%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT213-1 : 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 11:46:16 AM UTC 2026
% Result : Unsatisfiable 35.07s 6.12s
% Output : Refutation 35.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 81
% Number of leaves : 12
% Syntax : Number of formulae : 191 ( 177 unt; 0 def)
% Number of atoms : 210 ( 209 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 21 ~; 19 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 440 ( 440 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X3)))) = meet(X0,join(X1,meet(X2,join(X3,meet(X0,X1))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',equation_H76) ).
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(f15,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f19,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f22,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f15,f3]) ).
fof(f24,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f27,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f35,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f39,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f19,f4]) ).
fof(f44,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f19]) ).
fof(f45,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f15,f19]) ).
fof(f48,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f45,f6]) ).
fof(f50,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f39,f5]) ).
fof(f51,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f52,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f15]) ).
fof(f94,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f96,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f97,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f100,plain,
! [X0,X1] :
( join(X0,X1) != one
| meet(X1,X0) != zero
| complement(X1) = X0 ),
inference(superposition,[],[f11,f6]) ).
fof(f112,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(one,X1)),
inference(superposition,[],[f27,f9]) ).
fof(f115,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f27,f5]) ).
fof(f139,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f140,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f147,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f15,f96]) ).
fof(f150,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f96]) ).
fof(f173,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f139]) ).
fof(f182,plain,
! [X2,X3,X0,X1] : meet(X1,join(X0,meet(X2,join(X0,X3)))) = meet(X1,join(X0,meet(X2,join(X3,meet(X0,X1))))),
inference(superposition,[],[f12,f5]) ).
fof(f187,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(complement(X0),X2)))) = meet(X0,join(complement(X0),meet(X1,join(X2,zero)))),
inference(superposition,[],[f12,f10]) ).
fof(f190,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X2,join(X1,X0)))) = meet(X0,join(X1,meet(X2,X0))),
inference(superposition,[],[f12,f4]) ).
fof(f193,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,meet(X3,join(X1,X2)))) = meet(X0,join(X1,meet(X3,join(meet(X0,X1),X2)))),
inference(superposition,[],[f12,f6]) ).
fof(f200,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X3,join(X2,X0)))) = meet(X1,join(X2,meet(join(X0,meet(X1,X2)),X3))),
inference(superposition,[],[f12,f5]) ).
fof(f227,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,join(complement(X0),X2)))) = meet(X0,join(complement(X0),meet(X1,X2))),
inference(forward_demodulation,[],[f187,f139]) ).
fof(f266,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(X1,join(X2,meet(one,X0)))),
inference(superposition,[],[f12,f150]) ).
fof(f268,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f266,f150]) ).
fof(f273,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f268,f150]) ).
fof(f291,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f15,f173]) ).
fof(f295,plain,
one = complement(zero),
inference(superposition,[],[f9,f173]) ).
fof(f701,plain,
! [X0,X1] :
( one != join(one,X0)
| zero != meet(X1,join(complement(X1),X0))
| complement(X1) = join(complement(X1),X0) ),
inference(superposition,[],[f11,f94]) ).
fof(f712,plain,
! [X0,X1] :
( zero != meet(X1,join(complement(X1),X0))
| complement(X1) = join(complement(X1),X0) ),
inference(forward_subsumption_resolution,[],[f701,f147]) ).
fof(f737,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(X1,complement(X0)))) = meet(complement(X0),join(X0,meet(X1,one))),
inference(superposition,[],[f190,f9]) ).
fof(f800,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(X1,complement(X0)))) = meet(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f737,f96]) ).
fof(f982,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(join(X2,meet(one,X0)),X1)),
inference(superposition,[],[f150,f200]) ).
fof(f984,plain,
! [X2,X0,X1] : meet(one,join(X0,meet(X1,join(X0,X2)))) = join(X0,meet(join(X2,X0),X1)),
inference(forward_demodulation,[],[f982,f150]) ).
fof(f1038,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(join(X2,X0),X1)),
inference(forward_demodulation,[],[f984,f150]) ).
fof(f1271,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,join(meet(X0,X1),X0))) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f1038,f4]) ).
fof(f1282,plain,
! [X0,X1] : join(X1,join(X0,X1)) = join(X1,meet(join(X0,X1),join(X1,X0))),
inference(superposition,[],[f1038,f1]) ).
fof(f1363,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(join(X0,X1),join(X1,X0))),
inference(forward_demodulation,[],[f1282,f48]) ).
fof(f1373,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X2,join(X0,meet(X0,X1)))),
inference(forward_demodulation,[],[f1271,f273]) ).
fof(f1412,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(forward_demodulation,[],[f1373,f4]) ).
