%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT187-1 : 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 : n016.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 11:46:11 AM UTC 2026
% Result : Unsatisfiable 49.59s 9.36s
% Output : Refutation 58.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 88
% Number of leaves : 18
% Syntax : Number of formulae : 344 ( 327 unt; 5 def)
% Number of atoms : 366 ( 365 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 46 ( 24 ~; 22 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 10 con; 0-2 aty)
% Number of variables : 760 ( 760 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
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,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(meet(X0,X1),join(meet(X0,X2),meet(X2,join(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H15) ).
fof(f13,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f14,definition,
sF0 = join(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f15,plain,
join(b,c) = sF0,
inference(reorient_equations,[],[f14]) ).
fof(f16,definition,
sF1 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f17,plain,
meet(a,sF0) = sF1,
inference(reorient_equations,[],[f16]) ).
fof(f18,definition,
sF2 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f19,plain,
meet(a,b) = sF2,
inference(reorient_equations,[],[f18]) ).
fof(f20,definition,
sF3 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f21,plain,
meet(a,c) = sF3,
inference(reorient_equations,[],[f20]) ).
fof(f22,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f23,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f22]) ).
fof(f24,plain,
sF1 != sF4,
inference(definition_folding,[],[f13,f23,f21,f19,f17,f15]) ).
fof(f25,plain,
sF2 = meet(b,a),
inference(forward_demodulation,[],[f19,f5]) ).
fof(f26,plain,
sF3 = meet(c,a),
inference(forward_demodulation,[],[f21,f5]) ).
fof(f32,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f33,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f32,f3]) ).
fof(f36,plain,
a = join(a,sF2),
inference(superposition,[],[f32,f25]) ).
fof(f37,plain,
a = join(a,sF3),
inference(superposition,[],[f32,f26]) ).
fof(f39,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f33,f6]) ).
fof(f41,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f43,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f44,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f32]) ).
fof(f46,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f56,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f62,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f41,f4]) ).
fof(f63,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f41,f32]) ).
fof(f68,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f32,f41]) ).
fof(f70,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f68,f6]) ).
fof(f71,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f63,f5]) ).
fof(f72,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f62,f5]) ).
fof(f79,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f125,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f41,f43]) ).
fof(f131,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f125,f5]) ).
fof(f139,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f140,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f41]) ).
fof(f154,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f155,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f4,f7]) ).
fof(f157,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f41,f7]) ).
fof(f164,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X1,X2))) = meet(X1,join(meet(X0,X1),join(meet(X1,X2),meet(X2,join(X1,X0))))),
inference(superposition,[],[f12,f5]) ).
fof(f194,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),join(meet(X0,X2),meet(X2,join(X0,X1)))),X3)) = meet(meet(X0,join(meet(X0,X1),meet(X0,X2))),X3),
inference(superposition,[],[f7,f12]) ).
fof(f200,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),join(meet(X0,X2),meet(X2,join(X0,X1)))),X3)) = meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3)),
inference(forward_demodulation,[],[f194,f7]) ).
fof(f247,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f248,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f251,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(superposition,[],[f43,f9]) ).
fof(f252,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f259,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f265,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f280,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f259]) ).
fof(f358,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f247]) ).
fof(f362,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f32,f247]) ).
fof(f365,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f248,f362]) ).
fof(f384,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f41,f358]) ).
fof(f390,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f251,f384]) ).
fof(f469,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(X0,X2))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),join(meet(X0,X2),meet(X2,one)))),
inference(superposition,[],[f12,f390]) ).
fof(f477,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(X0,X2))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),join(meet(X0,X2),X2))),
inference(forward_demodulation,[],[f469,f247]) ).
fof(f483,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(X0,X2))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),join(X2,meet(X0,X2)))),
inference(forward_demodulation,[],[f477,f6]) ).
fof(f484,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(X0,X2))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),X2)),
inference(forward_demodulation,[],[f483,f32]) ).
fof(f500,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f139,f5]) ).
fof(f514,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(join(X0,X2),X1),meet(X0,X1)),
inference(superposition,[],[f32,f139]) ).
fof(f521,plain,
! [X2,X0,X1] : meet(join(X0,X2),X1) = join(meet(X0,X1),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f514,f6]) ).
fof(f605,plain,
! [X0] : join(a,X0) = join(a,join(sF2,X0)),
inference(superposition,[],[f44,f25]) ).
fof(f683,plain,
! [X0,X1] : zero = meet(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f265,f5]) ).
fof(f787,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(superposition,[],[f11,f252]) ).
fof(f795,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f787]) ).
fof(f887,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f140,f4]) ).
fof(f903,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f140,f5]) ).
fof(f960,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f887,f154]) ).
fof(f972,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f960,f7]) ).
fof(f1492,plain,
sF2 = meet(sF2,a),
inference(superposition,[],[f41,f36]) ).
fof(f1504,plain,
sF2 = meet(a,sF2),
inference(forward_demodulation,[],[f1492,f5]) ).
fof(f1611,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,join(X1,X2))) = join(X2,join(X3,join(X0,X1))),
inference(superposition,[],[f56,f8]) ).
fof(f1814,plain,
sF3 = meet(sF3,a),
inference(superposition,[],[f41,f37]) ).
fof(f1829,plain,
sF3 = meet(a,sF3),
inference(forward_demodulation,[],[f1814,f5]) ).
fof(f2080,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),join(meet(X0,X2),meet(X2,join(X0,X1)))),X3)) = meet(X3,meet(X0,join(meet(X0,X1),meet(X0,X2)))),
inference(superposition,[],[f154,f12]) ).
fof(f2111,plain,
! [X2,X3,X0,X1] : meet(X1,join(meet(X0,meet(X1,X2)),meet(X1,X3))) = meet(X1,join(meet(X0,meet(X1,X2)),join(meet(X1,X3),meet(X3,join(X1,meet(X2,X0)))))),
inference(superposition,[],[f12,f154]) ).
fof(f2122,plain,
! [X2,X3,X0,X1] : meet(X2,meet(X3,X0)) = meet(X2,meet(X0,meet(join(X1,X2),X3))),
inference(superposition,[],[f140,f154]) ).
fof(f2903,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X1,join(X0,X2)),meet(X0,X1)),
inference(superposition,[],[f32,f500]) ).
fof(f2940,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f2903,f6]) ).
fof(f2967,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,X1)))),
inference(backward_demodulation,[],[f12,f2940]) ).
fof(f2968,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X1,X2))) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,X0)))),
inference(backward_demodulation,[],[f164,f2940]) ).
fof(f2971,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3)) = meet(X0,meet(join(meet(X0,X1),meet(X2,join(X0,X1))),X3)),
inference(backward_demodulation,[],[f200,f2940]) ).
fof(f2974,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,join(meet(X0,X1),meet(X0,X2)))) = meet(X0,meet(join(meet(X0,X1),meet(X2,join(X0,X1))),X3)),
inference(backward_demodulation,[],[f2080,f2940]) ).
fof(f2981,plain,
! [X2,X3,X0,X1] : meet(X1,join(meet(X0,meet(X1,X2)),meet(X1,X3))) = meet(X1,join(meet(X0,meet(X1,X2)),meet(X3,join(X1,meet(X2,X0))))),
inference(backward_demodulation,[],[f2111,f2940]) ).
fof(f3128,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,meet(X0,X1)),meet(X0,X2))) = meet(X0,join(meet(X0,meet(X0,X1)),meet(X2,X0))),
inference(superposition,[],[f2967,f4]) ).
fof(f3231,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(forward_demodulation,[],[f3128,f72]) ).
fof(f4287,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),meet(X2,join(X0,X1))),meet(meet(X1,X0),X0))) = meet(meet(X1,X0),join(meet(meet(X1,X0),meet(X2,join(X0,X1))),meet(X0,join(meet(X1,X0),meet(X0,X2))))),
inference(superposition,[],[f2967,f2968]) ).
fof(f4329,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(meet(X1,X0),meet(X2,join(X0,X1))),meet(meet(X1,X0),X0))) = meet(X1,meet(X0,join(meet(meet(X1,X0),meet(X2,join(X0,X1))),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4287,f7]) ).
