%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT197-1 : 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 : 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 11:46:13 AM UTC 2026
% Result : Unsatisfiable 23.83s 4.19s
% Output : Refutation 24.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 62
% Number of leaves : 16
% Syntax : Number of formulae : 303 ( 296 unt; 5 def)
% Number of atoms : 313 ( 312 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 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 : 669 ( 669 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
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(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H40) ).
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(f50,plain,
! [X0] : meet(c,meet(a,X0)) = meet(sF3,X0),
inference(superposition,[],[f7,f26]) ).
fof(f70,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f34,f32]) ).
fof(f72,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f70,f5]) ).
fof(f95,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f96,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f32]) ).
fof(f108,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f116,plain,
sF3 = meet(sF3,sF4),
inference(superposition,[],[f34,f23]) ).
fof(f134,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X2,join(X1,X3)))) = meet(X1,join(X0,meet(X2,join(X3,meet(X2,join(X0,X1)))))),
inference(superposition,[],[f12,f6]) ).
fof(f142,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(join(X0,X1),X2))))),
inference(superposition,[],[f12,f5]) ).
fof(f147,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,X3)))) = meet(X1,join(X2,meet(X0,join(meet(X0,join(X1,X2)),X3)))),
inference(superposition,[],[f12,f6]) ).
fof(f180,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f181,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f182,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,meet(X1,one))))),
inference(superposition,[],[f12,f9]) ).
fof(f184,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f186,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,X1)))),
inference(backward_demodulation,[],[f182,f180]) ).
fof(f187,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(X0,X2)))) = meet(X0,join(complement(X0),X1)),
inference(forward_demodulation,[],[f186,f34]) ).
fof(f190,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f7,f10]) ).
fof(f191,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f192,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f198,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f191]) ).
fof(f201,plain,
! [X2,X0,X1] : meet(X0,join(zero,meet(X1,join(X0,X2)))) = meet(X0,join(zero,meet(X1,join(X2,meet(X1,X0))))),
inference(superposition,[],[f12,f191]) ).
fof(f202,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f34,f191]) ).
fof(f204,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f190,f202]) ).
fof(f205,plain,
! [X2,X0,X1] : meet(X0,join(zero,meet(X1,join(X0,X2)))) = meet(X0,meet(X1,join(X2,meet(X1,X0)))),
inference(backward_demodulation,[],[f201,f198]) ).
fof(f206,plain,
! [X2,X0,X1] : meet(X0,meet(X1,join(X2,meet(X1,X0)))) = meet(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f205,f198]) ).
fof(f220,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f32,f198]) ).
fof(f221,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,zero)))) = meet(X1,join(X2,meet(X0,meet(X0,join(X1,X2))))),
inference(superposition,[],[f12,f198]) ).
fof(f225,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,join(X1,zero)))) = meet(X1,join(X2,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f221,f39]) ).
fof(f231,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X0,X1))) = meet(X1,join(X2,meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f225,f191]) ).
fof(f261,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f32,f180]) ).
fof(f264,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f180]) ).
fof(f267,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f181,f261]) ).
fof(f280,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f34,f264]) ).
fof(f284,plain,
zero = complement(one),
inference(superposition,[],[f10,f264]) ).
fof(f362,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f43,f5]) ).
fof(f367,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f43,f10]) ).
fof(f383,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f367,f220]) ).
fof(f388,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X1,X0)))),
inference(backward_demodulation,[],[f206,f362]) ).
fof(f402,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X1,X0))),
inference(superposition,[],[f187,f191]) ).
fof(f406,plain,
! [X0] : meet(b,join(complement(b),X0)) = meet(b,join(complement(b),meet(X0,sF0))),
inference(superposition,[],[f187,f15]) ).
fof(f454,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(superposition,[],[f402,f5]) ).
fof(f523,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,meet(X0,join(X1,X2))),
inference(superposition,[],[f44,f5]) ).
fof(f595,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f95,f6]) ).
fof(f599,plain,
! [X0,X1] : join(X0,one) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f95,f9]) ).
fof(f622,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f599,f280]) ).
fof(f1152,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X1,join(complement(X0),X2)))) = meet(complement(X0),join(X0,meet(X1,join(X2,meet(X1,one))))),
inference(superposition,[],[f134,f9]) ).
fof(f1262,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X1,join(complement(X0),X2)))) = meet(complement(X0),join(X0,meet(X1,join(X2,X1)))),
inference(forward_demodulation,[],[f1152,f180]) ).
fof(f1296,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X0,meet(X1,join(complement(X0),X2)))),
inference(forward_demodulation,[],[f1262,f34]) ).
fof(f1364,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f454,f192]) ).
fof(f1375,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(superposition,[],[f454,f383]) ).
fof(f1437,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(join(X0,X1)))) = meet(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f1375,f6]) ).
fof(f1446,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))) = meet(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f1364,f6]) ).
fof(f1461,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1437,f198]) ).
fof(f1466,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1446,f198]) ).
fof(f1473,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1461,f10]) ).
fof(f1477,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1466,f10]) ).
fof(f1586,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,one))) = meet(X0,join(X1,meet(X2,join(X0,complement(meet(X2,join(X0,X1))))))),
inference(superposition,[],[f147,f9]) ).
fof(f1592,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X4,meet(X3,join(X0,meet(X0,join(X1,X2)))))))))) = meet(X1,join(X2,meet(X0,join(meet(X0,join(X1,X2)),meet(X3,join(X0,X4)))))),
inference(superposition,[],[f147,f12]) ).
fof(f1659,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X4,meet(X3,join(X0,meet(X0,join(X1,X2)))))))))) = meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X0,X4)))))),
inference(forward_demodulation,[],[f1592,f147]) ).
fof(f1664,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X2,join(X0,complement(meet(X2,join(X0,X1))))))),
inference(forward_demodulation,[],[f1586,f180]) ).
fof(f1699,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X0,X4)))))) = meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X4,meet(X3,X0))))))),
inference(forward_demodulation,[],[f1659,f4]) ).
fof(f1762,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X0,meet(X1,complement(X0)))),
inference(superposition,[],[f1296,f191]) ).
fof(f1992,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(join(X0,X1),join(X0,X2)),
inference(superposition,[],[f96,f3]) ).
fof(f2083,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f1992,f108]) ).
fof(f2105,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,join(X0,X1))),
inference(forward_demodulation,[],[f2083,f8]) ).
fof(f3963,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X1,X0),meet(X2,join(X0,X3)))) = meet(X0,join(meet(X1,X0),meet(X2,join(X3,meet(X0,X2))))),
inference(superposition,[],[f142,f32]) ).
fof(f3996,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(meet(join(X0,X1),X2),join(X0,X3)))) = meet(X0,join(X1,meet(meet(join(X0,X1),X2),join(X3,meet(join(X0,X1),X2))))),
inference(superposition,[],[f142,f39]) ).
