%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT399-1 : TPTP v9.3.1. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n001.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 11:47:36 AM UTC 2026
% Result : Unsatisfiable 8.97s 3.81s
% Output : Refutation 21.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 16
% Syntax : Number of formulae : 343 ( 343 unt; 6 def)
% Number of atoms : 343 ( 342 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-3 aty)
% Number of variables : 384 ( 384 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity) ).
fof(f2,axiom,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity) ).
fof(f3,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_001) ).
fof(f4,axiom,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_002) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption_003) ).
fof(f7,negated_conjecture,
! [X2,X0,X1] : upme(X0,X1,X2) = meet(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_upme) ).
fof(f8,negated_conjecture,
! [X2,X0,X1] : lome(X0,X1,X2) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',definition_of_lome) ).
fof(f9,negated_conjecture,
! [X2,X0,X1] : join(upme(meet(a,X0),X1,X2),meet(X1,X2)) = meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture) ).
fof(f10,negated_conjecture,
upme(meet(a,z1),z2,z3) != lome(meet(a,z1),z2,z3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conjecture_1) ).
fof(f11,plain,
! [X2,X0,X1] : meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)) = join(meet(meet(a,X0),join(X1,X2)),meet(X1,X2)),
inference(definition_unfolding,[],[f9,f7]) ).
fof(f12,plain,
meet(meet(a,z1),join(z2,z3)) != join(meet(meet(a,z1),z2),meet(meet(a,z1),z3)),
inference(definition_unfolding,[],[f10,f7,f8]) ).
fof(f13,definition,
sF0 = meet(a,z1),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f14,plain,
meet(a,z1) = sF0,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF1 = join(z2,z3),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f16,plain,
join(z2,z3) = sF1,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF2 = meet(sF0,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f18,plain,
meet(sF0,sF1) = sF2,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF3 = meet(sF0,z2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f20,plain,
meet(sF0,z2) = sF3,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF4 = meet(sF0,z3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f22,plain,
meet(sF0,z3) = sF4,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF5 = join(sF3,sF4),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f24,plain,
join(sF3,sF4) = sF5,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF2 != sF5,
inference(definition_folding,[],[f12,f24,f22,f14,f20,f14,f18,f16,f14]) ).
fof(f26,plain,
! [X2,X0,X1] : meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)) = join(meet(X1,X2),meet(meet(a,X0),join(X1,X2))),
inference(backward_demodulation,[],[f11,f3]) ).
fof(f27,plain,
! [X2,X0,X1] : meet(join(meet(meet(a,X0),X1),X2),join(meet(meet(a,X0),X2),X1)) = join(meet(X1,X2),meet(a,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f26,f2]) ).
fof(f28,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(a,meet(X0,join(X1,X2)))) = meet(join(meet(meet(a,X0),X1),X2),join(meet(a,meet(X0,X2)),X1)),
inference(forward_demodulation,[],[f27,f2]) ).
fof(f29,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(a,meet(X0,join(X1,X2)))) = meet(join(meet(a,meet(X0,X1)),X2),join(meet(a,meet(X0,X2)),X1)),
inference(forward_demodulation,[],[f28,f2]) ).
fof(f38,plain,
! [X2,X0,X1] : join(meet(X1,join(X0,X2)),meet(a,meet(X0,join(X1,join(X0,X2))))) = meet(join(meet(a,meet(X0,X1)),join(X0,X2)),join(meet(a,X0),X1)),
inference(superposition,[],[f29,f6]) ).
fof(f39,plain,
! [X2,X0,X1] : join(meet(join(X0,X1),X2),meet(a,meet(X0,join(join(X0,X1),X2)))) = meet(join(meet(a,X0),X2),join(meet(a,meet(X0,X2)),join(X0,X1))),
inference(superposition,[],[f29,f6]) ).
fof(f40,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,meet(X0,X2)),join(X0,X1))) = join(meet(join(X0,X1),X2),meet(a,meet(X0,join(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f39,f4]) ).
fof(f41,plain,
! [X2,X0,X1] : join(meet(X1,join(X0,X2)),meet(a,meet(X0,join(X1,join(X0,X2))))) = meet(join(meet(a,X0),X1),join(meet(a,meet(X0,X1)),join(X0,X2))),
inference(forward_demodulation,[],[f38,f1]) ).
fof(f42,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,meet(X0,X2)),join(X0,X1))) = join(meet(join(X0,X1),X2),meet(a,X0)),
inference(forward_demodulation,[],[f40,f6]) ).
fof(f43,plain,
! [X2,X0,X1] : meet(join(meet(a,X0),X2),join(meet(a,meet(X0,X2)),join(X0,X1))) = join(meet(a,X0),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f42,f3]) ).
fof(f44,plain,
! [X2,X0,X1] : join(meet(X1,join(X0,X2)),meet(a,meet(X0,join(X1,join(X0,X2))))) = join(meet(a,X0),meet(join(X0,X2),X1)),
inference(backward_demodulation,[],[f41,f43]) ).
fof(f46,plain,
! [X0] : join(X0,X0) = X0,
inference(superposition,[],[f5,f6]) ).
fof(f49,plain,
! [X0] : meet(X0,X0) = X0,
inference(superposition,[],[f6,f5]) ).
fof(f66,plain,
z2 = meet(z2,sF1),
inference(superposition,[],[f6,f16]) ).
fof(f67,plain,
z2 = meet(sF1,z2),
inference(forward_demodulation,[],[f66,f1]) ).
fof(f68,plain,
a = join(a,sF0),
inference(superposition,[],[f5,f14]) ).
fof(f73,plain,
a = join(sF0,a),
inference(forward_demodulation,[],[f68,f3]) ).
fof(f78,plain,
! [X0] : join(meet(X0,z3),meet(a,meet(sF0,join(X0,z3)))) = meet(join(meet(a,meet(sF0,X0)),z3),join(meet(a,sF4),X0)),
inference(superposition,[],[f29,f22]) ).
fof(f79,plain,
! [X0] : join(meet(z3,X0),meet(a,meet(sF0,join(z3,X0)))) = meet(join(meet(a,sF4),X0),join(meet(a,meet(sF0,X0)),z3)),
inference(superposition,[],[f29,f22]) ).
fof(f80,plain,
! [X0] : join(meet(z3,X0),meet(a,meet(sF0,join(z3,X0)))) = meet(join(meet(a,sF4),X0),join(z3,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f79,f3]) ).
fof(f81,plain,
! [X0] : join(meet(X0,z3),meet(a,meet(sF0,join(X0,z3)))) = meet(join(meet(a,sF4),X0),join(meet(a,meet(sF0,X0)),z3)),
inference(forward_demodulation,[],[f78,f1]) ).
fof(f82,plain,
! [X0] : join(meet(z3,X0),meet(a,meet(sF0,join(z3,X0)))) = meet(join(meet(sF4,a),X0),join(z3,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f80,f1]) ).
fof(f83,plain,
! [X0] : join(meet(X0,z3),meet(a,meet(sF0,join(X0,z3)))) = meet(join(meet(a,sF4),X0),join(z3,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f81,f3]) ).
fof(f84,plain,
! [X0] : join(meet(X0,z3),meet(a,meet(sF0,join(X0,z3)))) = meet(join(meet(sF4,a),X0),join(z3,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f83,f1]) ).
fof(f86,plain,
! [X0] : join(meet(X0,z2),meet(a,meet(sF0,join(X0,z2)))) = meet(join(meet(a,meet(sF0,X0)),z2),join(meet(a,sF3),X0)),
inference(superposition,[],[f29,f20]) ).
fof(f87,plain,
! [X0] : join(meet(z2,X0),meet(a,meet(sF0,join(z2,X0)))) = meet(join(meet(a,sF3),X0),join(meet(a,meet(sF0,X0)),z2)),
inference(superposition,[],[f29,f20]) ).
fof(f88,plain,
! [X0] : join(meet(z2,X0),meet(a,meet(sF0,join(z2,X0)))) = meet(join(meet(a,sF3),X0),join(z2,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f87,f3]) ).
fof(f89,plain,
! [X0] : join(meet(X0,z2),meet(a,meet(sF0,join(X0,z2)))) = meet(join(meet(a,sF3),X0),join(meet(a,meet(sF0,X0)),z2)),
inference(forward_demodulation,[],[f86,f1]) ).
fof(f90,plain,
! [X0] : join(meet(z2,X0),meet(a,meet(sF0,join(z2,X0)))) = meet(join(meet(sF3,a),X0),join(z2,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f88,f1]) ).
fof(f91,plain,
! [X0] : join(meet(X0,z2),meet(a,meet(sF0,join(X0,z2)))) = meet(join(meet(a,sF3),X0),join(z2,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f89,f3]) ).
