%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT209-1 : 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 : n014.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 11:46:15 AM UTC 2026
% Result : Unsatisfiable 18.75s 3.53s
% Output : Refutation 19.53s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 11
% Syntax : Number of formulae : 193 ( 185 unt; 0 def)
% Number of atoms : 204 ( 203 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 24 ( 13 ~; 11 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 8 ( 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 : 415 ( 415 !; 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)) = meet(X0,join(X1,meet(X0,join(X2,meet(X0,join(X1,meet(X0,X2))))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H64) ).
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(f21,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f4,f5]) ).
fof(f27,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f3,f6]) ).
fof(f28,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f7,f3]) ).
fof(f36,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f5,f7]) ).
fof(f41,plain,
! [X2,X0,X1] : join(X0,join(meet(X0,X1),X2)) = join(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f57,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f21,f7]) ).
fof(f59,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f8,f21]) ).
fof(f63,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f27,f4]) ).
fof(f69,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f21,f27]) ).
fof(f70,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f7,f27]) ).
fof(f73,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f69,f6]) ).
fof(f75,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f63,f5]) ).
fof(f84,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f28,f5]) ).
fof(f105,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X1,join(X0,meet(X1,join(X2,meet(X0,X1))))))),
inference(superposition,[],[f12,f5]) ).
fof(f111,plain,
! [X2,X0,X1] : meet(X0,join(X2,X1)) = meet(X0,join(X2,meet(X0,join(X1,meet(X0,join(meet(X0,X1),X2)))))),
inference(superposition,[],[f12,f6]) ).
fof(f176,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f8,f9]) ).
fof(f177,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f3,f9]) ).
fof(f178,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f8,f9]) ).
fof(f180,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,join(X1,zero)))))),
inference(superposition,[],[f12,f10]) ).
fof(f183,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f184,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f7,f10]) ).
fof(f185,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(superposition,[],[f28,f10]) ).
fof(f186,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),
inference(forward_demodulation,[],[f180,f183]) ).
fof(f196,plain,
! [X0,X1] : meet(X1,join(X0,complement(X1))) = meet(X1,join(X0,meet(X1,join(complement(X1),meet(X0,X1))))),
inference(superposition,[],[f186,f5]) ).
fof(f278,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f5,f177]) ).
fof(f281,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f21,f177]) ).
fof(f287,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f176,f281]) ).
fof(f320,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f6,f183]) ).
fof(f323,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f27,f183]) ).
fof(f336,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f5,f323]) ).
fof(f354,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f185,f336]) ).
fof(f380,plain,
zero = complement(one),
inference(superposition,[],[f10,f278]) ).
fof(f507,plain,
! [X0,X1] : meet(X0,join(complement(join(X0,X1)),complement(X0))) = meet(X0,join(complement(join(X0,X1)),meet(X0,join(complement(X0),zero)))),
inference(superposition,[],[f186,f354]) ).
fof(f514,plain,
! [X0,X1] : meet(X0,join(complement(join(X0,X1)),complement(X0))) = meet(X0,join(complement(join(X0,X1)),meet(X0,join(zero,complement(X0))))),
inference(forward_demodulation,[],[f507,f6]) ).
fof(f521,plain,
! [X0,X1] : meet(X0,join(complement(join(X0,X1)),complement(X0))) = meet(X0,join(complement(join(X0,X1)),meet(X0,complement(X0)))),
inference(forward_demodulation,[],[f514,f320]) ).
fof(f522,plain,
! [X0,X1] : meet(X0,join(complement(join(X0,X1)),complement(X0))) = meet(X0,join(complement(join(X0,X1)),zero)),
inference(forward_demodulation,[],[f521,f10]) ).
fof(f523,plain,
! [X0,X1] : meet(X0,join(complement(join(X0,X1)),complement(X0))) = meet(X0,join(zero,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f522,f6]) ).
fof(f524,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,join(complement(join(X0,X1)),complement(X0))),
inference(forward_demodulation,[],[f523,f320]) ).
fof(f525,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f524,f6]) ).
fof(f526,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),complement(join(X0,X1)))),
inference(forward_demodulation,[],[f525,f354]) ).
fof(f529,plain,
! [X0,X1] : zero = meet(X1,join(complement(X1),complement(join(X0,X1)))),
inference(superposition,[],[f526,f6]) ).
fof(f591,plain,
! [X0,X1] :
( one != one
| zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(superposition,[],[f11,f287]) ).
fof(f597,plain,
! [X0,X1] :
( zero != meet(X0,join(complement(X0),X1))
| complement(X0) = join(complement(X0),X1) ),
inference(trivial_inequality_removal,[],[f591]) ).
fof(f683,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f41,f6]) ).
fof(f747,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = meet(X0,join(meet(X1,complement(meet(X0,X1))),meet(X0,join(complement(X0),zero)))),
inference(superposition,[],[f186,f184]) ).
fof(f755,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = meet(X0,join(meet(X1,complement(meet(X0,X1))),meet(X0,join(zero,complement(X0))))),
inference(forward_demodulation,[],[f747,f6]) ).