fof(f4401,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(join(X0,X1),meet(meet(X1,X0),X2)),meet(meet(X1,X0),X0))) = meet(X1,meet(X0,join(meet(join(X0,X1),meet(meet(X1,X0),X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4329,f154]) ).
fof(f4448,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(join(X0,X1),meet(X1,meet(X0,X2))),meet(meet(X1,X0),X0))) = meet(X1,meet(X0,join(meet(join(X0,X1),meet(X1,meet(X0,X2))),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4401,f7]) ).
fof(f4476,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(X1,meet(meet(X0,X2),join(X0,X1))),meet(meet(X1,X0),X0))) = meet(X1,meet(X0,join(meet(X1,meet(meet(X0,X2),join(X0,X1))),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4448,f154]) ).
fof(f4493,plain,
! [X2,X0,X1] : meet(meet(X1,X0),join(meet(X1,meet(X0,X2)),meet(meet(X1,X0),X0))) = meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4476,f903]) ).
fof(f4501,plain,
! [X2,X0,X1] : meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))) = meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(meet(X1,X0),X0)))),
inference(forward_demodulation,[],[f4493,f7]) ).
fof(f4507,plain,
! [X2,X0,X1] : meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))) = meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,meet(X1,X0))))),
inference(forward_demodulation,[],[f4501,f5]) ).
fof(f4513,plain,
! [X2,X0,X1] : meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))) = meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X1,X0)))),
inference(forward_demodulation,[],[f4507,f71]) ).
fof(f4519,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2)))))),
inference(forward_demodulation,[],[f4513,f157]) ).
fof(f4540,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f79,f9]) ).
fof(f4559,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f4540]) ).
fof(f4571,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f4559,f5]) ).
fof(f4588,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f4571,f10]) ).
fof(f5549,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,complement(meet(X0,X2))),X1)) = meet(X0,join(meet(X0,X1),meet(X0,complement(meet(X0,X2))))),
inference(superposition,[],[f484,f6]) ).
fof(f7606,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f131,f4]) ).
fof(f7607,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(superposition,[],[f131,f32]) ).
fof(f7813,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X0,X2))) = join(meet(X0,X1),meet(X2,X0)),
inference(backward_demodulation,[],[f3231,f7607]) ).
fof(f7859,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,X1)))),
inference(backward_demodulation,[],[f2967,f7606]) ).
fof(f7861,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),meet(X2,join(X0,X1))),X3)) = meet(X3,join(meet(X0,X1),meet(X0,X2))),
inference(backward_demodulation,[],[f2974,f7606]) ).
fof(f7879,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,complement(meet(X0,X2))),X1)),
inference(backward_demodulation,[],[f5549,f7606]) ).
fof(f7895,plain,
! [X2,X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,X2)) = meet(X0,join(meet(X0,complement(meet(X0,X1))),X2)),
inference(backward_demodulation,[],[f484,f7606]) ).
fof(f8027,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3)) = meet(X3,join(meet(X0,X1),meet(X0,X2))),
inference(backward_demodulation,[],[f2971,f7861]) ).
fof(f8198,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,X0)))),
inference(superposition,[],[f7859,f5]) ).
fof(f8202,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(X1,X2)),meet(X1,X3)) = meet(X1,join(meet(X0,meet(X1,X2)),meet(X3,join(X1,meet(X2,X0))))),
inference(superposition,[],[f7859,f154]) ).
fof(f8247,plain,
! [X2,X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X2)) = meet(X0,join(meet(X0,meet(X0,X1)),meet(X2,X0))),
inference(superposition,[],[f7859,f4]) ).
fof(f8248,plain,
! [X2,X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X2)) = meet(X0,join(meet(X0,meet(X1,X0)),meet(X2,X0))),
inference(superposition,[],[f7859,f32]) ).
fof(f8274,plain,
! [X0] : join(meet(a,sF2),meet(a,X0)) = meet(a,join(meet(a,sF2),meet(X0,a))),
inference(superposition,[],[f7859,f36]) ).
fof(f8275,plain,
! [X0] : join(meet(a,sF3),meet(a,X0)) = meet(a,join(meet(a,sF3),meet(X0,a))),
inference(superposition,[],[f7859,f37]) ).
fof(f8305,plain,
! [X2,X0,X1] : meet(meet(X2,join(X0,X1)),X0) = meet(meet(X2,join(X0,X1)),join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f903,f7859]) ).
fof(f8364,plain,
! [X2,X0,X1] : meet(meet(X2,join(X0,X1)),X0) = meet(X2,meet(join(X0,X1),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f8305,f7]) ).
fof(f8384,plain,
! [X0] : join(meet(a,sF3),meet(a,X0)) = join(meet(a,sF3),meet(X0,a)),
inference(forward_demodulation,[],[f8275,f7607]) ).
fof(f8385,plain,
! [X0] : join(meet(a,sF2),meet(a,X0)) = join(meet(a,sF2),meet(X0,a)),
inference(forward_demodulation,[],[f8274,f7607]) ).
fof(f8401,plain,
! [X2,X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X2)) = join(meet(X0,meet(X1,X0)),meet(X2,X0)),
inference(forward_demodulation,[],[f8248,f7607]) ).
fof(f8402,plain,
! [X2,X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X2)) = join(meet(X0,meet(X0,X1)),meet(X2,X0)),
inference(forward_demodulation,[],[f8247,f7607]) ).
fof(f8437,plain,
! [X2,X3,X0,X1] : join(meet(X0,meet(X1,X2)),meet(X1,X3)) = meet(X1,join(meet(X0,meet(X1,X2)),meet(X1,X3))),
inference(backward_demodulation,[],[f2981,f8202]) ).
fof(f8441,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X1,X2))),
inference(backward_demodulation,[],[f2968,f8198]) ).
fof(f8461,plain,
! [X2,X0,X1] : meet(X0,meet(X2,join(X0,X1))) = meet(X2,meet(join(X0,X1),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f8364,f5]) ).
fof(f8479,plain,
! [X0] : join(sF3,meet(a,X0)) = join(sF3,meet(X0,a)),
inference(forward_demodulation,[],[f8384,f1829]) ).
fof(f8480,plain,
! [X0] : join(sF2,meet(a,X0)) = join(sF2,meet(X0,a)),
inference(forward_demodulation,[],[f8385,f1504]) ).
fof(f8496,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = join(meet(X1,X0),meet(X2,X0)),
inference(forward_demodulation,[],[f8401,f71]) ).
fof(f8497,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(forward_demodulation,[],[f8402,f72]) ).
fof(f8521,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X1,meet(X0,X2)),meet(X0,join(meet(X1,X0),meet(X0,X2))))),
inference(backward_demodulation,[],[f4519,f8437]) ).
fof(f8552,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X2,meet(join(X0,X1),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f8461,f500]) ).
fof(f8583,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X1,meet(X0,X2)),join(meet(X1,X0),meet(X0,X2)))),
inference(forward_demodulation,[],[f8521,f8441]) ).
fof(f8607,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X0,X2),join(meet(X1,meet(X0,X2)),meet(X1,X0)))),
inference(forward_demodulation,[],[f8583,f56]) ).
fof(f8625,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X0,X2),meet(X1,X0))),
inference(forward_demodulation,[],[f8607,f44]) ).
fof(f8761,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f44,f8497]) ).
fof(f8803,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(X2,X0)),
inference(forward_demodulation,[],[f8761,f44]) ).
fof(f8995,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3)) = meet(join(meet(X0,X1),meet(X2,X0)),X3),
inference(superposition,[],[f7,f7813]) ).
fof(f9006,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(join(meet(X0,X1),meet(X2,X0)),meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3))),
inference(superposition,[],[f155,f7813]) ).
fof(f9035,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(meet(X0,X1),join(meet(X2,X0),meet(X0,meet(join(meet(X0,X1),meet(X0,X2)),X3)))),
inference(forward_demodulation,[],[f9006,f8]) ).