fof(f1836,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X0,meet(complement(X0),X1))),
inference(superposition,[],[f800,f5]) ).
fof(f1841,plain,
! [X0,X1] : meet(complement(X0),join(X0,join(X1,X0))) = meet(complement(X0),join(X0,meet(complement(X0),join(X0,X1)))),
inference(superposition,[],[f800,f1038]) ).
fof(f1880,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),join(X0,X1)))) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1841,f48]) ).
fof(f1895,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X0,join(X0,X1))),
inference(forward_demodulation,[],[f1880,f1836]) ).
fof(f1902,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f1895,f24]) ).
fof(f1995,plain,
! [X2,X3,X0,X1] : meet(X3,meet(one,join(X0,meet(X1,join(X0,X2))))) = meet(X3,join(X0,meet(join(X2,meet(one,X0)),X1))),
inference(superposition,[],[f112,f200]) ).
fof(f2075,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(join(X2,X0),X1))) = meet(X3,meet(one,join(X0,meet(X1,join(X0,X2))))),
inference(forward_demodulation,[],[f1995,f150]) ).
fof(f2101,plain,
! [X2,X3,X0,X1] : meet(X3,join(X0,meet(X1,join(X0,X2)))) = meet(X3,join(X0,meet(join(X2,X0),X1))),
inference(forward_demodulation,[],[f2075,f112]) ).
fof(f2410,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(join(meet(X0,X1),X2),join(X1,X2)))) = meet(X0,join(X1,join(meet(X0,X1),X2))),
inference(superposition,[],[f193,f1]) ).
fof(f2482,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(join(meet(X0,X1),X2),join(X1,X2)))),
inference(forward_demodulation,[],[f2410,f52]) ).
fof(f2534,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(join(X2,X1),join(meet(X0,X1),X2)))),
inference(forward_demodulation,[],[f2482,f2101]) ).
fof(f2562,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(join(X2,X1),join(X1,X2)))),
inference(forward_demodulation,[],[f2534,f193]) ).
fof(f2578,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f2562,f1363]) ).
fof(f2656,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X1),X0),
inference(superposition,[],[f5,f2578]) ).
fof(f2768,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X1,X0))),
inference(superposition,[],[f44,f10]) ).
fof(f2819,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f2768,f291]) ).
fof(f2867,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f2819,f6]) ).
fof(f2978,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,f97]) ).
fof(f2993,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f2978]) ).
fof(f3133,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X1,join(X0,X2)))) = meet(complement(X0),join(X0,meet(X1,join(X2,zero)))),
inference(superposition,[],[f182,f10]) ).
fof(f3263,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X1,X2))) = meet(complement(X0),join(X0,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f3133,f139]) ).
fof(f3403,plain,
! [X2,X0,X1] : join(meet(X2,X0),X1) = meet(join(meet(X2,X0),X1),join(X0,X1)),
inference(superposition,[],[f19,f52]) ).
fof(f3432,plain,
! [X2,X0,X1] : join(meet(X2,X0),X1) = meet(join(X1,X0),join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f3403,f2656]) ).
fof(f4057,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f52,f1412]) ).
fof(f4062,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(X1,meet(X2,X0)),
inference(forward_demodulation,[],[f4057,f52]) ).
fof(f4984,plain,
! [X0] :
( one != one
| zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(superposition,[],[f100,f9]) ).
fof(f4998,plain,
! [X0] :
( zero != meet(complement(X0),X0)
| complement(complement(X0)) = X0 ),
inference(trivial_inequality_removal,[],[f4984]) ).
fof(f5008,plain,
! [X0] :
( meet(X0,complement(X0)) != zero
| complement(complement(X0)) = X0 ),
inference(forward_demodulation,[],[f4998,f5]) ).
fof(f5024,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_subsumption_resolution,[],[f5008,f10]) ).
fof(f5040,plain,
! [X0,X1] : meet(X0,join(complement(X0),X1)) = meet(X0,join(complement(X0),meet(X1,X0))),
inference(superposition,[],[f800,f5024]) ).
fof(f5535,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),X1))) = meet(complement(X0),join(X0,meet(complement(X0),join(X1,X0)))),
inference(superposition,[],[f3263,f1902]) ).
fof(f5612,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),X1))) = meet(complement(X0),join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f5535,f1836]) ).
fof(f5668,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),X1))) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f5612,f48]) ).
fof(f6086,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X1,join(X0,X2)),meet(X0,X1)),
inference(superposition,[],[f15,f115]) ).
fof(f6135,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f6086,f6]) ).
fof(f6456,plain,
! [X0,X1] : meet(X0,join(complement(X0),meet(X0,X1))) = meet(X0,join(X1,complement(X0))),
inference(superposition,[],[f5668,f5024]) ).