fof(f772,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = meet(X0,join(meet(X1,complement(meet(X0,X1))),meet(X0,complement(X0)))),
inference(forward_demodulation,[],[f755,f320]) ).
fof(f778,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = meet(X0,join(meet(X1,complement(meet(X0,X1))),zero)),
inference(forward_demodulation,[],[f772,f10]) ).
fof(f781,plain,
! [X0,X1] : meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))) = meet(X0,join(zero,meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f778,f6]) ).
fof(f782,plain,
! [X0,X1] : meet(X0,meet(X1,complement(meet(X0,X1)))) = meet(X0,join(meet(X1,complement(meet(X0,X1))),complement(X0))),
inference(forward_demodulation,[],[f781,f320]) ).
fof(f783,plain,
! [X0,X1] : meet(X0,meet(X1,complement(meet(X0,X1)))) = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f782,f6]) ).
fof(f784,plain,
! [X0,X1] : zero = meet(X0,join(complement(X0),meet(X1,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f783,f184]) ).
fof(f789,plain,
! [X0,X1] : zero = meet(X1,join(complement(X1),meet(X0,complement(meet(X0,X1))))),
inference(superposition,[],[f784,f5]) ).
fof(f951,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X1,join(X0,meet(X1,join(meet(X0,X1),X2)))))),
inference(superposition,[],[f111,f5]) ).
fof(f1015,plain,
! [X0,X1] : meet(one,join(X0,X1)) = join(X0,meet(one,join(X1,meet(one,join(meet(one,X1),X0))))),
inference(superposition,[],[f278,f111]) ).
fof(f1017,plain,
! [X0,X1] : meet(one,join(X0,X1)) = join(X0,join(X1,meet(one,join(meet(one,X1),X0)))),
inference(forward_demodulation,[],[f1015,f278]) ).
fof(f1069,plain,
! [X0,X1] : meet(one,join(X0,X1)) = join(X0,join(X1,join(meet(one,X1),X0))),
inference(forward_demodulation,[],[f1017,f278]) ).
fof(f1101,plain,
! [X0,X1] : join(X0,join(X1,X0)) = meet(one,join(X0,X1)),
inference(forward_demodulation,[],[f1069,f59]) ).
fof(f1132,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f1101,f278]) ).
fof(f1360,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,f178]) ).
fof(f1370,plain,
! [X0,X1] :
( zero != meet(X0,join(X1,complement(join(X0,X1))))
| complement(X0) = join(X1,complement(join(X0,X1))) ),
inference(trivial_inequality_removal,[],[f1360]) ).
fof(f1766,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X0,join(meet(X0,X1),meet(X0,join(meet(X0,X1),X2)))))),
inference(superposition,[],[f111,f75]) ).
fof(f2165,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(complement(X0),join(X0,meet(complement(X0),join(X1,zero)))))),
inference(superposition,[],[f105,f10]) ).
fof(f2264,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,meet(complement(X0),join(X0,meet(complement(X0),X1))))),
inference(forward_demodulation,[],[f2165,f183]) ).
fof(f2358,plain,
! [X2,X0,X1] : meet(join(X1,X0),X2) = meet(join(X1,X0),meet(join(X0,X1),X2)),
inference(superposition,[],[f70,f1132]) ).
fof(f2914,plain,
! [X0,X1] : meet(complement(X0),join(complement(join(complement(X0),X1)),X0)) = meet(complement(X0),join(complement(join(complement(X0),X1)),meet(complement(X0),join(X0,zero)))),
inference(superposition,[],[f2264,f354]) ).
fof(f2934,plain,
! [X0,X1] : meet(complement(X0),join(X0,meet(complement(X0),join(X1,X0)))) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f12,f2264]) ).
fof(f2980,plain,
! [X0,X1] : meet(complement(X0),join(complement(join(complement(X0),X1)),X0)) = meet(complement(X0),join(complement(join(complement(X0),X1)),meet(complement(X0),X0))),
inference(forward_demodulation,[],[f2914,f183]) ).
fof(f3011,plain,
! [X0,X1] : meet(complement(X0),join(complement(join(complement(X0),X1)),X0)) = meet(complement(X0),join(complement(join(complement(X0),X1)),meet(X0,complement(X0)))),
inference(forward_demodulation,[],[f2980,f5]) ).
fof(f3036,plain,
! [X0,X1] : meet(complement(X0),join(complement(join(complement(X0),X1)),X0)) = meet(complement(X0),join(complement(join(complement(X0),X1)),zero)),
inference(forward_demodulation,[],[f3011,f10]) ).
fof(f3058,plain,
! [X0,X1] : meet(complement(X0),join(complement(join(complement(X0),X1)),X0)) = meet(complement(X0),join(zero,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f3036,f6]) ).
fof(f3073,plain,
! [X0,X1] : meet(complement(X0),complement(join(complement(X0),X1))) = meet(complement(X0),join(complement(join(complement(X0),X1)),X0)),
inference(forward_demodulation,[],[f3058,f320]) ).
fof(f3082,plain,
! [X0,X1] : meet(complement(X0),complement(join(complement(X0),X1))) = meet(complement(X0),join(X0,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f3073,f6]) ).
