%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT212-1 : 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 : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:16 AM UTC 2026
% Result : Unsatisfiable 34.46s 5.89s
% Output : Refutation 35.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 80
% Number of leaves : 17
% Syntax : Number of formulae : 284 ( 276 unt; 5 def)
% Number of atoms : 296 ( 295 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 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 : 565 ( 565 !; 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,
! [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,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X1,join(X0,X2)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H70) ).
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(f34,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f35,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f34,f4]) ).
fof(f39,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f35,f5]) ).
fof(f43,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f7,f3]) ).
fof(f44,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f34]) ).
fof(f46,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f49,plain,
! [X0] : meet(b,meet(a,X0)) = meet(sF2,X0),
inference(superposition,[],[f7,f25]) ).
fof(f50,plain,
! [X0] : meet(c,meet(a,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f26]) ).
fof(f58,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f64,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f80,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f32,f3]) ).
fof(f81,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f32,f34]) ).
fof(f92,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f81,f6]) ).
fof(f93,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f80,f6]) ).
fof(f96,plain,
sF3 = meet(sF3,sF4),
inference(superposition,[],[f34,f23]) ).
fof(f97,plain,
sF2 = meet(sF2,sF4),
inference(superposition,[],[f3,f23]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f112,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f32]) ).
fof(f134,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X0,join(X2,X3)))) = meet(X1,join(X2,meet(X0,join(X3,meet(X2,join(X0,X1)))))),
inference(superposition,[],[f12,f6]) ).
fof(f178,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f179,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f182,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f188,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f189,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f195,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f188]) ).
fof(f218,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f32,f195]) ).
fof(f221,plain,
one = complement(zero),
inference(superposition,[],[f9,f195]) ).
fof(f264,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f32,f178]) ).
fof(f267,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f178]) ).
fof(f270,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f179,f264]) ).
fof(f283,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f34,f267]) ).
fof(f285,plain,
! [X2,X0,X1] : meet(X2,join(X1,meet(one,join(X1,X0)))) = meet(X2,join(X1,join(X0,meet(X1,join(X2,one))))),
inference(superposition,[],[f12,f267]) ).
fof(f286,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(X1,join(X2,meet(X0,join(one,X1))))),
inference(superposition,[],[f12,f267]) ).
fof(f288,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(X1,join(X2,meet(X0,one)))),
inference(forward_demodulation,[],[f286,f264]) ).
fof(f289,plain,
! [X2,X0,X1] : meet(X2,join(X1,join(X0,meet(X1,join(X2,one))))) = meet(X2,join(X1,join(X1,X0))),
inference(forward_demodulation,[],[f285,f267]) ).
fof(f292,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X2,X0))) = meet(one,join(X0,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f288,f178]) ).
fof(f293,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X1,join(X0,meet(X1,join(X2,one))))),
inference(forward_demodulation,[],[f289,f93]) ).
fof(f295,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f292,f267]) ).
fof(f296,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X1,join(X0,meet(X1,one)))),
inference(forward_demodulation,[],[f293,f283]) ).
fof(f298,plain,
! [X2,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,join(X1,join(X0,X1))),
inference(forward_demodulation,[],[f296,f178]) ).
fof(f299,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f298,f92]) ).
fof(f355,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,join(X1,X2))) = meet(X3,join(X2,join(X0,X1))),
inference(superposition,[],[f299,f8]) ).
fof(f384,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),X0),
inference(superposition,[],[f5,f299]) ).
fof(f524,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f111,f6]) ).
fof(f626,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f44,f4]) ).
fof(f638,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f44,f5]) ).
fof(f648,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X1,X0))),
inference(superposition,[],[f44,f10]) ).
fof(f667,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f648,f218]) ).
fof(f681,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f626,f58]) ).
fof(f688,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f681,f7]) ).
fof(f849,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(X0,join(X1,meet(X0,join(X2,meet(X1,X0))))),
inference(superposition,[],[f12,f2]) ).
fof(f864,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,X1))))),
inference(superposition,[],[f849,f5]) ).
fof(f876,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),join(X0,X1)))) = meet(complement(X0),join(X0,meet(complement(X0),join(X1,zero)))),
inference(superposition,[],[f849,f10]) ).
fof(f951,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),join(X0,X1)))) = meet(complement(X0),join(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[],[f876,f188]) ).
fof(f1029,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),join(X0,X1))),X2)) = meet(meet(complement(X0),join(X0,meet(complement(X0),X1))),X2),
inference(superposition,[],[f7,f951]) ).
fof(f1036,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),join(X0,X1))),X2)) = meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),X2)),
inference(forward_demodulation,[],[f1029,f7]) ).
fof(f1091,plain,
! [X0,X1] : one = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f182,f6]) ).
fof(f1237,plain,
! [X2,X3,X0,X1] : meet(meet(X0,X1),meet(X3,X2)) = meet(X3,meet(X0,meet(X1,X2))),
inference(superposition,[],[f58,f58]) ).
fof(f1288,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),join(X0,X1))),X2)) = meet(X2,meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(superposition,[],[f58,f951]) ).
fof(f1332,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,meet(X2,X3))) = meet(X2,meet(X3,meet(X0,X1))),
inference(superposition,[],[f7,f58]) ).
fof(f1389,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,meet(X1,X2))) = meet(X0,meet(X1,meet(X3,X2))),
inference(forward_demodulation,[],[f1237,f7]) ).
fof(f1798,plain,
! [X2,X0,X1] : meet(complement(X0),join(X1,meet(X0,join(X1,X2)))) = meet(complement(X0),join(X1,meet(X0,join(X2,meet(X1,one))))),
inference(superposition,[],[f134,f9]) ).
fof(f1922,plain,
! [X2,X0,X1] : meet(complement(X0),join(X1,meet(X0,join(X1,X2)))) = meet(complement(X0),join(X1,meet(X0,join(X2,X1)))),
inference(forward_demodulation,[],[f1798,f178]) ).
fof(f2672,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f112,f6]) ).
fof(f3231,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(meet(complement(X0),join(X0,X1)),meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(superposition,[],[f638,f951]) ).
fof(f3300,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(join(X0,meet(complement(X0),X1)),meet(meet(complement(X0),join(X0,X1)),complement(X0))),
inference(forward_demodulation,[],[f3231,f58]) ).
fof(f3329,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f3300,f58]) ).
fof(f3342,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(complement(X0),meet(join(X0,X1),meet(complement(X0),join(X0,meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f3329,f1332]) ).
