%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT065-10 : TPTP v9.3.1. Released v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n002.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 11:45:56 AM UTC 2026
% Result : Unsatisfiable 55.99s 9.01s
% Output : Refutation 57.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 14
% Syntax : Number of formulae : 269 ( 269 unt; 1 def)
% Number of atoms : 269 ( 263 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 5 con; 0-4 aty)
% Number of variables : 714 ( 714 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f3,axiom,
! [X0] : join(X0,X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idempotence_of_join) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',commutativity_of_join) ).
fof(f8,axiom,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X0,meet(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_meet) ).
fof(f9,axiom,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = n1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',top) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = n0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bottom) ).
fof(f12,axiom,
! [X0,X1] : ifeq(join(X0,X1),n1,ifeq(meet(X0,X1),n0,complement(X0),X1),X1) = X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',complements_are_unique) ).
fof(f13,axiom,
! [X2,X0,X1] : meet(X0,join(meet(X1,join(X2,meet(X0,X1))),meet(X2,join(X0,X1)))) = join(meet(X0,X1),meet(X0,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c94_37) ).
fof(f14,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_distributivity) ).
fof(f15,definition,
~ sP0(join(meet(a,b),meet(a,c))),
introduced(definition,[new_symbols(definition,[sP0])],[inequality_splitting_name_introduction]) ).
fof(f16,plain,
sP0(meet(a,join(b,c))),
inference(inequality_splitting,[],[f14,f15]) ).
fof(f17,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,X1)),meet(X1,join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f13,f7]) ).
fof(f21,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f23,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f29,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f36,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f23,f8]) ).
fof(f38,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f39,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f5,f8]) ).
fof(f43,plain,
! [X2,X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(meet(X0,X1),join(X2,meet(X0,meet(X0,X1)))))),
inference(superposition,[],[f17,f5]) ).
fof(f44,plain,
! [X2,X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(meet(X1,X0),join(X2,meet(X0,meet(X1,X0)))))),
inference(superposition,[],[f17,f23]) ).
fof(f55,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X2,join(X1,X0)),meet(X0,join(X2,meet(X0,X1))))),
inference(superposition,[],[f17,f6]) ).
fof(f60,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,X1)),meet(X1,join(meet(X0,X1),X2)))),
inference(superposition,[],[f17,f7]) ).
fof(f79,plain,
! [X2,X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X1,meet(X0,join(X2,meet(X0,meet(X1,X0))))))),
inference(forward_demodulation,[],[f44,f8]) ).
fof(f80,plain,
! [X2,X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X0,meet(X1,join(X2,meet(X0,meet(X0,X1))))))),
inference(forward_demodulation,[],[f43,f8]) ).
fof(f103,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f9,f5]) ).
fof(f104,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f9,f23]) ).
fof(f106,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f9,f7]) ).
fof(f113,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,X1)))),
inference(superposition,[],[f23,f9]) ).
fof(f117,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f130,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f103,f7]) ).
fof(f152,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(meet(X0,X1),join(X0,X1)),meet(X1,meet(X0,X1)))),
inference(superposition,[],[f17,f3]) ).
fof(f154,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(X1,meet(X0,X1)),meet(meet(X0,X1),join(X0,X1)))),
inference(forward_demodulation,[],[f152,f7]) ).
fof(f156,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(X1,meet(X0,X1)),meet(X0,meet(X1,join(X0,X1))))),
inference(forward_demodulation,[],[f154,f8]) ).
fof(f158,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(X1,meet(X0,X1)),meet(X0,X1))),
inference(forward_demodulation,[],[f156,f21]) ).
fof(f160,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(X0,X1),meet(X1,meet(X0,X1)))),
inference(forward_demodulation,[],[f158,f7]) ).
fof(f161,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,meet(X0,X1))),
inference(forward_demodulation,[],[f160,f23]) ).
fof(f162,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f161,f23]) ).
fof(f163,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X0,meet(X1,join(X2,meet(X0,X1)))))),
inference(backward_demodulation,[],[f80,f162]) ).
fof(f168,plain,
! [X2,X3,X0,X1] : join(X2,X3) = join(X2,join(meet(X0,meet(X1,X2)),X3)),
inference(superposition,[],[f104,f8]) ).
fof(f170,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f104,f7]) ).
fof(f202,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f21,f23]) ).
fof(f209,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f8,f21]) ).
fof(f211,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f23,f21]) ).
fof(f214,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X0,meet(X1,join(X2,meet(X0,X1)))),
inference(superposition,[],[f8,f21]) ).
fof(f215,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X0,X1))),
inference(backward_demodulation,[],[f163,f214]) ).
fof(f217,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f211,f7]) ).
fof(f222,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f202,f6]) ).
fof(f226,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X1,meet(X0,join(X2,meet(X1,X0)))))),
inference(backward_demodulation,[],[f79,f222]) ).
fof(f227,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X0,X2)) = meet(X0,join(meet(X2,X0),meet(X1,X0))),
inference(forward_demodulation,[],[f226,f214]) ).
fof(f250,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f162,f17]) ).
fof(f256,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,meet(X0,X1))),meet(meet(X0,X1),join(X2,meet(X0,X1))))),
inference(superposition,[],[f17,f162]) ).
fof(f262,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,meet(X0,X1))),meet(X0,X1))),
inference(forward_demodulation,[],[f256,f21]) ).
fof(f266,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,join(X0,meet(X0,X1))))),
inference(forward_demodulation,[],[f262,f7]) ).
fof(f268,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(forward_demodulation,[],[f266,f5]) ).
fof(f273,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),meet(X2,X1))),
inference(superposition,[],[f268,f6]) ).
fof(f288,plain,
! [X2,X3,X0,X1] : join(meet(X2,X3),meet(X2,meet(X0,X1))) = meet(X2,join(meet(X2,X3),meet(X0,meet(X1,X2)))),
inference(superposition,[],[f268,f8]) ).
fof(f374,plain,
! [X0,X1] : join(meet(X0,complement(X0)),meet(X0,X1)) = meet(X0,join(meet(X1,n1),meet(complement(X0),join(X1,meet(X0,complement(X0)))))),
inference(superposition,[],[f17,f10]) ).
fof(f375,plain,
! [X0] : meet(X0,n1) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f376,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = join(X0,n1),
inference(superposition,[],[f104,f10]) ).
