%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT023-1 : TPTP v9.3.1. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 11:45:51 AM UTC 2026
% Result : Unsatisfiable 15.97s 3.12s
% Output : Refutation 16.79s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 15
% Syntax : Number of formulae : 334 ( 334 unt; 5 def)
% Number of atoms : 334 ( 333 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 279 ( 279 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f4,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f5,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f6,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : join(meet(X0,join(X1,X2)),meet(X0,X1)) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quasi_lattice1) ).
fof(f8,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,X2)),meet(X0,X1)),
inference(reorient_equations,[],[f7]) ).
fof(f9,axiom,
! [X2,X0,X1] : meet(join(X0,meet(X1,X2)),join(X0,X1)) = join(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',quasi_lattice2) ).
fof(f10,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = meet(join(X0,meet(X1,X2)),join(X0,X1)),
inference(reorient_equations,[],[f9]) ).
fof(f11,axiom,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),X1) = join(meet(join(X2,X1),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',modularity_axiom) ).
fof(f12,negated_conjecture,
meet(a,join(b,meet(a,c))) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_modularity) ).
fof(f13,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f14,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f16,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f18,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF3 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f20,plain,
meet(a,b) = sF3,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF4 = join(sF3,sF0),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f22,plain,
join(sF3,sF0) = sF4,
inference(reorient_equations,[],[f21]) ).
fof(f23,plain,
sF2 != sF4,
inference(definition_folding,[],[f12,f22,f14,f20,f18,f16,f14]) ).
fof(f24,plain,
sF0 = meet(c,a),
inference(forward_demodulation,[],[f14,f3]) ).
fof(f25,plain,
sF3 = meet(b,a),
inference(forward_demodulation,[],[f20,f3]) ).
fof(f26,plain,
sF4 = join(sF3,meet(c,a)),
inference(backward_demodulation,[],[f22,f24]) ).
fof(f27,plain,
sF1 = join(b,meet(c,a)),
inference(backward_demodulation,[],[f16,f24]) ).
fof(f28,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f5,f1]) ).
fof(f30,plain,
! [X2,X0,X1] : meet(X1,meet(X2,X0)) = meet(meet(X2,X1),X0),
inference(superposition,[],[f5,f3]) ).
fof(f32,plain,
! [X0] : meet(a,meet(sF1,X0)) = meet(sF2,X0),
inference(superposition,[],[f5,f18]) ).
fof(f33,plain,
! [X0] : meet(b,meet(a,X0)) = meet(sF3,X0),
inference(superposition,[],[f5,f25]) ).
fof(f38,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X2,X0)),
inference(superposition,[],[f3,f5]) ).
fof(f43,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,meet(X0,X1)),
inference(superposition,[],[f28,f3]) ).
fof(f46,plain,
sF2 = meet(a,sF2),
inference(superposition,[],[f28,f18]) ).
fof(f47,plain,
sF3 = meet(b,sF3),
inference(superposition,[],[f28,f25]) ).
fof(f57,plain,
! [X0] : meet(sF2,X0) = meet(a,meet(sF2,X0)),
inference(superposition,[],[f5,f46]) ).
fof(f59,plain,
! [X0] : meet(sF3,X0) = meet(b,meet(sF3,X0)),
inference(superposition,[],[f5,f47]) ).
fof(f60,plain,
meet(a,sF1) = meet(sF2,sF1),
inference(superposition,[],[f32,f1]) ).
fof(f63,plain,
! [X0] : meet(a,meet(sF1,X0)) = meet(sF2,meet(sF1,X0)),
inference(superposition,[],[f32,f28]) ).
fof(f67,plain,
! [X0] : meet(sF2,X0) = meet(sF2,meet(sF1,X0)),
inference(forward_demodulation,[],[f63,f32]) ).
fof(f68,plain,
sF2 = meet(sF2,sF1),
inference(forward_demodulation,[],[f60,f18]) ).
fof(f72,plain,
meet(sF3,sF1) = meet(b,sF2),
inference(superposition,[],[f33,f18]) ).
fof(f75,plain,
meet(b,a) = meet(sF3,a),
inference(superposition,[],[f33,f1]) ).
fof(f77,plain,
! [X0] : meet(sF3,X0) = meet(b,meet(X0,a)),
inference(superposition,[],[f33,f3]) ).
fof(f83,plain,
meet(b,a) = meet(a,sF3),
inference(forward_demodulation,[],[f75,f3]) ).
fof(f86,plain,
sF3 = meet(a,sF3),
inference(forward_demodulation,[],[f83,f25]) ).
fof(f227,plain,
! [X0] : meet(X0,sF2) = meet(a,meet(X0,sF2)),
inference(superposition,[],[f57,f43]) ).
fof(f240,plain,
! [X0] : meet(X0,sF3) = meet(b,meet(X0,sF3)),
inference(superposition,[],[f59,f43]) ).
fof(f344,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(superposition,[],[f6,f2]) ).
fof(f346,plain,
! [X2,X0,X1] : join(X1,join(X2,X0)) = join(join(X2,X1),X0),
inference(superposition,[],[f6,f4]) ).
fof(f348,plain,
! [X0] : join(b,join(meet(c,a),X0)) = join(sF1,X0),
inference(superposition,[],[f6,f27]) ).
fof(f349,plain,
! [X0] : join(sF3,join(meet(c,a),X0)) = join(sF4,X0),
inference(superposition,[],[f6,f26]) ).
fof(f354,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X1,join(X2,X0)),
inference(superposition,[],[f4,f6]) ).
fof(f366,plain,
! [X2,X0,X1] : join(meet(join(X0,X2),X1),X2) = join(meet(X0,join(X1,X2)),X2),
inference(superposition,[],[f11,f3]) ).
fof(f369,plain,
! [X2,X0,X1] : join(meet(join(X0,X2),X1),X2) = join(X2,meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f366,f4]) ).
fof(f379,plain,
! [X2,X0,X1] : join(X2,meet(join(X0,X2),X1)) = join(X2,meet(X0,join(X1,X2))),
inference(forward_demodulation,[],[f369,f4]) ).
fof(f411,plain,
! [X0,X1] : join(X0,X1) = join(X1,join(X0,X1)),
inference(superposition,[],[f344,f4]) ).
fof(f414,plain,
sF1 = join(b,sF1),
inference(superposition,[],[f344,f27]) ).
fof(f415,plain,
sF4 = join(sF3,sF4),
inference(superposition,[],[f344,f26]) ).
fof(f422,plain,
sF4 = join(sF4,sF3),
inference(forward_demodulation,[],[f415,f4]) ).
fof(f426,plain,
! [X0] : join(sF1,X0) = join(b,join(sF1,X0)),
inference(superposition,[],[f6,f414]) ).
fof(f435,plain,
sF1 = join(meet(c,a),sF1),
inference(superposition,[],[f411,f27]) ).
fof(f446,plain,
sF1 = join(sF1,meet(c,a)),
inference(forward_demodulation,[],[f435,f4]) ).
fof(f462,plain,
! [X0] : join(X0,sF1) = join(b,join(X0,sF1)),
inference(superposition,[],[f426,f411]) ).
