%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT215-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n007.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 11:46:17 AM UTC 2026
% Result : Unsatisfiable 34.58s 9.18s
% Output : Refutation 56.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 16
% Syntax : Number of formulae : 294 ( 272 unt; 5 def)
% Number of atoms : 322 ( 321 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 58 ( 30 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 9 ( 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 : 601 ( 601 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(X1,join(X0,X2)))))) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H80) ).
fof(f13,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/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(f36,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f34,f4]) ).
fof(f41,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f36,f5]) ).
fof(f46,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X2,join(X1,meet(X0,join(X1,X2)))))) = join(meet(X0,X1),meet(X1,X2)),
inference(superposition,[],[f12,f5]) ).
fof(f49,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X2))) = meet(X0,join(meet(X0,X1),meet(meet(X0,X2),join(X0,meet(X1,X0))))),
inference(superposition,[],[f12,f4]) ).
fof(f51,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(X1,X0)) = meet(X1,join(meet(X1,X2),meet(X0,join(X1,meet(X2,join(X0,X1)))))),
inference(superposition,[],[f12,f6]) ).
fof(f57,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = meet(X0,join(meet(X0,X2),meet(X1,join(X0,meet(join(X0,X1),X2))))),
inference(superposition,[],[f12,f5]) ).
fof(f68,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X2))) = meet(X0,join(meet(X0,X1),meet(X0,meet(X2,join(X0,meet(X1,X0)))))),
inference(forward_demodulation,[],[f49,f7]) ).
fof(f77,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X2))) = meet(X0,join(meet(X0,X1),meet(X0,meet(X2,X0)))),
inference(forward_demodulation,[],[f68,f32]) ).
fof(f83,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,meet(X2,X0)))),
inference(forward_demodulation,[],[f77,f41]) ).
fof(f92,plain,
a = join(a,sF3),
inference(superposition,[],[f32,f26]) ).
fof(f93,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X2,X0))) = meet(X0,join(meet(X0,X1),meet(meet(X2,X0),join(X0,meet(X1,X0))))),
inference(superposition,[],[f12,f32]) ).
fof(f94,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f34,f32]) ).
fof(f96,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f94,f5]) ).
fof(f97,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X2,X0))) = meet(X0,join(meet(X0,X1),meet(X2,meet(X0,join(X0,meet(X1,X0)))))),
inference(forward_demodulation,[],[f93,f7]) ).
fof(f101,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(backward_demodulation,[],[f83,f96]) ).
fof(f102,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,meet(X2,X0))) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(forward_demodulation,[],[f97,f3]) ).
fof(f105,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X0,meet(X2,X0))),
inference(forward_demodulation,[],[f102,f101]) ).
fof(f106,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(forward_demodulation,[],[f105,f96]) ).
fof(f110,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f111,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f32]) ).
fof(f113,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f121,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f34,f8]) ).
fof(f123,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f136,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f154,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f155,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f34]) ).
fof(f158,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f7,f5]) ).
fof(f176,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f237,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f238,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f239,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,meet(X1,one))))),
inference(superposition,[],[f12,f9]) ).
fof(f242,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f244,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,meet(X1,one))))) = join(meet(X0,X1),zero),
inference(forward_demodulation,[],[f239,f10]) ).
fof(f245,plain,
! [X0,X1] : meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,meet(X1,one))))) = join(zero,meet(X0,X1)),
inference(forward_demodulation,[],[f244,f6]) ).
fof(f246,plain,
! [X0,X1] : join(zero,meet(X0,X1)) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f245,f237]) ).
fof(f248,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f251,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f252,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f253,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(superposition,[],[f154,f10]) ).
fof(f259,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f251]) ).
fof(f263,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f34,f251]) ).
fof(f266,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f248,f263]) ).
fof(f269,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(meet(X0,X1),meet(complement(X0),join(X0,X1)))),
inference(backward_demodulation,[],[f246,f259]) ).
fof(f289,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f32,f259]) ).
fof(f293,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f253,f289]) ).
fof(f346,plain,
! [X0,X1] : zero = meet(X1,complement(join(X0,X1))),
inference(superposition,[],[f293,f6]) ).
fof(f371,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f32,f237]) ).
fof(f374,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f237]) ).
fof(f380,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f238,f371]) ).
fof(f397,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f34,f374]) ).
fof(f479,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f110,f9]) ).
fof(f499,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f479,f397]) ).
fof(f690,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),meet(complement(meet(X0,X2)),join(X0,meet(X1,one))))),
inference(superposition,[],[f12,f499]) ).
fof(f693,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(complement(X0),one))),
inference(superposition,[],[f269,f499]) ).
fof(f704,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(meet(complement(X0),one),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f693,f6]) ).
fof(f705,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),meet(complement(meet(X0,X2)),join(X0,X1)))),
inference(forward_demodulation,[],[f690,f237]) ).
fof(f714,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(meet(one,complement(X0)),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f704,f5]) ).
fof(f715,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f714,f374]) ).
fof(f762,plain,
! [X2,X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(complement(meet(X0,X2)),one))),
inference(superposition,[],[f705,f499]) ).
fof(f806,plain,
! [X2,X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),meet(one,complement(meet(X0,X2))))),
inference(forward_demodulation,[],[f762,f5]) ).
fof(f847,plain,
! [X2,X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),complement(meet(X0,X2)))),
inference(forward_demodulation,[],[f806,f374]) ).
fof(f900,plain,
! [X0,X1] : zero = meet(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f252,f5]) ).
fof(f988,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f155,f5]) ).
fof(f1183,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,f242]) ).
fof(f1195,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f1183]) ).
fof(f1268,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X0,X1),join(X0,X2)),
inference(superposition,[],[f111,f3]) ).
fof(f1283,plain,
! [X0] : join(a,X0) = join(a,join(sF3,X0)),
inference(superposition,[],[f111,f26]) ).
fof(f1344,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1268,f123]) ).
fof(f1360,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1344,f8]) ).
fof(f1372,plain,
sF3 = meet(sF3,a),
inference(superposition,[],[f34,f92]) ).
fof(f1383,plain,
sF3 = meet(a,sF3),
inference(forward_demodulation,[],[f1372,f5]) ).
fof(f2645,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X3) = join(join(meet(X0,X1),meet(X2,X0)),join(join(meet(X0,X1),meet(X0,X2)),X3)),
inference(superposition,[],[f111,f101]) ).
fof(f2670,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X3) = join(meet(X0,X1),join(meet(X2,X0),join(join(meet(X0,X1),meet(X0,X2)),X3))),
inference(forward_demodulation,[],[f2645,f8]) ).