fof(f3089,plain,
! [X0,X1] : zero = meet(complement(X0),join(X0,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f3082,f354]) ).
fof(f3125,plain,
! [X0] :
( zero != zero
| complement(complement(X0)) = join(X0,complement(join(complement(X0),X0))) ),
inference(superposition,[],[f1370,f3089]) ).
fof(f3140,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(join(complement(X0),X0))),
inference(trivial_inequality_removal,[],[f3125]) ).
fof(f3152,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(join(X0,complement(X0)))),
inference(forward_demodulation,[],[f3140,f6]) ).
fof(f3169,plain,
! [X0] : join(X0,complement(one)) = complement(complement(X0)),
inference(forward_demodulation,[],[f3152,f9]) ).
fof(f3180,plain,
! [X0] : join(X0,zero) = complement(complement(X0)),
inference(forward_demodulation,[],[f3169,f380]) ).
fof(f3191,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3180,f183]) ).
fof(f3314,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),join(X0,meet(complement(X0),join(X0,X1)))),
inference(superposition,[],[f2934,f6]) ).
fof(f3335,plain,
! [X0,X1] : meet(complement(X0),join(join(X1,X0),X0)) = meet(complement(X0),join(join(X1,X0),meet(complement(X0),join(X0,X1)))),
inference(superposition,[],[f2264,f2934]) ).
fof(f3339,plain,
! [X0,X1] : meet(complement(X0),join(X0,join(X1,X0))) = meet(complement(X0),join(X0,meet(complement(X0),join(join(X1,X0),meet(complement(X0),join(X0,X1)))))),
inference(superposition,[],[f12,f2934]) ).
fof(f3362,plain,
! [X0,X1] : meet(complement(X0),join(X0,join(X1,X0))) = meet(complement(X0),join(X0,meet(complement(X0),join(X1,join(X0,meet(complement(X0),join(X0,X1))))))),
inference(forward_demodulation,[],[f3339,f8]) ).
fof(f3364,plain,
! [X0,X1] : meet(complement(X0),join(join(X1,X0),X0)) = meet(complement(X0),join(X1,join(X0,meet(complement(X0),join(X0,X1))))),
inference(forward_demodulation,[],[f3335,f8]) ).
fof(f3386,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X0,meet(complement(X0),join(X1,join(X0,meet(complement(X0),join(X0,X1))))))),
inference(forward_demodulation,[],[f3362,f73]) ).
fof(f3388,plain,
! [X0,X1] : meet(complement(X0),join(X0,join(X1,X0))) = meet(complement(X0),join(X1,join(X0,meet(complement(X0),join(X0,X1))))),
inference(forward_demodulation,[],[f3364,f6]) ).
fof(f3407,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X1,join(X0,meet(complement(X0),join(X0,X1))))),
inference(forward_demodulation,[],[f3388,f73]) ).
fof(f3421,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X0,meet(complement(X0),join(X1,X0)))),
inference(backward_demodulation,[],[f3386,f3407]) ).
fof(f3470,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f2934,f3421]) ).
fof(f3543,plain,
! [X2,X0,X1] : meet(complement(X2),join(X0,join(X1,X2))) = meet(complement(X2),join(X2,join(X0,X1))),
inference(superposition,[],[f3470,f8]) ).
fof(f3547,plain,
! [X0,X1] : meet(X0,join(X1,complement(X0))) = meet(X0,join(complement(X0),X1)),
inference(superposition,[],[f3470,f3191]) ).
fof(f3764,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),complement(join(X1,X0))) ),
inference(superposition,[],[f597,f529]) ).
fof(f3785,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X1,X0))),
inference(trivial_inequality_removal,[],[f3764]) ).
fof(f3868,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f3785,f4]) ).
fof(f3869,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f3785,f21]) ).
fof(f3893,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(join(X1,X0)),complement(X0)),
inference(superposition,[],[f27,f3785]) ).
fof(f3911,plain,
! [X0,X1] : complement(join(X1,X0)) = meet(complement(X0),complement(join(X1,X0))),
inference(forward_demodulation,[],[f3893,f5]) ).
fof(f3930,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f3869,f6]) ).
fof(f3931,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f3868,f6]) ).
fof(f3964,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(X1,complement(X0)))),
inference(superposition,[],[f3911,f3191]) ).
fof(f3967,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(superposition,[],[f3911,f6]) ).
fof(f4311,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(join(complement(X0),X1))),
inference(superposition,[],[f3967,f3191]) ).
fof(f5287,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),X3) = meet(join(X0,X1),meet(X3,join(X0,join(X1,X2)))),
inference(superposition,[],[f84,f8]) ).
fof(f5290,plain,
! [X2,X0,X1] : meet(complement(X1),X2) = meet(complement(X1),meet(X2,complement(meet(X0,X1)))),
inference(superposition,[],[f84,f3930]) ).
fof(f6066,plain,
! [X2,X0,X1] : join(complement(X0),X2) = join(complement(X0),join(X2,complement(join(X0,X1)))),
inference(superposition,[],[f683,f3967]) ).