fof(f377,plain,
! [X0,X1] : join(X0,n1) = join(X0,complement(meet(X0,X1))),
inference(superposition,[],[f103,f10]) ).
fof(f378,plain,
! [X0,X1] : n1 = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f10]) ).
fof(f379,plain,
! [X0,X1] : join(n0,meet(X0,X1)) = meet(X0,join(meet(X1,n1),meet(complement(X0),join(X1,n0)))),
inference(forward_demodulation,[],[f374,f11]) ).
fof(f380,plain,
! [X0,X1] : join(n0,meet(X0,X1)) = meet(X0,join(X1,meet(complement(X0),join(X1,n0)))),
inference(forward_demodulation,[],[f379,f375]) ).
fof(f407,plain,
! [X2,X0,X1] : join(meet(meet(X2,X0),meet(X0,X1)),meet(meet(X2,X0),X0)) = meet(meet(X2,X0),join(join(meet(X0,X1),meet(X0,X2)),meet(meet(X0,X1),join(X0,meet(meet(X2,X0),meet(X0,X1)))))),
inference(superposition,[],[f17,f215]) ).
fof(f409,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X0,X2)),X3) = meet(X0,meet(join(meet(X2,X0),meet(X0,X1)),X3)),
inference(superposition,[],[f8,f215]) ).
fof(f426,plain,
! [X2,X0,X1] : join(meet(meet(X2,X0),meet(X0,X1)),meet(meet(X2,X0),X0)) = meet(X2,meet(X0,join(join(meet(X0,X1),meet(X0,X2)),meet(meet(X0,X1),join(X0,meet(meet(X2,X0),meet(X0,X1))))))),
inference(forward_demodulation,[],[f407,f8]) ).
fof(f451,plain,
! [X2,X0,X1] : join(meet(meet(X2,X0),meet(X0,X1)),meet(meet(X2,X0),X0)) = meet(X2,meet(X0,join(meet(X0,X1),join(meet(X0,X2),meet(meet(X0,X1),join(X0,meet(meet(X2,X0),meet(X0,X1)))))))),
inference(forward_demodulation,[],[f426,f9]) ).
fof(f467,plain,
! [X2,X0,X1] : join(meet(meet(X2,X0),meet(X0,X1)),meet(meet(X2,X0),X0)) = meet(X2,meet(X0,join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f451,f130]) ).
fof(f477,plain,
! [X2,X0,X1] : join(meet(meet(X2,X0),meet(X0,X1)),meet(meet(X2,X0),X0)) = meet(X2,join(meet(X0,X1),meet(X0,X2))),
inference(forward_demodulation,[],[f467,f250]) ).
fof(f484,plain,
! [X2,X0,X1] : meet(X2,join(meet(X0,X1),meet(X0,X2))) = join(meet(meet(X2,X0),X0),meet(meet(X2,X0),meet(X0,X1))),
inference(forward_demodulation,[],[f477,f7]) ).
fof(f488,plain,
! [X2,X0,X1] : meet(meet(X2,X0),X0) = meet(X2,join(meet(X0,X1),meet(X0,X2))),
inference(forward_demodulation,[],[f484,f39]) ).
fof(f490,plain,
! [X2,X0,X1] : meet(X0,meet(X2,X0)) = meet(X2,join(meet(X0,X1),meet(X0,X2))),
inference(forward_demodulation,[],[f488,f6]) ).
fof(f492,plain,
! [X2,X0,X1] : meet(X2,X0) = meet(X2,join(meet(X0,X1),meet(X0,X2))),
inference(forward_demodulation,[],[f490,f222]) ).
fof(f496,plain,
! [X0] : join(X0,n0) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f502,plain,
! [X0] : n0 = meet(X0,n0),
inference(superposition,[],[f162,f11]) ).
fof(f507,plain,
! [X0,X1] : n0 = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f8,f11]) ).
fof(f514,plain,
! [X0,X1] : join(n0,meet(X0,X1)) = meet(X0,join(X1,meet(complement(X0),X1))),
inference(backward_demodulation,[],[f380,f496]) ).
fof(f518,plain,
! [X0,X1] : meet(X0,X1) = join(n0,meet(X0,X1)),
inference(forward_demodulation,[],[f514,f23]) ).
fof(f536,plain,
! [X0] : join(n0,X0) = X0,
inference(superposition,[],[f518,f21]) ).
fof(f613,plain,
! [X0,X1] : n0 = meet(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f507,f6]) ).
fof(f684,plain,
! [X0] : meet(n1,X0) = X0,
inference(superposition,[],[f6,f375]) ).
fof(f687,plain,
! [X0] : n1 = join(n1,X0),
inference(superposition,[],[f23,f375]) ).
fof(f717,plain,
! [X0] : n1 = join(X0,n1),
inference(superposition,[],[f7,f687]) ).
fof(f723,plain,
! [X0,X1] : n1 = join(X0,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f376,f717]) ).
fof(f724,plain,
! [X0,X1] : n1 = join(X0,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f377,f717]) ).
fof(f1001,plain,
! [X2,X3,X0,X1] : meet(join(meet(X0,X1),meet(X1,X2)),X3) = meet(X1,meet(join(meet(X2,X1),meet(X0,X1)),X3)),
inference(superposition,[],[f8,f227]) ).
fof(f1264,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(meet(X0,X1),X2)),
inference(superposition,[],[f8,f222]) ).
fof(f1289,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f1264,f8]) ).
fof(f1783,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(n1,n1,ifeq(meet(X0,join(X1,complement(join(X0,X1)))),n0,complement(X0),join(X1,complement(join(X0,X1)))),join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f12,f378]) ).
fof(f1797,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(meet(X0,join(X1,complement(join(X0,X1)))),n0,complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f1783,f1]) ).
fof(f1846,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f29,f6]) ).
fof(f1857,plain,
! [X0,X1] : meet(X0,n0) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f29,f11]) ).
fof(f1908,plain,
! [X0,X1] : n0 = meet(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f1857,f502]) ).
fof(f1949,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(X1,meet(X2,join(X0,X1))),
inference(superposition,[],[f1846,f7]) ).
fof(f1988,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X1,join(X0,X2)),meet(X0,X1)),
inference(superposition,[],[f23,f1846]) ).
