TSTP Solution File: REL005+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL005+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.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 12:32:14 EDT 2023
% Result : Theorem 26.50s 3.83s
% Output : CNFRefutation 27.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 54
% Number of leaves : 12
% Syntax : Number of formulae : 194 ( 194 unt; 0 def)
% Number of atoms : 194 ( 193 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 332 (; 330 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
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] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1)),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
converse(meet(sk0_0,sk0_1)) != meet(converse(sk0_0),converse(sk0_1)),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
converse(meet(sk0_0,sk0_1)) != meet(converse(sk0_0),converse(sk0_1)),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f33,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f32]) ).
fof(f35,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f34]) ).
fof(f36,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(f37,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(f38,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f39,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f41,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f42,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f19,f33]) ).
fof(f43,plain,
! [X0,X1,X2] : join(meet(X0,X1),composition(converse(X2),complement(composition(X2,join(complement(X0),complement(X1)))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f23,f33]) ).
fof(f104,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f35]) ).
fof(f105,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f104]) ).
fof(f108,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,f35]) ).
fof(f109,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,f108]) ).
fof(f110,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)],[f36,f109]) ).
fof(f250,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f41]) ).
fof(f251,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f250]) ).
fof(f256,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f38]) ).
fof(f263,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f27,f37]) ).
fof(f264,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f28,f263]) ).
fof(f265,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f264]) ).
fof(f269,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f270,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f269]) ).
fof(f331,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f251]) ).
fof(f334,plain,
! [X0,X1] : join(meet(X0,X1),complement(composition(one,join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f251,f43]) ).
fof(f337,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f251,f44]) ).
fof(f357,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f331,f251]) ).
fof(f358,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f357,f334]) ).
fof(f359,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f358]) ).
fof(f361,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f357,f337]) ).
fof(f417,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f24,f16]) ).
fof(f418,plain,
! [X0,X1] : converse(join(X0,X1)) = converse(join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f24,f417]) ).
fof(f427,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X2,X1))),
inference(paramodulation,[status(thm)],[f16,f37]) ).
fof(f428,plain,
! [X0,X1,X2] : complement(join(complement(X0),meet(X1,X2))) = complement(join(complement(X0),meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f37,f427]) ).
fof(f431,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f432,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f431]) ).
fof(f433,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f35]) ).
fof(f481,plain,
join(zero,complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f270,f361]) ).
fof(f482,plain,
join(zero,zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f270,f481]) ).
fof(f483,plain,
join(zero,zero) = zero,
inference(forward_demodulation,[status(thm)],[f270,f482]) ).
fof(f500,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f361,f35]) ).
fof(f501,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f500]) ).
fof(f502,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f501]) ).
fof(f503,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f502]) ).
fof(f579,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f256,f35]) ).
fof(f580,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f579]) ).
fof(f594,plain,
! [X0,X1,X2] : join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2)) = join(X0,X2),
inference(paramodulation,[status(thm)],[f35,f17]) ).
fof(f680,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f432,f359]) ).
fof(f788,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(top),complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(paramodulation,[status(thm)],[f27,f110]) ).
fof(f789,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(meet(X0,X1)))))),
inference(forward_demodulation,[status(thm)],[f270,f788]) ).
fof(f882,plain,
! [X0] : join(zero,join(zero,X0)) = join(zero,X0),
inference(paramodulation,[status(thm)],[f483,f17]) ).
fof(f883,plain,
! [X0] : join(zero,X0) = join(zero,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f503,f882]) ).
fof(f884,plain,
! [X0] : join(zero,X0) = X0,
inference(forward_demodulation,[status(thm)],[f503,f883]) ).
fof(f897,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f884,f503]) ).
fof(f905,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f884,f789]) ).
fof(f906,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f897,f905]) ).
fof(f907,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f359,f906]) ).
fof(f921,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f884,f265]) ).
fof(f922,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f897,f921]) ).
fof(f954,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(backward_demodulation,[status(thm)],[f907,f37]) ).