fof(f4021,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,meet(join(X0,X1),X2)))) = meet(X0,join(X1,meet(X2,join(X0,zero)))),
inference(superposition,[],[f142,f198]) ).
fof(f4109,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(X2,meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f4021,f191]) ).
fof(f4128,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(meet(join(X0,X1),X2),join(X0,X3)))) = meet(X0,join(X1,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f3996,f34]) ).
fof(f4170,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(X1,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f4109,f72]) ).
fof(f4181,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(join(X0,X1),X2))) = meet(X0,join(X1,meet(join(X0,X1),meet(X2,join(X0,X3))))),
inference(forward_demodulation,[],[f4128,f7]) ).
fof(f4218,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(join(X0,X1),X2))) = meet(X0,join(X1,meet(meet(X2,join(X0,X3)),X0))),
inference(forward_demodulation,[],[f4181,f4170]) ).
fof(f4240,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(join(X0,X1),X2))) = meet(X0,join(X1,meet(X0,meet(X2,join(X0,X3))))),
inference(forward_demodulation,[],[f4218,f5]) ).
fof(f4253,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f4240,f362]) ).
fof(f4288,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(join(X0,meet(X1,complement(X0))),meet(complement(X0),join(X0,X1))),
inference(superposition,[],[f32,f1762]) ).
fof(f4310,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(X0,join(meet(X1,complement(X0)),meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f4288,f8]) ).
fof(f5066,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,X0)),meet(X0,X1)),
inference(superposition,[],[f32,f523]) ).
fof(f5111,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X0,X1),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f5066,f6]) ).
fof(f5162,plain,
! [X0,X1] : join(X0,meet(X1,complement(X0))) = join(X0,meet(complement(X0),join(X0,X1))),
inference(backward_demodulation,[],[f4310,f5111]) ).
fof(f5230,plain,
! [X0,X1] : join(X0,meet(join(X1,complement(join(X0,X1))),complement(X0))) = join(X0,meet(complement(X0),one)),
inference(superposition,[],[f5162,f184]) ).
fof(f5345,plain,
! [X0,X1] : join(X0,meet(one,complement(X0))) = join(X0,meet(join(X1,complement(join(X0,X1))),complement(X0))),
inference(forward_demodulation,[],[f5230,f5]) ).
fof(f5383,plain,
! [X0,X1] : join(X0,meet(one,complement(X0))) = join(X0,meet(complement(X0),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f5345,f5]) ).
fof(f5405,plain,
! [X0,X1] : join(X0,complement(X0)) = join(X0,meet(complement(X0),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f5383,f264]) ).
fof(f5419,plain,
! [X0,X1] : one = join(X0,meet(complement(X0),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f5405,f9]) ).
fof(f6273,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(superposition,[],[f11,f267]) ).
fof(f6282,plain,
! [X2,X3,X0,X1] : meet(X0,join(join(complement(X0),X1),meet(X2,join(X0,X3)))) = meet(X0,join(join(complement(X0),X1),meet(X2,join(meet(X2,one),X3)))),
inference(superposition,[],[f147,f267]) ).
fof(f6285,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),X1),meet(X2,X0))) = meet(X0,join(join(complement(X0),X1),meet(X2,one))),
inference(superposition,[],[f231,f267]) ).
fof(f6306,plain,
! [X0,X1] :
( zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(trivial_inequality_removal,[],[f6273]) ).
fof(f6324,plain,
! [X2,X0,X1] : meet(X0,join(join(complement(X0),X1),meet(X2,X0))) = meet(X0,join(complement(X0),join(X1,meet(X2,one)))),
inference(forward_demodulation,[],[f6285,f8]) ).
fof(f6326,plain,
! [X2,X3,X0,X1] : meet(X0,join(join(complement(X0),X1),meet(X2,join(X0,X3)))) = meet(X0,join(complement(X0),join(X1,meet(X2,join(meet(X2,one),X3))))),
inference(forward_demodulation,[],[f6282,f8]) ).
fof(f6348,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(join(complement(X0),X1),meet(X2,X0))),
inference(forward_demodulation,[],[f6324,f180]) ).
fof(f6349,plain,
! [X2,X3,X0,X1] : meet(X0,join(join(complement(X0),X1),meet(X2,join(X0,X3)))) = meet(X0,join(complement(X0),join(X1,meet(X2,join(X2,X3))))),
inference(forward_demodulation,[],[f6326,f180]) ).
fof(f6365,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(complement(X0),join(X1,meet(X2,X0)))),
inference(forward_demodulation,[],[f6348,f8]) ).
fof(f6366,plain,
! [X2,X3,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(join(complement(X0),X1),meet(X2,join(X0,X3)))),
inference(forward_demodulation,[],[f6349,f3]) ).
fof(f6375,plain,
! [X2,X3,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(complement(X0),join(X1,meet(X2,join(X0,X3))))),
inference(forward_demodulation,[],[f6366,f8]) ).
fof(f6405,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))) ),
inference(superposition,[],[f6306,f1477]) ).
fof(f6407,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),complement(join(X0,X1))) ),
inference(superposition,[],[f6306,f1473]) ).
fof(f6419,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(trivial_inequality_removal,[],[f6407]) ).
fof(f6420,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(trivial_inequality_removal,[],[f6405]) ).
fof(f6669,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(meet(X1,complement(meet(X0,X1))),complement(X0)),
inference(superposition,[],[f34,f6420]) ).
fof(f6699,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f6669,f5]) ).
fof(f6776,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f6419,f6]) ).
fof(f6817,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f34,f6419]) ).
fof(f6846,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f6817,f5]) ).
fof(f6951,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f6776,f4]) ).
fof(f6952,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f6776,f32]) ).
fof(f7047,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f6952,f6]) ).
fof(f7048,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f6951,f6]) ).
fof(f7113,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(X0,complement(meet(X0,join(complement(X0),X1)))))),
inference(superposition,[],[f1664,f7048]) ).
fof(f7114,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(superposition,[],[f3,f7048]) ).
fof(f7129,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(X0),meet(X2,complement(meet(X0,X1)))),
inference(superposition,[],[f362,f7048]) ).
fof(f7143,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),X1),
inference(backward_demodulation,[],[f6699,f7129]) ).
fof(f7210,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(X1),X0),
inference(superposition,[],[f7143,f5]) ).
fof(f7271,plain,
! [X0,X1] : meet(X1,join(complement(X1),complement(meet(X0,X1)))) = meet(X1,join(complement(X1),meet(complement(X0),X1))),
inference(superposition,[],[f454,f7143]) ).
fof(f7278,plain,
! [X2,X0,X1] : meet(X2,complement(meet(X0,join(X1,X2)))) = meet(X2,meet(complement(X0),join(X1,X2))),
inference(superposition,[],[f44,f7143]) ).