fof(f6738,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))),
inference(superposition,[],[f6456,f140]) ).
fof(f6908,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f6738,f2578]) ).
fof(f6978,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f6908,f2578]) ).
fof(f7021,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f6978,f173]) ).
fof(f7038,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f7021,f10]) ).
fof(f7706,plain,
! [X2,X0,X1] : join(X0,meet(X1,X2)) = join(meet(X2,X1),X0),
inference(superposition,[],[f6,f4062]) ).
fof(f7894,plain,
! [X2,X3,X0,X1] : join(meet(X0,join(X1,X2)),X3) = join(X3,meet(X0,join(X2,X1))),
inference(superposition,[],[f7706,f2656]) ).
fof(f9311,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))) ),
inference(superposition,[],[f712,f7038]) ).
fof(f9328,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(trivial_inequality_removal,[],[f9311]) ).
fof(f9365,plain,
! [X0,X1] : join(X0,meet(X1,complement(meet(complement(X0),X1)))) = X0,
inference(superposition,[],[f9328,f5024]) ).
fof(f9399,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(join(X1,X0)),complement(zero))),
inference(superposition,[],[f9328,f2819]) ).
fof(f9492,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(zero),complement(join(X1,X0)))),
inference(forward_demodulation,[],[f9399,f4062]) ).
fof(f9528,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(one,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f9492,f295]) ).
fof(f9545,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f9528,f150]) ).
fof(f9562,plain,
! [X0,X1] : join(X1,meet(X0,complement(meet(X0,complement(X1))))) = X1,
inference(superposition,[],[f9365,f5]) ).
fof(f9764,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f9545,f4]) ).
fof(f9803,plain,
! [X2,X0,X1] : meet(X0,join(complement(X0),meet(X1,complement(X0)))) = meet(X0,join(complement(X0),meet(X1,complement(join(X2,X0))))),
inference(superposition,[],[f227,f9545]) ).
fof(f9807,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f19,f9545]) ).
fof(f9844,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f9807,f5]) ).
fof(f9846,plain,
! [X2,X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),meet(X1,complement(join(X2,X0))))),
inference(forward_demodulation,[],[f9803,f15]) ).
fof(f9865,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f9764,f6]) ).
fof(f9878,plain,
! [X2,X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(join(X2,X0))))),
inference(forward_demodulation,[],[f9846,f10]) ).
fof(f9901,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(X1,complement(X0)))),
inference(superposition,[],[f9844,f5024]) ).
fof(f10850,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f9901,f6]) ).
fof(f11046,plain,
! [X2,X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(join(X2,X0)))) ),
inference(superposition,[],[f712,f9878]) ).
fof(f11099,plain,
! [X2,X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(join(X2,X0)))),
inference(trivial_inequality_removal,[],[f11046]) ).
fof(f11294,plain,
! [X2,X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),meet(X2,complement(X0))),
inference(superposition,[],[f11099,f4]) ).
fof(f11767,plain,
! [X2,X0,X1] : complement(complement(meet(X0,X1))) = meet(complement(meet(X2,complement(X0))),complement(complement(meet(X0,X1)))),
inference(superposition,[],[f9844,f11294]) ).
fof(f11772,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(complement(meet(X2,complement(X0))),meet(X0,X1)),
inference(forward_demodulation,[],[f11767,f5024]) ).
fof(f11811,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,complement(meet(X2,complement(X0))))),
inference(forward_demodulation,[],[f11772,f35]) ).
fof(f12504,plain,
! [X0,X1] : meet(X1,complement(meet(X1,complement(X0)))) = meet(meet(X1,complement(meet(X1,complement(X0)))),X0),
inference(superposition,[],[f19,f9562]) ).
fof(f12563,plain,
! [X0,X1] : meet(X1,complement(meet(X1,complement(X0)))) = meet(X0,meet(X1,complement(meet(X1,complement(X0))))),
inference(forward_demodulation,[],[f12504,f5]) ).
fof(f12604,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f12563,f11811]) ).
fof(f12633,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(meet(X1,X0))),
inference(superposition,[],[f12604,f5024]) ).
fof(f12640,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(meet(X1,complement(X0)),X1),
inference(superposition,[],[f12604,f12604]) ).
fof(f12694,plain,
! [X0,X1] : meet(X1,join(complement(X1),meet(X0,X1))) = meet(X1,join(complement(meet(X1,complement(X0))),complement(X1))),
inference(superposition,[],[f6456,f12604]) ).
fof(f12738,plain,
! [X0,X1] : meet(X1,join(complement(X1),meet(X0,X1))) = meet(X1,join(complement(X1),complement(meet(X1,complement(X0))))),
inference(forward_demodulation,[],[f12694,f2578]) ).