fof(f92,plain,
! [X0] : join(meet(X0,z2),meet(a,meet(sF0,join(X0,z2)))) = meet(join(meet(sF3,a),X0),join(z2,meet(a,meet(sF0,X0)))),
inference(forward_demodulation,[],[f91,f1]) ).
fof(f106,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f1]) ).
fof(f107,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X1,join(X2,X0)))) = meet(join(meet(a,meet(X1,X2)),X0),join(meet(a,meet(X0,X1)),X2)),
inference(superposition,[],[f29,f1]) ).
fof(f116,plain,
z3 = join(z3,sF4),
inference(superposition,[],[f106,f22]) ).
fof(f123,plain,
z3 = join(sF4,z3),
inference(forward_demodulation,[],[f116,f3]) ).
fof(f140,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f6,f3]) ).
fof(f142,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(a,meet(X1,join(X2,X0)))) = meet(join(X0,meet(a,meet(X1,X2))),join(meet(a,meet(X1,X0)),X2)),
inference(superposition,[],[f29,f3]) ).
fof(f145,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f140,f5]) ).
fof(f149,plain,
z3 = meet(z3,sF1),
inference(superposition,[],[f140,f16]) ).
fof(f158,plain,
z3 = meet(sF1,z3),
inference(forward_demodulation,[],[f149,f1]) ).
fof(f160,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f145,f2]) ).
fof(f162,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f2,f1]) ).
fof(f165,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f2,f6]) ).
fof(f167,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(z1,X0)),
inference(superposition,[],[f2,f14]) ).
fof(f168,plain,
! [X0] : meet(sF0,meet(z2,X0)) = meet(sF3,X0),
inference(superposition,[],[f2,f20]) ).
fof(f169,plain,
! [X0] : meet(sF0,meet(z3,X0)) = meet(sF4,X0),
inference(superposition,[],[f2,f22]) ).
fof(f170,plain,
! [X0] : meet(sF0,meet(sF1,X0)) = meet(sF2,X0),
inference(superposition,[],[f2,f18]) ).
fof(f176,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f1,f2]) ).
fof(f182,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f140,f2]) ).
fof(f187,plain,
! [X0] : join(meet(X0,z2),meet(a,meet(sF0,join(X0,z2)))) = meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))),
inference(backward_demodulation,[],[f92,f176]) ).
fof(f188,plain,
! [X0] : join(meet(z2,X0),meet(a,meet(sF0,join(z2,X0)))) = meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))),
inference(backward_demodulation,[],[f90,f176]) ).
fof(f189,plain,
! [X0] : join(meet(X0,z3),meet(a,meet(sF0,join(X0,z3)))) = meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))),
inference(backward_demodulation,[],[f84,f176]) ).
fof(f190,plain,
! [X0] : join(meet(z3,X0),meet(a,meet(sF0,join(z3,X0)))) = meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))),
inference(backward_demodulation,[],[f82,f176]) ).
fof(f194,plain,
! [X0] : meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))) = join(meet(z3,X0),meet(sF0,meet(join(z3,X0),a))),
inference(forward_demodulation,[],[f190,f176]) ).
fof(f195,plain,
! [X0] : meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))) = join(meet(X0,z3),meet(sF0,meet(join(X0,z3),a))),
inference(forward_demodulation,[],[f189,f176]) ).
fof(f196,plain,
! [X0] : meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))) = join(meet(z2,X0),meet(sF0,meet(join(z2,X0),a))),
inference(forward_demodulation,[],[f188,f176]) ).
fof(f197,plain,
! [X0] : meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))) = join(meet(X0,z2),meet(sF0,meet(join(X0,z2),a))),
inference(forward_demodulation,[],[f187,f176]) ).
fof(f201,plain,
! [X0] : meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))) = join(meet(z3,X0),meet(sF0,meet(a,join(z3,X0)))),
inference(forward_demodulation,[],[f194,f1]) ).
fof(f202,plain,
! [X0] : meet(join(meet(sF4,a),X0),join(z3,meet(sF0,meet(X0,a)))) = join(meet(X0,z3),meet(sF0,meet(a,join(X0,z3)))),
inference(forward_demodulation,[],[f195,f1]) ).
fof(f203,plain,
! [X0] : meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))) = join(meet(z2,X0),meet(sF0,meet(a,join(z2,X0)))),
inference(forward_demodulation,[],[f196,f1]) ).
fof(f204,plain,
! [X0] : meet(join(meet(sF3,a),X0),join(z2,meet(sF0,meet(X0,a)))) = join(meet(X0,z2),meet(sF0,meet(a,join(X0,z2)))),
inference(forward_demodulation,[],[f197,f1]) ).
fof(f207,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f4,f5]) ).
fof(f208,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f4,f106]) ).
fof(f212,plain,
! [X0] : join(sF1,X0) = join(z2,join(z3,X0)),
inference(superposition,[],[f4,f16]) ).
fof(f213,plain,
! [X0] : join(sF3,join(sF4,X0)) = join(sF5,X0),
inference(superposition,[],[f4,f24]) ).
fof(f220,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f3,f4]) ).
fof(f245,plain,
! [X2,X0,X1] : join(X0,meet(X0,X1)) = join(X0,meet(X2,meet(X0,X1))),
inference(superposition,[],[f207,f106]) ).
fof(f247,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f207,f3]) ).
fof(f263,plain,
! [X2,X0,X1] : join(X0,meet(X2,meet(X0,X1))) = X0,
inference(forward_demodulation,[],[f245,f5]) ).
fof(f281,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(superposition,[],[f165,f106]) ).
fof(f289,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f165,f1]) ).
fof(f293,plain,
! [X2,X0,X1] : meet(X0,join(X0,X1)) = meet(X0,join(X2,join(X0,X1))),
inference(superposition,[],[f165,f140]) ).
fof(f312,plain,
! [X2,X0,X1] : meet(X0,join(X2,join(X0,X1))) = X0,
inference(forward_demodulation,[],[f293,f6]) ).
fof(f323,plain,
! [X2,X0,X1] : join(meet(a,X0),meet(join(X0,X2),X1)) = join(meet(X1,join(X0,X2)),meet(a,X0)),
inference(backward_demodulation,[],[f44,f312]) ).
fof(f330,plain,
! [X2,X0,X1] : join(meet(a,X0),meet(join(X0,X2),X1)) = join(meet(a,X0),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f323,f3]) ).
fof(f404,plain,
! [X0] : meet(sF3,X0) = meet(sF0,meet(X0,z2)),
inference(superposition,[],[f168,f1]) ).
fof(f434,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))) = meet(join(meet(a,X0),X1),join(meet(a,meet(X0,X1)),X0)),
inference(superposition,[],[f29,f49]) ).
fof(f435,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(X0,join(X1,X0)))) = meet(join(meet(a,meet(X0,X1)),X0),join(meet(a,X0),X1)),
inference(superposition,[],[f29,f49]) ).
fof(f445,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),join(meet(a,meet(X0,X1)),X0)) = join(meet(X1,X0),meet(a,meet(X0,join(X1,X0)))),
inference(forward_demodulation,[],[f435,f1]) ).
fof(f446,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))) = meet(join(meet(a,X0),X1),join(X0,meet(a,meet(X0,X1)))),
inference(forward_demodulation,[],[f434,f3]) ).
fof(f450,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),join(meet(a,meet(X0,X1)),X0)) = join(meet(X1,X0),meet(a,X0)),
inference(forward_demodulation,[],[f445,f140]) ).
fof(f451,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))) = meet(join(meet(a,X0),X1),X0),
inference(forward_demodulation,[],[f446,f263]) ).
fof(f453,plain,
! [X0,X1] : meet(join(meet(a,X0),X1),join(X0,meet(a,meet(X0,X1)))) = join(meet(X1,X0),meet(a,X0)),
inference(forward_demodulation,[],[f450,f3]) ).
fof(f454,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(X0,join(X0,X1)))) = meet(X0,join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f451,f1]) ).
fof(f456,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,X0)) = meet(join(meet(a,X0),X1),X0),
inference(forward_demodulation,[],[f453,f263]) ).
fof(f457,plain,
! [X0,X1] : meet(X0,join(meet(a,X0),X1)) = join(meet(X0,X1),meet(a,X0)),
inference(forward_demodulation,[],[f454,f6]) ).
fof(f459,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,X0)) = meet(X0,join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f456,f1]) ).
fof(f482,plain,
! [X0,X1] : join(meet(meet(a,a),X1),meet(a,meet(X0,join(meet(a,a),X1)))) = meet(join(meet(a,meet(X0,meet(a,a))),X1),meet(a,join(meet(a,a),meet(X0,X1)))),
inference(superposition,[],[f29,f457]) ).
fof(f483,plain,
! [X0,X1] : join(meet(X1,meet(a,a)),meet(a,meet(X0,join(X1,meet(a,a))))) = meet(meet(a,join(meet(a,a),meet(X0,X1))),join(meet(a,meet(X0,meet(a,a))),X1)),
inference(superposition,[],[f29,f457]) ).