fof(f7288,plain,
! [X2,X0,X1] : meet(X2,complement(X0)) = meet(X2,complement(meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f7278,f523]) ).
fof(f7292,plain,
! [X0,X1] : meet(X1,join(complement(X1),complement(meet(X0,X1)))) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f7271,f402]) ).
fof(f7348,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(complement(join(complement(X0),X1)),X0))),
inference(backward_demodulation,[],[f7113,f7210]) ).
fof(f7355,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f7292,f7047]) ).
fof(f7398,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(X0,complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f7348,f5]) ).
fof(f7402,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,join(complement(X1),complement(X0))),
inference(forward_demodulation,[],[f7355,f7143]) ).
fof(f7430,plain,
! [X0] : meet(X0,one) = meet(complement(complement(X0)),X0),
inference(superposition,[],[f7402,f9]) ).
fof(f7431,plain,
! [X0,X1] : meet(X0,one) = meet(complement(meet(complement(X0),X1)),X0),
inference(superposition,[],[f7402,f622]) ).
fof(f7435,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,join(complement(X0),complement(X1))),
inference(superposition,[],[f7402,f6]) ).
fof(f7500,plain,
! [X0,X1] : meet(X0,one) = meet(X0,complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f7431,f5]) ).
fof(f7501,plain,
! [X0] : meet(X0,one) = meet(X0,complement(complement(X0))),
inference(forward_demodulation,[],[f7430,f5]) ).
fof(f7518,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = X0,
inference(forward_demodulation,[],[f7500,f180]) ).
fof(f7519,plain,
! [X0] : meet(X0,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f7501,f180]) ).
fof(f7552,plain,
! [X2,X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(meet(X1,join(X2,meet(X1,X0)))),X0),
inference(superposition,[],[f7210,f388]) ).
fof(f7574,plain,
! [X0,X1] : meet(X1,complement(meet(complement(X0),X1))) = meet(complement(complement(meet(X1,X0))),X1),
inference(superposition,[],[f7210,f7210]) ).
fof(f7658,plain,
! [X0,X1] : meet(X1,complement(meet(complement(X0),X1))) = meet(X1,complement(complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f7574,f5]) ).
fof(f7679,plain,
! [X2,X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(meet(X1,join(X2,meet(X1,X0))))),
inference(forward_demodulation,[],[f7552,f5]) ).
fof(f7704,plain,
! [X0,X1] : meet(complement(complement(X0)),X1) = meet(X1,complement(complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f7658,f7143]) ).
fof(f7725,plain,
! [X2,X0,X1] : meet(complement(X1),X0) = meet(X0,complement(meet(X1,join(X2,meet(X1,X0))))),
inference(forward_demodulation,[],[f7679,f7210]) ).
fof(f7793,plain,
! [X0] : complement(complement(X0)) = join(complement(complement(X0)),X0),
inference(superposition,[],[f32,f7519]) ).
fof(f7828,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(forward_demodulation,[],[f7793,f6]) ).
fof(f7989,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(complement(meet(complement(X0),X1)),X0),
inference(superposition,[],[f32,f7518]) ).
fof(f8023,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f7989,f6]) ).
fof(f8182,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(X1,complement(meet(X0,complement(X1)))),
inference(superposition,[],[f8023,f72]) ).
fof(f8217,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(complement(X0),complement(meet(complement(X0),join(X0,X1)))))),
inference(superposition,[],[f1664,f8023]) ).
fof(f8246,plain,
! [X0,X1] : complement(complement(meet(complement(X0),X1))) = meet(complement(X0),complement(complement(meet(complement(X0),X1)))),
inference(superposition,[],[f6846,f8023]) ).
fof(f8259,plain,
! [X0,X1] : complement(complement(meet(complement(X0),X1))) = meet(complement(complement(X1)),complement(X0)),
inference(forward_demodulation,[],[f8246,f7704]) ).
fof(f8265,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(complement(join(X0,X1)),complement(X0)))),
inference(forward_demodulation,[],[f8217,f7210]) ).
fof(f8283,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(complement(X0),complement(join(X0,X1))))),
inference(forward_demodulation,[],[f8265,f5]) ).
fof(f8292,plain,
! [X0,X1] : meet(X0,join(X1,complement(join(X0,X1)))) = meet(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f8283,f6846]) ).
fof(f8303,plain,
! [X2,X0,X1] : meet(X0,join(join(meet(X0,X2),X1),complement(join(X0,X1)))) = meet(X0,join(join(meet(X0,X2),X1),complement(X0))),
inference(superposition,[],[f8292,f95]) ).
fof(f8304,plain,
! [X2,X0,X1] : meet(X0,join(join(meet(X2,X0),X1),complement(join(X0,X1)))) = meet(X0,join(join(meet(X2,X0),X1),complement(X0))),
inference(superposition,[],[f8292,f96]) ).
fof(f8363,plain,
! [X0,X1] : meet(complement(join(X1,complement(join(X0,X1)))),X0) = meet(X0,complement(meet(X0,join(X1,complement(X0))))),
inference(superposition,[],[f7210,f8292]) ).
fof(f8385,plain,
! [X0,X1] : meet(complement(join(X1,complement(join(X0,X1)))),X0) = meet(complement(join(X1,complement(X0))),X0),
inference(forward_demodulation,[],[f8363,f7210]) ).
fof(f8426,plain,
! [X2,X0,X1] : meet(X0,join(join(meet(X2,X0),X1),complement(join(X0,X1)))) = meet(X0,join(complement(X0),join(meet(X2,X0),X1))),
inference(forward_demodulation,[],[f8304,f6]) ).
fof(f8427,plain,
! [X2,X0,X1] : meet(X0,join(join(meet(X0,X2),X1),complement(join(X0,X1)))) = meet(X0,join(complement(X0),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f8303,f6]) ).
fof(f8437,plain,
! [X0,X1] : meet(complement(join(X1,complement(join(X0,X1)))),X0) = meet(X0,complement(join(X1,complement(X0)))),
inference(forward_demodulation,[],[f8385,f5]) ).
fof(f8462,plain,
! [X2,X0,X1] : meet(X0,join(complement(join(X0,X1)),join(meet(X2,X0),X1))) = meet(X0,join(complement(X0),join(meet(X2,X0),X1))),
inference(forward_demodulation,[],[f8426,f6]) ).
fof(f8463,plain,
! [X2,X0,X1] : meet(X0,join(complement(join(X0,X1)),join(meet(X0,X2),X1))) = meet(X0,join(complement(X0),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f8427,f6]) ).
fof(f8469,plain,
! [X0,X1] : meet(X0,complement(join(X1,complement(X0)))) = meet(X0,complement(join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f8437,f5]) ).
fof(f8488,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(complement(join(X0,X1)),meet(X2,X0)))) = meet(X0,join(complement(X0),join(meet(X2,X0),X1))),
inference(forward_demodulation,[],[f8462,f108]) ).
