%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n012.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 11:46:05 AM UTC 2026
% Result : Unsatisfiable 15.50s 2.83s
% Output : Refutation 16.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 57
% Number of leaves : 19
% Syntax : Number of formulae : 315 ( 315 unt; 10 def)
% Number of atoms : 315 ( 314 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 13 con; 0-2 aty)
% Number of variables : 149 ( 149 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,join(meet(X0,X2),meet(X2,join(X1,X3))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H49) ).
fof(f10,negated_conjecture,
meet(a,join(b,meet(a,c))) != meet(a,join(b,meet(c,join(meet(a,join(b,c)),meet(b,c))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_H2) ).
fof(f11,definition,
sF0 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f12,plain,
meet(a,c) = sF0,
inference(reorient_equations,[],[f11]) ).
fof(f13,definition,
sF1 = join(b,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f14,plain,
join(b,sF0) = sF1,
inference(reorient_equations,[],[f13]) ).
fof(f15,definition,
sF2 = meet(a,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f16,plain,
meet(a,sF1) = sF2,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF3 = join(b,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f18,plain,
join(b,c) = sF3,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF4 = meet(a,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f20,plain,
meet(a,sF3) = sF4,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF5 = meet(b,c),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f22,plain,
meet(b,c) = sF5,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF6 = join(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f24,plain,
join(sF4,sF5) = sF6,
inference(reorient_equations,[],[f23]) ).
fof(f25,definition,
sF7 = meet(c,sF6),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f26,plain,
meet(c,sF6) = sF7,
inference(reorient_equations,[],[f25]) ).
fof(f27,definition,
sF8 = join(b,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f28,plain,
join(b,sF7) = sF8,
inference(reorient_equations,[],[f27]) ).
fof(f29,definition,
sF9 = meet(a,sF8),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f30,plain,
meet(a,sF8) = sF9,
inference(reorient_equations,[],[f29]) ).
fof(f31,plain,
sF2 != sF9,
inference(definition_folding,[],[f10,f30,f28,f26,f24,f22,f20,f18,f16,f14,f12]) ).
fof(f32,plain,
sF1 = join(sF0,b),
inference(forward_demodulation,[],[f14,f6]) ).
fof(f33,plain,
sF2 = meet(sF1,a),
inference(forward_demodulation,[],[f16,f5]) ).
fof(f34,plain,
sF4 = meet(sF3,a),
inference(forward_demodulation,[],[f20,f5]) ).
fof(f35,plain,
sF7 = meet(sF6,c),
inference(forward_demodulation,[],[f26,f5]) ).
fof(f36,plain,
sF8 = join(sF7,b),
inference(forward_demodulation,[],[f28,f6]) ).
fof(f37,plain,
sF9 = meet(sF8,a),
inference(forward_demodulation,[],[f30,f5]) ).
fof(f38,plain,
b = meet(b,sF3),
inference(superposition,[],[f3,f18]) ).
fof(f39,plain,
b = meet(sF3,b),
inference(forward_demodulation,[],[f38,f5]) ).
fof(f40,plain,
sF0 = meet(sF0,sF1),
inference(superposition,[],[f3,f32]) ).
fof(f41,plain,
sF7 = meet(sF7,sF8),
inference(superposition,[],[f3,f36]) ).
fof(f42,plain,
sF1 = join(sF1,sF2),
inference(superposition,[],[f4,f33]) ).
fof(f43,plain,
sF8 = join(sF8,sF9),
inference(superposition,[],[f4,f37]) ).
fof(f46,plain,
b = join(b,sF5),
inference(superposition,[],[f4,f22]) ).
fof(f48,plain,
b = join(sF5,b),
inference(forward_demodulation,[],[f46,f6]) ).
fof(f50,plain,
sF3 = join(sF3,sF4),
inference(superposition,[],[f4,f34]) ).
fof(f51,plain,
sF6 = join(sF6,sF7),
inference(superposition,[],[f4,f35]) ).
fof(f52,plain,
sF4 = meet(sF4,sF6),
inference(superposition,[],[f3,f24]) ).
fof(f54,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f56,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f57,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f56,f4]) ).
fof(f60,plain,
c = meet(c,sF3),
inference(superposition,[],[f56,f18]) ).
fof(f62,plain,
sF5 = meet(sF5,sF6),
inference(superposition,[],[f56,f24]) ).
fof(f67,plain,
c = meet(sF3,c),
inference(forward_demodulation,[],[f60,f5]) ).
fof(f68,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f57,f5]) ).
fof(f70,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f72,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f73,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f56]) ).
fof(f74,plain,
! [X0] : meet(sF1,meet(a,X0)) = meet(sF2,X0),
inference(superposition,[],[f7,f33]) ).
fof(f76,plain,
! [X0] : meet(sF3,meet(a,X0)) = meet(sF4,X0),
inference(superposition,[],[f7,f34]) ).
fof(f77,plain,
! [X0] : meet(a,meet(c,X0)) = meet(sF0,X0),
inference(superposition,[],[f7,f12]) ).
fof(f78,plain,
! [X0] : meet(b,meet(c,X0)) = meet(sF5,X0),
inference(superposition,[],[f7,f22]) ).
fof(f79,plain,
! [X0] : meet(sF6,meet(c,X0)) = meet(sF7,X0),
inference(superposition,[],[f7,f35]) ).
fof(f85,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f91,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f93,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f95,plain,
! [X0] : join(b,join(c,X0)) = join(sF3,X0),
inference(superposition,[],[f8,f18]) ).
fof(f96,plain,
! [X0] : join(sF0,join(b,X0)) = join(sF1,X0),
inference(superposition,[],[f8,f32]) ).
fof(f97,plain,
! [X0] : join(sF4,join(sF5,X0)) = join(sF6,X0),
inference(superposition,[],[f8,f24]) ).
fof(f98,plain,
! [X0] : join(sF7,join(b,X0)) = join(sF8,X0),
inference(superposition,[],[f8,f36]) ).
fof(f104,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f117,plain,
c = join(c,sF0),
inference(superposition,[],[f54,f12]) ).
fof(f118,plain,
c = join(c,sF5),
inference(superposition,[],[f54,f22]) ).
fof(f119,plain,
c = join(c,sF7),
inference(superposition,[],[f54,f35]) ).
fof(f121,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f54]) ).
fof(f122,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f56,f54]) ).
fof(f125,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f122,f5]) ).
fof(f126,plain,
c = join(sF7,c),
inference(forward_demodulation,[],[f119,f6]) ).
fof(f127,plain,
c = join(sF5,c),
inference(forward_demodulation,[],[f118,f6]) ).
fof(f128,plain,
c = join(sF0,c),
inference(forward_demodulation,[],[f117,f6]) ).
fof(f133,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X3)))) = meet(X1,join(X2,join(meet(X0,X1),meet(X0,join(X2,X3))))),
inference(superposition,[],[f9,f5]) ).