fof(f2731,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X3) = join(meet(X0,X1),join(meet(X2,X0),join(meet(X0,X1),join(meet(X0,X2),X3)))),
inference(forward_demodulation,[],[f2670,f8]) ).
fof(f2781,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X3) = join(meet(X0,X1),join(join(meet(X0,X2),X3),meet(X2,X0))),
inference(forward_demodulation,[],[f2731,f1360]) ).
fof(f2812,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X2,X0)),X3) = join(meet(X0,X1),join(meet(X2,X0),join(meet(X0,X2),X3))),
inference(forward_demodulation,[],[f2781,f6]) ).
fof(f2836,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),join(meet(X2,X0),join(meet(X0,X2),X3))) = join(meet(X0,X1),join(meet(X2,X0),X3)),
inference(forward_demodulation,[],[f2812,f8]) ).
fof(f4757,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(complement(X0),X0)) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),meet(X1,one))))),
inference(superposition,[],[f51,f9]) ).
fof(f4898,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(complement(X0),X0)) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f4757,f237]) ).
fof(f4996,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(X0,complement(X0))) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f4898,f106]) ).
fof(f5055,plain,
! [X0,X1] : join(meet(complement(X0),X1),zero) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f4996,f10]) ).
fof(f5085,plain,
! [X0,X1] : join(zero,meet(complement(X0),X1)) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f5055,f6]) ).
fof(f5109,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f5085,f259]) ).
fof(f5389,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,join(meet(X0,X1),meet(X0,join(X1,X0)))),
inference(superposition,[],[f46,f34]) ).
fof(f5509,plain,
! [X0,X1] : meet(X1,join(meet(X0,X1),X0)) = join(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[],[f5389,f34]) ).
fof(f5611,plain,
! [X0,X1] : meet(X1,join(X0,meet(X0,X1))) = join(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[],[f5509,f6]) ).
fof(f5679,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X0,X1),meet(X1,X0)),
inference(forward_demodulation,[],[f5611,f4]) ).
fof(f5898,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(meet(X1,X0),join(meet(X0,X1),X2)),
inference(superposition,[],[f123,f5679]) ).
fof(f5919,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),join(meet(X2,X0),X3)) = join(meet(X0,X1),join(X3,meet(X0,X2))),
inference(backward_demodulation,[],[f2836,f5898]) ).
fof(f6220,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f136,f9]) ).
fof(f6240,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f6220]) ).
fof(f6254,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f6240,f5]) ).
fof(f6270,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f6254,f10]) ).
fof(f7072,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(join(meet(X0,X1),meet(complement(X0),join(X0,X1))),meet(X0,X2)),
inference(superposition,[],[f158,f269]) ).
fof(f7283,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X2,join(meet(X0,X1),meet(complement(X0),join(X0,X1))))),
inference(forward_demodulation,[],[f7072,f176]) ).
fof(f7336,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,join(meet(X0,X1),meet(complement(X0),join(X0,X1))))),
inference(forward_demodulation,[],[f7283,f7]) ).
fof(f11922,plain,
! [X2,X3,X0,X1] : join(X3,join(meet(X0,X1),meet(X2,X0))) = join(meet(X0,X2),join(X3,meet(X0,X1))),
inference(superposition,[],[f123,f106]) ).
fof(f11945,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f111,f106]) ).
fof(f11953,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X2,X0),meet(X0,X1)),
inference(superposition,[],[f6,f106]) ).
fof(f12005,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,X2)),
inference(forward_demodulation,[],[f11945,f111]) ).
fof(f12291,plain,
! [X2,X3,X0,X1] : join(X0,join(meet(X2,X1),X3)) = join(X3,join(X0,meet(X1,X2))),
inference(superposition,[],[f123,f12005]) ).
fof(f15759,plain,
! [X2,X0,X1] : meet(meet(X0,complement(meet(X0,X1))),X2) = meet(join(complement(X0),meet(X0,complement(meet(X0,X1)))),meet(X0,X2)),
inference(superposition,[],[f158,f715]) ).
fof(f15826,plain,
! [X2,X0,X1] : meet(meet(X0,complement(meet(X0,X1))),X2) = meet(X0,meet(X2,join(complement(X0),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f15759,f176]) ).
fof(f15878,plain,
! [X2,X0,X1] : meet(X0,meet(complement(meet(X0,X1)),X2)) = meet(X0,meet(X2,join(complement(X0),meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f15826,f7]) ).
fof(f16254,plain,
! [X0,X1] : meet(X0,one) = join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f847,f9]) ).
fof(f16365,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f16254,f237]) ).
fof(f16770,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,[],[f111,f16365]) ).
fof(f16803,plain,
! [X0,X1] :
( zero != meet(meet(X0,complement(meet(X0,X1))),join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)))
| complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)) ),
inference(superposition,[],[f1195,f16365]) ).
fof(f16814,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(meet(X0,X1)),join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0))))
| complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)) ),
inference(forward_demodulation,[],[f16803,f7]) ).
fof(f16845,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,[],[f16770,f6]) ).
fof(f16878,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(meet(X0,X1)),join(complement(X0),meet(X0,complement(meet(X0,complement(meet(X0,X1))))))))
| complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)) ),
inference(forward_demodulation,[],[f16814,f6]) ).
fof(f16899,plain,
! [X0,X1] : one = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f16845,f499]) ).
fof(f16928,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1))))
| complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)) ),
inference(forward_demodulation,[],[f16878,f15878]) ).
fof(f16948,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1))))))
| complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)) ),
inference(forward_demodulation,[],[f16928,f5]) ).
fof(f16961,plain,
! [X0,X1] : complement(meet(X0,complement(meet(X0,X1)))) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),complement(X0)),
inference(forward_subsumption_resolution,[],[f16948,f252]) ).
fof(f16971,plain,
! [X0,X1] : complement(meet(X0,complement(meet(X0,X1)))) = join(complement(X0),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f16961,f6]) ).
fof(f17097,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,f16899]) ).
fof(f17132,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,[],[f17097]) ).
fof(f17162,plain,
! [X0,X1] : complement(complement(meet(X0,X1))) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_subsumption_resolution,[],[f17132,f900]) ).
fof(f17222,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f17162,f6270]) ).
fof(f17258,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,X1)) = X0,
inference(backward_demodulation,[],[f16365,f17222]) ).
fof(f17263,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = complement(meet(X0,complement(meet(X0,X1)))),
inference(backward_demodulation,[],[f16971,f17222]) ).
fof(f17292,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(backward_demodulation,[],[f17222,f17263]) ).
fof(f17298,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f17258,f6]) ).
fof(f17376,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X0,X1)))) = X1,
inference(superposition,[],[f17298,f96]) ).