fof(f12773,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,meet(X1,complement(X0))),
inference(forward_demodulation,[],[f12640,f5]) ).
fof(f12791,plain,
! [X0,X1] : meet(X1,complement(meet(X1,complement(X0)))) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[],[f12738,f9865]) ).
fof(f12810,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,complement(X0)),
inference(forward_demodulation,[],[f12773,f50]) ).
fof(f12819,plain,
! [X0,X1] : meet(X1,join(complement(X1),X0)) = meet(X1,complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f12791,f5040]) ).
fof(f12831,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),X0)),
inference(forward_demodulation,[],[f12819,f12604]) ).
fof(f12895,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),join(X0,X1)))) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f12633,f1902]) ).
fof(f13011,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),join(X0,X1)))) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f12895,f5]) ).
fof(f13086,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f13011,f9844]) ).
fof(f13135,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X0,X1)),complement(X0)),
inference(forward_demodulation,[],[f13086,f12633]) ).
fof(f13169,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f13135,f5]) ).
fof(f13208,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f12831,f5024]) ).
fof(f13327,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(join(complement(X1),X0)),X1),
inference(superposition,[],[f12633,f12831]) ).
fof(f13352,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(X1,complement(join(complement(X1),X0))),
inference(forward_demodulation,[],[f13327,f5]) ).
fof(f13437,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(complement(X1),X0)),
inference(forward_demodulation,[],[f13352,f10850]) ).
fof(f13507,plain,
! [X0,X1] : meet(X1,complement(X0)) = complement(join(complement(X1),X0)),
inference(forward_demodulation,[],[f13437,f12810]) ).
fof(f13609,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(join(meet(X0,X2),X1),complement(X0)),
inference(superposition,[],[f13208,f51]) ).
fof(f13782,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f13609,f5]) ).
fof(f13852,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f13782,f13208]) ).
fof(f14497,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f13169,f5024]) ).
fof(f14685,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,meet(X0,complement(X1))),
inference(forward_demodulation,[],[f14497,f13507]) ).
fof(f14750,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f14685,f50]) ).
fof(f14854,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(X1)),
inference(superposition,[],[f14750,f5024]) ).
fof(f14899,plain,
! [X0,X1] : join(X1,complement(X0)) = complement(meet(X0,complement(X1))),
inference(superposition,[],[f5024,f14750]) ).
fof(f15099,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(superposition,[],[f14854,f5024]) ).
fof(f15433,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f5024,f15099]) ).
fof(f15778,plain,
! [X0,X1] : complement(meet(complement(X0),complement(X1))) = join(complement(complement(meet(complement(X1),X0))),X1),
inference(superposition,[],[f15433,f12633]) ).
fof(f15894,plain,
! [X0,X1] : complement(meet(complement(X0),complement(X1))) = join(X1,complement(complement(meet(complement(X1),X0)))),
inference(forward_demodulation,[],[f15778,f6]) ).
fof(f15990,plain,
! [X0,X1] : join(X1,meet(complement(X1),X0)) = complement(meet(complement(X0),complement(X1))),
inference(forward_demodulation,[],[f15894,f5024]) ).
fof(f16059,plain,
! [X0,X1] : join(X1,meet(complement(X1),X0)) = join(X1,complement(complement(X0))),
inference(forward_demodulation,[],[f15990,f14899]) ).
fof(f16106,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(complement(X1),X0)),
inference(forward_demodulation,[],[f16059,f5024]) ).
fof(f16196,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(superposition,[],[f16106,f5024]) ).
fof(f16694,plain,
! [X0,X1] :
( zero != meet(complement(X0),join(meet(X0,X1),complement(join(complement(X0),X1))))
| complement(complement(X0)) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(superposition,[],[f2993,f16196]) ).
fof(f16716,plain,
! [X0,X1] :
( zero != meet(complement(join(complement(X0),X1)),complement(X0))
| complement(complement(X0)) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(forward_demodulation,[],[f16694,f13852]) ).
fof(f16818,plain,
! [X0,X1] :
( zero != meet(complement(X0),complement(join(complement(X0),X1)))
| complement(complement(X0)) = join(meet(X0,X1),complement(join(complement(X0),X1))) ),
inference(forward_demodulation,[],[f16716,f5]) ).
fof(f16889,plain,
! [X0,X1] : complement(complement(X0)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_subsumption_resolution,[],[f16818,f2867]) ).
fof(f16930,plain,
! [X0,X1] : complement(complement(X0)) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[],[f16889,f13507]) ).
fof(f16954,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X1))) = X0,
inference(forward_demodulation,[],[f16930,f5024]) ).