fof(f144,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,meet(X0,X3))))) = meet(X1,join(X0,join(meet(X1,X2),meet(X2,X0)))),
inference(superposition,[],[f9,f4]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : meet(X2,join(X1,meet(X3,join(X2,X0)))) = meet(X2,join(X1,join(meet(X2,X3),meet(X3,join(X0,X1))))),
inference(superposition,[],[f9,f6]) ).
fof(f149,plain,
! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,c)))) = meet(X0,join(b,join(meet(X0,X1),meet(X1,sF3)))),
inference(superposition,[],[f9,f18]) ).
fof(f150,plain,
! [X0,X1] : meet(X0,join(sF0,meet(X1,join(X0,b)))) = meet(X0,join(sF0,join(meet(X0,X1),meet(X1,sF1)))),
inference(superposition,[],[f9,f32]) ).
fof(f152,plain,
! [X0,X1] : meet(X0,join(sF7,meet(X1,join(X0,b)))) = meet(X0,join(sF7,join(meet(X0,X1),meet(X1,sF8)))),
inference(superposition,[],[f9,f36]) ).
fof(f195,plain,
! [X0] : meet(sF0,X0) = meet(sF0,meet(sF1,X0)),
inference(superposition,[],[f72,f32]) ).
fof(f228,plain,
! [X0] : meet(sF0,X0) = meet(a,meet(X0,c)),
inference(superposition,[],[f77,f5]) ).
fof(f247,plain,
! [X0] : meet(sF5,X0) = meet(b,meet(X0,c)),
inference(superposition,[],[f78,f5]) ).
fof(f266,plain,
! [X0] : meet(sF7,X0) = meet(sF6,meet(X0,c)),
inference(superposition,[],[f79,f5]) ).
fof(f269,plain,
! [X0] : meet(sF6,c) = meet(sF7,join(X0,c)),
inference(superposition,[],[f79,f56]) ).
fof(f279,plain,
! [X0] : sF7 = meet(sF7,join(X0,c)),
inference(forward_demodulation,[],[f269,f35]) ).
fof(f285,plain,
! [X0] : meet(sF4,X0) = meet(sF3,meet(X0,a)),
inference(superposition,[],[f76,f5]) ).
fof(f291,plain,
meet(sF4,c) = meet(sF3,sF0),
inference(superposition,[],[f76,f12]) ).
fof(f299,plain,
meet(sF4,c) = meet(sF0,sF3),
inference(forward_demodulation,[],[f291,f5]) ).
fof(f316,plain,
! [X2,X0] : join(X0,X2) = join(X0,join(X0,X2)),
inference(superposition,[],[f91,f56]) ).
fof(f349,plain,
join(sF1,c) = join(sF0,sF3),
inference(superposition,[],[f96,f18]) ).
fof(f353,plain,
! [X0] : join(sF1,X0) = join(sF0,join(X0,b)),
inference(superposition,[],[f96,f6]) ).
fof(f393,plain,
! [X0] : join(sF3,X0) = join(b,join(X0,c)),
inference(superposition,[],[f95,f6]) ).
fof(f407,plain,
join(sF8,c) = join(sF7,sF3),
inference(superposition,[],[f98,f18]) ).
fof(f412,plain,
! [X0] : join(sF8,X0) = join(sF7,join(X0,b)),
inference(superposition,[],[f98,f6]) ).
fof(f425,plain,
join(sF8,c) = join(sF3,sF7),
inference(forward_demodulation,[],[f407,f6]) ).
fof(f585,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(meet(X1,X2),meet(X2,X0)))) = meet(X1,join(X0,meet(X2,join(X1,X0)))),
inference(superposition,[],[f9,f2]) ).
fof(f590,plain,
join(sF7,b) = join(sF8,b),
inference(superposition,[],[f98,f2]) ).
fof(f592,plain,
join(b,c) = join(sF3,c),
inference(superposition,[],[f95,f2]) ).
fof(f593,plain,
sF3 = join(sF3,c),
inference(forward_demodulation,[],[f592,f18]) ).
fof(f595,plain,
sF8 = join(sF8,b),
inference(forward_demodulation,[],[f590,f36]) ).
fof(f598,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,meet(X0,X3))))) = meet(X1,join(X0,meet(X2,join(X1,X0)))),
inference(backward_demodulation,[],[f144,f585]) ).
fof(f622,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,join(X0,X1)))),
inference(superposition,[],[f598,f54]) ).
fof(f670,plain,
! [X2,X0,X1] : meet(X1,join(X0,join(meet(X1,X2),meet(X2,X0)))) = meet(X1,join(X0,meet(X2,X1))),
inference(backward_demodulation,[],[f585,f622]) ).
fof(f708,plain,
! [X0] : join(sF6,X0) = join(sF4,join(X0,sF5)),
inference(superposition,[],[f97,f6]) ).
fof(f726,plain,
! [X0] : meet(sF2,X0) = meet(sF1,meet(X0,a)),
inference(superposition,[],[f74,f5]) ).
fof(f734,plain,
meet(sF2,c) = meet(sF1,sF0),
inference(superposition,[],[f74,f12]) ).
fof(f750,plain,
meet(sF0,sF1) = meet(sF2,c),
inference(forward_demodulation,[],[f734,f5]) ).
fof(f761,plain,
meet(sF0,sF1) = meet(c,sF2),
inference(forward_demodulation,[],[f750,f5]) ).
fof(f765,plain,
sF0 = meet(c,sF2),
inference(forward_demodulation,[],[f761,f40]) ).
fof(f1054,plain,
meet(sF7,sF2) = meet(sF6,sF0),
inference(superposition,[],[f79,f765]) ).
fof(f1072,plain,
meet(sF7,sF2) = meet(sF0,sF6),
inference(forward_demodulation,[],[f1054,f5]) ).
fof(f1291,plain,
! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,c)))) = meet(X0,join(b,join(meet(X1,X0),meet(X1,sF3)))),
inference(superposition,[],[f133,f18]) ).
fof(f1604,plain,
sF8 = meet(sF8,join(sF3,sF7)),
inference(superposition,[],[f3,f425]) ).
fof(f1616,plain,
sF4 = join(sF4,meet(sF0,sF3)),
inference(superposition,[],[f4,f299]) ).
fof(f1950,plain,
meet(sF0,sF6) = meet(a,sF7),
inference(superposition,[],[f228,f35]) ).
fof(f1993,plain,
meet(sF0,sF6) = meet(sF7,a),
inference(forward_demodulation,[],[f1950,f5]) ).
fof(f2088,plain,
meet(sF5,sF6) = meet(b,sF7),
inference(superposition,[],[f247,f35]) ).
fof(f2125,plain,
meet(sF5,sF6) = meet(sF7,b),
inference(forward_demodulation,[],[f2088,f5]) ).
fof(f2138,plain,
sF5 = meet(sF7,b),
inference(forward_demodulation,[],[f2125,f62]) ).