fof(f9130,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = join(meet(X0,X1),join(meet(X2,X0),meet(X3,join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f9035,f8027]) ).
fof(f9750,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(X2,X1),X0),
inference(superposition,[],[f6,f8803]) ).
fof(f11147,plain,
! [X0,X1] : meet(X0,one) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f7879,f9]) ).
fof(f11247,plain,
! [X0,X1] : meet(X0,one) = join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f11147,f6]) ).
fof(f11328,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f11247,f247]) ).
fof(f11504,plain,
! [X2,X0,X1] : join(meet(X1,complement(meet(X1,X2))),meet(X1,X0)) = meet(X1,join(X0,meet(X1,complement(meet(X1,X2))))),
inference(superposition,[],[f7895,f6]) ).
fof(f21326,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),X3) = meet(X0,meet(join(meet(X1,X2),meet(X0,X1)),X3)),
inference(superposition,[],[f7,f8625]) ).
fof(f21415,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,X3)) = meet(X0,meet(join(meet(X1,X2),meet(X0,X1)),X3)),
inference(forward_demodulation,[],[f21326,f7]) ).
fof(f21714,plain,
! [X2,X3,X0,X1] : meet(join(X0,X3),join(meet(X0,X1),meet(X0,X2))) = join(join(meet(X0,X1),meet(X2,X0)),meet(join(X0,X3),join(meet(X0,X1),meet(X0,X2)))),
inference(superposition,[],[f521,f7813]) ).
fof(f22052,plain,
! [X2,X3,X0,X1] : meet(join(X0,X3),join(meet(X0,X1),meet(X0,X2))) = join(meet(X0,X1),join(meet(X2,X0),meet(join(X0,X3),join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f21714,f8]) ).
fof(f22147,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = meet(join(X0,X3),join(meet(X0,X1),meet(X0,X2))),
inference(forward_demodulation,[],[f22052,f9130]) ).
fof(f22181,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X2,join(meet(X0,X1),meet(X2,X0))),
inference(backward_demodulation,[],[f8552,f22147]) ).
fof(f25238,plain,
! [X0,X1] : join(complement(meet(X0,X1)),X0) = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f44,f11328]) ).
fof(f25307,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f25238,f6]) ).
fof(f25364,plain,
! [X0,X1] : one = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f25307,f390]) ).
fof(f25560,plain,
! [X0,X1] :
( one != one
| zero != meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))
| complement(complement(meet(X0,X1))) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))) ),
inference(superposition,[],[f11,f25364]) ).
fof(f25590,plain,
! [X0,X1] :
( zero != meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))
| complement(complement(meet(X0,X1))) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))) ),
inference(trivial_inequality_removal,[],[f25560]) ).
fof(f25615,plain,
! [X0,X1] : complement(complement(meet(X0,X1))) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_subsumption_resolution,[],[f25590,f683]) ).
fof(f25672,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f25615,f4588]) ).
fof(f25704,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,X1)) = X0,
inference(backward_demodulation,[],[f11328,f25672]) ).
fof(f25740,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f25704,f6]) ).
fof(f25826,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X0,X1)))) = X1,
inference(superposition,[],[f25740,f22181]) ).
fof(f25876,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f44,f25740]) ).
fof(f26158,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f25876,f5]) ).
fof(f26650,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,complement(meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f25672,f22181]) ).
fof(f26704,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f7895,f25672]) ).
fof(f26706,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,meet(X0,X1))),
inference(superposition,[],[f11504,f25672]) ).
fof(f26850,plain,
! [X2,X0,X1] : meet(X0,X2) = join(meet(X2,X0),meet(X2,meet(X0,X1))),
inference(backward_demodulation,[],[f22181,f26706]) ).
fof(f27607,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X1,X2)),
inference(superposition,[],[f26704,f71]) ).
fof(f27640,plain,
! [X0] : join(sF2,meet(a,X0)) = meet(a,join(sF2,X0)),
inference(superposition,[],[f26704,f1504]) ).
fof(f27713,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X0,X2)),X3) = meet(X0,meet(join(meet(X0,X1),X2),X3)),
inference(superposition,[],[f7,f26704]) ).
fof(f27826,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X2,X0)),X3) = meet(X0,meet(X0,meet(join(meet(X0,X1),X2),X3))),
inference(backward_demodulation,[],[f8995,f27713]) ).
fof(f28405,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X2,X0)),X3) = meet(X0,meet(join(meet(X0,X1),X2),X3)),
inference(forward_demodulation,[],[f27826,f72]) ).
fof(f28723,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,X3)) = meet(X0,meet(X1,meet(join(meet(X1,X2),X0),X3))),
inference(backward_demodulation,[],[f21415,f28405]) ).
fof(f28901,plain,
! [X3,X0,X1] : meet(X0,meet(X1,X3)) = meet(X0,meet(X3,X1)),
inference(forward_demodulation,[],[f28723,f2122]) ).
fof(f29239,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,meet(join(X0,X1),complement(X0))),
inference(superposition,[],[f26158,f3]) ).
fof(f29396,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[],[f29239,f8803]) ).
fof(f29448,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[],[f29396,f39]) ).
fof(f29493,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,join(complement(X0),X1))),
inference(superposition,[],[f29448,f4588]) ).
fof(f30686,plain,
! [X0,X1] :
( zero != meet(meet(X1,X0),join(meet(X0,complement(meet(X1,X0))),complement(X0)))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(superposition,[],[f795,f25826]) ).
fof(f30699,plain,
! [X0,X1] :
( zero != meet(X1,meet(X0,join(meet(X0,complement(meet(X1,X0))),complement(X0))))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(forward_demodulation,[],[f30686,f7]) ).
fof(f30758,plain,
! [X0,X1] :
( zero != meet(X1,join(meet(X0,complement(meet(X1,X0))),meet(X0,complement(X0))))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(forward_demodulation,[],[f30699,f26704]) ).
fof(f30789,plain,
! [X0,X1] :
( zero != meet(X1,join(meet(X0,complement(X0)),meet(X0,complement(meet(X1,X0)))))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(forward_demodulation,[],[f30758,f6]) ).
fof(f30804,plain,
! [X0,X1] :
( zero != meet(X1,join(zero,meet(X0,complement(meet(X1,X0)))))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(forward_demodulation,[],[f30789,f10]) ).
fof(f30807,plain,
! [X0,X1] :
( zero != meet(X1,meet(X0,complement(meet(X1,X0))))
| complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)) ),
inference(forward_demodulation,[],[f30804,f280]) ).
fof(f30809,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(meet(X0,complement(meet(X1,X0))),complement(X0)),
inference(forward_subsumption_resolution,[],[f30807,f265]) ).
fof(f30811,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),meet(X0,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f30809,f6]) ).
fof(f30887,plain,
! [X0,X1] : complement(X1) = meet(complement(X1),complement(meet(X0,X1))),
inference(superposition,[],[f3,f30811]) ).
fof(f31810,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(join(X0,X1),complement(X0)))) = X0,
inference(superposition,[],[f26650,f3]) ).
fof(f31811,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(join(X1,X0),complement(X0)))) = X0,
inference(superposition,[],[f26650,f41]) ).
fof(f31979,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(complement(X0),join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f31811,f5]) ).
fof(f31980,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(complement(X0),join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f31810,f5]) ).
fof(f32494,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(superposition,[],[f30887,f5]) ).
fof(f32511,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f30887,f3]) ).
fof(f32512,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f30887,f41]) ).
fof(f32514,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = meet(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),meet(X0,X2)))),
inference(superposition,[],[f30887,f26704]) ).
fof(f32565,plain,
! [X2,X0,X1] : join(complement(meet(X1,X0)),X2) = join(complement(meet(X1,X0)),join(complement(X0),X2)),
inference(superposition,[],[f44,f30887]) ).
fof(f32617,plain,
! [X2,X0,X1] : join(complement(meet(X1,X0)),X2) = join(complement(X0),join(X2,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f32565,f56]) ).
fof(f32636,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f32512,f5]) ).
fof(f32637,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f32511,f5]) ).
fof(f32907,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f32,f32494]) ).