fof(f17021,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(X1,complement(complement(meet(X1,X0))))) = X1,
inference(superposition,[],[f16954,f12633]) ).
fof(f17200,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(X1,meet(X1,X0))) = X1,
inference(forward_demodulation,[],[f17021,f5024]) ).
fof(f17276,plain,
! [X0,X1] : join(meet(complement(X0),X1),meet(X1,X0)) = X1,
inference(forward_demodulation,[],[f17200,f50]) ).
fof(f17321,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X0),X1)) = X1,
inference(forward_demodulation,[],[f17276,f7706]) ).
fof(f18342,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(meet(X0,join(X0,meet(X1,join(X0,X2)))),meet(complement(X0),join(X0,meet(X1,X2)))),
inference(superposition,[],[f17321,f3263]) ).
fof(f18530,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(meet(complement(X0),join(meet(X1,X2),X0)),meet(X0,join(X0,meet(X1,join(X0,X2))))),
inference(forward_demodulation,[],[f18342,f7894]) ).
fof(f18643,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(meet(complement(X0),join(meet(X1,X2),X0)),X0),
inference(forward_demodulation,[],[f18530,f3]) ).
fof(f18705,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,meet(complement(X0),join(meet(X1,X2),X0))),
inference(forward_demodulation,[],[f18643,f6]) ).
fof(f18745,plain,
! [X2,X0,X1] : join(X0,meet(X1,join(X0,X2))) = join(X0,join(meet(X1,X2),X0)),
inference(forward_demodulation,[],[f18705,f16106]) ).
fof(f18765,plain,
! [X2,X0,X1] : join(meet(X1,X2),X0) = join(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f18745,f48]) ).
fof(f18922,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(meet(X0,join(X2,X1)),join(meet(X0,X1),X2)),
inference(superposition,[],[f19,f18765]) ).
fof(f18994,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,meet(join(X2,X1),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f18922,f7]) ).
fof(f19103,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f18994,f3432]) ).
fof(f20171,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,X0),X1)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f19103,f1412]) ).
fof(f20230,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,X2))),
inference(superposition,[],[f2578,f19103]) ).
fof(f20397,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,X0),X1)) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f20171,f20230]) ).
fof(f20531,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f20397,f19103]) ).
fof(f20844,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X1,X0)) = join(meet(X1,X0),meet(X0,join(X1,X2))),
inference(superposition,[],[f18765,f20531]) ).
fof(f20966,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X1,X0)),
inference(forward_demodulation,[],[f20844,f6135]) ).
fof(f21449,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X2),meet(X0,X1)),
inference(superposition,[],[f4062,f20966]) ).
fof(f32894,plain,
meet(a,join(b,c)) != meet(a,join(c,b)),
inference(superposition,[],[f13,f21449]) ).
fof(f33054,plain,
$false,
inference(forward_subsumption_resolution,[],[f32894,f2578]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT213-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.16/0.42 % Computer : n007.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Sun Sep 27 14:04:10 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.23/0.48 Running first-order theorem proving
% 0.23/0.48 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
% 18.34/3.86 % (1437984)Input is clausal, will run a generic CNF schedule.
% 18.34/3.86 % (1437993)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2377440721:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 18.34/3.86 % (1437995)dis-21_1_sil=8000:lcm=predicate:random_seed=1721435937: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)
% 18.34/3.86 % (1437995)Refutation not found, incomplete strategy
% 18.34/3.86 % (1437995)------------------------------
% 18.34/3.86 % (1437995)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.86 % (1437995)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.86 % (1437995)CaDiCaL version: 2.1.3
% 18.34/3.86 % (1437995)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.86 % (1437995)Time elapsed: 0.002 s
% 18.34/3.86 % (1437995)Peak memory usage: 88 MB
% 18.34/3.86 % (1437995)Instructions burned: 1 (million)
% 18.34/3.86 % (1437993)Instruction limit reached!
% 18.34/3.86 % (1437993)------------------------------
% 18.34/3.86 % (1437993)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.86 % (1437993)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.86 % (1437993)CaDiCaL version: 2.1.3
% 18.34/3.86 % (1437993)Termination reason: Instruction limit
% 18.34/3.86 % (1437993)Termination phase: Saturation
% 18.34/3.86 % (1437993)Time elapsed: 0.060 s
% 18.34/3.86 % (1437993)Peak memory usage: 88 MB
% 18.34/3.86 % (1437993)Instructions burned: 114 (million)
% 18.34/3.86 % (1437994)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4062101999:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 18.34/3.86 % (1437991)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2584793061:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 18.34/3.86 % (1437989)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=422826298:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 18.34/3.86 % (1437990)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=721016328:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 18.34/3.86 % (1437992)lrs+10_1_sil=8000:sp=occurrence:random_seed=615978134:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 18.34/3.86 % (1437992)Instruction limit reached!