fof(f1991,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X1,join(X0,X2)),join(meet(X0,X1),X3)),
inference(superposition,[],[f104,f1846]) ).
fof(f2016,plain,
! [X2,X3,X0,X1] : join(meet(X1,join(X0,X2)),X3) = join(meet(X0,X1),join(X3,meet(X1,join(X0,X2)))),
inference(forward_demodulation,[],[f1991,f117]) ).
fof(f2018,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = join(meet(X0,X1),meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f1988,f7]) ).
fof(f2202,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = meet(X0,join(meet(complement(meet(X0,X1)),join(X0,X1)),meet(X1,n1))),
inference(superposition,[],[f60,f10]) ).
fof(f2275,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = meet(X0,join(meet(X1,n1),meet(complement(meet(X0,X1)),join(X0,X1)))),
inference(forward_demodulation,[],[f2202,f7]) ).
fof(f2352,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = meet(X0,join(meet(X1,n1),meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2275,f6]) ).
fof(f2416,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = meet(X0,join(X1,meet(join(X0,X1),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f2352,f375]) ).
fof(f2580,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,complement(meet(X0,meet(X1,X0))))) = meet(X0,join(meet(X1,X0),meet(X0,complement(meet(X0,meet(X1,X0)))))),
inference(superposition,[],[f2416,f23]) ).
fof(f2588,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = meet(X0,join(complement(meet(X0,X1)),meet(n1,complement(meet(X0,complement(meet(X0,X1))))))),
inference(superposition,[],[f2416,f724]) ).
fof(f2709,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = meet(X0,join(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2588,f684]) ).
fof(f2717,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,complement(meet(X0,meet(X1,X0))))) = join(meet(X0,complement(meet(X0,meet(X1,X0)))),meet(X0,X1)),
inference(forward_demodulation,[],[f2580,f215]) ).
fof(f2761,plain,
! [X0,X1] : meet(X0,n1) = join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2709,f723]) ).
fof(f2766,plain,
! [X0,X1] : join(meet(X0,meet(X1,X0)),meet(X0,complement(meet(X0,meet(X1,X0))))) = join(meet(X0,X1),meet(X0,complement(meet(X0,meet(X1,X0))))),
inference(forward_demodulation,[],[f2717,f7]) ).
fof(f2796,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f2761,f375]) ).
fof(f2800,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,complement(meet(X1,X0)))) = join(meet(X0,X1),meet(X0,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f2766,f222]) ).
fof(f2875,plain,
! [X0,X1] : join(complement(meet(X0,X1)),X0) = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f104,f2796]) ).
fof(f2905,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2875,f7]) ).
fof(f2928,plain,
! [X0,X1] : n1 = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f2905,f724]) ).
fof(f3017,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(n1,n1,ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),n0,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(superposition,[],[f12,f2928]) ).
fof(f3032,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),n0,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f3017,f1]) ).
fof(f3054,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(X0,meet(complement(meet(X0,complement(meet(X0,X1)))),complement(meet(X0,X1)))),n0,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f3032,f38]) ).
fof(f3067,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(meet(X0,meet(complement(meet(X0,X1)),complement(meet(X0,complement(meet(X0,X1)))))),n0,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f3054,f6]) ).
fof(f3077,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(n0,n0,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f3067,f507]) ).
fof(f3087,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[],[f3077,f1]) ).
fof(f3097,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),complement(complement(meet(X0,X1)))) = X0,
inference(backward_demodulation,[],[f2796,f3087]) ).
fof(f3103,plain,
! [X0,X1] : join(complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f3097,f7]) ).
fof(f3117,plain,
! [X0,X1] : join(complement(complement(meet(X0,X1))),meet(X1,complement(meet(X0,X1)))) = X1,
inference(superposition,[],[f3103,f222]) ).
fof(f3131,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(superposition,[],[f3103,f375]) ).
fof(f3169,plain,
! [X0] : join(complement(complement(X0)),n0) = X0,
inference(forward_demodulation,[],[f3131,f11]) ).
fof(f3184,plain,
! [X0] : join(n0,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f3169,f7]) ).
fof(f3198,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f3184,f536]) ).
fof(f3211,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(backward_demodulation,[],[f3087,f3198]) ).
fof(f3213,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(backward_demodulation,[],[f3103,f3198]) ).
fof(f3215,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X0,X1)))) = X1,
inference(backward_demodulation,[],[f3117,f3198]) ).
fof(f3242,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X1,X0)))) = X0,
inference(backward_demodulation,[],[f2800,f3215]) ).
fof(f3332,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f104,f3213]) ).
fof(f3469,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(X0,X1)) = join(meet(join(meet(X2,X1),meet(X0,X1)),X1),meet(join(meet(X2,X1),meet(X0,X1)),complement(join(meet(X0,X1),meet(X1,X2))))),
inference(superposition,[],[f3242,f227]) ).
fof(f3471,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = join(meet(join(meet(X2,X0),meet(X0,X1)),X0),meet(join(meet(X2,X0),meet(X0,X1)),complement(join(meet(X0,X1),meet(X0,X2))))),
inference(superposition,[],[f3242,f215]) ).
fof(f3520,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = join(meet(X0,join(meet(X2,X0),meet(X0,X1))),meet(join(meet(X2,X0),meet(X0,X1)),complement(join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f3471,f6]) ).
fof(f3522,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(X0,X1)) = join(meet(X1,join(meet(X2,X1),meet(X0,X1))),meet(join(meet(X2,X1),meet(X0,X1)),complement(join(meet(X0,X1),meet(X1,X2))))),
inference(forward_demodulation,[],[f3469,f6]) ).
fof(f3565,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),complement(join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f3520,f215]) ).
fof(f3567,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(X0,X1)) = join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),complement(join(meet(X0,X1),meet(X1,X2))))),
inference(forward_demodulation,[],[f3522,f227]) ).
fof(f3604,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = join(meet(X0,X1),join(meet(X0,X2),meet(join(meet(X2,X0),meet(X0,X1)),complement(join(meet(X0,X1),meet(X0,X2)))))),
inference(forward_demodulation,[],[f3565,f9]) ).
