%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LAT190-10 : 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 : n004.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 11:46:11 AM UTC 2026
% Result : Unsatisfiable 54.58s 8.68s
% Output : Refutation 55.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 73
% Number of leaves : 17
% Syntax : Number of formulae : 268 ( 268 unt; 5 def)
% Number of atoms : 268 ( 267 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 10 con; 0-4 aty)
% Number of variables : 431 ( 431 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] : ifeq(X0,X0,X1,X2) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ifeq_axiom) ).
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,X0,X1] : join(meet(X0,X1),meet(X0,X2)) = meet(X0,join(meet(X0,X1),join(meet(X0,X2),meet(X1,join(X0,X2))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',equation_H18) ).
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,
sF0 = join(b,c),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f16,plain,
join(b,c) = sF0,
inference(reorient_equations,[],[f15]) ).
fof(f17,definition,
sF1 = meet(a,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f18,plain,
meet(a,sF0) = sF1,
inference(reorient_equations,[],[f17]) ).
fof(f19,definition,
sF2 = meet(a,b),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f20,plain,
meet(a,b) = sF2,
inference(reorient_equations,[],[f19]) ).
fof(f21,definition,
sF3 = meet(a,c),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f22,plain,
meet(a,c) = sF3,
inference(reorient_equations,[],[f21]) ).
fof(f23,definition,
sF4 = join(sF2,sF3),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f24,plain,
join(sF2,sF3) = sF4,
inference(reorient_equations,[],[f23]) ).
fof(f25,plain,
sF1 != sF4,
inference(definition_folding,[],[f14,f24,f22,f20,f18,f16]) ).
fof(f26,plain,
sF1 = meet(sF0,a),
inference(forward_demodulation,[],[f18,f6]) ).
fof(f27,plain,
sF2 = meet(b,a),
inference(forward_demodulation,[],[f20,f6]) ).
fof(f28,plain,
sF3 = meet(c,a),
inference(forward_demodulation,[],[f22,f6]) ).
fof(f33,plain,
c = join(c,sF3),
inference(superposition,[],[f5,f28]) ).
fof(f35,plain,
! [X0,X1] : join(X1,meet(X0,X1)) = X1,
inference(superposition,[],[f5,f6]) ).
fof(f39,plain,
! [X0,X1] : meet(X1,join(X0,X1)) = X1,
inference(superposition,[],[f4,f7]) ).
fof(f40,plain,
! [X0,X1] : join(X0,X1) = join(join(X0,X1),X0),
inference(superposition,[],[f35,f4]) ).
fof(f50,plain,
! [X0,X1] : join(X0,X1) = join(X0,join(X0,X1)),
inference(forward_demodulation,[],[f40,f7]) ).
fof(f54,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,X2)) = meet(X1,join(meet(X0,X1),join(meet(X1,X2),meet(X0,join(X1,X2))))),
inference(superposition,[],[f13,f6]) ).
fof(f75,plain,
! [X0,X1] : join(meet(X0,meet(X0,X1)),meet(X0,X1)) = meet(X0,join(meet(X0,meet(X0,X1)),meet(X0,X1))),
inference(superposition,[],[f13,f5]) ).
fof(f79,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,meet(X0,X1))) = meet(X0,join(meet(X0,X1),meet(X0,meet(X0,X1)))),
inference(forward_demodulation,[],[f75,f7]) ).
fof(f90,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,meet(X0,X1)),
inference(forward_demodulation,[],[f79,f35]) ).
fof(f105,plain,
! [X0,X1] : meet(X1,X0) = meet(meet(X1,X0),X0),
inference(superposition,[],[f39,f35]) ).
fof(f119,plain,
! [X0,X1] : meet(X1,X0) = meet(X0,meet(X1,X0)),
inference(forward_demodulation,[],[f105,f6]) ).
fof(f124,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X0,X1),X2)),
inference(superposition,[],[f9,f5]) ).
fof(f125,plain,
! [X2,X0,X1] : join(X0,X2) = join(X0,join(meet(X1,X0),X2)),
inference(superposition,[],[f9,f35]) ).
fof(f127,plain,
! [X2,X0,X1] : join(join(X0,X1),X2) = join(X1,join(X0,X2)),
inference(superposition,[],[f9,f7]) ).
fof(f129,plain,
! [X0] : join(sF0,X0) = join(b,join(c,X0)),
inference(superposition,[],[f9,f16]) ).
fof(f130,plain,
! [X0] : join(sF2,join(sF3,X0)) = join(sF4,X0),
inference(superposition,[],[f9,f24]) ).
fof(f140,plain,
! [X2,X0,X1] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(superposition,[],[f7,f9]) ).
fof(f147,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X0,X1),X2)),
inference(superposition,[],[f8,f4]) ).
fof(f149,plain,
! [X2,X0,X1] : meet(X0,X2) = meet(X0,meet(join(X1,X0),X2)),
inference(superposition,[],[f8,f39]) ).
fof(f153,plain,
! [X0] : meet(sF2,X0) = meet(b,meet(a,X0)),
inference(superposition,[],[f8,f27]) ).
fof(f154,plain,
! [X0] : meet(c,meet(a,X0)) = meet(sF3,X0),
inference(superposition,[],[f8,f28]) ).
fof(f163,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X2,meet(X0,X1)),
inference(superposition,[],[f6,f8]) ).
fof(f194,plain,
! [X2,X0,X1] : join(X1,X0) = join(X1,join(X0,meet(X1,X2))),
inference(superposition,[],[f124,f7]) ).
fof(f198,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(meet(X0,X2),X1),join(X0,X1)),
inference(superposition,[],[f39,f124]) ).
fof(f203,plain,
! [X2,X0,X1] : join(meet(X0,X2),X1) = meet(join(X0,X1),join(meet(X0,X2),X1)),
inference(forward_demodulation,[],[f198,f6]) ).
fof(f217,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(meet(X0,X1),join(meet(X0,complement(X0)),meet(X1,one)))),
inference(superposition,[],[f13,f10]) ).
fof(f218,plain,
! [X0] : meet(X0,one) = X0,
inference(superposition,[],[f4,f10]) ).
fof(f219,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(X0,one),
inference(superposition,[],[f124,f10]) ).
fof(f220,plain,
! [X0,X1] : one = join(X0,join(X1,complement(join(X0,X1)))),
inference(superposition,[],[f9,f10]) ).
fof(f221,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(meet(X0,X1),join(meet(X0,complement(X0)),X1))),
inference(forward_demodulation,[],[f217,f218]) ).
