%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT206-10 : TPTP v9.3.1. Released v7.5.0.
% 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 74.31s 12.69s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 69
% Number of leaves : 14
% Syntax : Number of formulae : 347 ( 347 unt; 1 def)
% Number of atoms : 347 ( 340 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 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 : 961 ( 961 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
fof(f2,axiom,
! [X0] : meet(X0,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',idempotence_of_meet) ).
fof(f4,axiom,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption1) ).
fof(f5,axiom,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',absorption2) ).
fof(f6,axiom,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',commutativity_of_meet) ).
fof(f7,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',associativity_of_join) ).
fof(f10,axiom,
! [X0] : join(X0,complement(X0)) = one,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_join) ).
fof(f11,axiom,
! [X0] : meet(X0,complement(X0)) = zero,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',complement_meet) ).
fof(f12,axiom,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X0,X1),zero,complement(X0),X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',meet_join_complement) ).
fof(f13,axiom,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(X1,X3))) = meet(X0,join(X1,meet(join(X1,X2),join(X3,meet(X0,X1))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H60) ).
fof(f14,negated_conjecture,
meet(a,join(b,c)) != join(meet(a,b),meet(a,c)),
file('/export/starexec/sandbox/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(f20,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f21,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f20,f4]) ).
fof(f25,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f21,f7]) ).
fof(f27,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f28,plain,
! [X2,X0,X1] : meet(X0,meet(join(X0,X1),X2)) = meet(X0,X2),
inference(superposition,[],[f8,f4]) ).
fof(f30,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(X0,X2)),
inference(superposition,[],[f8,f6]) ).
fof(f35,plain,
! [X2,X0,X1] : join(X2,meet(X0,meet(X1,X2))) = X2,
inference(superposition,[],[f20,f8]) ).
fof(f37,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f38,plain,
! [X2,X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(X0,meet(X1,X2))),
inference(superposition,[],[f5,f8]) ).
fof(f45,plain,
! [X2,X3,X0,X1] : meet(X2,meet(join(X0,X1),join(X1,X3))) = meet(X2,join(X1,meet(join(X0,X1),join(X3,meet(X2,X1))))),
inference(superposition,[],[f13,f7]) ).
fof(f49,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(X0,X2),join(X0,X3))) = meet(X1,join(X0,meet(join(X0,X2),join(X3,meet(X0,X1))))),
inference(superposition,[],[f13,f6]) ).
fof(f51,plain,
! [X2,X0,X1] : meet(X0,meet(join(X1,X2),join(X1,X0))) = meet(X0,join(X1,meet(join(X1,X2),X0))),
inference(superposition,[],[f13,f5]) ).
fof(f57,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(X2,X3),join(X2,X0))) = meet(X1,join(X2,meet(join(X0,meet(X1,X2)),join(X2,X3)))),
inference(superposition,[],[f13,f6]) ).
fof(f61,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,meet(join(X1,X2),join(X3,meet(X0,X1)))),X4)) = meet(meet(X0,meet(join(X1,X2),join(X1,X3))),X4),
inference(superposition,[],[f8,f13]) ).
fof(f67,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,meet(join(X1,X2),join(X3,meet(X0,X1)))),X4)) = meet(X0,meet(meet(join(X1,X2),join(X1,X3)),X4)),
inference(forward_demodulation,[],[f61,f8]) ).
fof(f79,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,meet(join(X1,X2),join(X3,meet(X0,X1)))),X4)) = meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))),
inference(forward_demodulation,[],[f67,f8]) ).
fof(f90,plain,
! [X0,X1] : meet(X0,X1) = meet(meet(X0,X1),X0),
inference(superposition,[],[f27,f5]) ).
fof(f91,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f27,f20]) ).
fof(f96,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f8,f27]) ).
fof(f97,plain,
! [X0,X1] : join(X1,X0) = join(join(X1,X0),X0),
inference(superposition,[],[f20,f27]) ).
fof(f100,plain,
! [X0,X1] : join(X1,X0) = join(X0,join(X1,X0)),
inference(forward_demodulation,[],[f97,f7]) ).
fof(f102,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f91,f6]) ).
fof(f103,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f90,f6]) ).
fof(f106,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f9,f5]) ).
fof(f107,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f9,f20]) ).
fof(f109,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f9,f7]) ).
fof(f115,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f5,f9]) ).
fof(f116,plain,
! [X2,X0,X1] : join(X0,X1) = join(X0,join(X1,meet(X2,join(X0,X1)))),
inference(superposition,[],[f20,f9]) ).
fof(f119,plain,
! [X2,X0,X1] : meet(X2,join(X0,join(X1,X2))) = X2,
inference(superposition,[],[f27,f9]) ).
fof(f122,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f123,plain,
! [X2,X0,X1] : join(X0,X1) = meet(join(X0,X1),join(X0,join(X1,X2))),
inference(superposition,[],[f4,f9]) ).
fof(f143,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f27,f106]) ).
fof(f148,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f143,f6]) ).
fof(f192,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f28,f6]) ).
fof(f225,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f107,f7]) ).
fof(f282,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f283,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(one,X1),
inference(superposition,[],[f9,f10]) ).
fof(f287,plain,
! [X0,X1] : join(X0,complement(meet(X1,X0))) = join(X0,one),
inference(superposition,[],[f107,f10]) ).
fof(f289,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f10]) ).
fof(f293,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f294,plain,
! [X0,X1] : meet(X0,meet(complement(X0),X1)) = meet(zero,X1),
inference(superposition,[],[f8,f11]) ).
fof(f295,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(join(complement(X0),X1),join(X2,zero)))),
inference(superposition,[],[f13,f11]) ).
fof(f297,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f103,f11]) ).
fof(f300,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f8,f11]) ).
fof(f301,plain,
! [X0,X1] : meet(X0,zero) = meet(X0,complement(join(X0,X1))),
inference(superposition,[],[f28,f11]) ).
fof(f303,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f301,f297]) ).
fof(f305,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(join(complement(X0),X1),X2))),
inference(backward_demodulation,[],[f295,f293]) ).
fof(f393,plain,
! [X2,X0,X1] : meet(meet(X0,X1),X2) = meet(X1,meet(meet(X0,X1),X2)),
inference(superposition,[],[f8,f102]) ).
fof(f403,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X1,meet(X0,meet(X1,X2))),
inference(forward_demodulation,[],[f393,f8]) ).
fof(f424,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f7,f293]) ).
fof(f427,plain,
! [X0] : zero = meet(zero,X0),
inference(superposition,[],[f27,f293]) ).
fof(f437,plain,
! [X0,X1] : zero = meet(X0,meet(complement(X0),X1)),
inference(backward_demodulation,[],[f294,f427]) ).
fof(f538,plain,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X1,X0),zero,complement(X1),X0),X0) = X0,
inference(superposition,[],[f12,f7]) ).
fof(f594,plain,
! [X0] : one = join(one,X0),
inference(superposition,[],[f20,f282]) ).
fof(f595,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f102,f282]) ).
fof(f606,plain,
! [X0,X1] : one = join(X0,join(complement(X0),X1)),
inference(backward_demodulation,[],[f283,f594]) ).
fof(f616,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f7,f594]) ).
fof(f633,plain,
! [X0,X1] : one = join(X0,complement(meet(X1,X0))),
inference(backward_demodulation,[],[f287,f616]) ).
fof(f644,plain,
! [X0,X1] : one = join(X1,join(X0,complement(X1))),
inference(superposition,[],[f606,f7]) ).
fof(f697,plain,
! [X2,X0,X1] : meet(X1,X2) = meet(X1,meet(X2,join(X0,X1))),
inference(superposition,[],[f192,f7]) ).
fof(f750,plain,
! [X2,X0,X1] : meet(X0,join(X1,meet(join(X1,X2),X0))) = meet(X0,join(X1,X2)),
inference(backward_demodulation,[],[f51,f697]) ).
fof(f761,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f750,f7]) ).
fof(f775,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f750,f6]) ).
fof(f1426,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,meet(X2,X3))) = meet(X2,meet(X3,meet(X0,X1))),
inference(superposition,[],[f8,f37]) ).