fof(f3606,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(X0,X1)) = join(meet(X0,X1),join(meet(X1,X2),meet(join(meet(X2,X1),meet(X0,X1)),complement(join(meet(X0,X1),meet(X1,X2)))))),
inference(forward_demodulation,[],[f3567,f9]) ).
fof(f4473,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,join(X0,complement(meet(X0,complement(meet(X0,X1)))))),meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))),
inference(superposition,[],[f17,f3211]) ).
fof(f4519,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X2,n1),meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f4473,f724]) ).
fof(f4546,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f4519,f375]) ).
fof(f4685,plain,
! [X2,X3,X0,X1] : join(X3,join(X0,X1)) = join(X3,join(X0,join(X1,meet(X2,X3)))),
inference(superposition,[],[f104,f117]) ).
fof(f4861,plain,
! [X2,X3,X0,X1] : join(join(meet(X1,X2),meet(X1,X0)),X3) = join(join(meet(X1,X2),meet(X1,X0)),join(meet(X0,X1),X3)),
inference(superposition,[],[f104,f492]) ).
fof(f4900,plain,
! [X2,X3,X0,X1] : join(join(meet(X1,X2),meet(X1,X0)),X3) = join(meet(X0,X1),join(X3,join(meet(X1,X2),meet(X1,X0)))),
inference(forward_demodulation,[],[f4861,f117]) ).
fof(f4961,plain,
! [X2,X3,X0,X1] : join(meet(X1,X2),join(meet(X1,X0),X3)) = join(meet(X0,X1),join(X3,join(meet(X1,X2),meet(X1,X0)))),
inference(forward_demodulation,[],[f4900,f9]) ).
fof(f6283,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(meet(X0,X1),join(meet(X2,join(meet(X0,X1),X0)),meet(X0,join(X2,meet(X0,X1))))),
inference(superposition,[],[f55,f162]) ).
fof(f6294,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X2,X1),meet(X0,X1)),join(meet(X3,join(join(meet(X2,X1),meet(X0,X1)),X1)),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))))),
inference(superposition,[],[f55,f227]) ).
fof(f6296,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X2,X0),meet(X0,X1)),join(meet(X3,join(join(meet(X2,X0),meet(X0,X1)),X0)),meet(X0,join(X3,join(meet(X0,X1),meet(X0,X2)))))),
inference(superposition,[],[f55,f215]) ).
fof(f6454,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X2,X0),meet(X0,X1)),join(meet(X3,join(X0,join(meet(X2,X0),meet(X0,X1)))),meet(X0,join(X3,join(meet(X0,X1),meet(X0,X2)))))),
inference(forward_demodulation,[],[f6296,f7]) ).
fof(f6456,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X2,X1),meet(X0,X1)),join(meet(X3,join(X1,join(meet(X2,X1),meet(X0,X1)))),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))))),
inference(forward_demodulation,[],[f6294,f7]) ).
fof(f6467,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(X0,meet(X1,join(meet(X2,join(meet(X0,X1),X0)),meet(X0,join(X2,meet(X0,X1)))))),
inference(forward_demodulation,[],[f6283,f8]) ).
fof(f6566,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X2,X0),meet(X0,X1)),join(meet(X3,join(X0,meet(X0,X1))),meet(X0,join(X3,join(meet(X0,X1),meet(X0,X2)))))),
inference(forward_demodulation,[],[f6454,f104]) ).
fof(f6568,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X2,X1),meet(X0,X1)),join(meet(X3,join(X1,meet(X0,X1))),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))))),
inference(forward_demodulation,[],[f6456,f104]) ).
fof(f6579,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(X0,meet(X1,join(meet(X2,join(X0,meet(X0,X1))),meet(X0,join(X2,meet(X0,X1)))))),
inference(forward_demodulation,[],[f6467,f7]) ).
fof(f6663,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X2,X0),meet(X0,X1)),join(meet(X3,X0),meet(X0,join(X3,join(meet(X0,X1),meet(X0,X2)))))),
inference(forward_demodulation,[],[f6566,f5]) ).
fof(f6665,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X2,X1),meet(X0,X1)),join(meet(X3,X1),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2)))))),
inference(forward_demodulation,[],[f6568,f23]) ).
fof(f6676,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(X0,meet(X1,join(meet(X2,X0),meet(X0,join(X2,meet(X0,X1)))))),
inference(forward_demodulation,[],[f6579,f5]) ).
fof(f6748,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X2,X0),meet(X0,X1)),meet(X0,join(X3,join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f6663,f2018]) ).
fof(f6750,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X2,X1),meet(X0,X1)),meet(X1,join(X3,join(meet(X0,X1),meet(X1,X2))))),
inference(forward_demodulation,[],[f6665,f2018]) ).
fof(f6757,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(X0,meet(X1,meet(X0,join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f6676,f2018]) ).
fof(f6818,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(X0,meet(join(X3,join(meet(X0,X1),meet(X0,X2))),join(meet(X2,X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f6748,f38]) ).
fof(f6820,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(X1,meet(join(X3,join(meet(X0,X1),meet(X1,X2))),join(meet(X2,X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f6750,f38]) ).
fof(f6824,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(meet(X0,X1),X2)) = meet(X1,meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f6757,f1289]) ).
fof(f6871,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(X0,meet(join(meet(X2,X0),meet(X0,X1)),join(X3,join(meet(X0,X1),meet(X0,X2))))),
inference(forward_demodulation,[],[f6818,f6]) ).
fof(f6873,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(X1,meet(join(meet(X2,X1),meet(X0,X1)),join(X3,join(meet(X0,X1),meet(X1,X2))))),
inference(forward_demodulation,[],[f6820,f6]) ).
fof(f6877,plain,
! [X2,X0,X1] : meet(X0,X1) = meet(X1,meet(X0,join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f6824,f5]) ).
fof(f6909,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)) = meet(join(meet(X0,X1),meet(X0,X2)),join(X3,join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f6871,f409]) ).
fof(f6911,plain,
! [X2,X3,X0,X1] : join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)) = meet(join(meet(X0,X1),meet(X1,X2)),join(X3,join(meet(X0,X1),meet(X1,X2)))),
inference(forward_demodulation,[],[f6873,f1001]) ).
fof(f6938,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(join(meet(X0,X1),meet(X0,X2)),meet(join(meet(X2,X0),meet(X0,X1)),X3)),
inference(forward_demodulation,[],[f6909,f21]) ).
