%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT211-1 : TPTP v9.3.1. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:46:16 AM UTC 2026
% Result : Unsatisfiable 25.37s 4.38s
% Output : Refutation 25.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 11
% Syntax : Number of formulae : 207 ( 203 unt; 0 def)
% Number of atoms : 213 ( 212 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 14 ( 8 ~; 6 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 448 ( 448 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f4,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f5,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f6,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f7,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f8,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f9,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f10,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f11,axiom,
! [X0,X1] :
( join(X0,X1) != one
| meet(X0,X1) != zero
| complement(X0) = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f12,axiom,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X2,meet(X0,X1))),meet(X0,join(X1,meet(X0,X2)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H69) ).
fof(f13,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f24,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X0,meet(X1,X2))),meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f12,f5]) ).
fof(f25,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X1,join(X2,meet(X0,X1))),meet(X1,join(X0,meet(X1,X2)))),
inference(superposition,[],[f12,f5]) ).
fof(f31,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,join(X1,meet(X0,X2))),meet(X0,join(X2,meet(X0,X1)))),
inference(superposition,[],[f12,f6]) ).
fof(f38,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f59,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f82,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f38,f59]) ).
fof(f83,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f59,f38]) ).
fof(f89,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f83,f6]) ).
fof(f90,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f82,f5]) ).
fof(f104,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f105,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f38]) ).
fof(f113,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f148,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f162,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f173,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f148,f6]) ).
fof(f194,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f196,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f197,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f235,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f238,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = join(meet(X0,join(complement(X0),meet(X0,X1))),meet(X0,join(X1,zero))),
inference(superposition,[],[f12,f10]) ).
fof(f239,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(superposition,[],[f59,f10]) ).
fof(f241,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f243,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[],[f239,f6]) ).
fof(f244,plain,
! [X0,X1] : join(meet(X0,join(X1,zero)),meet(X0,join(complement(X0),meet(X0,X1)))) = meet(X0,join(X1,complement(X0))),
inference(forward_demodulation,[],[f238,f6]) ).
fof(f245,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = join(meet(X0,X1),meet(X0,join(complement(X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f244,f235]) ).
fof(f265,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f196]) ).
fof(f269,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f59,f196]) ).
fof(f321,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(meet(one,join(X0,meet(one,X1))),meet(one,join(X1,X0))),
inference(superposition,[],[f12,f265]) ).
fof(f329,plain,
zero = complement(one),
inference(superposition,[],[f10,f265]) ).
fof(f333,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(meet(one,join(X1,X0)),meet(one,join(X0,meet(one,X1)))),
inference(forward_demodulation,[],[f321,f6]) ).
fof(f337,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(meet(one,join(X1,X0)),join(X0,meet(one,X1))),
inference(forward_demodulation,[],[f333,f265]) ).
fof(f341,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(meet(one,X1),join(meet(one,join(X1,X0)),X0)),
inference(forward_demodulation,[],[f337,f162]) ).
fof(f345,plain,
! [X0,X1] : meet(one,join(X1,X0)) = join(meet(one,X1),join(X0,meet(one,join(X1,X0)))),
inference(forward_demodulation,[],[f341,f6]) ).
fof(f349,plain,
! [X0,X1] : join(X1,X0) = join(meet(one,X1),join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f345,f265]) ).
fof(f353,plain,
! [X0,X1] : join(X1,X0) = join(meet(one,X1),join(X1,X0)),
inference(forward_demodulation,[],[f349,f89]) ).
fof(f357,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,meet(one,X1))),
inference(forward_demodulation,[],[f353,f162]) ).
fof(f359,plain,
! [X0,X1] : join(X1,X0) = join(X1,join(X0,X1)),
inference(forward_demodulation,[],[f357,f265]) ).
fof(f367,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f235]) ).
fof(f391,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f59,f367]) ).
fof(f394,plain,
one = complement(zero),
inference(superposition,[],[f9,f367]) ).
fof(f1016,plain,
! [X0,X1] : one = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f197,f6]) ).
fof(f1187,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = join(zero,meet(X0,join(complement(X0),zero))),
inference(superposition,[],[f245,f241]) ).
fof(f1239,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))),
inference(forward_demodulation,[],[f1187,f367]) ).
fof(f1259,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1239,f6]) ).
fof(f1272,plain,
! [X0,X1] : meet(X0,join(zero,complement(X0))) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1259,f6]) ).
fof(f1282,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1272,f243]) ).
fof(f1287,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f1282,f10]) ).
fof(f1451,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X1,X0))),
inference(superposition,[],[f105,f10]) ).
fof(f1496,plain,
! [X0,X1] : zero = meet(X0,complement(join(X1,X0))),
inference(forward_demodulation,[],[f1451,f391]) ).
fof(f1796,plain,
! [X0,X1] :
( one != join(one,X0)
| zero != meet(X1,join(complement(X1),X0))
| complement(X1) = join(complement(X1),X0) ),
inference(superposition,[],[f11,f194]) ).
fof(f1819,plain,
! [X0,X1] :
( zero != meet(X1,join(complement(X1),X0))
| complement(X1) = join(complement(X1),X0) ),
inference(forward_subsumption_resolution,[],[f1796,f269]) ).