fof(f32963,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f32907,f6]) ).
fof(f33005,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(meet(complement(X0),X1))),
inference(superposition,[],[f32963,f4588]) ).
fof(f33764,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f32637,f4588]) ).
fof(f33851,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f4,f32637]) ).
fof(f34003,plain,
! [X2,X0,X1] : meet(X2,X0) = join(meet(X2,X0),meet(X2,complement(join(complement(X0),X1)))),
inference(superposition,[],[f155,f33764]) ).
fof(f34408,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f33851,f70]) ).
fof(f34426,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(meet(X0,X1))),
inference(superposition,[],[f33851,f26850]) ).
fof(f35009,plain,
! [X0,X1] : meet(complement(X1),X0) = join(meet(complement(X1),X0),complement(join(complement(X0),X1))),
inference(superposition,[],[f34003,f32636]) ).
fof(f35184,plain,
! [X0,X1] : meet(complement(X1),complement(X0)) = join(meet(complement(X1),complement(X0)),complement(join(X0,X1))),
inference(superposition,[],[f35009,f4588]) ).
fof(f35262,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(complement(join(complement(X1),X0))),complement(meet(complement(X0),X1))),
inference(superposition,[],[f34408,f35009]) ).
fof(f35263,plain,
! [X0,X1] : complement(complement(join(complement(X1),X0))) = join(complement(meet(complement(X0),X1)),complement(complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f35262,f6]) ).
fof(f35315,plain,
! [X0,X1] : meet(complement(X1),complement(X0)) = join(complement(join(X0,X1)),meet(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f35184,f6]) ).
fof(f35335,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(meet(complement(X0),X1)),join(complement(X1),X0)),
inference(forward_demodulation,[],[f35263,f4588]) ).
fof(f35393,plain,
! [X0,X1] : join(complement(X1),X0) = join(join(complement(X1),X0),complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f35335,f6]) ).
fof(f35442,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(X1),join(X0,complement(meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f35393,f8]) ).
fof(f35479,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(meet(complement(X0),X1)),X0),
inference(forward_demodulation,[],[f35442,f32617]) ).
fof(f35500,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f35479,f6]) ).
fof(f35517,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(backward_demodulation,[],[f33005,f35500]) ).
fof(f35572,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(join(X0,X1)),X0)) = X0,
inference(backward_demodulation,[],[f31980,f35517]) ).
fof(f35576,plain,
! [X0,X1] : meet(join(X1,X0),join(complement(join(X1,X0)),X0)) = X0,
inference(backward_demodulation,[],[f31979,f35517]) ).
fof(f35660,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f35576,f6]) ).
fof(f35664,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f35572,f6]) ).
fof(f35703,plain,
! [X2,X0,X1] : complement(meet(join(complement(X0),X1),X2)) = join(complement(X2),meet(complement(X1),X0)),
inference(superposition,[],[f35517,f35517]) ).
fof(f35704,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(superposition,[],[f35517,f4588]) ).
fof(f35713,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(superposition,[],[f35517,f5]) ).
fof(f35751,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,meet(complement(X1),join(complement(X0),X1))),
inference(superposition,[],[f25876,f35517]) ).
fof(f35768,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(superposition,[],[f4588,f35517]) ).
fof(f36072,plain,
! [X0,X1] : complement(meet(X1,X0)) = complement(meet(meet(X0,X1),meet(X1,X0))),
inference(backward_demodulation,[],[f34426,f35704]) ).
fof(f36133,plain,
! [X0,X1] : meet(complement(X1),complement(X0)) = complement(meet(join(complement(complement(X0)),X1),join(X0,X1))),
inference(backward_demodulation,[],[f35315,f35703]) ).
fof(f36320,plain,
! [X0,X1] : complement(meet(X1,X0)) = complement(meet(X0,meet(meet(X0,X1),X1))),
inference(forward_demodulation,[],[f36072,f154]) ).
fof(f36329,plain,
! [X0,X1] : meet(complement(X1),complement(X0)) = complement(meet(join(X0,X1),join(complement(complement(X0)),X1))),
inference(forward_demodulation,[],[f36133,f5]) ).
fof(f36416,plain,
! [X0,X1] : complement(meet(X1,X0)) = complement(meet(X0,meet(X1,meet(X0,X1)))),
inference(forward_demodulation,[],[f36320,f28901]) ).
fof(f36421,plain,
! [X0,X1] : meet(complement(X1),complement(X0)) = complement(meet(join(X0,X1),join(X0,X1))),
inference(forward_demodulation,[],[f36329,f4588]) ).
fof(f36475,plain,
! [X0,X1] : complement(meet(X1,X0)) = complement(meet(X0,meet(X1,X1))),
inference(forward_demodulation,[],[f36416,f972]) ).
fof(f36476,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(X0)),
inference(forward_demodulation,[],[f36421,f1]) ).
fof(f36512,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f36475,f1]) ).
fof(f36550,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(join(meet(X0,X1),meet(X0,X2)),join(meet(X0,X1),X2))),
inference(backward_demodulation,[],[f32514,f36476]) ).
fof(f36621,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(join(meet(X0,X1),X2),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f36550,f6]) ).
fof(f36668,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(meet(X0,X2),join(join(meet(X0,X1),X2),meet(X0,X1)))),
inference(forward_demodulation,[],[f36621,f56]) ).
fof(f36696,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(meet(X0,X2),join(meet(X0,X1),join(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f36668,f6]) ).
fof(f36720,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(X2,join(meet(X0,X2),join(meet(X0,X1),meet(X0,X1))))),
inference(forward_demodulation,[],[f36696,f1611]) ).
fof(f36734,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(X2,join(meet(X0,X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f36720,f44]) ).
fof(f36742,plain,
! [X2,X0,X1] : complement(join(meet(X0,X1),X2)) = complement(join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f36734,f2]) ).
fof(f36748,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(X1,complement(X0))),
inference(superposition,[],[f35704,f4588]) ).
fof(f36781,plain,
! [X2,X0,X1] : join(X2,complement(meet(X0,X1))) = join(complement(X1),join(complement(X0),X2)),
inference(superposition,[],[f56,f35704]) ).
fof(f36926,plain,
! [X2,X0,X1] : complement(join(meet(complement(X0),X1),X2)) = meet(complement(X2),join(complement(X1),X0)),
inference(superposition,[],[f35768,f35768]) ).
fof(f37057,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(meet(complement(X1),X0),X1))),
inference(backward_demodulation,[],[f35751,f36926]) ).
fof(f37108,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,meet(complement(X1),X0)))),
inference(forward_demodulation,[],[f37057,f36742]) ).
fof(f37195,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X1,join(X0,complement(X1)))),
inference(superposition,[],[f25876,f36748]) ).
fof(f37211,plain,
! [X2,X0,X1] : complement(meet(join(X0,complement(X1)),X2)) = join(complement(X2),meet(X1,complement(X0))),
inference(superposition,[],[f35517,f36748]) ).
fof(f37525,plain,
! [X2,X0,X1] : complement(join(meet(X1,complement(X0)),X2)) = meet(complement(X2),join(X0,complement(X1))),
inference(superposition,[],[f36476,f36748]) ).
fof(f37542,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(meet(X0,complement(X1)),X1))),
inference(superposition,[],[f26158,f36476]) ).
fof(f37554,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(superposition,[],[f5,f36476]) ).
fof(f37584,plain,
! [X2,X0,X1] : join(complement(join(X0,X1)),X2) = join(X2,meet(complement(X0),complement(X1))),
inference(superposition,[],[f9750,f36476]) ).
fof(f37605,plain,
! [X2,X0,X1] : join(complement(join(X0,X1)),X2) = join(X2,complement(join(X1,X0))),
inference(forward_demodulation,[],[f37584,f36476]) ).
fof(f37636,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,meet(X0,complement(X1))))),
inference(forward_demodulation,[],[f37542,f36742]) ).
fof(f37970,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f140,f35664]) ).
fof(f38411,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f37970,f6]) ).
fof(f38449,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(join(X1,X0),complement(join(X0,join(X1,X2))))),
inference(superposition,[],[f37970,f46]) ).