fof(f8489,plain,
! [X2,X0,X1] : meet(X0,join(X1,join(complement(join(X0,X1)),meet(X0,X2)))) = meet(X0,join(complement(X0),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f8463,f108]) ).
fof(f8823,plain,
! [X0,X1] : complement(X1) = meet(complement(X1),complement(meet(X0,X1))),
inference(superposition,[],[f7114,f72]) ).
fof(f10516,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,meet(complement(X0),join(X1,complement(join(X0,X1)))))
| complement(X0) = meet(complement(X0),join(X1,complement(join(X0,X1)))) ),
inference(superposition,[],[f11,f5419]) ).
fof(f10560,plain,
! [X0,X1] :
( zero != meet(X0,meet(complement(X0),join(X1,complement(join(X0,X1)))))
| complement(X0) = meet(complement(X0),join(X1,complement(join(X0,X1)))) ),
inference(trivial_inequality_removal,[],[f10516]) ).
fof(f10597,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_subsumption_resolution,[],[f10560,f204]) ).
fof(f10845,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(join(X1,complement(join(X0,X1))),complement(X0)),
inference(superposition,[],[f32,f10597]) ).
fof(f10851,plain,
! [X2,X0,X1] : join(join(X1,complement(join(X0,X1))),X2) = join(join(X1,complement(join(X0,X1))),join(complement(X0),X2)),
inference(superposition,[],[f96,f10597]) ).
fof(f10861,plain,
! [X0,X1] : complement(join(X1,complement(join(X0,X1)))) = meet(complement(join(X1,complement(join(X0,X1)))),complement(complement(X0))),
inference(superposition,[],[f8823,f10597]) ).
fof(f10862,plain,
! [X0,X1] : complement(join(X1,complement(join(X0,X1)))) = meet(complement(complement(X0)),complement(join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f10861,f5]) ).
fof(f10868,plain,
! [X2,X0,X1] : join(join(X1,complement(join(X0,X1))),X2) = join(complement(X0),join(X2,join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f10851,f108]) ).
fof(f10872,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f10845,f6]) ).
fof(f10913,plain,
! [X0,X1] : complement(join(X1,complement(join(X0,X1)))) = complement(complement(meet(complement(join(X1,complement(join(X0,X1)))),X0))),
inference(forward_demodulation,[],[f10862,f8259]) ).
fof(f10916,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),X2)) = join(complement(X0),join(X2,join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f10868,f8]) ).
fof(f10937,plain,
! [X0,X1] : complement(join(X1,complement(join(X0,X1)))) = complement(complement(meet(X0,complement(join(X1,complement(join(X0,X1))))))),
inference(forward_demodulation,[],[f10913,f5]) ).
fof(f10949,plain,
! [X0,X1] : complement(join(X1,complement(join(X0,X1)))) = complement(complement(meet(X0,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[],[f10937,f8469]) ).
fof(f11618,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(superposition,[],[f595,f6846]) ).
fof(f11753,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),X1),
inference(backward_demodulation,[],[f10872,f11618]) ).
fof(f11784,plain,
! [X0,X1] : meet(X0,complement(join(complement(X0),X1))) = meet(X0,complement(join(X1,complement(X0)))),
inference(backward_demodulation,[],[f8469,f11753]) ).
fof(f11798,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),X2)) = join(complement(X0),join(X2,join(complement(X0),X1))),
inference(backward_demodulation,[],[f10916,f11753]) ).
fof(f11799,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(complement(meet(X0,complement(join(X1,complement(X0)))))),
inference(backward_demodulation,[],[f10949,f11753]) ).
fof(f11821,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),X2)) = join(complement(X0),join(X1,X2)),
inference(forward_demodulation,[],[f11798,f2105]) ).
fof(f11836,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,meet(X2,X0)))) = meet(X0,join(complement(X0),join(meet(X2,X0),X1))),
inference(backward_demodulation,[],[f8488,f11821]) ).
fof(f11839,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(meet(X0,X2),X1))) = meet(X0,join(complement(X0),join(X1,meet(X0,X2)))),
inference(backward_demodulation,[],[f8489,f11821]) ).
fof(f11844,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(complement(X0),join(meet(X2,X0),X1))),
inference(forward_demodulation,[],[f11836,f6365]) ).
fof(f11862,plain,
! [X0,X1] : join(complement(X1),X0) = join(X0,complement(join(X0,X1))),
inference(superposition,[],[f11753,f6]) ).
fof(f11947,plain,
! [X0,X1] : meet(X1,join(complement(X0),complement(X1))) = meet(complement(join(X0,complement(X1))),X1),
inference(superposition,[],[f7402,f11753]) ).
fof(f11960,plain,
! [X0,X1] : meet(X1,join(complement(X0),complement(X1))) = meet(X1,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f11947,f5]) ).
fof(f12064,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[],[f11960,f7435]) ).
fof(f12108,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(X0,complement(join(complement(X0),X1))),
inference(backward_demodulation,[],[f11784,f12064]) ).
fof(f12109,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = complement(complement(meet(complement(X1),X0))),
inference(backward_demodulation,[],[f11799,f12064]) ).
fof(f12138,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(complement(X1),X0))),
inference(backward_demodulation,[],[f7398,f12108]) ).
fof(f12179,plain,
! [X0,X1] : join(X0,complement(join(X0,meet(X1,complement(X0))))) = join(complement(meet(complement(X0),join(X0,X1))),X0),
inference(superposition,[],[f11862,f5162]) ).
fof(f12187,plain,
! [X0] : join(complement(complement(X0)),X0) = join(X0,complement(one)),
inference(superposition,[],[f11862,f9]) ).
fof(f12312,plain,
! [X0] : join(X0,zero) = join(complement(complement(X0)),X0),
inference(forward_demodulation,[],[f12187,f284]) ).
fof(f12319,plain,
! [X0,X1] : join(X0,complement(meet(complement(X0),join(X0,X1)))) = join(X0,complement(join(X0,meet(X1,complement(X0))))),
inference(forward_demodulation,[],[f12179,f6]) ).
fof(f12355,plain,
! [X0] : join(X0,zero) = join(X0,complement(complement(X0))),
inference(forward_demodulation,[],[f12312,f6]) ).
fof(f12360,plain,
! [X0,X1] : join(X0,complement(meet(complement(X0),join(X0,X1)))) = join(complement(meet(X1,complement(X0))),X0),
inference(forward_demodulation,[],[f12319,f11862]) ).
fof(f12381,plain,
! [X0] : join(X0,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f12355,f191]) ).
fof(f12383,plain,
! [X0,X1] : join(X0,complement(meet(X1,complement(X0)))) = join(X0,complement(meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f12360,f6]) ).
