(complement(X1),X0)))))),
inference(forward_demodulation,[],[f385,f1]) ).
fof(f435,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(complement(join(X0,X1)),join(complement(X1),X0)))),
inference(forward_demodulation,[],[f421,f335]) ).
fof(f446,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,join(complement(join(X0,X1)),complement(X1))))),
inference(forward_demodulation,[],[f435,f194]) ).
fof(f455,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,[],[f446,f1]) ).
fof(f457,plain,
! [X0,X1] : complement(complement(join(X0,X1))) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f455,f335]) ).
fof(f458,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,join(complement(X1),complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f457,f335]) ).
fof(f560,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(superposition,[],[f200,f8]) ).
fof(f571,plain,
! [X0] : composition(converse(one),X0) = X0,
inference(forward_demodulation,[],[f560,f10]) ).
fof(f618,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,[],[f363,f414]) ).
fof(f626,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,[],[f618,f1]) ).
fof(f648,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,[],[f626,f1]) ).
fof(f668,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,[],[f648,f2]) ).
fof(f684,plain,
! [X0,X1] : complement(complement(join(X0,complement(X1)))) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f668,f335]) ).
fof(f696,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,complement(join(X0,complement(X1))))))),
inference(forward_demodulation,[],[f684,f335]) ).
fof(f828,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = join(converse(composition(X0,X2)),converse(composition(X0,X1))),
inference(superposition,[],[f175,f12]) ).
fof(f841,plain,
! [X2,X0,X1] : composition(join(converse(X2),converse(X1)),converse(X0)) = converse(join(composition(X0,X2),composition(X0,X1))),
inference(forward_demodulation,[],[f828,f11]) ).
fof(f852,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = composition(converse(join(X2,X1)),converse(X0)),
inference(forward_demodulation,[],[f841,f11]) ).
fof(f856,plain,
! [X2,X0,X1] : converse(join(composition(X0,X2),composition(X0,X1))) = converse(composition(X0,join(X2,X1))),
inference(forward_demodulation,[],[f852,f12]) ).
fof(f927,plain,
! [X0] : join(sF8,X0) = join(composition(sk1,sF3),join(sF8,X0)),
inference(superposition,[],[f179,f205]) ).
fof(f957,plain,
! [X0] : join(sF8,X0) = join(sF8,join(X0,composition(sk1,sF3))),
inference(forward_demodulation,[],[f927,f194]) ).
fof(f984,plain,
! [X0] : complement(X0) = join(complement(X0),complement(composition(one,X0))),
inference(superposition,[],[f55,f571]) ).
fof(f992,plain,
one = converse(one),
inference(superposition,[],[f8,f571]) ).
fof(f996,plain,
! [X0] : composition(one,X0) = X0,
inference(backward_demodulation,[],[f571,f992]) ).
fof(f1003,plain,
! [X0] : complement(X0) = join(complement(X0),complement(X0)),
inference(backward_demodulation,[],[f984,f996]) ).
fof(f1023,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f1003,f335]) ).
fof(f1144,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X0,X1)),
inference(superposition,[],[f194,f1023]) ).
fof(f1145,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(superposition,[],[f194,f1023]) ).
fof(f1461,plain,
! [X2,X0,X1] : join(composition(X0,X1),composition(X0,X2)) = converse(converse(composition(X0,join(X1,X2)))),
inference(superposition,[],[f10,f856]) ).
fof(f1476,plain,
! [X2,X0,X1] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[],[f1461,f10]) ).
fof(f1535,plain,
! [X0] : composition(sk1,join(X0,sF5)) = join(composition(sk1,X0),sF6),
inference(superposition,[],[f1476,f34]) ).
fof(f1536,plain,
! [X0] : composition(sk1,join(X0,sk2)) = join(composition(sk1,X0),sF11),
inference(superposition,[],[f1476,f44]) ).
fof(f1560,plain,
! [X0] : join(sF11,composition(sk1,X0)) = composition(sk1,join(X0,sk2)),
inference(forward_demodulation,[],[f1536,f1]) ).
fof(f1561,plain,
! [X0] : join(sF6,composition(sk1,X0)) = composition(sk1,join(X0,sF5)),
inference(forward_demodulation,[],[f1535,f1]) ).
fof(f1722,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),complement(join(X1,X0))) = join(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f1144,f414]) ).
fof(f1736,plain,
join(sF12,sF8) = join(sF8,sF13),
inference(superposition,[],[f1144,f58]) ).
fof(f1779,plain,
join(sF8,sF12) = join(sF8,sF13),
inference(forward_demodulation,[],[f1736,f1]) ).
fof(f1792,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(join(X0,complement(X1))),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1722,f1]) ).
fof(f1818,plain,
sF13 = join(sF8,sF13),
inference(forward_demodulation,[],[f1779,f58]) ).