fof(f513,plain,
! [X0,X1] : meet(meet(X0,sF2),X1) = meet(meet(X0,sF2),meet(a,X1)),
inference(superposition,[],[f30,f227]) ).
fof(f515,plain,
! [X0,X1] : meet(meet(sF2,X0),X1) = meet(meet(sF2,X0),meet(a,X1)),
inference(superposition,[],[f30,f57]) ).
fof(f524,plain,
! [X0,X1] : meet(meet(X1,sF3),X0) = meet(meet(X1,sF3),meet(b,X0)),
inference(superposition,[],[f30,f240]) ).
fof(f555,plain,
! [X0,X1] : meet(meet(X1,sF3),X0) = meet(X1,meet(sF3,meet(b,X0))),
inference(forward_demodulation,[],[f524,f5]) ).
fof(f564,plain,
! [X0,X1] : meet(meet(sF2,X0),X1) = meet(sF2,meet(X0,meet(a,X1))),
inference(forward_demodulation,[],[f515,f5]) ).
fof(f566,plain,
! [X0,X1] : meet(meet(X0,sF2),X1) = meet(X0,meet(sF2,meet(a,X1))),
inference(forward_demodulation,[],[f513,f5]) ).
fof(f579,plain,
! [X0,X1] : meet(meet(X1,sF3),X0) = meet(X1,meet(b,meet(X0,sF3))),
inference(forward_demodulation,[],[f555,f38]) ).
fof(f583,plain,
! [X0,X1] : meet(sF2,meet(X0,X1)) = meet(sF2,meet(X0,meet(a,X1))),
inference(forward_demodulation,[],[f564,f5]) ).
fof(f585,plain,
! [X0,X1] : meet(meet(X0,sF2),X1) = meet(X0,meet(a,meet(X1,sF2))),
inference(forward_demodulation,[],[f566,f38]) ).
fof(f593,plain,
! [X0,X1] : meet(meet(X1,sF3),X0) = meet(X1,meet(X0,sF3)),
inference(forward_demodulation,[],[f579,f240]) ).
fof(f595,plain,
! [X0,X1] : meet(X0,meet(X1,sF2)) = meet(meet(X0,sF2),X1),
inference(forward_demodulation,[],[f585,f227]) ).
fof(f599,plain,
! [X0,X1] : meet(X1,meet(sF3,X0)) = meet(X1,meet(X0,sF3)),
inference(forward_demodulation,[],[f593,f5]) ).
fof(f600,plain,
! [X0,X1] : meet(X0,meet(X1,sF2)) = meet(X0,meet(sF2,X1)),
inference(forward_demodulation,[],[f595,f5]) ).
fof(f645,plain,
! [X0] : meet(a,meet(sF1,X0)) = meet(X0,sF2),
inference(superposition,[],[f38,f18]) ).
fof(f648,plain,
! [X0] : meet(b,meet(a,X0)) = meet(X0,sF3),
inference(superposition,[],[f38,f25]) ).
fof(f864,plain,
! [X0] : meet(a,meet(X0,sF1)) = meet(X0,sF2),
inference(superposition,[],[f645,f3]) ).
fof(f1089,plain,
! [X0] : join(sF1,X0) = join(meet(c,a),join(b,X0)),
inference(superposition,[],[f346,f27]) ).
fof(f1092,plain,
! [X0,X1] : join(join(X1,sF1),X0) = join(join(X1,sF1),join(b,X0)),
inference(superposition,[],[f346,f462]) ).
fof(f1094,plain,
! [X0] : join(sF4,X0) = join(meet(c,a),join(sF3,X0)),
inference(superposition,[],[f346,f26]) ).
fof(f1119,plain,
! [X0] : join(sF4,X0) = join(sF3,join(X0,meet(c,a))),
inference(forward_demodulation,[],[f1094,f354]) ).
fof(f1121,plain,
! [X0,X1] : join(join(X1,sF1),X0) = join(X1,join(sF1,join(b,X0))),
inference(forward_demodulation,[],[f1092,f6]) ).
fof(f1124,plain,
! [X0] : join(sF1,X0) = join(b,join(X0,meet(c,a))),
inference(forward_demodulation,[],[f1089,f354]) ).
fof(f1132,plain,
! [X0,X1] : join(join(X1,sF1),X0) = join(X1,join(b,join(X0,sF1))),
inference(forward_demodulation,[],[f1121,f354]) ).
fof(f1138,plain,
! [X0,X1] : join(join(X1,sF1),X0) = join(X1,join(X0,sF1)),
inference(forward_demodulation,[],[f1132,f462]) ).
fof(f1140,plain,
! [X0,X1] : join(X1,join(sF1,X0)) = join(X1,join(X0,sF1)),
inference(forward_demodulation,[],[f1138,f6]) ).
fof(f1396,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(X2,join(X0,X1)),meet(X2,X1)),
inference(superposition,[],[f8,f411]) ).
fof(f1402,plain,
! [X0] : meet(X0,sF1) = join(meet(X0,sF1),meet(X0,b)),
inference(superposition,[],[f8,f414]) ).
fof(f1407,plain,
! [X0] : meet(X0,sF4) = join(meet(X0,sF4),meet(X0,sF3)),
inference(superposition,[],[f8,f26]) ).
fof(f1413,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),meet(join(X1,X0),X1)),
inference(superposition,[],[f8,f1]) ).
fof(f1418,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = join(meet(X1,join(X1,X0)),X1),
inference(superposition,[],[f8,f1]) ).
fof(f1434,plain,
! [X0] : meet(a,join(sF3,X0)) = join(meet(a,join(sF3,X0)),sF3),
inference(superposition,[],[f8,f86]) ).
fof(f1446,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,X2),meet(X1,join(X2,X0))),
inference(superposition,[],[f8,f4]) ).
fof(f1458,plain,
! [X0] : meet(a,join(sF3,X0)) = join(sF3,meet(a,join(sF3,X0))),
inference(forward_demodulation,[],[f1434,f4]) ).
fof(f1474,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = join(X1,meet(X1,join(X1,X0))),
inference(forward_demodulation,[],[f1418,f4]) ).
fof(f1479,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,meet(join(X1,X0),X1))),
inference(forward_demodulation,[],[f1413,f6]) ).
fof(f1484,plain,
! [X0] : meet(X0,sF1) = join(meet(X0,b),meet(X0,sF1)),
inference(forward_demodulation,[],[f1402,f4]) ).
fof(f1489,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = join(meet(X2,X1),meet(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1396,f4]) ).
fof(f1495,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f1479,f379]) ).
fof(f1543,plain,
! [X0] : meet(X0,sF4) = join(meet(X0,sF4),meet(sF3,X0)),
inference(superposition,[],[f1407,f3]) ).
fof(f1651,plain,
join(sF4,b) = join(sF3,sF1),
inference(superposition,[],[f1119,f27]) ).
fof(f1662,plain,
! [X0,X1] : join(X1,join(sF4,X0)) = join(join(X0,meet(c,a)),join(X1,sF3)),
inference(superposition,[],[f354,f1119]) ).
fof(f1665,plain,
! [X0,X1] : join(X1,join(sF4,X0)) = join(X0,join(meet(c,a),join(X1,sF3))),
inference(forward_demodulation,[],[f1662,f6]) ).