fof(f2145,plain,
sF7 = join(sF7,sF5),
inference(superposition,[],[f4,f2138]) ).
fof(f2164,plain,
sF7 = join(sF5,sF7),
inference(forward_demodulation,[],[f2145,f6]) ).
fof(f2165,plain,
join(sF6,sF7) = join(sF4,sF7),
inference(superposition,[],[f97,f2164]) ).
fof(f2179,plain,
sF6 = join(sF4,sF7),
inference(forward_demodulation,[],[f2165,f51]) ).
fof(f2183,plain,
sF7 = meet(sF7,sF6),
inference(superposition,[],[f56,f2179]) ).
fof(f2195,plain,
sF7 = meet(sF6,sF7),
inference(forward_demodulation,[],[f2183,f5]) ).
fof(f2218,plain,
join(b,c) = join(sF3,sF0),
inference(superposition,[],[f393,f128]) ).
fof(f2232,plain,
join(b,c) = join(sF0,sF3),
inference(forward_demodulation,[],[f2218,f6]) ).
fof(f2233,plain,
sF3 = join(sF0,sF3),
inference(forward_demodulation,[],[f2232,f18]) ).
fof(f2234,plain,
sF3 = join(sF1,c),
inference(backward_demodulation,[],[f349,f2233]) ).
fof(f2236,plain,
sF1 = meet(sF1,sF3),
inference(superposition,[],[f3,f2234]) ).
fof(f2254,plain,
sF0 = meet(sF0,sF3),
inference(superposition,[],[f3,f2233]) ).
fof(f2258,plain,
! [X0] : meet(sF0,X0) = meet(sF0,meet(sF3,X0)),
inference(superposition,[],[f72,f2233]) ).
fof(f2269,plain,
sF0 = meet(sF4,c),
inference(backward_demodulation,[],[f299,f2254]) ).
fof(f2270,plain,
sF4 = join(sF4,sF0),
inference(backward_demodulation,[],[f1616,f2254]) ).
fof(f2281,plain,
sF4 = join(sF0,sF4),
inference(forward_demodulation,[],[f2270,f6]) ).
fof(f2282,plain,
sF0 = meet(sF0,sF4),
inference(superposition,[],[f3,f2281]) ).
fof(f2287,plain,
! [X0] : join(X0,sF4) = join(sF0,join(sF4,X0)),
inference(superposition,[],[f104,f2281]) ).
fof(f2349,plain,
meet(sF7,join(b,meet(a,join(sF7,c)))) = meet(sF7,join(b,join(meet(sF0,sF6),meet(a,sF3)))),
inference(superposition,[],[f149,f1993]) ).
fof(f2432,plain,
meet(sF7,join(b,meet(a,join(sF7,c)))) = meet(sF7,join(b,join(meet(sF0,sF6),meet(sF3,a)))),
inference(forward_demodulation,[],[f2349,f5]) ).
fof(f2480,plain,
meet(sF7,join(b,meet(a,join(sF7,c)))) = meet(sF7,join(b,join(meet(sF0,sF6),sF4))),
inference(forward_demodulation,[],[f2432,f34]) ).
fof(f2515,plain,
meet(sF7,join(b,meet(a,join(sF7,c)))) = meet(sF7,join(sF4,join(b,meet(sF0,sF6)))),
inference(forward_demodulation,[],[f2480,f104]) ).
fof(f2536,plain,
meet(sF7,join(sF4,join(b,meet(sF0,sF6)))) = meet(sF7,join(b,meet(a,c))),
inference(forward_demodulation,[],[f2515,f126]) ).
fof(f2549,plain,
meet(sF7,join(sF4,join(b,meet(sF0,sF6)))) = meet(sF7,join(b,sF0)),
inference(forward_demodulation,[],[f2536,f12]) ).
fof(f2560,plain,
meet(sF7,join(sF4,join(b,meet(sF0,sF6)))) = meet(sF7,join(sF0,b)),
inference(forward_demodulation,[],[f2549,f6]) ).
fof(f2569,plain,
meet(sF7,join(sF4,join(b,meet(sF0,sF6)))) = meet(sF7,sF1),
inference(forward_demodulation,[],[f2560,f32]) ).
fof(f2577,plain,
meet(sF7,join(sF4,join(b,meet(sF0,sF6)))) = meet(sF1,sF7),
inference(forward_demodulation,[],[f2569,f5]) ).
fof(f2618,plain,
join(sF4,b) = join(sF6,b),
inference(superposition,[],[f97,f48]) ).
fof(f2647,plain,
join(b,c) = join(sF3,sF5),
inference(superposition,[],[f393,f127]) ).
fof(f2661,plain,
sF3 = join(sF3,sF5),
inference(forward_demodulation,[],[f2647,f18]) ).
fof(f2741,plain,
sF4 = meet(sF3,sF4),
inference(superposition,[],[f68,f34]) ).
fof(f2742,plain,
meet(sF0,sF6) = meet(sF7,meet(sF0,sF6)),
inference(superposition,[],[f68,f1993]) ).
fof(f2818,plain,
meet(sF0,sF6) = meet(sF6,meet(sF7,sF0)),
inference(forward_demodulation,[],[f2742,f85]) ).
fof(f2842,plain,
meet(sF0,sF6) = meet(sF0,meet(sF6,sF7)),
inference(forward_demodulation,[],[f2818,f85]) ).
fof(f2848,plain,
meet(sF0,sF6) = meet(sF0,sF7),
inference(forward_demodulation,[],[f2842,f2195]) ).
fof(f2856,plain,
! [X0] : meet(meet(sF0,sF6),X0) = meet(sF7,meet(sF0,X0)),
inference(superposition,[],[f70,f2848]) ).
fof(f2862,plain,
meet(sF0,join(b,meet(sF7,join(sF0,c)))) = meet(sF0,join(b,join(meet(sF0,sF6),meet(sF7,sF3)))),
inference(superposition,[],[f149,f2848]) ).
fof(f2868,plain,
meet(sF0,join(b,meet(sF7,join(sF0,c)))) = meet(sF0,join(b,join(meet(sF0,sF6),meet(sF3,sF7)))),
inference(forward_demodulation,[],[f2862,f5]) ).
fof(f2870,plain,
! [X0] : meet(meet(sF0,sF6),X0) = meet(sF0,meet(X0,sF7)),
inference(forward_demodulation,[],[f2856,f85]) ).
fof(f2872,plain,
meet(sF0,join(b,join(meet(sF0,sF6),meet(sF3,sF7)))) = meet(sF0,join(b,sF7)),
inference(forward_demodulation,[],[f2868,f279]) ).
fof(f2873,plain,
! [X0] : meet(sF0,meet(sF6,X0)) = meet(sF0,meet(X0,sF7)),
inference(forward_demodulation,[],[f2870,f7]) ).
fof(f2874,plain,
meet(sF0,join(b,join(meet(sF0,sF6),meet(sF3,sF7)))) = meet(sF0,join(sF7,b)),
inference(forward_demodulation,[],[f2872,f6]) ).