fof(f17452,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f111,f17298]) ).
fof(f17729,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f17452,f5]) ).
fof(f17765,plain,
! [X0,X1] : join(join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1))),complement(X0)) = join(join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1))),meet(complement(X0),complement(meet(complement(X0),X1)))),
inference(superposition,[],[f17452,f5109]) ).
fof(f17944,plain,
! [X0,X1] : join(join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1))),complement(X0)) = join(meet(complement(X0),complement(meet(complement(X0),X1))),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f17765,f6]) ).
fof(f18030,plain,
! [X0,X1] : join(join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1))),complement(X0)) = join(meet(X0,join(complement(X0),X1)),join(meet(complement(X0),complement(meet(complement(X0),X1))),meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f17944,f12291]) ).
fof(f18087,plain,
! [X0,X1] : join(join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1))),complement(X0)) = join(meet(complement(X0),X1),join(meet(X0,join(complement(X0),X1)),meet(complement(X0),complement(meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f18030,f11922]) ).
fof(f18126,plain,
! [X0,X1] : join(complement(X0),join(meet(complement(X0),X1),meet(X0,join(complement(X0),X1)))) = join(meet(complement(X0),X1),join(meet(X0,join(complement(X0),X1)),meet(complement(X0),complement(meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f18087,f6]) ).
fof(f18142,plain,
! [X0,X1] : join(complement(X0),meet(X0,join(complement(X0),X1))) = join(meet(complement(X0),X1),join(meet(X0,join(complement(X0),X1)),meet(complement(X0),complement(meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f18126,f110]) ).
fof(f18164,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f17292,f96]) ).
fof(f18237,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X1,X0))),
inference(superposition,[],[f17292,f12005]) ).
fof(f18261,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(join(X0,X2),join(complement(X0),meet(X0,X1))))))),
inference(superposition,[],[f57,f17292]) ).
fof(f18730,plain,
! [X0,X1] : meet(join(X0,X1),X0) = meet(join(X0,X1),join(complement(join(X0,X1)),X0)),
inference(superposition,[],[f18237,f3]) ).
fof(f18731,plain,
! [X0,X1] : meet(join(X1,X0),X0) = meet(join(X1,X0),join(complement(join(X1,X0)),X0)),
inference(superposition,[],[f18237,f34]) ).
fof(f18956,plain,
! [X0,X1] : meet(join(X1,X0),X0) = meet(join(X1,X0),join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f18731,f6]) ).
fof(f18957,plain,
! [X0,X1] : meet(join(X0,X1),X0) = meet(join(X0,X1),join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f18730,f6]) ).
fof(f19054,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = meet(join(X1,X0),join(X0,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f18956,f5]) ).
fof(f19055,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(join(X0,X1),join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f18957,f5]) ).
fof(f19124,plain,
! [X0,X1] : meet(join(X1,X0),join(X0,complement(join(X1,X0)))) = X0,
inference(forward_demodulation,[],[f19054,f34]) ).
fof(f19125,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f19055,f3]) ).
fof(f19259,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f155,f19125]) ).
fof(f19305,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(join(X0,X1),complement(X0))),
inference(superposition,[],[f17298,f19125]) ).
fof(f19310,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[],[f19305,f12005]) ).
fof(f19455,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f19259,f6]) ).
fof(f19689,plain,
! [X0,X1] :
( complement(X0) = join(X1,complement(join(X0,X1)))
| meet(X0,X1) != zero ),
inference(backward_demodulation,[],[f1195,f19455]) ).
fof(f19839,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,join(complement(X0),X1))),
inference(superposition,[],[f19310,f6270]) ).
fof(f19945,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,meet(complement(meet(X0,X1)),join(meet(X0,X1),X2))),
inference(superposition,[],[f110,f19310]) ).
fof(f19963,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,meet(complement(meet(X0,X1)),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f19945,f110]) ).
fof(f20017,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(complement(X0),X1),join(meet(X0,join(complement(X0),X1)),meet(complement(X0),complement(meet(complement(X0),X1))))),
inference(backward_demodulation,[],[f18142,f19839]) ).
fof(f20116,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,[],[f19689,f17452]) ).
fof(f20135,plain,
! [X0,X1] :
( complement(X1) = join(complement(join(X0,X1)),complement(complement(X0)))
| zero != meet(X1,complement(join(X0,X1)))
| meet(X0,X1) != zero ),
inference(superposition,[],[f19689,f19689]) ).
fof(f20269,plain,
! [X0,X1] :
( complement(X1) = join(complement(join(X0,X1)),complement(complement(X0)))
| meet(X0,X1) != zero ),
inference(forward_subsumption_resolution,[],[f20135,f346]) ).
fof(f20288,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1))),
inference(forward_subsumption_resolution,[],[f20116,f900]) ).
fof(f20313,plain,
! [X0,X1] :
( complement(X1) = join(complement(complement(X0)),complement(join(X0,X1)))
| meet(X0,X1) != zero ),
inference(forward_demodulation,[],[f20269,f6]) ).
fof(f20330,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f20288,f6]) ).
fof(f20345,plain,
! [X0,X1] :
( complement(X1) = join(X0,complement(join(X0,X1)))
| meet(X0,X1) != zero ),
inference(forward_demodulation,[],[f20313,f6270]) ).
fof(f20419,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(X0),join(meet(X0,join(complement(X0),X1)),X2)),
inference(superposition,[],[f8,f19839]) ).
fof(f20475,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(meet(X0,join(complement(X0),X1)),X2)),
inference(forward_demodulation,[],[f20419,f8]) ).
fof(f20651,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(join(sF3,X0),complement(join(a,X0)))),
inference(superposition,[],[f19455,f1283]) ).
fof(f20817,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(complement(join(a,X0)),join(sF3,X0))),
inference(forward_demodulation,[],[f20651,f6]) ).
fof(f20901,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(X0,join(complement(join(a,X0)),sF3))),
inference(forward_demodulation,[],[f20817,f123]) ).
fof(f20956,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(X0,join(sF3,complement(join(a,X0))))),
inference(forward_demodulation,[],[f20901,f6]) ).
fof(f21121,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,meet(join(X1,X2),join(complement(X1),meet(X0,X1))))))),
inference(superposition,[],[f57,f18164]) ).
fof(f21711,plain,
! [X0,X1] :
( join(X0,complement(join(X0,X1))) = complement(meet(complement(X0),join(X0,X1)))
| zero != meet(X0,meet(complement(X0),join(X0,X1))) ),
inference(superposition,[],[f20345,f19310]) ).
fof(f21897,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(meet(complement(X0),join(X0,X1))),
inference(forward_subsumption_resolution,[],[f21711,f266]) ).