fof(f6221,plain,
! [X0,X1] : meet(complement(complement(X0)),complement(meet(X0,X1))) = meet(complement(complement(X0)),join(complement(X0),meet(complement(complement(X0)),complement(meet(X0,X1))))),
inference(superposition,[],[f3314,f3931]) ).
fof(f6301,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f6221,f3191]) ).
fof(f8644,plain,
! [X2,X0,X1] : meet(join(join(X1,X0),X0),X2) = meet(join(join(X1,X0),X0),meet(join(X0,X1),X2)),
inference(superposition,[],[f2358,f1132]) ).
fof(f8805,plain,
! [X2,X0,X1] : meet(join(join(X1,X0),X0),X2) = meet(join(X0,X1),meet(X2,join(join(X1,X0),X0))),
inference(forward_demodulation,[],[f8644,f36]) ).
fof(f8865,plain,
! [X2,X0,X1] : meet(join(X0,join(X1,X0)),X2) = meet(join(X0,X1),meet(X2,join(X0,join(X1,X0)))),
inference(forward_demodulation,[],[f8805,f6]) ).
fof(f8893,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(join(X0,join(X1,X0)),X2),
inference(forward_demodulation,[],[f8865,f5287]) ).
fof(f8902,plain,
! [X2,X0,X1] : meet(join(X0,X1),X2) = meet(join(X1,X0),X2),
inference(forward_demodulation,[],[f8893,f73]) ).
fof(f9108,plain,
! [X2,X3,X0,X1] : meet(X2,join(X1,X0)) = meet(X2,meet(join(X0,X1),join(X2,X3))),
inference(superposition,[],[f84,f8902]) ).
fof(f9138,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f9108,f84]) ).
fof(f9788,plain,
! [X0,X1] :
( zero != zero
| complement(X0) = join(complement(X0),meet(X1,complement(meet(X1,X0)))) ),
inference(superposition,[],[f597,f789]) ).
fof(f9828,plain,
! [X0,X1] : complement(X0) = join(complement(X0),meet(X1,complement(meet(X1,X0)))),
inference(trivial_inequality_removal,[],[f9788]) ).
fof(f10090,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(meet(X1,complement(meet(X1,X0))),complement(X0)),
inference(superposition,[],[f27,f9828]) ).
fof(f10143,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(complement(X0),meet(X1,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f10090,f5]) ).
fof(f10206,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(X1,complement(meet(X1,X0))),
inference(forward_demodulation,[],[f10143,f5290]) ).
fof(f10237,plain,
! [X0,X1] : meet(complement(X1),X0) = meet(X0,join(complement(X0),meet(complement(X1),X0))),
inference(backward_demodulation,[],[f6301,f10206]) ).
fof(f10374,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),X1),
inference(superposition,[],[f10206,f5]) ).
fof(f10392,plain,
! [X0,X1] : meet(X0,complement(meet(X0,join(X1,complement(X0))))) = meet(complement(join(X1,meet(X0,join(complement(X0),meet(X0,X1))))),X0),
inference(superposition,[],[f10206,f186]) ).
fof(f10515,plain,
! [X0,X1] : meet(X0,complement(meet(X0,join(X1,complement(X0))))) = meet(X0,complement(join(X1,meet(X0,join(complement(X0),meet(X0,X1)))))),
inference(forward_demodulation,[],[f10392,f5]) ).
fof(f10575,plain,
! [X0,X1] : meet(complement(join(X1,complement(X0))),X0) = meet(X0,complement(join(X1,meet(X0,join(complement(X0),meet(X0,X1)))))),
inference(forward_demodulation,[],[f10515,f10206]) ).
fof(f10608,plain,
! [X0,X1] : meet(X0,complement(join(X1,complement(X0)))) = meet(X0,complement(join(X1,meet(X0,join(complement(X0),meet(X0,X1)))))),
inference(forward_demodulation,[],[f10575,f5]) ).
fof(f10623,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(X1,meet(X0,join(complement(X0),meet(X0,X1)))))),
inference(forward_demodulation,[],[f10608,f3964]) ).
fof(f10838,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f10237,f3191]) ).
fof(f10989,plain,
! [X0,X1] : meet(X1,join(X0,complement(X1))) = meet(X1,join(X0,meet(X0,X1))),
inference(backward_demodulation,[],[f196,f10838]) ).
fof(f11022,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(X1))),
inference(forward_demodulation,[],[f10989,f4]) ).
fof(f11057,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f3547,f11022]) ).
fof(f11124,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(join(X1,meet(X0,meet(X0,X1))))),
inference(backward_demodulation,[],[f10623,f11057]) ).
fof(f11182,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f11124,f57]) ).
fof(f11265,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X0,X1)),
inference(superposition,[],[f11057,f3191]) ).
fof(f11340,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(join(complement(X0),X1)),X0),
inference(superposition,[],[f10206,f11057]) ).
fof(f11368,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f11340,f5]) ).
fof(f11425,plain,
! [X0,X1] : meet(complement(X0),X1) = meet(complement(X0),join(X1,X0)),
inference(backward_demodulation,[],[f3470,f11265]) ).
