TSTP Solution File: REL004+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 : Tue Apr 30 20:37:18 EDT 2024
% Result : Theorem 2.00s 0.65s
% Output : CNFRefutation 2.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 40
% Number of leaves : 13
% Syntax : Number of formulae : 145 ( 145 unt; 0 def)
% Number of atoms : 145 ( 144 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 206 ( 205 !; 1 ?)
% 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
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] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
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(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
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] : converse(complement(X0)) != complement(converse(X0)),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
converse(complement(sk0_0)) != complement(converse(sk0_0)),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
converse(complement(sk0_0)) != complement(converse(sk0_0)),
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] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f37,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f42,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f43,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f44,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f43]) ).
fof(f51,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f57,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f66,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f67,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f66]) ).
fof(f68,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f69,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f68]) ).
fof(f106,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f67,f27]) ).
fof(f126,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f137,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f16,f42]) ).
fof(f139,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(paramodulation,[status(thm)],[f67,f42]) ).
fof(f199,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(composition(one,X1)),X0),
inference(paramodulation,[status(thm)],[f57,f51]) ).
fof(f200,plain,
! [X0,X1] : composition(converse(X0),X1) = composition(converse(composition(one,X0)),X1),
inference(forward_demodulation,[status(thm)],[f51,f199]) ).
fof(f201,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f51]) ).
fof(f202,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f201]) ).
fof(f231,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f126]) ).
fof(f261,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f28,f35]) ).
fof(f262,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f19,f261]) ).
fof(f269,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))),
inference(paramodulation,[status(thm)],[f42,f35]) ).
fof(f270,plain,
! [X0,X1] : X0 = join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f16,f269]) ).
fof(f271,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f35]) ).
fof(f272,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f271]) ).
fof(f273,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f67,f272]) ).
fof(f274,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f35]) ).
fof(f282,plain,
! [X0,X1] : join(zero,join(meet(X0,X0),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f262,f17]) ).
fof(f302,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f231,f35]) ).
fof(f303,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f16,f302]) ).
fof(f312,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f35,f137]) ).
fof(f313,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f312]) ).
fof(f314,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f37,f313]) ).
fof(f315,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f42,f314]) ).
fof(f349,plain,
! [X0] : join(zero,top) = join(X0,complement(meet(X0,X0))),
inference(paramodulation,[status(thm)],[f27,f282]) ).
fof(f350,plain,
! [X0] : join(top,zero) = join(X0,complement(meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f16,f349]) ).
fof(f351,plain,
! [X0] : top = join(X0,complement(meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f106,f350]) ).
fof(f443,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f69,f274]) ).
fof(f508,plain,
! [X0,X1] : join(join(X0,complement(X1)),X1) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f443,f137]) ).
fof(f509,plain,
! [X0,X1] : join(X0,join(complement(X1),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f508]) ).
fof(f510,plain,
! [X0,X1] : join(X0,join(X1,complement(X1))) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f509]) ).
fof(f511,plain,
! [X0,X1] : join(X0,top) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f27,f510]) ).
fof(f512,plain,
! [X0,X1] : join(X0,top) = join(top,X1),
inference(forward_demodulation,[status(thm)],[f315,f511]) ).
fof(f518,plain,
! [X0] : join(top,X0) = join(one,top),
inference(equality_split,[status(esa)],[f512]) ).
fof(f521,plain,
converse(top) = join(one,top),
inference(paramodulation,[status(thm)],[f231,f518]) ).
fof(f523,plain,
top = join(one,top),
inference(paramodulation,[status(thm)],[f36,f518]) ).
fof(f524,plain,
top = converse(top),
inference(forward_demodulation,[status(thm)],[f521,f523]) ).
fof(f575,plain,
! [X0] : X0 = join(meet(X0,top),complement(join(one,top))),
inference(paramodulation,[status(thm)],[f518,f274]) ).
fof(f576,plain,
! [X0] : X0 = join(meet(X0,top),complement(converse(top))),
inference(forward_demodulation,[status(thm)],[f521,f575]) ).
fof(f577,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f16,f576]) ).
fof(f578,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f524,f577]) ).
fof(f579,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f67,f578]) ).
fof(f632,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f524,f303]) ).
fof(f633,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f67,f632]) ).
fof(f670,plain,
! [X0] : composition(converse(X0),one) = converse(composition(one,X0)),
inference(paramodulation,[status(thm)],[f21,f200]) ).
fof(f671,plain,
! [X0] : converse(X0) = converse(composition(one,X0)),
inference(forward_demodulation,[status(thm)],[f21,f670]) ).
fof(f890,plain,
! [X0] : converse(converse(X0)) = composition(one,X0),
inference(paramodulation,[status(thm)],[f671,f23]) ).
fof(f891,plain,
! [X0] : X0 = composition(one,X0),
inference(forward_demodulation,[status(thm)],[f23,f890]) ).