fof(f2875,plain,
meet(sF0,sF8) = meet(sF0,join(b,join(meet(sF0,sF6),meet(sF3,sF7)))),
inference(forward_demodulation,[],[f2874,f36]) ).
fof(f3215,plain,
! [X2,X0,X1] : join(X0,X2) = join(meet(X1,X0),join(X0,X2)),
inference(superposition,[],[f93,f54]) ).
fof(f3236,plain,
! [X0] : join(sF6,X0) = join(sF7,join(sF4,X0)),
inference(superposition,[],[f93,f2179]) ).
fof(f3309,plain,
! [X0] : join(sF6,X0) = join(sF4,join(X0,sF7)),
inference(forward_demodulation,[],[f3236,f104]) ).
fof(f3330,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(X2,meet(X1,X0))),
inference(forward_demodulation,[],[f3215,f104]) ).
fof(f3353,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X2,X1))) = meet(X1,join(X0,meet(X1,X2))),
inference(backward_demodulation,[],[f670,f3330]) ).
fof(f3533,plain,
sF3 = join(sF3,b),
inference(superposition,[],[f4,f39]) ).
fof(f3603,plain,
! [X0,X1] : meet(X0,join(b,join(meet(X0,X1),meet(X1,sF3)))) = meet(X0,join(b,meet(X1,join(X0,sF3)))),
inference(superposition,[],[f147,f3533]) ).
fof(f3608,plain,
! [X0,X1] : meet(X0,join(b,meet(X1,join(X0,c)))) = meet(X0,join(b,meet(X1,join(X0,sF3)))),
inference(backward_demodulation,[],[f149,f3603]) ).
fof(f3617,plain,
! [X0,X1] : meet(X0,join(b,join(meet(X1,X0),meet(X1,sF3)))) = meet(X0,join(b,meet(X1,join(X0,sF3)))),
inference(backward_demodulation,[],[f1291,f3608]) ).
fof(f4432,plain,
meet(sF3,join(sF7,meet(a,join(sF3,b)))) = meet(sF3,join(sF7,join(sF4,meet(a,sF8)))),
inference(superposition,[],[f152,f34]) ).
fof(f4529,plain,
meet(sF3,join(sF7,meet(a,join(sF3,b)))) = meet(sF3,join(sF4,join(meet(a,sF8),sF7))),
inference(forward_demodulation,[],[f4432,f104]) ).
fof(f4594,plain,
meet(sF3,join(sF7,meet(a,join(sF3,b)))) = meet(sF3,join(sF6,meet(a,sF8))),
inference(forward_demodulation,[],[f4529,f3309]) ).
fof(f4645,plain,
meet(sF3,join(sF7,meet(a,join(sF3,b)))) = meet(sF3,join(sF6,meet(sF8,a))),
inference(forward_demodulation,[],[f4594,f5]) ).
fof(f4668,plain,
meet(sF3,join(sF7,meet(a,join(sF3,b)))) = meet(sF3,join(sF6,sF9)),
inference(forward_demodulation,[],[f4645,f37]) ).
fof(f4687,plain,
meet(sF3,join(sF6,sF9)) = meet(sF3,join(sF7,meet(a,sF3))),
inference(forward_demodulation,[],[f4668,f3533]) ).
fof(f4700,plain,
meet(sF3,join(sF6,sF9)) = meet(sF3,join(sF7,meet(sF3,a))),
inference(forward_demodulation,[],[f4687,f3353]) ).
fof(f4710,plain,
meet(sF3,join(sF6,sF9)) = meet(sF3,join(sF7,sF4)),
inference(forward_demodulation,[],[f4700,f34]) ).
fof(f4714,plain,
meet(sF3,join(sF6,sF9)) = meet(sF3,join(sF4,sF7)),
inference(forward_demodulation,[],[f4710,f6]) ).
fof(f4716,plain,
meet(sF3,sF6) = meet(sF3,join(sF6,sF9)),
inference(forward_demodulation,[],[f4714,f2179]) ).
fof(f4723,plain,
! [X0] : meet(meet(sF3,sF6),X0) = meet(sF3,meet(join(sF6,sF9),X0)),
inference(superposition,[],[f7,f4716]) ).
fof(f4728,plain,
! [X0] : meet(X0,meet(sF3,sF6)) = meet(sF3,meet(join(sF6,sF9),X0)),
inference(superposition,[],[f85,f4716]) ).
fof(f4747,plain,
! [X0] : meet(sF3,meet(sF6,X0)) = meet(sF3,meet(join(sF6,sF9),X0)),
inference(forward_demodulation,[],[f4723,f7]) ).
fof(f5316,plain,
join(sF1,sF7) = join(sF0,sF8),
inference(superposition,[],[f353,f36]) ).
fof(f5429,plain,
meet(sF4,sF7) = meet(sF3,meet(sF0,sF6)),
inference(superposition,[],[f285,f1993]) ).
fof(f5441,plain,
! [X0] : meet(sF3,a) = meet(sF4,join(X0,sF3)),
inference(superposition,[],[f73,f285]) ).
fof(f5475,plain,
! [X0] : sF4 = meet(sF4,join(X0,sF3)),
inference(forward_demodulation,[],[f5441,f34]) ).
fof(f5482,plain,
meet(sF4,sF7) = meet(sF0,meet(sF6,sF3)),
inference(forward_demodulation,[],[f5429,f85]) ).
fof(f5501,plain,
meet(sF4,sF7) = meet(sF0,meet(sF3,sF7)),
inference(forward_demodulation,[],[f5482,f2873]) ).
fof(f5510,plain,
meet(sF0,sF7) = meet(sF4,sF7),
inference(forward_demodulation,[],[f5501,f2258]) ).
fof(f5515,plain,
meet(sF0,sF6) = meet(sF4,sF7),
inference(forward_demodulation,[],[f5510,f2848]) ).
fof(f5622,plain,
join(sF8,sF6) = join(sF7,join(sF4,b)),
inference(superposition,[],[f412,f2618]) ).
fof(f5650,plain,
join(sF8,sF6) = join(sF8,sF4),
inference(forward_demodulation,[],[f5622,f412]) ).
fof(f5661,plain,
join(sF8,sF6) = join(sF4,sF8),
inference(forward_demodulation,[],[f5650,f6]) ).
fof(f5668,plain,
join(sF4,sF8) = join(sF6,sF8),
inference(forward_demodulation,[],[f5661,f6]) ).
fof(f5734,plain,
meet(sF6,c) = meet(sF7,sF3),
inference(superposition,[],[f266,f67]) ).
fof(f5789,plain,
meet(sF6,c) = meet(sF3,sF7),
inference(forward_demodulation,[],[f5734,f5]) ).
fof(f5808,plain,
sF7 = meet(sF3,sF7),
inference(forward_demodulation,[],[f5789,f35]) ).