fof(f38629,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X1,join(X0,complement(join(X0,join(X1,X2)))))),
inference(forward_demodulation,[],[f38449,f8]) ).
fof(f38668,plain,
! [X0,X1] :
( complement(X0) = join(X1,complement(join(X0,X1)))
| meet(X0,X1) != zero ),
inference(backward_demodulation,[],[f795,f38411]) ).
fof(f40044,plain,
! [X0,X1] :
( complement(X0) = join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1)))
| zero != meet(X0,meet(X1,complement(meet(X1,X0)))) ),
inference(superposition,[],[f38668,f25876]) ).
fof(f40251,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1))),
inference(forward_subsumption_resolution,[],[f40044,f683]) ).
fof(f40305,plain,
! [X0,X1] : complement(X0) = join(complement(join(X1,X0)),meet(X1,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f40251,f37605]) ).
fof(f40345,plain,
! [X0,X1] : complement(X0) = complement(meet(join(meet(X1,X0),complement(X1)),join(X1,X0))),
inference(forward_demodulation,[],[f40305,f37211]) ).
fof(f40371,plain,
! [X0,X1] : complement(X0) = complement(meet(join(X1,X0),join(meet(X1,X0),complement(X1)))),
inference(forward_demodulation,[],[f40345,f36512]) ).
fof(f40384,plain,
! [X0,X1] : complement(X0) = complement(meet(join(X1,X0),join(complement(X1),meet(X1,X0)))),
inference(forward_demodulation,[],[f40371,f6]) ).
fof(f40414,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1)))),
inference(superposition,[],[f35660,f25876]) ).
fof(f40635,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),join(complement(join(X1,X0)),meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f40414,f37605]) ).
fof(f40713,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),complement(meet(join(meet(X1,X0),complement(X1)),join(X1,X0)))),
inference(forward_demodulation,[],[f40635,f37211]) ).
fof(f40761,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),complement(meet(join(X1,X0),join(meet(X1,X0),complement(X1))))),
inference(forward_demodulation,[],[f40713,f36512]) ).
fof(f40786,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),complement(meet(join(X1,X0),join(complement(X1),meet(X1,X0))))),
inference(forward_demodulation,[],[f40761,f6]) ).
fof(f40798,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = meet(X1,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f40786,f40384]) ).
fof(f40806,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f40798,f5]) ).
fof(f40849,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,X0),X1)) = meet(X0,join(join(meet(X2,X0),X1),complement(join(X0,X1)))),
inference(superposition,[],[f38411,f44]) ).
fof(f40850,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(join(complement(X0),X1),complement(one))),
inference(superposition,[],[f38411,f365]) ).
fof(f40874,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(a,join(join(sF2,X0),complement(join(a,X0)))),
inference(superposition,[],[f38411,f605]) ).
fof(f41040,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(a,join(complement(join(X0,a)),join(sF2,X0))),
inference(forward_demodulation,[],[f40874,f37605]) ).
fof(f41058,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(one),join(complement(X0),X1))),
inference(forward_demodulation,[],[f40850,f6]) ).
fof(f41059,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,X0),X1)) = meet(X0,join(complement(join(X1,X0)),join(meet(X2,X0),X1))),
inference(forward_demodulation,[],[f40849,f37605]) ).
fof(f41128,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(a,join(X0,join(complement(join(X0,a)),sF2))),
inference(forward_demodulation,[],[f41040,f56]) ).
fof(f41144,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(X1,complement(meet(X0,one)))),
inference(forward_demodulation,[],[f41058,f36781]) ).
fof(f41145,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,X0),X1)) = meet(X0,join(X1,join(complement(join(X1,X0)),meet(X2,X0)))),
inference(forward_demodulation,[],[f41059,f56]) ).
fof(f41195,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(a,join(X0,join(sF2,complement(join(X0,a))))),
inference(forward_demodulation,[],[f41128,f6]) ).
fof(f41209,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f41144,f247]) ).
fof(f41210,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(X1,join(complement(join(X1,X0)),meet(X2,X0)))),
inference(forward_demodulation,[],[f41145,f27607]) ).
fof(f41235,plain,
! [X0] : join(sF2,meet(a,X0)) = meet(a,join(X0,join(sF2,complement(join(X0,a))))),
inference(forward_demodulation,[],[f41195,f27640]) ).
fof(f41563,plain,
! [X0,X1] : meet(X1,complement(meet(X1,complement(X0)))) = meet(X0,join(complement(X0),X1)),
inference(superposition,[],[f40806,f4588]) ).
fof(f41663,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,meet(complement(X0),join(X0,X1))),
inference(superposition,[],[f72,f40806]) ).
fof(f41695,plain,
! [X0,X1] : meet(complement(X0),join(X0,complement(X1))) = complement(join(X1,meet(complement(X1),X0))),
inference(superposition,[],[f37554,f40806]) ).
fof(f41713,plain,
! [X0,X1] : complement(join(X1,meet(complement(X1),X0))) = complement(join(meet(X1,complement(X0)),X0)),
inference(forward_demodulation,[],[f41695,f37525]) ).
fof(f41732,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(X0)),
inference(forward_demodulation,[],[f41663,f903]) ).
fof(f41799,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f41563,f35713]) ).
fof(f41814,plain,
! [X0,X1] : complement(join(X1,meet(complement(X1),X0))) = complement(join(X0,meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f41713,f36742]) ).
fof(f41827,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(X0))),
inference(backward_demodulation,[],[f29448,f41732]) ).
fof(f42232,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,meet(complement(X1),X0))),
inference(backward_demodulation,[],[f41814,f41827]) ).
fof(f42236,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(X0,complement(X1)),
inference(backward_demodulation,[],[f37636,f41827]) ).
fof(f42460,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(X0))),
inference(backward_demodulation,[],[f38411,f42236]) ).
fof(f42495,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f37108,f42232]) ).
fof(f42639,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X1,X0)),
inference(backward_demodulation,[],[f37195,f42460]) ).
fof(f42646,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f41209,f42460]) ).
fof(f42697,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X1,join(X0,complement(join(X1,X2))))),
inference(backward_demodulation,[],[f38629,f42495]) ).
fof(f42822,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(backward_demodulation,[],[f29493,f42646]) ).
fof(f42844,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),X0)),
inference(backward_demodulation,[],[f41799,f42646]) ).
fof(f42916,plain,
! [X0] : join(sF2,meet(a,X0)) = meet(a,join(X0,sF2)),
inference(backward_demodulation,[],[f41235,f42697]) ).
fof(f43170,plain,
! [X0,X1] : join(complement(complement(X1)),complement(X0)) = join(complement(complement(X1)),complement(join(X0,X1))),
inference(superposition,[],[f42822,f36476]) ).
fof(f43244,plain,
! [X0,X1] : join(complement(complement(X1)),complement(X0)) = complement(meet(join(X0,X1),complement(X1))),
inference(forward_demodulation,[],[f43170,f35704]) ).
fof(f43310,plain,
! [X0,X1] : join(complement(join(X0,X1)),X1) = join(complement(complement(X1)),complement(X0)),
inference(forward_demodulation,[],[f43244,f35713]) ).
fof(f43336,plain,
! [X0,X1] : join(complement(join(X0,X1)),X1) = complement(meet(X0,complement(X1))),
inference(forward_demodulation,[],[f43310,f35704]) ).
fof(f43352,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(join(X0,X1)),X1),
inference(forward_demodulation,[],[f43336,f35713]) ).
fof(f43362,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),X1),
inference(forward_demodulation,[],[f43352,f6]) ).
fof(f43450,plain,
! [X2,X0,X1] : join(X2,join(complement(X0),X1)) = join(complement(X0),join(meet(X1,X0),X2)),
inference(superposition,[],[f56,f42639]) ).
fof(f44522,plain,
! [X2,X0,X1] : join(join(meet(X2,X0),X1),complement(join(X0,X1))) = join(complement(X0),join(meet(X2,X0),X1)),
inference(superposition,[],[f43362,f44]) ).