fof(f2625,plain,
! [X0,X1] : meet(X0,join(zero,X1)) = join(meet(X0,join(X1,zero)),meet(X0,join(zero,meet(X1,X0)))),
inference(superposition,[],[f24,f391]) ).
fof(f2660,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = join(meet(complement(X0),join(X0,meet(complement(X0),X1))),meet(complement(X0),join(X1,zero))),
inference(superposition,[],[f24,f10]) ).
fof(f2747,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = join(meet(complement(X0),join(X1,zero)),meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f2660,f6]) ).
fof(f2779,plain,
! [X0,X1] : meet(X0,join(zero,X1)) = join(meet(X0,join(X1,zero)),meet(X0,meet(X1,X0))),
inference(forward_demodulation,[],[f2625,f367]) ).
fof(f2823,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = join(meet(complement(X0),X1),meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f2747,f235]) ).
fof(f2848,plain,
! [X0,X1] : meet(X0,join(zero,X1)) = join(meet(X0,join(X1,zero)),meet(X1,X0)),
inference(forward_demodulation,[],[f2779,f90]) ).
fof(f2904,plain,
! [X0,X1] : meet(X0,join(zero,X1)) = join(meet(X1,X0),meet(X0,join(X1,zero))),
inference(forward_demodulation,[],[f2848,f6]) ).
fof(f2946,plain,
! [X0,X1] : meet(X0,join(zero,X1)) = join(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[],[f2904,f235]) ).
fof(f2975,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X1,X0),meet(X0,X1)),
inference(forward_demodulation,[],[f2946,f367]) ).
fof(f3542,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = join(meet(complement(X0),join(X1,zero)),meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(superposition,[],[f25,f10]) ).
fof(f3724,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = join(meet(complement(X0),X1),meet(complement(X0),join(X0,meet(complement(X0),X1)))),
inference(forward_demodulation,[],[f3542,f235]) ).
fof(f4006,plain,
! [X0,X1] : join(zero,meet(complement(X0),join(X0,zero))) = meet(complement(X0),join(X0,complement(join(X1,complement(X0))))),
inference(superposition,[],[f3724,f1496]) ).
fof(f4064,plain,
! [X0,X1] : meet(complement(X0),join(X0,zero)) = meet(complement(X0),join(X0,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f4006,f367]) ).
fof(f4096,plain,
! [X0,X1] : meet(complement(X0),X0) = meet(complement(X0),join(X0,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f4064,f235]) ).
fof(f4121,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(complement(X0),join(X0,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f4096,f5]) ).
fof(f4140,plain,
! [X0,X1] : zero = meet(complement(X0),join(X0,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f4121,f10]) ).
fof(f4483,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,X1)),
inference(superposition,[],[f12,f31]) ).
fof(f4923,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X2,join(meet(X0,X1),meet(X1,X0))),
inference(superposition,[],[f4483,f2975]) ).
fof(f5078,plain,
! [X2,X0,X1] : meet(X2,meet(X0,X1)) = meet(X2,meet(X1,X0)),
inference(forward_demodulation,[],[f4923,f2975]) ).
fof(f5134,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,join(X1,X2))) = meet(X3,meet(join(X2,X1),X0)),
inference(superposition,[],[f5078,f4483]) ).
fof(f5207,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(meet(X2,X1),X0),
inference(superposition,[],[f5,f5078]) ).
fof(f5237,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X2,X1))) = join(meet(complement(X0),meet(X1,X2)),meet(complement(X0),join(X0,meet(complement(X0),meet(X1,X2))))),
inference(superposition,[],[f3724,f5078]) ).
fof(f5243,plain,
! [X2,X0,X1] : meet(complement(X0),join(X0,meet(X2,X1))) = meet(complement(X0),join(meet(X1,X2),X0)),
inference(forward_demodulation,[],[f5237,f2823]) ).
fof(f5980,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(join(X0,complement(X0)))),
inference(unit_resulting_resolution,[],[f11,f4140,f1016]) ).
fof(f6098,plain,
! [X0] : join(X0,complement(one)) = complement(complement(X0)),
inference(forward_demodulation,[],[f5980,f9]) ).
fof(f6127,plain,
! [X0] : join(X0,zero) = complement(complement(X0)),
inference(forward_demodulation,[],[f6098,f329]) ).
fof(f6140,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f6127,f235]) ).
fof(f8353,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))) ),
inference(superposition,[],[f1819,f1287]) ).
fof(f8362,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(trivial_inequality_removal,[],[f8353]) ).
fof(f8403,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(join(X1,X0)),complement(zero))),
inference(superposition,[],[f8362,f1496]) ).
fof(f8436,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(meet(X1,complement(meet(X0,X1))),complement(X0)),
inference(superposition,[],[f38,f8362]) ).
fof(f8458,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f8436,f5]) ).
fof(f8482,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(complement(zero),complement(join(X1,X0)))),
inference(forward_demodulation,[],[f8403,f5]) ).
fof(f8519,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(one,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f8482,f394]) ).
fof(f8537,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f8519,f265]) ).