fof(f5816,plain,
meet(sF0,sF8) = meet(sF0,join(b,join(meet(sF0,sF6),sF7))),
inference(backward_demodulation,[],[f2875,f5808]) ).
fof(f5820,plain,
meet(sF0,sF8) = meet(sF0,join(sF7,join(b,meet(sF0,sF6)))),
inference(forward_demodulation,[],[f5816,f104]) ).
fof(f5821,plain,
meet(sF0,sF8) = meet(sF0,join(sF8,meet(sF0,sF6))),
inference(forward_demodulation,[],[f5820,f98]) ).
fof(f5822,plain,
sF3 = join(sF3,sF7),
inference(superposition,[],[f4,f5808]) ).
fof(f5852,plain,
sF8 = meet(sF8,sF3),
inference(backward_demodulation,[],[f1604,f5822]) ).
fof(f5884,plain,
sF8 = meet(sF3,sF8),
inference(forward_demodulation,[],[f5852,f5]) ).
fof(f6028,plain,
meet(sF0,sF6) = meet(sF2,meet(sF0,sF6)),
inference(superposition,[],[f125,f1072]) ).
fof(f6040,plain,
meet(sF0,sF6) = meet(sF6,meet(sF2,sF0)),
inference(forward_demodulation,[],[f6028,f85]) ).
fof(f6046,plain,
meet(sF0,sF6) = meet(sF0,meet(sF6,sF2)),
inference(forward_demodulation,[],[f6040,f85]) ).
fof(f6690,plain,
join(sF4,sF3) = join(sF6,sF3),
inference(superposition,[],[f708,f2661]) ).
fof(f6720,plain,
join(sF4,sF3) = join(sF3,sF6),
inference(forward_demodulation,[],[f6690,f6]) ).
fof(f6729,plain,
join(sF3,sF4) = join(sF3,sF6),
inference(forward_demodulation,[],[f6720,f6]) ).
fof(f6735,plain,
sF3 = join(sF3,sF6),
inference(forward_demodulation,[],[f6729,f50]) ).
fof(f6739,plain,
sF6 = meet(sF6,sF3),
inference(superposition,[],[f56,f6735]) ).
fof(f6757,plain,
sF6 = meet(sF3,sF6),
inference(forward_demodulation,[],[f6739,f5]) ).
fof(f6763,plain,
! [X0] : meet(X0,sF6) = meet(sF3,meet(join(sF6,sF9),X0)),
inference(backward_demodulation,[],[f4728,f6757]) ).
fof(f6776,plain,
! [X0] : meet(X0,sF6) = meet(sF3,meet(sF6,X0)),
inference(backward_demodulation,[],[f4747,f6763]) ).
fof(f6864,plain,
meet(sF4,sF6) = meet(a,sF6),
inference(superposition,[],[f285,f6776]) ).
fof(f6898,plain,
meet(sF4,sF6) = meet(sF6,a),
inference(forward_demodulation,[],[f6864,f5]) ).
fof(f6938,plain,
sF4 = meet(sF6,a),
inference(forward_demodulation,[],[f6898,f52]) ).
fof(f6993,plain,
meet(sF1,sF4) = meet(sF2,sF6),
inference(superposition,[],[f726,f6938]) ).
fof(f7025,plain,
meet(sF1,sF4) = meet(sF6,sF2),
inference(forward_demodulation,[],[f6993,f5]) ).
fof(f7031,plain,
meet(sF0,sF6) = meet(sF0,meet(sF1,sF4)),
inference(backward_demodulation,[],[f6046,f7025]) ).
fof(f7035,plain,
meet(sF0,sF6) = meet(sF0,sF4),
inference(forward_demodulation,[],[f7031,f195]) ).
fof(f7039,plain,
sF0 = meet(sF0,sF6),
inference(forward_demodulation,[],[f7035,f2282]) ).
fof(f7050,plain,
meet(sF1,sF7) = meet(sF7,join(sF4,join(b,sF0))),
inference(backward_demodulation,[],[f2577,f7039]) ).
fof(f7064,plain,
sF0 = meet(sF4,sF7),
inference(backward_demodulation,[],[f5515,f7039]) ).
fof(f7073,plain,
meet(sF0,sF8) = meet(sF0,join(sF8,sF0)),
inference(backward_demodulation,[],[f5821,f7039]) ).
fof(f7087,plain,
sF0 = meet(sF0,sF8),
inference(forward_demodulation,[],[f7073,f56]) ).
fof(f7098,plain,
meet(sF1,sF7) = meet(sF7,join(sF0,join(sF4,b))),
inference(forward_demodulation,[],[f7050,f104]) ).
fof(f7121,plain,
meet(sF1,sF7) = meet(sF7,join(b,sF4)),
inference(forward_demodulation,[],[f7098,f2287]) ).
fof(f7129,plain,
meet(sF1,sF7) = meet(sF7,join(sF4,b)),
inference(forward_demodulation,[],[f7121,f6]) ).
fof(f7505,plain,
sF8 = join(sF8,sF0),
inference(superposition,[],[f54,f7087]) ).
fof(f7529,plain,
sF8 = join(sF0,sF8),
inference(forward_demodulation,[],[f7505,f6]) ).
fof(f7532,plain,
sF8 = join(sF1,sF7),
inference(backward_demodulation,[],[f5316,f7529]) ).
fof(f7535,plain,
sF1 = meet(sF1,sF8),
inference(superposition,[],[f3,f7532]) ).
fof(f7539,plain,
! [X0] : meet(sF1,X0) = meet(sF1,meet(sF8,X0)),
inference(superposition,[],[f72,f7532]) ).
fof(f8021,plain,
! [X0] : join(sF0,join(b,X0)) = join(sF1,join(b,X0)),
inference(superposition,[],[f96,f316]) ).
fof(f8034,plain,
! [X0] : join(sF1,X0) = join(sF1,join(b,X0)),
inference(forward_demodulation,[],[f8021,f96]) ).
fof(f9506,plain,
! [X0] : join(sF8,X0) = join(sF9,join(sF8,X0)),
inference(superposition,[],[f93,f43]) ).
fof(f9524,plain,
! [X0] : join(sF8,X0) = join(sF8,join(X0,sF9)),
inference(forward_demodulation,[],[f9506,f104]) ).
fof(f10138,plain,
! [X0] : join(sF1,X0) = join(sF1,join(sF0,X0)),
inference(superposition,[],[f121,f40]) ).
fof(f10294,plain,
! [X0] : join(sF1,X0) = join(sF0,join(X0,sF1)),
inference(forward_demodulation,[],[f10138,f104]) ).
fof(f14619,plain,
! [X0] : meet(sF1,sF8) = meet(sF1,join(X0,sF8)),
inference(superposition,[],[f7539,f56]) ).
fof(f14714,plain,
! [X0] : sF1 = meet(sF1,join(X0,sF8)),
inference(forward_demodulation,[],[f14619,f7535]) ).