fof(f44707,plain,
! [X2,X0,X1] : join(join(meet(X2,X0),X1),complement(join(X0,X1))) = join(X1,join(complement(X0),X2)),
inference(forward_demodulation,[],[f44522,f43450]) ).
fof(f44777,plain,
! [X2,X0,X1] : join(X1,join(complement(X0),X2)) = join(complement(join(X1,X0)),join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f44707,f37605]) ).
fof(f44833,plain,
! [X2,X0,X1] : join(X1,join(complement(X0),X2)) = join(X1,join(complement(join(X1,X0)),meet(X2,X0))),
inference(forward_demodulation,[],[f44777,f56]) ).
fof(f44867,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(X1,join(complement(X0),X2))),
inference(backward_demodulation,[],[f41210,f44833]) ).
fof(f46282,plain,
! [X2,X0,X1] : meet(join(X2,X0),X1) = meet(X1,join(X0,join(complement(X1),X2))),
inference(superposition,[],[f42844,f56]) ).
fof(f46400,plain,
! [X2,X0,X1] : meet(join(X2,X1),X0) = join(meet(X2,X0),meet(X0,X1)),
inference(backward_demodulation,[],[f44867,f46282]) ).
fof(f46468,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = join(meet(X1,X0),meet(X2,X0)),
inference(backward_demodulation,[],[f8496,f46400]) ).
fof(f50102,plain,
! [X0] : join(sF2,meet(X0,a)) = meet(join(b,X0),a),
inference(superposition,[],[f46468,f25]) ).
fof(f50109,plain,
! [X0] : join(sF3,meet(X0,a)) = meet(join(c,X0),a),
inference(superposition,[],[f46468,f26]) ).
fof(f50427,plain,
! [X0] : meet(a,join(c,X0)) = join(sF3,meet(X0,a)),
inference(forward_demodulation,[],[f50109,f5]) ).
fof(f50434,plain,
! [X0] : meet(a,join(b,X0)) = join(sF2,meet(X0,a)),
inference(forward_demodulation,[],[f50102,f5]) ).
fof(f50667,plain,
! [X0] : meet(a,join(c,X0)) = join(sF3,meet(a,X0)),
inference(backward_demodulation,[],[f8479,f50427]) ).
fof(f50674,plain,
! [X0] : meet(a,join(b,X0)) = join(sF2,meet(a,X0)),
inference(backward_demodulation,[],[f8480,f50434]) ).
fof(f50879,plain,
! [X0] : meet(a,join(b,X0)) = meet(a,join(X0,sF2)),
inference(backward_demodulation,[],[f42916,f50674]) ).
fof(f55283,plain,
join(sF3,sF2) = meet(a,join(c,sF2)),
inference(superposition,[],[f50667,f1504]) ).
fof(f55433,plain,
meet(a,join(b,c)) = join(sF3,sF2),
inference(forward_demodulation,[],[f55283,f50879]) ).
fof(f55488,plain,
meet(a,join(b,c)) = join(sF2,sF3),
inference(forward_demodulation,[],[f55433,f6]) ).
fof(f55522,plain,
meet(a,join(b,c)) = sF4,
inference(forward_demodulation,[],[f55488,f23]) ).
fof(f55546,plain,
meet(a,sF0) = sF4,
inference(forward_demodulation,[],[f55522,f15]) ).
fof(f55555,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f55546,f17]) ).
fof(f55557,plain,
$false,
inference(forward_subsumption_resolution,[],[f55555,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT187-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 % Computer : n016.cluster.edu
% 0.15/0.41 % Model : x86_64 x86_64
% 0.15/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.41 % Memory : 8046.5625MB
% 0.15/0.41 % OS : Linux 6.8.0-71-generic
% 0.15/0.41 % CPULimit : 300
% 0.15/0.41 % WCLimit : 300
% 0.15/0.41 % DateTime : Sun Sep 27 14:10:17 UTC 2026
% 0.15/0.42 % CPUTime :
% 0.15/0.42 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.46 Running first-order theorem proving
% 0.15/0.46 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
% 12.77/3.04 % (2676212)Input is clausal, will run a generic CNF schedule.
% 12.77/3.04 % (2676228)lrs+10_1_sil=8000:sp=occurrence:random_seed=2874565226:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.77/3.04 % (2676230)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2131819012:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.77/3.04 % (2676229)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=216285569:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.77/3.04 % (2676226)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4262596959:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.77/3.04 % (2676227)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4219971116:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.77/3.04 % (2676225)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1307958880:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.77/3.04 % (2676228)Instruction limit reached!
% 12.77/3.04 % (2676228)------------------------------
% 12.77/3.04 % (2676228)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.04 % (2676228)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.04 % (2676228)CaDiCaL version: 2.1.3
% 12.77/3.04 % (2676228)Termination reason: Instruction limit
% 12.77/3.04 % (2676228)Termination phase: Saturation
% 12.77/3.04 % (2676228)Time elapsed: 0.084 s
% 12.77/3.04 % (2676228)Peak memory usage: 88 MB
% 12.77/3.04 % (2676228)Instructions burned: 107 (million)
% 12.77/3.04 % (2676231)dis-21_1_sil=8000:lcm=predicate:random_seed=41597276:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.77/3.04 % (2676231)Refutation not found, incomplete strategy
% 12.77/3.04 % (2676231)------------------------------
% 12.77/3.04 % (2676231)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.04 % (2676231)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.04 % (2676231)CaDiCaL version: 2.1.3
% 12.77/3.04 % (2676231)Termination reason: Refutation not found, incomplete strategy
% 12.77/3.04 % (2676231)Time elapsed: 0.003 s
% 12.77/3.04 % (2676231)Peak memory usage: 88 MB
% 12.77/3.04 % (2676231)Instructions burned: 1 (million)
% 12.77/3.04 % (2676230)Instruction limit reached!
% 12.77/3.04 % (2676230)------------------------------
% 12.77/3.04 % (2676230)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.04 % (2676230)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.04 % (2676230)CaDiCaL version: 2.1.3
% 12.77/3.04 % (2676230)Termination reason: Instruction limit
% 12.77/3.04 % (2676230)Termination phase: Saturation
% 12.77/3.04 % (2676230)Time elapsed: 0.093 s
% 12.77/3.04 % (2676230)Peak memory usage: 89 MB
% 12.77/3.04 % (2676230)Instructions burned: 181 (million)
% 12.77/3.04 % (2676229)Instruction limit reached!
% 12.77/3.04 % (2676229)------------------------------
% 12.77/3.04 % (2676229)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.04 % (2676229)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.04 % (2676229)CaDiCaL version: 2.1.3
% 12.77/3.04 % (2676229)Termination reason: Instruction limit
% 12.77/3.04 % (2676229)Termination phase: Saturation
% 12.77/3.04 % (2676229)Time elapsed: 0.107 s
% 12.77/3.04 % (2676229)Peak memory usage: 89 MB
% 12.77/3.04 % (2676229)Instructions burned: 114 (million)
% 12.77/3.04 % (2676240)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2095708593:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.77/3.04 % (2676240)Refutation not found, incomplete strategy
% 12.77/3.04 % (2676240)------------------------------
% 12.77/3.04 % (2676240)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.77/3.04 % (2676240)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.77/3.04 % (2676240)CaDiCaL version: 2.1.3
% 12.77/3.04 % (2676240)Termination reason: Refutation not found, incomplete strategy
% 12.77/3.04 % (2676240)Time elapsed: 0.002 s
% 12.77/3.04 % (2676240)Peak memory usage: 88 MB
% 12.77/3.04 % (2676240)Instructions burned: 1 (million)
% 33.59/5.79 % (2676239)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=1417572105:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 33.59/5.79 % (2676239)Refutation not found, incomplete strategy
% 33.59/5.79 % (2676239)------------------------------
% 33.59/5.79 % (2676239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.59/5.79 % (2676239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.79 % (2676239)CaDiCaL version: 2.1.3
% 33.59/5.79 % (2676239)Termination reason: Refutation not found, incomplete strategy
% 33.59/5.79 % (2676239)Time elapsed: 0.002 s
% 33.59/5.79 % (2676239)Peak memory usage: 88 MB
% 33.59/5.79 % (2676242)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=706251338:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 33.59/5.79 % (2676242)Refutation not found, incomplete strategy
% 33.59/5.79 % (2676242)------------------------------
% 33.59/5.79 % (2676242)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.59/5.79 % (2676242)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.79 % (2676242)CaDiCaL version: 2.1.3
% 33.59/5.79 % (2676242)Termination reason: Refutation not found, incomplete strategy
% 33.59/5.79 % (2676242)Time elapsed: 0.002 s
% 33.59/5.79 % (2676242)Peak memory usage: 88 MB
% 33.59/5.79 % (2676231)------------------------------
% 33.59/5.79 % (2676231)------------------------------
% 33.59/5.79 % (2676240)------------------------------
% 33.59/5.79 % (2676240)------------------------------
% 33.59/5.79 % (2676247)lrs+10_64_to=lpo:sil=8000:random_seed=3822273132:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 33.59/5.79 % (2676248)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=904780204:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 33.59/5.79 % (2676239)------------------------------
% 33.59/5.79 % (2676239)------------------------------
% 33.59/5.79 % (2676247)Instruction limit reached!