fof(f1570,plain,
! [X0,X1] : meet(X1,X0) = join(meet(X1,X0),meet(X0,X1)),
inference(superposition,[],[f38,f102]) ).
fof(f1733,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X0,join(meet(X0,X2),X3))) = meet(X1,join(meet(X0,X2),meet(X0,join(X3,meet(X1,meet(X0,X2)))))),
inference(superposition,[],[f45,f5]) ).
fof(f1777,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X3,X1),join(X1,X2))) = meet(X0,join(X1,meet(join(X3,X1),join(meet(X0,X1),X2)))),
inference(superposition,[],[f45,f7]) ).
fof(f1815,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X1,X2))) = join(X1,meet(join(X0,X1),join(X2,meet(one,X1)))),
inference(superposition,[],[f595,f45]) ).
fof(f1817,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X1,X2))) = join(X1,meet(join(X0,X1),join(X2,X1))),
inference(forward_demodulation,[],[f1815,f595]) ).
fof(f1874,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X1,X2)) = join(X1,meet(join(X0,X1),join(X2,X1))),
inference(forward_demodulation,[],[f1817,f595]) ).
fof(f1959,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),X1),meet(join(X0,X2),join(X0,X3))) = meet(meet(complement(X0),X1),join(X0,meet(join(X0,X2),join(X3,zero)))),
inference(superposition,[],[f49,f437]) ).
fof(f1966,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),join(X0,meet(join(X0,X1),join(X2,zero)))),
inference(superposition,[],[f49,f11]) ).
fof(f2059,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),join(X0,meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f1966,f293]) ).
fof(f2060,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),X1),meet(join(X0,X2),join(X0,X3))) = meet(complement(X0),meet(X1,join(X0,meet(join(X0,X2),join(X3,zero))))),
inference(forward_demodulation,[],[f1959,f8]) ).
fof(f2106,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),X1),meet(join(X0,X2),join(X0,X3))) = meet(complement(X0),meet(X1,join(X0,meet(join(X0,X2),X3)))),
inference(forward_demodulation,[],[f2060,f293]) ).
fof(f2135,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(X1,join(X0,meet(join(X0,X2),X3)))) = meet(complement(X0),meet(X1,meet(join(X0,X2),join(X0,X3)))),
inference(forward_demodulation,[],[f2106,f8]) ).
fof(f2165,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X0,X1),join(X1,X2))) = meet(complement(X1),join(X1,meet(join(X0,X1),X2))),
inference(superposition,[],[f2059,f7]) ).
fof(f2185,plain,
! [X2,X0,X1] : meet(complement(X1),meet(join(X1,X2),join(X1,X0))) = meet(complement(X1),join(X1,meet(X0,join(X1,X2)))),
inference(superposition,[],[f2059,f6]) ).
fof(f2367,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(one,one,ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(X0),join(X1,complement(join(X0,X1)))),join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f12,f289]) ).
fof(f2399,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(X0),join(X1,complement(join(X0,X1)))),
inference(forward_demodulation,[],[f2367,f1]) ).
fof(f2461,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(join(X2,zero),join(complement(X0),X1)))),
inference(superposition,[],[f57,f11]) ).
fof(f2473,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X1,X2),X3),join(meet(X1,X2),meet(X0,X1)))) = meet(X0,join(meet(X1,X2),meet(meet(X0,X1),join(meet(X1,X2),X3)))),
inference(superposition,[],[f57,f38]) ).
fof(f2548,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X0,X2))) = join(X0,meet(join(X2,meet(one,X0)),join(X0,X1))),
inference(superposition,[],[f595,f57]) ).
fof(f2550,plain,
! [X2,X0,X1] : meet(one,meet(join(X0,X1),join(X0,X2))) = join(X0,meet(join(X2,X0),join(X0,X1))),
inference(forward_demodulation,[],[f2548,f595]) ).
fof(f2603,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X1,X2),X3),join(meet(X1,X2),meet(X0,X1)))) = meet(X0,join(meet(X1,X2),meet(X0,meet(X1,join(meet(X1,X2),X3))))),
inference(forward_demodulation,[],[f2473,f8]) ).
fof(f2613,plain,
! [X2,X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),X2))) = meet(X0,join(complement(X0),meet(X2,join(complement(X0),X1)))),
inference(forward_demodulation,[],[f2461,f293]) ).
fof(f2624,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(join(X2,X0),join(X0,X1))),
inference(forward_demodulation,[],[f2550,f595]) ).
fof(f3299,plain,
! [X0,X1] : meet(X0,join(complement(X0),zero)) = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(superposition,[],[f305,f11]) ).
fof(f3377,plain,
! [X0,X1] : meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))) = meet(X0,join(zero,complement(X0))),
inference(forward_demodulation,[],[f3299,f7]) ).
fof(f3424,plain,
! [X0,X1] : meet(X0,complement(X0)) = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f3377,f424]) ).
fof(f3446,plain,
! [X0,X1] : zero = meet(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f3424,f11]) ).
fof(f3850,plain,
! [X2,X3,X0,X1] : meet(join(X1,meet(X2,X0)),X3) = meet(join(X1,meet(X2,X0)),meet(join(X0,X1),X3)),
inference(superposition,[],[f96,f225]) ).
fof(f3878,plain,
! [X2,X3,X0,X1] : meet(join(X1,meet(X2,X0)),X3) = meet(join(X0,X1),meet(X3,join(X1,meet(X2,X0)))),
inference(forward_demodulation,[],[f3850,f37]) ).
fof(f3950,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = meet(X0,join(meet(X0,X1),meet(X2,X0))),
inference(superposition,[],[f148,f20]) ).
fof(f4245,plain,
! [X2,X0,X1] : join(X2,meet(X0,X1)) = join(meet(X1,X0),join(X2,meet(X0,X1))),
inference(superposition,[],[f122,f1570]) ).
fof(f4579,plain,
! [X2,X3,X0,X1,X4] : meet(meet(X0,meet(join(X1,X2),join(X1,X3))),X4) = meet(join(X1,meet(join(X3,meet(X0,X1)),join(X1,X2))),meet(X0,X4)),
inference(superposition,[],[f30,f57]) ).
fof(f4588,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),X3) = meet(join(X0,meet(join(X0,X1),X2)),meet(complement(X0),X3)),
inference(superposition,[],[f30,f2059]) ).
fof(f4721,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),X3) = meet(complement(X0),meet(X3,join(X0,meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f4588,f37]) ).
fof(f4729,plain,
! [X2,X3,X0,X1,X4] : meet(meet(X0,meet(join(X1,X2),join(X1,X3))),X4) = meet(X0,meet(X4,join(X1,meet(join(X3,meet(X0,X1)),join(X1,X2))))),
inference(forward_demodulation,[],[f4579,f37]) ).
fof(f4765,plain,
! [X2,X3,X0,X1] : meet(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),X3) = meet(complement(X0),meet(X3,meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f4721,f2135]) ).
fof(f4771,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(meet(join(X1,X2),join(X1,X3)),X4)) = meet(X0,meet(X4,join(X1,meet(join(X3,meet(X0,X1)),join(X1,X2))))),
inference(forward_demodulation,[],[f4729,f8]) ).
fof(f4789,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(meet(join(X0,X1),join(X0,X2)),X3)) = meet(complement(X0),meet(X3,meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f4765,f8]) ).
fof(f4793,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))) = meet(X0,meet(X4,join(X1,meet(join(X3,meet(X0,X1)),join(X1,X2))))),
inference(forward_demodulation,[],[f4771,f8]) ).
fof(f4801,plain,
! [X2,X3,X0,X1] : meet(complement(X0),meet(join(X0,X1),meet(join(X0,X2),X3))) = meet(complement(X0),meet(X3,meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f4789,f8]) ).
fof(f4862,plain,
! [X0,X1] : join(X1,X0) = meet(join(X1,X0),join(X0,X1)),
inference(superposition,[],[f123,f100]) ).
fof(f5748,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(meet(join(X0,X1),X2),meet(complement(X0),meet(join(X0,X1),join(X0,X2)))),
inference(superposition,[],[f697,f2059]) ).