fof(f490,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(meet(X0,join(meet(a,X0),X1)),X2)),
inference(superposition,[],[f165,f457]) ).
fof(f493,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,meet(meet(X0,join(meet(a,X0),X1)),X2))),
inference(forward_demodulation,[],[f490,f2]) ).
fof(f498,plain,
! [X0,X1] : join(meet(X1,meet(a,a)),meet(a,meet(X0,join(X1,meet(a,a))))) = meet(a,meet(join(meet(a,a),meet(X0,X1)),join(meet(a,meet(X0,meet(a,a))),X1))),
inference(forward_demodulation,[],[f483,f2]) ).
fof(f499,plain,
! [X0,X1] : join(meet(meet(a,a),X1),meet(a,meet(X0,join(meet(a,a),X1)))) = meet(meet(a,join(meet(a,a),meet(X0,X1))),join(meet(a,meet(X0,meet(a,a))),X1)),
inference(forward_demodulation,[],[f482,f1]) ).
fof(f516,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,meet(X0,meet(join(meet(a,X0),X1),X2)))),
inference(forward_demodulation,[],[f493,f2]) ).
fof(f518,plain,
! [X0,X1] : join(meet(X1,a),meet(a,meet(X0,join(X1,a)))) = meet(a,meet(join(a,meet(X0,X1)),join(meet(a,meet(X0,a)),X1))),
inference(forward_demodulation,[],[f498,f49]) ).
fof(f519,plain,
! [X0,X1] : join(meet(meet(a,a),X1),meet(a,meet(X0,join(meet(a,a),X1)))) = meet(a,meet(join(meet(a,a),meet(X0,X1)),join(meet(a,meet(X0,meet(a,a))),X1))),
inference(forward_demodulation,[],[f499,f2]) ).
fof(f528,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,meet(join(meet(a,X0),X1),X2)))),
inference(forward_demodulation,[],[f516,f2]) ).
fof(f529,plain,
! [X0,X1] : join(meet(X1,a),meet(a,meet(X0,join(X1,a)))) = meet(a,join(meet(a,meet(X0,a)),X1)),
inference(forward_demodulation,[],[f518,f165]) ).
fof(f530,plain,
! [X0,X1] : meet(a,meet(join(a,meet(X0,X1)),join(meet(a,meet(X0,a)),X1))) = join(meet(a,X1),meet(a,meet(X0,join(a,X1)))),
inference(forward_demodulation,[],[f519,f49]) ).
fof(f533,plain,
! [X0,X1] : join(meet(X1,a),meet(a,meet(X0,join(X1,a)))) = meet(a,join(meet(a,X0),X1)),
inference(forward_demodulation,[],[f529,f160]) ).
fof(f534,plain,
! [X0,X1] : meet(a,meet(join(a,meet(X0,X1)),join(meet(a,meet(X0,a)),X1))) = join(meet(a,X1),meet(a,X0)),
inference(forward_demodulation,[],[f530,f289]) ).
fof(f536,plain,
! [X0,X1] : meet(a,join(meet(a,meet(X0,a)),X1)) = join(meet(a,X1),meet(a,X0)),
inference(forward_demodulation,[],[f534,f165]) ).
fof(f538,plain,
! [X0,X1] : meet(a,join(meet(a,X0),X1)) = join(meet(a,X1),meet(a,X0)),
inference(forward_demodulation,[],[f536,f160]) ).
fof(f579,plain,
meet(sF1,join(meet(a,sF1),sF0)) = join(sF2,meet(a,sF1)),
inference(superposition,[],[f459,f18]) ).
fof(f597,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(meet(X1,X0),meet(meet(X0,join(meet(a,X0),X1)),X2)),
inference(superposition,[],[f165,f459]) ).
fof(f600,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(meet(X0,join(meet(a,X0),X1)),X2))),
inference(forward_demodulation,[],[f597,f2]) ).
fof(f610,plain,
meet(sF1,join(meet(sF1,a),sF0)) = join(sF2,meet(sF1,a)),
inference(forward_demodulation,[],[f579,f1]) ).
fof(f621,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(X0,meet(join(meet(a,X0),X1),X2)))),
inference(forward_demodulation,[],[f600,f2]) ).
fof(f628,plain,
join(sF2,meet(sF1,a)) = meet(sF1,join(sF0,meet(sF1,a))),
inference(forward_demodulation,[],[f610,f3]) ).
fof(f633,plain,
! [X2,X0,X1] : meet(meet(X1,X0),X2) = meet(X1,meet(X0,meet(join(meet(a,X0),X1),X2))),
inference(forward_demodulation,[],[f621,f281]) ).
fof(f640,plain,
! [X2,X0,X1] : meet(X1,meet(X0,X2)) = meet(X1,meet(X0,meet(join(meet(a,X0),X1),X2))),
inference(forward_demodulation,[],[f633,f2]) ).
fof(f644,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X1,meet(X0,X2))),
inference(backward_demodulation,[],[f528,f640]) ).
fof(f763,plain,
! [X0] : meet(sF4,X0) = meet(sF0,meet(X0,z3)),
inference(superposition,[],[f169,f1]) ).
fof(f837,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(join(meet(a,meet(z1,X0)),a),join(meet(a,sF0),X0)),
inference(superposition,[],[f107,f14]) ).
fof(f845,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(join(meet(a,meet(X1,meet(a,a))),X0),meet(a,join(meet(a,a),meet(X0,X1)))),
inference(superposition,[],[f107,f457]) ).
fof(f889,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(meet(a,join(meet(a,a),meet(X0,X1))),join(meet(a,meet(X1,meet(a,a))),X0)),
inference(forward_demodulation,[],[f845,f1]) ).
fof(f897,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(join(meet(a,sF0),X0),join(meet(a,meet(z1,X0)),a)),
inference(forward_demodulation,[],[f837,f1]) ).
fof(f945,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(a,meet(join(meet(a,a),meet(X0,X1)),join(meet(a,meet(X1,meet(a,a))),X0))),
inference(forward_demodulation,[],[f889,f2]) ).
fof(f953,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(join(meet(a,sF0),X0),join(a,meet(a,meet(z1,X0)))),
inference(forward_demodulation,[],[f897,f3]) ).
fof(f997,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(a,meet(join(meet(a,a),meet(X0,X1)),join(meet(a,meet(X1,a)),X0))),
inference(forward_demodulation,[],[f945,f644]) ).
fof(f1005,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(join(meet(a,sF0),X0),a),
inference(forward_demodulation,[],[f953,f5]) ).
fof(f1044,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(a,meet(join(meet(a,a),meet(X0,X1)),join(meet(a,X1),X0))),
inference(forward_demodulation,[],[f997,f160]) ).
fof(f1049,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(a,join(meet(a,sF0),X0)),
inference(forward_demodulation,[],[f1005,f1]) ).
fof(f1080,plain,
! [X0,X1] : join(meet(meet(a,a),X0),meet(a,meet(X1,join(meet(a,a),X0)))) = meet(a,meet(join(meet(a,X1),X0),join(meet(a,a),meet(X0,X1)))),
inference(forward_demodulation,[],[f1044,f1]) ).
fof(f1085,plain,
! [X0] : join(meet(X0,a),meet(a,meet(z1,join(X0,a)))) = meet(a,join(meet(sF0,a),X0)),
inference(forward_demodulation,[],[f1049,f1]) ).
fof(f1107,plain,
! [X0,X1] : join(meet(a,X0),meet(a,meet(X1,join(a,X0)))) = meet(a,meet(join(meet(a,X1),X0),join(a,meet(X0,X1)))),
inference(forward_demodulation,[],[f1080,f49]) ).
fof(f1111,plain,
! [X0] : meet(a,join(meet(sF0,a),X0)) = meet(a,join(meet(a,z1),X0)),
inference(forward_demodulation,[],[f1085,f533]) ).
fof(f1122,plain,
! [X0,X1] : meet(a,join(meet(a,X1),X0)) = join(meet(a,X0),meet(a,meet(X1,join(a,X0)))),
inference(forward_demodulation,[],[f1107,f289]) ).
fof(f1124,plain,
! [X0] : meet(a,join(meet(sF0,a),X0)) = meet(a,join(sF0,X0)),
inference(forward_demodulation,[],[f1111,f14]) ).
fof(f1133,plain,
! [X0,X1] : meet(a,join(meet(a,X1),X0)) = meet(a,join(meet(a,meet(X1,join(a,X0))),X0)),
inference(forward_demodulation,[],[f1122,f538]) ).
fof(f1141,plain,
! [X0,X1] : meet(a,join(meet(a,X1),X0)) = meet(a,join(X0,meet(a,meet(X1,join(a,X0))))),
inference(forward_demodulation,[],[f1133,f3]) ).