fof(f3351,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(complement(X0),meet(complement(X0),meet(join(X0,X1),join(X0,meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f3342,f1389]) ).
fof(f3355,plain,
! [X0,X1] : meet(meet(complement(X0),join(X0,X1)),complement(X0)) = meet(complement(X0),meet(join(X0,X1),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f3351,f39]) ).
fof(f3359,plain,
! [X0,X1] : meet(complement(X0),meet(complement(X0),join(X0,X1))) = meet(complement(X0),meet(join(X0,X1),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f3355,f5]) ).
fof(f3361,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),meet(join(X0,X1),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f3359,f39]) ).
fof(f3921,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(superposition,[],[f11,f270]) ).
fof(f3945,plain,
! [X0,X1] :
( zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(trivial_inequality_removal,[],[f3921]) ).
fof(f5079,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f64,f9]) ).
fof(f5098,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f5079]) ).
fof(f5111,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f5098,f5]) ).
fof(f5127,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f5111,f10]) ).
fof(f6017,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,meet(X2,X0)),join(X0,X1)),
inference(superposition,[],[f34,f2672]) ).
fof(f6066,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,X0),join(X1,meet(X2,X0))),
inference(forward_demodulation,[],[f6017,f384]) ).
fof(f6116,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X0,meet(complement(X0),X1))),
inference(backward_demodulation,[],[f3361,f6066]) ).
fof(f6146,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),join(X0,X1))),X2)) = meet(X2,meet(complement(X0),join(X0,X1))),
inference(backward_demodulation,[],[f1288,f6116]) ).
fof(f6187,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),X2)) = meet(X2,meet(complement(X0),join(X0,X1))),
inference(backward_demodulation,[],[f1036,f6146]) ).
fof(f6685,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(superposition,[],[f6116,f5127]) ).
fof(f6743,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),X2)) = meet(meet(complement(X0),join(X0,X1)),X2),
inference(superposition,[],[f7,f6116]) ).
fof(f6770,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),X2)) = meet(complement(X0),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f6743,f7]) ).
fof(f6902,plain,
! [X0,X1] : meet(X1,join(complement(X1),X0)) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f6685,f5]) ).
fof(f6907,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f6685,f189]) ).
fof(f6934,plain,
! [X0,X1] : meet(complement(X0),join(complement(complement(X0)),join(X0,meet(complement(X0),X1)))) = meet(complement(X0),join(complement(complement(X0)),meet(complement(X0),join(X0,X1)))),
inference(superposition,[],[f6685,f6116]) ).
fof(f7056,plain,
! [X0,X1] : meet(complement(X0),join(complement(complement(X0)),join(X0,meet(complement(X0),X1)))) = meet(complement(X0),join(complement(complement(X0)),join(X0,X1))),
inference(forward_demodulation,[],[f6934,f6685]) ).
fof(f7081,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f6907,f299]) ).
fof(f7119,plain,
! [X0,X1] : meet(complement(X0),join(complement(complement(X0)),join(X0,meet(complement(X0),X1)))) = meet(complement(X0),join(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[],[f7056,f355]) ).
fof(f7134,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7081,f195]) ).
fof(f7145,plain,
! [X0,X1] : meet(complement(X0),join(X0,join(X1,X0))) = meet(complement(X0),join(X0,join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f7119,f5127]) ).
fof(f7153,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7134,f10]) ).
fof(f7158,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),X1))) = meet(complement(X0),join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f7145,f93]) ).
fof(f7162,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X0,meet(complement(X0),X1))),
inference(forward_demodulation,[],[f7158,f92]) ).
fof(f7233,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))) ),
inference(superposition,[],[f3945,f7153]) ).
fof(f7270,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(trivial_inequality_removal,[],[f7233]) ).
fof(f7469,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(join(X1,X0)),complement(zero))),
inference(superposition,[],[f7270,f667]) ).
fof(f7509,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(meet(X1,complement(meet(X0,X1))),complement(X0)),
inference(superposition,[],[f34,f7270]) ).
fof(f7511,plain,
! [X2,X0,X1] : meet(meet(X1,complement(meet(X0,X1))),X2) = meet(meet(X1,complement(meet(X0,X1))),meet(complement(X0),X2)),
inference(superposition,[],[f44,f7270]) ).
fof(f7541,plain,
! [X2,X0,X1] : meet(meet(X1,complement(meet(X0,X1))),X2) = meet(complement(X0),meet(X2,meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7511,f58]) ).
fof(f7542,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f7509,f5]) ).
fof(f7575,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(zero),complement(join(X1,X0)))),
inference(forward_demodulation,[],[f7469,f5]) ).
fof(f7610,plain,
! [X2,X0,X1] : meet(X1,meet(complement(meet(X0,X1)),X2)) = meet(complement(X0),meet(X2,meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7541,f7]) ).
fof(f7625,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(one,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f7575,f221]) ).
fof(f7646,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f7625,f267]) ).
fof(f7837,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f7646,f32]) ).
fof(f7879,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f34,f7646]) ).
fof(f7908,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f7879,f5]) ).
fof(f7932,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f7837,f6]) ).
fof(f7961,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(X1,complement(X0)))),
inference(superposition,[],[f7908,f5127]) ).
fof(f7966,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f7908,f4]) ).
fof(f8017,plain,
! [X2,X0,X1] : join(complement(X1),X2) = join(complement(X1),join(X2,complement(join(X0,X1)))),
inference(superposition,[],[f524,f7908]) ).
fof(f8056,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f7966,f5]) ).
fof(f8149,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(meet(X0,X1)),meet(complement(X0),X2)),
inference(superposition,[],[f46,f8056]) ).
fof(f8173,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(X0),meet(X2,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f8149,f58]) ).
fof(f8193,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f7542,f8173]) ).
fof(f8207,plain,
! [X2,X0,X1] : meet(X1,meet(complement(meet(X0,X1)),X2)) = meet(complement(X0),meet(X2,meet(complement(X0),X1))),
inference(backward_demodulation,[],[f7610,f8193]) ).
fof(f8251,plain,
! [X2,X0,X1] : meet(X1,meet(complement(meet(X0,X1)),X2)) = meet(complement(X0),meet(X1,X2)),
inference(forward_demodulation,[],[f8207,f688]) ).
fof(f8314,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(X0,complement(meet(X0,X1))),
inference(superposition,[],[f8193,f5]) ).
fof(f8322,plain,
! [X2,X0,X1] : meet(meet(join(X0,X2),X1),complement(meet(X0,X1))) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(superposition,[],[f8193,f43]) ).