fof(f898,plain,
! [X0] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f891,f33]) ).
fof(f899,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f202,f898]) ).
fof(f918,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f899,f19]) ).
fof(f919,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f899,f35]) ).
fof(f920,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f919]) ).
fof(f921,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f920]) ).
fof(f922,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f921]) ).
fof(f923,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f899,f42]) ).
fof(f924,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f27,f923]) ).
fof(f954,plain,
! [X0] : top = join(X0,complement(complement(complement(X0)))),
inference(backward_demodulation,[status(thm)],[f918,f351]) ).
fof(f973,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f19,f922]) ).
fof(f974,plain,
! [X0] : join(top,X0) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f922,f139]) ).
fof(f975,plain,
! [X0] : join(top,X0) = top,
inference(forward_demodulation,[status(thm)],[f924,f974]) ).
fof(f1027,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(complement(X0)),X1))),
inference(backward_demodulation,[status(thm)],[f975,f270]) ).
fof(f1028,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(complement(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f67,f1027]) ).
fof(f1229,plain,
! [X0] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f954,f443]) ).
fof(f1230,plain,
! [X0] : complement(complement(X0)) = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f1229]) ).
fof(f1231,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f67,f1230]) ).
fof(f1232,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f273,f1231]) ).
fof(f1259,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f1232,f922]) ).
fof(f1267,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(X0,X1))),
inference(backward_demodulation,[status(thm)],[f1232,f1028]) ).
fof(f1268,plain,
! [X0,X1] : X0 = meet(X0,join(X0,X1)),
inference(forward_demodulation,[status(thm)],[f1259,f1267]) ).
fof(f1288,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(backward_demodulation,[status(thm)],[f1259,f633]) ).
fof(f1289,plain,
! [X0] : X0 = meet(X0,top),
inference(backward_demodulation,[status(thm)],[f1259,f579]) ).
fof(f1292,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f1259,f973]) ).
fof(f1338,plain,
! [X0] : X0 = join(X0,complement(join(top,complement(X0)))),
inference(paramodulation,[status(thm)],[f1289,f274]) ).
fof(f1339,plain,
! [X0] : X0 = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f975,f1338]) ).
fof(f1340,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f67,f1339]) ).
fof(f1507,plain,
! [X0] : X0 = meet(X0,X0),
inference(paramodulation,[status(thm)],[f1340,f1268]) ).
fof(f1954,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1232,f1292]) ).
fof(f1960,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f1232,f1292]) ).
fof(f2078,plain,
! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1507,f1960]) ).
fof(f2079,plain,
! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f2078]) ).
fof(f2080,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1232,f2079]) ).
fof(f2081,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1232,f2080]) ).
fof(f2166,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f2081,f44]) ).
fof(f2186,plain,
! [X0,X1] : join(complement(join(X0,complement(X1))),X1) = join(meet(X0,X1),complement(join(X0,complement(X1)))),
inference(paramodulation,[status(thm)],[f443,f2166]) ).
fof(f2187,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = join(meet(X1,X0),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f2186]) ).
fof(f2188,plain,
! [X0,X1] : join(X0,complement(join(X1,complement(X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f443,f2187]) ).
fof(f2287,plain,
! [X0,X1] : join(X0,complement(complement(meet(X1,X0)))) = X0,
inference(paramodulation,[status(thm)],[f1292,f2188]) ).
fof(f2288,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f1232,f2287]) ).
fof(f2358,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f2288,f126]) ).
fof(f2359,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f23,f2358]) ).
fof(f2521,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f1288,f2359]) ).
fof(f2522,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f2521]) ).
fof(f2569,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1288,f1954]) ).
fof(f2570,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1232,f2569]) ).
fof(f2571,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1232,f2570]) ).
fof(f2657,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f23,f2571]) ).
fof(f2658,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f2522,f2657]) ).
fof(f2731,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1232,f2658]) ).
fof(f2766,plain,
complement(converse(sk0_0)) != complement(converse(sk0_0)),
inference(backward_demodulation,[status(thm)],[f2731,f31]) ).
fof(f2767,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f2766]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : REL004+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.35 % Computer : n018.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8042.1875MB
% 0.11/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Apr 29 21:18:28 EDT 2024
% 0.11/0.35 % CPUTime :
% 0.11/0.36 % Drodi V3.6.0
% 2.00/0.65 % Refutation found
% 2.00/0.65 % SZS status Theorem for theBenchmark: Theorem is valid
% 2.00/0.65 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.00/0.67 % Elapsed time: 0.317377 seconds
% 2.00/0.67 % CPU time: 2.357854 seconds
% 2.00/0.67 % Total memory used: 56.804 MB
% 2.00/0.67 % Net memory used: 54.949 MB
%------------------------------------------------------------------------------