fof(f8553,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f8537,f4]) ).
fof(f8594,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f38,f8537]) ).
fof(f8616,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f8594,f5]) ).
fof(f8644,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f8553,f6]) ).
fof(f8680,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f8616,f6]) ).
fof(f8681,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f8616,f4]) ).
fof(f8682,plain,
! [X0,X1] : complement(X0) = meet(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f8616,f59]) ).
fof(f8685,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X1,X0)),complement(join(X0,X1))),
inference(superposition,[],[f8616,f359]) ).
fof(f8686,plain,
! [X2,X0,X1] : complement(join(X0,join(X1,X2))) = meet(complement(join(X0,X1)),complement(join(X0,join(X1,X2)))),
inference(superposition,[],[f8616,f162]) ).
fof(f8807,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f8682,f5]) ).
fof(f8808,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f8681,f5]) ).
fof(f8854,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = X0,
inference(superposition,[],[f8808,f6140]) ).
fof(f9011,plain,
! [X0,X1] : meet(X0,complement(meet(X1,complement(X0)))) = X0,
inference(superposition,[],[f8807,f6140]) ).
fof(f9088,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(meet(complement(meet(X2,X0)),complement(X0)),X1),
inference(superposition,[],[f5207,f8807]) ).
fof(f9097,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(complement(meet(X2,X0)),meet(complement(X0),X1)),
inference(forward_demodulation,[],[f9088,f7]) ).
fof(f9146,plain,
! [X2,X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),meet(X1,complement(meet(X2,X0)))),
inference(forward_demodulation,[],[f9097,f113]) ).
fof(f9197,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(meet(complement(X0),X1))),
inference(superposition,[],[f8644,f6140]) ).
fof(f9659,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(meet(complement(meet(complement(X0),X2)),X0),X1),
inference(superposition,[],[f5207,f8854]) ).
fof(f9686,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(complement(meet(complement(X0),X2)),meet(X0,X1)),
inference(forward_demodulation,[],[f9659,f7]) ).
fof(f9740,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X0,meet(X1,complement(meet(complement(X0),X2)))),
inference(forward_demodulation,[],[f9686,f113]) ).
fof(f9762,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f8680,f6140]) ).
fof(f9963,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(join(X1,X0),X0)),complement(join(X0,X1))),
inference(superposition,[],[f8685,f359]) ).
fof(f9985,plain,
! [X0,X1] : complement(meet(X0,X1)) = meet(complement(join(meet(X0,X1),meet(X1,X0))),complement(meet(X0,X1))),
inference(superposition,[],[f8685,f2975]) ).
fof(f10035,plain,
! [X2,X0,X1] : meet(X2,complement(join(X0,X1))) = meet(X2,meet(complement(join(X0,X1)),complement(join(X1,X0)))),
inference(superposition,[],[f5078,f8685]) ).
fof(f10052,plain,
! [X2,X0,X1] : meet(X2,complement(join(X1,X0))) = meet(X2,complement(join(X0,X1))),
inference(forward_demodulation,[],[f10035,f8685]) ).
fof(f10084,plain,
! [X0,X1] : complement(meet(X0,X1)) = meet(complement(meet(X0,X1)),complement(join(meet(X0,X1),meet(X1,X0)))),
inference(forward_demodulation,[],[f9985,f5]) ).
fof(f10106,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(join(join(X1,X0),X0))),
inference(forward_demodulation,[],[f9963,f5]) ).
fof(f10155,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(join(meet(X0,X1),meet(X1,X0))),
inference(forward_demodulation,[],[f10084,f8680]) ).
fof(f10177,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(join(X0,join(X1,X0)))),
inference(forward_demodulation,[],[f10106,f10052]) ).
fof(f10213,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f10155,f2975]) ).
fof(f10227,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X0,join(X1,X0))),
inference(forward_demodulation,[],[f10177,f8686]) ).
fof(f10239,plain,
! [X0,X1] : complement(join(X0,X1)) = complement(join(X1,X0)),
inference(forward_demodulation,[],[f10227,f89]) ).
fof(f10576,plain,
! [X0,X1] : meet(X1,complement(meet(complement(X0),X1))) = meet(X0,meet(X1,complement(meet(complement(X0),X1)))),
inference(superposition,[],[f8458,f6140]) ).
fof(f10628,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(X1),meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f8458,f10213]) ).
fof(f10722,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(X1)),
inference(forward_demodulation,[],[f10628,f9146]) ).
fof(f10758,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,complement(meet(complement(X0),X1))),
inference(forward_demodulation,[],[f10576,f9740]) ).
fof(f10950,plain,
! [X0,X1] : join(meet(complement(X0),complement(X1)),meet(complement(X0),join(X0,meet(complement(X0),complement(X1))))) = meet(complement(X0),join(X0,complement(meet(complement(X0),X1)))),
inference(superposition,[],[f3724,f10722]) ).
fof(f10956,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),X1))) = join(meet(complement(X0),complement(X1)),meet(complement(X0),join(X0,meet(complement(X0),complement(X1))))),
inference(forward_demodulation,[],[f10950,f9197]) ).