fof(f8347,plain,
! [X2,X0,X1] : meet(join(X1,meet(X0,join(X1,X2))),complement(meet(complement(X0),join(X1,meet(X0,join(X2,X1)))))) = meet(complement(complement(X0)),join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f8193,f1922]) ).
fof(f8393,plain,
! [X0,X1] : meet(X1,join(complement(X1),complement(meet(X0,X1)))) = meet(X1,join(complement(X1),meet(complement(X0),X1))),
inference(superposition,[],[f6685,f8193]) ).
fof(f8421,plain,
! [X0,X1] : meet(X1,join(complement(X1),complement(meet(X0,X1)))) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f8393,f6902]) ).
fof(f8446,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(join(X1,meet(X0,join(X1,X2))),complement(meet(complement(X0),join(X1,meet(X0,join(X2,X1)))))),
inference(forward_demodulation,[],[f8347,f5127]) ).
fof(f8480,plain,
! [X2,X0,X1] : meet(complement(meet(X0,X1)),meet(join(X0,X2),X1)) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f8322,f5]) ).
fof(f8506,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f8421,f7932]) ).
fof(f8546,plain,
! [X2,X0,X1] : meet(X1,meet(complement(meet(X0,X1)),join(X0,X2))) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f8480,f58]) ).
fof(f8563,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f8506,f8193]) ).
fof(f8587,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(complement(X0),meet(join(X0,X2),X1)),
inference(forward_demodulation,[],[f8546,f8251]) ).
fof(f8966,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),X0)),
inference(superposition,[],[f8563,f5127]) ).
fof(f9228,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(X0)),
inference(superposition,[],[f8966,f5127]) ).
fof(f9248,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),X1)) = meet(join(meet(complement(X0),X2),X1),X0),
inference(superposition,[],[f8966,f111]) ).
fof(f9314,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(join(complement(X1),X0)),X1),
inference(superposition,[],[f8314,f8966]) ).
fof(f9349,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f9314,f5]) ).
fof(f9400,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(meet(complement(X0),X2),X1)),
inference(forward_demodulation,[],[f9248,f5]) ).
fof(f9418,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,meet(complement(X0),X1)),X2)) = meet(X2,meet(X1,complement(X0))),
inference(backward_demodulation,[],[f6187,f9228]) ).
fof(f9435,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(meet(complement(X0),X1),complement(X0)),
inference(backward_demodulation,[],[f7162,f9228]) ).
fof(f9468,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f9349,f8193]) ).
fof(f9511,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,join(meet(complement(X0),X2),X1)),
inference(forward_demodulation,[],[f9400,f8966]) ).
fof(f9536,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),meet(complement(X0),X1)),
inference(forward_demodulation,[],[f9435,f5]) ).
fof(f9543,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),X2)) = meet(X2,meet(X1,complement(X0))),
inference(backward_demodulation,[],[f6770,f9418]) ).
fof(f9637,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f9536,f39]) ).
fof(f9643,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(X1,meet(X2,complement(X0))),
inference(backward_demodulation,[],[f8587,f9543]) ).
fof(f9783,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(join(X1,meet(X0,X2)),complement(X0)),
inference(superposition,[],[f9228,f524]) ).
fof(f9789,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(join(meet(X0,X2),X1),complement(X0)),
inference(superposition,[],[f9228,f111]) ).
fof(f9797,plain,
! [X2,X0,X1] : meet(complement(join(X0,X1)),join(X0,join(X1,X2))) = meet(X2,complement(join(X0,X1))),
inference(superposition,[],[f9228,f8]) ).
fof(f9827,plain,
! [X0,X1] : join(X1,meet(complement(X1),join(X0,X1))) = join(X1,meet(X0,complement(X1))),
inference(superposition,[],[f295,f9228]) ).
fof(f9862,plain,
! [X0,X1] : meet(complement(complement(X1)),join(X1,X0)) = meet(join(X1,X0),complement(meet(X0,complement(X1)))),
inference(superposition,[],[f8193,f9228]) ).
fof(f9865,plain,
! [X0,X1] : meet(X1,join(X1,X0)) = meet(join(X1,X0),complement(meet(X0,complement(X1)))),
inference(forward_demodulation,[],[f9862,f5127]) ).
fof(f9889,plain,
! [X0,X1] : join(X1,meet(complement(X1),X0)) = join(X1,meet(X0,complement(X1))),
inference(forward_demodulation,[],[f9827,f9637]) ).
fof(f9918,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f9789,f5]) ).
fof(f9924,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f9783,f5]) ).
fof(f9931,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f9865,f3]) ).
fof(f9974,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f9918,f9228]) ).
fof(f9980,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(X1,meet(X0,X2))),
inference(forward_demodulation,[],[f9924,f9228]) ).
fof(f10031,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(join(X1,meet(X0,join(X1,X2))),complement(meet(X1,complement(X0)))),
inference(backward_demodulation,[],[f8446,f9980]) ).
fof(f10106,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(complement(meet(X1,complement(X0))),join(X1,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f10031,f5]) ).
fof(f10213,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(X0))),
inference(superposition,[],[f9637,f5127]) ).
fof(f10231,plain,
! [X0,X1] : meet(complement(join(complement(X0),X1)),X0) = meet(complement(join(complement(X0),X1)),one),
inference(superposition,[],[f9637,f270]) ).
fof(f10278,plain,
! [X0,X1] : meet(complement(complement(X0)),join(X1,X0)) = meet(join(X1,X0),complement(meet(complement(X0),X1))),
inference(superposition,[],[f8193,f9637]) ).
fof(f10281,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(join(X1,X0),complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f10278,f5127]) ).
fof(f10309,plain,
! [X0,X1] : meet(one,complement(join(complement(X0),X1))) = meet(complement(join(complement(X0),X1)),X0),
inference(forward_demodulation,[],[f10231,f5]) ).
fof(f10324,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f10281,f34]) ).
fof(f10337,plain,
! [X0,X1] : meet(one,complement(join(complement(X0),X1))) = meet(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f10309,f5]) ).
fof(f10357,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(one,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f10337,f9468]) ).
fof(f10369,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[],[f10357,f267]) ).
fof(f10400,plain,
! [X0,X1] : join(complement(X0),meet(X0,join(complement(X0),X1))) = join(complement(X0),meet(X0,X1)),
inference(superposition,[],[f295,f10213]) ).