fof(f5841,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(meet(join(X0,X1),join(X0,X2)),meet(join(X0,X1),X2))),
inference(forward_demodulation,[],[f5748,f37]) ).
fof(f5877,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(meet(join(X0,X1),X2),meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f5841,f6]) ).
fof(f5895,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(join(X0,X1),meet(join(X0,X2),meet(join(X0,X1),X2)))),
inference(forward_demodulation,[],[f5877,f4801]) ).
fof(f5906,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(join(X0,X1),meet(X2,meet(join(X0,X1),join(X0,X2))))),
inference(forward_demodulation,[],[f5895,f1426]) ).
fof(f5911,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(X2,meet(join(X0,X1),join(X0,X2)))),
inference(forward_demodulation,[],[f5906,f403]) ).
fof(f5915,plain,
! [X2,X0,X1] : meet(meet(join(X0,X1),X2),complement(X0)) = meet(complement(X0),meet(X2,join(X0,X1))),
inference(forward_demodulation,[],[f5911,f697]) ).
fof(f5918,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X2,join(X0,X1))) = meet(complement(X0),meet(join(X0,X1),X2)),
inference(forward_demodulation,[],[f5915,f6]) ).
fof(f6925,plain,
! [X0,X1] : ifeq(one,one,ifeq(meet(join(X1,complement(join(X0,X1))),X0),zero,complement(join(X1,complement(join(X0,X1)))),X0),X0) = X0,
inference(superposition,[],[f538,f289]) ).
fof(f6930,plain,
! [X0] : ifeq(one,one,ifeq(meet(complement(X0),X0),zero,complement(complement(X0)),X0),X0) = X0,
inference(superposition,[],[f538,f10]) ).
fof(f6932,plain,
! [X0,X1] : ifeq(one,one,ifeq(meet(complement(meet(X1,X0)),X0),zero,complement(complement(meet(X1,X0))),X0),X0) = X0,
inference(superposition,[],[f538,f633]) ).
fof(f7022,plain,
! [X0,X1] : ifeq(meet(complement(meet(X1,X0)),X0),zero,complement(complement(meet(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f6932,f1]) ).
fof(f7024,plain,
! [X0] : ifeq(meet(complement(X0),X0),zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f6930,f1]) ).
fof(f7029,plain,
! [X0,X1] : ifeq(meet(join(X1,complement(join(X0,X1))),X0),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(forward_demodulation,[],[f6925,f1]) ).
fof(f7068,plain,
! [X0,X1] : ifeq(meet(X0,complement(meet(X1,X0))),zero,complement(complement(meet(X1,X0))),X0) = X0,
inference(forward_demodulation,[],[f7022,f6]) ).
fof(f7070,plain,
! [X0] : ifeq(meet(X0,complement(X0)),zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f7024,f6]) ).
fof(f7073,plain,
! [X0,X1] : ifeq(meet(X0,join(X1,complement(join(X0,X1)))),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(forward_demodulation,[],[f7029,f6]) ).
fof(f7093,plain,
! [X0] : ifeq(zero,zero,complement(complement(X0)),X0) = X0,
inference(forward_demodulation,[],[f7070,f11]) ).
fof(f7101,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f7093,f1]) ).
fof(f7109,plain,
! [X0,X1] : ifeq(meet(X0,complement(meet(X1,X0))),zero,meet(X1,X0),X0) = X0,
inference(backward_demodulation,[],[f7068,f7101]) ).
fof(f7390,plain,
! [X0,X1] : meet(X1,meet(join(complement(X1),X0),join(complement(X1),join(X0,complement(X1))))) = meet(X1,join(complement(X1),join(X0,complement(X1)))),
inference(superposition,[],[f2613,f4862]) ).
fof(f7505,plain,
! [X0,X1] : meet(X1,meet(join(complement(X1),X0),join(X0,complement(X1)))) = meet(X1,join(X0,complement(X1))),
inference(forward_demodulation,[],[f7390,f100]) ).
fof(f7564,plain,
! [X0,X1] : meet(X1,join(complement(X1),X0)) = meet(X1,join(X0,complement(X1))),
inference(forward_demodulation,[],[f7505,f4862]) ).
fof(f7720,plain,
! [X2,X3,X0,X1] : join(X1,X0) = join(X0,join(X1,meet(X2,meet(X3,join(X1,X0))))),
inference(superposition,[],[f35,f109]) ).
fof(f8139,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,meet(X2,join(X0,X1)))),
inference(superposition,[],[f775,f100]) ).
fof(f8167,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(X2,X3))) = meet(X0,join(X2,meet(X0,meet(join(X1,X2),join(X2,X3))))),
inference(superposition,[],[f775,f45]) ).
fof(f8701,plain,
! [X0,X1] : meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) = ifeq(join(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),one,ifeq(zero,zero,complement(X0),meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(superposition,[],[f12,f3446]) ).
fof(f8784,plain,
! [X0,X1] : meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) = ifeq(join(X0,meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),one,complement(X0),meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(forward_demodulation,[],[f8701,f1]) ).
fof(f11073,plain,
! [X2,X0,X1] : meet(X2,meet(X0,join(complement(X0),X1))) = meet(X0,meet(join(X1,complement(X0)),X2)),
inference(superposition,[],[f37,f7564]) ).
fof(f11250,plain,
! [X2,X3,X0,X1] : join(X1,meet(X2,X0)) = meet(join(X1,meet(X2,X0)),join(X3,join(X0,X1))),
inference(superposition,[],[f119,f225]) ).
fof(f12003,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),meet(join(join(X2,X0),X3),join(join(X2,X0),X0))) = meet(join(X0,X1),join(join(X2,X0),meet(join(join(X2,X0),X3),meet(join(X0,X1),join(X0,X2))))),
inference(superposition,[],[f49,f2624]) ).
fof(f12062,plain,
! [X2,X0,X1] : one = join(X0,meet(join(complement(X0),X1),join(complement(X0),X2))),
inference(superposition,[],[f606,f2624]) ).
fof(f12068,plain,
! [X0,X1] : meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))) = ifeq(one,one,complement(X0),meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1))))),
inference(backward_demodulation,[],[f8784,f12062]) ).
fof(f12113,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),meet(join(join(X2,X0),X3),join(join(X2,X0),X0))) = meet(join(X0,X1),join(X2,join(X0,meet(join(join(X2,X0),X3),meet(join(X0,X1),join(X0,X2)))))),
inference(forward_demodulation,[],[f12003,f9]) ).
fof(f12201,plain,
! [X0,X1] : complement(X0) = meet(join(complement(X0),X1),join(complement(X0),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f12068,f1]) ).
fof(f12237,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X0,X2)) = meet(join(X0,X1),meet(join(join(X2,X0),X3),join(join(X2,X0),X0))),
inference(forward_demodulation,[],[f12113,f7720]) ).
fof(f12342,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X0,X2)) = meet(join(X0,X1),meet(join(join(X2,X0),X3),join(X0,join(X2,X0)))),
inference(forward_demodulation,[],[f12237,f7]) ).
fof(f12405,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X0,X2)) = meet(join(X0,X1),meet(join(join(X2,X0),X3),join(X2,X0))),
inference(forward_demodulation,[],[f12342,f100]) ).
fof(f12447,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),join(X0,X2)) = meet(join(X0,X1),meet(join(X2,X0),join(join(X2,X0),X3))),
inference(forward_demodulation,[],[f12405,f6]) ).
fof(f12461,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = meet(join(X0,X1),join(X2,X0)),
inference(forward_demodulation,[],[f12447,f4]) ).
fof(f12484,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(superposition,[],[f12201,f7101]) ).
fof(f12745,plain,
! [X0,X1] : meet(join(X0,X1),join(X1,complement(join(X0,X1)))) = X1,
inference(superposition,[],[f12484,f100]) ).
fof(f12780,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f96,f12484]) ).
fof(f13007,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f12780,f7]) ).
fof(f13201,plain,
! [X0,X1] : ifeq(meet(X0,X1),zero,complement(join(X1,complement(join(X0,X1)))),X0) = X0,
inference(backward_demodulation,[],[f7073,f13007]) ).