fof(f11023,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),X1))) = meet(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f10956,f2823]) ).
fof(f11064,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = meet(complement(X0),join(complement(X1),X0)),
inference(forward_demodulation,[],[f11023,f10722]) ).
fof(f11111,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(complement(X1),join(X0,X1)),
inference(superposition,[],[f11064,f6140]) ).
fof(f11192,plain,
! [X0,X1] : meet(complement(X0),complement(meet(complement(X0),complement(X1)))) = meet(complement(X0),complement(join(complement(X1),X0))),
inference(superposition,[],[f10722,f11064]) ).
fof(f11193,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(complement(X0),complement(meet(complement(X0),complement(X1)))),
inference(forward_demodulation,[],[f11192,f8616]) ).
fof(f11242,plain,
! [X0,X1] : complement(join(complement(X1),X0)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[],[f11193,f10722]) ).
fof(f11282,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(complement(X1),X0)),
inference(forward_demodulation,[],[f11242,f6140]) ).
fof(f11384,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f4483,f11111]) ).
fof(f11428,plain,
! [X0,X1] : meet(complement(X0),complement(join(X1,X0))) = meet(complement(X0),complement(meet(complement(X0),X1))),
inference(superposition,[],[f10722,f11111]) ).
fof(f11429,plain,
! [X0,X1] : meet(complement(X0),complement(join(X1,X0))) = meet(complement(X0),complement(X1)),
inference(forward_demodulation,[],[f11428,f10722]) ).
fof(f11493,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(X1)),
inference(forward_demodulation,[],[f11429,f8616]) ).
fof(f11649,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),X1)),
inference(superposition,[],[f11384,f6140]) ).
fof(f12265,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(X1,complement(X0))),
inference(superposition,[],[f11493,f6140]) ).
fof(f12312,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(superposition,[],[f5,f11493]) ).
fof(f12327,plain,
! [X2,X0,X1] : meet(X2,complement(join(X0,X1))) = meet(complement(X1),meet(complement(X0),X2)),
inference(superposition,[],[f113,f11493]) ).
fof(f12328,plain,
! [X2,X0,X1] : meet(X2,complement(join(X0,X1))) = meet(complement(X0),meet(X2,complement(X1))),
inference(superposition,[],[f113,f11493]) ).
fof(f12628,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f10722,f11649]) ).
fof(f12649,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[],[f12628,f9762]) ).
fof(f12717,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f12649,f11282]) ).
fof(f12836,plain,
! [X2,X0,X1] : meet(X0,complement(meet(X0,meet(X1,X2)))) = meet(complement(meet(X2,X1)),X0),
inference(superposition,[],[f12717,f5078]) ).
fof(f12875,plain,
! [X0,X1] : meet(complement(X1),complement(complement(join(X0,X1)))) = meet(complement(complement(X0)),complement(X1)),
inference(superposition,[],[f12717,f11493]) ).
fof(f12927,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(complement(X0),X1))) = meet(complement(X2),join(meet(complement(meet(X1,X0)),X1),X2)),
inference(superposition,[],[f5243,f12717]) ).
fof(f12959,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(complement(X0),X1))) = meet(complement(X2),meet(complement(meet(X1,X0)),X1)),
inference(forward_demodulation,[],[f12927,f11111]) ).
fof(f12986,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(complement(X1),complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f12875,f11493]) ).
fof(f13020,plain,
! [X2,X0,X1] : meet(complement(meet(X2,X1)),X0) = meet(X0,complement(meet(X1,X2))),
inference(forward_demodulation,[],[f12836,f10722]) ).
fof(f13035,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(complement(X0),X1))) = meet(complement(X2),meet(X1,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f12959,f5078]) ).
fof(f13050,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = complement(join(complement(join(X0,X1)),X1)),
inference(forward_demodulation,[],[f12986,f11493]) ).
fof(f13090,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(complement(X0),X1))) = meet(X1,complement(join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f13035,f12328]) ).
fof(f13099,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = complement(join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f13050,f10239]) ).
fof(f13130,plain,
! [X2,X0,X1] : meet(complement(X2),meet(complement(X0),X1)) = meet(X1,complement(join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f13090,f11384]) ).
fof(f13135,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(join(X0,X1),complement(X1)),
inference(forward_demodulation,[],[f13099,f12265]) ).
fof(f13155,plain,
! [X2,X0,X1] : meet(X1,complement(join(X0,X2))) = meet(X1,complement(join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f13130,f12327]) ).
fof(f13158,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(complement(X1),join(X0,X1)),
inference(forward_demodulation,[],[f13135,f5]) ).
fof(f13167,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f13158,f11111]) ).
fof(f13178,plain,
! [X2,X0,X1] : meet(complement(X2),join(X0,complement(X1))) = complement(join(X2,meet(complement(X0),X1))),
inference(superposition,[],[f13167,f13167]) ).
fof(f14090,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = meet(complement(meet(complement(X1),complement(X0))),complement(meet(complement(X0),X1))),
inference(superposition,[],[f10758,f10758]) ).
fof(f14228,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = meet(complement(meet(X1,complement(X0))),complement(meet(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f14090,f13020]) ).