fof(f10424,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(join(X1,complement(X0))),X0),
inference(superposition,[],[f8314,f10213]) ).
fof(f10448,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f10424,f5]) ).
fof(f10461,plain,
! [X0,X1] : join(complement(X0),meet(X1,X0)) = join(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[],[f10400,f8966]) ).
fof(f10485,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f10448,f7961]) ).
fof(f10504,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f10485,f8314]) ).
fof(f10808,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(meet(complement(X1),X2),join(X1,X3)))) = meet(X0,join(X1,meet(meet(complement(X1),X2),join(X3,meet(X0,X1))))),
inference(superposition,[],[f134,f9511]) ).
fof(f10888,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(meet(complement(X1),X2),join(X1,X3)))) = meet(X0,join(X1,meet(complement(X1),meet(X2,join(X3,meet(X0,X1)))))),
inference(forward_demodulation,[],[f10808,f7]) ).
fof(f10946,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(complement(X1),meet(X2,join(X3,meet(X0,X1)))))) = meet(X0,join(X1,meet(complement(X1),meet(X2,join(X1,X3))))),
inference(forward_demodulation,[],[f10888,f7]) ).
fof(f10989,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(complement(X1),meet(X2,join(X3,meet(X0,X1)))))) = meet(X0,join(X1,meet(X2,meet(X3,complement(X1))))),
inference(forward_demodulation,[],[f10946,f9643]) ).
fof(f11087,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f5127,f10369]) ).
fof(f11114,plain,
! [X0,X1] : meet(join(X1,X0),join(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f10324,f11087]) ).
fof(f11451,plain,
! [X2,X0,X1] : meet(join(X0,X1),complement(meet(join(meet(X0,X2),X1),complement(X0)))) = X0,
inference(superposition,[],[f9931,f111]) ).
fof(f11495,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(complement(meet(X1,complement(X0))),X0),
inference(superposition,[],[f32,f9931]) ).
fof(f11525,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(X0,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f11495,f6]) ).
fof(f11554,plain,
! [X2,X0,X1] : meet(join(X0,X1),complement(meet(complement(X0),join(meet(X0,X2),X1)))) = X0,
inference(forward_demodulation,[],[f11451,f5]) ).
fof(f11593,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(complement(join(meet(X0,X2),X1)),X0)) = X0,
inference(forward_demodulation,[],[f11554,f11087]) ).
fof(f11625,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,complement(join(meet(X0,X2),X1)))) = X0,
inference(forward_demodulation,[],[f11593,f299]) ).
fof(f11670,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(join(X0,meet(X1,join(X0,X2))),join(complement(X0),meet(X1,join(X2,X0)))),
inference(superposition,[],[f11114,f295]) ).
fof(f11678,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = meet(one,join(complement(X0),join(X1,complement(join(X1,X0))))),
inference(superposition,[],[f11114,f1091]) ).
fof(f11723,plain,
! [X0,X1] : join(X1,complement(join(X1,complement(X0)))) = meet(join(X0,join(X1,complement(join(X1,complement(X0))))),one),
inference(superposition,[],[f11114,f1091]) ).
fof(f11798,plain,
! [X0,X1] : join(X1,complement(join(X1,complement(X0)))) = meet(one,join(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[],[f11723,f5]) ).
fof(f11832,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = join(complement(X0),join(X1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f11678,f267]) ).
fof(f11857,plain,
! [X0,X1] : join(X1,complement(join(X1,complement(X0)))) = join(X0,join(X1,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f11798,f267]) ).
fof(f11875,plain,
! [X0,X1] : join(complement(X0),X1) = join(X1,complement(join(X1,X0))),
inference(forward_demodulation,[],[f11832,f8017]) ).
fof(f11890,plain,
! [X0,X1] : join(X1,meet(complement(X1),X0)) = join(X0,join(X1,meet(complement(X1),X0))),
inference(forward_demodulation,[],[f11857,f10504]) ).
fof(f11918,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(complement(X1),X0)),
inference(forward_demodulation,[],[f11890,f2672]) ).
fof(f11938,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(X0,complement(X1))),
inference(backward_demodulation,[],[f9889,f11918]) ).
fof(f11941,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,meet(X3,complement(X1))))) = meet(X0,join(meet(X2,join(X3,meet(X0,X1))),X1)),
inference(backward_demodulation,[],[f10989,f11918]) ).
fof(f11950,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,meet(X3,complement(X1))))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))),
inference(forward_demodulation,[],[f11941,f299]) ).
fof(f11959,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,join(X1,X2)))) = meet(X0,join(X1,meet(X0,meet(X2,complement(X1))))),
inference(backward_demodulation,[],[f864,f11950]) ).
fof(f11969,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),X1),
inference(superposition,[],[f11875,f6]) ).
fof(f12043,plain,
! [X2,X0,X1] : join(X1,complement(join(meet(X1,X2),X0))) = join(X1,join(complement(X0),meet(X1,X2))),
inference(superposition,[],[f111,f11875]) ).
fof(f12063,plain,
! [X2,X0,X1] : join(X1,complement(X0)) = join(X1,complement(join(meet(X1,X2),X0))),
inference(forward_demodulation,[],[f12043,f524]) ).
fof(f12140,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(X1))) = X0,
inference(backward_demodulation,[],[f11625,f12063]) ).
fof(f12272,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),meet(X1,X0)),
inference(superposition,[],[f11938,f5127]) ).
fof(f12284,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = join(X2,meet(X0,meet(X1,complement(X2)))),
inference(superposition,[],[f11938,f7]) ).
fof(f12324,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(meet(X0,complement(X1))),X1),
inference(superposition,[],[f11875,f11938]) ).
fof(f12346,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(meet(X0,complement(X1)))),
inference(forward_demodulation,[],[f12324,f6]) ).
fof(f12376,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = meet(X0,join(X1,meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f11959,f12284]) ).
fof(f12391,plain,
! [X0,X1] : join(X1,complement(X0)) = join(complement(X0),meet(X0,X1)),
inference(backward_demodulation,[],[f10461,f12272]) ).
fof(f12409,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = complement(meet(X0,complement(X1))),
inference(forward_demodulation,[],[f12346,f11525]) ).
fof(f12455,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = meet(complement(meet(X1,complement(X0))),join(X1,meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f10106,f12376]) ).
fof(f12521,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(forward_demodulation,[],[f12409,f11969]) ).
fof(f12597,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = meet(join(complement(X1),X0),join(X1,meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f12455,f12521]) ).