fof(f13202,plain,
! [X0,X1] : join(X1,complement(join(X0,X1))) = ifeq(meet(X0,X1),zero,complement(X0),join(X1,complement(join(X0,X1)))),
inference(backward_demodulation,[],[f2399,f13007]) ).
fof(f13322,plain,
! [X0,X1] : ifeq(meet(X0,X1),zero,complement(join(X0,complement(join(X1,X0)))),X1) = X1,
inference(superposition,[],[f13201,f6]) ).
fof(f13659,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,join(meet(X0,X1),complement(X0))),
inference(superposition,[],[f13007,f5]) ).
fof(f13660,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(meet(X1,X0),complement(X0))),
inference(superposition,[],[f13007,f20]) ).
fof(f13851,plain,
! [X0,X1] : meet(X0,meet(X1,X0)) = meet(X0,join(complement(X0),meet(X1,X0))),
inference(forward_demodulation,[],[f13660,f7564]) ).
fof(f13852,plain,
! [X0,X1] : meet(X0,meet(X0,X1)) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f13659,f7564]) ).
fof(f13915,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,join(complement(X0),meet(X1,X0))),
inference(forward_demodulation,[],[f13851,f102]) ).
fof(f13916,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,join(complement(X0),meet(X0,X1))),
inference(forward_demodulation,[],[f13852,f103]) ).
fof(f16321,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X0,join(X2,meet(X0,X1)))),
inference(superposition,[],[f1874,f5]) ).
fof(f17043,plain,
! [X2,X3,X0,X1] : meet(X3,meet(X0,join(meet(X0,X1),X2))) = meet(X3,join(meet(X0,X1),meet(X3,meet(X0,join(meet(X0,X1),X2))))),
inference(superposition,[],[f775,f16321]) ).
fof(f17087,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(meet(X1,X2),X3),join(meet(X1,X2),meet(X0,X1)))) = meet(X0,meet(X1,join(meet(X1,X2),X3))),
inference(backward_demodulation,[],[f2603,f17043]) ).
fof(f19061,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,meet(join(X0,X1),join(X0,X2))),
inference(superposition,[],[f115,f2624]) ).
fof(f19431,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,meet(join(X0,X1),join(X0,X2))),
inference(superposition,[],[f19061,f6]) ).
fof(f20372,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,X0),join(X1,X2)),X3) = meet(meet(join(X1,X0),join(X1,X2)),meet(join(X0,X1),X3)),
inference(superposition,[],[f96,f19431]) ).
fof(f20482,plain,
! [X2,X3,X0,X1] : meet(meet(join(X1,X0),join(X1,X2)),X3) = meet(join(X0,X1),meet(X3,meet(join(X1,X0),join(X1,X2)))),
inference(forward_demodulation,[],[f20372,f37]) ).
fof(f20597,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),meet(X3,meet(join(X1,X0),join(X1,X2)))) = meet(join(X1,X0),meet(join(X1,X2),X3)),
inference(forward_demodulation,[],[f20482,f8]) ).
fof(f21842,plain,
! [X0,X1] : join(complement(join(X0,X1)),complement(join(X0,complement(join(X0,X1))))) = ifeq(zero,zero,complement(X0),join(complement(join(X0,X1)),complement(join(X0,complement(join(X0,X1)))))),
inference(superposition,[],[f13202,f303]) ).
fof(f21974,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(join(X0,complement(join(X0,X1))))),
inference(forward_demodulation,[],[f21842,f1]) ).
fof(f22284,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f4,f21974]) ).
fof(f22288,plain,
! [X0,X1] : complement(X0) = join(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f25,f21974]) ).
fof(f22398,plain,
! [X0,X1] : complement(X0) = join(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f22288,f7]) ).
fof(f22400,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f22284,f6]) ).
fof(f22542,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(superposition,[],[f22398,f7101]) ).
fof(f22560,plain,
! [X0,X1] : complement(X1) = join(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f22398,f100]) ).
fof(f22794,plain,
! [X0,X1] : join(X1,complement(join(X0,complement(X1)))) = X1,
inference(superposition,[],[f22542,f100]) ).
fof(f22833,plain,
! [X2,X0,X1] : meet(complement(join(complement(X0),X1)),X2) = meet(complement(join(complement(X0),X1)),meet(X0,X2)),
inference(superposition,[],[f96,f22542]) ).
fof(f22945,plain,
! [X2,X0,X1] : meet(complement(join(complement(X0),X1)),X2) = meet(X0,meet(X2,complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f22833,f37]) ).
fof(f23051,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X1),complement(join(X0,X1))),
inference(superposition,[],[f22400,f100]) ).
fof(f23277,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,join(complement(join(X1,complement(X0))),complement(X0))),
inference(superposition,[],[f12745,f22794]) ).
fof(f23332,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,join(complement(X0),complement(join(X1,complement(X0))))),
inference(forward_demodulation,[],[f23277,f7564]) ).
fof(f23612,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(meet(X0,X1)),complement(X0)),
inference(superposition,[],[f22560,f5]) ).
fof(f23613,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(meet(X1,X0)),complement(X0)),
inference(superposition,[],[f22560,f20]) ).
fof(f23824,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f23613,f7]) ).
fof(f23825,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f23612,f7]) ).
fof(f23970,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(superposition,[],[f4,f23825]) ).
fof(f23992,plain,
! [X2,X0,X1] : meet(complement(X0),X2) = meet(complement(X0),meet(X2,complement(meet(X0,X1)))),
inference(superposition,[],[f192,f23825]) ).
fof(f24154,plain,
! [X0,X1] : complement(meet(X1,complement(X0))) = join(X0,complement(meet(X1,complement(X0)))),
inference(superposition,[],[f23824,f7101]) ).
fof(f24185,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),X1))) = join(complement(join(X1,complement(X0))),complement(meet(X0,join(complement(X0),X1)))),
inference(superposition,[],[f23824,f7564]) ).
fof(f24294,plain,
! [X0,X1] : complement(complement(X1)) = join(complement(complement(meet(X0,X1))),complement(join(complement(X1),complement(complement(meet(X0,X1)))))),
inference(superposition,[],[f21974,f23824]) ).
fof(f24300,plain,
! [X0,X1] : complement(complement(X1)) = join(meet(X0,X1),complement(join(complement(X1),meet(X0,X1)))),
inference(forward_demodulation,[],[f24294,f7101]) ).
fof(f24376,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X1),meet(X0,X1)))) = X1,
inference(forward_demodulation,[],[f24300,f7101]) ).
fof(f24436,plain,
! [X0,X1] : meet(X0,complement(meet(complement(X0),X1))) = X0,
inference(superposition,[],[f23970,f7101]) ).
fof(f24689,plain,
! [X0,X1] : meet(X1,complement(meet(X0,complement(X1)))) = X1,
inference(superposition,[],[f24436,f13915]) ).
fof(f25374,plain,
! [X2,X0,X1] : join(X2,X1) = meet(join(X2,X1),join(X2,complement(meet(X0,complement(X1))))),
inference(superposition,[],[f123,f24154]) ).
fof(f25900,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(join(X0,X1),join(X0,join(X2,X0)))),
inference(superposition,[],[f2185,f2624]) ).
fof(f26049,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X0,X2))) = meet(complement(X0),meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[],[f25900,f100]) ).
fof(f26485,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),meet(join(X1,one),X3))) = meet(X0,meet(join(X1,meet(join(X1,X2),one)),X3)),
inference(superposition,[],[f79,f594]) ).
fof(f26803,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),meet(join(X1,one),X3))) = meet(X0,meet(join(X1,meet(one,join(X1,X2))),X3)),
inference(forward_demodulation,[],[f26485,f6]) ).
fof(f26967,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),meet(join(X1,one),X3))) = meet(X0,meet(join(X1,join(X1,X2)),X3)),
inference(forward_demodulation,[],[f26803,f595]) ).
fof(f27067,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(join(X1,X2),meet(join(X1,one),X3))),
inference(forward_demodulation,[],[f26967,f25]) ).
fof(f27135,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(join(X1,X2),meet(one,X3))),
inference(forward_demodulation,[],[f27067,f616]) ).