fof(f1009,plain,
! [X0,X1,X2] : complement(join(complement(X0),meet(X1,X2))) = meet(X0,complement(meet(X2,X1))),
inference(backward_demodulation,[status(thm)],[f954,f428]) ).
fof(f1010,plain,
! [X0,X1,X2] : meet(X0,complement(meet(X1,X2))) = meet(X0,complement(meet(X2,X1))),
inference(forward_demodulation,[status(thm)],[f954,f1009]) ).
fof(f1054,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f432,f922]) ).
fof(f1056,plain,
! [X0] : join(meet(top,X0),X0) = meet(X0,top),
inference(paramodulation,[status(thm)],[f922,f680]) ).
fof(f1057,plain,
! [X0] : join(X0,meet(top,X0)) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f16,f1056]) ).
fof(f1058,plain,
! [X0] : join(X0,X0) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f1054,f1057]) ).
fof(f1059,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f922,f1058]) ).
fof(f1099,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1059,f17]) ).
fof(f1236,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f897,f907]) ).
fof(f1279,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f105,f1099]) ).
fof(f1280,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f1279]) ).
fof(f1281,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f105,f1280]) ).
fof(f1307,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f27,f1099]) ).
fof(f1308,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f1307]) ).
fof(f1309,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f16,f1099]) ).
fof(f1325,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f1308]) ).
fof(f1370,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f256,f1325]) ).
fof(f1396,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f1370,f580]) ).
fof(f1397,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f270,f1396]) ).
fof(f1398,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f884,f1397]) ).
fof(f1442,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f432,f1281]) ).
fof(f1446,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(converse(X0),X1))),
inference(paramodulation,[status(thm)],[f1281,f38]) ).
fof(f1447,plain,
! [X0,X1] : X0 = join(X0,converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f23,f1446]) ).
fof(f1478,plain,
! [X0] : complement(X0) = meet(complement(X0),converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f897,f1398]) ).
fof(f1565,plain,
! [X0] : complement(converse(X0)) = meet(complement(converse(X0)),converse(complement(X0))),
inference(paramodulation,[status(thm)],[f23,f1478]) ).
fof(f1566,plain,
! [X0] : join(converse(complement(converse(X0))),complement(X0)) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f1478,f1442]) ).
fof(f1567,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = converse(complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f16,f1566]) ).
fof(f1737,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(join(meet(X0,X1),meet(X1,X0))),
inference(paramodulation,[status(thm)],[f680,f418]) ).
fof(f1738,plain,
! [X0,X1] : converse(meet(X0,X1)) = converse(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f680,f1737]) ).
fof(f1859,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f432,f433]) ).
fof(f2203,plain,
! [X0] : join(converse(complement(X0)),complement(converse(X0))) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1565,f1442]) ).
fof(f2204,plain,
! [X0] : join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f2203]) ).
fof(f2241,plain,
! [X0,X1] : join(X0,join(complement(join(complement(top),X0)),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f1054,f594]) ).
fof(f2242,plain,
! [X0,X1] : join(X0,join(complement(join(zero,X0)),X1)) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f270,f2241]) ).
fof(f2243,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f884,f2242]) ).
fof(f2244,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = top,
inference(forward_demodulation,[status(thm)],[f1325,f2243]) ).
fof(f2383,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f16,f2244]) ).
fof(f2404,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(top)),
inference(paramodulation,[status(thm)],[f2244,f35]) ).
fof(f2405,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f16,f2404]) ).
fof(f2406,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f270,f2405]) ).
fof(f2407,plain,
! [X0,X1] : X0 = meet(X0,join(complement(complement(X0)),X1)),
inference(forward_demodulation,[status(thm)],[f884,f2406]) ).
fof(f2408,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f897,f2407]) ).
fof(f2461,plain,
! [X0,X1] : X0 = join(meet(X0,join(X1,complement(complement(X0)))),complement(top)),
inference(paramodulation,[status(thm)],[f2383,f35]) ).
fof(f2462,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f16,f2461]) ).
fof(f2463,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X1,complement(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f270,f2462]) ).
fof(f2464,plain,
! [X0,X1] : X0 = meet(X0,join(X1,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f884,f2463]) ).