fof(f23572,plain,
! [X0,X1] :
( complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,X1)))
| zero != meet(X0,meet(X1,complement(meet(X0,X1)))) ),
inference(superposition,[],[f19689,f17729]) ).
fof(f23611,plain,
! [X0,X1] : complement(X0) = join(meet(X1,complement(meet(X0,X1))),complement(join(X0,X1))),
inference(forward_subsumption_resolution,[],[f23572,f252]) ).
fof(f23722,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f23611,f6]) ).
fof(f23904,plain,
! [X0,X1] : complement(meet(X1,complement(meet(X0,X1)))) = join(complement(X1),meet(X0,X1)),
inference(superposition,[],[f17263,f18164]) ).
fof(f24121,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,[],[f19124,f17452]) ).
fof(f24122,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(join(X0,X1),join(meet(X1,complement(meet(X0,X1))),complement(join(X0,X1)))),
inference(superposition,[],[f19124,f17729]) ).
fof(f24228,plain,
! [X0,X1] : join(complement(join(X1,X0)),X0) = complement(meet(join(X1,X0),complement(X0))),
inference(superposition,[],[f17263,f19124]) ).
fof(f24245,plain,
! [X0,X1] : complement(meet(complement(X0),join(X1,X0))) = join(complement(join(X1,X0)),X0),
inference(forward_demodulation,[],[f24228,f5]) ).
fof(f24322,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(join(X0,X1),join(complement(join(X0,X1)),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f24122,f6]) ).
fof(f24323,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(join(X0,X1),join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f24121,f6]) ).
fof(f24330,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = complement(meet(complement(X0),join(X1,X0))),
inference(forward_demodulation,[],[f24245,f6]) ).
fof(f24377,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(join(X0,X1),complement(X0)),
inference(forward_demodulation,[],[f24322,f23722]) ).
fof(f24378,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = meet(X1,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f24323,f20330]) ).
fof(f24407,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f24377,f5]) ).
fof(f24408,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f24378,f5]) ).
fof(f24434,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X1,complement(meet(X1,complement(X0)))),
inference(superposition,[],[f24408,f6270]) ).
fof(f24437,plain,
! [X0,X1] : meet(complement(X1),join(X0,X1)) = meet(X0,complement(meet(X0,X1))),
inference(superposition,[],[f24408,f6]) ).
fof(f24475,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(X0,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f988,f24408]) ).
fof(f24528,plain,
! [X0,X1] : complement(meet(complement(X0),join(X0,X1))) = join(complement(X1),meet(X1,X0)),
inference(superposition,[],[f17263,f24408]) ).
fof(f24530,plain,
! [X0,X1] : join(meet(X1,X0),meet(complement(X0),join(X0,X1))) = X1,
inference(superposition,[],[f17298,f24408]) ).
fof(f24537,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,meet(complement(X0),join(X0,X1))),
inference(superposition,[],[f41,f24408]) ).
fof(f24633,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(X0)),
inference(forward_demodulation,[],[f24537,f988]) ).
fof(f24670,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f24475,f41]) ).
fof(f24731,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,join(meet(X0,X1),meet(X1,complement(X0))))),
inference(backward_demodulation,[],[f7336,f24633]) ).
fof(f24745,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(meet(X1,complement(X0))),
inference(backward_demodulation,[],[f21897,f24633]) ).
fof(f24747,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,complement(X0)),
inference(backward_demodulation,[],[f24407,f24633]) ).
fof(f24749,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(complement(X1),meet(X1,X0)),
inference(backward_demodulation,[],[f24528,f24633]) ).
fof(f24750,plain,
! [X0,X1] : join(meet(X1,X0),meet(X1,complement(X0))) = X1,
inference(backward_demodulation,[],[f24530,f24633]) ).
fof(f24812,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,meet(X2,complement(meet(X0,X1)))),
inference(backward_demodulation,[],[f19963,f24633]) ).
fof(f25034,plain,
! [X0,X1] : meet(complement(X1),join(X0,X1)) = meet(X0,complement(X1)),
inference(backward_demodulation,[],[f24437,f24670]) ).
fof(f25078,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f24434,f24670]) ).
fof(f25111,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(complement(X0),X1),join(meet(X0,join(complement(X0),X1)),meet(complement(X0),complement(X1)))),
inference(backward_demodulation,[],[f20017,f24670]) ).
fof(f25341,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(join(X0,X2),complement(meet(X0,complement(X1)))))))),
inference(backward_demodulation,[],[f18261,f24749]) ).
fof(f25376,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(X0))) = X1,
inference(backward_demodulation,[],[f17376,f24747]) ).
fof(f25385,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(complement(X1),meet(X0,X1)),
inference(backward_demodulation,[],[f23904,f24747]) ).
fof(f25528,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(complement(X0),X1),join(meet(complement(X1),complement(X0)),meet(X0,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f25111,f5919]) ).
fof(f25545,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f25078,f6270]) ).
fof(f25599,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = complement(meet(X1,complement(X0))),
inference(backward_demodulation,[],[f24330,f25034]) ).
fof(f25743,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,join(X0,X2))))),
inference(forward_demodulation,[],[f25341,f24812]) ).
fof(f25771,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,meet(join(X1,X2),complement(meet(X1,complement(X0)))))))),
inference(backward_demodulation,[],[f21121,f25385]) ).
fof(f25787,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(backward_demodulation,[],[f24731,f25376]) ).
fof(f25890,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(complement(X0),join(meet(X1,X0),X2)),
inference(backward_demodulation,[],[f20475,f25545]) ).
fof(f25912,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(complement(X0),X1),join(meet(complement(X1),complement(X0)),meet(X1,X0))),
inference(backward_demodulation,[],[f25528,f25545]) ).
fof(f26245,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f25743,f121]) ).
fof(f26253,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,join(X1,join(X1,X2))))),
inference(forward_demodulation,[],[f25771,f24812]) ).
fof(f26329,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X1,X0),join(meet(complement(X0),X1),meet(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f25912,f12291]) ).
fof(f26824,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f26253,f121]) ).
fof(f26866,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f26329,f24750]) ).
fof(f27216,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X1,X0)),
inference(forward_demodulation,[],[f26866,f6]) ).
fof(f27434,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(backward_demodulation,[],[f25385,f27216]) ).
fof(f27656,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = join(complement(X1),X0),
inference(backward_demodulation,[],[f24745,f27434]) ).
fof(f27669,plain,
! [X0,X1] : join(X0,complement(join(X1,X0))) = join(complement(X1),X0),
inference(backward_demodulation,[],[f25599,f27434]) ).