fof(f27159,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(one,meet(X3,join(X1,X2)))),
inference(forward_demodulation,[],[f27135,f37]) ).
fof(f27176,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),X3)) = meet(X0,meet(X3,join(X1,X2))),
inference(forward_demodulation,[],[f27159,f595]) ).
fof(f29386,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X0,X2),meet(X0,X1))),
inference(superposition,[],[f761,f5]) ).
fof(f30035,plain,
! [X2,X3,X0,X1] : meet(join(X2,meet(join(X1,X2),X0)),X0) = meet(join(X2,meet(join(X1,X2),X0)),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(superposition,[],[f29386,f761]) ).
fof(f30096,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,join(meet(X0,X1),meet(X0,X2))),
inference(superposition,[],[f29386,f7]) ).
fof(f30197,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(meet(X2,X3),meet(X2,join(X0,meet(X1,meet(X2,X3))))),join(meet(X2,X3),X0))) = meet(X1,join(meet(X2,X3),meet(join(X0,meet(X1,meet(X2,X3))),X2))),
inference(superposition,[],[f57,f29386]) ).
fof(f30211,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(meet(X2,X3),meet(X2,join(X0,meet(X1,meet(X2,X3))))),join(meet(X2,X3),X0))) = meet(X1,join(meet(X2,X3),meet(X2,join(X0,meet(X1,meet(X2,X3)))))),
inference(forward_demodulation,[],[f30197,f6]) ).
fof(f30333,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(join(X1,X2),X0))) = meet(join(X2,meet(join(X1,X2),X0)),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f30035,f6]) ).
fof(f30376,plain,
! [X2,X3,X0,X1] : meet(X1,meet(join(meet(X2,X3),meet(X2,join(X0,meet(X1,meet(X2,X3))))),join(meet(X2,X3),X0))) = meet(X1,meet(X2,join(meet(X2,X3),X0))),
inference(forward_demodulation,[],[f30211,f1733]) ).
fof(f30451,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,meet(join(X1,X2),X0)),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(forward_demodulation,[],[f30333,f761]) ).
fof(f30476,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X2,join(meet(X2,X3),X0))) = meet(X1,meet(join(meet(X2,X3),X0),join(meet(X2,X3),meet(X2,join(X0,meet(X1,meet(X2,X3))))))),
inference(forward_demodulation,[],[f30376,f27176]) ).
fof(f30733,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X1,X2)) = join(meet(X1,X0),join(meet(X1,X2),meet(X0,X1))),
inference(superposition,[],[f116,f30096]) ).
fof(f30899,plain,
! [X2,X0,X1] : join(meet(X1,X2),meet(X0,X1)) = join(meet(X1,X0),meet(X1,X2)),
inference(forward_demodulation,[],[f30733,f4245]) ).
fof(f35960,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = ifeq(zero,zero,complement(join(X0,complement(join(meet(X1,complement(meet(X0,X1))),X0)))),meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f13322,f300]) ).
fof(f36215,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(meet(X1,complement(meet(X0,X1))),X0)))),
inference(forward_demodulation,[],[f35960,f1]) ).
fof(f36334,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(X0,meet(X1,complement(meet(X0,X1))))))),
inference(forward_demodulation,[],[f36215,f7]) ).
fof(f36622,plain,
! [X0,X1] : join(complement(X0),X1) = meet(join(complement(X0),X1),complement(meet(X0,complement(X1)))),
inference(superposition,[],[f25374,f23825]) ).
fof(f37034,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(meet(X0,complement(X1)),complement(join(complement(X0),X1))),
inference(superposition,[],[f24689,f36622]) ).
fof(f37085,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = ifeq(meet(complement(meet(X0,complement(X1))),complement(join(complement(X0),X1))),zero,join(complement(X0),X1),complement(meet(X0,complement(X1)))),
inference(superposition,[],[f7109,f36622]) ).
fof(f37154,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(X0,meet(complement(X1),complement(join(complement(X0),X1)))),
inference(forward_demodulation,[],[f37034,f8]) ).
fof(f37220,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(complement(join(complement(X0),X1)),complement(X1)),
inference(forward_demodulation,[],[f37154,f22945]) ).
fof(f37263,plain,
! [X0,X1] : meet(X0,complement(X1)) = meet(complement(X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[],[f37220,f6]) ).
fof(f37296,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[],[f37263,f23051]) ).
fof(f37374,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = ifeq(meet(complement(meet(X0,complement(X1))),meet(X0,complement(X1))),zero,join(complement(X0),X1),complement(meet(X0,complement(X1)))),
inference(backward_demodulation,[],[f37085,f37296]) ).
fof(f37392,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X0,X1)))) = X1,
inference(backward_demodulation,[],[f24376,f37296]) ).
fof(f37451,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = ifeq(meet(meet(X0,complement(X1)),complement(meet(X0,complement(X1)))),zero,join(complement(X0),X1),complement(meet(X0,complement(X1)))),
inference(forward_demodulation,[],[f37374,f6]) ).
fof(f37478,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = ifeq(zero,zero,join(complement(X0),X1),complement(meet(X0,complement(X1)))),
inference(forward_demodulation,[],[f37451,f11]) ).
fof(f37488,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(forward_demodulation,[],[f37478,f1]) ).
fof(f38168,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(complement(X0),meet(join(X1,X0),join(X0,X2))),meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2)))))),
inference(superposition,[],[f37392,f2165]) ).
fof(f38169,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2)))))),
inference(superposition,[],[f37392,f2185]) ).
fof(f38189,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X1,X0)))),
inference(superposition,[],[f106,f37392]) ).
fof(f38356,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = complement(join(X0,complement(join(X0,X1)))),
inference(backward_demodulation,[],[f36334,f38189]) ).
fof(f39344,plain,
! [X2,X0,X1] : complement(meet(X2,join(complement(X0),X1))) = join(complement(X2),meet(X0,complement(X1))),
inference(superposition,[],[f37488,f37488]) ).
fof(f39345,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X1),complement(X0)),
inference(superposition,[],[f37488,f7101]) ).
fof(f39355,plain,
! [X0,X1] : join(complement(X1),X0) = complement(meet(complement(X0),X1)),
inference(superposition,[],[f37488,f6]) ).
fof(f39473,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),meet(join(X0,meet(X2,join(X0,X1))),join(complement(meet(join(X0,X1),join(X0,X2))),X0))),
inference(backward_demodulation,[],[f38169,f39355]) ).
fof(f39474,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(complement(X0),meet(join(X1,X0),join(X0,X2))),meet(join(X0,meet(join(X1,X0),X2)),join(complement(meet(join(X1,X0),join(X0,X2))),X0))),
inference(backward_demodulation,[],[f38168,f39355]) ).
fof(f39599,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,complement(meet(X0,join(X1,complement(X0))))),
inference(backward_demodulation,[],[f23332,f39345]) ).
fof(f39636,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),X1))) = complement(meet(join(X1,complement(X0)),meet(X0,join(complement(X0),X1)))),
inference(backward_demodulation,[],[f24185,f39345]) ).
fof(f39745,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(complement(X0),meet(join(X1,X0),join(X0,X2))),meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2)))))),
inference(forward_demodulation,[],[f39474,f12461]) ).
fof(f39746,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(complement(X0),meet(join(X0,X1),join(X0,X2))),meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2)))))),
inference(forward_demodulation,[],[f39473,f12461]) ).
fof(f39805,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),X1))) = complement(meet(X0,meet(join(X1,complement(X0)),join(X1,complement(X0))))),
inference(forward_demodulation,[],[f39636,f11073]) ).
fof(f39877,plain,
! [X0,X1] : complement(meet(X0,join(complement(X0),X1))) = complement(meet(X0,join(X1,complement(X0)))),
inference(forward_demodulation,[],[f39805,f2]) ).
fof(f39915,plain,
! [X0,X1] : complement(meet(X0,join(X1,complement(X0)))) = join(complement(X0),meet(X0,complement(X1))),
inference(forward_demodulation,[],[f39877,f39344]) ).