fof(f12902,plain,
! [X2,X0,X1] : join(complement(X0),meet(X0,X1)) = join(meet(X1,join(X2,X0)),complement(X0)),
inference(superposition,[],[f12391,f638]) ).
fof(f13066,plain,
! [X2,X0,X1] : join(complement(X0),meet(X0,X1)) = join(complement(X0),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f12902,f6]) ).
fof(f13128,plain,
! [X2,X0,X1] : join(X1,complement(X0)) = join(complement(X0),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f13066,f12391]) ).
fof(f13168,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(join(X0,meet(X1,join(X0,X2))),join(X1,complement(X0))),
inference(backward_demodulation,[],[f11670,f13128]) ).
fof(f13188,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(join(complement(X0),X1),join(X0,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f13168,f384]) ).
fof(f13195,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(meet(X0,X2),X1)),
inference(backward_demodulation,[],[f12597,f13188]) ).
fof(f13239,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(meet(X0,X1),X2)),
inference(superposition,[],[f13195,f5]) ).
fof(f17397,plain,
! [X2,X0,X1] : meet(X1,complement(join(X0,X2))) = meet(complement(join(X0,X2)),join(X0,X1)),
inference(superposition,[],[f9974,f12140]) ).
fof(f17533,plain,
! [X2,X0,X1] : meet(X2,complement(join(X0,X1))) = meet(join(X1,X2),complement(join(X0,X1))),
inference(backward_demodulation,[],[f9797,f17397]) ).
fof(f18575,plain,
! [X0] : meet(a,join(b,X0)) = meet(a,join(sF2,X0)),
inference(superposition,[],[f13239,f25]) ).
fof(f18581,plain,
! [X0] : meet(a,join(c,X0)) = meet(a,join(sF3,X0)),
inference(superposition,[],[f13239,f26]) ).
fof(f20689,plain,
meet(a,join(b,sF3)) = meet(a,sF4),
inference(superposition,[],[f18575,f23]) ).
fof(f21122,plain,
! [X0] : meet(a,join(c,X0)) = meet(a,join(X0,sF3)),
inference(superposition,[],[f299,f18581]) ).
fof(f21176,plain,
meet(a,sF4) = meet(a,join(c,b)),
inference(backward_demodulation,[],[f20689,f21122]) ).
fof(f21217,plain,
meet(a,join(b,c)) = meet(a,sF4),
inference(forward_demodulation,[],[f21176,f299]) ).
fof(f21241,plain,
meet(a,sF0) = meet(a,sF4),
inference(forward_demodulation,[],[f21217,f15]) ).
fof(f21252,plain,
sF1 = meet(a,sF4),
inference(forward_demodulation,[],[f21241,f17]) ).
fof(f21257,plain,
meet(sF2,sF4) = meet(b,sF1),
inference(superposition,[],[f49,f21252]) ).
fof(f21258,plain,
meet(sF3,sF4) = meet(c,sF1),
inference(superposition,[],[f50,f21252]) ).
fof(f21261,plain,
sF4 = join(sF4,sF1),
inference(superposition,[],[f32,f21252]) ).
fof(f21274,plain,
meet(complement(a),sF4) = meet(sF4,complement(sF1)),
inference(superposition,[],[f8193,f21252]) ).
fof(f21277,plain,
join(a,complement(sF4)) = join(complement(sF4),sF1),
inference(superposition,[],[f12272,f21252]) ).
fof(f21291,plain,
join(a,complement(sF4)) = join(sF1,complement(sF4)),
inference(forward_demodulation,[],[f21277,f6]) ).
fof(f21298,plain,
sF4 = join(sF1,sF4),
inference(forward_demodulation,[],[f21261,f6]) ).
fof(f21299,plain,
sF3 = meet(c,sF1),
inference(forward_demodulation,[],[f21258,f96]) ).
fof(f21300,plain,
sF2 = meet(b,sF1),
inference(forward_demodulation,[],[f21257,f97]) ).
fof(f21653,plain,
sF1 = join(sF1,sF3),
inference(superposition,[],[f32,f21299]) ).
fof(f21708,plain,
zero = meet(sF3,complement(sF1)),
inference(superposition,[],[f667,f21653]) ).
fof(f22828,plain,
join(complement(complement(sF4)),sF1) = join(sF1,complement(join(a,complement(sF4)))),
inference(superposition,[],[f11875,f21291]) ).
fof(f22844,plain,
join(complement(complement(sF4)),sF1) = join(sF1,meet(complement(a),sF4)),
inference(forward_demodulation,[],[f22828,f10504]) ).
fof(f22870,plain,
join(sF1,complement(complement(sF4))) = join(sF1,meet(complement(a),sF4)),
inference(forward_demodulation,[],[f22844,f6]) ).
fof(f22899,plain,
join(sF1,sF4) = join(sF1,meet(complement(a),sF4)),
inference(forward_demodulation,[],[f22870,f5127]) ).
fof(f22911,plain,
sF4 = join(sF1,meet(complement(a),sF4)),
inference(forward_demodulation,[],[f22899,f21298]) ).
fof(f25838,plain,
sF1 = join(sF1,sF2),
inference(superposition,[],[f32,f21300]) ).
fof(f25918,plain,
! [X0] : meet(X0,complement(sF1)) = meet(join(sF2,X0),complement(sF1)),
inference(superposition,[],[f17533,f25838]) ).
fof(f25921,plain,
! [X0] : meet(X0,complement(sF1)) = meet(complement(sF1),join(sF2,X0)),
inference(forward_demodulation,[],[f25918,f5]) ).
fof(f46641,plain,
meet(complement(sF1),sF4) = meet(sF3,complement(sF1)),
inference(superposition,[],[f25921,f23]) ).
fof(f46846,plain,
zero = meet(complement(sF1),sF4),
inference(forward_demodulation,[],[f46641,f21708]) ).
fof(f46917,plain,
zero = meet(sF4,complement(sF1)),
inference(forward_demodulation,[],[f46846,f5]) ).
fof(f46961,plain,
zero = meet(complement(a),sF4),
inference(backward_demodulation,[],[f21274,f46917]) ).
fof(f46990,plain,
sF4 = join(sF1,zero),
inference(backward_demodulation,[],[f22911,f46961]) ).
fof(f47004,plain,
sF4 = join(zero,sF1),
inference(forward_demodulation,[],[f46990,f6]) ).
fof(f47009,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f47004,f195]) ).
fof(f47012,plain,
$false,
inference(forward_subsumption_resolution,[],[f47009,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT212-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.13/0.39 % Computer : n018.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8046.5625MB
% 0.13/0.39 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 14:08:24 UTC 2026
% 0.13/0.40 % CPUTime :
% 0.13/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 Running first-order theorem proving
% 0.18/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.96/3.32 % (2380957)Input is clausal, will run a generic CNF schedule.