fof(f1674,plain,
join(sF3,sF1) = join(b,sF4),
inference(forward_demodulation,[],[f1651,f4]) ).
fof(f1677,plain,
! [X0,X1] : join(X1,join(sF4,X0)) = join(X0,join(sF3,join(meet(c,a),X1))),
inference(forward_demodulation,[],[f1665,f354]) ).
fof(f1686,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X1,join(sF4,X0)),
inference(forward_demodulation,[],[f1677,f349]) ).
fof(f1743,plain,
! [X0,X1] : join(X1,join(sF1,X0)) = join(join(X0,meet(c,a)),join(X1,b)),
inference(superposition,[],[f354,f1124]) ).
fof(f1746,plain,
! [X0,X1] : join(X1,join(sF1,X0)) = join(X0,join(meet(c,a),join(X1,b))),
inference(forward_demodulation,[],[f1743,f6]) ).
fof(f1756,plain,
! [X0,X1] : join(X1,join(sF1,X0)) = join(X0,join(b,join(meet(c,a),X1))),
inference(forward_demodulation,[],[f1746,f354]) ).
fof(f1762,plain,
! [X0,X1] : join(X1,join(sF1,X0)) = join(X0,join(sF1,X1)),
inference(forward_demodulation,[],[f1756,f348]) ).
fof(f1849,plain,
meet(sF1,sF4) = join(meet(sF1,sF4),meet(b,sF2)),
inference(superposition,[],[f1543,f72]) ).
fof(f1875,plain,
meet(sF1,sF4) = join(meet(b,sF2),meet(sF1,sF4)),
inference(forward_demodulation,[],[f1849,f4]) ).
fof(f1882,plain,
meet(sF4,sF1) = join(meet(b,sF2),meet(sF4,sF1)),
inference(forward_demodulation,[],[f1875,f3]) ).
fof(f2015,plain,
! [X0] : meet(X0,sF1) = join(meet(b,X0),meet(X0,sF1)),
inference(superposition,[],[f1484,f3]) ).
fof(f2020,plain,
sF2 = join(meet(a,b),sF2),
inference(superposition,[],[f1484,f18]) ).
fof(f2021,plain,
sF2 = join(meet(sF2,b),sF2),
inference(superposition,[],[f1484,f68]) ).
fof(f2032,plain,
sF2 = join(sF2,meet(sF2,b)),
inference(forward_demodulation,[],[f2021,f4]) ).
fof(f2033,plain,
sF2 = join(sF2,meet(a,b)),
inference(forward_demodulation,[],[f2020,f4]) ).
fof(f2037,plain,
sF2 = join(sF2,meet(b,sF2)),
inference(forward_demodulation,[],[f2032,f3]) ).
fof(f2038,plain,
sF2 = join(sF2,meet(b,a)),
inference(forward_demodulation,[],[f2033,f3]) ).
fof(f2040,plain,
sF2 = join(sF2,sF3),
inference(forward_demodulation,[],[f2038,f25]) ).
fof(f2041,plain,
sF2 = join(sF3,sF2),
inference(forward_demodulation,[],[f2040,f4]) ).
fof(f2043,plain,
! [X0] : join(sF2,X0) = join(sF3,join(sF2,X0)),
inference(superposition,[],[f6,f2041]) ).
fof(f2053,plain,
! [X0] : join(sF2,X0) = join(meet(b,sF2),join(sF2,X0)),
inference(superposition,[],[f346,f2037]) ).
fof(f2059,plain,
! [X0] : join(sF2,X0) = join(sF2,join(X0,meet(b,sF2))),
inference(forward_demodulation,[],[f2053,f354]) ).
fof(f2094,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,meet(X0,X1)),join(X2,X1)),
inference(superposition,[],[f10,f43]) ).
fof(f2106,plain,
! [X0] : join(X0,sF2) = meet(join(X0,sF2),join(X0,a)),
inference(superposition,[],[f10,f46]) ).
fof(f2107,plain,
! [X0] : join(X0,sF3) = meet(join(X0,sF3),join(X0,a)),
inference(superposition,[],[f10,f86]) ).
fof(f2109,plain,
! [X0] : join(X0,sF3) = meet(join(X0,sF3),join(X0,b)),
inference(superposition,[],[f10,f47]) ).
fof(f2121,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),join(meet(X1,X0),X1)),
inference(superposition,[],[f10,f2]) ).
fof(f2125,plain,
! [X0] : meet(X0,sF1) = meet(meet(X0,sF1),join(meet(X0,b),X0)),
inference(superposition,[],[f10,f1484]) ).
fof(f2132,plain,
sF1 = meet(sF1,join(sF1,c)),
inference(superposition,[],[f10,f446]) ).
fof(f2134,plain,
sF2 = meet(sF2,join(sF2,b)),
inference(superposition,[],[f10,f2037]) ).
fof(f2138,plain,
sF4 = meet(sF4,join(sF3,c)),
inference(superposition,[],[f10,f26]) ).
fof(f2142,plain,
! [X0,X1] : join(X1,meet(X1,X0)) = meet(join(X1,meet(X1,X0)),X1),
inference(superposition,[],[f10,f2]) ).
fof(f2144,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,meet(X2,X0)),join(X2,X1)),
inference(superposition,[],[f10,f4]) ).
fof(f2182,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X2,X1),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f2144,f3]) ).
fof(f2184,plain,
! [X0,X1] : join(X1,meet(X1,X0)) = meet(X1,join(X1,meet(X1,X0))),
inference(forward_demodulation,[],[f2142,f3]) ).
fof(f2188,plain,
sF4 = meet(sF4,join(c,sF3)),
inference(forward_demodulation,[],[f2138,f4]) ).
fof(f2192,plain,
sF2 = meet(sF2,join(b,sF2)),
inference(forward_demodulation,[],[f2134,f4]) ).
fof(f2194,plain,
sF1 = meet(sF1,join(c,sF1)),
inference(forward_demodulation,[],[f2132,f4]) ).
fof(f2201,plain,
! [X0] : meet(X0,sF1) = meet(X0,meet(sF1,join(meet(X0,b),X0))),
inference(forward_demodulation,[],[f2125,f5]) ).
fof(f2205,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(X1,X0),X1))),
inference(forward_demodulation,[],[f2121,f5]) ).
fof(f2216,plain,
! [X0] : join(X0,sF3) = meet(join(X0,b),join(X0,sF3)),
inference(forward_demodulation,[],[f2109,f3]) ).
fof(f2218,plain,
! [X0] : join(X0,sF3) = meet(join(X0,a),join(X0,sF3)),
inference(forward_demodulation,[],[f2107,f3]) ).
fof(f2219,plain,
! [X0] : join(X0,sF2) = meet(join(X0,a),join(X0,sF2)),
inference(forward_demodulation,[],[f2106,f3]) ).
fof(f2230,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = meet(join(X2,X1),join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f2094,f3]) ).
fof(f2246,plain,
! [X0] : meet(X0,sF1) = meet(X0,meet(sF1,join(X0,meet(X0,b)))),
inference(forward_demodulation,[],[f2201,f4]) ).