fof(f222,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(X1,join(meet(X0,X1),meet(X0,complement(X0))))),
inference(forward_demodulation,[],[f221,f140]) ).
fof(f223,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(X0))) = meet(X0,join(X1,meet(X0,complement(X0)))),
inference(forward_demodulation,[],[f222,f125]) ).
fof(f224,plain,
! [X0,X1] : join(meet(X0,X1),zero) = meet(X0,join(X1,zero)),
inference(forward_demodulation,[],[f223,f11]) ).
fof(f225,plain,
! [X0,X1] : meet(X0,join(X1,zero)) = join(zero,meet(X0,X1)),
inference(forward_demodulation,[],[f224,f7]) ).
fof(f231,plain,
! [X0] : meet(one,X0) = X0,
inference(superposition,[],[f6,f218]) ).
fof(f257,plain,
! [X0] : one = join(X0,one),
inference(superposition,[],[f39,f231]) ).
fof(f260,plain,
! [X0,X1] : one = join(X0,complement(meet(X0,X1))),
inference(backward_demodulation,[],[f219,f257]) ).
fof(f303,plain,
one = join(sF0,complement(sF1)),
inference(superposition,[],[f260,f26]) ).
fof(f307,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),join(meet(X0,complement(meet(X0,X2))),meet(X1,one)))),
inference(superposition,[],[f13,f260]) ).
fof(f312,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(meet(X0,X1),join(meet(X0,complement(meet(X0,X2))),X1))),
inference(forward_demodulation,[],[f307,f218]) ).
fof(f315,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(X1,join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))))),
inference(forward_demodulation,[],[f312,f140]) ).
fof(f316,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))) = meet(X0,join(X1,meet(X0,complement(meet(X0,X2))))),
inference(forward_demodulation,[],[f315,f125]) ).
fof(f334,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,complement(meet(X0,X1)))) = meet(X0,join(meet(X0,complement(meet(X0,X1))),X2)),
inference(superposition,[],[f316,f7]) ).
fof(f335,plain,
! [X2,X3,X0,X1] : join(meet(X2,join(X0,X1)),meet(X2,complement(meet(X2,X3)))) = meet(X2,join(X0,join(X1,meet(X2,complement(meet(X2,X3)))))),
inference(superposition,[],[f316,f9]) ).
fof(f343,plain,
! [X2,X3,X0,X1] : meet(X0,meet(join(X1,meet(X0,complement(meet(X0,X2)))),X3)) = meet(join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))),X3),
inference(superposition,[],[f8,f316]) ).
fof(f405,plain,
! [X2,X0,X1] : meet(X1,X0) = meet(X1,meet(X0,join(X1,X2))),
inference(superposition,[],[f147,f6]) ).
fof(f439,plain,
! [X0] : join(X0,zero) = X0,
inference(superposition,[],[f5,f11]) ).
fof(f447,plain,
! [X0,X1] : zero = meet(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f8,f11]) ).
fof(f448,plain,
! [X0,X1] : meet(X0,complement(join(X0,X1))) = meet(X0,zero),
inference(superposition,[],[f147,f11]) ).
fof(f452,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(X0,X1)),
inference(backward_demodulation,[],[f225,f439]) ).
fof(f472,plain,
! [X0] : join(zero,X0) = X0,
inference(superposition,[],[f452,f231]) ).
fof(f479,plain,
! [X0] : zero = meet(X0,zero),
inference(superposition,[],[f35,f452]) ).
fof(f489,plain,
! [X0,X1] : zero = meet(X0,complement(join(X0,X1))),
inference(backward_demodulation,[],[f448,f479]) ).
fof(f542,plain,
! [X0,X1] : ifeq(join(X0,X1),one,ifeq(meet(X1,X0),zero,complement(X1),X0),X0) = X0,
inference(superposition,[],[f12,f7]) ).
fof(f555,plain,
! [X0,X1] : ifeq(join(X1,X0),one,ifeq(meet(X0,X1),zero,complement(X1),X0),X0) = X0,
inference(superposition,[],[f12,f6]) ).
fof(f594,plain,
! [X0,X1] : zero = meet(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f447,f6]) ).
fof(f732,plain,
! [X0,X1] : one = join(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f220,f7]) ).
fof(f755,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,f220]) ).
fof(f766,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,[],[f755,f1]) ).
fof(f917,plain,
! [X2,X0,X1] : join(X2,X0) = join(X2,join(X0,meet(X1,X2))),
inference(superposition,[],[f125,f7]) ).
fof(f1098,plain,
! [X0] : meet(sF3,X0) = meet(c,meet(X0,a)),
inference(superposition,[],[f154,f6]) ).
fof(f1319,plain,
join(b,c) = join(sF0,sF3),
inference(superposition,[],[f129,f33]) ).
fof(f1358,plain,
sF0 = join(sF0,sF3),
inference(forward_demodulation,[],[f1319,f16]) ).
fof(f1370,plain,
! [X0] : meet(sF2,X0) = meet(b,meet(X0,a)),
inference(superposition,[],[f153,f6]) ).
fof(f1706,plain,
! [X2,X3,X0,X1] : meet(X1,meet(X3,X0)) = meet(X1,meet(X0,meet(join(X1,X2),X3))),
inference(superposition,[],[f147,f163]) ).
fof(f1979,plain,
! [X0] : meet(sF3,X0) = meet(sF3,meet(c,X0)),
inference(superposition,[],[f149,f33]) ).
fof(f2055,plain,
! [X0] : meet(sF3,X0) = meet(c,meet(X0,sF3)),
inference(forward_demodulation,[],[f1979,f163]) ).
fof(f2129,plain,
meet(sF2,sF0) = meet(b,sF1),
inference(superposition,[],[f1370,f26]) ).
fof(f2168,plain,
meet(b,sF1) = meet(sF0,sF2),
inference(forward_demodulation,[],[f2129,f6]) ).
fof(f2282,plain,
meet(sF3,sF0) = meet(c,sF1),
inference(superposition,[],[f1098,f26]) ).
fof(f2321,plain,
meet(c,sF1) = meet(sF0,sF3),
inference(forward_demodulation,[],[f2282,f6]) ).
fof(f2358,plain,
sF0 = join(b,sF0),
inference(superposition,[],[f50,f16]) ).
fof(f2947,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))) = meet(X1,join(meet(X0,X1),join(meet(X1,complement(meet(X1,X2))),meet(X0,one)))),
inference(superposition,[],[f54,f260]) ).
fof(f3046,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))) = meet(X1,join(meet(X0,X1),join(meet(X1,complement(meet(X1,X2))),X0))),
inference(forward_demodulation,[],[f2947,f218]) ).