% 16.96/3.32 % (2380976)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=3148308316:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 16.96/3.32 % (2380982)dis-21_1_sil=8000:lcm=predicate:random_seed=2575828284: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)
% 16.96/3.32 % (2380982)Refutation not found, incomplete strategy
% 16.96/3.32 % (2380982)------------------------------
% 16.96/3.32 % (2380982)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.32 % (2380982)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.32 % (2380982)CaDiCaL version: 2.1.3
% 16.96/3.32 % (2380982)Termination reason: Refutation not found, incomplete strategy
% 16.96/3.32 % (2380982)Time elapsed: 0.002 s
% 16.96/3.32 % (2380982)Peak memory usage: 88 MB
% 16.96/3.32 % (2380982)Instructions burned: 1 (million)
% 16.96/3.32 % (2380979)lrs+10_1_sil=8000:sp=occurrence:random_seed=3266284160:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 16.96/3.32 % (2380977)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3436102475:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 16.96/3.32 % (2380981)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2732674196:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 16.96/3.32 % (2380980)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2881473528:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 16.96/3.32 % (2380978)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4197672060:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 16.96/3.32 % (2380979)Instruction limit reached!
% 16.96/3.32 % (2380979)------------------------------
% 16.96/3.32 % (2380979)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.32 % (2380979)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.32 % (2380979)CaDiCaL version: 2.1.3
% 16.96/3.32 % (2380979)Termination reason: Instruction limit
% 16.96/3.32 % (2380979)Termination phase: Saturation
% 16.96/3.32 % (2380979)Time elapsed: 0.088 s
% 16.96/3.32 % (2380979)Peak memory usage: 88 MB
% 16.96/3.32 % (2380979)Instructions burned: 108 (million)
% 16.96/3.32 % (2380980)Instruction limit reached!
% 16.96/3.32 % (2380980)------------------------------
% 16.96/3.32 % (2380980)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.32 % (2380980)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.32 % (2380980)CaDiCaL version: 2.1.3
% 16.96/3.32 % (2380980)Termination reason: Instruction limit
% 16.96/3.32 % (2380980)Termination phase: Saturation
% 16.96/3.32 % (2380980)Time elapsed: 0.112 s
% 16.96/3.32 % (2380980)Peak memory usage: 89 MB
% 16.96/3.32 % (2380980)Instructions burned: 115 (million)
% 16.96/3.32 % (2380981)Instruction limit reached!
% 16.96/3.32 % (2380981)------------------------------
% 16.96/3.32 % (2380981)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.32 % (2380981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.32 % (2380981)CaDiCaL version: 2.1.3
% 16.96/3.32 % (2380981)Termination reason: Instruction limit
% 16.96/3.32 % (2380981)Termination phase: Saturation
% 16.96/3.32 % (2380981)Time elapsed: 0.168 s
% 16.96/3.32 % (2380981)Peak memory usage: 89 MB
% 16.96/3.32 % (2380981)Instructions burned: 180 (million)
% 16.96/3.32 % (2380993)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=2977036529:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 16.96/3.32 % (2380993)Refutation not found, incomplete strategy
% 16.96/3.32 % (2380993)------------------------------
% 16.96/3.32 % (2380993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.96/3.32 % (2380993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.96/3.32 % (2380993)CaDiCaL version: 2.1.3
% 16.96/3.32 % (2380993)Termination reason: Refutation not found, incomplete strategy
% 16.96/3.32 % (2380993)Time elapsed: 0.001 s
% 16.96/3.32 % (2380993)Peak memory usage: 88 MB
% 16.96/3.32 % (2380982)------------------------------
% 16.96/3.32 % (2380982)------------------------------
% 26.42/4.77 % (2380996)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3729254238:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 26.42/4.77 % (2380996)Refutation not found, incomplete strategy
% 26.42/4.77 % (2380996)------------------------------
% 26.42/4.77 % (2380996)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.42/4.77 % (2380996)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.42/4.77 % (2380996)CaDiCaL version: 2.1.3
% 26.42/4.77 % (2380996)Termination reason: Refutation not found, incomplete strategy
% 26.42/4.77 % (2380996)Time elapsed: 0.002 s
% 26.42/4.77 % (2380996)Peak memory usage: 88 MB
% 26.42/4.77 % (2380996)Instructions burned: 1 (million)
% 26.42/4.77 % (2380997)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3917308046:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 26.42/4.77 % (2380997)Refutation not found, incomplete strategy
% 26.42/4.77 % (2380997)------------------------------
% 26.42/4.77 % (2380997)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.42/4.77 % (2380997)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.42/4.77 % (2380997)CaDiCaL version: 2.1.3
% 26.42/4.77 % (2380997)Termination reason: Refutation not found, incomplete strategy
% 26.42/4.77 % (2380997)Time elapsed: 0.002 s
% 26.42/4.77 % (2380997)Peak memory usage: 87 MB
% 26.42/4.77 % (2381001)lrs+10_64_to=lpo:sil=8000:random_seed=856189924:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 26.42/4.77 % (2380993)------------------------------
% 26.42/4.77 % (2380993)------------------------------
% 26.42/4.77 % (2381001)Instruction limit reached!
% 26.42/4.77 % (2381001)------------------------------
% 26.42/4.77 % (2381001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.42/4.77 % (2381001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.42/4.77 % (2381001)CaDiCaL version: 2.1.3
% 26.42/4.77 % (2381001)Termination reason: Instruction limit
% 26.42/4.77 % (2381001)Termination phase: Saturation
% 26.42/4.77 % (2381001)Time elapsed: 0.104 s
% 26.42/4.77 % (2381001)Peak memory usage: 88 MB
% 26.42/4.77 % (2381001)Instructions burned: 126 (million)
% 26.42/4.77 % (2381007)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3031545728:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 26.42/4.77 % (2380996)------------------------------
% 26.42/4.77 % (2380996)------------------------------
% 26.42/4.77 % (2381007)Instruction limit reached!