fof(f2248,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,meet(X1,X0)))),
inference(forward_demodulation,[],[f2205,f4]) ).
fof(f2255,plain,
! [X0] : meet(sF4,X0) = meet(join(c,sF3),meet(sF4,X0)),
inference(superposition,[],[f30,f2188]) ).
fof(f2261,plain,
! [X0] : meet(sF4,X0) = meet(sF4,meet(X0,join(c,sF3))),
inference(forward_demodulation,[],[f2255,f38]) ).
fof(f2301,plain,
meet(sF2,sF1) = meet(sF2,join(c,sF1)),
inference(superposition,[],[f67,f2194]) ).
fof(f2321,plain,
sF2 = meet(sF2,join(c,sF1)),
inference(forward_demodulation,[],[f2301,f68]) ).
fof(f2404,plain,
join(sF4,sF2) = join(sF2,meet(c,a)),
inference(superposition,[],[f2043,f1119]) ).
fof(f2492,plain,
join(sF1,sF2) = join(b,join(sF4,sF2)),
inference(superposition,[],[f1124,f2404]) ).
fof(f2504,plain,
join(b,join(sF4,sF2)) = join(sF2,sF1),
inference(forward_demodulation,[],[f2492,f4]) ).
fof(f2815,plain,
! [X0,X1] : join(X0,join(sF4,X1)) = join(X0,join(X1,sF4)),
inference(superposition,[],[f354,f1686]) ).
fof(f2816,plain,
! [X0,X1] : join(sF4,join(X0,X1)) = join(X0,join(sF4,X1)),
inference(superposition,[],[f354,f1686]) ).
fof(f2956,plain,
! [X0,X1] : join(sF1,join(X1,X0)) = join(X1,join(sF1,X0)),
inference(superposition,[],[f354,f1762]) ).
fof(f3172,plain,
! [X0] : join(meet(b,sF2),join(meet(sF4,sF1),X0)) = join(X0,meet(sF4,sF1)),
inference(superposition,[],[f354,f1882]) ).
fof(f3262,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(meet(X1,join(X1,X0)),X1)),
inference(superposition,[],[f354,f1495]) ).
fof(f3318,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,meet(X1,join(X1,X0)))),
inference(forward_demodulation,[],[f3262,f4]) ).
fof(f3420,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(X1,join(X1,X0))),
inference(forward_demodulation,[],[f3318,f1474]) ).
fof(f3553,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,join(X0,X1))),
inference(superposition,[],[f3420,f4]) ).
fof(f3908,plain,
join(sF4,sF2) = join(sF2,meet(meet(c,a),join(sF4,sF2))),
inference(superposition,[],[f3553,f2404]) ).
fof(f4015,plain,
join(sF4,sF2) = join(sF2,meet(c,meet(a,join(sF4,sF2)))),
inference(forward_demodulation,[],[f3908,f5]) ).
fof(f4192,plain,
! [X0] : join(X0,sF3) = meet(join(b,X0),join(X0,sF3)),
inference(superposition,[],[f2216,f4]) ).
fof(f4197,plain,
sF4 = meet(join(sF4,b),sF4),
inference(superposition,[],[f2216,f422]) ).
fof(f4208,plain,
sF4 = meet(sF4,join(sF4,b)),
inference(forward_demodulation,[],[f4197,f3]) ).
fof(f4211,plain,
sF4 = meet(sF4,join(b,sF4)),
inference(forward_demodulation,[],[f4208,f4]) ).
fof(f4365,plain,
join(a,sF3) = meet(a,join(a,sF3)),
inference(superposition,[],[f2218,f2]) ).
fof(f4367,plain,
! [X0] : join(X0,sF3) = meet(join(a,X0),join(X0,sF3)),
inference(superposition,[],[f2218,f4]) ).
fof(f4369,plain,
sF3 = meet(join(sF3,a),sF3),
inference(superposition,[],[f2218,f2]) ).
fof(f4371,plain,
! [X0] : join(sF3,X0) = meet(join(X0,a),join(sF3,X0)),
inference(superposition,[],[f2218,f4]) ).
fof(f4373,plain,
meet(sF4,join(c,sF3)) = meet(sF4,join(c,a)),
inference(superposition,[],[f2261,f2218]) ).
fof(f4382,plain,
sF4 = meet(sF4,join(c,a)),
inference(forward_demodulation,[],[f4373,f2188]) ).
fof(f4384,plain,
sF3 = meet(sF3,join(sF3,a)),
inference(forward_demodulation,[],[f4369,f3]) ).
fof(f4387,plain,
sF3 = meet(sF3,join(a,sF3)),
inference(forward_demodulation,[],[f4384,f4]) ).
fof(f4392,plain,
! [X0] : meet(sF4,X0) = meet(join(c,a),meet(sF4,X0)),
inference(superposition,[],[f30,f4382]) ).
fof(f4398,plain,
! [X0] : meet(sF4,X0) = meet(sF4,meet(X0,join(c,a))),
inference(forward_demodulation,[],[f4392,f38]) ).
fof(f4458,plain,
meet(sF3,join(a,sF3)) = meet(b,join(a,sF3)),
inference(superposition,[],[f33,f4365]) ).
fof(f4468,plain,
sF3 = meet(b,join(a,sF3)),
inference(forward_demodulation,[],[f4458,f4387]) ).
fof(f4536,plain,
! [X0] : join(sF2,X0) = meet(join(X0,a),join(sF2,X0)),
inference(superposition,[],[f2219,f4]) ).
fof(f5716,plain,
meet(join(a,sF3),sF1) = join(sF3,meet(join(a,sF3),sF1)),
inference(superposition,[],[f2015,f4468]) ).
fof(f5750,plain,
meet(join(a,sF3),sF1) = join(sF3,meet(a,join(sF1,sF3))),
inference(forward_demodulation,[],[f5716,f379]) ).
fof(f5759,plain,
meet(join(a,sF3),sF1) = join(sF3,meet(a,join(sF3,sF1))),
inference(forward_demodulation,[],[f5750,f4]) ).
fof(f5766,plain,
meet(join(a,sF3),sF1) = meet(a,join(sF3,sF1)),
inference(forward_demodulation,[],[f5759,f1458]) ).
fof(f5769,plain,
meet(join(a,sF3),sF1) = meet(a,join(b,sF4)),
inference(forward_demodulation,[],[f5766,f1674]) ).
fof(f5771,plain,
meet(a,join(b,sF4)) = meet(sF1,join(a,sF3)),
inference(forward_demodulation,[],[f5769,f3]) ).
fof(f6621,plain,
join(meet(c,a),sF3) = meet(sF1,join(meet(c,a),sF3)),
inference(superposition,[],[f4192,f27]) ).
fof(f6681,plain,
join(sF3,meet(c,a)) = meet(sF1,join(sF3,meet(c,a))),
inference(forward_demodulation,[],[f6621,f4]) ).
fof(f6691,plain,
sF4 = meet(sF1,sF4),
inference(forward_demodulation,[],[f6681,f26]) ).
fof(f6706,plain,
sF4 = meet(sF4,sF1),
inference(forward_demodulation,[],[f6691,f3]) ).