fof(f3132,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))) = meet(X1,join(X0,join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))))),
inference(forward_demodulation,[],[f3046,f140]) ).
fof(f3201,plain,
! [X2,X0,X1] : join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))) = join(meet(X1,join(X0,meet(X0,X1))),meet(X1,complement(meet(X1,X2)))),
inference(forward_demodulation,[],[f3132,f335]) ).
fof(f3240,plain,
! [X2,X0,X1] : join(meet(X1,X0),meet(X1,complement(meet(X1,X2)))) = join(meet(X0,X1),meet(X1,complement(meet(X1,X2)))),
inference(forward_demodulation,[],[f3201,f5]) ).
fof(f3375,plain,
! [X2,X3,X0,X1] : meet(meet(X1,X0),X3) = meet(meet(X1,X0),meet(join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))),X3)),
inference(superposition,[],[f147,f3240]) ).
fof(f3381,plain,
! [X2,X3,X0,X1] : meet(meet(X1,X0),X3) = meet(X1,meet(X0,meet(join(meet(X0,X1),meet(X0,complement(meet(X0,X2)))),X3))),
inference(forward_demodulation,[],[f3375,f8]) ).
fof(f3421,plain,
! [X2,X3,X0,X1] : meet(meet(X1,X0),X3) = meet(X1,meet(X0,meet(X0,meet(join(X1,meet(X0,complement(meet(X0,X2)))),X3)))),
inference(forward_demodulation,[],[f3381,f343]) ).
fof(f3456,plain,
! [X2,X3,X0,X1] : meet(meet(X1,X0),X3) = meet(X1,meet(X0,meet(join(X1,meet(X0,complement(meet(X0,X2)))),X3))),
inference(forward_demodulation,[],[f3421,f90]) ).
fof(f3478,plain,
! [X3,X0,X1] : meet(X1,meet(X3,X0)) = meet(meet(X1,X0),X3),
inference(forward_demodulation,[],[f3456,f1706]) ).
fof(f5330,plain,
! [X2,X0,X1] : meet(X0,meet(X1,X2)) = meet(X0,meet(X2,X1)),
inference(superposition,[],[f8,f3478]) ).
fof(f5729,plain,
meet(c,sF1) = meet(sF3,meet(c,sF1)),
inference(superposition,[],[f119,f2321]) ).
fof(f5817,plain,
meet(c,sF1) = meet(sF1,meet(sF3,c)),
inference(forward_demodulation,[],[f5729,f163]) ).
fof(f5858,plain,
meet(c,sF1) = meet(c,meet(sF1,sF3)),
inference(forward_demodulation,[],[f5817,f163]) ).
fof(f5877,plain,
meet(c,sF1) = meet(sF3,sF1),
inference(forward_demodulation,[],[f5858,f2055]) ).
fof(f5890,plain,
meet(c,sF1) = meet(sF1,sF3),
inference(forward_demodulation,[],[f5877,f6]) ).
fof(f7151,plain,
! [X0,X1] : meet(X0,one) = join(meet(X0,complement(meet(X0,complement(meet(X0,X1))))),meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f334,f10]) ).
fof(f7241,plain,
! [X0,X1] : meet(X0,one) = join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f7151,f7]) ).
fof(f7307,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))) = X0,
inference(forward_demodulation,[],[f7241,f218]) ).
fof(f8498,plain,
! [X0] : join(sF2,X0) = meet(join(b,X0),join(sF2,X0)),
inference(superposition,[],[f203,f27]) ).
fof(f8787,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,[],[f125,f7307]) ).
fof(f8834,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,[],[f8787,f7]) ).
fof(f8876,plain,
! [X0,X1] : one = join(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f8834,f260]) ).
fof(f8995,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(one,one,ifeq(meet(complement(meet(X0,X1)),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),zero,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,f8876]) ).
fof(f9026,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)))))),zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f8995,f1]) ).
fof(f9067,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)))),zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f9026,f163]) ).
fof(f9086,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)))))),zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f9067,f5330]) ).
fof(f9099,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = ifeq(zero,zero,complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,complement(meet(X0,X1)))))),
inference(forward_demodulation,[],[f9086,f447]) ).
fof(f9109,plain,
! [X0,X1] : meet(X0,complement(meet(X0,complement(meet(X0,X1))))) = complement(complement(meet(X0,X1))),
inference(forward_demodulation,[],[f9099,f1]) ).
fof(f9114,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),complement(complement(meet(X0,X1)))) = X0,
inference(backward_demodulation,[],[f7307,f9109]) ).
fof(f9126,plain,
! [X0,X1] : join(complement(complement(meet(X0,X1))),meet(X0,complement(meet(X0,X1)))) = X0,
inference(forward_demodulation,[],[f9114,f7]) ).
fof(f9155,plain,
! [X0] : join(complement(complement(X0)),meet(X0,complement(X0))) = X0,
inference(superposition,[],[f9126,f218]) ).
fof(f9244,plain,
! [X0] : join(complement(complement(X0)),zero) = X0,
inference(forward_demodulation,[],[f9155,f11]) ).
fof(f9273,plain,
! [X0] : join(zero,complement(complement(X0))) = X0,
inference(forward_demodulation,[],[f9244,f7]) ).
fof(f9296,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[],[f9273,f472]) ).
fof(f9313,plain,
! [X0,X1] : meet(X0,X1) = meet(X0,complement(meet(X0,complement(meet(X0,X1))))),
inference(backward_demodulation,[],[f9109,f9296]) ).
fof(f9318,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,complement(meet(X0,X1)))) = X0,
inference(backward_demodulation,[],[f9126,f9296]) ).
fof(f9421,plain,
! [X0,X1] : join(meet(X1,X0),meet(X0,complement(meet(X0,X1)))) = X0,
inference(superposition,[],[f3240,f9318]) ).
fof(f9423,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(X0,complement(meet(X0,X1)))),
inference(superposition,[],[f125,f9318]) ).
fof(f9584,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(meet(X0,X1)))),
inference(superposition,[],[f9423,f6]) ).
fof(f9972,plain,
! [X0,X1] : join(complement(meet(X0,X1)),X0) = join(complement(meet(X0,X1)),meet(X1,X0)),
inference(superposition,[],[f917,f9421]) ).
fof(f10013,plain,
! [X0,X1] : join(complement(meet(X0,X1)),X0) = join(meet(X1,X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f9972,f7]) ).
fof(f10120,plain,
! [X0,X1] : join(X0,complement(meet(X0,X1))) = join(meet(X1,X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f10013,f7]) ).