fof(f1147,plain,
! [X0,X1] : meet(a,join(meet(a,X1),X0)) = meet(a,join(X0,meet(a,X1))),
inference(forward_demodulation,[],[f1141,f289]) ).
fof(f1181,plain,
! [X0] : join(meet(sF0,a),X0) = join(join(meet(sF0,a),X0),meet(a,join(sF0,X0))),
inference(superposition,[],[f106,f1124]) ).
fof(f1193,plain,
! [X0] : join(meet(sF0,a),X0) = join(meet(a,join(sF0,X0)),join(meet(sF0,a),X0)),
inference(forward_demodulation,[],[f1181,f3]) ).
fof(f1210,plain,
! [X0] : join(meet(sF0,a),X0) = join(X0,join(meet(a,join(sF0,X0)),meet(sF0,a))),
inference(forward_demodulation,[],[f1193,f220]) ).
fof(f1221,plain,
! [X0] : join(meet(sF0,a),X0) = join(X0,join(meet(sF0,a),meet(a,join(sF0,X0)))),
inference(forward_demodulation,[],[f1210,f3]) ).
fof(f1794,plain,
! [X2,X3,X0,X1] : join(X1,X3) = join(X1,join(meet(X0,meet(X1,X2)),X3)),
inference(superposition,[],[f207,f176]) ).
fof(f2359,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,join(X2,X3))) = join(X2,join(X3,join(X0,X1))),
inference(superposition,[],[f4,f220]) ).
fof(f2518,plain,
join(z2,z3) = join(sF1,z3),
inference(superposition,[],[f212,f46]) ).
fof(f2520,plain,
! [X0] : join(sF1,X0) = join(z2,join(X0,z3)),
inference(superposition,[],[f212,f3]) ).
fof(f2544,plain,
sF1 = join(sF1,z3),
inference(forward_demodulation,[],[f2518,f16]) ).
fof(f2599,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(z1,join(X1,X0)))) = meet(join(meet(a,meet(z1,X1)),X0),join(meet(sF0,X0),X1)),
inference(superposition,[],[f29,f167]) ).
fof(f2600,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(z1,join(X0,X1)))) = meet(join(meet(sF0,X0),X1),join(meet(a,meet(z1,X1)),X0)),
inference(superposition,[],[f29,f167]) ).
fof(f2642,plain,
! [X0,X1] : join(meet(X0,X1),meet(a,meet(z1,join(X0,X1)))) = meet(join(meet(sF0,X0),X1),join(meet(sF0,X1),X0)),
inference(forward_demodulation,[],[f2600,f167]) ).
fof(f2643,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(z1,join(X1,X0)))) = meet(join(meet(sF0,X0),X1),join(meet(a,meet(z1,X1)),X0)),
inference(forward_demodulation,[],[f2599,f1]) ).
fof(f2669,plain,
! [X0,X1] : meet(join(meet(sF0,X0),X1),join(meet(sF0,X1),X0)) = join(meet(X0,X1),meet(sF0,join(X0,X1))),
inference(forward_demodulation,[],[f2642,f167]) ).
fof(f2670,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(z1,join(X1,X0)))) = meet(join(meet(sF0,X0),X1),join(meet(sF0,X1),X0)),
inference(forward_demodulation,[],[f2643,f167]) ).
fof(f2685,plain,
! [X0,X1] : join(meet(X1,X0),meet(a,meet(z1,join(X1,X0)))) = join(meet(X0,X1),meet(sF0,join(X0,X1))),
inference(forward_demodulation,[],[f2670,f2669]) ).
fof(f2695,plain,
! [X0,X1] : join(meet(X0,X1),meet(sF0,join(X0,X1))) = join(meet(X1,X0),meet(sF0,join(X1,X0))),
inference(forward_demodulation,[],[f2685,f167]) ).
fof(f2752,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(join(X1,X0),meet(X0,X2)),
inference(superposition,[],[f162,f140]) ).
fof(f2826,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(X2,join(X1,X0))),
inference(forward_demodulation,[],[f2752,f176]) ).
fof(f2844,plain,
! [X0,X1] : meet(a,join(meet(a,X0),X1)) = join(meet(X1,a),meet(a,X0)),
inference(backward_demodulation,[],[f533,f2826]) ).
fof(f2854,plain,
! [X0] : join(meet(sF0,a),X0) = join(X0,meet(a,join(meet(a,join(sF0,X0)),sF0))),
inference(backward_demodulation,[],[f1221,f2844]) ).
fof(f2862,plain,
! [X0] : join(meet(sF0,a),X0) = join(X0,meet(a,join(sF0,meet(a,join(sF0,X0))))),
inference(forward_demodulation,[],[f2854,f1147]) ).
fof(f2959,plain,
! [X0] : meet(sF3,X0) = meet(sF0,meet(sF3,X0)),
inference(superposition,[],[f281,f168]) ).
fof(f2960,plain,
! [X0] : meet(sF4,X0) = meet(sF0,meet(sF4,X0)),
inference(superposition,[],[f281,f169]) ).
fof(f2962,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(sF0,X0)),
inference(superposition,[],[f281,f167]) ).
fof(f2971,plain,
sF0 = meet(a,sF0),
inference(superposition,[],[f281,f14]) ).
fof(f2973,plain,
sF3 = meet(sF0,sF3),
inference(superposition,[],[f281,f20]) ).
fof(f3016,plain,
! [X0] : meet(sF0,meet(sF1,X0)) = meet(sF2,meet(sF1,X0)),
inference(superposition,[],[f170,f281]) ).
fof(f3017,plain,
! [X0] : meet(sF0,meet(sF1,X0)) = meet(sF1,meet(X0,sF2)),
inference(forward_demodulation,[],[f3016,f176]) ).
fof(f3052,plain,
sF0 = meet(sF0,a),
inference(forward_demodulation,[],[f2971,f1]) ).
fof(f3053,plain,
! [X0] : meet(sF0,X0) = meet(sF0,meet(X0,a)),
inference(forward_demodulation,[],[f2962,f176]) ).
fof(f3056,plain,
! [X0] : meet(sF2,X0) = meet(sF1,meet(X0,sF2)),
inference(forward_demodulation,[],[f3017,f170]) ).
fof(f3109,plain,
! [X0] : join(sF0,X0) = join(X0,meet(a,join(sF0,meet(a,join(sF0,X0))))),
inference(backward_demodulation,[],[f2862,f3052]) ).
fof(f3111,plain,
! [X0] : join(meet(z3,X0),meet(sF0,meet(a,join(z3,X0)))) = meet(join(meet(sF4,a),X0),join(z3,meet(sF0,X0))),
inference(backward_demodulation,[],[f201,f3053]) ).
fof(f3112,plain,
! [X0] : join(meet(X0,z3),meet(sF0,meet(a,join(X0,z3)))) = meet(join(meet(sF4,a),X0),join(z3,meet(sF0,X0))),
inference(backward_demodulation,[],[f202,f3053]) ).
fof(f3113,plain,
! [X0] : join(meet(z2,X0),meet(sF0,meet(a,join(z2,X0)))) = meet(join(meet(sF3,a),X0),join(z2,meet(sF0,X0))),
inference(backward_demodulation,[],[f203,f3053]) ).
fof(f3114,plain,
! [X0] : join(meet(X0,z2),meet(sF0,meet(a,join(X0,z2)))) = meet(join(meet(sF3,a),X0),join(z2,meet(sF0,X0))),
inference(backward_demodulation,[],[f204,f3053]) ).
fof(f3161,plain,
! [X0] : join(meet(X0,z2),meet(sF0,meet(a,join(X0,z2)))) = meet(join(z2,meet(sF0,X0)),join(meet(sF3,a),X0)),
inference(forward_demodulation,[],[f3114,f1]) ).
fof(f3162,plain,
! [X0] : join(meet(z2,X0),meet(sF0,meet(a,join(z2,X0)))) = meet(join(z2,meet(sF0,X0)),join(meet(sF3,a),X0)),
inference(forward_demodulation,[],[f3113,f1]) ).
fof(f3163,plain,
! [X0] : join(meet(X0,z3),meet(sF0,meet(a,join(X0,z3)))) = meet(join(z3,meet(sF0,X0)),join(meet(sF4,a),X0)),
inference(forward_demodulation,[],[f3112,f1]) ).
fof(f3164,plain,
! [X0] : join(meet(z3,X0),meet(sF0,meet(a,join(z3,X0)))) = meet(join(z3,meet(sF0,X0)),join(meet(sF4,a),X0)),
inference(forward_demodulation,[],[f3111,f1]) ).
fof(f3710,plain,
! [X0,X1] : meet(join(z3,meet(sF0,meet(X0,X1))),join(meet(sF4,a),meet(X0,X1))) = join(meet(X0,meet(X1,z3)),meet(sF0,meet(a,join(meet(X0,X1),z3)))),
inference(superposition,[],[f3163,f2]) ).