fof(f11485,plain,
! [X2,X0,X1] : meet(complement(X2),join(X0,X1)) = meet(complement(X2),join(X0,join(X1,X2))),
inference(backward_demodulation,[],[f3543,f11265]) ).
fof(f11498,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(meet(X0,X1))),
inference(forward_demodulation,[],[f11368,f4311]) ).
fof(f11610,plain,
! [X0,X1] : meet(complement(X1),X0) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[],[f11498,f10206]) ).
fof(f11945,plain,
! [X0,X1] : meet(complement(join(X0,complement(join(X1,X0)))),one) = meet(complement(join(X0,complement(join(X1,X0)))),X1),
inference(superposition,[],[f11425,f178]) ).
fof(f12024,plain,
! [X0,X1] : meet(complement(join(X0,complement(join(X1,X0)))),one) = meet(X1,complement(join(X0,complement(join(X1,X0))))),
inference(forward_demodulation,[],[f11945,f5]) ).
fof(f12056,plain,
! [X0,X1] : meet(X1,meet(join(X1,X0),complement(X0))) = meet(meet(join(X1,X0),complement(X0)),one),
inference(forward_demodulation,[],[f12024,f11182]) ).
fof(f12081,plain,
! [X0,X1] : meet(X1,meet(join(X1,X0),complement(X0))) = meet(one,meet(join(X1,X0),complement(X0))),
inference(forward_demodulation,[],[f12056,f5]) ).
fof(f12094,plain,
! [X0,X1] : meet(join(X1,X0),complement(X0)) = meet(X1,meet(join(X1,X0),complement(X0))),
inference(forward_demodulation,[],[f12081,f278]) ).
fof(f12099,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(join(X1,X0),complement(X0)),
inference(forward_demodulation,[],[f12094,f28]) ).
fof(f12104,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(complement(X0),join(X1,X0)),
inference(forward_demodulation,[],[f12099,f5]) ).
fof(f12497,plain,
! [X0,X1] : meet(complement(complement(X1)),join(X0,X1)) = meet(join(X0,X1),complement(meet(X0,complement(X1)))),
inference(superposition,[],[f10374,f12104]) ).
fof(f12498,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = meet(join(X0,X1),complement(meet(X0,complement(X1)))),
inference(forward_demodulation,[],[f12497,f3191]) ).
fof(f12531,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(X0,complement(X1)))) = X1,
inference(forward_demodulation,[],[f12498,f27]) ).
fof(f12789,plain,
! [X0,X1] : join(X1,complement(X0)) = complement(meet(X0,complement(X1))),
inference(superposition,[],[f3191,f11182]) ).
fof(f12821,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,complement(X0))) = X1,
inference(backward_demodulation,[],[f12531,f12789]) ).
fof(f12909,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = meet(one,join(join(X1,complement(join(X0,X1))),complement(X0))),
inference(superposition,[],[f12821,f178]) ).
fof(f12912,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(join(meet(X0,X2),X1),complement(X0))),
inference(superposition,[],[f12821,f41]) ).
fof(f13034,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(complement(X0),join(meet(X0,X2),X1))),
inference(forward_demodulation,[],[f12912,f9138]) ).
fof(f13037,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = meet(one,join(complement(X0),join(X1,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f12909,f9138]) ).
fof(f13069,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f13037,f278]) ).
fof(f13081,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(complement(X0),X1),
inference(forward_demodulation,[],[f13069,f6066]) ).
fof(f13467,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(complement(complement(X1)),X0),
inference(superposition,[],[f13081,f11610]) ).
fof(f13536,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f13467,f3191]) ).
fof(f14332,plain,
! [X2,X0,X1] : join(X2,join(complement(X1),X0)) = join(join(complement(X1),X0),meet(meet(complement(X0),X1),X2)),
inference(superposition,[],[f13536,f11610]) ).
fof(f14508,plain,
! [X2,X0,X1] : join(X2,join(complement(X1),X0)) = join(complement(X1),join(X0,meet(meet(complement(X0),X1),X2))),
inference(forward_demodulation,[],[f14332,f8]) ).
fof(f14577,plain,
! [X2,X0,X1] : join(X2,join(complement(X1),X0)) = join(complement(X1),join(X0,meet(complement(X0),meet(X1,X2)))),
inference(forward_demodulation,[],[f14508,f7]) ).
fof(f14621,plain,
! [X2,X0,X1] : join(complement(X1),join(meet(X1,X2),X0)) = join(X2,join(complement(X1),X0)),
inference(forward_demodulation,[],[f14577,f13536]) ).
fof(f14648,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(X2,join(complement(X0),X1))),
inference(backward_demodulation,[],[f13034,f14621]) ).
fof(f20487,plain,
! [X2,X0,X1] : meet(complement(complement(join(X0,X1))),join(X2,X1)) = meet(complement(complement(join(X0,X1))),join(X2,join(complement(X0),X1))),
inference(superposition,[],[f11485,f13081]) ).
fof(f20606,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X2,X1)) = meet(join(X0,X1),join(X2,join(complement(X0),X1))),
inference(forward_demodulation,[],[f20487,f3191]) ).
fof(f20646,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(X2,X1)),
inference(forward_demodulation,[],[f20606,f14648]) ).