fof(f10206,plain,
! [X0,X1] : one = join(meet(X1,X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f10120,f260]) ).
fof(f10384,plain,
! [X2,X0,X1] : join(meet(X0,X2),meet(X0,X1)) = meet(X0,join(X2,meet(X0,X1))),
inference(superposition,[],[f316,f9313]) ).
fof(f10397,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(meet(X2,X0),join(meet(X0,X1),meet(X2,join(X0,complement(meet(X0,complement(meet(X0,X1))))))))),
inference(superposition,[],[f54,f9313]) ).
fof(f10456,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(meet(X2,X0),join(meet(X0,X1),meet(X2,one)))),
inference(forward_demodulation,[],[f10397,f260]) ).
fof(f10595,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(meet(X2,X0),join(meet(X0,X1),X2))),
inference(forward_demodulation,[],[f10456,f218]) ).
fof(f10709,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(X2,join(meet(X2,X0),meet(X0,X1)))),
inference(forward_demodulation,[],[f10595,f140]) ).
fof(f10772,plain,
! [X2,X0,X1] : join(meet(X2,X0),meet(X0,X1)) = meet(X0,join(X2,meet(X0,X1))),
inference(forward_demodulation,[],[f10709,f124]) ).
fof(f14722,plain,
! [X0,X1] : complement(meet(X1,X0)) = ifeq(one,one,ifeq(meet(meet(X0,X1),complement(meet(X1,X0))),zero,complement(meet(X0,X1)),complement(meet(X1,X0))),complement(meet(X1,X0))),
inference(superposition,[],[f12,f10206]) ).
fof(f14755,plain,
! [X0,X1] : complement(meet(X1,X0)) = ifeq(meet(meet(X0,X1),complement(meet(X1,X0))),zero,complement(meet(X0,X1)),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f14722,f1]) ).
fof(f14851,plain,
! [X0,X1] : complement(meet(X1,X0)) = ifeq(meet(X0,meet(X1,complement(meet(X1,X0)))),zero,complement(meet(X0,X1)),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f14755,f8]) ).
fof(f14927,plain,
! [X0,X1] : complement(meet(X1,X0)) = ifeq(zero,zero,complement(meet(X0,X1)),complement(meet(X1,X0))),
inference(forward_demodulation,[],[f14851,f594]) ).
fof(f14978,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[],[f14927,f1]) ).
fof(f15050,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,complement(meet(X1,complement(meet(X0,X1))))),
inference(superposition,[],[f9313,f14978]) ).
fof(f15553,plain,
join(sF2,sF0) = meet(sF0,join(sF2,sF0)),
inference(superposition,[],[f8498,f2358]) ).
fof(f15704,plain,
sF0 = join(sF2,sF0),
inference(forward_demodulation,[],[f15553,f39]) ).
fof(f15741,plain,
sF0 = join(sF0,sF2),
inference(forward_demodulation,[],[f15704,f7]) ).
fof(f15798,plain,
sF2 = meet(sF2,sF0),
inference(superposition,[],[f39,f15741]) ).
fof(f15824,plain,
sF2 = meet(sF0,sF2),
inference(forward_demodulation,[],[f15798,f6]) ).
fof(f15831,plain,
sF2 = meet(b,sF1),
inference(backward_demodulation,[],[f2168,f15824]) ).
fof(f15874,plain,
! [X0] : join(sF1,X0) = join(sF1,join(sF2,X0)),
inference(superposition,[],[f125,f15831]) ).
fof(f15966,plain,
join(sF1,sF3) = join(sF1,sF4),
inference(superposition,[],[f15874,f24]) ).
fof(f18517,plain,
join(sF1,sF3) = join(sF1,meet(sF3,complement(meet(c,sF1)))),
inference(superposition,[],[f9584,f5890]) ).
fof(f19444,plain,
! [X0,X1] : meet(join(X0,X1),X0) = meet(join(X0,X1),complement(meet(join(X0,X1),complement(X0)))),
inference(superposition,[],[f15050,f4]) ).
fof(f19505,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(meet(X1,X0))),
inference(superposition,[],[f9313,f15050]) ).
fof(f19653,plain,
! [X0,X1] : meet(join(X0,X1),X0) = meet(join(X0,X1),complement(meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f19444,f19505]) ).
fof(f19742,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = meet(join(X0,X1),complement(meet(complement(X0),join(X0,X1)))),
inference(forward_demodulation,[],[f19653,f6]) ).
fof(f19795,plain,
! [X0,X1] : meet(join(X0,X1),complement(meet(complement(X0),join(X0,X1)))) = X0,
inference(forward_demodulation,[],[f19742,f4]) ).
fof(f20148,plain,
sF3 = meet(sF3,sF0),
inference(superposition,[],[f39,f1358]) ).
fof(f20179,plain,
sF3 = meet(sF0,sF3),
inference(forward_demodulation,[],[f20148,f6]) ).
fof(f20185,plain,
sF3 = meet(c,sF1),
inference(backward_demodulation,[],[f2321,f20179]) ).
fof(f20212,plain,
join(sF1,sF3) = join(sF1,meet(sF3,complement(sF3))),
inference(backward_demodulation,[],[f18517,f20185]) ).
fof(f20219,plain,
join(sF1,sF3) = join(sF1,zero),
inference(forward_demodulation,[],[f20212,f11]) ).
fof(f20226,plain,
join(zero,sF1) = join(sF1,sF3),
inference(forward_demodulation,[],[f20219,f7]) ).
fof(f20228,plain,
sF1 = join(sF1,sF3),
inference(forward_demodulation,[],[f20226,f472]) ).
fof(f20232,plain,
sF1 = join(sF1,sF4),
inference(backward_demodulation,[],[f15966,f20228]) ).
fof(f20353,plain,
sF4 = meet(sF4,sF1),
inference(superposition,[],[f39,f20232]) ).
fof(f20384,plain,
sF4 = meet(sF1,sF4),
inference(forward_demodulation,[],[f20353,f6]) ).
fof(f20405,plain,
one = join(sF1,complement(sF4)),
inference(superposition,[],[f260,f20384]) ).
fof(f21450,plain,
! [X0,X1] : ifeq(join(meet(X0,complement(meet(X1,X0))),X1),one,ifeq(zero,zero,complement(meet(X0,complement(meet(X1,X0)))),X1),X1) = X1,
inference(superposition,[],[f555,f447]) ).
fof(f21462,plain,
! [X0,X1] : ifeq(join(complement(join(X0,X1)),X0),one,ifeq(zero,zero,complement(complement(join(X0,X1))),X0),X0) = X0,
inference(superposition,[],[f555,f489]) ).
