TSTP Solution File: REL007+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:32:15 EDT 2023
% Result : Theorem 3.60s 0.88s
% Output : CNFRefutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 12
% Syntax : Number of formulae : 156 ( 152 unt; 0 def)
% Number of atoms : 160 ( 159 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 215 (; 213 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1] :
( meet(X0,converse(X1)) = zero
=> meet(converse(X0),X1) = zero ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] :
( meet(X0,converse(X1)) = zero
=> meet(converse(X0),X1) = zero ),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
? [X0,X1] :
( meet(X0,converse(X1)) = zero
& meet(converse(X0),X1) != zero ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
( meet(sk0_0,converse(sk0_1)) = zero
& meet(converse(sk0_0),sk0_1) != zero ),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
meet(sk0_0,converse(sk0_1)) = zero,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
meet(converse(sk0_0),sk0_1) != zero,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f34,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f36,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f39,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f100,plain,
! [X0,X1] : join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)) = complement(X1),
inference(paramodulation,[status(thm)],[f23,f26]) ).
fof(f145,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f39]) ).
fof(f146,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f145]) ).
fof(f166,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f167,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f166]) ).
fof(f186,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f36]) ).
fof(f187,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f27,f34]) ).
fof(f188,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f28,f187]) ).
fof(f189,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f188]) ).
fof(f192,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f193,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f192]) ).
fof(f212,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f146]) ).
fof(f229,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f212,f146]) ).
fof(f249,plain,
! [X0] : join(complement(composition(converse(one),X0)),complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f229,f100]) ).
fof(f250,plain,
! [X0] : join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f249]) ).
fof(f251,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f212,f250]) ).
fof(f252,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f229,f251]) ).
fof(f270,plain,
meet(sk0_1,converse(sk0_0)) != zero,
inference(paramodulation,[status(thm)],[f167,f32]) ).
fof(f278,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f193,f252]) ).
fof(f279,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f193,f278]) ).
fof(f280,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f193,f279]) ).
fof(f294,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f252,f19]) ).
fof(f295,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f296,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f306,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f307,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f306]) ).
fof(f314,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f315,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f314]) ).
fof(f316,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f315]) ).
fof(f320,plain,
sk0_0 = join(zero,complement(join(complement(sk0_0),converse(sk0_1)))),
inference(paramodulation,[status(thm)],[f31,f316]) ).
fof(f322,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f28,f316]) ).
fof(f323,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f19,f322]) ).
fof(f338,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))),
inference(paramodulation,[status(thm)],[f19,f316]) ).
fof(f339,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)),
inference(forward_demodulation,[status(thm)],[f16,f338]) ).
fof(f340,plain,
! [X0,X1,X2] : join(complement(X0),complement(X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f33,f339]) ).
fof(f386,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f280,f17]) ).
fof(f406,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f294,f323]) ).
fof(f437,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f406,f189]) ).
fof(f438,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f167,f437]) ).
fof(f439,plain,
meet(join(complement(sk0_0),converse(sk0_1)),top) = complement(sk0_0),
inference(paramodulation,[status(thm)],[f320,f189]) ).
fof(f440,plain,
meet(top,join(complement(sk0_0),converse(sk0_1))) = complement(sk0_0),
inference(forward_demodulation,[status(thm)],[f167,f439]) ).
fof(f697,plain,
! [X0] : join(complement(X0),join(complement(X0),complement(complement(X0)))) = top,
inference(paramodulation,[status(thm)],[f252,f295]) ).
fof(f698,plain,
! [X0] : join(complement(X0),top) = top,
inference(forward_demodulation,[status(thm)],[f27,f697]) ).
fof(f699,plain,
! [X0] : join(top,complement(X0)) = top,
inference(forward_demodulation,[status(thm)],[f16,f698]) ).
fof(f716,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X1,X0)))) = top,
inference(paramodulation,[status(thm)],[f16,f295]) ).
fof(f737,plain,
! [X0] : join(X0,top) = top,
inference(paramodulation,[status(thm)],[f699,f295]) ).
fof(f744,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f737]) ).
fof(f760,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f186,f744]) ).
fof(f773,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[status(thm)],[f760,f186]) ).
fof(f1007,plain,
! [X0] : join(zero,X0) = join(zero,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f406,f386]) ).
fof(f1008,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f406,f1007]) ).
fof(f1039,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1008,f406]) ).