% 26.42/4.77 % (2381007)------------------------------
% 26.42/4.77 % (2381007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.42/4.77 % (2381007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.42/4.77 % (2381007)CaDiCaL version: 2.1.3
% 26.42/4.77 % (2381007)Termination reason: Instruction limit
% 26.42/4.77 % (2381007)Termination phase: Saturation
% 26.42/4.77 % (2381007)Time elapsed: 0.099 s
% 26.42/4.77 % (2381007)Peak memory usage: 90 MB
% 26.42/4.77 % (2381007)Instructions burned: 195 (million)
% 26.42/4.77 % (2381008)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2744748343:i=157:gtg=all_2992 on theBenchmark for (2992ds/157Mi)
% 26.42/4.77 % (2380997)------------------------------
% 26.42/4.77 % (2380997)------------------------------
% 26.42/4.77 % (2381008)Instruction limit reached!
% 26.42/4.77 % (2381008)------------------------------
% 26.42/4.77 % (2381008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 26.42/4.77 % (2381008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 26.42/4.77 % (2381008)CaDiCaL version: 2.1.3
% 26.42/4.77 % (2381008)Termination reason: Instruction limit
% 26.42/4.77 % (2381008)Termination phase: Saturation
% 26.42/4.77 % (2381008)Time elapsed: 0.160 s
% 26.42/4.77 % (2381008)Peak memory usage: 90 MB
% 26.42/4.77 % (2381008)Instructions burned: 158 (million)
% 26.42/4.77 % (2381013)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=1994777869:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 26.42/4.77 % (2381012)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3813195306:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 26.42/4.77 % (2381016)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2459805497:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 34.46/5.89 % (2381016)Refutation not found, incomplete strategy
% 34.46/5.89 % (2381016)------------------------------
% 34.46/5.89 % (2381016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381016)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381016)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.89 % (2381016)Time elapsed: 0.001 s
% 34.46/5.89 % (2381016)Peak memory usage: 87 MB
% 34.46/5.89 % (2381013)Instruction limit reached!
% 34.46/5.89 % (2381013)------------------------------
% 34.46/5.89 % (2381013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381013)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381013)Termination reason: Instruction limit
% 34.46/5.89 % (2381013)Termination phase: Saturation
% 34.46/5.89 % (2381013)Time elapsed: 0.058 s
% 34.46/5.89 % (2381013)Peak memory usage: 89 MB
% 34.46/5.89 % (2381013)Instructions burned: 106 (million)
% 34.46/5.89 % (2381019)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1260760300:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2988 on theBenchmark for (2988ds/242Mi)
% 34.46/5.89 % (2381022)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=638868312:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 34.46/5.89 % (2381016)------------------------------
% 34.46/5.89 % (2381016)------------------------------
% 34.46/5.89 % (2381019)Instruction limit reached!
% 34.46/5.89 % (2381019)------------------------------
% 34.46/5.89 % (2381019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381019)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381019)Termination reason: Instruction limit
% 34.46/5.89 % (2381019)Termination phase: Saturation
% 34.46/5.89 % (2381019)Time elapsed: 0.244 s
% 34.46/5.89 % (2381019)Peak memory usage: 90 MB
% 34.46/5.89 % (2381019)Instructions burned: 242 (million)
% 34.46/5.89 % (2381029)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3695674758:i=134:sd=2:doe=on:ss=axioms:sgt=14_2984 on theBenchmark for (2984ds/134Mi)
% 34.46/5.89 % (2381030)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2069599742:i=499:bd=all_2983 on theBenchmark for (2983ds/499Mi)
% 34.46/5.89 % (2381029)Instruction limit reached!
% 34.46/5.89 % (2381029)------------------------------
% 34.46/5.89 % (2381029)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381029)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381029)Termination reason: Instruction limit
% 34.46/5.89 % (2381029)Termination phase: Saturation
% 34.46/5.89 % (2381029)Time elapsed: 0.131 s
% 34.46/5.89 % (2381029)Peak memory usage: 89 MB
% 34.46/5.89 % (2381029)Instructions burned: 134 (million)
% 34.46/5.89 % (2381034)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1274679772:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 34.46/5.89 % (2381034)Instruction limit reached!
% 34.46/5.89 % (2381034)------------------------------
% 34.46/5.89 % (2381034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381034)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381034)Termination reason: Instruction limit
% 34.46/5.89 % (2381034)Termination phase: Saturation
% 34.46/5.89 % (2381034)Time elapsed: 0.202 s
% 34.46/5.89 % (2381034)Peak memory usage: 91 MB
% 34.46/5.89 % (2381034)Instructions burned: 191 (million)
% 34.46/5.89 % (2381030)Instruction limit reached!
% 34.46/5.89 % (2381030)------------------------------
% 34.46/5.89 % (2381030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381030)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381030)Termination reason: Instruction limit
% 34.46/5.89 % (2381030)Termination phase: Saturation
% 34.46/5.89 % (2381030)Time elapsed: 0.519 s
% 34.46/5.89 % (2381030)Peak memory usage: 93 MB
% 34.46/5.89 % (2381030)Instructions burned: 500 (million)
% 34.46/5.89 % (2381037)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1277047202:i=264:kws=precedence:fsr=off_2977 on theBenchmark for (2977ds/264Mi)
% 34.46/5.89 % (2381038)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1642044705:cond=on:i=156:bs=on:gtg=exists_all:er=known_2976 on theBenchmark for (2976ds/156Mi)
% 34.46/5.89 % (2381037)Instruction limit reached!
% 34.46/5.89 % (2381037)------------------------------
% 34.46/5.89 % (2381037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381037)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381037)Termination reason: Instruction limit
% 34.46/5.89 % (2381037)Termination phase: Saturation
% 34.46/5.89 % (2381037)Time elapsed: 0.217 s
% 34.46/5.89 % (2381037)Peak memory usage: 92 MB
% 34.46/5.89 % (2381037)Instructions burned: 264 (million)
% 34.46/5.89 % (2381038)Instruction limit reached!
% 34.46/5.89 % (2381038)------------------------------
% 34.46/5.89 % (2381038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381038)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381038)Termination reason: Instruction limit
% 34.46/5.89 % (2381038)Termination phase: Saturation
% 34.46/5.89 % (2381038)Time elapsed: 0.155 s
% 34.46/5.89 % (2381038)Peak memory usage: 89 MB
% 34.46/5.89 % (2381038)Instructions burned: 158 (million)
% 34.46/5.89 % (2381043)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=3153208528:i=3256:kws=precedence:bd=preordered:av=off_2973 on theBenchmark for (2973ds/3256Mi)
% 34.46/5.89 % (2381044)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=459485611:i=537:av=off:ss=included_2972 on theBenchmark for (2972ds/537Mi)
% 34.46/5.89 % (2381044)Instruction limit reached!