fof(f28008,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(X0,complement(X1))),
inference(superposition,[],[f25545,f6]) ).
fof(f28773,plain,
! [X0,X1] : meet(complement(join(complement(X1),X0)),X1) = meet(X1,join(complement(X0),complement(X1))),
inference(superposition,[],[f25545,f27656]) ).
fof(f28784,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(join(complement(X1),X0)),X1),
inference(forward_demodulation,[],[f28773,f28008]) ).
fof(f28901,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f28784,f5]) ).
fof(f29570,plain,
! [X0,X1] : meet(complement(join(complement(X0),X1)),one) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f25034,f380]) ).
fof(f29683,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(complement(join(complement(X0),X1)),one),
inference(forward_demodulation,[],[f29570,f28901]) ).
fof(f29724,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(one,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f29683,f5]) ).
fof(f29745,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[],[f29724,f374]) ).
fof(f30356,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(X0)),
inference(superposition,[],[f29745,f6270]) ).
fof(f30385,plain,
! [X0,X1] : meet(complement(complement(join(complement(X1),X0))),X1) = complement(join(complement(X0),complement(X1))),
inference(superposition,[],[f29745,f27656]) ).
fof(f30451,plain,
! [X0,X1] : meet(complement(complement(join(complement(X1),X0))),X1) = meet(complement(complement(X1)),X0),
inference(forward_demodulation,[],[f30385,f29745]) ).
fof(f30560,plain,
! [X0,X1] : meet(X1,X0) = meet(complement(complement(join(complement(X1),X0))),X1),
inference(forward_demodulation,[],[f30451,f6270]) ).
fof(f30641,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,complement(complement(join(complement(X1),X0)))),
inference(forward_demodulation,[],[f30560,f5]) ).
fof(f30662,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f30641,f6270]) ).
fof(f31350,plain,
! [X2,X0,X1] : meet(X2,complement(join(X0,X1))) = meet(X2,meet(complement(X0),complement(X1))),
inference(superposition,[],[f25787,f30356]) ).
fof(f31355,plain,
! [X2,X0,X1] : meet(X2,complement(join(X1,X0))) = meet(X2,complement(join(X0,X1))),
inference(forward_demodulation,[],[f31350,f30356]) ).
fof(f31879,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(complement(join(X0,X1)),join(X1,X2)),
inference(superposition,[],[f113,f27669]) ).
fof(f31931,plain,
! [X2,X0,X1] : join(join(complement(X0),X1),X2) = join(X1,join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f31879,f123]) ).
fof(f31994,plain,
! [X2,X0,X1] : join(complement(X0),join(X1,X2)) = join(X1,join(X2,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f31931,f8]) ).
fof(f32048,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(complement(a),join(X0,sF3))),
inference(backward_demodulation,[],[f20956,f31994]) ).
fof(f32079,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(join(X0,sF3),a),
inference(forward_demodulation,[],[f32048,f25545]) ).
fof(f32108,plain,
! [X0] : meet(a,join(sF3,X0)) = meet(a,join(X0,sF3)),
inference(forward_demodulation,[],[f32079,f5]) ).
fof(f35725,plain,
! [X0] : join(sF3,meet(a,X0)) = meet(a,join(sF3,X0)),
inference(superposition,[],[f26245,f1383]) ).
fof(f36087,plain,
! [X0] : join(sF3,meet(a,X0)) = meet(a,join(X0,sF3)),
inference(backward_demodulation,[],[f32108,f35725]) ).
fof(f36681,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(complement(X0),join(X1,X2))),
inference(superposition,[],[f30662,f25890]) ).
fof(f36738,plain,
! [X2,X0,X1] : meet(X0,join(meet(X1,X0),X2)) = meet(join(X1,X2),X0),
inference(forward_demodulation,[],[f36681,f25545]) ).
fof(f36856,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(join(X0,X2),X1),
inference(backward_demodulation,[],[f26824,f36738]) ).
fof(f36956,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(join(X2,X1),X0),
inference(backward_demodulation,[],[f11953,f36856]) ).
fof(f37139,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = meet(join(X2,X1),X0),
inference(backward_demodulation,[],[f106,f36956]) ).
fof(f39723,plain,
! [X0] : join(meet(a,X0),sF2) = meet(join(b,X0),a),
inference(superposition,[],[f37139,f25]) ).
fof(f39731,plain,
! [X0] : join(meet(a,X0),sF3) = meet(join(c,X0),a),
inference(superposition,[],[f37139,f26]) ).
fof(f39883,plain,
! [X0] : meet(a,join(c,X0)) = join(meet(a,X0),sF3),
inference(forward_demodulation,[],[f39731,f5]) ).
fof(f39891,plain,
! [X0] : meet(a,join(b,X0)) = join(meet(a,X0),sF2),
inference(forward_demodulation,[],[f39723,f5]) ).
fof(f40087,plain,
! [X0] : meet(a,join(c,X0)) = join(sF3,meet(a,X0)),
inference(forward_demodulation,[],[f39883,f6]) ).
fof(f40095,plain,
! [X0] : meet(a,join(b,X0)) = join(sF2,meet(a,X0)),
inference(forward_demodulation,[],[f39891,f6]) ).
fof(f40248,plain,
! [X0] : meet(a,join(c,X0)) = meet(a,join(X0,sF3)),
inference(backward_demodulation,[],[f36087,f40087]) ).
fof(f48389,plain,
! [X2,X0,X1] : meet(X0,complement(meet(X0,complement(join(X1,X2))))) = meet(X0,complement(complement(join(X2,X1)))),
inference(superposition,[],[f24670,f31355]) ).
fof(f48589,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,complement(meet(X0,complement(join(X1,X2))))),
inference(forward_demodulation,[],[f48389,f6270]) ).
fof(f48671,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,complement(complement(join(X1,X2)))),
inference(forward_demodulation,[],[f48589,f24670]) ).
fof(f48723,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f48671,f6270]) ).
fof(f53657,plain,
join(sF2,sF3) = meet(a,join(b,sF3)),
inference(superposition,[],[f40095,f1383]) ).
fof(f53829,plain,
join(sF2,sF3) = meet(a,join(c,b)),
inference(forward_demodulation,[],[f53657,f40248]) ).
fof(f53898,plain,
meet(a,join(b,c)) = join(sF2,sF3),
inference(forward_demodulation,[],[f53829,f48723]) ).
fof(f53935,plain,
meet(a,join(b,c)) = sF4,
inference(forward_demodulation,[],[f53898,f23]) ).
fof(f53960,plain,
meet(a,sF0) = sF4,
inference(forward_demodulation,[],[f53935,f15]) ).
fof(f53971,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f53960,f17]) ).
fof(f53974,plain,
$false,
inference(forward_subsumption_resolution,[],[f53971,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT215-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.47 % Computer : n007.cluster.edu
% 0.21/0.47 % Model : x86_64 x86_64
% 0.21/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.47 % Memory : 8046.5625MB
% 0.21/0.47 % OS : Linux 6.8.0-71-generic
% 0.21/0.47 % CPULimit : 300
% 0.21/0.47 % WCLimit : 300
% 0.21/0.47 % DateTime : Sun Sep 27 14:04:55 UTC 2026
% 0.21/0.48 % CPUTime :
% 0.21/0.48 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.25/0.54 Running first-order theorem proving
% 0.25/0.54 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 20.13/4.09 % (1439317)Input is clausal, will run a generic CNF schedule.