fof(f1831,plain,
! [X0,X1] : join(complement(X0),complement(join(X1,X0))) = join(complement(join(X1,X0)),complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f1792,f1]) ).
fof(f1847,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f1831,f414]) ).
fof(f1875,plain,
! [X0,X1] : join(X0,X1) = join(X0,complement(join(X0,complement(X1)))),
inference(backward_demodulation,[],[f458,f1847]) ).
fof(f1895,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,join(X0,X1)))),
inference(backward_demodulation,[],[f696,f1875]) ).
fof(f1906,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1895,f1145]) ).
fof(f1929,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f1906,f1]) ).
fof(f1955,plain,
join(sF8,complement(sF12)) = join(sF8,complement(sF13)),
inference(superposition,[],[f1906,f58]) ).
fof(f2002,plain,
join(sF8,complement(sF12)) = join(sF8,sF14),
inference(forward_demodulation,[],[f1955,f50]) ).
fof(f2033,plain,
join(sF8,sF11) = join(sF8,sF14),
inference(forward_demodulation,[],[f2002,f356]) ).
fof(f2601,plain,
join(sF3,complement(sF0)) = join(sF3,complement(sF4)),
inference(superposition,[],[f1929,f30]) ).
fof(f2676,plain,
join(sF3,complement(sF0)) = join(sF3,sF5),
inference(forward_demodulation,[],[f2601,f32]) ).
fof(f2714,plain,
join(sF3,sk2) = join(sF3,sF5),
inference(forward_demodulation,[],[f2676,f350]) ).
fof(f4500,plain,
join(sF11,composition(sk1,sF3)) = composition(sk1,join(sF3,sF5)),
inference(superposition,[],[f1560,f2714]) ).
fof(f4519,plain,
join(sF11,composition(sk1,sF3)) = join(sF6,composition(sk1,sF3)),
inference(forward_demodulation,[],[f4500,f1561]) ).
fof(f8290,plain,
join(sF8,sF11) = join(sF8,join(sF6,composition(sk1,sF3))),
inference(superposition,[],[f957,f4519]) ).
fof(f8347,plain,
join(sF8,sF6) = join(sF8,sF11),
inference(forward_demodulation,[],[f8290,f957]) ).
fof(f8366,plain,
join(sF8,sF6) = join(sF8,sF14),
inference(backward_demodulation,[],[f2033,f8347]) ).
fof(f8392,plain,
join(sF8,complement(sF14)) = join(sF8,complement(join(sF8,sF6))),
inference(superposition,[],[f1906,f8366]) ).
fof(f8401,plain,
join(sF8,complement(sF14)) = join(sF8,complement(sF6)),
inference(forward_demodulation,[],[f8392,f1906]) ).
fof(f8417,plain,
join(sF8,sF7) = join(sF8,complement(sF14)),
inference(forward_demodulation,[],[f8401,f36]) ).
fof(f8429,plain,
join(sF8,sF7) = join(sF8,sF13),
inference(forward_demodulation,[],[f8417,f357]) ).
fof(f8438,plain,
sF13 = join(sF8,sF7),
inference(forward_demodulation,[],[f8429,f1818]) ).
fof(f8445,plain,
sF9 = sF13,
inference(forward_demodulation,[],[f8438,f57]) ).
fof(f8451,plain,
complement(sF9) = sF14,
inference(backward_demodulation,[],[f50,f8445]) ).
fof(f8522,plain,
sF10 = sF14,
inference(backward_demodulation,[],[f42,f8451]) ).
fof(f8529,plain,
sF15 = join(sF14,sF14),
inference(backward_demodulation,[],[f52,f8522]) ).
fof(f8530,plain,
sF14 != sF15,
inference(backward_demodulation,[],[f53,f8522]) ).
fof(f8619,plain,
sF14 = sF15,
inference(forward_demodulation,[],[f8529,f1023]) ).
fof(f8633,plain,
$false,
inference(forward_subsumption_resolution,[],[f8619,f8530]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL038-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n009.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 22:55:45 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 8.70/2.13 % (2497460)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.70/2.13 % (2497465)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=3833993056:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.70/2.13 % (2497468)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3108849008:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.70/2.13 % (2497466)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=578754415:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.70/2.13 % (2497470)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2319505850:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.70/2.13 % (2497467)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=1381341158:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.70/2.13 % (2497471)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3328064577:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.70/2.13 % (2497469)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1961612706:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.70/2.13 % (2497468)Instruction limit reached!