% 18.34/3.86 % (1437992)------------------------------
% 18.34/3.86 % (1437992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.86 % (1437992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.86 % (1437992)CaDiCaL version: 2.1.3
% 18.34/3.86 % (1437992)Termination reason: Instruction limit
% 18.34/3.86 % (1437992)Termination phase: Saturation
% 18.34/3.86 % (1437992)Time elapsed: 0.101 s
% 18.34/3.86 % (1437992)Peak memory usage: 88 MB
% 18.34/3.86 % (1437992)Instructions burned: 107 (million)
% 18.34/3.86 % (1437994)Instruction limit reached!
% 18.34/3.86 % (1437994)------------------------------
% 18.34/3.86 % (1437994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.86 % (1437994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.86 % (1437994)CaDiCaL version: 2.1.3
% 18.34/3.86 % (1437994)Termination reason: Instruction limit
% 18.34/3.86 % (1437994)Termination phase: Saturation
% 18.34/3.86 % (1437994)Time elapsed: 0.150 s
% 18.34/3.86 % (1437994)Peak memory usage: 89 MB
% 18.34/3.86 % (1437994)Instructions burned: 180 (million)
% 18.34/3.86 % (1437998)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=1810718:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 18.34/3.86 % (1437998)Refutation not found, incomplete strategy
% 18.34/3.86 % (1437998)------------------------------
% 18.34/3.86 % (1437998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.34/3.86 % (1437998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.86 % (1437998)CaDiCaL version: 2.1.3
% 18.34/3.86 % (1437998)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.86 % (1437998)Time elapsed: 0.001 s
% 18.34/3.86 % (1437998)Peak memory usage: 88 MB
% 18.34/3.86 % (1437995)------------------------------
% 18.34/3.86 % (1437995)------------------------------
% 35.07/6.11 % (1438004)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2460309084: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)
% 35.07/6.11 % (1438004)Refutation not found, incomplete strategy
% 35.07/6.11 % (1438004)------------------------------
% 35.07/6.11 % (1438004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.11 % (1438004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.11 % (1438004)CaDiCaL version: 2.1.3
% 35.07/6.11 % (1438004)Termination reason: Refutation not found, incomplete strategy
% 35.07/6.11 % (1438004)Time elapsed: 0.003 s
% 35.07/6.11 % (1438004)Peak memory usage: 88 MB
% 35.07/6.11 % (1438004)Instructions burned: 1 (million)
% 35.07/6.11 % (1437998)------------------------------
% 35.07/6.11 % (1437998)------------------------------
% 35.07/6.11 % (1438005)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1789461603:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 35.07/6.11 % (1438005)Refutation not found, incomplete strategy
% 35.07/6.11 % (1438005)------------------------------
% 35.07/6.11 % (1438005)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.11 % (1438005)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.11 % (1438005)CaDiCaL version: 2.1.3
% 35.07/6.11 % (1438005)Termination reason: Refutation not found, incomplete strategy
% 35.07/6.11 % (1438005)Time elapsed: 0.002 s
% 35.07/6.11 % (1438005)Peak memory usage: 87 MB
% 35.07/6.11 % (1438007)lrs+10_64_to=lpo:sil=8000:random_seed=3528281091:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 35.07/6.11 % (1438009)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4228718682:avsq=on:i=194:fgj=on:bd=preordered_2993 on theBenchmark for (2993ds/194Mi)
% 35.07/6.11 % (1438007)Instruction limit reached!
% 35.07/6.11 % (1438007)------------------------------
% 35.07/6.11 % (1438007)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.11 % (1438007)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.11 % (1438007)CaDiCaL version: 2.1.3
% 35.07/6.11 % (1438007)Termination reason: Instruction limit
% 35.07/6.11 % (1438007)Termination phase: Saturation
% 35.07/6.11 % (1438007)Time elapsed: 0.121 s
% 35.07/6.11 % (1438007)Peak memory usage: 88 MB
% 35.07/6.11 % (1438007)Instructions burned: 126 (million)
% 35.07/6.11 % (1438004)------------------------------
% 35.07/6.11 % (1438004)------------------------------
% 35.07/6.11 % (1438009)Instruction limit reached!