% 20.13/4.09 % (1439323)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=984522218:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 20.13/4.09 % (1439322)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=1254490747:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 20.13/4.09 % (1439324)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=110056057:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 20.13/4.09 % (1439325)lrs+10_1_sil=8000:sp=occurrence:random_seed=2201038805:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 20.13/4.09 % (1439326)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1719713673:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 20.13/4.09 % (1439327)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2200201712:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 20.13/4.09 % (1439328)dis-21_1_sil=8000:lcm=predicate:random_seed=3833448266: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)
% 20.13/4.09 % (1439328)Refutation not found, incomplete strategy
% 20.13/4.09 % (1439328)------------------------------
% 20.13/4.09 % (1439328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.09 % (1439328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.09 % (1439328)CaDiCaL version: 2.1.3
% 20.13/4.09 % (1439328)Termination reason: Refutation not found, incomplete strategy
% 20.13/4.09 % (1439328)Time elapsed: 0.003 s
% 20.13/4.09 % (1439328)Peak memory usage: 88 MB
% 20.13/4.09 % (1439328)Instructions burned: 1 (million)
% 20.13/4.09 % (1439325)Instruction limit reached!
% 20.13/4.09 % (1439325)------------------------------
% 20.13/4.09 % (1439325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.09 % (1439325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.09 % (1439325)CaDiCaL version: 2.1.3
% 20.13/4.09 % (1439325)Termination reason: Instruction limit
% 20.13/4.09 % (1439325)Termination phase: Saturation
% 20.13/4.09 % (1439325)Time elapsed: 0.107 s
% 20.13/4.09 % (1439325)Peak memory usage: 88 MB
% 20.13/4.09 % (1439325)Instructions burned: 108 (million)
% 20.13/4.09 % (1439326)Instruction limit reached!
% 20.13/4.09 % (1439326)------------------------------
% 20.13/4.09 % (1439326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.09 % (1439326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.09 % (1439326)CaDiCaL version: 2.1.3
% 20.13/4.09 % (1439326)Termination reason: Instruction limit
% 20.13/4.09 % (1439326)Termination phase: Saturation
% 20.13/4.09 % (1439326)Time elapsed: 0.111 s
% 20.13/4.09 % (1439326)Peak memory usage: 89 MB
% 20.13/4.09 % (1439326)Instructions burned: 115 (million)
% 20.13/4.09 % (1439327)Instruction limit reached!
% 20.13/4.09 % (1439327)------------------------------
% 20.13/4.09 % (1439327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.09 % (1439327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.13/4.09 % (1439327)CaDiCaL version: 2.1.3
% 20.13/4.09 % (1439327)Termination reason: Instruction limit
% 20.13/4.09 % (1439327)Termination phase: Saturation
% 20.13/4.09 % (1439327)Time elapsed: 0.168 s
% 20.13/4.09 % (1439327)Peak memory usage: 89 MB
% 20.13/4.09 % (1439327)Instructions burned: 180 (million)
% 20.13/4.09 % (1439337)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4219805187: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)
% 20.13/4.09 % (1439336)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=2341260564:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 20.13/4.09 % (1439336)Refutation not found, incomplete strategy
% 20.13/4.09 % (1439336)------------------------------
% 20.13/4.09 % (1439336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.13/4.09 % (1439337)Refutation not found, incomplete strategy
% 20.13/4.09 % (1439337)------------------------------
% 20.13/4.09 % (1439337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.39/6.78 % (1439336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439336)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439337)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439336)Termination reason: Refutation not found, incomplete strategy
% 38.39/6.78 % (1439336)Time elapsed: 0.002 s
% 38.39/6.78 % (1439337)Termination reason: Refutation not found, incomplete strategy
% 38.39/6.78 % (1439337)Time elapsed: 0.002 s
% 38.39/6.78 % (1439337)Peak memory usage: 88 MB
% 38.39/6.78 % (1439336)Peak memory usage: 88 MB
% 38.39/6.78 % (1439337)Instructions burned: 1 (million)
% 38.39/6.78 % (1439338)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2855680996:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 38.39/6.78 % (1439338)Refutation not found, incomplete strategy
% 38.39/6.78 % (1439338)------------------------------
% 38.39/6.78 % (1439338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.39/6.78 % (1439338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439338)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439338)Termination reason: Refutation not found, incomplete strategy
% 38.39/6.78 % (1439338)Time elapsed: 0.002 s
% 38.39/6.78 % (1439338)Peak memory usage: 88 MB
% 38.39/6.78 % (1439328)------------------------------
% 38.39/6.78 % (1439328)------------------------------
% 38.39/6.78 % (1439342)lrs+10_64_to=lpo:sil=8000:random_seed=1653140750:i=126:bd=preordered_2993 on theBenchmark for (2993ds/126Mi)
% 38.39/6.78 % (1439337)------------------------------
% 38.39/6.78 % (1439337)------------------------------
% 38.39/6.78 % (1439336)------------------------------
% 38.39/6.78 % (1439336)------------------------------
% 38.39/6.78 % (1439342)Instruction limit reached!
% 38.39/6.78 % (1439342)------------------------------
% 38.39/6.78 % (1439342)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.39/6.78 % (1439342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439342)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439342)Termination reason: Instruction limit
% 38.39/6.78 % (1439342)Termination phase: Saturation
% 38.39/6.78 % (1439342)Time elapsed: 0.123 s
% 38.39/6.78 % (1439342)Peak memory usage: 88 MB
% 38.39/6.78 % (1439342)Instructions burned: 126 (million)
% 38.39/6.78 % (1439338)------------------------------
% 38.39/6.78 % (1439338)------------------------------
% 38.39/6.78 % (1439344)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2164979471:avsq=on:i=194:fgj=on:bd=preordered_2990 on theBenchmark for (2990ds/194Mi)
% 38.39/6.78 % (1439345)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1666224225:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 38.39/6.78 % (1439346)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=561567296:i=3394:sd=4:ss=included:sgt=64_2989 on theBenchmark for (2989ds/3394Mi)
% 38.39/6.78 % (1439347)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=3055723672:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 38.39/6.78 % (1439345)Instruction limit reached!