% 8.70/2.13 % (2497468)------------------------------
% 8.70/2.13 % (2497468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (2497468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (2497468)CaDiCaL version: 2.1.3
% 8.70/2.13 % (2497468)Termination reason: Instruction limit
% 8.70/2.13 % (2497468)Termination phase: Saturation
% 8.70/2.13 % (2497468)Time elapsed: 0.082 s
% 8.70/2.13 % (2497468)Peak memory usage: 89 MB
% 8.70/2.13 % (2497468)Instructions burned: 136 (million)
% 8.70/2.13 % (2497469)Instruction limit reached!
% 8.70/2.13 % (2497469)------------------------------
% 8.70/2.13 % (2497469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (2497469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (2497469)CaDiCaL version: 2.1.3
% 8.70/2.13 % (2497469)Termination reason: Instruction limit
% 8.70/2.13 % (2497469)Termination phase: Saturation
% 8.70/2.13 % (2497469)Time elapsed: 0.102 s
% 8.70/2.13 % (2497469)Peak memory usage: 90 MB
% 8.70/2.13 % (2497469)Instructions burned: 183 (million)
% 8.70/2.13 % (2497470)Instruction limit reached!
% 8.70/2.13 % (2497470)------------------------------
% 8.70/2.13 % (2497470)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (2497470)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (2497470)CaDiCaL version: 2.1.3
% 8.70/2.13 % (2497470)Termination reason: Instruction limit
% 8.70/2.13 % (2497470)Termination phase: Saturation
% 8.70/2.13 % (2497470)Time elapsed: 0.175 s
% 8.70/2.13 % (2497470)Peak memory usage: 90 MB
% 8.70/2.13 % (2497470)Instructions burned: 257 (million)
% 8.70/2.13 % (2497479)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1354135958:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.70/2.13 % (2497480)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3287723055:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.70/2.13 % (2497481)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2282456210:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 8.70/2.13 % (2497481)Instruction limit reached!
% 8.70/2.13 % (2497481)------------------------------
% 8.70/2.13 % (2497481)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.70/2.13 % (2497481)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.70/2.13 % (2497481)CaDiCaL version: 2.1.3
% 8.70/2.13 % (2497481)Termination reason: Instruction limit
% 8.70/2.13 % (2497481)Termination phase: Saturation
% 8.70/2.13 % (2497481)Time elapsed: 0.111 s
% 9.47/2.13 % (2497481)Peak memory usage: 89 MB
% 9.47/2.13 % (2497481)Instructions burned: 216 (million)
% 9.47/2.13 % (2497485)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=3544182850: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)
% 9.47/2.13 % (2497471)Instruction limit reached!
% 9.47/2.13 % (2497471)------------------------------
% 9.47/2.13 % (2497471)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.13 % (2497471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.13 % (2497471)CaDiCaL version: 2.1.3
% 9.47/2.13 % (2497471)Termination reason: Instruction limit
% 9.47/2.13 % (2497471)Termination phase: Saturation
% 9.47/2.13 % (2497471)Time elapsed: 0.646 s
% 9.47/2.13 % (2497471)Peak memory usage: 99 MB
% 9.47/2.13 % (2497471)Instructions burned: 1188 (million)
% 9.47/2.13 % (2497485)Instruction limit reached!
% 9.47/2.13 % (2497485)------------------------------
% 9.47/2.13 % (2497485)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.47/2.13 % (2497485)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.47/2.13 % (2497485)CaDiCaL version: 2.1.3
% 9.47/2.13 % (2497485)Termination reason: Instruction limit
% 9.47/2.13 % (2497485)Termination phase: Saturation
% 9.47/2.13 % (2497485)Time elapsed: 0.199 s
% 9.47/2.13 % (2497485)Peak memory usage: 93 MB
% 9.47/2.13 % (2497485)Instructions burned: 317 (million)
% 9.47/2.13 % (2497487)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=1116067614:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 9.47/2.13 % (2497488)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1584702355:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 9.47/2.13 % (2497467)First to succeed.
% 9.47/2.13 % (2497467)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2497460"
% 9.47/2.13 % (2497467)Refutation found. Thanks to Tanya!
% 9.47/2.13 % SZS status Unsatisfiable for theBenchmark
% 9.47/2.13 % SZS output start Proof for theBenchmark
% See solution above
% 9.63/2.32 % (2497467)------------------------------
% 9.63/2.32 % (2497467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.63/2.32 % (2497467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.63/2.32 % (2497467)CaDiCaL version: 2.1.3
% 9.63/2.32 % (2497467)Termination reason: Refutation
% 9.63/2.32 % (2497467)Time elapsed: 0.968 s
% 9.63/2.32 % (2497467)Peak memory usage: 136 MB
% 9.63/2.32 % (2497467)Instructions burned: 1850 (million)
% 9.63/2.32 % (2497467)------------------------------
% 9.63/2.32 % (2497467)------------------------------
% 9.63/2.32 % (2497460)Success in time 1.278 s
% 9.63/2.32 % Vampire exiting
%------------------------------------------------------------------------------