fof(f12439,plain,
! [X0] : complement(complement(X0)) = X0,
inference(backward_demodulation,[],[f7828,f12381]) ).
fof(f12446,plain,
! [X0,X1] : complement(meet(complement(X0),join(X0,X1))) = join(X0,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f12383,f8023]) ).
fof(f12554,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(backward_demodulation,[],[f12109,f12439]) ).
fof(f12575,plain,
! [X0,X1] : complement(meet(complement(X0),join(X0,X1))) = complement(meet(X1,complement(X0))),
inference(forward_demodulation,[],[f12446,f8182]) ).
fof(f12964,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),X0)),
inference(superposition,[],[f7402,f12439]) ).
fof(f13102,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,meet(X0,X2)))) = meet(join(meet(X0,X2),X1),X0),
inference(backward_demodulation,[],[f11839,f12964]) ).
fof(f13103,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(join(meet(X2,X0),X1),X0),
inference(backward_demodulation,[],[f11844,f12964]) ).
fof(f13105,plain,
! [X2,X3,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(join(X1,meet(X2,join(X0,X3))),X0),
inference(backward_demodulation,[],[f6375,f12964]) ).
fof(f13111,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(join(X1,meet(X2,X0)),X0),
inference(backward_demodulation,[],[f6365,f12964]) ).
fof(f13120,plain,
! [X0] : meet(b,join(complement(b),meet(X0,sF0))) = meet(X0,b),
inference(backward_demodulation,[],[f406,f12964]) ).
fof(f13194,plain,
! [X0] : meet(X0,b) = meet(meet(X0,sF0),b),
inference(forward_demodulation,[],[f13120,f12964]) ).
fof(f13200,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(X0,join(complement(X0),join(X1,X2))),
inference(forward_demodulation,[],[f13111,f5]) ).
fof(f13206,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(X0,join(complement(X0),join(X1,X2))),
inference(forward_demodulation,[],[f13105,f5]) ).
fof(f13208,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),join(X1,X2))) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f13103,f5]) ).
fof(f13209,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = meet(X0,join(complement(X0),join(X1,meet(X0,X2)))),
inference(forward_demodulation,[],[f13102,f5]) ).
fof(f13296,plain,
! [X0] : meet(X0,b) = meet(b,meet(X0,sF0)),
inference(forward_demodulation,[],[f13194,f5]) ).
fof(f13300,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,X0))) = meet(join(X1,X2),X0),
inference(forward_demodulation,[],[f13200,f12964]) ).
fof(f13307,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X0,X3)))) = meet(join(X1,X2),X0),
inference(forward_demodulation,[],[f13206,f12964]) ).
fof(f13309,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f13208,f12964]) ).
fof(f13310,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = meet(join(X1,meet(X0,X2)),X0),
inference(forward_demodulation,[],[f13209,f12964]) ).
fof(f13384,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X1,X0),meet(X2,join(X0,X3)))) = meet(X0,join(meet(X1,X0),meet(join(X3,X0),X2))),
inference(backward_demodulation,[],[f3963,f13300]) ).
fof(f13386,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = meet(X0,join(X1,meet(join(X0,X1),X2))),
inference(backward_demodulation,[],[f4170,f13300]) ).
fof(f13511,plain,
! [X2,X3,X0,X1,X4] : meet(X1,join(X2,meet(X0,join(X1,meet(X3,join(X4,meet(X3,X0))))))) = meet(X1,join(X2,meet(join(X1,X3),X0))),
inference(backward_demodulation,[],[f1699,f13307]) ).
fof(f13689,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f13310,f5]) ).
fof(f13783,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(join(X1,X2),X0),
inference(backward_demodulation,[],[f4253,f13386]) ).
fof(f13785,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X1,X0),meet(X2,join(X0,X3)))) = meet(join(meet(join(X3,X0),X2),X1),X0),
inference(forward_demodulation,[],[f13384,f13309]) ).
fof(f13891,plain,
! [X2,X3,X0,X1] : meet(join(X2,X0),X1) = meet(X1,join(X2,meet(join(X1,X3),X0))),
inference(forward_demodulation,[],[f13511,f13307]) ).
fof(f13995,plain,
! [X2,X0,X1] : meet(complement(X1),X0) = meet(X0,complement(meet(join(X2,X0),X1))),
inference(backward_demodulation,[],[f7725,f13783]) ).
fof(f14000,plain,
! [X2,X0,X1] : meet(join(X1,X2),X0) = meet(X0,join(meet(X0,X2),X1)),
inference(backward_demodulation,[],[f13689,f13783]) ).
fof(f14060,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X1,X0),meet(X2,join(X0,X3)))) = meet(X0,join(meet(join(X3,X0),X2),X1)),
inference(forward_demodulation,[],[f13785,f5]) ).
fof(f14253,plain,
! [X2,X3,X0,X1] : meet(join(meet(X1,X0),X2),X0) = meet(X0,join(meet(join(X3,X0),X2),X1)),
inference(forward_demodulation,[],[f14060,f13307]) ).
fof(f14345,plain,
! [X2,X3,X0,X1] : meet(X0,join(meet(X1,X0),X2)) = meet(X0,join(meet(join(X3,X0),X2),X1)),
inference(forward_demodulation,[],[f14253,f5]) ).
fof(f14417,plain,
! [X2,X3,X0,X1] : meet(join(X2,X1),X0) = meet(X0,join(meet(join(X3,X0),X2),X1)),
inference(forward_demodulation,[],[f14345,f13309]) ).
fof(f15251,plain,
! [X2,X0,X1] : meet(X1,join(X0,zero)) = meet(join(X0,complement(join(X1,X2))),X1),
inference(superposition,[],[f13891,f10]) ).
fof(f15357,plain,
! [X2,X0,X1] : meet(X1,join(X0,zero)) = meet(X1,join(X0,complement(join(X1,X2)))),
inference(forward_demodulation,[],[f15251,f5]) ).
fof(f15448,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X1,X2)))),
inference(forward_demodulation,[],[f15357,f191]) ).
fof(f15586,plain,
! [X2,X0,X1] : meet(complement(X1),X2) = meet(complement(X1),join(X2,complement(complement(meet(X0,X1))))),
inference(superposition,[],[f15448,f7047]) ).
fof(f15679,plain,
! [X2,X0,X1] : meet(complement(X1),X2) = meet(complement(X1),join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f15586,f12439]) ).
fof(f15706,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X1,X0)),
inference(backward_demodulation,[],[f12138,f15679]) ).
fof(f15732,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f15706,f6]) ).
fof(f15863,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = complement(meet(complement(X0),X1)),
inference(backward_demodulation,[],[f12575,f15732]) ).
fof(f16929,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f12439,f12554]) ).
fof(f16961,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(X1,complement(X0))),
inference(backward_demodulation,[],[f15863,f16929]) ).