% 38.39/6.78 % (1439345)------------------------------
% 38.39/6.78 % (1439345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.39/6.78 % (1439345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439345)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439345)Termination reason: Instruction limit
% 38.39/6.78 % (1439345)Termination phase: Saturation
% 38.39/6.78 % (1439345)Time elapsed: 0.163 s
% 38.39/6.78 % (1439345)Peak memory usage: 90 MB
% 38.39/6.78 % (1439345)Instructions burned: 158 (million)
% 38.39/6.78 % (1439347)Instruction limit reached!
% 38.39/6.78 % (1439347)------------------------------
% 38.39/6.78 % (1439347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 38.39/6.78 % (1439347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 38.39/6.78 % (1439347)CaDiCaL version: 2.1.3
% 38.39/6.78 % (1439347)Termination reason: Instruction limit
% 38.39/6.78 % (1439347)Termination phase: Saturation
% 38.39/6.78 % (1439347)Time elapsed: 0.110 s
% 38.39/6.78 % (1439347)Peak memory usage: 89 MB
% 38.39/6.78 % (1439347)Instructions burned: 106 (million)
% 38.39/6.78 % (1439344)Instruction limit reached!
% 38.39/6.78 % (1439344)------------------------------
% 34.58/9.18 % (1439344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439344)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439344)Termination reason: Instruction limit
% 34.58/9.18 % (1439344)Termination phase: Saturation
% 34.58/9.18 % (1439344)Time elapsed: 0.197 s
% 34.58/9.18 % (1439344)Peak memory usage: 89 MB
% 34.58/9.18 % (1439344)Instructions burned: 195 (million)
% 34.58/9.18 % (1439352)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4109938715:i=107_2986 on theBenchmark for (2986ds/107Mi)
% 34.58/9.18 % (1439353)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3889996486:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 34.58/9.18 % (1439352)Refutation not found, incomplete strategy
% 34.58/9.18 % (1439352)------------------------------
% 34.58/9.18 % (1439352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439352)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439352)Termination reason: Refutation not found, incomplete strategy
% 34.58/9.18 % (1439352)Time elapsed: 0.002 s
% 34.58/9.18 % (1439352)Peak memory usage: 87 MB
% 34.58/9.18 % (1439354)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3413567815:cond=fast:i=5208:av=off_2985 on theBenchmark for (2985ds/5208Mi)
% 34.58/9.18 % (1439353)Instruction limit reached!
% 34.58/9.18 % (1439353)------------------------------
% 34.58/9.18 % (1439353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439353)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439353)Termination reason: Instruction limit
% 34.58/9.18 % (1439353)Termination phase: Saturation
% 34.58/9.18 % (1439353)Time elapsed: 0.241 s
% 34.58/9.18 % (1439353)Peak memory usage: 90 MB
% 34.58/9.18 % (1439353)Instructions burned: 242 (million)
% 34.58/9.18 % (1439352)------------------------------
% 34.58/9.18 % (1439352)------------------------------
% 34.58/9.18 % (1439358)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1002019496:i=134:sd=2:doe=on:ss=axioms:sgt=14_2981 on theBenchmark for (2981ds/134Mi)
% 34.58/9.18 % (1439358)Instruction limit reached!
% 34.58/9.18 % (1439358)------------------------------
% 34.58/9.18 % (1439358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439358)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439358)Termination reason: Instruction limit
% 34.58/9.18 % (1439358)Termination phase: Saturation
% 34.58/9.18 % (1439358)Time elapsed: 0.136 s
% 34.58/9.18 % (1439358)Peak memory usage: 89 MB
% 34.58/9.18 % (1439358)Instructions burned: 134 (million)
% 34.58/9.18 % (1439359)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=246295447:i=499:bd=all_2979 on theBenchmark for (2979ds/499Mi)
% 34.58/9.18 % (1439361)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2062517207:i=191:fgj=on:bd=all_2977 on theBenchmark for (2977ds/191Mi)
% 34.58/9.18 % (1439361)Instruction limit reached!
% 34.58/9.18 % (1439361)------------------------------
% 34.58/9.18 % (1439361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439361)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439361)Termination reason: Instruction limit
% 34.58/9.18 % (1439361)Termination phase: Saturation
% 34.58/9.18 % (1439361)Time elapsed: 0.198 s
% 34.58/9.18 % (1439361)Peak memory usage: 91 MB
% 34.58/9.18 % (1439361)Instructions burned: 191 (million)
% 34.58/9.18 % (1439359)Instruction limit reached!
% 34.58/9.18 % (1439359)------------------------------
% 34.58/9.18 % (1439359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439359)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439359)Termination reason: Instruction limit
% 34.58/9.18 % (1439359)Termination phase: Saturation
% 34.58/9.18 % (1439359)Time elapsed: 0.533 s
% 34.58/9.18 % (1439359)Peak memory usage: 95 MB
% 34.58/9.18 % (1439359)Instructions burned: 500 (million)
% 34.58/9.18 % (1439364)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=428915279:i=264:kws=precedence:fsr=off_2973 on theBenchmark for (2973ds/264Mi)
% 34.58/9.18 % (1439365)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1779186575:cond=on:i=156:bs=on:gtg=exists_all:er=known_2972 on theBenchmark for (2972ds/156Mi)
% 34.58/9.18 % (1439365)Instruction limit reached!
% 34.58/9.18 % (1439365)------------------------------
% 34.58/9.18 % (1439365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439365)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439365)Termination reason: Instruction limit
% 34.58/9.18 % (1439365)Termination phase: Saturation
% 34.58/9.18 % (1439365)Time elapsed: 0.157 s
% 34.58/9.18 % (1439365)Peak memory usage: 89 MB
% 34.58/9.18 % (1439365)Instructions burned: 156 (million)
% 34.58/9.18 % (1439364)Instruction limit reached!
% 34.58/9.18 % (1439364)------------------------------
% 34.58/9.18 % (1439364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439364)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439364)Termination reason: Instruction limit
% 34.58/9.18 % (1439364)Termination phase: Saturation
% 34.58/9.18 % (1439364)Time elapsed: 0.271 s
% 34.58/9.18 % (1439364)Peak memory usage: 92 MB
% 34.58/9.18 % (1439364)Instructions burned: 264 (million)
% 34.58/9.18 % (1439368)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=405078411:i=3256:kws=precedence:bd=preordered:av=off_2968 on theBenchmark for (2968ds/3256Mi)
% 34.58/9.18 % (1439369)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1849836841:i=537:av=off:ss=included_2968 on theBenchmark for (2968ds/537Mi)
% 34.58/9.18 % (1439369)Instruction limit reached!