fof(f14334,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = complement(join(meet(complement(X1),complement(X0)),meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f14228,f11493]) ).
fof(f14420,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = complement(join(meet(X1,complement(X0)),meet(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f14334,f10239]) ).
fof(f14477,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = meet(complement(meet(X1,complement(X0))),join(X1,complement(complement(X0)))),
inference(forward_demodulation,[],[f14420,f13178]) ).
fof(f14522,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = meet(join(X1,complement(complement(X0))),complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f14477,f5]) ).
fof(f14555,plain,
! [X0,X1] : meet(complement(meet(complement(X1),complement(X0))),X0) = meet(join(X1,X0),complement(meet(X1,complement(X0)))),
inference(forward_demodulation,[],[f14522,f6140]) ).
fof(f14577,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(X1,complement(X0)))) = meet(X0,complement(meet(complement(X1),complement(X0)))),
inference(forward_demodulation,[],[f14555,f5]) ).
fof(f14593,plain,
! [X0,X1] : meet(join(X1,X0),complement(meet(X1,complement(X0)))) = X0,
inference(forward_demodulation,[],[f14577,f9011]) ).
fof(f14720,plain,
! [X0,X1] : meet(complement(X0),complement(complement(join(X0,X1)))) = meet(complement(complement(X1)),complement(X0)),
inference(superposition,[],[f12717,f12312]) ).
fof(f14721,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),complement(complement(join(X0,X1)))),
inference(forward_demodulation,[],[f14720,f11493]) ).
fof(f14790,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = complement(join(complement(join(X0,X1)),X0)),
inference(forward_demodulation,[],[f14721,f11493]) ).
fof(f14828,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = complement(join(X0,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f14790,f10239]) ).
fof(f14855,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[],[f14828,f12265]) ).
fof(f14871,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = meet(X1,complement(X0)),
inference(forward_demodulation,[],[f14855,f12265]) ).
fof(f14883,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f14871,f5]) ).
fof(f14975,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(complement(X1),join(X0,X1)),
inference(superposition,[],[f4483,f14883]) ).
fof(f15021,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(X0,complement(X1)))) = meet(complement(X2),join(meet(join(X1,X0),complement(X1)),X2)),
inference(superposition,[],[f5243,f14883]) ).
fof(f15037,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(X0,complement(X1)))) = meet(complement(X2),meet(join(X1,X0),complement(X1))),
inference(forward_demodulation,[],[f15021,f11111]) ).
fof(f15128,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(X0,complement(X1)))) = meet(complement(X2),meet(complement(X1),join(X0,X1))),
inference(forward_demodulation,[],[f15037,f5134]) ).
fof(f15197,plain,
! [X2,X0,X1] : meet(complement(X2),join(X2,meet(X0,complement(X1)))) = meet(join(X0,X1),complement(join(X1,X2))),
inference(forward_demodulation,[],[f15128,f12327]) ).
fof(f15249,plain,
! [X2,X0,X1] : meet(complement(X2),meet(X0,complement(X1))) = meet(join(X0,X1),complement(join(X1,X2))),
inference(forward_demodulation,[],[f15197,f11384]) ).
fof(f15287,plain,
! [X2,X0,X1] : meet(X0,complement(join(X2,X1))) = meet(join(X0,X1),complement(join(X1,X2))),
inference(forward_demodulation,[],[f15249,f12328]) ).
fof(f15384,plain,
! [X2,X0,X1] : meet(complement(join(X1,meet(X0,X2))),join(X0,X1)) = meet(X0,complement(join(X1,meet(X0,X2)))),
inference(superposition,[],[f14975,f173]) ).
fof(f15555,plain,
! [X2,X0,X1] : meet(X0,complement(join(X2,X1))) = meet(complement(join(X1,meet(X0,X2))),join(X0,X1)),
inference(forward_demodulation,[],[f15384,f13155]) ).
fof(f15615,plain,
! [X2,X0,X1] : meet(X0,complement(join(X2,X1))) = meet(join(X0,X1),complement(join(X1,meet(X0,X2)))),
inference(forward_demodulation,[],[f15555,f5]) ).
fof(f15663,plain,
! [X2,X0,X1] : meet(X0,complement(join(X2,X1))) = meet(X0,complement(join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f15615,f15287]) ).
fof(f17206,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),complement(meet(X0,complement(join(meet(X0,X2),X1))))),
inference(superposition,[],[f14593,f148]) ).
fof(f17392,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),complement(meet(X0,complement(join(X2,X1))))),
inference(forward_demodulation,[],[f17206,f15663]) ).
fof(f42197,plain,
! [X2,X0,X1] : meet(join(X0,X2),complement(meet(X0,complement(join(X1,X2))))) = meet(join(X0,X2),complement(complement(join(X2,X1)))),
inference(superposition,[],[f10722,f15287]) ).
fof(f42234,plain,
! [X2,X0,X1] : meet(join(X0,X2),join(X2,X1)) = meet(join(X0,X2),complement(meet(X0,complement(join(X1,X2))))),
inference(forward_demodulation,[],[f42197,f6140]) ).