fof(f6940,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = join(join(meet(X0,X1),meet(X1,X2)),meet(join(meet(X2,X1),meet(X0,X1)),X3)),
inference(forward_demodulation,[],[f6911,f21]) ).
fof(f6964,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X0,X1),join(meet(X0,X2),meet(join(meet(X2,X0),meet(X0,X1)),X3))),
inference(forward_demodulation,[],[f6938,f9]) ).
fof(f6966,plain,
! [X2,X3,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X0,X1),join(meet(X1,X2),meet(join(meet(X2,X1),meet(X0,X1)),X3))),
inference(forward_demodulation,[],[f6940,f9]) ).
fof(f6990,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = join(meet(X2,X0),meet(X0,X1)),
inference(backward_demodulation,[],[f3604,f6964]) ).
fof(f6998,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = join(meet(X2,X1),meet(X0,X1)),
inference(backward_demodulation,[],[f3606,f6966]) ).
fof(f7134,plain,
! [X2,X0,X1] : join(meet(X0,join(X2,meet(X0,X1))),X1) = join(meet(X0,join(X2,meet(X0,X1))),meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f3332,f6877]) ).
fof(f7138,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X0,join(X1,X2))) = meet(X1,meet(X0,join(X3,meet(X0,join(X1,X2))))),
inference(superposition,[],[f29,f6877]) ).
fof(f7142,plain,
! [X2,X3,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X3,meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f7138,f1846]) ).
fof(f7145,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(X0,X1)))) = join(meet(X0,join(X2,meet(X0,X1))),meet(X1,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f7134,f7]) ).
fof(f7298,plain,
! [X0,X1] : n0 = meet(X1,complement(join(X0,X1))),
inference(superposition,[],[f1908,f217]) ).
fof(f9644,plain,
! [X2,X3,X0,X1] : join(meet(X2,X3),meet(X0,meet(X1,X2))) = meet(X2,join(meet(X2,X3),meet(X0,meet(X1,X2)))),
inference(superposition,[],[f250,f38]) ).
fof(f11136,plain,
! [X2,X0,X1] : join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))) = join(join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))),join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f23,f4546]) ).
fof(f11230,plain,
! [X2,X0,X1] : join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))) = join(join(meet(X0,X1),meet(X0,X2)),join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f11136,f7]) ).
fof(f11318,plain,
! [X2,X0,X1] : join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))) = join(X2,join(meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))),join(meet(X0,X1),meet(X0,X2)))),
inference(forward_demodulation,[],[f11230,f117]) ).
fof(f11375,plain,
! [X2,X0,X1] : join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))) = join(X2,join(meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))),meet(X0,X1))),
inference(forward_demodulation,[],[f11318,f4685]) ).
fof(f11417,plain,
! [X2,X0,X1] : join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))) = join(X2,join(meet(X0,X1),meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1))))),
inference(forward_demodulation,[],[f11375,f7]) ).
fof(f11447,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(complement(meet(X0,complement(meet(X0,X1)))),join(X2,meet(X0,X1)))),
inference(forward_demodulation,[],[f11417,f113]) ).
fof(f11462,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(X2,meet(X0,X1))),
inference(backward_demodulation,[],[f4546,f11447]) ).
fof(f11556,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,join(X0,X1)),meet(X1,join(X2,meet(X0,X1))))) = meet(X0,join(X2,meet(X0,X1))),
inference(backward_demodulation,[],[f17,f11462]) ).
fof(f11616,plain,
! [X2,X3,X0,X1] : join(meet(X1,X2),join(meet(X1,X0),X3)) = join(meet(X0,X1),join(X3,meet(X1,join(X0,meet(X1,X2))))),
inference(backward_demodulation,[],[f4961,f11462]) ).
fof(f11641,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = join(meet(X2,X0),meet(X0,X1)),
inference(backward_demodulation,[],[f6990,f11462]) ).
fof(f11703,plain,
! [X2,X3,X0,X1] : meet(X2,join(meet(X2,X3),meet(X0,meet(X1,X2)))) = meet(X2,join(meet(X0,X1),meet(X2,X3))),
inference(backward_demodulation,[],[f288,f11462]) ).
fof(f11814,plain,
~ sP0(meet(a,join(c,meet(a,b)))),
inference(backward_demodulation,[],[f15,f11462]) ).
fof(f11916,plain,
! [X2,X3,X0,X1] : join(meet(X2,X3),meet(X0,meet(X1,X2))) = meet(X2,join(meet(X0,X1),meet(X2,X3))),
inference(backward_demodulation,[],[f9644,f11703]) ).
fof(f11970,plain,
! [X2,X0,X1] : meet(X1,join(meet(X0,X1),meet(X2,X1))) = meet(X1,join(X0,meet(X1,X2))),
inference(backward_demodulation,[],[f273,f11641]) ).
fof(f11996,plain,
! [X2,X0,X1] : join(meet(X2,X1),meet(X0,X1)) = meet(X1,join(X0,meet(X1,X2))),
inference(backward_demodulation,[],[f6998,f11641]) ).
fof(f12052,plain,
! [X2,X3,X0,X1] : join(meet(X1,X2),join(meet(X1,X0),X3)) = join(meet(X1,join(X0,meet(X1,X2))),X3),
inference(forward_demodulation,[],[f11616,f2016]) ).
fof(f12251,plain,
! [X2,X0,X1] : meet(X1,join(X0,meet(X1,X2))) = meet(X1,meet(X1,join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f11970,f11996]) ).
fof(f12278,plain,
! [X2,X0,X1] : join(X1,meet(X0,join(X2,meet(X0,X1)))) = join(meet(X0,X1),join(meet(X0,X2),meet(X1,complement(meet(X0,X1))))),
inference(backward_demodulation,[],[f7145,f12052]) ).
fof(f12396,plain,
! [X2,X0,X1] : meet(X1,join(X2,meet(X1,X0))) = meet(X1,join(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f12251,f162]) ).
fof(f12701,plain,
! [X3,X0,X1] : meet(X1,join(X3,meet(X0,X1))) = join(meet(X0,X1),meet(X1,X3)),
inference(superposition,[],[f11462,f6877]) ).