% 35.07/6.11 % (1438009)------------------------------
% 35.07/6.11 % (1438009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.11 % (1438009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.11 % (1438009)CaDiCaL version: 2.1.3
% 35.07/6.11 % (1438009)Termination reason: Instruction limit
% 35.07/6.11 % (1438009)Termination phase: Saturation
% 35.07/6.11 % (1438009)Time elapsed: 0.105 s
% 35.07/6.11 % (1438009)Peak memory usage: 90 MB
% 35.07/6.11 % (1438009)Instructions burned: 194 (million)
% 35.07/6.11 % (1438005)------------------------------
% 35.07/6.11 % (1438005)------------------------------
% 35.07/6.11 % (1438014)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3617360073:i=3394:sd=4:ss=included:sgt=64_2990 on theBenchmark for (2990ds/3394Mi)
% 35.07/6.11 % (1438013)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2036072820:i=157:gtg=all_2990 on theBenchmark for (2990ds/157Mi)
% 35.07/6.11 % (1438015)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=3048715799:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2989 on theBenchmark for (2989ds/106Mi)
% 35.07/6.11 % (1438015)Instruction limit reached!
% 35.07/6.11 % (1438015)------------------------------
% 35.07/6.11 % (1438015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.11 % (1438015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.11 % (1438015)CaDiCaL version: 2.1.3
% 35.07/6.11 % (1438015)Termination reason: Instruction limit
% 35.07/6.11 % (1438015)Termination phase: Saturation
% 35.07/6.11 % (1438015)Time elapsed: 0.108 s
% 35.07/6.11 % (1438015)Peak memory usage: 89 MB
% 35.07/6.11 % (1438015)Instructions burned: 107 (million)
% 35.07/6.11 % (1438013)Instruction limit reached!
% 35.07/6.11 % (1438013)------------------------------
% 35.07/6.12 % (1438013)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438013)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438013)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438013)Termination reason: Instruction limit
% 35.07/6.12 % (1438013)Termination phase: Saturation
% 35.07/6.12 % (1438013)Time elapsed: 0.157 s
% 35.07/6.12 % (1438013)Peak memory usage: 90 MB
% 35.07/6.12 % (1438013)Instructions burned: 157 (million)
% 35.07/6.12 % (1438016)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3076314083:i=107_2989 on theBenchmark for (2989ds/107Mi)
% 35.07/6.12 % (1438016)Refutation not found, incomplete strategy
% 35.07/6.12 % (1438016)------------------------------
% 35.07/6.12 % (1438016)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438016)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438016)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438016)Termination reason: Refutation not found, incomplete strategy
% 35.07/6.12 % (1438016)Time elapsed: 0.002 s
% 35.07/6.12 % (1438016)Peak memory usage: 87 MB
% 35.07/6.12 % (1438021)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1788003690:cond=fast:i=5208:av=off_2986 on theBenchmark for (2986ds/5208Mi)
% 35.07/6.12 % (1438020)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1217900416:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2986 on theBenchmark for (2986ds/242Mi)
% 35.07/6.12 % (1438016)------------------------------
% 35.07/6.12 % (1438016)------------------------------
% 35.07/6.12 % (1438020)Instruction limit reached!
% 35.07/6.12 % (1438020)------------------------------
% 35.07/6.12 % (1438020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438020)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438020)Termination reason: Instruction limit
% 35.07/6.12 % (1438020)Termination phase: Saturation
% 35.07/6.12 % (1438020)Time elapsed: 0.230 s
% 35.07/6.12 % (1438020)Peak memory usage: 90 MB
% 35.07/6.12 % (1438020)Instructions burned: 242 (million)
% 35.07/6.12 % (1438025)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1215569518:i=134:sd=2:doe=on:ss=axioms:sgt=14_2982 on theBenchmark for (2982ds/134Mi)
% 35.07/6.12 % (1438025)Instruction limit reached!
% 35.07/6.12 % (1438025)------------------------------
% 35.07/6.12 % (1438025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438025)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438025)Termination reason: Instruction limit
% 35.07/6.12 % (1438025)Termination phase: Saturation
% 35.07/6.12 % (1438025)Time elapsed: 0.072 s
% 35.07/6.12 % (1438025)Peak memory usage: 89 MB
% 35.07/6.12 % (1438025)Instructions burned: 136 (million)
% 35.07/6.12 % (1438026)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2550790901:i=499:bd=all_2981 on theBenchmark for (2981ds/499Mi)
% 35.07/6.12 % (1438028)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2127251116:i=191:fgj=on:bd=all_2979 on theBenchmark for (2979ds/191Mi)
% 35.07/6.12 % (1438028)Instruction limit reached!
% 35.07/6.12 % (1438028)------------------------------
% 35.07/6.12 % (1438028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438028)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438028)Termination reason: Instruction limit
% 35.07/6.12 % (1438028)Termination phase: Saturation
% 35.07/6.12 % (1438028)Time elapsed: 0.107 s
% 35.07/6.12 % (1438028)Peak memory usage: 91 MB
% 35.07/6.12 % (1438028)Instructions burned: 191 (million)
% 35.07/6.12 % (1438031)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1686525294:i=264:kws=precedence:fsr=off_2975 on theBenchmark for (2975ds/264Mi)
% 35.07/6.12 % (1438026)Instruction limit reached!