fof(f21559,plain,
! [X0,X1] : ifeq(join(complement(join(X0,X1)),X0),one,complement(complement(join(X0,X1))),X0) = X0,
inference(forward_demodulation,[],[f21462,f1]) ).
fof(f21571,plain,
! [X0,X1] : ifeq(join(meet(X0,complement(meet(X1,X0))),X1),one,complement(meet(X0,complement(meet(X1,X0)))),X1) = X1,
inference(forward_demodulation,[],[f21450,f1]) ).
fof(f21675,plain,
! [X0,X1] : ifeq(join(complement(join(X0,X1)),X0),one,join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f21559,f9296]) ).
fof(f21685,plain,
! [X0,X1] : ifeq(join(X1,meet(X0,complement(meet(X1,X0)))),one,complement(meet(X0,complement(meet(X1,X0)))),X1) = X1,
inference(forward_demodulation,[],[f21571,f7]) ).
fof(f21764,plain,
! [X0,X1] : ifeq(join(X0,complement(join(X0,X1))),one,join(X0,X1),X0) = X0,
inference(forward_demodulation,[],[f21675,f7]) ).
fof(f21767,plain,
! [X0,X1] : ifeq(join(X1,X0),one,complement(meet(X0,complement(meet(X1,X0)))),X1) = X1,
inference(forward_demodulation,[],[f21685,f9584]) ).
fof(f23003,plain,
sF1 = ifeq(one,one,ifeq(meet(complement(sF4),sF1),zero,complement(complement(sF4)),sF1),sF1),
inference(superposition,[],[f542,f20405]) ).
fof(f23170,plain,
sF1 = ifeq(meet(complement(sF4),sF1),zero,complement(complement(sF4)),sF1),
inference(forward_demodulation,[],[f23003,f1]) ).
fof(f23280,plain,
sF1 = ifeq(meet(complement(sF4),sF1),zero,sF4,sF1),
inference(forward_demodulation,[],[f23170,f9296]) ).
fof(f23346,plain,
sF1 = ifeq(meet(sF1,complement(sF4)),zero,sF4,sF1),
inference(forward_demodulation,[],[f23280,f6]) ).
fof(f41300,plain,
! [X0,X1] : join(meet(X0,complement(meet(X0,X1))),complement(X0)) = ifeq(meet(meet(X1,X0),join(meet(X0,complement(meet(X0,X1))),complement(X0))),zero,complement(meet(X1,X0)),join(meet(X0,complement(meet(X0,X1))),complement(X0))),
inference(superposition,[],[f766,f9421]) ).
fof(f41408,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(meet(meet(X1,X0),join(complement(X0),meet(X0,complement(meet(X0,X1))))),zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41300,f7]) ).
fof(f41477,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(meet(X1,meet(X0,join(complement(X0),meet(X0,complement(meet(X0,X1)))))),zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41408,f8]) ).
fof(f41528,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(meet(X1,join(meet(X0,complement(X0)),meet(X0,complement(meet(X0,X1))))),zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41477,f10384]) ).
fof(f41551,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(meet(X1,join(zero,meet(X0,complement(meet(X0,X1))))),zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41528,f11]) ).
fof(f41561,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(meet(X1,meet(X0,complement(meet(X0,X1)))),zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41551,f472]) ).
fof(f41566,plain,
! [X0,X1] : join(complement(X0),meet(X0,complement(meet(X0,X1)))) = ifeq(zero,zero,complement(meet(X1,X0)),join(complement(X0),meet(X0,complement(meet(X0,X1))))),
inference(forward_demodulation,[],[f41561,f594]) ).
fof(f41569,plain,
! [X0,X1] : complement(meet(X1,X0)) = join(complement(X0),meet(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f41566,f1]) ).
fof(f41679,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = complement(meet(complement(meet(X0,X1)),X0)),
inference(superposition,[],[f41569,f9313]) ).
fof(f41681,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = complement(meet(complement(meet(X1,X0)),X0)),
inference(superposition,[],[f41569,f15050]) ).
fof(f41697,plain,
! [X0,X1] : complement(X1) = meet(complement(X1),complement(meet(X0,X1))),
inference(superposition,[],[f4,f41569]) ).
fof(f41713,plain,
! [X2,X0,X1] : meet(complement(X1),X2) = meet(complement(X1),meet(X2,complement(meet(X0,X1)))),
inference(superposition,[],[f405,f41569]) ).
fof(f41771,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = complement(meet(X0,complement(meet(X1,X0)))),
inference(forward_demodulation,[],[f41681,f14978]) ).
fof(f41773,plain,
! [X0,X1] : join(complement(X0),meet(X0,X1)) = complement(meet(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f41679,f14978]) ).
fof(f41913,plain,
! [X0,X1] : ifeq(join(X1,X0),one,join(complement(X0),meet(X0,X1)),X1) = X1,
inference(backward_demodulation,[],[f21767,f41771]) ).
fof(f43560,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(complement(X0),meet(X0,X1))),
inference(superposition,[],[f9296,f41773]) ).
fof(f44049,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(join(X0,X1)),complement(X0)),
inference(superposition,[],[f41697,f4]) ).
fof(f44119,plain,
! [X0,X1] : complement(X0) = meet(complement(X0),complement(meet(X0,X1))),
inference(superposition,[],[f41697,f14978]) ).
fof(f44282,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(join(X0,X1))),
inference(forward_demodulation,[],[f44049,f6]) ).
fof(f44534,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),meet(complement(meet(X0,X1)),complement(meet(complement(meet(X0,X1)),complement(X0))))),
inference(superposition,[],[f9421,f44119]) ).
fof(f44585,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(meet(X0,X1))),
inference(forward_demodulation,[],[f44534,f9423]) ).
fof(f45051,plain,
complement(sF4) = join(complement(sF1),complement(sF4)),
inference(superposition,[],[f44585,f20384]) ).
fof(f45496,plain,
complement(sF1) = ifeq(join(complement(sF1),complement(complement(sF4))),one,complement(sF4),complement(sF1)),
inference(superposition,[],[f21764,f45051]) ).
fof(f45499,plain,
complement(sF1) = ifeq(join(complement(sF1),sF4),one,complement(sF4),complement(sF1)),
inference(forward_demodulation,[],[f45496,f9296]) ).
fof(f45516,plain,
complement(sF1) = ifeq(join(sF4,complement(sF1)),one,complement(sF4),complement(sF1)),
inference(forward_demodulation,[],[f45499,f7]) ).