% 33.59/5.79 % (2676247)------------------------------
% 33.59/5.79 % (2676247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.59/5.79 % (2676247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.79 % (2676247)CaDiCaL version: 2.1.3
% 33.59/5.79 % (2676247)Termination reason: Instruction limit
% 33.59/5.79 % (2676247)Termination phase: Saturation
% 33.59/5.79 % (2676247)Time elapsed: 0.068 s
% 33.59/5.79 % (2676247)Peak memory usage: 88 MB
% 33.59/5.79 % (2676247)Instructions burned: 127 (million)
% 33.59/5.79 % (2676242)------------------------------
% 33.59/5.79 % (2676242)------------------------------
% 33.59/5.79 % (2676248)Instruction limit reached!
% 33.59/5.79 % (2676248)------------------------------
% 33.59/5.79 % (2676248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.59/5.79 % (2676248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.79 % (2676248)CaDiCaL version: 2.1.3
% 33.59/5.79 % (2676248)Termination reason: Instruction limit
% 33.59/5.79 % (2676248)Termination phase: Saturation
% 33.59/5.79 % (2676248)Time elapsed: 0.185 s
% 33.59/5.79 % (2676248)Peak memory usage: 90 MB
% 33.59/5.79 % (2676248)Instructions burned: 195 (million)
% 33.59/5.79 % (2676251)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=385914330:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 33.59/5.79 % (2676252)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=377989900:i=3394:sd=4:ss=included:sgt=64_2991 on theBenchmark for (2991ds/3394Mi)
% 33.59/5.79 % (2676251)Instruction limit reached!
% 33.59/5.79 % (2676251)------------------------------
% 33.59/5.79 % (2676251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.59/5.79 % (2676251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.59/5.79 % (2676251)CaDiCaL version: 2.1.3
% 33.59/5.79 % (2676251)Termination reason: Instruction limit
% 33.59/5.79 % (2676251)Termination phase: Saturation
% 33.59/5.79 % (2676251)Time elapsed: 0.087 s
% 33.59/5.79 % (2676251)Peak memory usage: 90 MB
% 33.59/5.79 % (2676251)Instructions burned: 158 (million)
% 33.59/5.79 % (2676253)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2207175842:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 33.59/5.79 % (2676254)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=328375822:i=107_2990 on theBenchmark for (2990ds/107Mi)
% 46.93/7.63 % (2676254)Refutation not found, incomplete strategy
% 46.93/7.63 % (2676254)------------------------------
% 46.93/7.63 % (2676254)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676254)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676254)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676254)Termination reason: Refutation not found, incomplete strategy
% 46.93/7.63 % (2676254)Time elapsed: 0.002 s
% 46.93/7.63 % (2676254)Peak memory usage: 87 MB
% 46.93/7.63 % (2676253)Instruction limit reached!
% 46.93/7.63 % (2676253)------------------------------
% 46.93/7.63 % (2676253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676253)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676253)Termination reason: Instruction limit
% 46.93/7.63 % (2676253)Termination phase: Saturation
% 46.93/7.63 % (2676253)Time elapsed: 0.114 s
% 46.93/7.63 % (2676253)Peak memory usage: 89 MB
% 46.93/7.63 % (2676253)Instructions burned: 106 (million)
% 46.93/7.63 % (2676257)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=469950435:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2989 on theBenchmark for (2989ds/242Mi)
% 46.93/7.63 % (2676257)Instruction limit reached!
% 46.93/7.63 % (2676257)------------------------------
% 46.93/7.63 % (2676257)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676257)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676257)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676257)Termination reason: Instruction limit
% 46.93/7.63 % (2676257)Termination phase: Saturation
% 46.93/7.63 % (2676257)Time elapsed: 0.136 s
% 46.93/7.63 % (2676257)Peak memory usage: 90 MB
% 46.93/7.63 % (2676257)Instructions burned: 244 (million)
% 46.93/7.63 % (2676261)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2197640533:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 46.93/7.63 % (2676262)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1836379362:i=134:sd=2:doe=on:ss=axioms:sgt=14_2986 on theBenchmark for (2986ds/134Mi)
% 46.93/7.63 % (2676254)------------------------------
% 46.93/7.63 % (2676254)------------------------------
% 46.93/7.63 % (2676262)Instruction limit reached!
% 46.93/7.63 % (2676262)------------------------------
% 46.93/7.63 % (2676262)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676262)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676262)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676262)Termination reason: Instruction limit
% 46.93/7.63 % (2676262)Termination phase: Saturation
% 46.93/7.63 % (2676262)Time elapsed: 0.070 s
% 46.93/7.63 % (2676262)Peak memory usage: 89 MB
% 46.93/7.63 % (2676262)Instructions burned: 136 (million)
% 46.93/7.63 % (2676266)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=281018753:i=499:bd=all_2984 on theBenchmark for (2984ds/499Mi)
% 46.93/7.63 % (2676268)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3189813308:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 46.93/7.63 % (2676268)Instruction limit reached!
% 46.93/7.63 % (2676268)------------------------------
% 46.93/7.63 % (2676268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676268)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676268)Termination reason: Instruction limit
% 46.93/7.63 % (2676268)Termination phase: Saturation
% 46.93/7.63 % (2676268)Time elapsed: 0.151 s
% 46.93/7.63 % (2676268)Peak memory usage: 91 MB
% 46.93/7.63 % (2676268)Instructions burned: 191 (million)
% 46.93/7.63 % (2676266)Instruction limit reached!
% 46.93/7.63 % (2676266)------------------------------
% 46.93/7.63 % (2676266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.93/7.63 % (2676266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.93/7.63 % (2676266)CaDiCaL version: 2.1.3
% 46.93/7.63 % (2676266)Termination reason: Instruction limit
% 46.93/7.63 % (2676266)Termination phase: Saturation
% 46.93/7.63 % (2676266)Time elapsed: 0.283 s
% 46.93/7.63 % (2676266)Peak memory usage: 94 MB
% 46.93/7.63 % (2676266)Instructions burned: 500 (million)
% 49.59/9.36 % (2676271)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1307166178:i=264:kws=precedence:fsr=off_2980 on theBenchmark for (2980ds/264Mi)
% 49.59/9.36 % (2676272)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1696334746:cond=on:i=156:bs=on:gtg=exists_all:er=known_2979 on theBenchmark for (2979ds/156Mi)
% 49.59/9.36 % (2676272)Instruction limit reached!
% 49.59/9.36 % (2676272)------------------------------
% 49.59/9.36 % (2676272)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676272)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676272)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676272)Termination reason: Instruction limit
% 49.59/9.36 % (2676272)Termination phase: Saturation
% 49.59/9.36 % (2676272)Time elapsed: 0.084 s
% 49.59/9.36 % (2676272)Peak memory usage: 89 MB
% 49.59/9.36 % (2676272)Instructions burned: 157 (million)
% 49.59/9.36 % (2676271)Instruction limit reached!