fof(f20810,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = join(meet(X0,X1),meet(X0,X2)),
inference(superposition,[],[f20646,f4]) ).
fof(f20900,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f28,f20646]) ).
fof(f20911,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),X2)) = meet(X1,join(X0,X2)),
inference(superposition,[],[f84,f20646]) ).
fof(f20967,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X2,meet(X1,join(X0,meet(X1,join(X0,X2)))))),
inference(backward_demodulation,[],[f951,f20911]) ).
fof(f20997,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,meet(X0,join(meet(X0,X1),meet(X0,join(X1,X2)))))),
inference(backward_demodulation,[],[f1766,f20900]) ).
fof(f21221,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,X2),meet(X1,join(X0,meet(X1,join(X0,X2))))),
inference(forward_demodulation,[],[f20967,f20810]) ).
fof(f21258,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = join(meet(X0,X2),meet(X0,join(meet(X0,X1),meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f20997,f20810]) ).
fof(f21404,plain,
! [X2,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,X2),join(meet(X1,X0),meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f21221,f20810]) ).
fof(f21429,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = join(meet(X0,X2),join(meet(X0,meet(X0,X1)),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f21258,f20810]) ).
fof(f21552,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = join(meet(X0,X2),join(meet(X0,X1),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f21429,f75]) ).
fof(f21636,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(X2,X1)),
inference(forward_demodulation,[],[f21552,f21404]) ).
fof(f21691,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = join(meet(X0,X1),meet(X0,X2)),
inference(backward_demodulation,[],[f20810,f21636]) ).
fof(f21773,plain,
meet(a,join(b,c)) != meet(a,join(b,c)),
inference(backward_demodulation,[],[f13,f21691]) ).
fof(f21774,plain,
$false,
inference(trivial_inequality_removal,[],[f21773]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT209-1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n014.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 14:06:02 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 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
% 9.48/2.16 % (844907)Input is clausal, will run a generic CNF schedule.
% 9.48/2.16 % (844916)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3208510002:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.48/2.16 % (844913)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1353842229:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.48/2.16 % (844915)lrs+10_1_sil=8000:sp=occurrence:random_seed=2667883805:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.48/2.16 % (844912)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=2172655877:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.48/2.16 % (844914)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2861971944:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.48/2.16 % (844916)Instruction limit reached!
% 9.48/2.16 % (844916)------------------------------
% 9.48/2.16 % (844916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/2.16 % (844916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/2.16 % (844916)CaDiCaL version: 2.1.3
% 9.48/2.16 % (844916)Termination reason: Instruction limit
% 9.48/2.16 % (844916)Termination phase: Saturation
% 9.48/2.16 % (844916)Time elapsed: 0.038 s
% 9.48/2.16 % (844916)Peak memory usage: 89 MB
% 9.48/2.16 % (844916)Instructions burned: 115 (million)
% 9.48/2.16 % (844917)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3736482554:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.48/2.16 % (844918)dis-21_1_sil=8000:lcm=predicate:random_seed=340458812: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)
% 9.48/2.16 % (844918)Refutation not found, incomplete strategy
% 9.48/2.16 % (844918)------------------------------
% 9.48/2.16 % (844918)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/2.16 % (844918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/2.16 % (844918)CaDiCaL version: 2.1.3
% 9.48/2.16 % (844918)Termination reason: Refutation not found, incomplete strategy
% 9.48/2.16 % (844918)Time elapsed: 0.002 s
% 9.48/2.16 % (844918)Peak memory usage: 88 MB
% 9.48/2.16 % (844918)Instructions burned: 1 (million)
% 9.48/2.16 % (844915)Instruction limit reached!
% 9.48/2.16 % (844915)------------------------------
% 9.48/2.16 % (844915)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/2.16 % (844915)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/2.16 % (844915)CaDiCaL version: 2.1.3
% 9.48/2.16 % (844915)Termination reason: Instruction limit
% 9.48/2.16 % (844915)Termination phase: Saturation
% 9.48/2.16 % (844915)Time elapsed: 0.062 s
% 9.48/2.16 % (844915)Peak memory usage: 88 MB
% 9.48/2.16 % (844915)Instructions burned: 108 (million)
% 9.48/2.16 % (844924)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=3119569831:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.48/2.16 % (844924)Refutation not found, incomplete strategy
% 9.48/2.16 % (844924)------------------------------
% 9.48/2.16 % (844924)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/2.16 % (844924)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/2.16 % (844924)CaDiCaL version: 2.1.3
% 9.48/2.16 % (844924)Termination reason: Refutation not found, incomplete strategy
% 9.48/2.16 % (844924)Time elapsed: 0.001 s
% 9.48/2.16 % (844924)Peak memory usage: 88 MB
% 9.48/2.16 % (844917)Instruction limit reached!