fof(f45716,plain,
! [X0,X1] : join(complement(complement(X0)),complement(join(X0,X1))) = complement(meet(complement(X0),complement(complement(join(X0,X1))))),
inference(superposition,[],[f41773,f44282]) ).
fof(f45723,plain,
! [X0,X1] : complement(meet(complement(X0),join(X0,X1))) = join(complement(complement(X0)),complement(join(X0,X1))),
inference(forward_demodulation,[],[f45716,f9296]) ).
fof(f45788,plain,
! [X0,X1] : join(X0,complement(join(X0,X1))) = complement(meet(complement(X0),join(X0,X1))),
inference(forward_demodulation,[],[f45723,f9296]) ).
fof(f45827,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(join(X0,X1)))) = X0,
inference(backward_demodulation,[],[f19795,f45788]) ).
fof(f45963,plain,
! [X0,X1] : meet(X1,X0) = meet(X1,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f149,f45827]) ).
fof(f46758,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = ifeq(join(join(X1,complement(join(X1,X0))),X0),one,join(complement(X0),meet(X0,X1)),join(X1,complement(join(X1,X0)))),
inference(superposition,[],[f41913,f45963]) ).
fof(f46814,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = ifeq(join(X0,join(X1,complement(join(X1,X0)))),one,join(complement(X0),meet(X0,X1)),join(X1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f46758,f7]) ).
fof(f46986,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = ifeq(one,one,join(complement(X0),meet(X0,X1)),join(X1,complement(join(X1,X0)))),
inference(forward_demodulation,[],[f46814,f732]) ).
fof(f47120,plain,
! [X0,X1] : join(X1,complement(join(X1,X0))) = join(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[],[f46986,f1]) ).
fof(f48248,plain,
! [X0,X1] : join(X1,complement(join(X1,complement(X0)))) = join(X0,meet(complement(X0),X1)),
inference(superposition,[],[f47120,f9296]) ).
fof(f48329,plain,
! [X0,X1] : complement(join(complement(X0),meet(X0,X1))) = meet(complement(X1),complement(join(complement(X0),meet(X0,X1)))),
inference(superposition,[],[f44282,f47120]) ).
fof(f48347,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,join(X0,complement(join(X0,X1)))),
inference(superposition,[],[f917,f47120]) ).
fof(f48410,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X0,X1))),
inference(forward_demodulation,[],[f48347,f50]) ).
fof(f48421,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(X1),meet(X0,complement(meet(X0,X1)))),
inference(forward_demodulation,[],[f48329,f43560]) ).
fof(f48580,plain,
! [X0,X1] : join(X0,meet(complement(X0),X1)) = join(X1,complement(complement(X0))),
inference(backward_demodulation,[],[f48248,f48410]) ).
fof(f48625,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(complement(X1),X0),
inference(forward_demodulation,[],[f48421,f41713]) ).
fof(f48878,plain,
! [X0,X1] : join(X1,X0) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[],[f48580,f9296]) ).
fof(f49025,plain,
! [X0,X1] : join(meet(X0,X1),meet(complement(X1),X0)) = X0,
inference(backward_demodulation,[],[f9318,f48625]) ).
fof(f49029,plain,
! [X0,X1] : join(X1,X0) = join(X1,meet(complement(X1),X0)),
inference(backward_demodulation,[],[f9423,f48625]) ).
fof(f51362,plain,
! [X0,X1] : join(complement(X1),X0) = join(complement(X1),meet(X0,X1)),
inference(superposition,[],[f194,f49025]) ).
fof(f51734,plain,
join(complement(sF1),sF2) = join(complement(sF1),b),
inference(superposition,[],[f51362,f15831]) ).
fof(f51740,plain,
join(complement(sF1),sF3) = join(complement(sF1),c),
inference(superposition,[],[f51362,f20185]) ).
fof(f51833,plain,
join(complement(sF1),sF3) = join(c,complement(sF1)),
inference(forward_demodulation,[],[f51740,f7]) ).
fof(f51839,plain,
join(complement(sF1),sF2) = join(b,complement(sF1)),
inference(forward_demodulation,[],[f51734,f7]) ).
fof(f51934,plain,
join(sF3,complement(sF1)) = join(c,complement(sF1)),
inference(forward_demodulation,[],[f51833,f7]) ).
fof(f51940,plain,
join(sF2,complement(sF1)) = join(b,complement(sF1)),
inference(forward_demodulation,[],[f51839,f7]) ).
fof(f52173,plain,
! [X2,X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,meet(X1,join(complement(X0),X2))),
inference(superposition,[],[f49029,f405]) ).
fof(f52178,plain,
! [X2,X0,X1] : join(X0,meet(complement(X0),X1)) = join(X0,meet(join(complement(X0),X2),X1)),
inference(superposition,[],[f49029,f147]) ).
fof(f52331,plain,
! [X2,X0,X1] : join(X1,X0) = join(X0,meet(join(complement(X0),X2),X1)),
inference(forward_demodulation,[],[f52178,f48878]) ).
fof(f52336,plain,
! [X2,X0,X1] : join(X1,X0) = join(X0,meet(X1,join(complement(X0),X2))),
inference(forward_demodulation,[],[f52173,f48878]) ).
fof(f58428,plain,
! [X2,X3,X0,X1] : join(X1,join(meet(X0,join(complement(X1),X2)),meet(join(complement(X1),X2),X3))) = join(join(X0,meet(join(complement(X1),X2),X3)),X1),
inference(superposition,[],[f52331,f10772]) ).
fof(f58468,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(meet(join(complement(X1),X2),X0),join(X1,X3)),
inference(superposition,[],[f127,f52331]) ).
fof(f58560,plain,
! [X2,X3,X0,X1] : join(join(X0,X1),X3) = join(X1,join(X3,meet(join(complement(X1),X2),X0))),
inference(forward_demodulation,[],[f58468,f140]) ).
fof(f58584,plain,
! [X2,X3,X0,X1] : join(X1,join(meet(X0,join(complement(X1),X2)),meet(join(complement(X1),X2),X3))) = join(X1,join(X0,meet(join(complement(X1),X2),X3))),
inference(forward_demodulation,[],[f58428,f7]) ).
fof(f58631,plain,
! [X2,X3,X0,X1] : join(X0,join(X1,X3)) = join(X1,join(X3,meet(join(complement(X1),X2),X0))),
inference(forward_demodulation,[],[f58560,f9]) ).
fof(f58676,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X0)) = join(X1,join(meet(X0,join(complement(X1),X2)),meet(join(complement(X1),X2),X3))),
inference(backward_demodulation,[],[f58584,f58631]) ).