fof(f3711,plain,
meet(join(z3,meet(sF0,z3)),join(meet(sF4,a),z3)) = join(meet(z3,z3),meet(sF0,meet(a,z3))),
inference(superposition,[],[f3163,f46]) ).
fof(f3733,plain,
meet(join(z3,meet(sF0,z3)),join(meet(sF4,a),z3)) = join(meet(z3,z3),meet(sF4,a)),
inference(forward_demodulation,[],[f3711,f763]) ).
fof(f3734,plain,
! [X0,X1] : meet(join(z3,meet(sF0,meet(X0,X1))),join(meet(sF4,a),meet(X0,X1))) = join(meet(X0,meet(X1,z3)),meet(sF0,meet(a,join(z3,meet(X0,X1))))),
inference(forward_demodulation,[],[f3710,f3]) ).
fof(f3743,plain,
meet(join(z3,meet(sF0,z3)),join(meet(sF4,a),z3)) = join(meet(sF4,a),meet(z3,z3)),
inference(forward_demodulation,[],[f3733,f3]) ).
fof(f3749,plain,
join(meet(sF4,a),z3) = meet(join(z3,meet(sF0,z3)),join(meet(sF4,a),z3)),
inference(forward_demodulation,[],[f3743,f49]) ).
fof(f3755,plain,
join(z3,meet(sF4,a)) = meet(join(z3,meet(sF0,z3)),join(z3,meet(sF4,a))),
inference(forward_demodulation,[],[f3749,f3]) ).
fof(f3760,plain,
join(z3,meet(sF4,a)) = meet(z3,join(z3,meet(sF4,a))),
inference(forward_demodulation,[],[f3755,f106]) ).
fof(f3764,plain,
z3 = join(z3,meet(sF4,a)),
inference(forward_demodulation,[],[f3760,f6]) ).
fof(f3897,plain,
! [X0,X1] : meet(join(z2,meet(sF0,meet(X0,X1))),join(meet(sF3,a),meet(X0,X1))) = join(meet(X0,meet(X1,z2)),meet(sF0,meet(a,join(meet(X0,X1),z2)))),
inference(superposition,[],[f3161,f2]) ).
fof(f3898,plain,
meet(join(z2,meet(sF0,z2)),join(meet(sF3,a),z2)) = join(meet(z2,z2),meet(sF0,meet(a,z2))),
inference(superposition,[],[f3161,f46]) ).
fof(f3918,plain,
meet(join(z2,meet(sF0,z2)),join(meet(sF3,a),z2)) = join(meet(z2,z2),meet(sF3,a)),
inference(forward_demodulation,[],[f3898,f404]) ).
fof(f3919,plain,
! [X0,X1] : meet(join(z2,meet(sF0,meet(X0,X1))),join(meet(sF3,a),meet(X0,X1))) = join(meet(X0,meet(X1,z2)),meet(sF0,meet(a,join(z2,meet(X0,X1))))),
inference(forward_demodulation,[],[f3897,f3]) ).
fof(f3927,plain,
meet(join(z2,meet(sF0,z2)),join(meet(sF3,a),z2)) = join(meet(sF3,a),meet(z2,z2)),
inference(forward_demodulation,[],[f3918,f3]) ).
fof(f3932,plain,
join(meet(sF3,a),z2) = meet(join(z2,meet(sF0,z2)),join(meet(sF3,a),z2)),
inference(forward_demodulation,[],[f3927,f49]) ).
fof(f3937,plain,
join(z2,meet(sF3,a)) = meet(join(z2,meet(sF0,z2)),join(z2,meet(sF3,a))),
inference(forward_demodulation,[],[f3932,f3]) ).
fof(f3941,plain,
join(z2,meet(sF3,a)) = meet(z2,join(z2,meet(sF3,a))),
inference(forward_demodulation,[],[f3937,f106]) ).
fof(f3944,plain,
z2 = join(z2,meet(sF3,a)),
inference(forward_demodulation,[],[f3941,f6]) ).
fof(f4070,plain,
meet(sF0,z2) = meet(sF2,z2),
inference(superposition,[],[f170,f67]) ).
fof(f4103,plain,
meet(sF0,z2) = meet(z2,sF2),
inference(forward_demodulation,[],[f4070,f1]) ).
fof(f4115,plain,
sF3 = meet(z2,sF2),
inference(forward_demodulation,[],[f4103,f20]) ).
fof(f4136,plain,
! [X0] : meet(sF0,X0) = meet(sF0,meet(a,X0)),
inference(superposition,[],[f165,f73]) ).
fof(f4139,plain,
! [X0] : join(meet(a,sF0),meet(a,X0)) = join(meet(a,sF0),meet(X0,a)),
inference(superposition,[],[f330,f73]) ).
fof(f4140,plain,
! [X0] : join(meet(sF0,a),meet(a,X0)) = join(meet(sF0,a),meet(X0,a)),
inference(forward_demodulation,[],[f4139,f1]) ).
fof(f4164,plain,
! [X0] : meet(join(z3,meet(sF0,X0)),join(meet(sF4,a),X0)) = join(meet(X0,z3),meet(sF0,join(X0,z3))),
inference(backward_demodulation,[],[f3163,f4136]) ).
fof(f4175,plain,
! [X0] : meet(join(z2,meet(sF0,X0)),join(meet(sF3,a),X0)) = join(meet(z2,X0),meet(sF0,join(z2,X0))),
inference(backward_demodulation,[],[f3162,f4136]) ).
fof(f4177,plain,
! [X0,X1] : meet(join(z2,meet(sF0,meet(X0,X1))),join(meet(sF3,a),meet(X0,X1))) = join(meet(X0,meet(X1,z2)),meet(sF0,join(z2,meet(X0,X1)))),
inference(backward_demodulation,[],[f3919,f4136]) ).
fof(f4179,plain,
! [X0] : meet(join(z3,meet(sF0,X0)),join(meet(sF4,a),X0)) = join(meet(z3,X0),meet(sF0,join(z3,X0))),
inference(backward_demodulation,[],[f3164,f4136]) ).
fof(f4181,plain,
! [X0,X1] : meet(join(z3,meet(sF0,meet(X0,X1))),join(meet(sF4,a),meet(X0,X1))) = join(meet(X0,meet(X1,z3)),meet(sF0,join(z3,meet(X0,X1)))),
inference(backward_demodulation,[],[f3734,f4136]) ).
fof(f4186,plain,
! [X0] : join(sF0,meet(a,X0)) = join(sF0,meet(X0,a)),
inference(forward_demodulation,[],[f4140,f3052]) ).
fof(f4192,plain,
! [X0,X1] : join(meet(X0,meet(X1,z3)),meet(sF0,join(z3,meet(X0,X1)))) = join(meet(z3,meet(X0,X1)),meet(sF0,join(z3,meet(X0,X1)))),
inference(backward_demodulation,[],[f4181,f4179]) ).
fof(f4195,plain,
! [X0,X1] : join(meet(X0,meet(X1,z2)),meet(sF0,join(z2,meet(X0,X1)))) = join(meet(z2,meet(X0,X1)),meet(sF0,join(z2,meet(X0,X1)))),
inference(backward_demodulation,[],[f4177,f4175]) ).
fof(f4268,plain,
join(meet(z2,z3),meet(sF0,join(z2,z3))) = meet(join(z2,sF4),join(meet(sF3,a),z3)),
inference(superposition,[],[f4175,f22]) ).
fof(f4273,plain,
join(meet(z2,meet(sF3,a)),meet(sF0,join(z2,meet(sF3,a)))) = meet(join(z2,meet(sF0,meet(sF3,a))),meet(sF3,a)),
inference(superposition,[],[f4175,f46]) ).
fof(f4318,plain,
join(meet(z2,meet(sF3,a)),meet(sF0,join(z2,meet(sF3,a)))) = meet(meet(sF3,a),join(z2,meet(sF0,meet(sF3,a)))),
inference(forward_demodulation,[],[f4273,f1]) ).
fof(f4323,plain,
join(meet(z2,z3),meet(sF0,join(z2,z3))) = meet(join(z2,sF4),join(z3,meet(sF3,a))),
inference(forward_demodulation,[],[f4268,f3]) ).
fof(f4348,plain,
join(meet(z2,meet(sF3,a)),meet(sF0,join(z2,meet(sF3,a)))) = meet(sF3,meet(a,join(z2,meet(sF0,meet(sF3,a))))),
inference(forward_demodulation,[],[f4318,f2]) ).
fof(f4353,plain,
join(meet(z2,z3),meet(sF0,join(z2,z3))) = meet(join(sF4,z2),join(z3,meet(sF3,a))),
inference(forward_demodulation,[],[f4323,f3]) ).