fof(f6723,plain,
! [X0] : join(X0,sF4) = join(meet(b,sF2),join(sF4,X0)),
inference(backward_demodulation,[],[f3172,f6706]) ).
fof(f6735,plain,
! [X0] : join(X0,sF4) = join(sF4,join(X0,meet(b,sF2))),
inference(forward_demodulation,[],[f6723,f354]) ).
fof(f6744,plain,
meet(a,sF4) = meet(sF4,sF2),
inference(superposition,[],[f864,f6706]) ).
fof(f7152,plain,
sF4 = meet(join(meet(c,a),a),sF4),
inference(superposition,[],[f4371,f26]) ).
fof(f7155,plain,
join(b,sF4) = meet(join(sF1,a),join(b,sF4)),
inference(superposition,[],[f4371,f1674]) ).
fof(f7174,plain,
join(b,sF4) = meet(join(b,sF4),join(sF1,a)),
inference(forward_demodulation,[],[f7155,f3]) ).
fof(f7177,plain,
sF4 = meet(sF4,join(meet(c,a),a)),
inference(forward_demodulation,[],[f7152,f3]) ).
fof(f7187,plain,
join(b,sF4) = meet(join(b,sF4),join(a,sF1)),
inference(forward_demodulation,[],[f7174,f4]) ).
fof(f7190,plain,
sF4 = meet(sF4,join(a,meet(c,a))),
inference(forward_demodulation,[],[f7177,f4]) ).
fof(f7259,plain,
sF2 = meet(join(meet(b,sF2),a),sF2),
inference(superposition,[],[f4536,f2037]) ).
fof(f7280,plain,
sF2 = meet(sF2,join(meet(b,sF2),a)),
inference(forward_demodulation,[],[f7259,f3]) ).
fof(f7286,plain,
sF2 = meet(sF2,join(a,meet(b,sF2))),
inference(forward_demodulation,[],[f7280,f4]) ).
fof(f7930,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = join(X1,meet(X1,join(X0,X1))),
inference(superposition,[],[f1474,f411]) ).
fof(f7931,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X2,X0))) = join(X2,meet(X2,join(X1,join(X2,X0)))),
inference(superposition,[],[f1474,f354]) ).
fof(f8994,plain,
! [X0,X1] : meet(sF2,meet(X0,X1)) = meet(X0,meet(sF2,X1)),
inference(superposition,[],[f38,f600]) ).
fof(f10643,plain,
! [X2,X0,X1] : meet(join(X1,meet(X1,X0)),X2) = meet(join(X1,meet(X1,X0)),meet(X1,X2)),
inference(superposition,[],[f30,f2184]) ).
fof(f10695,plain,
! [X2,X0,X1] : meet(join(X1,meet(X1,X0)),X2) = meet(X1,meet(X2,join(X1,meet(X1,X0)))),
inference(forward_demodulation,[],[f10643,f38]) ).
fof(f10762,plain,
! [X0,X1] : meet(X1,X0) = meet(join(X1,meet(X1,X0)),X0),
inference(backward_demodulation,[],[f2248,f10695]) ).
fof(f10763,plain,
! [X0] : meet(X0,sF1) = meet(join(X0,meet(X0,b)),sF1),
inference(backward_demodulation,[],[f2246,f10695]) ).
fof(f10783,plain,
! [X0] : meet(X0,sF1) = meet(sF1,join(X0,meet(X0,b))),
inference(forward_demodulation,[],[f10763,f3]) ).
fof(f10784,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,join(X1,meet(X1,X0))),
inference(forward_demodulation,[],[f10762,f3]) ).
fof(f10792,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,meet(X0,X1))),
inference(superposition,[],[f10784,f3]) ).
fof(f10838,plain,
sF2 = meet(sF1,join(a,sF2)),
inference(superposition,[],[f10784,f18]) ).
fof(f10854,plain,
sF3 = meet(a,join(b,sF3)),
inference(superposition,[],[f10784,f25]) ).
fof(f11242,plain,
sF2 = meet(join(a,sF2),join(sF1,sF2)),
inference(superposition,[],[f10784,f10838]) ).
fof(f11243,plain,
sF2 = meet(join(a,sF2),join(sF2,sF1)),
inference(forward_demodulation,[],[f11242,f4]) ).
fof(f16456,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(X0,meet(X0,join(X1,X0))),
inference(superposition,[],[f379,f2]) ).
fof(f16583,plain,
! [X0] : join(X0,join(X0,sF3)) = join(X0,meet(a,join(join(X0,sF3),X0))),
inference(superposition,[],[f379,f4367]) ).
fof(f16596,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X2,X0))) = join(X0,meet(X2,join(X1,X0))),
inference(superposition,[],[f379,f3]) ).
fof(f16623,plain,
! [X0,X1] : meet(join(X1,X0),X0) = meet(join(X1,X0),join(X0,meet(X1,join(X0,X0)))),
inference(superposition,[],[f10792,f379]) ).
fof(f16734,plain,
! [X0,X1] : meet(join(X1,X0),X0) = join(X0,meet(X1,join(X0,X0))),
inference(forward_demodulation,[],[f16623,f2182]) ).
fof(f16764,plain,
! [X0] : join(X0,join(X0,sF3)) = join(X0,meet(a,join(X0,join(sF3,X0)))),
inference(forward_demodulation,[],[f16583,f6]) ).
fof(f16894,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[],[f16456,f7930]) ).
fof(f16927,plain,
! [X0,X1] : meet(join(X1,X0),X0) = join(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f16734,f2]) ).
fof(f16949,plain,
! [X0] : join(X0,join(X0,sF3)) = join(X0,meet(a,join(sF3,X0))),
inference(forward_demodulation,[],[f16764,f411]) ).
fof(f17044,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,join(X0,X1))),
inference(backward_demodulation,[],[f10784,f16894]) ).
fof(f17055,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X2,X0))) = meet(X2,join(join(X1,join(X2,X0)),X2)),
inference(backward_demodulation,[],[f7931,f16894]) ).
fof(f17072,plain,
! [X0] : meet(X0,sF1) = meet(sF1,meet(X0,join(b,X0))),
inference(backward_demodulation,[],[f10783,f16894]) ).
fof(f17171,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = meet(X0,join(X1,X0)),
inference(forward_demodulation,[],[f16927,f3]) ).
fof(f17185,plain,
! [X0] : join(X0,sF3) = join(X0,meet(a,join(sF3,X0))),
inference(forward_demodulation,[],[f16949,f344]) ).
fof(f17276,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X2,X0))) = meet(X2,join(X1,join(join(X2,X0),X2))),
inference(forward_demodulation,[],[f17055,f6]) ).
fof(f17345,plain,
sF4 = meet(sF4,meet(a,join(c,a))),
inference(backward_demodulation,[],[f7190,f17171]) ).
fof(f17404,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X2,X0))) = meet(X2,join(X1,join(X2,join(X0,X2)))),
inference(forward_demodulation,[],[f17276,f6]) ).
fof(f17414,plain,
sF4 = meet(sF4,a),
inference(forward_demodulation,[],[f17345,f4398]) ).
fof(f17476,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X2,X0))) = meet(X2,join(X1,join(X0,X2))),
inference(forward_demodulation,[],[f17404,f411]) ).