fof(f42429,plain,
! [X2,X0,X1] : join(meet(X0,X1),X2) = meet(join(X0,X2),join(X2,X1)),
inference(forward_demodulation,[],[f42234,f17392]) ).
fof(f42990,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X2),X1)) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f42429,f4]) ).
fof(f43163,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f104,f42429]) ).
fof(f43447,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(forward_demodulation,[],[f42990,f43163]) ).
fof(f44268,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(superposition,[],[f13,f43447]) ).
fof(f44362,plain,
$false,
inference(trivial_inequality_removal,[],[f44268]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : LAT211-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.37 % Computer : n018.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8046.5625MB
% 0.13/0.37 % OS : Linux 6.8.0-71-generic
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Sun Sep 27 14:08:23 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.41 Running first-order theorem proving
% 0.13/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.85/2.62 % (2380824)Input is clausal, will run a generic CNF schedule.
% 12.85/2.62 % (2380926)dis-21_1_sil=8000:lcm=predicate:random_seed=1347313456:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 12.85/2.62 % (2380926)Refutation not found, incomplete strategy
% 12.85/2.62 % (2380926)------------------------------
% 12.85/2.62 % (2380926)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.62 % (2380926)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.62 % (2380926)CaDiCaL version: 2.1.3
% 12.85/2.62 % (2380926)Termination reason: Refutation not found, incomplete strategy
% 12.85/2.62 % (2380926)Time elapsed: 0.001 s
% 12.85/2.62 % (2380926)Peak memory usage: 88 MB
% 12.85/2.62 % (2380926)Instructions burned: 1 (million)
% 12.85/2.62 % (2380920)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=3184510448:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 12.85/2.62 % (2380922)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2433658812:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 12.85/2.62 % (2380923)lrs+10_1_sil=8000:sp=occurrence:random_seed=511081358:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 12.85/2.62 % (2380921)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2711076658:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 12.85/2.62 % (2380924)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2047370246:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 12.85/2.62 % (2380925)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1657776210:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 12.85/2.62 % (2380923)Instruction limit reached!
% 12.85/2.62 % (2380923)------------------------------
% 12.85/2.62 % (2380923)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.62 % (2380923)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.62 % (2380923)CaDiCaL version: 2.1.3
% 12.85/2.62 % (2380923)Termination reason: Instruction limit
% 12.85/2.62 % (2380923)Termination phase: Saturation
% 12.85/2.62 % (2380923)Time elapsed: 0.064 s
% 12.85/2.62 % (2380923)Peak memory usage: 88 MB
% 12.85/2.62 % (2380923)Instructions burned: 109 (million)
% 12.85/2.62 % (2380924)Instruction limit reached!
% 12.85/2.62 % (2380924)------------------------------
% 12.85/2.62 % (2380924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.62 % (2380924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.62 % (2380924)CaDiCaL version: 2.1.3
% 12.85/2.62 % (2380924)Termination reason: Instruction limit
% 12.85/2.62 % (2380924)Termination phase: Saturation
% 12.85/2.62 % (2380924)Time elapsed: 0.070 s
% 12.85/2.62 % (2380924)Peak memory usage: 89 MB
% 12.85/2.62 % (2380924)Instructions burned: 115 (million)
% 12.85/2.62 % (2380926)------------------------------
% 12.85/2.62 % (2380926)------------------------------
% 12.85/2.62 % (2380925)Instruction limit reached!
% 12.85/2.62 % (2380925)------------------------------
% 12.85/2.62 % (2380925)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.62 % (2380925)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.62 % (2380925)CaDiCaL version: 2.1.3
% 12.85/2.62 % (2380925)Termination reason: Instruction limit
% 12.85/2.62 % (2380925)Termination phase: Saturation
% 12.85/2.62 % (2380925)Time elapsed: 0.120 s
% 12.85/2.62 % (2380925)Peak memory usage: 89 MB
% 12.85/2.62 % (2380925)Instructions burned: 182 (million)
% 12.85/2.62 % (2380945)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2977677001:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 12.85/2.62 % (2380945)Refutation not found, incomplete strategy
% 12.85/2.62 % (2380945)------------------------------
% 12.85/2.62 % (2380945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.85/2.62 % (2380945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.85/2.62 % (2380945)CaDiCaL version: 2.1.3
% 12.85/2.62 % (2380945)Termination reason: Refutation not found, incomplete strategy
% 12.85/2.62 % (2380945)Time elapsed: 0.001 s
% 25.37/4.38 % (2380945)Peak memory usage: 88 MB
% 25.37/4.38 % (2380945)Instructions burned: 1 (million)
% 25.37/4.38 % (2380944)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=1262616481:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 25.37/4.38 % (2380944)Refutation not found, incomplete strategy
% 25.37/4.38 % (2380944)------------------------------
% 25.37/4.38 % (2380944)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380944)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380944)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380944)Termination reason: Refutation not found, incomplete strategy
% 25.37/4.38 % (2380944)Time elapsed: 0.001 s
% 25.37/4.38 % (2380944)Peak memory usage: 88 MB
% 25.37/4.38 % (2380950)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1079441325:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 25.37/4.38 % (2380950)Refutation not found, incomplete strategy
% 25.37/4.38 % (2380950)------------------------------
% 25.37/4.38 % (2380950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380950)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380950)Termination reason: Refutation not found, incomplete strategy
% 25.37/4.38 % (2380950)Time elapsed: 0.001 s
% 25.37/4.38 % (2380950)Peak memory usage: 88 MB
% 25.37/4.38 % (2380945)------------------------------
% 25.37/4.38 % (2380945)------------------------------
% 25.37/4.38 % (2380955)lrs+10_64_to=lpo:sil=8000:random_seed=577052136:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 25.37/4.38 % (2380944)------------------------------
% 25.37/4.38 % (2380944)------------------------------
% 25.37/4.38 % (2380955)Instruction limit reached!