fof(f39939,plain,
! [X0,X1] : complement(join(X1,complement(X0))) = meet(X0,join(complement(X0),meet(X0,complement(X1)))),
inference(backward_demodulation,[],[f39599,f39915]) ).
fof(f39949,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[],[f39939,f13916]) ).
fof(f39958,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(join(X0,X1),complement(X0)),
inference(backward_demodulation,[],[f38356,f39949]) ).
fof(f40107,plain,
! [X0,X1] : meet(X1,complement(meet(X0,X1))) = meet(complement(X0),join(X0,X1)),
inference(forward_demodulation,[],[f39958,f6]) ).
fof(f41589,plain,
! [X2,X0,X1] : meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2))))) = meet(complement(complement(X0)),join(complement(X0),join(X0,meet(join(X1,X0),X2)))),
inference(superposition,[],[f40107,f2165]) ).
fof(f41590,plain,
! [X2,X0,X1] : meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2))))) = meet(complement(complement(X0)),join(complement(X0),join(X0,meet(X2,join(X0,X1))))),
inference(superposition,[],[f40107,f2185]) ).
fof(f41731,plain,
! [X2,X0,X1] : meet(X2,meet(X0,complement(meet(X1,X0)))) = meet(complement(X1),meet(join(X1,X0),X2)),
inference(superposition,[],[f37,f40107]) ).
fof(f41743,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),meet(X0,complement(meet(X1,X0)))),
inference(superposition,[],[f103,f40107]) ).
fof(f41822,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(complement(X1),X0),
inference(forward_demodulation,[],[f41743,f23992]) ).
fof(f41903,plain,
! [X2,X0,X1] : meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2))))) = meet(complement(complement(X0)),join(X0,join(meet(X2,join(X0,X1)),complement(X0)))),
inference(forward_demodulation,[],[f41590,f122]) ).
fof(f41904,plain,
! [X2,X0,X1] : meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2))))) = meet(complement(complement(X0)),join(X0,join(meet(join(X1,X0),X2),complement(X0)))),
inference(forward_demodulation,[],[f41589,f122]) ).
fof(f41995,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(complement(X1),X0)),
inference(backward_demodulation,[],[f38189,f41822]) ).
fof(f42012,plain,
! [X2,X0,X1] : meet(X2,meet(complement(X1),X0)) = meet(complement(X1),meet(join(X1,X0),X2)),
inference(backward_demodulation,[],[f41731,f41822]) ).
fof(f42298,plain,
! [X2,X0,X1] : meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2))))) = meet(complement(complement(X0)),one),
inference(forward_demodulation,[],[f41903,f644]) ).
fof(f42299,plain,
! [X2,X0,X1] : meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2))))) = meet(complement(complement(X0)),one),
inference(forward_demodulation,[],[f41904,f644]) ).
fof(f42435,plain,
! [X2,X0,X1] : meet(X2,meet(complement(X0),X1)) = meet(complement(X0),meet(X2,join(X0,X1))),
inference(backward_demodulation,[],[f5918,f42012]) ).
fof(f42482,plain,
! [X2,X0,X1] : meet(complement(X0),meet(join(X0,X1),join(X2,X0))) = meet(join(X0,X2),meet(complement(X0),X1)),
inference(backward_demodulation,[],[f26049,f42012]) ).
fof(f42503,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(join(X0,X2),meet(complement(X0),X1)),meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2)))))),
inference(backward_demodulation,[],[f39746,f42012]) ).
fof(f42841,plain,
! [X2,X0,X1] : meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2))))) = meet(one,complement(complement(X0))),
inference(forward_demodulation,[],[f42298,f6]) ).
fof(f42842,plain,
! [X2,X0,X1] : meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2))))) = meet(one,complement(complement(X0))),
inference(forward_demodulation,[],[f42299,f6]) ).
fof(f42959,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(complement(X0),meet(X1,join(X0,X2))),meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2)))))),
inference(forward_demodulation,[],[f42503,f37]) ).
fof(f42980,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(complement(X0),meet(join(X0,X1),join(X2,X0))),
inference(forward_demodulation,[],[f42482,f37]) ).
fof(f43072,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(join(X1,X0),meet(complement(X0),X2)),meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2)))))),
inference(backward_demodulation,[],[f39745,f42435]) ).
fof(f43259,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(X2,join(X0,X1))),complement(meet(complement(X0),meet(join(X0,X1),join(X0,X2))))),
inference(forward_demodulation,[],[f42841,f595]) ).
fof(f43260,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(join(X1,X0),X2)),complement(meet(complement(X0),meet(join(X1,X0),join(X0,X2))))),
inference(forward_demodulation,[],[f42842,f595]) ).
fof(f43358,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(X1,meet(complement(X0),X2)),meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2)))))),
inference(forward_demodulation,[],[f42959,f42435]) ).
fof(f43379,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(join(X2,X0),meet(complement(X0),X1)),
inference(forward_demodulation,[],[f42980,f42012]) ).
fof(f43442,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(complement(X0),meet(X2,join(X1,X0))),meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2)))))),
inference(forward_demodulation,[],[f43072,f37]) ).
fof(f43546,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(X2,join(X0,X1))),join(complement(meet(join(X0,X1),join(X0,X2))),X0)),
inference(forward_demodulation,[],[f43259,f39355]) ).
fof(f43547,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(join(X1,X0),X2)),join(complement(meet(join(X1,X0),join(X0,X2))),X0)),
inference(forward_demodulation,[],[f43260,f39355]) ).
fof(f43628,plain,
! [X2,X0,X1] : meet(complement(X0),meet(X1,join(X0,X2))) = meet(complement(X0),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f43379,f37]) ).
fof(f43730,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2))))),
inference(forward_demodulation,[],[f43546,f12461]) ).
fof(f43731,plain,
! [X2,X0,X1] : complement(complement(X0)) = meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2))))),
inference(forward_demodulation,[],[f43547,f12461]) ).
fof(f43774,plain,
! [X2,X0,X1] : meet(X1,meet(complement(X0),X2)) = meet(complement(X0),meet(X1,join(X2,X0))),
inference(forward_demodulation,[],[f43628,f42435]) ).
fof(f43872,plain,
! [X2,X0,X1] : meet(join(X0,meet(X2,join(X0,X1))),join(X0,complement(meet(join(X0,X1),join(X0,X2))))) = X0,
inference(forward_demodulation,[],[f43730,f7101]) ).
fof(f43873,plain,
! [X2,X0,X1] : meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2))))) = X0,
inference(forward_demodulation,[],[f43731,f7101]) ).
fof(f43910,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(X2,meet(complement(X0),X1)),meet(join(X0,meet(join(X1,X0),X2)),join(X0,complement(meet(join(X1,X0),join(X0,X2)))))),
inference(backward_demodulation,[],[f43442,f43774]) ).
fof(f43997,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(meet(X1,meet(complement(X0),X2)),X0),
inference(backward_demodulation,[],[f43358,f43872]) ).
fof(f44026,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(meet(X2,meet(complement(X0),X1)),X0),
inference(forward_demodulation,[],[f43910,f43873]) ).
fof(f44093,plain,
! [X2,X0,X1] : join(X0,meet(X2,join(X0,X1))) = join(X0,meet(X1,meet(complement(X0),X2))),
inference(forward_demodulation,[],[f43997,f7]) ).
fof(f44106,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X2,meet(complement(X0),X1))),
inference(forward_demodulation,[],[f44026,f7]) ).
fof(f44173,plain,
! [X2,X0,X1] : join(X0,meet(join(X1,X0),X2)) = join(X0,meet(X1,join(X0,X2))),
inference(forward_demodulation,[],[f44106,f44093]) ).
fof(f44262,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,meet(X1,join(X2,X0))),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f30451,f44173]) ).
fof(f44330,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,join(X0,X1)))),
inference(backward_demodulation,[],[f2624,f44173]) ).
fof(f44335,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X1,X2)) = join(X1,meet(X0,join(X1,join(X2,X1)))),
inference(backward_demodulation,[],[f1874,f44173]) ).
fof(f44396,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X3,X1),join(X1,X2))) = meet(X0,join(X1,meet(X3,join(X1,join(meet(X0,X1),X2))))),
inference(backward_demodulation,[],[f1777,f44173]) ).