fof(f12733,plain,
! [X0,X1] : join(meet(X0,X1),n0) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(superposition,[],[f11462,f11]) ).
fof(f12747,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(X2,meet(X0,join(X1,meet(X0,X2)))),
inference(superposition,[],[f104,f11462]) ).
fof(f12765,plain,
! [X2,X3,X0,X1] : join(X3,meet(X0,join(X1,meet(X0,X2)))) = join(meet(X0,X1),join(X3,meet(X0,X2))),
inference(superposition,[],[f117,f11462]) ).
fof(f12798,plain,
! [X2,X0,X1] : join(X1,meet(X0,X2)) = join(meet(X0,X1),join(meet(X0,X2),meet(X1,complement(meet(X0,X1))))),
inference(backward_demodulation,[],[f12278,f12747]) ).
fof(f12810,plain,
! [X0,X1] : join(n0,meet(X0,X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f12733,f7]) ).
fof(f12881,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f12810,f536]) ).
fof(f12993,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),meet(X0,X1))),
inference(superposition,[],[f12881,f6877]) ).
fof(f13189,plain,
! [X2,X0,X1] : meet(X0,join(meet(X2,join(X0,X1)),meet(X1,join(meet(X0,X1),X2)))) = meet(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f11556,f7]) ).
fof(f13705,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(join(X0,X1)),X0)) = X0,
inference(superposition,[],[f12993,f4]) ).
fof(f13791,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f13705,f7]) ).
fof(f13884,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f209,f13791]) ).
fof(f14096,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f13884,f7]) ).
fof(f14217,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(meet(X0,X1),n0,complement(X0),join(X1,complement(join(X0,X1)))),
inference(backward_demodulation,[],[f1797,f14096]) ).
fof(f14355,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(join(X1,meet(X0,meet(X2,X0))),meet(X2,X0))),
inference(superposition,[],[f12747,f12701]) ).
fof(f14413,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(meet(X2,X0),join(X1,meet(X0,meet(X2,X0))))),
inference(forward_demodulation,[],[f14355,f7]) ).
fof(f14541,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f14413,f170]) ).
fof(f14634,plain,
! [X2,X0,X1] : meet(X0,join(X2,meet(X0,X1))) = meet(X0,join(meet(X2,X0),X1)),
inference(forward_demodulation,[],[f14541,f11641]) ).
fof(f14758,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(meet(X2,join(X0,X1)),meet(X1,join(X0,meet(X1,X2))))),
inference(backward_demodulation,[],[f13189,f14634]) ).
fof(f14865,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(meet(X1,X0),join(meet(X2,join(X0,X1)),meet(X1,X2)))),
inference(forward_demodulation,[],[f14758,f12765]) ).
fof(f14952,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,meet(X0,join(meet(X2,join(X0,X1)),meet(X1,X2))))),
inference(forward_demodulation,[],[f14865,f14634]) ).
fof(f15014,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,meet(X0,join(meet(X1,X2),meet(X2,join(X0,X1)))))),
inference(forward_demodulation,[],[f14952,f7]) ).
fof(f15067,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,meet(X0,meet(X2,join(X1,meet(X2,join(X0,X1))))))),
inference(forward_demodulation,[],[f15014,f11641]) ).
fof(f15110,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(meet(X0,X1),X2)),
inference(forward_demodulation,[],[f15067,f7142]) ).
fof(f15324,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,meet(X1,join(X3,X0)))) = meet(X1,join(X0,join(meet(X1,X2),X3))),
inference(superposition,[],[f15110,f117]) ).
fof(f15696,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(join(X1,complement(join(X0,X1))),meet(X0,X2))),
inference(superposition,[],[f15110,f14096]) ).
fof(f15706,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = meet(X0,join(X1,join(complement(join(X0,X1)),meet(X0,X2)))),
inference(forward_demodulation,[],[f15696,f9]) ).
fof(f15760,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,join(complement(join(X0,X1)),meet(X0,X2)))),
inference(forward_demodulation,[],[f15706,f15110]) ).
fof(f19615,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,X0)) = join(meet(X1,join(X2,X0)),meet(X3,meet(X0,X1))),
inference(superposition,[],[f36,f1949]) ).
fof(f19689,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(meet(X3,X0),meet(X1,join(X2,X0)))),
inference(forward_demodulation,[],[f19615,f11916]) ).
fof(f19779,plain,
! [X2,X3,X0,X1] : meet(X1,join(X2,X0)) = meet(X1,join(X0,join(meet(X1,meet(X3,X0)),X2))),
inference(forward_demodulation,[],[f19689,f15324]) ).
fof(f19834,plain,
! [X2,X0,X1] : meet(X1,join(X0,X2)) = meet(X1,join(X2,X0)),
inference(forward_demodulation,[],[f19779,f168]) ).
fof(f22782,plain,
! [X2,X0,X1] : join(join(X1,complement(join(X0,X1))),meet(X0,X2)) = join(meet(X0,X1),join(meet(X0,X2),meet(join(X1,complement(join(X0,X1))),complement(meet(X0,X1))))),
inference(superposition,[],[f12798,f14096]) ).
fof(f22929,plain,
! [X2,X0,X1] : join(join(X1,complement(join(X0,X1))),meet(X0,X2)) = join(meet(X0,X1),join(meet(X0,X2),meet(complement(meet(X0,X1)),join(X1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f22782,f6]) ).
fof(f23019,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(meet(X0,X1),join(meet(X0,X2),meet(complement(meet(X0,X1)),join(X1,complement(join(X0,X1)))))),
inference(forward_demodulation,[],[f22929,f9]) ).
fof(f25819,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(meet(X1,complement(meet(X1,X0))),join(X0,X2)),
inference(superposition,[],[f106,f3332]) ).
fof(f26053,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X0,join(X2,meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f25819,f117]) ).
fof(f26101,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f26053,f9]) ).
fof(f30898,plain,
! [X0,X1] : join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1))) = ifeq(meet(X0,meet(X1,complement(meet(X1,X0)))),n0,complement(X0),join(meet(X1,complement(meet(X1,X0))),complement(join(X0,X1)))),
inference(superposition,[],[f14217,f3332]) ).
fof(f30967,plain,
! [X0,X1] : join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0)))) = ifeq(meet(X0,meet(X1,complement(meet(X1,X0)))),n0,complement(X0),join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f30898,f7]) ).