fof(f15612,plain,
meet(a,join(b,meet(sF1,join(a,sF3)))) = meet(a,join(b,join(sF2,meet(sF1,sF3)))),
inference(superposition,[],[f3617,f33]) ).
fof(f15617,plain,
meet(a,join(b,meet(sF8,join(a,sF3)))) = meet(a,join(b,join(sF9,meet(sF8,sF3)))),
inference(superposition,[],[f3617,f37]) ).
fof(f15628,plain,
meet(c,join(b,meet(sF4,join(c,sF3)))) = meet(c,join(b,join(sF0,meet(sF4,sF3)))),
inference(superposition,[],[f3617,f2269]) ).
fof(f15629,plain,
meet(c,join(b,meet(sF6,join(c,sF3)))) = meet(c,join(b,join(sF7,meet(sF6,sF3)))),
inference(superposition,[],[f3617,f35]) ).
fof(f15652,plain,
meet(sF7,join(b,meet(sF4,join(sF7,sF3)))) = meet(sF7,join(b,join(sF0,meet(sF4,sF3)))),
inference(superposition,[],[f3617,f7064]) ).
fof(f15791,plain,
meet(sF7,join(b,meet(sF4,join(sF7,sF3)))) = meet(sF7,join(sF0,join(meet(sF4,sF3),b))),
inference(forward_demodulation,[],[f15652,f104]) ).
fof(f15814,plain,
meet(c,join(b,meet(sF6,join(c,sF3)))) = meet(c,join(sF7,join(meet(sF6,sF3),b))),
inference(forward_demodulation,[],[f15629,f104]) ).
fof(f15815,plain,
meet(c,join(b,meet(sF4,join(c,sF3)))) = meet(c,join(sF0,join(meet(sF4,sF3),b))),
inference(forward_demodulation,[],[f15628,f104]) ).
fof(f15826,plain,
meet(a,join(b,meet(sF8,join(a,sF3)))) = meet(a,join(b,join(sF9,meet(sF3,sF8)))),
inference(forward_demodulation,[],[f15617,f5]) ).
fof(f15831,plain,
meet(a,join(b,meet(sF1,join(a,sF3)))) = meet(a,join(b,join(sF2,sF1))),
inference(forward_demodulation,[],[f15612,f2236]) ).
fof(f15947,plain,
meet(sF7,join(b,meet(sF4,join(sF7,sF3)))) = meet(sF7,join(sF1,meet(sF4,sF3))),
inference(forward_demodulation,[],[f15791,f353]) ).
fof(f15961,plain,
meet(c,join(b,meet(sF6,join(c,sF3)))) = meet(c,join(sF8,meet(sF6,sF3))),
inference(forward_demodulation,[],[f15814,f412]) ).
fof(f15962,plain,
meet(c,join(b,meet(sF4,join(c,sF3)))) = meet(c,join(sF1,meet(sF4,sF3))),
inference(forward_demodulation,[],[f15815,f353]) ).
fof(f15966,plain,
meet(a,join(b,meet(sF8,join(a,sF3)))) = meet(a,join(b,join(sF9,sF8))),
inference(forward_demodulation,[],[f15826,f5884]) ).
fof(f15971,plain,
meet(a,join(b,meet(sF1,join(a,sF3)))) = meet(a,join(sF1,join(b,sF2))),
inference(forward_demodulation,[],[f15831,f104]) ).
fof(f16076,plain,
meet(sF7,join(b,meet(sF4,join(sF7,sF3)))) = meet(sF7,join(sF1,meet(sF3,sF4))),
inference(forward_demodulation,[],[f15947,f5]) ).
fof(f16090,plain,
meet(c,join(b,meet(sF6,join(c,sF3)))) = meet(c,join(sF8,meet(sF3,sF6))),
inference(forward_demodulation,[],[f15961,f5]) ).
fof(f16091,plain,
meet(c,join(b,meet(sF4,join(c,sF3)))) = meet(c,join(sF1,meet(sF3,sF4))),
inference(forward_demodulation,[],[f15962,f5]) ).
fof(f16095,plain,
meet(a,join(b,meet(sF8,join(a,sF3)))) = meet(a,join(sF8,join(b,sF9))),
inference(forward_demodulation,[],[f15966,f104]) ).
fof(f16099,plain,
meet(a,join(sF1,sF2)) = meet(a,join(b,meet(sF1,join(a,sF3)))),
inference(forward_demodulation,[],[f15971,f8034]) ).
fof(f16177,plain,
meet(sF7,join(sF1,sF4)) = meet(sF7,join(b,meet(sF4,join(sF7,sF3)))),
inference(forward_demodulation,[],[f16076,f2741]) ).
fof(f16188,plain,
meet(c,join(b,meet(sF6,join(c,sF3)))) = meet(c,join(sF8,sF6)),
inference(forward_demodulation,[],[f16090,f6757]) ).
fof(f16189,plain,
meet(c,join(sF1,sF4)) = meet(c,join(b,meet(sF4,join(c,sF3)))),
inference(forward_demodulation,[],[f16091,f2741]) ).
fof(f16192,plain,
meet(a,join(sF8,b)) = meet(a,join(b,meet(sF8,join(a,sF3)))),
inference(forward_demodulation,[],[f16095,f9524]) ).
fof(f16196,plain,
meet(a,join(sF1,sF2)) = meet(a,join(b,meet(sF1,join(sF3,a)))),
inference(forward_demodulation,[],[f16099,f6]) ).
fof(f16261,plain,
meet(sF7,join(b,sF4)) = meet(sF7,join(sF1,sF4)),
inference(forward_demodulation,[],[f16177,f5475]) ).
fof(f16272,plain,
meet(c,join(sF6,sF8)) = meet(c,join(b,meet(sF6,join(c,sF3)))),
inference(forward_demodulation,[],[f16188,f6]) ).
fof(f16273,plain,
meet(c,join(sF1,sF4)) = meet(c,join(b,sF4)),
inference(forward_demodulation,[],[f16189,f5475]) ).
fof(f16276,plain,
meet(a,join(sF8,b)) = meet(a,join(b,meet(sF8,join(sF3,a)))),
inference(forward_demodulation,[],[f16192,f6]) ).
fof(f16280,plain,
meet(a,sF1) = meet(a,join(b,meet(sF1,join(sF3,a)))),
inference(forward_demodulation,[],[f16196,f42]) ).
fof(f16333,plain,
meet(sF7,join(sF4,b)) = meet(sF7,join(sF1,sF4)),
inference(forward_demodulation,[],[f16261,f6]) ).
fof(f16341,plain,
meet(c,join(sF6,sF8)) = meet(c,join(b,meet(sF6,join(sF3,c)))),
inference(forward_demodulation,[],[f16272,f6]) ).
fof(f16342,plain,
meet(c,join(sF4,b)) = meet(c,join(sF1,sF4)),
inference(forward_demodulation,[],[f16273,f6]) ).
