TSTP Solution File: REL004+2 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:32:13 EDT 2023
% Result : Theorem 1.56s 0.62s
% Output : CNFRefutation 1.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 12
% Syntax : Number of formulae : 140 ( 140 unt; 0 def)
% Number of atoms : 140 ( 139 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 : 9 ( 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 : 192 (; 191 !; 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(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(f17,conjecture,
! [X0] : converse(complement(X0)) = complement(converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0] : converse(complement(X0)) = complement(converse(X0)),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f35,plain,
? [X0] : converse(complement(X0)) != complement(converse(X0)),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
converse(complement(sk0_0)) != complement(converse(sk0_0)),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
converse(complement(sk0_0)) != complement(converse(sk0_0)),
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f39,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f40,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f38]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f40]) ).
fof(f42,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f43,plain,
! [X0,X1,X2] : meet(X0,join(complement(X1),complement(X2))) = complement(join(complement(X0),meet(X1,X2))),
inference(paramodulation,[status(thm)],[f22,f22]) ).
fof(f44,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f47,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f48,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)],[f22,f39]) ).
fof(f49,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)],[f22,f48]) ).
fof(f50,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f26,f39]) ).
fof(f110,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f41]) ).
fof(f111,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f110]) ).
fof(f321,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f47]) ).
fof(f322,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f321]) ).
fof(f326,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f30,f44]) ).
fof(f330,plain,
! [X0,X1] : meet(top,X0) = complement(join(meet(X1,complement(X1)),complement(X0))),
inference(paramodulation,[status(thm)],[f30,f42]) ).
fof(f331,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f31,f330]) ).
fof(f332,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f30,f43]) ).
fof(f333,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f31,f332]) ).
fof(f334,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f333]) ).
fof(f335,plain,
! [X0] : meet(X0,top) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f331,f334]) ).
fof(f336,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f337,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f336]) ).
fof(f338,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f41]) ).
fof(f339,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f338]) ).
fof(f340,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f337,f339]) ).
fof(f353,plain,
! [X0] : X0 = join(meet(X0,top),meet(X0,zero)),
inference(paramodulation,[status(thm)],[f337,f111]) ).
fof(f364,plain,
zero = meet(top,zero),
inference(paramodulation,[status(thm)],[f337,f31]) ).
fof(f383,plain,
top = join(zero,meet(top,complement(zero))),
inference(paramodulation,[status(thm)],[f364,f111]) ).
fof(f399,plain,
! [X0] : X0 = join(meet(top,X0),meet(X0,complement(top))),
inference(paramodulation,[status(thm)],[f335,f111]) ).
fof(f400,plain,
! [X0] : X0 = join(meet(top,X0),meet(X0,zero)),
inference(forward_demodulation,[status(thm)],[f337,f399]) ).
fof(f416,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f322]) ).
fof(f422,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f322,f50]) ).
fof(f425,plain,
! [X0,X1] : join(meet(X0,X1),composition(converse(converse(one)),complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f322,f49]) ).
fof(f426,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f425]) ).
fof(f427,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,meet(X0,X1))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f426]) ).
fof(f441,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f416,f322]) ).
fof(f442,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f441,f427]) ).
fof(f443,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f441,f422]) ).
fof(f509,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f510,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f509]) ).
fof(f572,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f443,f41]) ).
fof(f573,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f572]) ).
fof(f574,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f573]) ).
fof(f575,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f574]) ).
fof(f581,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f685,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),complement(complement(complement(join(complement(X0),complement(X1)))))))),
inference(paramodulation,[status(thm)],[f42,f340]) ).
fof(f686,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)],[f22,f685]) ).
fof(f717,plain,
! [X0] : X0 = join(meet(X0,top),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f510,f353]) ).
fof(f733,plain,
complement(zero) = join(meet(complement(zero),top),zero),
inference(paramodulation,[status(thm)],[f31,f717]) ).
fof(f734,plain,
complement(zero) = join(zero,meet(complement(zero),top)),
inference(forward_demodulation,[status(thm)],[f19,f733]) ).
fof(f735,plain,
complement(zero) = join(zero,meet(top,complement(zero))),
inference(forward_demodulation,[status(thm)],[f510,f734]) ).
fof(f736,plain,
complement(zero) = top,
inference(forward_demodulation,[status(thm)],[f383,f735]) ).
fof(f842,plain,
! [X0] : meet(X0,zero) = complement(join(complement(X0),top)),
inference(paramodulation,[status(thm)],[f736,f22]) ).
fof(f843,plain,
! [X0] : meet(X0,zero) = complement(join(top,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f842]) ).
fof(f889,plain,
! [X0] : X0 = join(meet(X0,zero),meet(top,X0)),
inference(paramodulation,[status(thm)],[f19,f400]) ).
fof(f995,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f326,f41]) ).
fof(f996,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f995]) ).
fof(f1000,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f575,f331]) ).
fof(f1052,plain,
! [X0,X1] : meet(top,meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f1000]) ).