fof(f4377,plain,
join(meet(z2,meet(sF3,a)),meet(sF0,join(z2,meet(sF3,a)))) = meet(sF3,meet(a,join(z2,meet(sF3,a)))),
inference(forward_demodulation,[],[f4348,f2959]) ).
fof(f4382,plain,
meet(join(sF4,z2),join(z3,meet(sF3,a))) = join(meet(z2,z3),meet(sF0,sF1)),
inference(forward_demodulation,[],[f4353,f16]) ).
fof(f4397,plain,
meet(sF3,a) = join(meet(z2,meet(sF3,a)),meet(sF0,join(z2,meet(sF3,a)))),
inference(forward_demodulation,[],[f4377,f182]) ).
fof(f4402,plain,
meet(join(sF4,z2),join(z3,meet(sF3,a))) = join(meet(sF0,sF1),meet(z2,z3)),
inference(forward_demodulation,[],[f4382,f3]) ).
fof(f4414,plain,
meet(sF3,a) = join(meet(sF3,meet(a,z2)),meet(sF0,join(z2,meet(sF3,a)))),
inference(forward_demodulation,[],[f4397,f4195]) ).
fof(f4419,plain,
meet(join(sF4,z2),join(z3,meet(sF3,a))) = join(sF2,meet(z2,z3)),
inference(forward_demodulation,[],[f4402,f18]) ).
fof(f4426,plain,
meet(sF3,a) = join(meet(sF3,meet(a,z2)),meet(sF0,z2)),
inference(forward_demodulation,[],[f4414,f3944]) ).
fof(f4432,plain,
meet(sF3,a) = join(meet(sF0,z2),meet(sF3,meet(a,z2))),
inference(forward_demodulation,[],[f4426,f3]) ).
fof(f4438,plain,
meet(sF3,a) = join(sF3,meet(sF3,meet(a,z2))),
inference(forward_demodulation,[],[f4432,f20]) ).
fof(f4443,plain,
sF3 = meet(sF3,a),
inference(forward_demodulation,[],[f4438,f5]) ).
fof(f4482,plain,
join(sF2,meet(z2,z3)) = meet(join(sF4,z2),join(z3,sF3)),
inference(backward_demodulation,[],[f4419,f4443]) ).
fof(f4490,plain,
join(sF2,meet(z2,z3)) = meet(join(sF4,z2),join(sF3,z3)),
inference(forward_demodulation,[],[f4482,f3]) ).
fof(f4518,plain,
join(sF2,meet(z2,z3)) = meet(join(sF3,z3),join(sF4,z2)),
inference(forward_demodulation,[],[f4490,f1]) ).
fof(f4888,plain,
join(sF3,z3) = join(join(sF3,z3),join(sF2,meet(z2,z3))),
inference(superposition,[],[f5,f4518]) ).
fof(f4919,plain,
join(sF3,z3) = join(meet(z2,z3),join(join(sF3,z3),sF2)),
inference(forward_demodulation,[],[f4888,f220]) ).
fof(f4933,plain,
join(sF3,z3) = join(sF2,join(meet(z2,z3),join(sF3,z3))),
inference(forward_demodulation,[],[f4919,f220]) ).
fof(f4946,plain,
join(sF3,z3) = join(sF3,join(z3,join(sF2,meet(z2,z3)))),
inference(forward_demodulation,[],[f4933,f2359]) ).
fof(f4969,plain,
join(meet(z3,sF1),meet(sF0,join(z3,sF1))) = meet(join(z3,sF2),join(meet(sF4,a),sF1)),
inference(superposition,[],[f4179,f18]) ).
fof(f4973,plain,
join(meet(z3,meet(sF4,a)),meet(sF0,join(z3,meet(sF4,a)))) = meet(join(z3,meet(sF0,meet(sF4,a))),meet(sF4,a)),
inference(superposition,[],[f4179,f46]) ).
fof(f5018,plain,
join(meet(z3,meet(sF4,a)),meet(sF0,join(z3,meet(sF4,a)))) = meet(meet(sF4,a),join(z3,meet(sF0,meet(sF4,a)))),
inference(forward_demodulation,[],[f4973,f1]) ).
fof(f5022,plain,
join(meet(z3,sF1),meet(sF0,join(z3,sF1))) = meet(join(z3,sF2),join(sF1,meet(sF4,a))),
inference(forward_demodulation,[],[f4969,f3]) ).
fof(f5049,plain,
join(meet(z3,meet(sF4,a)),meet(sF0,join(z3,meet(sF4,a)))) = meet(sF4,meet(a,join(z3,meet(sF0,meet(sF4,a))))),
inference(forward_demodulation,[],[f5018,f2]) ).
fof(f5053,plain,
meet(join(z3,sF2),join(sF1,meet(sF4,a))) = join(meet(sF1,z3),meet(sF0,join(sF1,z3))),
inference(forward_demodulation,[],[f5022,f2695]) ).
fof(f5078,plain,
join(meet(z3,meet(sF4,a)),meet(sF0,join(z3,meet(sF4,a)))) = meet(sF4,meet(a,join(z3,meet(sF4,a)))),
inference(forward_demodulation,[],[f5049,f2960]) ).
fof(f5082,plain,
meet(join(z3,sF2),join(sF1,meet(sF4,a))) = join(meet(sF1,z3),meet(sF0,sF1)),
inference(forward_demodulation,[],[f5053,f2544]) ).
fof(f5099,plain,
meet(sF4,a) = join(meet(z3,meet(sF4,a)),meet(sF0,join(z3,meet(sF4,a)))),
inference(forward_demodulation,[],[f5078,f182]) ).
fof(f5103,plain,
meet(join(z3,sF2),join(sF1,meet(sF4,a))) = join(meet(sF0,sF1),meet(sF1,z3)),
inference(forward_demodulation,[],[f5082,f3]) ).
fof(f5117,plain,
meet(sF4,a) = join(meet(sF4,meet(a,z3)),meet(sF0,join(z3,meet(sF4,a)))),
inference(forward_demodulation,[],[f5099,f4192]) ).
fof(f5121,plain,
meet(join(z3,sF2),join(sF1,meet(sF4,a))) = join(meet(sF0,sF1),z3),
inference(forward_demodulation,[],[f5103,f158]) ).
fof(f5129,plain,
meet(sF4,a) = join(meet(sF4,meet(a,z3)),meet(sF0,z3)),
inference(forward_demodulation,[],[f5117,f3764]) ).
fof(f5132,plain,
join(z3,meet(sF0,sF1)) = meet(join(z3,sF2),join(sF1,meet(sF4,a))),
inference(forward_demodulation,[],[f5121,f3]) ).
fof(f5136,plain,
meet(sF4,a) = join(meet(sF0,z3),meet(sF4,meet(a,z3))),
inference(forward_demodulation,[],[f5129,f3]) ).
fof(f5139,plain,
join(z3,sF2) = meet(join(z3,sF2),join(sF1,meet(sF4,a))),
inference(forward_demodulation,[],[f5132,f18]) ).
fof(f5143,plain,
meet(sF4,a) = join(sF4,meet(sF4,meet(a,z3))),
inference(forward_demodulation,[],[f5136,f22]) ).
fof(f5147,plain,
sF4 = meet(sF4,a),
inference(forward_demodulation,[],[f5143,f5]) ).
fof(f5155,plain,
! [X0] : join(meet(X0,z3),meet(sF0,join(X0,z3))) = meet(join(z3,meet(sF0,X0)),join(sF4,X0)),
inference(backward_demodulation,[],[f4164,f5147]) ).
fof(f5187,plain,
join(z3,sF2) = meet(join(z3,sF2),join(sF1,sF4)),
inference(backward_demodulation,[],[f5139,f5147]) ).
fof(f5190,plain,
join(z3,sF2) = meet(join(sF1,sF4),join(z3,sF2)),
inference(forward_demodulation,[],[f5187,f1]) ).
fof(f5214,plain,
! [X0] : join(meet(X0,z3),meet(sF0,join(X0,z3))) = meet(join(sF4,X0),join(z3,meet(sF0,X0))),
inference(forward_demodulation,[],[f5155,f1]) ).
fof(f5687,plain,
! [X0] : join(sF0,meet(X0,a)) = join(meet(a,X0),meet(a,join(sF0,meet(a,join(sF0,meet(X0,a)))))),
inference(superposition,[],[f3109,f4186]) ).
fof(f5723,plain,
! [X0,X1] : join(X0,meet(a,join(sF0,meet(a,join(sF0,meet(X0,X1)))))) = join(X0,join(sF0,meet(X0,X1))),
inference(superposition,[],[f207,f3109]) ).
fof(f5732,plain,
! [X0,X1] : join(X0,sF0) = join(X0,meet(a,join(sF0,meet(a,join(sF0,meet(X0,X1)))))),
inference(forward_demodulation,[],[f5723,f247]) ).