fof(f31048,plain,
! [X0,X1] : join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0)))) = ifeq(n0,n0,complement(X0),join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0))))),
inference(forward_demodulation,[],[f30967,f613]) ).
fof(f31114,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),meet(X1,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f31048,f1]) ).
fof(f31325,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = join(X1,complement(X0)),
inference(superposition,[],[f130,f31114]) ).
fof(f31333,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(X1,join(complement(meet(X1,X0)),meet(X1,complement(join(X0,X1))))),
inference(superposition,[],[f12396,f31114]) ).
fof(f31418,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(X1,join(complement(meet(X1,X0)),n0)),
inference(forward_demodulation,[],[f31333,f7298]) ).
fof(f31453,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(meet(X0,X1),join(meet(X0,X2),meet(complement(meet(X0,X1)),join(X1,complement(X0))))),
inference(backward_demodulation,[],[f23019,f31325]) ).
fof(f31603,plain,
! [X0,X1] : meet(X1,complement(X0)) = meet(X1,join(n0,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f31418,f19834]) ).
fof(f31633,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(meet(X0,X1),join(meet(X0,X2),meet(join(X1,complement(X0)),complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f31453,f6]) ).
fof(f31747,plain,
! [X0,X1] : meet(X1,complement(meet(X1,X0))) = meet(X1,complement(X0)),
inference(forward_demodulation,[],[f31603,f536]) ).
fof(f31870,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(X1))),
inference(backward_demodulation,[],[f3332,f31747]) ).
fof(f31926,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X0,join(X2,meet(X1,complement(X0)))),
inference(backward_demodulation,[],[f26101,f31747]) ).
fof(f32161,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(meet(X0,X1),join(join(X1,complement(X0)),meet(X0,X2))),
inference(backward_demodulation,[],[f31633,f31926]) ).
fof(f32369,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(meet(X0,X1),join(X1,join(complement(X0),meet(X0,X2)))),
inference(forward_demodulation,[],[f32161,f9]) ).
fof(f32591,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(X1,join(join(complement(X0),meet(X0,X2)),meet(X0,X1))),
inference(forward_demodulation,[],[f32369,f117]) ).
fof(f32720,plain,
! [X2,X0,X1] : join(X1,join(complement(join(X0,X1)),meet(X0,X2))) = join(X1,join(complement(X0),meet(X0,X2))),
inference(forward_demodulation,[],[f32591,f170]) ).
fof(f32818,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,join(complement(X0),meet(X0,X2)))),
inference(backward_demodulation,[],[f15760,f32720]) ).
fof(f33080,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X1,X0)),
inference(superposition,[],[f31870,f3198]) ).
fof(f33234,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,join(complement(X1),X0)),
inference(backward_demodulation,[],[f12993,f33080]) ).
fof(f33420,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(superposition,[],[f33080,f6]) ).
fof(f33577,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(X0,join(X1,join(complement(X0),X2))),
inference(backward_demodulation,[],[f32818,f33420]) ).
fof(f33817,plain,
! [X2,X0,X1] : meet(join(X2,X0),X1) = meet(X1,join(X0,join(complement(X1),X2))),
inference(superposition,[],[f33234,f117]) ).
fof(f33978,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(X0,X2))) = meet(join(X2,X1),X0),
inference(backward_demodulation,[],[f33577,f33817]) ).
fof(f34560,plain,
~ sP0(meet(join(b,c),a)),
inference(backward_demodulation,[],[f11814,f33978]) ).
fof(f34621,plain,
~ sP0(meet(a,join(b,c))),
inference(forward_demodulation,[],[f34560,f6]) ).
fof(f35288,plain,
$false,
inference(forward_subsumption_resolution,[],[f34621,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : LAT065-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.43 % Computer : n002.cluster.edu
% 0.18/0.43 % Model : x86_64 x86_64
% 0.18/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.43 % Memory : 8046.5625MB
% 0.18/0.43 % OS : Linux 6.8.0-71-generic
% 0.18/0.43 % CPULimit : 300
% 0.18/0.43 % WCLimit : 300
% 0.18/0.43 % DateTime : Sun Sep 27 14:01:52 UTC 2026
% 0.18/0.43 % CPUTime :
% 0.18/0.43 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.18/0.46 Running first-order theorem proving
% 0.18/0.46 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 55.99/9.01 % (3548738)Detected a unit-equality problem, will run specialized UEQ schedule.
% 55.99/9.01 % (3548755)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=3574354818:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 55.99/9.01 % (3548752)lrs+1002_1_ncem=casc2026/models/loop7.pt:sil=128000:tgt=ground:npcc=on:drc=off:sp=reverse_frequency:spb=goal:acc=on:s2agt=16:kmz=on:sac=on:random_seed=1864039075:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 55.99/9.01 % (3548756)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2174022143:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 55.99/9.01 % (3548753)lrs+11_1_ncem=casc2026/models/loop6.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2766415171:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 55.99/9.01 % (3548754)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=3220425094:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 55.99/9.01 % (3548757)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=2667309976:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 55.99/9.01 % (3548758)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=2472620045:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 55.99/9.01 % (3548755)Instruction limit reached!
% 55.99/9.01 % (3548755)------------------------------
% 55.99/9.01 % (3548755)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548755)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548755)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548755)Termination reason: Instruction limit
% 55.99/9.01 % (3548755)Termination phase: Saturation
% 55.99/9.01 % (3548755)Time elapsed: 0.102 s
% 55.99/9.01 % (3548755)Peak memory usage: 89 MB
% 55.99/9.01 % (3548755)Instructions burned: 136 (million)
% 55.99/9.01 % (3548756)Instruction limit reached!
% 55.99/9.01 % (3548756)------------------------------
% 55.99/9.01 % (3548756)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548756)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548756)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548756)Termination reason: Instruction limit
% 55.99/9.01 % (3548756)Termination phase: Saturation
% 55.99/9.01 % (3548756)Time elapsed: 0.169 s
% 55.99/9.01 % (3548756)Peak memory usage: 89 MB
% 55.99/9.01 % (3548756)Instructions burned: 182 (million)
% 55.99/9.01 % (3548766)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=1209036398:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2997 on theBenchmark for (2997ds/2051Mi)
% 55.99/9.01 % (3548757)Instruction limit reached!