fof(f2465,plain,
! [X0,X1] : X0 = meet(X0,join(X1,X0)),
inference(forward_demodulation,[status(thm)],[f897,f2464]) ).
fof(f2484,plain,
! [X0,X1,X2] : meet(X0,X1) = meet(meet(X0,X1),join(X0,X2)),
inference(paramodulation,[status(thm)],[f594,f2408]) ).
fof(f2621,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(join(X0,complement(X1))),X1),
inference(paramodulation,[status(thm)],[f433,f2465]) ).
fof(f2622,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(join(X0,complement(X1)))),
inference(forward_demodulation,[status(thm)],[f432,f2621]) ).
fof(f2635,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(converse(meet(converse(X0),X1)),X0),
inference(paramodulation,[status(thm)],[f1447,f2465]) ).
fof(f2636,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(X0,converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f432,f2635]) ).
fof(f3652,plain,
! [X0,X1] : join(X0,complement(X1)) = join(meet(meet(X0,X1),join(X0,complement(X1))),complement(X1)),
inference(paramodulation,[status(thm)],[f1859,f1859]) ).
fof(f3653,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(meet(X0,X1),join(X0,complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f3652]) ).
fof(f3654,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f2484,f3653]) ).
fof(f3714,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X1,meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f897,f3654]) ).
fof(f3715,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f897,f3714]) ).
fof(f3770,plain,
! [X0,X1] : join(X0,complement(X1)) = join(complement(X1),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f432,f3654]) ).
fof(f3808,plain,
! [X0,X1] : join(X0,complement(complement(X1))) = join(X1,meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f897,f3770]) ).
fof(f3809,plain,
! [X0,X1] : join(X0,X1) = join(X1,meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f897,f3808]) ).
fof(f4256,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(X1,converse(meet(X0,complement(converse(X1))))),
inference(paramodulation,[status(thm)],[f3715,f38]) ).
fof(f4257,plain,
! [X0,X1] : join(converse(X0),X1) = join(X1,converse(meet(X0,complement(converse(X1))))),
inference(forward_demodulation,[status(thm)],[f39,f4256]) ).
fof(f9012,plain,
! [X0,X1] : meet(X0,complement(meet(top,X1))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1054,f954]) ).
fof(f9013,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f1054,f9012]) ).
fof(f9255,plain,
! [X0,X1] : meet(X0,complement(join(X1,complement(X0)))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1309,f9013]) ).
fof(f9256,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = complement(join(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2622,f9255]) ).
fof(f9257,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9013,f9256]) ).
fof(f9276,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f897,f9013]) ).
fof(f9858,plain,
! [X0] : converse(converse(complement(converse(X0)))) = join(converse(complement(X0)),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f1567,f39]) ).
fof(f9859,plain,
! [X0] : complement(converse(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f23,f9858]) ).
fof(f9860,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f9859]) ).
fof(f9861,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f2204,f9860]) ).
fof(f10442,plain,
! [X0,X1] : converse(meet(converse(X0),X1)) = meet(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f1738,f2636]) ).
fof(f10996,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(X0,complement(complement(converse(X1)))))),
inference(paramodulation,[status(thm)],[f9861,f4257]) ).
fof(f10997,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(X0,converse(X1)))),
inference(forward_demodulation,[status(thm)],[f897,f10996]) ).
fof(f11650,plain,
! [X0,X1] : join(converse(meet(X0,converse(X1))),complement(X1)) = join(complement(X1),converse(meet(converse(X1),X0))),
inference(paramodulation,[status(thm)],[f10442,f3770]) ).
fof(f11651,plain,
! [X0,X1] : join(complement(X0),converse(meet(X1,converse(X0)))) = join(complement(X0),converse(meet(converse(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f11650]) ).
fof(f11652,plain,
! [X0,X1] : join(converse(X0),complement(X1)) = join(complement(X1),converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f10997,f11651]) ).
fof(f23298,plain,
! [X0,X1] : meet(X0,complement(meet(complement(complement(X0)),X1))) = complement(join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f3809,f9013]) ).