fof(f58698,plain,
! [X2,X3,X0,X1] : join(X3,join(X1,X0)) = join(X3,join(X1,meet(X0,join(complement(X1),X2)))),
inference(forward_demodulation,[],[f58676,f58631]) ).
fof(f58705,plain,
! [X3,X0,X1] : join(X3,join(X0,X1)) = join(X3,join(X1,X0)),
inference(forward_demodulation,[],[f58698,f52336]) ).
fof(f62412,plain,
join(sF4,complement(sF1)) = join(sF2,join(c,complement(sF1))),
inference(superposition,[],[f130,f51934]) ).
fof(f62463,plain,
join(sF4,complement(sF1)) = join(c,join(complement(sF1),sF2)),
inference(forward_demodulation,[],[f62412,f140]) ).
fof(f62479,plain,
join(sF4,complement(sF1)) = join(c,join(sF2,complement(sF1))),
inference(forward_demodulation,[],[f62463,f58705]) ).
fof(f62493,plain,
join(sF4,complement(sF1)) = join(c,join(b,complement(sF1))),
inference(forward_demodulation,[],[f62479,f51940]) ).
fof(f62502,plain,
join(sF4,complement(sF1)) = join(b,join(complement(sF1),c)),
inference(forward_demodulation,[],[f62493,f140]) ).
fof(f62508,plain,
join(sF4,complement(sF1)) = join(b,join(c,complement(sF1))),
inference(forward_demodulation,[],[f62502,f58705]) ).
fof(f62511,plain,
join(sF0,complement(sF1)) = join(sF4,complement(sF1)),
inference(forward_demodulation,[],[f62508,f129]) ).
fof(f62512,plain,
one = join(sF4,complement(sF1)),
inference(forward_demodulation,[],[f62511,f303]) ).
fof(f62514,plain,
complement(sF1) = ifeq(one,one,complement(sF4),complement(sF1)),
inference(backward_demodulation,[],[f45516,f62512]) ).
fof(f62516,plain,
complement(sF1) = complement(sF4),
inference(forward_demodulation,[],[f62514,f1]) ).
fof(f62535,plain,
sF1 = ifeq(meet(sF1,complement(sF1)),zero,sF4,sF1),
inference(backward_demodulation,[],[f23346,f62516]) ).
fof(f62596,plain,
sF1 = ifeq(zero,zero,sF4,sF1),
inference(forward_demodulation,[],[f62535,f11]) ).
fof(f62600,plain,
sF1 = sF4,
inference(forward_demodulation,[],[f62596,f1]) ).
fof(f62601,plain,
$false,
inference(forward_subsumption_resolution,[],[f62600,f25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : LAT190-10 : TPTP v9.3.1. Released v7.5.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.21/0.49 % Computer : n004.cluster.edu
% 0.21/0.49 % Model : x86_64 x86_64
% 0.21/0.49 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.21/0.49 % Memory : 8046.5625MB
% 0.21/0.49 % OS : Linux 6.8.0-71-generic
% 0.21/0.49 % CPULimit : 300
% 0.21/0.49 % WCLimit : 300
% 0.21/0.49 % DateTime : Sun Sep 27 14:05:07 UTC 2026
% 0.21/0.49 % CPUTime :
% 0.21/0.49 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.27/0.55 Running first-order theorem proving
% 0.27/0.55 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
% 54.58/8.68 % (3549508)Detected a unit-equality problem, will run specialized UEQ schedule.
% 54.58/8.68 % (3549519)dis-1010_7_sil=8000:fde=unused:flr=on:random_seed=1411917937:i=1187:sd=4:av=off:ss=axioms:sgt=32_2999 on theBenchmark for (2999ds/1187Mi)
% 54.58/8.68 % (3549517)dis+10_14_to=lpo:sil=8000:tgt=full:drc=off:sp=const_frequency:sos=all:random_seed=2145918958:i=181:gtgl=5:bs=unit_only:fsr=off:gtg=exists_all_2999 on theBenchmark for (2999ds/181Mi)
% 54.58/8.68 % (3549513)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=3898334054:i=138329:kws=inv_arity_squared:fgj=on:bd=preordered_2999 on theBenchmark for (2999ds/138329Mi)
% 54.58/8.68 % (3549515)lrs+10_1_ncem=casc2026/models/loop5.pt:sil=128000:tgt=ground:npcc=on:spb=goal_then_units:urr=ec_only:random_seed=4141950004:i=130716:gtgl=4:add=on:doe=on:bd=all:gtg=exists_sym_2999 on theBenchmark for (2999ds/130716Mi)
% 54.58/8.68 % (3549516)ott-1010_1_sfv=off:to=lpo:sil=8000:fdtod=off:sp=reverse_frequency:spb=goal_then_units:fd=preordered:random_seed=2798762341:i=136:bd=preordered:ins=2:av=off_2999 on theBenchmark for (2999ds/136Mi)
% 54.58/8.68 % (3549518)lrs+10_3_to=lpo:sil=64000:drc=off:fde=unused:sp=reverse_frequency:acc=on:bsr=on:fd=preordered:nwc=1:random_seed=3710195245:avsq=on:i=257:avsqr=16,3:bd=preordered:fsr=off_2999 on theBenchmark for (2999ds/257Mi)
% 54.58/8.68 % (3549514)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=2244499409:i=130792:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/130792Mi)
% 54.58/8.68 % (3549516)Instruction limit reached!
% 54.58/8.68 % (3549516)------------------------------
% 54.58/8.68 % (3549516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549516)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549516)Termination reason: Instruction limit
% 54.58/8.68 % (3549516)Termination phase: Saturation
% 54.58/8.68 % (3549516)Time elapsed: 0.139 s
% 54.58/8.68 % (3549516)Peak memory usage: 89 MB
% 54.58/8.68 % (3549516)Instructions burned: 137 (million)
% 54.58/8.68 % (3549517)Instruction limit reached!
% 54.58/8.68 % (3549517)------------------------------
% 54.58/8.68 % (3549517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549517)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549517)Termination reason: Instruction limit
% 54.58/8.68 % (3549517)Termination phase: Saturation
% 54.58/8.68 % (3549517)Time elapsed: 0.174 s
% 54.58/8.68 % (3549517)Peak memory usage: 89 MB
% 54.58/8.68 % (3549517)Instructions burned: 181 (million)
% 54.58/8.68 % (3549518)Instruction limit reached!