fof(f1061,plain,
! [X0] : meet(X0,X0) = X0,
inference(backward_demodulation,[status(thm)],[f1039,f294]) ).
fof(f1063,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f1039]) ).
fof(f1065,plain,
! [X0] : meet(top,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1039,f438]) ).
fof(f1066,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1039,f1065]) ).
fof(f1071,plain,
! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1039,f252]) ).
fof(f1072,plain,
! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f1071]) ).
fof(f1073,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1039,f1072]) ).
fof(f1074,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1039,f1073]) ).
fof(f1280,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(meet(X0,X0),complement(X1))),
inference(paramodulation,[status(thm)],[f1074,f33]) ).
fof(f1281,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f1061,f1280]) ).
fof(f1294,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1074,f17]) ).
fof(f1347,plain,
join(complement(sk0_0),converse(sk0_1)) = complement(sk0_0),
inference(backward_demodulation,[status(thm)],[f1066,f440]) ).
fof(f1352,plain,
! [X0] : meet(X0,top) = X0,
inference(paramodulation,[status(thm)],[f167,f1066]) ).
fof(f1538,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f316,f1294]) ).
fof(f1539,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f1538]) ).
fof(f1540,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f316,f1539]) ).
fof(f1595,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f167,f1540]) ).
fof(f1771,plain,
! [X0,X1] : join(X0,top) = join(complement(X1),join(X0,X1)),
inference(paramodulation,[status(thm)],[f27,f296]) ).
fof(f1772,plain,
! [X0,X1] : top = join(complement(X0),join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f737,f1771]) ).
fof(f1773,plain,
! [X0,X1] : top = join(X0,join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f296,f1772]) ).
fof(f2119,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f1773,f316]) ).
fof(f2120,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f16,f2119]) ).
fof(f2121,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f193,f2120]) ).
fof(f2122,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f1008,f2121]) ).
fof(f2123,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1039,f2122]) ).
fof(f2182,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(paramodulation,[status(thm)],[f16,f2123]) ).
fof(f2225,plain,
! [X0,X1] : converse(X0) = meet(converse(X0),converse(join(X1,X0))),
inference(paramodulation,[status(thm)],[f24,f2182]) ).
fof(f2865,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f296,f307]) ).
fof(f3507,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(join(X1,complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f716,f316]) ).
fof(f3508,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f3507]) ).
fof(f3509,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(join(X1,complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f193,f3508]) ).
fof(f3510,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(join(X1,complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1008,f3509]) ).
fof(f3882,plain,
! [X0,X1,X2] : complement(meet(X0,X1)) = join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f1063,f340]) ).
fof(f3883,plain,
! [X0,X1,X2] : complement(meet(X0,X1)) = complement(meet(join(meet(X0,X1),X2),join(meet(X0,X1),complement(X2)))),
inference(forward_demodulation,[status(thm)],[f1063,f3882]) ).
fof(f3932,plain,
! [X0,X1] : complement(meet(top,X0)) = complement(meet(join(X0,X1),join(meet(top,X0),complement(X1)))),
inference(paramodulation,[status(thm)],[f1066,f3883]) ).
fof(f3933,plain,
! [X0,X1] : complement(X0) = complement(meet(join(X0,X1),join(meet(top,X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f1066,f3932]) ).
fof(f3934,plain,
! [X0,X1] : complement(X0) = complement(meet(join(X0,X1),join(X0,complement(X1)))),
inference(forward_demodulation,[status(thm)],[f1066,f3933]) ).
fof(f5231,plain,
converse(converse(sk0_1)) = meet(converse(converse(sk0_1)),converse(complement(sk0_0))),
inference(paramodulation,[status(thm)],[f1347,f2225]) ).
fof(f5232,plain,
sk0_1 = meet(converse(converse(sk0_1)),converse(complement(sk0_0))),
inference(forward_demodulation,[status(thm)],[f23,f5231]) ).
fof(f5233,plain,
sk0_1 = meet(converse(complement(sk0_0)),converse(converse(sk0_1))),
inference(forward_demodulation,[status(thm)],[f167,f5232]) ).
fof(f5234,plain,
sk0_1 = meet(converse(complement(sk0_0)),sk0_1),
inference(forward_demodulation,[status(thm)],[f23,f5233]) ).
fof(f5235,plain,
sk0_1 = meet(sk0_1,converse(complement(sk0_0))),
inference(forward_demodulation,[status(thm)],[f167,f5234]) ).