fof(f17480,plain,
sF4 = meet(a,sF4),
inference(forward_demodulation,[],[f17414,f3]) ).
fof(f17523,plain,
sF4 = meet(sF4,sF2),
inference(backward_demodulation,[],[f6744,f17480]) ).
fof(f17606,plain,
meet(sF4,sF3) = meet(b,sF4),
inference(superposition,[],[f648,f17480]) ).
fof(f18837,plain,
meet(meet(c,a),sF2) = meet(sF2,meet(meet(c,a),join(sF4,sF2))),
inference(superposition,[],[f17044,f2404]) ).
fof(f18918,plain,
! [X0] : meet(b,meet(X0,a)) = meet(meet(X0,join(a,X0)),sF3),
inference(superposition,[],[f648,f17044]) ).
fof(f18991,plain,
! [X0] : meet(b,meet(X0,a)) = meet(X0,meet(join(a,X0),sF3)),
inference(forward_demodulation,[],[f18918,f5]) ).
fof(f19047,plain,
meet(meet(c,a),sF2) = meet(sF2,meet(c,meet(a,join(sF4,sF2)))),
inference(forward_demodulation,[],[f18837,f5]) ).
fof(f19109,plain,
! [X0] : meet(b,meet(X0,a)) = meet(X0,meet(sF3,join(a,X0))),
inference(forward_demodulation,[],[f18991,f599]) ).
fof(f19156,plain,
meet(meet(c,a),sF2) = meet(sF2,meet(c,join(sF4,sF2))),
inference(forward_demodulation,[],[f19047,f583]) ).
fof(f19204,plain,
! [X0] : meet(sF3,X0) = meet(X0,meet(sF3,join(a,X0))),
inference(forward_demodulation,[],[f19109,f77]) ).
fof(f19235,plain,
meet(meet(c,a),sF2) = meet(c,meet(sF2,join(sF4,sF2))),
inference(forward_demodulation,[],[f19156,f8994]) ).
fof(f19282,plain,
meet(c,meet(a,sF2)) = meet(c,meet(sF2,join(sF4,sF2))),
inference(forward_demodulation,[],[f19235,f5]) ).
fof(f19315,plain,
meet(c,sF2) = meet(c,meet(sF2,join(sF4,sF2))),
inference(forward_demodulation,[],[f19282,f46]) ).
fof(f19575,plain,
join(a,sF3) = meet(a,join(join(b,sF3),a)),
inference(superposition,[],[f16894,f10854]) ).
fof(f19580,plain,
join(a,sF4) = meet(a,join(sF4,a)),
inference(superposition,[],[f16894,f17480]) ).
fof(f19590,plain,
join(b,sF3) = meet(b,join(a,b)),
inference(superposition,[],[f16894,f25]) ).
fof(f19881,plain,
join(b,sF3) = meet(b,join(b,a)),
inference(forward_demodulation,[],[f19590,f4]) ).
fof(f19891,plain,
join(a,sF4) = meet(a,join(a,sF4)),
inference(forward_demodulation,[],[f19580,f4]) ).
fof(f19896,plain,
join(a,sF3) = meet(a,join(b,join(sF3,a))),
inference(forward_demodulation,[],[f19575,f6]) ).
fof(f20079,plain,
join(a,sF3) = meet(a,join(b,join(a,sF3))),
inference(forward_demodulation,[],[f19896,f17476]) ).
fof(f20367,plain,
join(b,a) = join(a,join(b,sF3)),
inference(superposition,[],[f3420,f19881]) ).
fof(f20378,plain,
join(b,a) = join(b,join(sF3,a)),
inference(forward_demodulation,[],[f20367,f354]) ).
fof(f20381,plain,
join(b,a) = join(b,join(a,sF3)),
inference(forward_demodulation,[],[f20378,f4]) ).
fof(f20386,plain,
join(a,sF3) = meet(a,join(b,a)),
inference(backward_demodulation,[],[f20079,f20381]) ).
fof(f20498,plain,
join(b,join(sF1,join(a,sF3))) = join(sF1,join(b,a)),
inference(superposition,[],[f2956,f20381]) ).
fof(f20505,plain,
join(b,join(sF1,join(a,sF3))) = join(b,join(sF1,a)),
inference(forward_demodulation,[],[f20498,f2956]) ).
fof(f20516,plain,
join(sF1,a) = join(b,join(sF1,join(a,sF3))),
inference(forward_demodulation,[],[f20505,f426]) ).
fof(f20526,plain,
join(sF1,a) = join(sF1,join(a,sF3)),
inference(forward_demodulation,[],[f20516,f426]) ).
fof(f20532,plain,
join(sF1,a) = join(a,join(sF1,sF3)),
inference(forward_demodulation,[],[f20526,f2956]) ).
fof(f20537,plain,
join(sF1,a) = join(a,join(sF3,sF1)),
inference(forward_demodulation,[],[f20532,f1140]) ).
fof(f20538,plain,
join(sF1,a) = join(a,join(b,sF4)),
inference(forward_demodulation,[],[f20537,f1674]) ).
fof(f20539,plain,
join(sF1,a) = join(b,join(sF4,a)),
inference(forward_demodulation,[],[f20538,f354]) ).
fof(f20540,plain,
join(sF1,a) = join(b,join(a,sF4)),
inference(forward_demodulation,[],[f20539,f2815]) ).
fof(f20541,plain,
join(a,sF1) = join(b,join(a,sF4)),
inference(forward_demodulation,[],[f20540,f4]) ).
fof(f20645,plain,
meet(sF3,join(a,sF4)) = meet(b,join(a,sF4)),
inference(superposition,[],[f33,f19891]) ).
fof(f21873,plain,
join(join(a,meet(b,sF2)),sF2) = meet(join(a,meet(b,sF2)),join(sF2,join(a,meet(b,sF2)))),
inference(superposition,[],[f17171,f7286]) ).
fof(f21938,plain,
join(sF2,sF4) = meet(sF2,join(sF4,sF2)),
inference(superposition,[],[f17171,f17523]) ).
fof(f22082,plain,
join(sF4,sF2) = meet(sF2,join(sF4,sF2)),
inference(forward_demodulation,[],[f21938,f4]) ).
fof(f22147,plain,
join(join(a,meet(b,sF2)),sF2) = meet(join(a,meet(b,sF2)),join(sF2,a)),
inference(forward_demodulation,[],[f21873,f2059]) ).
fof(f22282,plain,
meet(c,sF2) = meet(c,join(sF4,sF2)),
inference(backward_demodulation,[],[f19315,f22082]) ).
fof(f22345,plain,
join(join(a,meet(b,sF2)),sF2) = meet(join(sF2,a),join(a,meet(b,sF2))),
inference(forward_demodulation,[],[f22147,f3]) ).
fof(f22490,plain,
join(join(a,meet(b,sF2)),sF2) = meet(join(a,sF2),join(a,meet(b,sF2))),
inference(forward_demodulation,[],[f22345,f4]) ).
fof(f22588,plain,
join(a,meet(b,sF2)) = join(join(a,meet(b,sF2)),sF2),
inference(forward_demodulation,[],[f22490,f2230]) ).