fof(f5758,plain,
! [X0] : join(sF0,meet(X0,a)) = meet(a,join(meet(a,join(sF0,meet(a,join(sF0,meet(X0,a))))),X0)),
inference(forward_demodulation,[],[f5687,f538]) ).
fof(f5781,plain,
! [X0] : join(sF0,meet(X0,a)) = meet(a,join(X0,meet(a,join(sF0,meet(a,join(sF0,meet(X0,a))))))),
inference(forward_demodulation,[],[f5758,f1147]) ).
fof(f5802,plain,
! [X0] : meet(a,join(X0,sF0)) = join(sF0,meet(X0,a)),
inference(forward_demodulation,[],[f5781,f5732]) ).
fof(f5851,plain,
join(sF2,meet(sF1,a)) = meet(sF1,meet(a,join(sF1,sF0))),
inference(backward_demodulation,[],[f628,f5802]) ).
fof(f5875,plain,
meet(sF1,a) = join(sF2,meet(sF1,a)),
inference(forward_demodulation,[],[f5851,f289]) ).
fof(f6576,plain,
! [X2,X0,X1] : join(meet(join(X1,X0),X2),meet(a,meet(X0,join(join(X1,X0),X2)))) = meet(join(X2,meet(a,X0)),join(meet(a,meet(X0,X2)),join(X1,X0))),
inference(superposition,[],[f142,f140]) ).
fof(f6804,plain,
! [X2,X0,X1] : join(meet(join(X1,X0),X2),meet(a,meet(X0,join(join(X1,X0),X2)))) = meet(join(X2,meet(a,X0)),join(X0,join(meet(a,meet(X0,X2)),X1))),
inference(forward_demodulation,[],[f6576,f220]) ).
fof(f6916,plain,
! [X2,X0,X1] : join(meet(join(X1,X0),X2),meet(a,meet(X0,join(join(X1,X0),X2)))) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f6804,f1794]) ).
fof(f7016,plain,
! [X2,X0,X1] : join(meet(join(X1,X0),X2),meet(a,meet(X0,join(X1,join(X0,X2))))) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f6916,f4]) ).
fof(f7102,plain,
! [X2,X0,X1] : join(meet(join(X1,X0),X2),meet(a,X0)) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f7016,f312]) ).
fof(f7179,plain,
! [X2,X0,X1] : join(meet(a,X0),meet(join(X1,X0),X2)) = meet(join(X2,meet(a,X0)),join(X0,X1)),
inference(forward_demodulation,[],[f7102,f3]) ).
fof(f7716,plain,
! [X0] : meet(join(X0,meet(a,z3)),join(z3,z2)) = join(meet(a,z3),meet(sF1,X0)),
inference(superposition,[],[f7179,f16]) ).
fof(f7810,plain,
! [X0] : join(meet(a,z3),meet(sF1,X0)) = meet(join(z3,z2),join(X0,meet(a,z3))),
inference(forward_demodulation,[],[f7716,f1]) ).
fof(f7891,plain,
! [X0] : join(meet(a,z3),meet(sF1,X0)) = meet(join(z2,z3),join(X0,meet(a,z3))),
inference(forward_demodulation,[],[f7810,f3]) ).
fof(f7945,plain,
! [X0] : join(meet(a,z3),meet(sF1,X0)) = meet(sF1,join(X0,meet(a,z3))),
inference(forward_demodulation,[],[f7891,f16]) ).
fof(f10639,plain,
! [X0] : meet(sF2,X0) = meet(sF2,meet(meet(sF1,a),X0)),
inference(superposition,[],[f165,f5875]) ).
fof(f10653,plain,
! [X0] : meet(sF2,X0) = meet(sF2,meet(sF1,meet(a,X0))),
inference(forward_demodulation,[],[f10639,f2]) ).
fof(f10660,plain,
! [X0] : meet(sF2,X0) = meet(sF1,meet(meet(a,X0),sF2)),
inference(forward_demodulation,[],[f10653,f176]) ).
fof(f10666,plain,
! [X0] : meet(sF2,X0) = meet(sF2,meet(a,X0)),
inference(forward_demodulation,[],[f10660,f3056]) ).
fof(f10671,plain,
! [X0] : meet(sF2,X0) = meet(a,meet(X0,sF2)),
inference(forward_demodulation,[],[f10666,f176]) ).
fof(f10882,plain,
meet(a,z3) = meet(sF1,join(meet(a,z3),meet(a,z3))),
inference(superposition,[],[f106,f7945]) ).
fof(f10904,plain,
meet(a,z3) = meet(sF1,meet(a,z3)),
inference(forward_demodulation,[],[f10882,f46]) ).
fof(f10986,plain,
meet(sF0,meet(a,z3)) = meet(sF2,meet(a,z3)),
inference(superposition,[],[f170,f10904]) ).
fof(f11023,plain,
meet(sF0,meet(a,z3)) = meet(z3,meet(sF2,a)),
inference(forward_demodulation,[],[f10986,f176]) ).
fof(f11040,plain,
meet(sF0,meet(a,z3)) = meet(a,meet(z3,sF2)),
inference(forward_demodulation,[],[f11023,f176]) ).
fof(f11056,plain,
meet(sF0,meet(a,z3)) = meet(sF2,z3),
inference(forward_demodulation,[],[f11040,f10671]) ).
fof(f11072,plain,
meet(sF0,meet(a,z3)) = meet(z3,sF2),
inference(forward_demodulation,[],[f11056,f1]) ).
fof(f11086,plain,
meet(sF0,z3) = meet(z3,sF2),
inference(forward_demodulation,[],[f11072,f4136]) ).
fof(f11096,plain,
sF4 = meet(z3,sF2),
inference(forward_demodulation,[],[f11086,f22]) ).
fof(f11130,plain,
sF2 = join(sF2,sF4),
inference(superposition,[],[f106,f11096]) ).
fof(f11160,plain,
sF2 = join(sF4,sF2),
inference(forward_demodulation,[],[f11130,f3]) ).
fof(f11237,plain,
join(sF5,sF2) = join(sF3,sF2),
inference(superposition,[],[f213,f11160]) ).
fof(f11256,plain,
join(sF3,sF2) = join(sF2,sF5),
inference(forward_demodulation,[],[f11237,f3]) ).
fof(f12059,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f208,f3]) ).
fof(f12141,plain,
join(sF3,z3) = join(sF3,join(z3,sF2)),
inference(backward_demodulation,[],[f4946,f12059]) ).
fof(f13714,plain,
sF2 = join(sF2,sF3),
inference(superposition,[],[f106,f4115]) ).
fof(f13726,plain,
! [X0] : join(sF2,X0) = join(sF2,join(sF3,X0)),
inference(superposition,[],[f208,f4115]) ).
fof(f13737,plain,
! [X0] : join(sF2,X0) = join(sF3,join(X0,sF2)),
inference(forward_demodulation,[],[f13726,f220]) ).
fof(f13748,plain,
sF2 = join(sF3,sF2),
inference(forward_demodulation,[],[f13714,f3]) ).
fof(f13757,plain,
join(sF3,z3) = join(sF2,z3),
inference(backward_demodulation,[],[f12141,f13737]) ).
fof(f13765,plain,
sF2 = join(sF2,sF5),
inference(backward_demodulation,[],[f11256,f13748]) ).
fof(f13772,plain,
join(sF3,z3) = join(z3,sF2),
inference(forward_demodulation,[],[f13757,f3]) ).
fof(f13786,plain,
join(sF3,z3) = meet(join(sF1,sF4),join(sF3,z3)),
inference(backward_demodulation,[],[f5190,f13772]) ).
fof(f13835,plain,
sF5 = meet(sF5,sF2),
inference(superposition,[],[f140,f13765]) ).
fof(f13850,plain,
sF5 = meet(sF2,sF5),
inference(forward_demodulation,[],[f13835,f1]) ).
fof(f13968,plain,
sF2 = meet(sF2,join(sF3,z3)),
inference(superposition,[],[f140,f13772]) ).
fof(f13999,plain,
! [X0] : meet(sF2,X0) = meet(join(sF3,z3),meet(sF2,X0)),
inference(superposition,[],[f162,f13968]) ).
fof(f14015,plain,
! [X0] : meet(sF2,X0) = meet(sF2,meet(X0,join(sF3,z3))),
inference(forward_demodulation,[],[f13999,f176]) ).
fof(f14415,plain,
join(z2,z3) = join(sF1,sF4),
inference(superposition,[],[f2520,f123]) ).
fof(f14443,plain,
sF1 = join(sF1,sF4),
inference(forward_demodulation,[],[f14415,f16]) ).
fof(f14450,plain,
join(sF3,z3) = meet(sF1,join(sF3,z3)),
inference(backward_demodulation,[],[f13786,f14443]) ).