fof(f44512,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X3,X1),join(X1,X2))) = meet(X0,join(X1,meet(X3,join(X1,X2)))),
inference(forward_demodulation,[],[f44396,f107]) ).
fof(f44560,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X1,X2)) = join(X1,meet(X0,join(X2,X1))),
inference(forward_demodulation,[],[f44335,f100]) ).
fof(f44564,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,join(X0,X1))),
inference(forward_demodulation,[],[f44330,f25]) ).
fof(f44660,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))) = meet(X0,meet(X4,meet(join(join(X3,meet(X0,X1)),X1),join(X1,X2)))),
inference(backward_demodulation,[],[f4793,f44512]) ).
fof(f44834,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,meet(join(X2,X1),join(X1,X0))),
inference(backward_demodulation,[],[f8139,f44560]) ).
fof(f44951,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X1,meet(complement(X0),X2))),
inference(backward_demodulation,[],[f44093,f44564]) ).
fof(f44969,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(meet(join(X2,X0),join(X2,X1)),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f44262,f44564]) ).
fof(f44981,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,X2),join(X1,X3))) = meet(X0,meet(join(X3,X1),join(X1,X2))),
inference(backward_demodulation,[],[f44512,f44564]) ).
fof(f45186,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))) = meet(X0,meet(X4,meet(join(X1,join(X3,meet(X0,X1))),join(X1,X2)))),
inference(forward_demodulation,[],[f44660,f7]) ).
fof(f45333,plain,
! [X2,X0,X1] : meet(X2,join(X0,X1)) = meet(X2,join(X1,X0)),
inference(forward_demodulation,[],[f44834,f28]) ).
fof(f45401,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,X0),meet(join(X2,X1),join(meet(X0,X3),meet(X0,join(X1,X2))))),
inference(forward_demodulation,[],[f44969,f8]) ).
fof(f45510,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))) = meet(X0,meet(X4,meet(join(X1,X3),join(X1,X2)))),
inference(forward_demodulation,[],[f45186,f225]) ).
fof(f49728,plain,
! [X2,X0,X1] : join(X1,meet(X2,X0)) = join(X1,meet(X0,meet(complement(X1),X2))),
inference(superposition,[],[f41995,f37]) ).
fof(f49884,plain,
! [X2,X0,X1] : meet(join(X0,X1),join(X0,X2)) = join(X0,meet(X2,X1)),
inference(backward_demodulation,[],[f44951,f49728]) ).
fof(f49999,plain,
! [X2,X3,X0,X1] : meet(join(X0,X1),meet(X3,join(X1,meet(X2,X0)))) = meet(join(X1,X0),meet(join(X1,X2),X3)),
inference(backward_demodulation,[],[f20597,f49884]) ).
fof(f50030,plain,
! [X2,X0,X1] : join(X0,meet(X2,X1)) = join(X0,meet(X2,join(X0,X1))),
inference(backward_demodulation,[],[f44564,f49884]) ).
fof(f50064,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X3,X1),join(X1,X2))) = meet(X0,join(X1,meet(X3,X2))),
inference(backward_demodulation,[],[f44981,f49884]) ).
fof(f50088,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(join(X1,X2),meet(join(X1,X3),X4))) = meet(X0,meet(X4,join(X1,meet(X2,X3)))),
inference(backward_demodulation,[],[f45510,f49884]) ).
fof(f50370,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(meet(X1,X2),X3))) = meet(X0,join(meet(X1,X2),meet(meet(X0,X1),X3))),
inference(backward_demodulation,[],[f17087,f49884]) ).
fof(f50373,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X2,join(meet(X2,X3),X0))) = meet(X1,join(meet(X2,X3),meet(meet(X2,join(X0,meet(X1,meet(X2,X3)))),X0))),
inference(backward_demodulation,[],[f30476,f49884]) ).
fof(f50493,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X2,join(meet(X2,X3),X0))) = meet(X1,join(meet(X2,X3),meet(X0,meet(X2,join(X0,meet(X1,meet(X2,X3))))))),
inference(forward_demodulation,[],[f50373,f6]) ).
fof(f50496,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(meet(X1,X2),X3))) = meet(X0,join(meet(X1,X2),meet(X0,meet(X1,X3)))),
inference(forward_demodulation,[],[f50370,f8]) ).
fof(f50906,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(X1,X3))) = meet(X0,join(X2,meet(X0,join(X2,meet(X1,X3))))),
inference(backward_demodulation,[],[f8167,f50064]) ).
fof(f51003,plain,
! [X2,X3,X0,X1] : meet(join(X1,meet(X2,X0)),X3) = meet(join(X1,X0),meet(join(X1,X2),X3)),
inference(forward_demodulation,[],[f49999,f3878]) ).
fof(f51230,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X2,join(meet(X2,X3),X0))) = meet(X1,join(meet(X2,X3),meet(X0,X2))),
inference(forward_demodulation,[],[f50493,f192]) ).
fof(f51567,plain,
! [X2,X3,X0,X1] : meet(X0,join(X2,meet(X1,X3))) = meet(X0,join(X2,meet(X0,meet(X1,X3)))),
inference(forward_demodulation,[],[f50906,f50030]) ).
fof(f51637,plain,
! [X2,X3,X0,X1,X4] : meet(X0,meet(X4,join(X1,meet(X2,X3)))) = meet(X0,meet(join(X1,meet(X3,X2)),X4)),
inference(backward_demodulation,[],[f50088,f51003]) ).
fof(f51663,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,meet(X1,X0)),join(meet(X0,X3),meet(X0,join(X1,X2)))),
inference(backward_demodulation,[],[f45401,f51003]) ).
fof(f51842,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X2,X0)) = meet(X0,meet(X0,join(meet(X0,X1),X2))),
inference(backward_demodulation,[],[f3950,f51230]) ).
fof(f52117,plain,
! [X2,X3,X0,X1] : meet(X0,meet(X1,join(meet(X1,X2),X3))) = meet(X0,join(meet(X1,X2),meet(X1,X3))),
inference(backward_demodulation,[],[f50496,f51567]) ).
fof(f52404,plain,
! [X2,X0,X1] : meet(X0,join(meet(X0,X1),X2)) = join(meet(X0,X1),meet(X2,X0)),
inference(forward_demodulation,[],[f51842,f103]) ).
fof(f52694,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(join(X2,meet(X1,X0)),meet(X0,join(meet(X0,X3),join(X1,X2)))),
inference(backward_demodulation,[],[f51663,f52117]) ).
fof(f52994,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X1,X2)) = meet(X1,join(meet(X1,X2),X0)),
inference(backward_demodulation,[],[f30899,f52404]) ).
fof(f53240,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,meet(join(meet(X0,X3),join(X1,X2)),join(X2,meet(X1,X0)))),
inference(forward_demodulation,[],[f52694,f37]) ).
fof(f53680,plain,
~ sP0(meet(a,join(meet(a,c),b))),
inference(backward_demodulation,[],[f15,f52994]) ).
fof(f53821,plain,
! [X2,X3,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,meet(join(X2,meet(X0,X1)),join(meet(X0,X3),join(X1,X2)))),
inference(forward_demodulation,[],[f53240,f51637]) ).
fof(f54047,plain,
~ sP0(meet(a,join(b,meet(a,c)))),
inference(forward_demodulation,[],[f53680,f45333]) ).
fof(f54221,plain,
! [X2,X0,X1] : meet(X0,join(X1,X2)) = meet(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f53821,f11250]) ).
fof(f54631,plain,
~ sP0(meet(a,join(c,b))),
inference(backward_demodulation,[],[f54047,f54221]) ).
fof(f54932,plain,
~ sP0(meet(a,join(b,c))),
inference(forward_demodulation,[],[f54631,f45333]) ).
fof(f55297,plain,
$false,
inference(forward_subsumption_resolution,[],[f54932,f16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT206-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.16/0.44 % Computer : n014.cluster.edu
% 0.16/0.44 % Model : x86_64 x86_64
% 0.16/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.44 % Memory : 8046.5625MB
% 0.16/0.44 % OS : Linux 6.8.0-71-generic
% 0.16/0.44 % CPULimit : 300
% 0.16/0.44 % WCLimit : 300
% 0.16/0.44 % DateTime : Sun Sep 27 14:05:31 UTC 2026
% 0.16/0.45 % CPUTime :
% 0.16/0.45 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.50 Running first-order theorem proving
% 0.21/0.50 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
% 74.31/12.69 % (844314)Detected a unit-equality problem, will run specialized UEQ schedule.