% 34.58/9.18 % (1439369)------------------------------
% 34.58/9.18 % (1439369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439369)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439369)Termination reason: Instruction limit
% 34.58/9.18 % (1439369)Termination phase: Saturation
% 34.58/9.18 % (1439369)Time elapsed: 0.510 s
% 34.58/9.18 % (1439369)Peak memory usage: 93 MB
% 34.58/9.18 % (1439369)Instructions burned: 537 (million)
% 34.58/9.18 % (1439372)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2852441511:i=180:bd=preordered:av=off_2960 on theBenchmark for (2960ds/180Mi)
% 34.58/9.18 % (1439372)Instruction limit reached!
% 34.58/9.18 % (1439372)------------------------------
% 34.58/9.18 % (1439372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439372)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439372)Termination reason: Instruction limit
% 34.58/9.18 % (1439372)Termination phase: Saturation
% 34.58/9.18 % (1439372)Time elapsed: 0.173 s
% 34.58/9.18 % (1439372)Peak memory usage: 88 MB
% 34.58/9.18 % (1439372)Instructions burned: 180 (million)
% 34.58/9.18 % (1439374)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=3666626282:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2956 on theBenchmark for (2956ds/10307Mi)
% 34.58/9.18 % (1439346)Instruction limit reached!
% 34.58/9.18 % (1439346)------------------------------
% 34.58/9.18 % (1439346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439346)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439346)Termination reason: Instruction limit
% 34.58/9.18 % (1439346)Termination phase: Saturation
% 34.58/9.18 % (1439346)Time elapsed: 3.577 s
% 34.58/9.18 % (1439346)Peak memory usage: 149 MB
% 34.58/9.18 % (1439346)Instructions burned: 3394 (million)
% 34.58/9.18 % (1439376)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=3065740038:i=412:gtgl=4:gtg=exists_all_2951 on theBenchmark for (2951ds/412Mi)
% 34.58/9.18 % (1439376)Instruction limit reached!
% 34.58/9.18 % (1439376)------------------------------
% 34.58/9.18 % (1439376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439376)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439376)Termination reason: Instruction limit
% 34.58/9.18 % (1439376)Termination phase: Saturation
% 34.58/9.18 % (1439376)Time elapsed: 0.414 s
% 34.58/9.18 % (1439376)Peak memory usage: 94 MB
% 34.58/9.18 % (1439376)Instructions burned: 413 (million)
% 34.58/9.18 % (1439378)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=2972810613:s2pl=no:i=8478:s2at=4:nm=6_2945 on theBenchmark for (2945ds/8478Mi)
% 34.58/9.18 % (1439368)Instruction limit reached!
% 34.58/9.18 % (1439368)------------------------------
% 34.58/9.18 % (1439368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439368)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439368)Termination reason: Instruction limit
% 34.58/9.18 % (1439368)Termination phase: Saturation
% 34.58/9.18 % (1439368)Time elapsed: 3.491 s
% 34.58/9.18 % (1439368)Peak memory usage: 150 MB
% 34.58/9.18 % (1439368)Instructions burned: 3257 (million)
% 34.58/9.18 % (1439354)Instruction limit reached!
% 34.58/9.18 % (1439354)------------------------------
% 34.58/9.18 % (1439354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439354)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439354)Termination reason: Instruction limit
% 34.58/9.18 % (1439354)Termination phase: Saturation
% 34.58/9.18 % (1439354)Time elapsed: 5.412 s
% 34.58/9.18 % (1439354)Peak memory usage: 168 MB
% 34.58/9.18 % (1439354)Instructions burned: 5209 (million)
% 34.58/9.18 % (1439380)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=2703336439:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2930 on theBenchmark for (2930ds/303Mi)
% 34.58/9.18 % (1439380)Refutation not found, incomplete strategy
% 34.58/9.18 % (1439380)------------------------------
% 34.58/9.18 % (1439380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439380)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439380)Termination reason: Refutation not found, incomplete strategy
% 34.58/9.18 % (1439380)Time elapsed: 0.003 s
% 34.58/9.18 % (1439380)Peak memory usage: 88 MB
% 34.58/9.18 % (1439380)Instructions burned: 1 (million)
% 34.58/9.18 % (1439381)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=1208208061:st=4:i=720:sd=3:fsr=off:ss=axioms_2929 on theBenchmark for (2929ds/720Mi)
% 34.58/9.18 % (1439381)Refutation not found, incomplete strategy
% 34.58/9.18 % (1439381)------------------------------
% 34.58/9.18 % (1439381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.58/9.18 % (1439381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.58/9.18 % (1439381)CaDiCaL version: 2.1.3
% 34.58/9.18 % (1439381)Termination reason: Refutation not found, incomplete strategy
% 34.58/9.18 % (1439381)Time elapsed: 0.002 s
% 34.58/9.18 % (1439381)Peak memory usage: 88 MB
% 34.58/9.18 % (1439324)First to succeed.
% 34.58/9.18 % (1439324)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1439317"
% 34.58/9.18 % (1439380)------------------------------
% 34.58/9.18 % (1439380)------------------------------
% 34.58/9.18 % (1439381)------------------------------
% 34.58/9.18 % (1439381)------------------------------
% 34.58/9.18 % (1439384)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3701284780:i=598:bs=on:bd=preordered:av=off:ss=axioms_2924 on theBenchmark for (2924ds/598Mi)
% 34.58/9.18 % (1439324)Refutation found. Thanks to Tanya!
% 34.58/9.18 % SZS status Unsatisfiable for theBenchmark
% 34.58/9.18 % SZS output start Proof for theBenchmark
% See solution above
% 56.68/9.47 % (1439324)------------------------------
% 56.68/9.47 % (1439324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 56.68/9.47 % (1439324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 56.68/9.47 % (1439324)CaDiCaL version: 2.1.3
% 56.68/9.47 % (1439324)Termination reason: Refutation
% 56.68/9.47 % (1439324)Time elapsed: 7.177 s
% 56.68/9.47 % (1439324)Peak memory usage: 172 MB
% 56.68/9.47 % (1439324)Instructions burned: 6621 (million)
% 56.68/9.47 % (1439324)------------------------------
% 56.68/9.47 % (1439324)------------------------------
% 56.68/9.47 % (1439317)Success in time 7.864 s
% 56.68/9.47 % Vampire exiting
%------------------------------------------------------------------------------