fof(f22640,plain,
join(a,meet(b,sF2)) = join(a,join(meet(b,sF2),sF2)),
inference(forward_demodulation,[],[f22588,f6]) ).
fof(f22675,plain,
join(a,meet(b,sF2)) = join(a,join(sF2,meet(b,sF2))),
inference(forward_demodulation,[],[f22640,f4]) ).
fof(f22690,plain,
join(a,meet(b,sF2)) = join(a,meet(sF2,join(b,sF2))),
inference(forward_demodulation,[],[f22675,f17171]) ).
fof(f22699,plain,
join(a,sF2) = join(a,meet(b,sF2)),
inference(forward_demodulation,[],[f22690,f2192]) ).
fof(f22810,plain,
join(a,sF4) = join(sF4,join(a,sF2)),
inference(superposition,[],[f6735,f22699]) ).
fof(f22830,plain,
join(a,sF4) = join(a,join(sF4,sF2)),
inference(forward_demodulation,[],[f22810,f2816]) ).
fof(f22859,plain,
join(sF4,sF2) = meet(a,join(sF4,sF2)),
inference(superposition,[],[f57,f22082]) ).
fof(f22890,plain,
join(sF4,sF2) = join(sF2,meet(c,join(sF4,sF2))),
inference(backward_demodulation,[],[f4015,f22859]) ).
fof(f22897,plain,
join(sF4,sF2) = join(sF2,meet(c,sF2)),
inference(forward_demodulation,[],[f22890,f22282]) ).
fof(f22901,plain,
join(sF4,sF2) = meet(sF2,join(c,sF2)),
inference(forward_demodulation,[],[f22897,f17171]) ).
fof(f24282,plain,
join(c,sF2) = join(c,join(sF4,sF2)),
inference(superposition,[],[f3553,f22901]) ).
fof(f24907,plain,
! [X0] : meet(meet(sF3,join(a,X0)),join(X0,meet(sF3,join(a,X0)))) = join(meet(sF3,join(a,X0)),meet(sF3,X0)),
inference(superposition,[],[f17171,f19204]) ).
fof(f24968,plain,
! [X0] : meet(meet(sF3,join(a,X0)),join(X0,meet(sF3,join(a,X0)))) = join(meet(sF3,X0),meet(sF3,join(a,X0))),
inference(forward_demodulation,[],[f24907,f4]) ).
fof(f25020,plain,
! [X0] : meet(sF3,join(a,X0)) = meet(meet(sF3,join(a,X0)),join(X0,meet(sF3,join(a,X0)))),
inference(forward_demodulation,[],[f24968,f1489]) ).
fof(f25069,plain,
! [X0] : meet(sF3,join(a,X0)) = meet(sF3,meet(join(a,X0),join(X0,meet(sF3,join(a,X0))))),
inference(forward_demodulation,[],[f25020,f5]) ).
fof(f25109,plain,
! [X0] : meet(sF3,join(a,X0)) = meet(sF3,meet(join(a,X0),join(X0,meet(a,join(sF3,X0))))),
inference(forward_demodulation,[],[f25069,f16596]) ).
fof(f25135,plain,
! [X0] : meet(sF3,join(a,X0)) = meet(sF3,join(X0,meet(a,join(sF3,X0)))),
inference(forward_demodulation,[],[f25109,f2182]) ).
fof(f25153,plain,
! [X0] : meet(sF3,join(a,X0)) = meet(sF3,join(X0,sF3)),
inference(forward_demodulation,[],[f25135,f17185]) ).
fof(f25892,plain,
meet(a,sF1) = meet(sF1,join(a,sF3)),
inference(superposition,[],[f17072,f20386]) ).
fof(f25944,plain,
sF2 = meet(sF1,join(a,sF3)),
inference(forward_demodulation,[],[f25892,f18]) ).
fof(f25989,plain,
sF2 = meet(a,join(b,sF4)),
inference(backward_demodulation,[],[f5771,f25944]) ).
fof(f26094,plain,
meet(join(b,sF4),join(a,join(b,sF4))) = join(join(b,sF4),sF2),
inference(superposition,[],[f17171,f25989]) ).
fof(f26095,plain,
join(b,join(sF4,sF2)) = meet(join(b,sF4),join(a,join(b,sF4))),
inference(forward_demodulation,[],[f26094,f6]) ).
fof(f26102,plain,
join(b,join(sF4,sF2)) = meet(join(b,sF4),join(b,join(sF4,a))),
inference(forward_demodulation,[],[f26095,f354]) ).
fof(f26105,plain,
join(b,join(sF4,sF2)) = meet(join(b,sF4),join(b,join(a,sF4))),
inference(forward_demodulation,[],[f26102,f2815]) ).
fof(f26107,plain,
join(b,join(sF4,sF2)) = meet(join(b,sF4),join(a,sF1)),
inference(forward_demodulation,[],[f26105,f20541]) ).
fof(f26108,plain,
join(b,sF4) = join(b,join(sF4,sF2)),
inference(forward_demodulation,[],[f26107,f7187]) ).
fof(f26109,plain,
join(b,sF4) = join(sF2,sF1),
inference(backward_demodulation,[],[f2504,f26108]) ).
fof(f26112,plain,
sF2 = meet(join(a,sF2),join(b,sF4)),
inference(backward_demodulation,[],[f11243,f26109]) ).
fof(f26171,plain,
sF2 = meet(join(b,sF4),join(a,sF2)),
inference(forward_demodulation,[],[f26112,f3]) ).
fof(f26288,plain,
join(sF4,sF2) = join(sF4,meet(b,join(join(a,sF2),sF4))),
inference(superposition,[],[f379,f26171]) ).
fof(f26309,plain,
join(sF4,sF2) = join(sF4,meet(b,join(a,join(sF2,sF4)))),
inference(forward_demodulation,[],[f26288,f6]) ).
fof(f26316,plain,
join(sF4,sF2) = join(sF4,meet(b,join(a,join(sF4,sF2)))),
inference(forward_demodulation,[],[f26309,f2815]) ).
fof(f26321,plain,
join(sF4,sF2) = join(sF4,meet(b,join(a,sF4))),
inference(forward_demodulation,[],[f26316,f22830]) ).
fof(f29315,plain,
meet(sF3,sF4) = meet(sF3,join(a,sF4)),
inference(superposition,[],[f25153,f422]) ).
fof(f29364,plain,
meet(sF4,sF3) = meet(sF3,join(a,sF4)),
inference(forward_demodulation,[],[f29315,f3]) ).
fof(f29403,plain,
meet(b,sF4) = meet(sF3,join(a,sF4)),
inference(forward_demodulation,[],[f29364,f17606]) ).
fof(f29427,plain,
meet(b,sF4) = meet(b,join(a,sF4)),
inference(backward_demodulation,[],[f20645,f29403]) ).
fof(f29453,plain,
join(sF4,meet(b,sF4)) = join(sF4,sF2),
inference(backward_demodulation,[],[f26321,f29427]) ).
fof(f29467,plain,
join(sF4,sF2) = meet(sF4,join(b,sF4)),
inference(forward_demodulation,[],[f29453,f17171]) ).