% 9.48/2.16 % (844917)------------------------------
% 9.48/2.16 % (844917)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.48/2.16 % (844917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.48/2.16 % (844917)CaDiCaL version: 2.1.3
% 9.48/2.16 % (844917)Termination reason: Instruction limit
% 9.48/2.16 % (844917)Termination phase: Saturation
% 9.48/2.16 % (844917)Time elapsed: 0.104 s
% 9.48/2.16 % (844917)Peak memory usage: 90 MB
% 9.48/2.16 % (844917)Instructions burned: 182 (million)
% 9.48/2.16 % (844927)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1240008681: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)
% 18.75/3.53 % (844927)Refutation not found, incomplete strategy
% 18.75/3.53 % (844927)------------------------------
% 18.75/3.53 % (844927)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844927)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844927)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844927)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.53 % (844927)Time elapsed: 0.001 s
% 18.75/3.53 % (844927)Peak memory usage: 88 MB
% 18.75/3.53 % (844927)Instructions burned: 1 (million)
% 18.75/3.53 % (844924)------------------------------
% 18.75/3.53 % (844924)------------------------------
% 18.75/3.53 % (844929)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4205070362:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 18.75/3.53 % (844929)Refutation not found, incomplete strategy
% 18.75/3.53 % (844929)------------------------------
% 18.75/3.53 % (844929)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844929)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844929)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844929)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.53 % (844929)Time elapsed: 0.001 s
% 18.75/3.53 % (844929)Peak memory usage: 88 MB
% 18.75/3.53 % (844918)------------------------------
% 18.75/3.53 % (844918)------------------------------
% 18.75/3.53 % (844932)lrs+10_64_to=lpo:sil=8000:random_seed=327869585:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 18.75/3.53 % (844932)Instruction limit reached!
% 18.75/3.53 % (844932)------------------------------
% 18.75/3.53 % (844932)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844932)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844932)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844932)Termination reason: Instruction limit
% 18.75/3.53 % (844932)Termination phase: Saturation
% 18.75/3.53 % (844932)Time elapsed: 0.039 s
% 18.75/3.53 % (844932)Peak memory usage: 88 MB
% 18.75/3.53 % (844932)Instructions burned: 128 (million)
% 18.75/3.53 % (844933)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=567399963:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 18.75/3.53 % (844927)------------------------------
% 18.75/3.53 % (844927)------------------------------
% 18.75/3.53 % (844929)------------------------------
% 18.75/3.53 % (844929)------------------------------
% 18.75/3.53 % (844935)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3082348831:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 18.75/3.53 % (844933)Instruction limit reached!
% 18.75/3.53 % (844933)------------------------------
% 18.75/3.53 % (844933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844933)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844933)Termination reason: Instruction limit
% 18.75/3.53 % (844933)Termination phase: Saturation
% 18.75/3.53 % (844933)Time elapsed: 0.120 s
% 18.75/3.53 % (844933)Peak memory usage: 90 MB
% 18.75/3.53 % (844933)Instructions burned: 195 (million)
% 18.75/3.53 % (844935)Instruction limit reached!
% 18.75/3.53 % (844935)------------------------------
% 18.75/3.53 % (844935)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844935)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844935)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844935)Termination reason: Instruction limit
% 18.75/3.53 % (844935)Termination phase: Saturation
% 18.75/3.53 % (844935)Time elapsed: 0.052 s
% 18.75/3.53 % (844935)Peak memory usage: 90 MB
% 18.75/3.53 % (844935)Instructions burned: 159 (million)
% 18.75/3.53 % (844937)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3049819868:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 18.75/3.53 % (844941)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1803082041:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 18.75/3.53 % (844939)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=3998987098:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 18.75/3.53 % (844940)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3642296635:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 18.75/3.53 % (844940)Refutation not found, incomplete strategy
% 18.75/3.53 % (844940)------------------------------
% 18.75/3.53 % (844940)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844940)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844940)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844940)Termination reason: Refutation not found, incomplete strategy
% 18.75/3.53 % (844940)Time elapsed: 0.001 s
% 18.75/3.53 % (844940)Peak memory usage: 87 MB
% 18.75/3.53 % (844939)Instruction limit reached!
% 18.75/3.53 % (844939)------------------------------
% 18.75/3.53 % (844939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844939)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844939)Termination reason: Instruction limit
% 18.75/3.53 % (844939)Termination phase: Saturation
% 18.75/3.53 % (844939)Time elapsed: 0.067 s
% 18.75/3.53 % (844939)Peak memory usage: 89 MB
% 18.75/3.53 % (844939)Instructions burned: 106 (million)
% 18.75/3.53 % (844941)Instruction limit reached!
% 18.75/3.53 % (844941)------------------------------
% 18.75/3.53 % (844941)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844941)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844941)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844941)Termination reason: Instruction limit
% 18.75/3.53 % (844941)Termination phase: Saturation
% 18.75/3.53 % (844941)Time elapsed: 0.074 s
% 18.75/3.53 % (844941)Peak memory usage: 90 MB
% 18.75/3.53 % (844941)Instructions burned: 243 (million)
% 18.75/3.53 % (844947)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3572050751:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 18.75/3.53 % (844946)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3587496070:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 18.75/3.53 % (844947)Instruction limit reached!