% 74.31/12.69 % (844319)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=2329571953:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 74.31/12.69 % (844322)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=557166489:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 74.31/12.69 % (844324)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3202789067:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 74.31/12.69 % (844321)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=632032715:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 74.31/12.69 % (844325)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1830597435:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 74.31/12.69 % (844320)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=82083054:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 74.31/12.69 % (844323)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=1603496391:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 74.31/12.69 % (844322)Instruction limit reached!
% 74.31/12.69 % (844322)------------------------------
% 74.31/12.69 % (844322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844322)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844322)Termination reason: Instruction limit
% 74.31/12.69 % (844322)Termination phase: Saturation
% 74.31/12.69 % (844322)Time elapsed: 0.140 s
% 74.31/12.69 % (844322)Peak memory usage: 89 MB
% 74.31/12.69 % (844322)Instructions burned: 137 (million)
% 74.31/12.69 % (844323)Instruction limit reached!
% 74.31/12.69 % (844323)------------------------------
% 74.31/12.69 % (844323)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844323)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844323)Termination reason: Instruction limit
% 74.31/12.69 % (844323)Termination phase: Saturation
% 74.31/12.69 % (844323)Time elapsed: 0.181 s
% 74.31/12.69 % (844323)Peak memory usage: 89 MB
% 74.31/12.69 % (844323)Instructions burned: 182 (million)
% 74.31/12.69 % (844324)Instruction limit reached!
% 74.31/12.69 % (844324)------------------------------
% 74.31/12.69 % (844324)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844324)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844324)Termination reason: Instruction limit
% 74.31/12.69 % (844324)Termination phase: Saturation
% 74.31/12.69 % (844324)Time elapsed: 0.261 s
% 74.31/12.69 % (844324)Peak memory usage: 90 MB
% 74.31/12.69 % (844324)Instructions burned: 257 (million)
% 74.31/12.69 % (844333)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=523714646:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 74.31/12.69 % (844334)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=268492046:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 74.31/12.69 % (844335)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=968410034:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 74.31/12.69 % (844335)Instruction limit reached!
% 74.31/12.69 % (844335)------------------------------
% 74.31/12.69 % (844335)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844335)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844335)Termination reason: Instruction limit
% 74.31/12.69 % (844335)Termination phase: Saturation
% 74.31/12.69 % (844335)Time elapsed: 0.191 s
% 74.31/12.69 % (844335)Peak memory usage: 90 MB
% 74.31/12.69 % (844335)Instructions burned: 216 (million)
% 74.31/12.69 % (844340)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=809242977: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)
% 74.31/12.69 % (844325)Instruction limit reached!
% 74.31/12.69 % (844325)------------------------------
% 74.31/12.69 % (844325)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844325)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844325)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844325)Termination reason: Instruction limit
% 74.31/12.69 % (844325)Termination phase: Saturation
% 74.31/12.69 % (844325)Time elapsed: 1.076 s
% 74.31/12.69 % (844325)Peak memory usage: 99 MB
% 74.31/12.69 % (844325)Instructions burned: 1188 (million)
% 74.31/12.69 % (844340)Instruction limit reached!
% 74.31/12.69 % (844340)------------------------------
% 74.31/12.69 % (844340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844340)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844340)Termination reason: Instruction limit
% 74.31/12.69 % (844340)Termination phase: Saturation
% 74.31/12.69 % (844340)Time elapsed: 0.333 s
% 74.31/12.69 % (844340)Peak memory usage: 93 MB
% 74.31/12.69 % (844340)Instructions burned: 317 (million)
% 74.31/12.69 % (844342)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=3041946275:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2986 on theBenchmark for (2986ds/12125Mi)
% 74.31/12.69 % (844343)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2762868400:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2983 on theBenchmark for (2983ds/2836Mi)
% 74.31/12.69 % (844333)Instruction limit reached!
% 74.31/12.69 % (844333)------------------------------
% 74.31/12.69 % (844333)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844333)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844333)Termination reason: Instruction limit
% 74.31/12.69 % (844333)Termination phase: Saturation
% 74.31/12.69 % (844333)Time elapsed: 2.146 s
% 74.31/12.69 % (844333)Peak memory usage: 141 MB
% 74.31/12.69 % (844333)Instructions burned: 2051 (million)
% 74.31/12.69 % (844348)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3280101071:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2971 on theBenchmark for (2971ds/14534Mi)
% 74.31/12.69 % (844343)Instruction limit reached!
% 74.31/12.69 % (844343)------------------------------
% 74.31/12.69 % (844343)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844343)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844343)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844343)Termination reason: Instruction limit
% 74.31/12.69 % (844343)Termination phase: Saturation
% 74.31/12.69 % (844343)Time elapsed: 3.069 s
% 74.31/12.69 % (844343)Peak memory usage: 145 MB
% 74.31/12.69 % (844343)Instructions burned: 2837 (million)
% 74.31/12.69 % (844350)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=2048789462:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2949 on theBenchmark for (2949ds/11832Mi)
% 74.31/12.69 % (844334)Instruction limit reached!
% 74.31/12.69 % (844334)------------------------------
% 74.31/12.69 % (844334)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844334)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844334)Termination reason: Instruction limit
% 74.31/12.69 % (844334)Termination phase: Saturation
% 74.31/12.69 % (844334)Time elapsed: 4.929 s
% 74.31/12.69 % (844334)Peak memory usage: 165 MB
% 74.31/12.69 % (844334)Instructions burned: 4949 (million)
% 74.31/12.69 % (844354)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=2978165056:i=2279:fgj=on:bd=all_2942 on theBenchmark for (2942ds/2279Mi)
% 74.31/12.69 % (844354)Instruction limit reached!
% 74.31/12.69 % (844354)------------------------------
% 74.31/12.69 % (844354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 74.31/12.69 % (844354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 74.31/12.69 % (844354)CaDiCaL version: 2.1.3
% 74.31/12.69 % (844354)Termination reason: Instruction limit
% 74.31/12.69 % (844354)Termination phase: Saturation
% 74.31/12.69 % (844354)Time elapsed: 2.327 s
% 74.31/12.69 % (844354)Peak memory usage: 140 MB
% 74.31/12.69 % (844354)Instructions burned: 2280 (million)
% 74.31/12.69 % (844356)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=ground:npcc=on:drc=off:fde=none:sp=reverse_arity:urr=ec_only:gs=on:s2agt=16:random_seed=3658951357:st=3:i=6225:bd=all:gtg=exists_all:ss=included:er=filter:sgt=10_2916 on theBenchmark for (2916ds/6225Mi)
% 74.31/12.69 % (844348)First to succeed.
% 74.31/12.69 % (844348)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-844314"
% 74.31/12.69 % (844348)Refutation found. Thanks to Tanya!
% 74.31/12.69 % SZS status Unsatisfiable for theBenchmark
% 74.31/12.69 % SZS output start Proof for theBenchmark
% See solution above
% 0.23/12.91 % (844348)------------------------------
% 0.23/12.91 % (844348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.23/12.91 % (844348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.23/12.91 % (844348)CaDiCaL version: 2.1.3
% 0.23/12.91 % (844348)Termination reason: Refutation
% 0.23/12.91 % (844348)Time elapsed: 8.025 s
% 0.23/12.91 % (844348)Peak memory usage: 179 MB
% 0.23/12.91 % (844348)Instructions burned: 7740 (million)
% 0.23/12.91 % (844348)------------------------------
% 0.23/12.91 % (844348)------------------------------
% 0.23/12.91 % (844314)Success in time 11.706 s
% 0.23/12.91 % Vampire exiting
%------------------------------------------------------------------------------