fof(f16344,plain,
meet(a,sF8) = meet(a,join(b,meet(sF8,join(sF3,a)))),
inference(forward_demodulation,[],[f16276,f595]) ).
fof(f16348,plain,
meet(sF1,a) = meet(a,join(b,meet(sF1,join(sF3,a)))),
inference(forward_demodulation,[],[f16280,f5]) ).
fof(f16384,plain,
meet(sF1,sF7) = meet(sF7,join(sF1,sF4)),
inference(forward_demodulation,[],[f16333,f7129]) ).
fof(f16390,plain,
meet(c,join(sF6,sF8)) = meet(c,join(b,meet(sF6,sF3))),
inference(forward_demodulation,[],[f16341,f593]) ).
fof(f16399,plain,
meet(sF8,a) = meet(a,join(b,meet(sF8,join(sF3,a)))),
inference(forward_demodulation,[],[f16344,f5]) ).
fof(f16402,plain,
sF2 = meet(a,join(b,meet(sF1,join(sF3,a)))),
inference(forward_demodulation,[],[f16348,f33]) ).
fof(f16435,plain,
meet(c,join(sF6,sF8)) = meet(c,join(b,meet(sF3,sF6))),
inference(forward_demodulation,[],[f16390,f5]) ).
fof(f16437,plain,
sF9 = meet(a,join(b,meet(sF8,join(sF3,a)))),
inference(forward_demodulation,[],[f16399,f37]) ).
fof(f16497,plain,
meet(c,join(sF6,sF8)) = meet(c,join(b,sF6)),
inference(forward_demodulation,[],[f16435,f6757]) ).
fof(f16543,plain,
meet(c,join(sF6,b)) = meet(c,join(sF6,sF8)),
inference(forward_demodulation,[],[f16497,f6]) ).
fof(f16567,plain,
meet(c,join(sF6,b)) = meet(c,join(sF4,sF8)),
inference(forward_demodulation,[],[f16543,f5668]) ).
fof(f16585,plain,
meet(c,join(sF4,b)) = meet(c,join(sF4,sF8)),
inference(forward_demodulation,[],[f16567,f2618]) ).
fof(f16601,plain,
meet(c,join(sF1,sF4)) = meet(c,join(sF4,sF8)),
inference(forward_demodulation,[],[f16585,f16342]) ).
fof(f16748,plain,
meet(sF7,join(sF4,sF8)) = meet(sF6,meet(c,join(sF1,sF4))),
inference(superposition,[],[f79,f16601]) ).
fof(f16785,plain,
meet(sF7,join(sF1,sF4)) = meet(sF7,join(sF4,sF8)),
inference(forward_demodulation,[],[f16748,f79]) ).
fof(f16800,plain,
meet(sF1,sF7) = meet(sF7,join(sF4,sF8)),
inference(forward_demodulation,[],[f16785,f16384]) ).
fof(f17194,plain,
meet(sF7,join(sF0,meet(join(sF4,sF8),join(sF7,b)))) = meet(sF7,join(sF0,join(meet(sF1,sF7),meet(join(sF4,sF8),sF1)))),
inference(superposition,[],[f150,f16800]) ).
fof(f17205,plain,
meet(sF7,join(sF0,meet(join(sF4,sF8),join(sF7,b)))) = meet(sF7,join(sF0,join(meet(sF1,sF7),meet(sF1,join(sF4,sF8))))),
inference(forward_demodulation,[],[f17194,f5]) ).
fof(f17220,plain,
meet(sF7,join(sF0,meet(join(sF4,sF8),join(sF7,b)))) = meet(sF7,join(sF0,join(meet(sF1,sF7),sF1))),
inference(forward_demodulation,[],[f17205,f14714]) ).
fof(f17227,plain,
meet(sF7,join(sF0,meet(join(sF4,sF8),join(sF7,b)))) = meet(sF7,join(sF1,meet(sF1,sF7))),
inference(forward_demodulation,[],[f17220,f10294]) ).
fof(f17231,plain,
meet(sF7,sF1) = meet(sF7,join(sF0,meet(join(sF4,sF8),join(sF7,b)))),
inference(forward_demodulation,[],[f17227,f4]) ).
fof(f17234,plain,
meet(sF7,sF1) = meet(sF7,join(sF0,meet(join(sF4,sF8),sF8))),
inference(forward_demodulation,[],[f17231,f36]) ).
fof(f17237,plain,
meet(sF7,sF1) = meet(sF7,join(sF0,meet(sF8,join(sF4,sF8)))),
inference(forward_demodulation,[],[f17234,f5]) ).
fof(f17239,plain,
meet(sF7,sF1) = meet(sF7,join(sF0,sF8)),
inference(forward_demodulation,[],[f17237,f56]) ).
fof(f17241,plain,
meet(sF7,sF8) = meet(sF7,sF1),
inference(forward_demodulation,[],[f17239,f7529]) ).
fof(f17243,plain,
meet(sF7,sF8) = meet(sF1,sF7),
inference(forward_demodulation,[],[f17241,f5]) ).
fof(f17245,plain,
sF7 = meet(sF1,sF7),
inference(forward_demodulation,[],[f17243,f41]) ).
fof(f17326,plain,
sF1 = join(sF1,sF7),
inference(superposition,[],[f4,f17245]) ).
fof(f17366,plain,
sF1 = sF8,
inference(backward_demodulation,[],[f7532,f17326]) ).
fof(f17786,plain,
sF9 = meet(a,join(b,meet(sF1,join(sF3,a)))),
inference(backward_demodulation,[],[f16437,f17366]) ).
fof(f17953,plain,
sF2 = sF9,
inference(forward_demodulation,[],[f17786,f16402]) ).
fof(f18108,plain,
$false,
inference(forward_subsumption_resolution,[],[f17953,f31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT155-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.03/0.32 % Computer : n012.cluster.edu
% 0.03/0.32 % Model : x86_64 x86_64
% 0.03/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.32 % Memory : 8046.5625MB
% 0.03/0.32 % OS : Linux 6.8.0-71-generic
% 0.03/0.32 % CPULimit : 300
% 0.03/0.32 % WCLimit : 300
% 0.03/0.32 % DateTime : Sun Sep 27 14:02:50 UTC 2026
% 0.03/0.32 % CPUTime :
% 0.03/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.34 Running first-order theorem proving
% 0.07/0.34 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
% 15.50/2.82 % (2407757)Detected a unit-equality problem, will run specialized UEQ schedule.