fof(f29476,plain,
sF4 = join(sF4,sF2),
inference(forward_demodulation,[],[f29467,f4211]) ).
fof(f29505,plain,
sF4 = meet(sF2,join(c,sF2)),
inference(backward_demodulation,[],[f22901,f29476]) ).
fof(f29510,plain,
join(c,sF4) = join(c,sF2),
inference(backward_demodulation,[],[f24282,f29476]) ).
fof(f29559,plain,
sF4 = meet(sF2,join(c,sF4)),
inference(forward_demodulation,[],[f29505,f29510]) ).
fof(f32760,plain,
sF2 = join(meet(sF2,c),sF2),
inference(superposition,[],[f1446,f2321]) ).
fof(f32832,plain,
sF2 = join(sF2,meet(sF2,c)),
inference(forward_demodulation,[],[f32760,f4]) ).
fof(f32975,plain,
sF2 = meet(sF2,join(c,sF2)),
inference(forward_demodulation,[],[f32832,f16894]) ).
fof(f33068,plain,
sF2 = meet(sF2,join(c,sF4)),
inference(forward_demodulation,[],[f32975,f29510]) ).
fof(f33141,plain,
sF2 = sF4,
inference(forward_demodulation,[],[f33068,f29559]) ).
fof(f33205,plain,
$false,
inference(forward_subsumption_resolution,[],[f33141,f23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT023-1 : TPTP v9.3.1. Released v2.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n018.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 13:59:09 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 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
% 15.97/3.12 % (2369917)Detected a unit-equality problem, will run specialized UEQ schedule.
% 15.97/3.12 % (2369926)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=69451682:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 15.97/3.12 % (2369927)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3506632112:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 15.97/3.12 % (2369924)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3634791827:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 15.97/3.12 % (2369923)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=3241273482:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 15.97/3.12 % (2369922)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=173934259:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 15.97/3.12 % (2369925)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3981662578:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 15.97/3.12 % (2369928)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=556686894:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 15.97/3.12 % (2369926)Instruction limit reached!
% 15.97/3.12 % (2369926)------------------------------
% 15.97/3.12 % (2369926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369926)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369926)Termination reason: Instruction limit
% 15.97/3.12 % (2369926)Termination phase: Saturation
% 15.97/3.12 % (2369926)Time elapsed: 0.053 s
% 15.97/3.12 % (2369926)Peak memory usage: 89 MB
% 15.97/3.12 % (2369926)Instructions burned: 183 (million)
% 15.97/3.12 % (2369925)Instruction limit reached!
% 15.97/3.12 % (2369925)------------------------------
% 15.97/3.12 % (2369925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369925)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369925)Termination reason: Instruction limit
% 15.97/3.12 % (2369925)Termination phase: Saturation
% 15.97/3.12 % (2369925)Time elapsed: 0.083 s
% 15.97/3.12 % (2369925)Peak memory usage: 88 MB
% 15.97/3.12 % (2369925)Instructions burned: 137 (million)
% 15.97/3.12 % (2369936)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3320962115:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 15.97/3.12 % (2369927)Instruction limit reached!
% 15.97/3.12 % (2369927)------------------------------
% 15.97/3.12 % (2369927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369927)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369927)Termination reason: Instruction limit
% 15.97/3.12 % (2369927)Termination phase: Saturation
% 15.97/3.12 % (2369927)Time elapsed: 0.168 s
% 15.97/3.12 % (2369927)Peak memory usage: 90 MB
% 15.97/3.12 % (2369927)Instructions burned: 257 (million)
% 15.97/3.12 % (2369937)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2205519823:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 15.97/3.12 % (2369939)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2092057069:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 15.97/3.12 % (2369939)Instruction limit reached!
% 15.97/3.12 % (2369939)------------------------------
% 15.97/3.12 % (2369939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369939)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369939)Termination reason: Instruction limit
% 15.97/3.12 % (2369939)Termination phase: Saturation
% 15.97/3.12 % (2369939)Time elapsed: 0.117 s
% 15.97/3.12 % (2369939)Peak memory usage: 91 MB
% 15.97/3.12 % (2369939)Instructions burned: 215 (million)
% 15.97/3.12 % (2369942)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=4037748652: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)
% 15.97/3.12 % (2369928)Instruction limit reached!
% 15.97/3.12 % (2369928)------------------------------
% 15.97/3.12 % (2369928)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369928)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369928)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369928)Termination reason: Instruction limit
% 15.97/3.12 % (2369928)Termination phase: Saturation
% 15.97/3.12 % (2369928)Time elapsed: 0.595 s
% 15.97/3.12 % (2369928)Peak memory usage: 95 MB
% 15.97/3.12 % (2369928)Instructions burned: 1188 (million)
% 15.97/3.12 % (2369942)Instruction limit reached!
% 15.97/3.12 % (2369942)------------------------------
% 15.97/3.12 % (2369942)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369942)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369942)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369942)Termination reason: Instruction limit
% 15.97/3.12 % (2369942)Termination phase: Saturation
% 15.97/3.12 % (2369942)Time elapsed: 0.180 s
% 15.97/3.12 % (2369942)Peak memory usage: 91 MB
% 15.97/3.12 % (2369942)Instructions burned: 317 (million)
% 15.97/3.12 % (2369944)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=4069211072:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 15.97/3.12 % (2369936)Instruction limit reached!
% 15.97/3.12 % (2369936)------------------------------
% 15.97/3.12 % (2369936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.97/3.12 % (2369936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.97/3.12 % (2369936)CaDiCaL version: 2.1.3
% 15.97/3.12 % (2369936)Termination reason: Instruction limit
% 15.97/3.12 % (2369936)Termination phase: Saturation
% 15.97/3.12 % (2369936)Time elapsed: 0.729 s
% 15.97/3.12 % (2369936)Peak memory usage: 141 MB
% 15.97/3.12 % (2369936)Instructions burned: 2051 (million)
% 15.97/3.12 % (2369945)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1962384982:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 15.97/3.12 % (2369947)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1276556520:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2990 on theBenchmark for (2990ds/14534Mi)
% 15.97/3.12 % (2369945)First to succeed.
% 15.97/3.12 % (2369945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2369917"
% 15.97/3.12 % (2369945)Refutation found. Thanks to Tanya!
% 15.97/3.12 % SZS status Unsatisfiable for theBenchmark
% 15.97/3.12 % SZS output start Proof for theBenchmark
% See solution above
% 16.79/3.32 % (2369945)------------------------------
% 16.79/3.32 % (2369945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.79/3.32 % (2369945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.79/3.32 % (2369945)CaDiCaL version: 2.1.3
% 16.79/3.32 % (2369945)Termination reason: Refutation
% 16.79/3.32 % (2369945)Time elapsed: 1.031 s
% 16.79/3.32 % (2369945)Peak memory usage: 109 MB
% 16.79/3.32 % (2369945)Instructions burned: 1542 (million)
% 16.79/3.32 % (2369945)------------------------------
% 16.79/3.32 % (2369945)------------------------------
% 16.79/3.32 % (2369917)Success in time 2.291 s
% 16.79/3.32 % Vampire exiting
%------------------------------------------------------------------------------