% 18.75/3.53 % (844947)------------------------------
% 18.75/3.53 % (844947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844947)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844947)Termination reason: Instruction limit
% 18.75/3.53 % (844947)Termination phase: Saturation
% 18.75/3.53 % (844947)Time elapsed: 0.041 s
% 18.75/3.53 % (844947)Peak memory usage: 89 MB
% 18.75/3.53 % (844947)Instructions burned: 134 (million)
% 18.75/3.53 % (844940)------------------------------
% 18.75/3.53 % (844940)------------------------------
% 18.75/3.53 % (844950)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2157846443:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 18.75/3.53 % (844951)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1301351983:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 18.75/3.53 % (844950)Instruction limit reached!
% 18.75/3.53 % (844950)------------------------------
% 18.75/3.53 % (844950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844950)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844950)Termination reason: Instruction limit
% 18.75/3.53 % (844950)Termination phase: Saturation
% 18.75/3.53 % (844950)Time elapsed: 0.166 s
% 18.75/3.53 % (844950)Peak memory usage: 95 MB
% 18.75/3.53 % (844950)Instructions burned: 502 (million)
% 18.75/3.53 % (844951)Instruction limit reached!
% 18.75/3.53 % (844951)------------------------------
% 18.75/3.53 % (844951)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844951)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844951)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844951)Termination reason: Instruction limit
% 18.75/3.53 % (844951)Termination phase: Saturation
% 18.75/3.53 % (844951)Time elapsed: 0.122 s
% 18.75/3.53 % (844951)Peak memory usage: 91 MB
% 18.75/3.53 % (844951)Instructions burned: 192 (million)
% 18.75/3.53 % (844954)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2015004786:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 18.75/3.53 % (844954)Instruction limit reached!
% 18.75/3.53 % (844954)------------------------------
% 18.75/3.53 % (844954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844954)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844954)Termination reason: Instruction limit
% 18.75/3.53 % (844954)Termination phase: Saturation
% 18.75/3.53 % (844954)Time elapsed: 0.084 s
% 18.75/3.53 % (844954)Peak memory usage: 92 MB
% 18.75/3.53 % (844954)Instructions burned: 266 (million)
% 18.75/3.53 % (844955)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1930390957:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 18.75/3.53 % (844957)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=2330007945:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 18.75/3.53 % (844955)Instruction limit reached!
% 18.75/3.53 % (844955)------------------------------
% 18.75/3.53 % (844955)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844955)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844955)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844955)Termination reason: Instruction limit
% 18.75/3.53 % (844955)Termination phase: Saturation
% 18.75/3.53 % (844955)Time elapsed: 0.095 s
% 18.75/3.53 % (844955)Peak memory usage: 89 MB
% 18.75/3.53 % (844955)Instructions burned: 156 (million)
% 18.75/3.53 % (844960)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3460530661:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 18.75/3.53 % (844960)Instruction limit reached!
% 18.75/3.53 % (844960)------------------------------
% 18.75/3.53 % (844960)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844960)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844960)Termination reason: Instruction limit
% 18.75/3.53 % (844960)Termination phase: Saturation
% 18.75/3.53 % (844960)Time elapsed: 0.280 s
% 18.75/3.53 % (844960)Peak memory usage: 94 MB
% 18.75/3.53 % (844960)Instructions burned: 537 (million)
% 18.75/3.53 % (844962)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1042664750:i=180:bd=preordered:av=off_2980 on theBenchmark for (2980ds/180Mi)
% 18.75/3.53 % (844962)Instruction limit reached!
% 18.75/3.53 % (844962)------------------------------
% 18.75/3.53 % (844962)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.75/3.53 % (844962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.75/3.53 % (844962)CaDiCaL version: 2.1.3
% 18.75/3.53 % (844962)Termination reason: Instruction limit
% 18.75/3.53 % (844962)Termination phase: Saturation
% 18.75/3.53 % (844962)Time elapsed: 0.100 s
% 18.75/3.53 % (844962)Peak memory usage: 88 MB
% 18.75/3.53 % (844962)Instructions burned: 180 (million)
% 18.75/3.53 % (844964)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=2121304225:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2978 on theBenchmark for (2978ds/10307Mi)
% 18.75/3.53 % (844957)First to succeed.
% 18.75/3.53 % (844957)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-844907"
% 18.75/3.53 % (844957)Refutation found. Thanks to Tanya!
% 18.75/3.53 % SZS status Unsatisfiable for theBenchmark
% 18.75/3.53 % SZS output start Proof for theBenchmark
% See solution above
% 19.53/3.63 % (844957)------------------------------
% 19.53/3.63 % (844957)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.53/3.63 % (844957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.53/3.63 % (844957)CaDiCaL version: 2.1.3
% 19.53/3.63 % (844957)Termination reason: Refutation
% 19.53/3.63 % (844957)Time elapsed: 1.008 s
% 19.53/3.63 % (844957)Peak memory usage: 144 MB
% 19.53/3.63 % (844957)Instructions burned: 2868 (million)
% 19.53/3.63 % (844957)------------------------------
% 19.53/3.63 % (844957)------------------------------
% 19.53/3.63 % (844907)Success in time 2.689 s
% 19.53/3.63 % Vampire exiting
%------------------------------------------------------------------------------