fof(f10222,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(complement(X1),X0))),
inference(forward_demodulation,[status(thm)],[f1281,f3510]) ).
fof(f10313,plain,
! [X0,X1] : join(join(X0,meet(complement(X0),X1)),X1) = join(X0,meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f10222,f1595]) ).
fof(f10314,plain,
! [X0,X1] : join(X0,join(meet(complement(X0),X1),X1)) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f17,f10313]) ).
fof(f10315,plain,
! [X0,X1] : join(X0,join(X1,meet(complement(X0),X1))) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f2865,f10314]) ).
fof(f10316,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f1595,f10315]) ).
fof(f10348,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1039,f10316]) ).
fof(f10947,plain,
join(complement(sk0_1),converse(complement(sk0_0))) = join(complement(sk0_1),sk0_1),
inference(paramodulation,[status(thm)],[f5235,f10348]) ).
fof(f10948,plain,
join(complement(sk0_1),converse(complement(sk0_0))) = join(sk0_1,complement(sk0_1)),
inference(forward_demodulation,[status(thm)],[f16,f10947]) ).
fof(f10949,plain,
join(complement(sk0_1),converse(complement(sk0_0))) = top,
inference(forward_demodulation,[status(thm)],[f27,f10948]) ).
fof(f13973,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(X1))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f3934,f1039]) ).
fof(f13974,plain,
! [X0,X1] : meet(join(X0,X1),join(X0,complement(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f1039,f13973]) ).
fof(f14052,plain,
! [X0] : meet(top,join(X0,complement(converse(complement(converse(X0)))))) = X0,
inference(paramodulation,[status(thm)],[f773,f13974]) ).
fof(f14053,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1066,f14052]) ).
fof(f14113,plain,
! [X0,X1] : meet(join(X0,X1),join(complement(X1),X0)) = X0,
inference(paramodulation,[status(thm)],[f16,f13974]) ).
fof(f14369,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(paramodulation,[status(thm)],[f14053,f36]) ).
fof(f14370,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f23,f14369]) ).
fof(f14371,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f23,f14370]) ).
fof(f16912,plain,
! [X0] : meet(join(converse(complement(converse(complement(complement(X0))))),X0),complement(X0)) = converse(complement(converse(complement(complement(X0))))),
inference(paramodulation,[status(thm)],[f14371,f14113]) ).
fof(f16913,plain,
! [X0] : meet(complement(X0),join(converse(complement(converse(complement(complement(X0))))),X0)) = converse(complement(converse(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f167,f16912]) ).
fof(f16914,plain,
! [X0] : meet(complement(X0),join(X0,converse(complement(converse(complement(complement(X0))))))) = converse(complement(converse(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f16,f16913]) ).
fof(f16915,plain,
! [X0] : meet(complement(X0),join(X0,converse(complement(converse(X0))))) = converse(complement(converse(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1039,f16914]) ).
fof(f16916,plain,
! [X0] : meet(complement(X0),top) = converse(complement(converse(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f773,f16915]) ).
fof(f16917,plain,
! [X0] : complement(X0) = converse(complement(converse(complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1352,f16916]) ).
fof(f16918,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f1039,f16917]) ).
fof(f17028,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f23,f16918]) ).
fof(f17091,plain,
join(complement(sk0_1),complement(converse(sk0_0))) = top,
inference(backward_demodulation,[status(thm)],[f17028,f10949]) ).
fof(f17092,plain,
complement(meet(sk0_1,converse(sk0_0))) = top,
inference(forward_demodulation,[status(thm)],[f1063,f17091]) ).
fof(f18102,plain,
meet(sk0_1,converse(sk0_0)) = complement(top),
inference(paramodulation,[status(thm)],[f17092,f1039]) ).
fof(f18103,plain,
meet(sk0_1,converse(sk0_0)) = zero,
inference(forward_demodulation,[status(thm)],[f193,f18102]) ).
fof(f18104,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f18103,f270]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL007+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue May 30 10:02:42 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.36 % Drodi V3.5.1
% 3.60/0.88 % Refutation found
% 3.60/0.88 % SZS status Theorem for theBenchmark: Theorem is valid
% 3.60/0.88 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.60/0.91 % Elapsed time: 0.555725 seconds
% 3.60/0.91 % CPU time: 3.712710 seconds
% 3.60/0.91 % Memory used: 46.849 MB
%------------------------------------------------------------------------------