fof(f14480,plain,
meet(sF2,join(sF3,z3)) = meet(sF0,join(sF3,z3)),
inference(superposition,[],[f170,f14450]) ).
fof(f14521,plain,
sF2 = meet(sF0,join(sF3,z3)),
inference(forward_demodulation,[],[f14480,f13968]) ).
fof(f22292,plain,
meet(join(sF4,sF3),join(z3,meet(sF0,sF3))) = join(meet(sF3,z3),sF2),
inference(superposition,[],[f5214,f14521]) ).
fof(f22327,plain,
meet(join(sF4,sF3),join(z3,meet(sF0,sF3))) = join(sF2,meet(sF3,z3)),
inference(forward_demodulation,[],[f22292,f3]) ).
fof(f22350,plain,
join(sF2,meet(sF3,z3)) = meet(join(sF4,sF3),join(z3,sF3)),
inference(forward_demodulation,[],[f22327,f2973]) ).
fof(f22366,plain,
join(sF2,meet(sF3,z3)) = meet(join(sF4,sF3),join(sF3,z3)),
inference(forward_demodulation,[],[f22350,f3]) ).
fof(f22378,plain,
join(sF2,meet(sF3,z3)) = meet(join(sF3,z3),join(sF4,sF3)),
inference(forward_demodulation,[],[f22366,f1]) ).
fof(f22388,plain,
join(sF2,meet(sF3,z3)) = meet(join(sF3,z3),join(sF3,sF4)),
inference(forward_demodulation,[],[f22378,f3]) ).
fof(f22397,plain,
join(sF2,meet(sF3,z3)) = meet(join(sF3,sF4),join(sF3,z3)),
inference(forward_demodulation,[],[f22388,f1]) ).
fof(f22405,plain,
join(sF2,meet(sF3,z3)) = meet(sF5,join(sF3,z3)),
inference(forward_demodulation,[],[f22397,f24]) ).
fof(f22429,plain,
sF2 = meet(sF2,meet(sF5,join(sF3,z3))),
inference(superposition,[],[f6,f22405]) ).
fof(f22455,plain,
sF2 = meet(sF2,sF5),
inference(forward_demodulation,[],[f22429,f14015]) ).
fof(f22466,plain,
sF2 = sF5,
inference(backward_demodulation,[],[f13850,f22455]) ).
fof(f22475,plain,
$false,
inference(forward_subsumption_resolution,[],[f22466,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT399-1 : TPTP v9.3.1. Released v8.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n001.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 15:21:16 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.97/3.81 % (3696700)Detected a unit-equality problem, will run specialized UEQ schedule.
% 8.97/3.81 % (3696706)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=228137985:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 8.97/3.81 % (3696705)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=610169814:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 8.97/3.81 % (3696708)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3875899809:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 8.97/3.81 % (3696707)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=2527343555:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 8.97/3.81 % (3696709)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2864176753:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 8.97/3.81 % (3696710)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=361583097:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 8.97/3.81 % (3696711)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=3409510705:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 8.97/3.81 % (3696708)Instruction limit reached!
% 8.97/3.81 % (3696708)------------------------------
% 8.97/3.81 % (3696708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696708)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696708)Termination reason: Instruction limit
% 8.97/3.81 % (3696708)Termination phase: Saturation
% 8.97/3.81 % (3696708)Time elapsed: 0.080 s
% 8.97/3.81 % (3696708)Peak memory usage: 89 MB
% 8.97/3.81 % (3696708)Instructions burned: 136 (million)
% 8.97/3.81 % (3696709)Instruction limit reached!
% 8.97/3.81 % (3696709)------------------------------
% 8.97/3.81 % (3696709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696709)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696709)Termination reason: Instruction limit
% 8.97/3.81 % (3696709)Termination phase: Saturation
% 8.97/3.81 % (3696709)Time elapsed: 0.106 s
% 8.97/3.81 % (3696709)Peak memory usage: 89 MB
% 8.97/3.81 % (3696709)Instructions burned: 181 (million)
% 8.97/3.81 % (3696710)Instruction limit reached!
% 8.97/3.81 % (3696710)------------------------------
% 8.97/3.81 % (3696710)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696710)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696710)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696710)Termination reason: Instruction limit
% 8.97/3.81 % (3696710)Termination phase: Saturation
% 8.97/3.81 % (3696710)Time elapsed: 0.170 s
% 8.97/3.81 % (3696710)Peak memory usage: 90 MB
% 8.97/3.81 % (3696710)Instructions burned: 258 (million)
% 8.97/3.81 % (3696719)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1220605279:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 8.97/3.81 % (3696720)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=1813809936:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 8.97/3.81 % (3696721)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=1204826248:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 8.97/3.81 % (3696721)Instruction limit reached!
% 8.97/3.81 % (3696721)------------------------------
% 8.97/3.81 % (3696721)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696721)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696721)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696721)Termination reason: Instruction limit
% 8.97/3.81 % (3696721)Termination phase: Saturation
% 8.97/3.81 % (3696721)Time elapsed: 0.115 s
% 8.97/3.81 % (3696721)Peak memory usage: 90 MB
% 8.97/3.81 % (3696721)Instructions burned: 215 (million)
% 8.97/3.81 % (3696725)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=1130621476: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)
% 8.97/3.81 % (3696711)Instruction limit reached!
% 8.97/3.81 % (3696711)------------------------------
% 8.97/3.81 % (3696711)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696711)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696711)Termination reason: Instruction limit
% 8.97/3.81 % (3696711)Termination phase: Saturation
% 8.97/3.81 % (3696711)Time elapsed: 0.645 s
% 8.97/3.81 % (3696711)Peak memory usage: 97 MB
% 8.97/3.81 % (3696711)Instructions burned: 1187 (million)
% 8.97/3.81 % (3696725)Instruction limit reached!
% 8.97/3.81 % (3696725)------------------------------
% 8.97/3.81 % (3696725)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696725)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696725)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696725)Termination reason: Instruction limit
% 8.97/3.81 % (3696725)Termination phase: Saturation
% 8.97/3.81 % (3696725)Time elapsed: 0.195 s
% 8.97/3.81 % (3696725)Peak memory usage: 92 MB
% 8.97/3.81 % (3696725)Instructions burned: 318 (million)
% 8.97/3.81 % (3696727)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=2606700668:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2991 on theBenchmark for (2991ds/12125Mi)
% 8.97/3.81 % (3696728)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=1814362736:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 8.97/3.81 % (3696719)Instruction limit reached!
% 8.97/3.81 % (3696719)------------------------------
% 8.97/3.81 % (3696719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696719)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696719)Termination reason: Instruction limit
% 8.97/3.81 % (3696719)Termination phase: Saturation
% 8.97/3.81 % (3696719)Time elapsed: 1.337 s
% 8.97/3.81 % (3696719)Peak memory usage: 140 MB
% 8.97/3.81 % (3696719)Instructions burned: 2053 (million)
% 8.97/3.81 % (3696731)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2428835957:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2983 on theBenchmark for (2983ds/14534Mi)
% 8.97/3.81 % (3696728)Instruction limit reached!
% 8.97/3.81 % (3696728)------------------------------
% 8.97/3.81 % (3696728)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.97/3.81 % (3696728)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.97/3.81 % (3696728)CaDiCaL version: 2.1.3
% 8.97/3.81 % (3696728)Termination reason: Instruction limit
% 8.97/3.81 % (3696728)Termination phase: Saturation
% 8.97/3.81 % (3696728)Time elapsed: 1.635 s
% 8.97/3.81 % (3696728)Peak memory usage: 110 MB
% 8.97/3.81 % (3696728)Instructions burned: 2836 (million)
% 8.97/3.81 % (3696707)First to succeed.
% 8.97/3.81 % (3696707)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3696700"
% 8.97/3.81 % (3696733)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2048350003:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2973 on theBenchmark for (2973ds/11832Mi)
% 8.97/3.81 % (3696707)Refutation found. Thanks to Tanya!
% 8.97/3.81 % SZS status Unsatisfiable for theBenchmark
% 8.97/3.81 % SZS output start Proof for theBenchmark
% See solution above
% 21.35/4.01 % (3696707)------------------------------
% 21.35/4.01 % (3696707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.35/4.01 % (3696707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.35/4.01 % (3696707)CaDiCaL version: 2.1.3
% 21.35/4.01 % (3696707)Termination reason: Refutation
% 21.35/4.01 % (3696707)Time elapsed: 2.523 s
% 21.35/4.01 % (3696707)Peak memory usage: 155 MB
% 21.35/4.01 % (3696707)Instructions burned: 4062 (million)
% 21.35/4.01 % (3696707)------------------------------
% 21.35/4.01 % (3696707)------------------------------
% 21.35/4.01 % (3696700)Success in time 2.936 s
% 21.35/4.01 % Vampire exiting
%------------------------------------------------------------------------------