% 49.59/9.36 % (2676271)------------------------------
% 49.59/9.36 % (2676271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676271)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676271)Termination reason: Instruction limit
% 49.59/9.36 % (2676271)Termination phase: Saturation
% 49.59/9.36 % (2676271)Time elapsed: 0.263 s
% 49.59/9.36 % (2676271)Peak memory usage: 91 MB
% 49.59/9.36 % (2676271)Instructions burned: 264 (million)
% 49.59/9.36 % (2676275)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=2368627656:i=3256:kws=precedence:bd=preordered:av=off_2977 on theBenchmark for (2977ds/3256Mi)
% 49.59/9.36 % (2676276)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2490423154:i=537:av=off:ss=included_2976 on theBenchmark for (2976ds/537Mi)
% 49.59/9.36 % (2676276)Instruction limit reached!
% 49.59/9.36 % (2676276)------------------------------
% 49.59/9.36 % (2676276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676276)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676276)Termination reason: Instruction limit
% 49.59/9.36 % (2676276)Termination phase: Saturation
% 49.59/9.36 % (2676276)Time elapsed: 0.486 s
% 49.59/9.36 % (2676276)Peak memory usage: 95 MB
% 49.59/9.36 % (2676276)Instructions burned: 537 (million)
% 49.59/9.36 % (2676279)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2366588662:i=180:bd=preordered:av=off_2969 on theBenchmark for (2969ds/180Mi)
% 49.59/9.36 % (2676279)Instruction limit reached!
% 49.59/9.36 % (2676279)------------------------------
% 49.59/9.36 % (2676279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676279)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676279)Termination reason: Instruction limit
% 49.59/9.36 % (2676279)Termination phase: Saturation
% 49.59/9.36 % (2676279)Time elapsed: 0.167 s
% 49.59/9.36 % (2676279)Peak memory usage: 88 MB
% 49.59/9.36 % (2676279)Instructions burned: 180 (million)
% 49.59/9.36 % (2676281)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=2119509681:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2965 on theBenchmark for (2965ds/10307Mi)
% 49.59/9.36 % (2676252)Instruction limit reached!
% 49.59/9.36 % (2676252)------------------------------
% 49.59/9.36 % (2676252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676252)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676252)Termination reason: Instruction limit
% 49.59/9.36 % (2676252)Termination phase: Saturation
% 49.59/9.36 % (2676252)Time elapsed: 3.393 s
% 49.59/9.36 % (2676252)Peak memory usage: 151 MB
% 49.59/9.36 % (2676252)Instructions burned: 3395 (million)
% 49.59/9.36 % (2676283)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2035319369:i=412:gtgl=4:gtg=exists_all_2955 on theBenchmark for (2955ds/412Mi)
% 49.59/9.36 % (2676261)Instruction limit reached!
% 49.59/9.36 % (2676261)------------------------------
% 49.59/9.36 % (2676261)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676261)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676261)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676261)Termination reason: Instruction limit
% 49.59/9.36 % (2676261)Termination phase: Saturation
% 49.59/9.36 % (2676261)Time elapsed: 3.353 s
% 49.59/9.36 % (2676261)Peak memory usage: 164 MB
% 49.59/9.36 % (2676261)Instructions burned: 5209 (million)
% 49.59/9.36 % (2676287)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=4025235870:s2pl=no:i=8478:s2at=4:nm=6_2951 on theBenchmark for (2951ds/8478Mi)
% 49.59/9.36 % (2676283)Instruction limit reached!
% 49.59/9.36 % (2676283)------------------------------
% 49.59/9.36 % (2676283)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676283)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676283)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676283)Termination reason: Instruction limit
% 49.59/9.36 % (2676283)Termination phase: Saturation
% 49.59/9.36 % (2676283)Time elapsed: 0.401 s
% 49.59/9.36 % (2676283)Peak memory usage: 94 MB
% 49.59/9.36 % (2676283)Instructions burned: 412 (million)
% 49.59/9.36 % (2676289)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=2831284474:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2949 on theBenchmark for (2949ds/303Mi)
% 49.59/9.36 % (2676289)Refutation not found, incomplete strategy
% 49.59/9.36 % (2676289)------------------------------
% 49.59/9.36 % (2676289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676289)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676289)Termination reason: Refutation not found, incomplete strategy
% 49.59/9.36 % (2676289)Time elapsed: 0.003 s
% 49.59/9.36 % (2676289)Peak memory usage: 88 MB
% 49.59/9.36 % (2676289)Instructions burned: 1 (million)
% 49.59/9.36 % (2676289)------------------------------
% 49.59/9.36 % (2676289)------------------------------
% 49.59/9.36 % (2676275)Instruction limit reached!
% 49.59/9.36 % (2676275)------------------------------
% 49.59/9.36 % (2676275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676275)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676275)Termination reason: Instruction limit
% 49.59/9.36 % (2676275)Termination phase: Saturation
% 49.59/9.36 % (2676275)Time elapsed: 3.305 s
% 49.59/9.36 % (2676275)Peak memory usage: 148 MB
% 49.59/9.36 % (2676275)Instructions burned: 3258 (million)
% 49.59/9.36 % (2676291)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2526917113:st=4:i=720:sd=3:fsr=off:ss=axioms_2943 on theBenchmark for (2943ds/720Mi)
% 49.59/9.36 % (2676291)Refutation not found, incomplete strategy
% 49.59/9.36 % (2676291)------------------------------
% 49.59/9.36 % (2676291)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676291)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676291)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676291)Termination reason: Refutation not found, incomplete strategy
% 49.59/9.36 % (2676291)Time elapsed: 0.002 s
% 49.59/9.36 % (2676291)Peak memory usage: 88 MB
% 49.59/9.36 % (2676292)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1337863314:i=598:bs=on:bd=preordered:av=off:ss=axioms_2941 on theBenchmark for (2941ds/598Mi)
% 49.59/9.36 % (2676291)------------------------------
% 49.59/9.36 % (2676291)------------------------------
% 49.59/9.36 % (2676298)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2281588616:i=2989:sd=3:ss=axioms:sgt=60_2937 on theBenchmark for (2937ds/2989Mi)
% 49.59/9.36 % (2676292)Instruction limit reached!
% 49.59/9.36 % (2676292)------------------------------
% 49.59/9.36 % (2676292)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 49.59/9.36 % (2676292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 49.59/9.36 % (2676292)CaDiCaL version: 2.1.3
% 49.59/9.36 % (2676292)Termination reason: Instruction limit
% 49.59/9.36 % (2676292)Termination phase: Saturation
% 49.59/9.36 % (2676292)Time elapsed: 0.572 s
% 49.59/9.36 % (2676292)Peak memory usage: 94 MB
% 49.59/9.36 % (2676292)Instructions burned: 598 (million)
% 49.59/9.36 % (2676303)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1874625072:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2933 on theBenchmark for (2933ds/1997Mi)
% 49.59/9.36 % (2676227)First to succeed.
% 49.59/9.36 % (2676227)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2676212"
% 49.59/9.36 % (2676227)Refutation found. Thanks to Tanya!
% 49.59/9.36 % SZS status Unsatisfiable for theBenchmark
% 49.59/9.36 % SZS output start Proof for theBenchmark
% See solution above
% 58.26/9.66 % (2676227)------------------------------
% 58.26/9.66 % (2676227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 58.26/9.66 % (2676227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 58.26/9.66 % (2676227)CaDiCaL version: 2.1.3
% 58.26/9.66 % (2676227)Termination reason: Refutation
% 58.26/9.66 % (2676227)Time elapsed: 7.372 s
% 58.26/9.66 % (2676227)Peak memory usage: 175 MB
% 58.26/9.66 % (2676227)Instructions burned: 7084 (million)
% 58.26/9.66 % (2676227)------------------------------
% 58.26/9.66 % (2676227)------------------------------
% 58.26/9.66 % (2676212)Success in time 8.371 s
% 58.26/9.66 % Vampire exiting
%------------------------------------------------------------------------------