fof(f18342,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(join(X0,b),a),
inference(superposition,[],[f13309,f25]) ).
fof(f18477,plain,
! [X0] : meet(a,join(sF2,X0)) = meet(a,join(X0,b)),
inference(forward_demodulation,[],[f18342,f5]) ).
fof(f19287,plain,
! [X2,X3,X0,X1] : meet(X3,complement(meet(join(X0,X1),join(X2,X3)))) = meet(complement(join(meet(join(X2,X3),X1),X0)),X3),
inference(superposition,[],[f13995,f14000]) ).
fof(f19308,plain,
! [X2,X3,X0,X1] : meet(X3,complement(meet(join(X0,X1),join(X2,X3)))) = meet(X3,complement(join(meet(join(X2,X3),X1),X0))),
inference(forward_demodulation,[],[f19287,f5]) ).
fof(f19412,plain,
! [X2,X3,X0,X1] : meet(X3,complement(join(X0,X1))) = meet(X3,complement(join(meet(join(X2,X3),X1),X0))),
inference(forward_demodulation,[],[f19308,f7288]) ).
fof(f20091,plain,
meet(a,b) = meet(b,sF1),
inference(superposition,[],[f13296,f17]) ).
fof(f20149,plain,
meet(b,a) = meet(b,sF1),
inference(forward_demodulation,[],[f20091,f5]) ).
fof(f20167,plain,
sF2 = meet(b,sF1),
inference(forward_demodulation,[],[f20149,f25]) ).
fof(f21560,plain,
! [X0] : meet(join(X0,c),a) = meet(a,join(X0,sF3)),
inference(superposition,[],[f13300,f26]) ).
fof(f21698,plain,
! [X0] : meet(a,join(X0,c)) = meet(a,join(X0,sF3)),
inference(forward_demodulation,[],[f21560,f5]) ).
fof(f22562,plain,
! [X0] : join(sF1,X0) = join(sF1,join(sF2,X0)),
inference(superposition,[],[f96,f20167]) ).
fof(f25680,plain,
! [X2,X3,X0,X1] : meet(X2,complement(meet(join(X0,X1),X2))) = meet(complement(join(meet(join(X3,X2),X0),X1)),X2),
inference(superposition,[],[f7210,f14417]) ).
fof(f25736,plain,
! [X2,X3,X0,X1] : meet(X2,complement(meet(join(X0,X1),X2))) = meet(X2,complement(join(meet(join(X3,X2),X0),X1))),
inference(forward_demodulation,[],[f25680,f5]) ).
fof(f25867,plain,
! [X2,X0,X1] : meet(X2,complement(meet(join(X0,X1),X2))) = meet(X2,complement(join(X1,X0))),
inference(forward_demodulation,[],[f25736,f19412]) ).
fof(f25966,plain,
! [X2,X0,X1] : meet(complement(join(X0,X1)),X2) = meet(X2,complement(join(X1,X0))),
inference(forward_demodulation,[],[f25867,f7143]) ).
fof(f26223,plain,
! [X2,X0,X1] : join(complement(X2),join(X1,X0)) = complement(meet(complement(join(X0,X1)),X2)),
inference(superposition,[],[f16961,f25966]) ).
fof(f26293,plain,
! [X2,X0,X1] : join(complement(X2),join(X0,X1)) = join(complement(X2),join(X1,X0)),
inference(forward_demodulation,[],[f26223,f16929]) ).
fof(f26800,plain,
! [X2,X0,X1] : meet(complement(complement(X0)),join(X2,X1)) = meet(complement(complement(X0)),join(complement(X0),join(X1,X2))),
inference(superposition,[],[f15732,f26293]) ).
fof(f26815,plain,
! [X2,X0,X1] : meet(complement(complement(X0)),join(X2,X1)) = meet(complement(complement(X0)),join(X1,X2)),
inference(forward_demodulation,[],[f26800,f15732]) ).
fof(f26872,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f26815,f12439]) ).
fof(f33433,plain,
meet(a,join(sF3,b)) = meet(a,sF4),
inference(superposition,[],[f18477,f23]) ).
fof(f33578,plain,
meet(a,sF4) = meet(a,join(b,sF3)),
inference(forward_demodulation,[],[f33433,f26872]) ).
fof(f33631,plain,
meet(a,join(b,c)) = meet(a,sF4),
inference(forward_demodulation,[],[f33578,f21698]) ).
fof(f33665,plain,
meet(a,sF0) = meet(a,sF4),
inference(forward_demodulation,[],[f33631,f15]) ).
fof(f33680,plain,
sF1 = meet(a,sF4),
inference(forward_demodulation,[],[f33665,f17]) ).
fof(f33683,plain,
meet(sF3,sF4) = meet(c,sF1),
inference(superposition,[],[f50,f33680]) ).
fof(f33686,plain,
sF4 = join(sF4,sF1),
inference(superposition,[],[f32,f33680]) ).
fof(f33723,plain,
sF4 = join(sF1,sF4),
inference(forward_demodulation,[],[f33686,f6]) ).
fof(f33724,plain,
sF3 = meet(c,sF1),
inference(forward_demodulation,[],[f33683,f116]) ).
fof(f33840,plain,
sF1 = join(sF1,sF3),
inference(superposition,[],[f32,f33724]) ).
fof(f39979,plain,
join(sF1,sF4) = join(sF1,sF3),
inference(superposition,[],[f22562,f23]) ).
fof(f40121,plain,
sF1 = join(sF1,sF4),
inference(forward_demodulation,[],[f39979,f33840]) ).
fof(f40148,plain,
sF1 = sF4,
inference(backward_demodulation,[],[f33723,f40121]) ).
fof(f40154,plain,
$false,
inference(forward_subsumption_resolution,[],[f40148,f24]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT197-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.42 % Computer : n007.cluster.edu
% 0.15/0.42 % Model : x86_64 x86_64
% 0.15/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.42 % Memory : 8046.5625MB
% 0.15/0.42 % OS : Linux 6.8.0-71-generic
% 0.15/0.42 % CPULimit : 300
% 0.15/0.42 % WCLimit : 300
% 0.15/0.42 % DateTime : Sun Sep 27 14:03:40 UTC 2026
% 0.15/0.43 % CPUTime :
% 0.15/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.15/0.49 Running first-order theorem proving
% 0.15/0.49 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
% 18.42/3.42 % (1437009)Input is clausal, will run a generic CNF schedule.