% 35.07/6.12 % (1438026)------------------------------
% 35.07/6.12 % (1438026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438026)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438026)Termination reason: Instruction limit
% 35.07/6.12 % (1438026)Termination phase: Saturation
% 35.07/6.12 % (1438026)Time elapsed: 0.514 s
% 35.07/6.12 % (1438026)Peak memory usage: 93 MB
% 35.07/6.12 % (1438026)Instructions burned: 499 (million)
% 35.07/6.12 % (1438031)Instruction limit reached!
% 35.07/6.12 % (1438031)------------------------------
% 35.07/6.12 % (1438031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438031)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438031)Termination reason: Instruction limit
% 35.07/6.12 % (1438031)Termination phase: Saturation
% 35.07/6.12 % (1438031)Time elapsed: 0.142 s
% 35.07/6.12 % (1438031)Peak memory usage: 92 MB
% 35.07/6.12 % (1438031)Instructions burned: 266 (million)
% 35.07/6.12 % (1438033)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3729927701:cond=on:i=156:bs=on:gtg=exists_all:er=known_2973 on theBenchmark for (2973ds/156Mi)
% 35.07/6.12 % (1438034)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=1670779730:i=3256:kws=precedence:bd=preordered:av=off_2971 on theBenchmark for (2971ds/3256Mi)
% 35.07/6.12 % (1438033)Instruction limit reached!
% 35.07/6.12 % (1438033)------------------------------
% 35.07/6.12 % (1438033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438033)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438033)Termination reason: Instruction limit
% 35.07/6.12 % (1438033)Termination phase: Saturation
% 35.07/6.12 % (1438033)Time elapsed: 0.155 s
% 35.07/6.12 % (1438033)Peak memory usage: 89 MB
% 35.07/6.12 % (1438033)Instructions burned: 156 (million)
% 35.07/6.12 % (1438037)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=366686826:i=537:av=off:ss=included_2968 on theBenchmark for (2968ds/537Mi)
% 35.07/6.12 % (1438037)Instruction limit reached!
% 35.07/6.12 % (1438037)------------------------------
% 35.07/6.12 % (1438037)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438037)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438037)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438037)Termination reason: Instruction limit
% 35.07/6.12 % (1438037)Termination phase: Saturation
% 35.07/6.12 % (1438037)Time elapsed: 0.487 s
% 35.07/6.12 % (1438037)Peak memory usage: 93 MB
% 35.07/6.12 % (1438037)Instructions burned: 537 (million)
% 35.07/6.12 % (1438039)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3840728743:i=180:bd=preordered:av=off_2960 on theBenchmark for (2960ds/180Mi)
% 35.07/6.12 % (1438039)Instruction limit reached!
% 35.07/6.12 % (1438039)------------------------------
% 35.07/6.12 % (1438039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.07/6.12 % (1438039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.07/6.12 % (1438039)CaDiCaL version: 2.1.3
% 35.07/6.12 % (1438039)Termination reason: Instruction limit
% 35.07/6.12 % (1438039)Termination phase: Saturation
% 35.07/6.12 % (1438039)Time elapsed: 0.172 s
% 35.07/6.12 % (1438039)Peak memory usage: 88 MB
% 35.07/6.12 % (1438039)Instructions burned: 181 (million)
% 35.07/6.12 % (1438014)First to succeed.
% 35.07/6.12 % (1438014)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1437984"
% 35.07/6.12 % (1438041)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=2286206209:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2956 on theBenchmark for (2956ds/10307Mi)
% 35.07/6.12 % (1438014)Refutation found. Thanks to Tanya!
% 35.07/6.12 % SZS status Unsatisfiable for theBenchmark
% 35.07/6.12 % SZS output start Proof for theBenchmark
% See solution above
% 35.81/6.38 % (1438014)------------------------------
% 35.81/6.38 % (1438014)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 35.81/6.38 % (1438014)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 35.81/6.38 % (1438014)CaDiCaL version: 2.1.3
% 35.81/6.38 % (1438014)Termination reason: Refutation
% 35.81/6.38 % (1438014)Time elapsed: 3.263 s
% 35.81/6.38 % (1438014)Peak memory usage: 152 MB
% 35.81/6.38 % (1438014)Instructions burned: 3415 (million)
% 35.81/6.38 % (1438014)------------------------------
% 35.81/6.38 % (1438014)------------------------------
% 35.81/6.38 % (1437984)Success in time 4.936 s
% 35.81/6.38 % Vampire exiting
%------------------------------------------------------------------------------