% 54.58/8.68 % (3549518)------------------------------
% 54.58/8.68 % (3549518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549518)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549518)Termination reason: Instruction limit
% 54.58/8.68 % (3549518)Termination phase: Saturation
% 54.58/8.68 % (3549518)Time elapsed: 0.270 s
% 54.58/8.68 % (3549518)Peak memory usage: 90 MB
% 54.58/8.68 % (3549518)Instructions burned: 258 (million)
% 54.58/8.68 % (3549529)lrs-1011_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:prc=on:fde=unused:lcm=predicate:bsr=on:flr=on:random_seed=370120461:i=2051:gtgl=2:fgj=on:bd=all:gtg=exists_top_2995 on theBenchmark for (2995ds/2051Mi)
% 54.58/8.68 % (3549530)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2096953782:i=4948:ss=axioms:sgt=16_2995 on theBenchmark for (2995ds/4948Mi)
% 54.58/8.68 % (3549519)Instruction limit reached!
% 54.58/8.68 % (3549519)------------------------------
% 54.58/8.68 % (3549519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549519)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549519)Termination reason: Instruction limit
% 54.58/8.68 % (3549519)Termination phase: Saturation
% 54.58/8.68 % (3549519)Time elapsed: 0.566 s
% 54.58/8.68 % (3549519)Peak memory usage: 99 MB
% 54.58/8.68 % (3549519)Instructions burned: 1189 (million)
% 54.58/8.68 % (3549531)lrs+10_5:1_sil=8000:sos=all:urr=on:br=off:flr=on:random_seed=4282501126:i=215:ep=RSTC_2994 on theBenchmark for (2994ds/215Mi)
% 54.58/8.68 % (3549531)Instruction limit reached!
% 54.58/8.68 % (3549531)------------------------------
% 54.58/8.68 % (3549531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549531)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549531)Termination reason: Instruction limit
% 54.58/8.68 % (3549531)Termination phase: Saturation
% 54.58/8.68 % (3549531)Time elapsed: 0.190 s
% 54.58/8.68 % (3549531)Peak memory usage: 90 MB
% 54.58/8.68 % (3549531)Instructions burned: 216 (million)
% 54.58/8.68 % (3549534)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=3234699898:avsq=on:i=317:avsqr=1,16:kws=arity_squared:add=off:fgj=on:ins=10:fsr=off:gtg=exists_sym_2991 on theBenchmark for (2991ds/317Mi)
% 54.58/8.68 % (3549534)Instruction limit reached!
% 54.58/8.68 % (3549534)------------------------------
% 54.58/8.68 % (3549534)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549534)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549534)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549534)Termination reason: Instruction limit
% 54.58/8.68 % (3549534)Termination phase: Saturation
% 54.58/8.68 % (3549534)Time elapsed: 0.177 s
% 54.58/8.68 % (3549534)Peak memory usage: 93 MB
% 54.58/8.68 % (3549534)Instructions burned: 317 (million)
% 54.58/8.68 % (3549536)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=2233296394:i=12125:sd=2:fgj=on:ss=axioms:sgt=64_2989 on theBenchmark for (2989ds/12125Mi)
% 54.58/8.68 % (3549538)lrs+10_32_sil=8000:tgt=ground:prc=on:sp=reverse_arity:spb=non_intro:random_seed=2432630998:i=2836:kws=inv_precedence:fgj=on:bd=preordered:ins=10_2987 on theBenchmark for (2987ds/2836Mi)
% 54.58/8.68 % (3549529)Instruction limit reached!
% 54.58/8.68 % (3549529)------------------------------
% 54.58/8.68 % (3549529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549529)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549529)Termination reason: Instruction limit
% 54.58/8.68 % (3549529)Termination phase: Saturation
% 54.58/8.68 % (3549529)Time elapsed: 2.215 s
% 54.58/8.68 % (3549529)Peak memory usage: 142 MB
% 54.58/8.68 % (3549529)Instructions burned: 2052 (million)
% 54.58/8.68 % (3549538)Instruction limit reached!
% 54.58/8.68 % (3549538)------------------------------
% 54.58/8.68 % (3549538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549538)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549538)Termination reason: Instruction limit
% 54.58/8.68 % (3549538)Termination phase: Saturation
% 54.58/8.68 % (3549538)Time elapsed: 1.654 s
% 54.58/8.68 % (3549538)Peak memory usage: 145 MB
% 54.58/8.68 % (3549538)Instructions burned: 2836 (million)
% 54.58/8.68 % (3549543)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=310776954:i=14534:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2970 on theBenchmark for (2970ds/14534Mi)
% 54.58/8.68 % (3549544)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=3982201156:i=11832:s2at=3:bs=on:bd=preordered:fsd=on_2968 on theBenchmark for (2968ds/11832Mi)
% 54.58/8.68 % (3549530)Instruction limit reached!
% 54.58/8.68 % (3549530)------------------------------
% 54.58/8.68 % (3549530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.58/8.68 % (3549530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.58/8.68 % (3549530)CaDiCaL version: 2.1.3
% 54.58/8.68 % (3549530)Termination reason: Instruction limit
% 54.58/8.68 % (3549530)Termination phase: Saturation
% 54.58/8.68 % (3549530)Time elapsed: 5.147 s
% 54.58/8.68 % (3549530)Peak memory usage: 162 MB
% 54.58/8.68 % (3549530)Instructions burned: 4948 (million)
% 54.58/8.68 % (3549547)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=381617019:i=2279:fgj=on:bd=all_2940 on theBenchmark for (2940ds/2279Mi)
% 54.58/8.68 % (3549544)First to succeed.
% 54.58/8.68 % (3549544)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3549508"
% 54.58/8.68 % (3549544)Refutation found. Thanks to Tanya!
% 54.58/8.68 % SZS status Unsatisfiable for theBenchmark
% 54.58/8.68 % SZS output start Proof for theBenchmark
% See solution above
% 55.31/8.87 % (3549544)------------------------------
% 55.31/8.87 % (3549544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 55.31/8.87 % (3549544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 55.31/8.87 % (3549544)CaDiCaL version: 2.1.3
% 55.31/8.87 % (3549544)Termination reason: Refutation
% 55.31/8.87 % (3549544)Time elapsed: 4.134 s
% 55.31/8.87 % (3549544)Peak memory usage: 185 MB
% 55.31/8.87 % (3549544)Instructions burned: 7495 (million)
% 55.31/8.87 % (3549544)------------------------------
% 55.31/8.87 % (3549544)------------------------------
% 55.31/8.87 % (3549508)Success in time 7.692 s
% 55.31/8.87 % Vampire exiting
%------------------------------------------------------------------------------