% 18.42/3.42 % (1437021)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1373000600:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_3000 on theBenchmark for (3000ds/137899Mi)
% 18.42/3.42 % (1437019)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=1019973399:i=140167_3000 on theBenchmark for (3000ds/140167Mi)
% 18.42/3.42 % (1437023)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2587791715:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_3000 on theBenchmark for (3000ds/114Mi)
% 18.42/3.42 % (1437025)dis-21_1_sil=8000:lcm=predicate:random_seed=1133380434:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_3000 on theBenchmark for (3000ds/117Mi)
% 18.42/3.42 % (1437020)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1489061284:i=132376:av=off_3000 on theBenchmark for (3000ds/132376Mi)
% 18.42/3.42 % (1437024)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1640217892:s2a=on:i=180:gtg=position_3000 on theBenchmark for (3000ds/180Mi)
% 18.42/3.42 % (1437022)lrs+10_1_sil=8000:sp=occurrence:random_seed=1519968693:i=107:sd=3:ss=axioms:sgt=8_3000 on theBenchmark for (3000ds/107Mi)
% 18.42/3.42 % (1437025)Refutation not found, incomplete strategy
% 18.42/3.42 % (1437025)------------------------------
% 18.42/3.42 % (1437025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.42 % (1437025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.42 % (1437025)CaDiCaL version: 2.1.3
% 18.42/3.42 % (1437025)Termination reason: Refutation not found, incomplete strategy
% 18.42/3.42 % (1437025)Time elapsed: 0.003 s
% 18.42/3.42 % (1437025)Peak memory usage: 88 MB
% 18.42/3.42 % (1437025)Instructions burned: 1 (million)
% 18.42/3.42 % (1437022)Instruction limit reached!
% 18.42/3.42 % (1437022)------------------------------
% 18.42/3.42 % (1437022)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.42 % (1437022)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.42 % (1437022)CaDiCaL version: 2.1.3
% 18.42/3.42 % (1437022)Termination reason: Instruction limit
% 18.42/3.42 % (1437022)Termination phase: Saturation
% 18.42/3.42 % (1437022)Time elapsed: 0.102 s
% 18.42/3.42 % (1437022)Peak memory usage: 88 MB
% 18.42/3.42 % (1437022)Instructions burned: 107 (million)
% 18.42/3.42 % (1437023)Instruction limit reached!
% 18.42/3.42 % (1437023)------------------------------
% 18.42/3.42 % (1437023)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.42 % (1437023)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.42 % (1437023)CaDiCaL version: 2.1.3
% 18.42/3.42 % (1437023)Termination reason: Instruction limit
% 18.42/3.42 % (1437023)Termination phase: Saturation
% 18.42/3.42 % (1437023)Time elapsed: 0.111 s
% 18.42/3.42 % (1437023)Peak memory usage: 89 MB
% 18.42/3.42 % (1437023)Instructions burned: 115 (million)
% 18.42/3.42 % (1437024)Instruction limit reached!
% 18.42/3.42 % (1437024)------------------------------
% 18.42/3.42 % (1437024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.42 % (1437024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.42 % (1437024)CaDiCaL version: 2.1.3
% 18.42/3.42 % (1437024)Termination reason: Instruction limit
% 18.42/3.42 % (1437024)Termination phase: Saturation
% 18.42/3.42 % (1437024)Time elapsed: 0.170 s
% 18.42/3.42 % (1437024)Peak memory usage: 89 MB
% 18.42/3.42 % (1437024)Instructions burned: 180 (million)
% 18.42/3.42 % (1437038)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1572232983: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)
% 18.42/3.42 % (1437038)Refutation not found, incomplete strategy
% 18.42/3.42 % (1437038)------------------------------
% 18.42/3.42 % (1437038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.42/3.42 % (1437038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.42/3.42 % (1437038)CaDiCaL version: 2.1.3
% 18.42/3.42 % (1437038)Termination reason: Refutation not found, incomplete strategy
% 18.42/3.42 % (1437038)Time elapsed: 0.002 s
% 18.42/3.42 % (1437038)Peak memory usage: 88 MB
% 18.42/3.42 % (1437038)Instructions burned: 1 (million)
% 23.83/4.19 % (1437037)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=653175187:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 23.83/4.19 % (1437037)Refutation not found, incomplete strategy
% 23.83/4.19 % (1437037)------------------------------
% 23.83/4.19 % (1437037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437037)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437037)Termination reason: Refutation not found, incomplete strategy
% 23.83/4.19 % (1437037)Time elapsed: 0.002 s
% 23.83/4.19 % (1437037)Peak memory usage: 88 MB
% 23.83/4.19 % (1437039)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3019351731:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 23.83/4.19 % (1437039)Refutation not found, incomplete strategy
% 23.83/4.19 % (1437039)------------------------------
% 23.83/4.19 % (1437039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437039)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437039)Termination reason: Refutation not found, incomplete strategy
% 23.83/4.19 % (1437039)Time elapsed: 0.001 s
% 23.83/4.19 % (1437039)Peak memory usage: 87 MB
% 23.83/4.19 % (1437025)------------------------------
% 23.83/4.19 % (1437025)------------------------------
% 23.83/4.19 % (1437043)lrs+10_64_to=lpo:sil=8000:random_seed=2731241266:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 23.83/4.19 % (1437043)Instruction limit reached!
% 23.83/4.19 % (1437043)------------------------------
% 23.83/4.19 % (1437043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437043)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437043)Termination reason: Instruction limit
% 23.83/4.19 % (1437043)Termination phase: Saturation
% 23.83/4.19 % (1437043)Time elapsed: 0.117 s
% 23.83/4.19 % (1437043)Peak memory usage: 88 MB
% 23.83/4.19 % (1437043)Instructions burned: 126 (million)
% 23.83/4.19 % (1437038)------------------------------
% 23.83/4.19 % (1437038)------------------------------
% 23.83/4.19 % (1437037)------------------------------
% 23.83/4.19 % (1437037)------------------------------
% 23.83/4.19 % (1437039)------------------------------
% 23.83/4.19 % (1437039)------------------------------
% 23.83/4.19 % (1437047)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3983169506:avsq=on:i=194:fgj=on:bd=preordered_2991 on theBenchmark for (2991ds/194Mi)
% 23.83/4.19 % (1437048)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3545432953:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 23.83/4.19 % (1437049)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=481608754:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 23.83/4.19 % (1437050)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=2680520035:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2990 on theBenchmark for (2990ds/106Mi)
% 23.83/4.19 % (1437047)Instruction limit reached!
% 23.83/4.19 % (1437047)------------------------------
% 23.83/4.19 % (1437047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437047)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437047)Termination reason: Instruction limit
% 23.83/4.19 % (1437047)Termination phase: Saturation
% 23.83/4.19 % (1437047)Time elapsed: 0.187 s
% 23.83/4.19 % (1437047)Peak memory usage: 89 MB
% 23.83/4.19 % (1437047)Instructions burned: 194 (million)
% 23.83/4.19 % (1437050)Instruction limit reached!