% 25.37/4.38 % (2380955)------------------------------
% 25.37/4.38 % (2380955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380955)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380955)Termination reason: Instruction limit
% 25.37/4.38 % (2380955)Termination phase: Saturation
% 25.37/4.38 % (2380955)Time elapsed: 0.074 s
% 25.37/4.38 % (2380955)Peak memory usage: 88 MB
% 25.37/4.38 % (2380955)Instructions burned: 127 (million)
% 25.37/4.38 % (2380964)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1888487866:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 25.37/4.38 % (2380950)------------------------------
% 25.37/4.38 % (2380950)------------------------------
% 25.37/4.38 % (2380964)Instruction limit reached!
% 25.37/4.38 % (2380964)------------------------------
% 25.37/4.38 % (2380964)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380964)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380964)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380964)Termination reason: Instruction limit
% 25.37/4.38 % (2380964)Termination phase: Saturation
% 25.37/4.38 % (2380964)Time elapsed: 0.063 s
% 25.37/4.38 % (2380964)Peak memory usage: 89 MB
% 25.37/4.38 % (2380964)Instructions burned: 195 (million)
% 25.37/4.38 % (2380967)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=740353337:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 25.37/4.38 % (2380966)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2369987039:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 25.37/4.38 % (2380970)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4148528123:i=107_2992 on theBenchmark for (2992ds/107Mi)
% 25.37/4.38 % (2380970)Refutation not found, incomplete strategy
% 25.37/4.38 % (2380970)------------------------------
% 25.37/4.38 % (2380970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380970)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380970)Termination reason: Refutation not found, incomplete strategy
% 25.37/4.38 % (2380970)Time elapsed: 0.001 s
% 25.37/4.38 % (2380970)Peak memory usage: 87 MB
% 25.37/4.38 % (2380969)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=702037895:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 25.37/4.38 % (2380966)Instruction limit reached!
% 25.37/4.38 % (2380966)------------------------------
% 25.37/4.38 % (2380966)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380966)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380966)Termination reason: Instruction limit
% 25.37/4.38 % (2380966)Termination phase: Saturation
% 25.37/4.38 % (2380966)Time elapsed: 0.099 s
% 25.37/4.38 % (2380966)Peak memory usage: 90 MB
% 25.37/4.38 % (2380966)Instructions burned: 157 (million)
% 25.37/4.38 % (2380969)Instruction limit reached!
% 25.37/4.38 % (2380969)------------------------------
% 25.37/4.38 % (2380969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380969)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380969)Termination reason: Instruction limit
% 25.37/4.38 % (2380969)Termination phase: Saturation
% 25.37/4.38 % (2380969)Time elapsed: 0.082 s
% 25.37/4.38 % (2380969)Peak memory usage: 89 MB
% 25.37/4.38 % (2380969)Instructions burned: 106 (million)
% 25.37/4.38 % (2380970)------------------------------
% 25.37/4.38 % (2380970)------------------------------
% 25.37/4.38 % (2380983)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2899368023:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2991 on theBenchmark for (2991ds/242Mi)
% 25.37/4.38 % (2380984)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2812739566:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 25.37/4.38 % (2380987)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2952355181:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 25.37/4.38 % (2380987)Instruction limit reached!
% 25.37/4.38 % (2380987)------------------------------
% 25.37/4.38 % (2380987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380987)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380987)Termination reason: Instruction limit
% 25.37/4.38 % (2380987)Termination phase: Saturation
% 25.37/4.38 % (2380987)Time elapsed: 0.070 s
% 25.37/4.38 % (2380987)Peak memory usage: 89 MB
% 25.37/4.38 % (2380987)Instructions burned: 135 (million)
% 25.37/4.38 % (2380983)Instruction limit reached!
% 25.37/4.38 % (2380983)------------------------------
% 25.37/4.38 % (2380983)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2380983)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2380983)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2380983)Termination reason: Instruction limit
% 25.37/4.38 % (2380983)Termination phase: Saturation
% 25.37/4.38 % (2380983)Time elapsed: 0.238 s
% 25.37/4.38 % (2380983)Peak memory usage: 91 MB
% 25.37/4.38 % (2380983)Instructions burned: 242 (million)
% 25.37/4.38 % (2381000)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3358132440:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 25.37/4.38 % (2381002)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3664863099:i=191:fgj=on:bd=all_2985 on theBenchmark for (2985ds/191Mi)
% 25.37/4.38 % (2381000)Instruction limit reached!