fof(f1053,plain,
! [X0,X1] : meet(top,meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f1052]) ).
fof(f1054,plain,
! [X0] : complement(X0) = join(meet(complement(X0),zero),complement(X0)),
inference(paramodulation,[status(thm)],[f1000,f889]) ).
fof(f1055,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f19,f1054]) ).
fof(f1056,plain,
! [X0] : complement(X0) = join(complement(X0),meet(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f510,f1055]) ).
fof(f1313,plain,
! [X0,X1] : meet(X0,X1) = join(meet(meet(X0,X1),zero),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f1053,f889]) ).
fof(f1314,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(meet(X0,X1),zero)),
inference(forward_demodulation,[status(thm)],[f19,f1313]) ).
fof(f1315,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),meet(zero,meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f510,f1314]) ).
fof(f1651,plain,
! [X0,X1] : join(meet(X0,X1),join(meet(X0,X1),complement(meet(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f442,f581]) ).
fof(f1652,plain,
! [X0,X1] : join(meet(X0,X1),top) = top,
inference(forward_demodulation,[status(thm)],[f30,f1651]) ).
fof(f1653,plain,
! [X0,X1] : join(top,meet(X0,X1)) = top,
inference(forward_demodulation,[status(thm)],[f19,f1652]) ).
fof(f1658,plain,
! [X0] : join(top,complement(X0)) = top,
inference(paramodulation,[status(thm)],[f1000,f1653]) ).
fof(f1678,plain,
! [X0] : meet(X0,zero) = complement(top),
inference(backward_demodulation,[status(thm)],[f1658,f843]) ).
fof(f1679,plain,
! [X0] : meet(X0,zero) = zero,
inference(forward_demodulation,[status(thm)],[f337,f1678]) ).
fof(f1695,plain,
! [X0] : X0 = join(meet(X0,top),zero),
inference(backward_demodulation,[status(thm)],[f1679,f353]) ).
fof(f1696,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f19,f1695]) ).
fof(f1711,plain,
! [X0] : meet(zero,X0) = zero,
inference(paramodulation,[status(thm)],[f510,f1679]) ).
fof(f1772,plain,
! [X0,X1] : meet(X0,X1) = join(meet(X0,X1),zero),
inference(backward_demodulation,[status(thm)],[f1711,f1315]) ).
fof(f1773,plain,
! [X0,X1] : meet(X0,X1) = join(zero,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f1772]) ).
fof(f1775,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(backward_demodulation,[status(thm)],[f1711,f1056]) ).
fof(f1776,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f1775]) ).
fof(f1796,plain,
! [X0] : X0 = meet(X0,top),
inference(backward_demodulation,[status(thm)],[f1773,f1696]) ).
fof(f1801,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f1776,f575]) ).
fof(f1805,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),complement(complement(meet(X0,X1))))),
inference(backward_demodulation,[status(thm)],[f1776,f686]) ).
fof(f1806,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f1801,f1805]) ).
fof(f1807,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f442,f1806]) ).
fof(f1991,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f1801,f1658]) ).
fof(f2025,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f326,f1991]) ).
fof(f2056,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f2025,f996]) ).
fof(f2057,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f337,f2056]) ).
fof(f2058,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f1773,f2057]) ).
fof(f2516,plain,
! [X0] : join(meet(X0,top),X0) = meet(X0,top),
inference(paramodulation,[status(thm)],[f1796,f442]) ).
fof(f2517,plain,
! [X0] : join(X0,meet(X0,top)) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f19,f2516]) ).
fof(f2518,plain,
! [X0] : join(X0,X0) = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f1796,f2517]) ).
fof(f2519,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1796,f2518]) ).
fof(f2557,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f2519,f20]) ).
fof(f2825,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1801,f1807]) ).
fof(f3371,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f111,f2557]) ).
fof(f3372,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f3371]) ).
fof(f3373,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f111,f3372]) ).
fof(f3441,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f510,f3373]) ).
fof(f3475,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f3441,f44]) ).
fof(f3476,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f3475]) ).
fof(f3987,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f2058,f3476]) ).
fof(f3988,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f3987]) ).
fof(f7377,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f2058,f2825]) ).
fof(f7378,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1801,f7377]) ).
fof(f7379,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f1801,f7378]) ).
fof(f7518,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f26,f7379]) ).
fof(f7519,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f3988,f7518]) ).
fof(f7849,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f1801,f7519]) ).
fof(f7938,plain,
complement(converse(sk0_0)) != complement(converse(sk0_0)),
inference(backward_demodulation,[status(thm)],[f7849,f37]) ).
fof(f7939,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f7938]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : REL004+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n013.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 09:57:20 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 1.56/0.62 % Refutation found
% 1.56/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.56/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.80/0.64 % Elapsed time: 0.324071 seconds
% 1.80/0.64 % CPU time: 1.831024 seconds
% 1.80/0.64 % Memory used: 35.513 MB
%------------------------------------------------------------------------------