fof(f23299,plain,
! [X0,X1] : meet(X0,join(complement(X0),complement(X1))) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f1236,f23298]) ).
fof(f23300,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = complement(join(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f907,f23299]) ).
fof(f23301,plain,
! [X0,X1] : meet(X0,complement(meet(X0,X1))) = meet(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f9257,f23300]) ).
fof(f23395,plain,
! [X0,X1] : meet(X0,complement(meet(X1,X0))) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f1010,f23301]) ).
fof(f23437,plain,
! [X0,X1] : meet(complement(X0),complement(complement(join(X0,X1)))) = meet(complement(X0),complement(complement(X1))),
inference(paramodulation,[status(thm)],[f9276,f23301]) ).
fof(f23438,plain,
! [X0,X1] : complement(join(X0,complement(join(X0,X1)))) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9276,f23437]) ).
fof(f23439,plain,
! [X0,X1] : meet(join(X0,X1),complement(X0)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9257,f23438]) ).
fof(f23440,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f432,f23439]) ).
fof(f23441,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f9276,f23440]) ).
fof(f23442,plain,
! [X0,X1] : meet(complement(X0),join(X0,X1)) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9257,f23441]) ).
fof(f23801,plain,
! [X0,X1] : meet(complement(X0),complement(complement(join(X1,X0)))) = meet(complement(X0),complement(complement(X1))),
inference(paramodulation,[status(thm)],[f9276,f23395]) ).
fof(f23802,plain,
! [X0,X1] : complement(join(X0,complement(join(X1,X0)))) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f9276,f23801]) ).
fof(f23803,plain,
! [X0,X1] : meet(join(X0,X1),complement(X1)) = meet(complement(X1),complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f9257,f23802]) ).
fof(f23804,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(complement(X0),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f432,f23803]) ).
fof(f23805,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = complement(join(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f9276,f23804]) ).
fof(f23806,plain,
! [X0,X1] : meet(complement(X0),join(X1,X0)) = meet(X1,complement(X0)),
inference(forward_demodulation,[status(thm)],[f9257,f23805]) ).
fof(f25854,plain,
! [X0,X1] : meet(complement(complement(X0)),join(converse(X1),complement(X0))) = meet(converse(meet(converse(X0),X1)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f11652,f23442]) ).
fof(f25855,plain,
! [X0,X1] : meet(converse(X0),complement(complement(X1))) = meet(converse(meet(converse(X1),X0)),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f23806,f25854]) ).
fof(f25856,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(converse(meet(converse(X1),X0)),complement(complement(X1))),
inference(forward_demodulation,[status(thm)],[f897,f25855]) ).
fof(f25857,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(complement(complement(X1)),converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f432,f25856]) ).
fof(f25858,plain,
! [X0,X1] : meet(converse(X0),X1) = meet(X1,converse(meet(converse(X1),X0))),
inference(forward_demodulation,[status(thm)],[f897,f25857]) ).
fof(f25859,plain,
! [X0,X1] : meet(converse(X0),X1) = converse(meet(converse(X1),X0)),
inference(forward_demodulation,[status(thm)],[f2636,f25858]) ).
fof(f26874,plain,
! [X0,X1] : meet(converse(X0),converse(X1)) = converse(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f23,f25859]) ).
fof(f27138,plain,
converse(meet(sk0_0,sk0_1)) != converse(meet(sk0_1,sk0_0)),
inference(backward_demodulation,[status(thm)],[f26874,f31]) ).
fof(f27139,plain,
converse(meet(sk0_0,sk0_1)) != converse(meet(sk0_0,sk0_1)),
inference(forward_demodulation,[status(thm)],[f1738,f27138]) ).
fof(f27140,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f27139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : REL005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n001.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:34:45 EDT 2023
% 0.16/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 26.50/3.83 % Refutation found
% 26.50/3.83 % SZS status Theorem for theBenchmark: Theorem is valid
% 26.50/3.83 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 28.02/3.97 % Elapsed time: 3.635776 seconds
% 28.02/3.97 % CPU time: 27.772754 seconds
% 28.02/3.97 % Memory used: 293.457 MB
%------------------------------------------------------------------------------