% 23.83/4.19 % (1437050)------------------------------
% 23.83/4.19 % (1437050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437050)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437050)Termination reason: Instruction limit
% 23.83/4.19 % (1437050)Termination phase: Saturation
% 23.83/4.19 % (1437050)Time elapsed: 0.111 s
% 23.83/4.19 % (1437050)Peak memory usage: 89 MB
% 23.83/4.19 % (1437050)Instructions burned: 106 (million)
% 23.83/4.19 % (1437048)Instruction limit reached!
% 23.83/4.19 % (1437048)------------------------------
% 23.83/4.19 % (1437048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437048)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437048)Termination reason: Instruction limit
% 23.83/4.19 % (1437048)Termination phase: Saturation
% 23.83/4.19 % (1437048)Time elapsed: 0.151 s
% 23.83/4.19 % (1437048)Peak memory usage: 90 MB
% 23.83/4.19 % (1437048)Instructions burned: 157 (million)
% 23.83/4.19 % (1437056)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=773058360:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2987 on theBenchmark for (2987ds/242Mi)
% 23.83/4.19 % (1437055)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2051209184:i=107_2987 on theBenchmark for (2987ds/107Mi)
% 23.83/4.19 % (1437055)Refutation not found, incomplete strategy
% 23.83/4.19 % (1437055)------------------------------
% 23.83/4.19 % (1437055)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437055)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437055)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437055)Termination reason: Refutation not found, incomplete strategy
% 23.83/4.19 % (1437055)Time elapsed: 0.002 s
% 23.83/4.19 % (1437055)Peak memory usage: 87 MB
% 23.83/4.19 % (1437057)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2835948156:cond=fast:i=5208:av=off_2987 on theBenchmark for (2987ds/5208Mi)
% 23.83/4.19 % (1437056)Instruction limit reached!
% 23.83/4.19 % (1437056)------------------------------
% 23.83/4.19 % (1437056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437056)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437056)Termination reason: Instruction limit
% 23.83/4.19 % (1437056)Termination phase: Saturation
% 23.83/4.19 % (1437056)Time elapsed: 0.231 s
% 23.83/4.19 % (1437056)Peak memory usage: 90 MB
% 23.83/4.19 % (1437056)Instructions burned: 243 (million)
% 23.83/4.19 % (1437061)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=354980639:i=134:sd=2:doe=on:ss=axioms:sgt=14_2983 on theBenchmark for (2983ds/134Mi)
% 23.83/4.19 % (1437055)------------------------------
% 23.83/4.19 % (1437055)------------------------------
% 23.83/4.19 % (1437061)Instruction limit reached!
% 23.83/4.19 % (1437061)------------------------------
% 23.83/4.19 % (1437061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437061)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437061)Termination reason: Instruction limit
% 23.83/4.19 % (1437061)Termination phase: Saturation
% 23.83/4.19 % (1437061)Time elapsed: 0.124 s
% 23.83/4.19 % (1437061)Peak memory usage: 89 MB
% 23.83/4.19 % (1437061)Instructions burned: 134 (million)
% 23.83/4.19 % (1437063)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3359512220:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 23.83/4.19 % (1437064)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1452390195:i=191:fgj=on:bd=all_2980 on theBenchmark for (2980ds/191Mi)
% 23.83/4.19 % (1437064)Instruction limit reached!
% 23.83/4.19 % (1437064)------------------------------
% 23.83/4.19 % (1437064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437064)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437064)Termination reason: Instruction limit
% 23.83/4.19 % (1437064)Termination phase: Saturation
% 23.83/4.19 % (1437064)Time elapsed: 0.193 s
% 23.83/4.19 % (1437064)Peak memory usage: 91 MB
% 23.83/4.19 % (1437064)Instructions burned: 192 (million)
% 23.83/4.19 % (1437063)Instruction limit reached!
% 23.83/4.19 % (1437063)------------------------------
% 23.83/4.19 % (1437063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437063)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437063)Termination reason: Instruction limit
% 23.83/4.19 % (1437063)Termination phase: Saturation
% 23.83/4.19 % (1437063)Time elapsed: 0.517 s
% 23.83/4.19 % (1437063)Peak memory usage: 93 MB
% 23.83/4.19 % (1437063)Instructions burned: 500 (million)
% 23.83/4.19 % (1437071)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=401461855:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 23.83/4.19 % (1437072)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1445998916:cond=on:i=156:bs=on:gtg=exists_all:er=known_2974 on theBenchmark for (2974ds/156Mi)
% 23.83/4.19 % (1437071)Instruction limit reached!
% 23.83/4.19 % (1437071)------------------------------
% 23.83/4.19 % (1437071)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437071)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437071)Termination reason: Instruction limit
% 23.83/4.19 % (1437071)Termination phase: Saturation
% 23.83/4.19 % (1437071)Time elapsed: 0.222 s
% 23.83/4.19 % (1437071)Peak memory usage: 91 MB
% 23.83/4.19 % (1437071)Instructions burned: 264 (million)
% 23.83/4.19 % (1437072)Instruction limit reached!
% 23.83/4.19 % (1437072)------------------------------
% 23.83/4.19 % (1437072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.83/4.19 % (1437072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.83/4.19 % (1437072)CaDiCaL version: 2.1.3
% 23.83/4.19 % (1437072)Termination reason: Instruction limit
% 23.83/4.19 % (1437072)Termination phase: Saturation
% 23.83/4.19 % (1437072)Time elapsed: 0.158 s
% 23.83/4.19 % (1437072)Peak memory usage: 89 MB
% 23.83/4.19 % (1437072)Instructions burned: 156 (million)
% 23.83/4.19 % (1437075)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=3041468856:i=3256:kws=precedence:bd=preordered:av=off_2971 on theBenchmark for (2971ds/3256Mi)
% 23.83/4.19 % (1437021)First to succeed.
% 23.83/4.19 % (1437021)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1437009"
% 23.83/4.19 % (1437076)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4249631082:i=537:av=off:ss=included_2970 on theBenchmark for (2970ds/537Mi)
% 23.83/4.19 % (1437021)Refutation found. Thanks to Tanya!
% 23.83/4.19 % SZS status Unsatisfiable for theBenchmark
% 23.83/4.19 % SZS output start Proof for theBenchmark
% See solution above
% 24.40/4.50 % (1437021)------------------------------
% 24.40/4.50 % (1437021)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 24.40/4.50 % (1437021)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 24.40/4.50 % (1437021)CaDiCaL version: 2.1.3
% 24.40/4.50 % (1437021)Termination reason: Refutation
% 24.40/4.50 % (1437021)Time elapsed: 2.996 s
% 24.40/4.50 % (1437021)Peak memory usage: 163 MB
% 24.40/4.50 % (1437021)Instructions burned: 5154 (million)
% 24.40/4.50 % (1437021)------------------------------
% 24.40/4.50 % (1437021)------------------------------
% 24.40/4.50 % (1437009)Success in time 3.359 s
% 24.40/4.50 % Vampire exiting
%------------------------------------------------------------------------------