% 25.37/4.38 % (2381000)------------------------------
% 25.37/4.38 % (2381000)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381000)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381000)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381000)Termination reason: Instruction limit
% 25.37/4.38 % (2381000)Termination phase: Saturation
% 25.37/4.38 % (2381000)Time elapsed: 0.219 s
% 25.37/4.38 % (2381000)Peak memory usage: 94 MB
% 25.37/4.38 % (2381000)Instructions burned: 500 (million)
% 25.37/4.38 % (2381002)Instruction limit reached!
% 25.37/4.38 % (2381002)------------------------------
% 25.37/4.38 % (2381002)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381002)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381002)Termination reason: Instruction limit
% 25.37/4.38 % (2381002)Termination phase: Saturation
% 25.37/4.38 % (2381002)Time elapsed: 0.189 s
% 25.37/4.38 % (2381002)Peak memory usage: 91 MB
% 25.37/4.38 % (2381002)Instructions burned: 191 (million)
% 25.37/4.38 % (2381011)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1890166870:i=264:kws=precedence:fsr=off_2982 on theBenchmark for (2982ds/264Mi)
% 25.37/4.38 % (2381011)Instruction limit reached!
% 25.37/4.38 % (2381011)------------------------------
% 25.37/4.38 % (2381011)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381011)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381011)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381011)Termination reason: Instruction limit
% 25.37/4.38 % (2381011)Termination phase: Saturation
% 25.37/4.38 % (2381011)Time elapsed: 0.131 s
% 25.37/4.38 % (2381011)Peak memory usage: 92 MB
% 25.37/4.38 % (2381011)Instructions burned: 265 (million)
% 25.37/4.38 % (2381015)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3492386092:cond=on:i=156:bs=on:gtg=exists_all:er=known_2981 on theBenchmark for (2981ds/156Mi)
% 25.37/4.38 % (2381023)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=1946979862:i=3256:kws=precedence:bd=preordered:av=off_2979 on theBenchmark for (2979ds/3256Mi)
% 25.37/4.38 % (2381015)Instruction limit reached!
% 25.37/4.38 % (2381015)------------------------------
% 25.37/4.38 % (2381015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381015)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381015)Termination reason: Instruction limit
% 25.37/4.38 % (2381015)Termination phase: Saturation
% 25.37/4.38 % (2381015)Time elapsed: 0.154 s
% 25.37/4.38 % (2381015)Peak memory usage: 89 MB
% 25.37/4.38 % (2381015)Instructions burned: 157 (million)
% 25.37/4.38 % (2381028)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3567091772:i=537:av=off:ss=included_2976 on theBenchmark for (2976ds/537Mi)
% 25.37/4.38 % (2381028)Instruction limit reached!
% 25.37/4.38 % (2381028)------------------------------
% 25.37/4.38 % (2381028)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381028)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381028)Termination reason: Instruction limit
% 25.37/4.38 % (2381028)Termination phase: Saturation
% 25.37/4.38 % (2381028)Time elapsed: 0.421 s
% 25.37/4.38 % (2381028)Peak memory usage: 93 MB
% 25.37/4.38 % (2381028)Instructions burned: 537 (million)
% 25.37/4.38 % (2380921)First to succeed.
% 25.37/4.38 % (2380921)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2380824"
% 25.37/4.38 % (2381036)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=414209034:i=180:bd=preordered:av=off_2969 on theBenchmark for (2969ds/180Mi)
% 25.37/4.38 % (2381036)Instruction limit reached!
% 25.37/4.38 % (2381036)------------------------------
% 25.37/4.38 % (2381036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.37/4.38 % (2381036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.37/4.38 % (2381036)CaDiCaL version: 2.1.3
% 25.37/4.38 % (2381036)Termination reason: Instruction limit
% 25.37/4.38 % (2381036)Termination phase: Saturation
% 25.37/4.38 % (2381036)Time elapsed: 0.171 s
% 25.37/4.38 % (2381036)Peak memory usage: 88 MB
% 25.37/4.38 % (2381036)Instructions burned: 180 (million)
% 25.37/4.38 % (2380921)Refutation found. Thanks to Tanya!
% 25.37/4.38 % SZS status Unsatisfiable for theBenchmark
% 25.37/4.38 % SZS output start Proof for theBenchmark
% See solution above
% 25.96/4.59 % (2380921)------------------------------
% 25.96/4.59 % (2380921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 25.96/4.59 % (2380921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 25.96/4.59 % (2380921)CaDiCaL version: 2.1.3
% 25.96/4.59 % (2380921)Termination reason: Refutation
% 25.96/4.59 % (2380921)Time elapsed: 3.096 s
% 25.96/4.59 % (2380921)Peak memory usage: 149 MB
% 25.96/4.59 % (2380921)Instructions burned: 3549 (million)
% 25.96/4.59 % (2380921)------------------------------
% 25.96/4.59 % (2380921)------------------------------
% 25.96/4.59 % (2380824)Success in time 3.628 s
% 25.96/4.59 % Vampire exiting
%------------------------------------------------------------------------------