% 55.99/9.01 % (3548757)------------------------------
% 55.99/9.01 % (3548757)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548757)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548757)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548757)Termination reason: Instruction limit
% 55.99/9.01 % (3548757)Termination phase: Saturation
% 55.99/9.01 % (3548757)Time elapsed: 0.267 s
% 55.99/9.01 % (3548757)Peak memory usage: 90 MB
% 55.99/9.01 % (3548757)Instructions burned: 257 (million)
% 55.99/9.01 % (3548767)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=3859289209:i=4948:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/4948Mi)
% 55.99/9.01 % (3548769)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=2541585238:i=215:ep=RSTC_2995 on theBenchmark for (2995ds/215Mi)
% 55.99/9.01 % (3548769)Instruction limit reached!
% 55.99/9.01 % (3548769)------------------------------
% 55.99/9.01 % (3548769)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548769)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548769)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548769)Termination reason: Instruction limit
% 55.99/9.01 % (3548769)Termination phase: Saturation
% 55.99/9.01 % (3548769)Time elapsed: 0.192 s
% 55.99/9.01 % (3548769)Peak memory usage: 90 MB
% 55.99/9.01 % (3548769)Instructions burned: 216 (million)
% 55.99/9.01 % (3548772)lrs+11_1_sil=16000:tgt=full:fde=none:sp=reverse_frequency:lma=off:fs=off:acc=on:bsr=unit_only:rp=on:random_seed=3096669215:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2990 on theBenchmark for (2990ds/317Mi)
% 55.99/9.01 % (3548758)Instruction limit reached!
% 55.99/9.01 % (3548758)------------------------------
% 55.99/9.01 % (3548758)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548758)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548758)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548758)Termination reason: Instruction limit
% 55.99/9.01 % (3548758)Termination phase: Saturation
% 55.99/9.01 % (3548758)Time elapsed: 1.060 s
% 55.99/9.01 % (3548758)Peak memory usage: 99 MB
% 55.99/9.01 % (3548758)Instructions burned: 1188 (million)
% 55.99/9.01 % (3548772)Instruction limit reached!
% 55.99/9.01 % (3548772)------------------------------
% 55.99/9.01 % (3548772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548772)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548772)Termination reason: Instruction limit
% 55.99/9.01 % (3548772)Termination phase: Saturation
% 55.99/9.01 % (3548772)Time elapsed: 0.343 s
% 55.99/9.01 % (3548772)Peak memory usage: 94 MB
% 55.99/9.01 % (3548772)Instructions burned: 317 (million)
% 55.99/9.01 % (3548774)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:sp=arity:lcm=predicate:urr=on:s2agt=16:br=off:random_seed=1873196418:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2987 on theBenchmark for (2987ds/12125Mi)
% 55.99/9.01 % (3548777)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=4025783942:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2985 on theBenchmark for (2985ds/2836Mi)
% 55.99/9.01 % (3548766)Instruction limit reached!
% 55.99/9.01 % (3548766)------------------------------
% 55.99/9.01 % (3548766)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548766)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548766)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548766)Termination reason: Instruction limit
% 55.99/9.01 % (3548766)Termination phase: Saturation
% 55.99/9.01 % (3548766)Time elapsed: 1.911 s
% 55.99/9.01 % (3548766)Peak memory usage: 141 MB
% 55.99/9.01 % (3548766)Instructions burned: 2051 (million)
% 55.99/9.01 % (3548780)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=985910839:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2976 on theBenchmark for (2976ds/14534Mi)
% 55.99/9.01 % (3548777)Instruction limit reached!
% 55.99/9.01 % (3548777)------------------------------
% 55.99/9.01 % (3548777)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548777)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548777)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548777)Termination reason: Instruction limit
% 55.99/9.01 % (3548777)Termination phase: Saturation
% 55.99/9.01 % (3548777)Time elapsed: 3.022 s
% 55.99/9.01 % (3548777)Peak memory usage: 145 MB
% 55.99/9.01 % (3548777)Instructions burned: 2836 (million)
% 55.99/9.01 % (3548784)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=2608165469:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2952 on theBenchmark for (2952ds/11832Mi)
% 55.99/9.01 % (3548767)Instruction limit reached!
% 55.99/9.01 % (3548767)------------------------------
% 55.99/9.01 % (3548767)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.99/9.01 % (3548767)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.99/9.01 % (3548767)CaDiCaL version: 2.1.3
% 55.99/9.01 % (3548767)Termination reason: Instruction limit
% 55.99/9.01 % (3548767)Termination phase: Saturation
% 55.99/9.01 % (3548767)Time elapsed: 5.019 s
% 55.99/9.01 % (3548767)Peak memory usage: 162 MB
% 55.99/9.01 % (3548767)Instructions burned: 4948 (million)
% 55.99/9.01 % (3548786)lrs+10_1_to=lpo:ncem=casc2026/models/loop6.pt:sil=32000:npcc=on:drc=off:fde=unused:sp=const_min:spb=goal:fd=preordered:random_seed=2968169009:i=2279:fgj=on:bd=all_2943 on theBenchmark for (2943ds/2279Mi)
% 55.99/9.01 % (3548780)First to succeed.
% 55.99/9.01 % (3548780)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3548738"
% 55.99/9.01 % (3548780)Refutation found. Thanks to Tanya!
% 55.99/9.01 % SZS status Unsatisfiable for theBenchmark
% 55.99/9.01 % SZS output start Proof for theBenchmark
% See solution above
% 57.08/9.30 % (3548780)------------------------------
% 57.08/9.30 % (3548780)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.08/9.30 % (3548780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.08/9.30 % (3548780)CaDiCaL version: 2.1.3
% 57.08/9.30 % (3548780)Termination reason: Refutation
% 57.08/9.30 % (3548780)Time elapsed: 4.897 s
% 57.08/9.30 % (3548780)Peak memory usage: 161 MB
% 57.08/9.30 % (3548780)Instructions burned: 4732 (million)
% 57.08/9.30 % (3548780)------------------------------
% 57.08/9.30 % (3548780)------------------------------
% 57.08/9.30 % (3548738)Success in time 7.893 s
% 57.08/9.30 % Vampire exiting
%------------------------------------------------------------------------------