% 34.46/5.89 % (2381044)------------------------------
% 34.46/5.89 % (2381044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381044)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381044)Termination reason: Instruction limit
% 34.46/5.89 % (2381044)Termination phase: Saturation
% 34.46/5.89 % (2381044)Time elapsed: 0.285 s
% 34.46/5.89 % (2381044)Peak memory usage: 93 MB
% 34.46/5.89 % (2381044)Instructions burned: 539 (million)
% 34.46/5.89 % (2381067)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=631303897:i=180:bd=preordered:av=off_2968 on theBenchmark for (2968ds/180Mi)
% 34.46/5.89 % (2381067)Instruction limit reached!
% 34.46/5.89 % (2381067)------------------------------
% 34.46/5.89 % (2381067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381067)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381067)Termination reason: Instruction limit
% 34.46/5.89 % (2381067)Termination phase: Saturation
% 34.46/5.89 % (2381067)Time elapsed: 0.101 s
% 34.46/5.89 % (2381067)Peak memory usage: 88 MB
% 34.46/5.89 % (2381067)Instructions burned: 181 (million)
% 34.46/5.89 % (2381155)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=3167885479:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2966 on theBenchmark for (2966ds/10307Mi)
% 34.46/5.89 % (2381022)Instruction limit reached!
% 34.46/5.89 % (2381022)------------------------------
% 34.46/5.89 % (2381022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381022)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381022)Termination reason: Instruction limit
% 34.46/5.89 % (2381022)Termination phase: Saturation
% 34.46/5.89 % (2381022)Time elapsed: 2.217 s
% 34.46/5.89 % (2381022)Peak memory usage: 168 MB
% 34.46/5.89 % (2381022)Instructions burned: 5208 (million)
% 34.46/5.89 % (2381200)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=2331817461:i=412:gtgl=4:gtg=exists_all_2964 on theBenchmark for (2964ds/412Mi)
% 34.46/5.89 % (2381200)Instruction limit reached!
% 34.46/5.89 % (2381200)------------------------------
% 34.46/5.89 % (2381200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381200)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381200)Termination reason: Instruction limit
% 34.46/5.89 % (2381200)Termination phase: Saturation
% 34.46/5.89 % (2381200)Time elapsed: 0.129 s
% 34.46/5.89 % (2381200)Peak memory usage: 94 MB
% 34.46/5.89 % (2381200)Instructions burned: 412 (million)
% 34.46/5.89 % (2381012)Instruction limit reached!
% 34.46/5.89 % (2381012)------------------------------
% 34.46/5.89 % (2381012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381012)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381012)Termination reason: Instruction limit
% 34.46/5.89 % (2381012)Termination phase: Saturation
% 34.46/5.89 % (2381012)Time elapsed: 2.711 s
% 34.46/5.89 % (2381012)Peak memory usage: 150 MB
% 34.46/5.89 % (2381012)Instructions burned: 3394 (million)
% 34.46/5.89 % (2381206)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=261112819:s2pl=no:i=8478:s2at=4:nm=6_2961 on theBenchmark for (2961ds/8478Mi)
% 34.46/5.89 % (2381207)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=4045832689:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2961 on theBenchmark for (2961ds/303Mi)
% 34.46/5.89 % (2381207)Refutation not found, incomplete strategy
% 34.46/5.89 % (2381207)------------------------------
% 34.46/5.89 % (2381207)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381207)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381207)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381207)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.89 % (2381207)Time elapsed: 0.001 s
% 34.46/5.89 % (2381207)Peak memory usage: 88 MB
% 34.46/5.89 % (2381207)Instructions burned: 1 (million)
% 34.46/5.89 % (2381207)------------------------------
% 34.46/5.89 % (2381207)------------------------------
% 34.46/5.89 % (2381210)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3786428654:st=4:i=720:sd=3:fsr=off:ss=axioms_2957 on theBenchmark for (2957ds/720Mi)
% 34.46/5.89 % (2381210)Refutation not found, incomplete strategy
% 34.46/5.89 % (2381210)------------------------------
% 34.46/5.89 % (2381210)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381210)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381210)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381210)Termination reason: Refutation not found, incomplete strategy
% 34.46/5.89 % (2381210)Time elapsed: 0.001 s
% 34.46/5.89 % (2381210)Peak memory usage: 88 MB
% 34.46/5.89 % (2381210)------------------------------
% 34.46/5.89 % (2381210)------------------------------
% 34.46/5.89 % (2380978)First to succeed.
% 34.46/5.89 % (2380978)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2380957"
% 34.46/5.89 % (2381212)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1135290720:i=598:bs=on:bd=preordered:av=off:ss=axioms_2953 on theBenchmark for (2953ds/598Mi)
% 34.46/5.89 % (2381043)Instruction limit reached!
% 34.46/5.89 % (2381043)------------------------------
% 34.46/5.89 % (2381043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.46/5.89 % (2381043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.46/5.89 % (2381043)CaDiCaL version: 2.1.3
% 34.46/5.89 % (2381043)Termination reason: Instruction limit
% 34.46/5.89 % (2381043)Termination phase: Saturation
% 34.46/5.89 % (2381043)Time elapsed: 2.025 s
% 34.46/5.89 % (2381043)Peak memory usage: 150 MB
% 34.46/5.89 % (2381043)Instructions burned: 3257 (million)
% 34.46/5.89 % (2380978)Refutation found. Thanks to Tanya!
% 34.46/5.89 % SZS status Unsatisfiable for theBenchmark
% 34.46/5.89 % SZS output start Proof for theBenchmark
% See solution above
% 35.40/6.08 % (2380978)------------------------------
% 35.40/6.08 % (2380978)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.40/6.08 % (2380978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.40/6.08 % (2380978)CaDiCaL version: 2.1.3
% 35.40/6.08 % (2380978)Termination reason: Refutation
% 35.40/6.08 % (2380978)Time elapsed: 4.390 s
% 35.40/6.08 % (2380978)Peak memory usage: 164 MB
% 35.40/6.08 % (2380978)Instructions burned: 5437 (million)
% 35.40/6.08 % (2380978)------------------------------
% 35.40/6.08 % (2380978)------------------------------
% 35.40/6.08 % (2380957)Success in time 4.93 s
% 35.40/6.08 % Vampire exiting
%------------------------------------------------------------------------------