% 15.50/2.82 % (2407777)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=2732019472:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 15.50/2.82 % (2407779)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3522870214:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 15.50/2.82 % (2407780)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2225961309:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 15.50/2.82 % (2407778)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=1539850528:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 15.50/2.82 % (2407781)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1494342327:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 15.50/2.82 % (2407782)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2756975025:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 15.50/2.82 % (2407783)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2980195948:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 15.50/2.82 % (2407781)Refutation not found, incomplete strategy
% 15.50/2.82 % (2407781)------------------------------
% 15.50/2.82 % (2407781)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407781)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407781)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407781)Termination reason: Refutation not found, incomplete strategy
% 15.50/2.82 % (2407781)Time elapsed: 0.001 s
% 15.50/2.82 % (2407781)Peak memory usage: 87 MB
% 15.50/2.82 % (2407781)Instructions burned: 1 (million)
% 15.50/2.82 % (2407780)Instruction limit reached!
% 15.50/2.82 % (2407780)------------------------------
% 15.50/2.82 % (2407780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407780)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407780)Termination reason: Instruction limit
% 15.50/2.82 % (2407780)Termination phase: Saturation
% 15.50/2.82 % (2407780)Time elapsed: 0.059 s
% 15.50/2.82 % (2407780)Peak memory usage: 89 MB
% 15.50/2.82 % (2407780)Instructions burned: 136 (million)
% 15.50/2.82 % (2407782)Instruction limit reached!
% 15.50/2.82 % (2407782)------------------------------
% 15.50/2.82 % (2407782)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407782)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407782)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407782)Termination reason: Instruction limit
% 15.50/2.82 % (2407782)Termination phase: Saturation
% 15.50/2.82 % (2407782)Time elapsed: 0.143 s
% 15.50/2.82 % (2407782)Peak memory usage: 90 MB
% 15.50/2.82 % (2407782)Instructions burned: 258 (million)
% 15.50/2.82 % (2407781)------------------------------
% 15.50/2.82 % (2407781)------------------------------
% 15.50/2.82 % (2407794)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=3856119210:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2998 on theBenchmark for (2998ds/2051Mi)
% 15.50/2.82 % (2407796)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3040301035:i=4948:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/4948Mi)
% 15.50/2.82 % (2407798)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=3918180072:i=215:ep=RSTC_2996 on theBenchmark for (2996ds/215Mi)
% 15.50/2.82 % (2407798)Instruction limit reached!
% 15.50/2.82 % (2407798)------------------------------
% 15.50/2.82 % (2407798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407798)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407798)Termination reason: Instruction limit
% 15.50/2.82 % (2407798)Termination phase: Saturation
% 15.50/2.82 % (2407798)Time elapsed: 0.085 s
% 15.50/2.82 % (2407798)Peak memory usage: 90 MB
% 15.50/2.82 % (2407798)Instructions burned: 218 (million)
% 15.50/2.82 % (2407783)Instruction limit reached!
% 15.50/2.82 % (2407783)------------------------------
% 15.50/2.82 % (2407783)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407783)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407783)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407783)Termination reason: Instruction limit
% 15.50/2.82 % (2407783)Termination phase: Saturation
% 15.50/2.82 % (2407783)Time elapsed: 0.556 s
% 15.50/2.82 % (2407783)Peak memory usage: 97 MB
% 15.50/2.82 % (2407783)Instructions burned: 1188 (million)
% 15.50/2.82 % (2407805)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=4067756631: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)
% 15.50/2.82 % (2407809)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=1741185903:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2992 on theBenchmark for (2992ds/12125Mi)
% 15.50/2.82 % (2407805)Instruction limit reached!
% 15.50/2.82 % (2407805)------------------------------
% 15.50/2.82 % (2407805)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407805)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407805)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407805)Termination reason: Instruction limit
% 15.50/2.82 % (2407805)Termination phase: Saturation
% 15.50/2.82 % (2407805)Time elapsed: 0.178 s
% 15.50/2.82 % (2407805)Peak memory usage: 94 MB
% 15.50/2.82 % (2407805)Instructions burned: 318 (million)
% 15.50/2.82 % (2407811)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=771049301:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2991 on theBenchmark for (2991ds/2836Mi)
% 15.50/2.82 % (2407794)Instruction limit reached!
% 15.50/2.82 % (2407794)------------------------------
% 15.50/2.82 % (2407794)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407794)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407794)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407794)Termination reason: Instruction limit
% 15.50/2.82 % (2407794)Termination phase: Saturation
% 15.50/2.82 % (2407794)Time elapsed: 0.879 s
% 15.50/2.82 % (2407794)Peak memory usage: 142 MB
% 15.50/2.82 % (2407794)Instructions burned: 2051 (million)
% 15.50/2.82 % (2407814)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2809943494:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2987 on theBenchmark for (2987ds/14534Mi)
% 15.50/2.82 % (2407811)Instruction limit reached!
% 15.50/2.82 % (2407811)------------------------------
% 15.50/2.82 % (2407811)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.82 % (2407811)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.82 % (2407811)CaDiCaL version: 2.1.3
% 15.50/2.82 % (2407811)Termination reason: Instruction limit
% 15.50/2.82 % (2407811)Termination phase: Saturation
% 15.50/2.82 % (2407811)Time elapsed: 1.028 s
% 15.50/2.82 % (2407811)Peak memory usage: 142 MB
% 15.50/2.83 % (2407811)Instructions burned: 2837 (million)
% 15.50/2.83 % (2407779)First to succeed.
% 15.50/2.83 % (2407779)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2407757"
% 15.50/2.83 % (2407855)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=4271345299:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2979 on theBenchmark for (2979ds/11832Mi)
% 15.50/2.83 % (2407796)Instruction limit reached!
% 15.50/2.83 % (2407796)------------------------------
% 15.50/2.83 % (2407796)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 15.50/2.83 % (2407796)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 15.50/2.83 % (2407796)CaDiCaL version: 2.1.3
% 15.50/2.83 % (2407796)Termination reason: Instruction limit
% 15.50/2.83 % (2407796)Termination phase: Saturation
% 15.50/2.83 % (2407796)Time elapsed: 1.736 s
% 15.50/2.83 % (2407796)Peak memory usage: 169 MB
% 15.50/2.83 % (2407796)Instructions burned: 4949 (million)
% 15.50/2.83 % (2407809)Also succeeded, but the first one will report.
% 15.50/2.83 % (2407779)Refutation found. Thanks to Tanya!
% 15.50/2.83 % SZS status Unsatisfiable for theBenchmark
% 15.50/2.83 % SZS output start Proof for theBenchmark
% See solution above
% 16.03/2.92 % (2407779)------------------------------
% 16.03/2.92 % (2407779)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.03/2.92 % (2407779)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.03/2.92 % (2407779)CaDiCaL version: 2.1.3
% 16.03/2.92 % (2407779)Termination reason: Refutation
% 16.03/2.92 % (2407779)Time elapsed: 1.947 s
% 16.03/2.92 % (2407779)Peak memory usage: 165 MB
% 16.03/2.92 % (2407779)Instructions burned: 4968 (million)
% 16.03/2.92 % (2407779)------------------------------
% 16.03/2.92 % (2407779)------------------------------
% 16.03/2.92 % (2407757)Success in time 2.24 s
% 16.03/2.92 % Vampire exiting
%------------------------------------------------------------------------------