TSTP Solution File: REL004+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL004+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 0.16s 0.48s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 12
% Syntax : Number of formulae : 127 ( 127 unt; 0 def)
% Number of atoms : 127 ( 126 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 : 179 (; 178 !; 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(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(f112,plain,
! [X0,X1] : X0 = join(meet(X0,composition(converse(X1),complement(composition(X1,X0)))),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f39,f41]) ).
fof(f113,plain,
! [X0,X1] : X0 = join(complement(complement(X0)),meet(X0,composition(converse(X1),complement(composition(X1,X0))))),
inference(forward_demodulation,[status(thm)],[f19,f112]) ).
fof(f252,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f47]) ).
fof(f253,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f252]) ).
fof(f257,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f30]) ).
fof(f258,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f20,f257]) ).
fof(f259,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f30,f44]) ).
fof(f263,plain,
! [X0,X1] : meet(top,X0) = complement(join(meet(X1,complement(X1)),complement(X0))),
inference(paramodulation,[status(thm)],[f30,f42]) ).
fof(f264,plain,
! [X0] : meet(top,X0) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f31,f263]) ).
fof(f269,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f270,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f269]) ).
fof(f271,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f41]) ).
fof(f272,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f271]) ).
fof(f273,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f270,f272]) ).
fof(f341,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f253]) ).
fof(f346,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f253,f50]) ).
fof(f349,plain,
! [X0,X1] : join(meet(X0,X1),composition(converse(converse(one)),complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f253,f49]) ).
fof(f350,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,complement(join(complement(X0),complement(X1))))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f26,f349]) ).
fof(f351,plain,
! [X0,X1] : join(meet(X0,X1),composition(one,meet(X0,X1))) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f350]) ).
fof(f362,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,composition(converse(converse(one)),complement(X0)))),
inference(paramodulation,[status(thm)],[f253,f113]) ).
fof(f363,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,composition(one,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f362]) ).
fof(f366,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f341,f253]) ).
fof(f367,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(backward_demodulation,[status(thm)],[f366,f351]) ).
fof(f370,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(backward_demodulation,[status(thm)],[f366,f363]) ).
fof(f371,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f370]) ).
fof(f372,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f371]) ).
fof(f373,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f366,f346]) ).
fof(f450,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f451,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f450]) ).
fof(f481,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f451,f111]) ).
fof(f484,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f451,f111]) ).
fof(f512,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f373,f22]) ).
fof(f583,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f30,f20]) ).
fof(f720,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,f273]) ).
fof(f721,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,f720]) ).
fof(f746,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f259,f41]) ).
fof(f747,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f746]) ).
fof(f763,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,X0)) = meet(X1,X0),
inference(paramodulation,[status(thm)],[f451,f367]) ).
fof(f847,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f31,f481]) ).
fof(f848,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f19,f847]) ).
fof(f849,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f451,f848]) ).
fof(f850,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f273,f849]) ).
fof(f853,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f512,f481]) ).
fof(f854,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f19,f853]) ).
fof(f855,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f850,f854]) ).
fof(f856,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f451,f855]) ).
fof(f857,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f31,f856]) ).
fof(f858,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f857]) ).
fof(f870,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f850,f372]) ).
fof(f872,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f850,f721]) ).
fof(f873,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f858,f872]) ).
fof(f874,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f367,f873]) ).
fof(f908,plain,
! [X0] : meet(top,X0) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f858,f264]) ).
fof(f909,plain,
! [X0] : meet(top,X0) = X0,
inference(forward_demodulation,[status(thm)],[f850,f908]) ).
fof(f1041,plain,
! [X0] : meet(X0,top) = X0,
inference(paramodulation,[status(thm)],[f451,f909]) ).
fof(f1057,plain,
! [X0] : join(meet(X0,top),X0) = meet(top,X0),
inference(paramodulation,[status(thm)],[f909,f763]) ).
fof(f1058,plain,
! [X0] : join(X0,meet(X0,top)) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f19,f1057]) ).
fof(f1059,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f1041,f1058]) ).
fof(f1060,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f909,f1059]) ).
fof(f1102,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f1060,f20]) ).
fof(f1552,plain,
! [X0,X1] : join(X0,top) = join(top,join(complement(X1),meet(X0,X1))),
inference(paramodulation,[status(thm)],[f258,f583]) ).
fof(f1563,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(paramodulation,[status(thm)],[f259,f583]) ).
fof(f1568,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f1060,f583]) ).
fof(f1569,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f30,f1568]) ).
fof(f1608,plain,
! [X0] : top = join(top,X0),
inference(paramodulation,[status(thm)],[f850,f1569]) ).
fof(f1617,plain,
! [X0] : join(X0,converse(top)) = top,
inference(backward_demodulation,[status(thm)],[f1608,f1563]) ).
fof(f1618,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f1608,f1552]) ).
fof(f1660,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f1618,f44]) ).
fof(f1661,plain,
converse(top) = top,
inference(forward_demodulation,[status(thm)],[f1617,f1660]) ).
fof(f1694,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f1661,f747]) ).
fof(f1695,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f270,f1694]) ).
fof(f1696,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f870,f1695]) ).
fof(f2492,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f850,f874]) ).
fof(f2733,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f484,f1102]) ).
fof(f2734,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f2733]) ).
fof(f2735,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f484,f2734]) ).
fof(f2844,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f2735,f44]) ).
fof(f2845,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f2844]) ).
fof(f2865,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f1696,f2845]) ).
fof(f2866,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f2865]) ).
fof(f4208,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1696,f2492]) ).
fof(f4209,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f850,f4208]) ).
fof(f4210,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f850,f4209]) ).
fof(f4323,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f26,f4210]) ).
fof(f4324,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f2866,f4323]) ).
fof(f4435,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f850,f4324]) ).
fof(f4499,plain,
complement(converse(sk0_0)) != complement(converse(sk0_0)),
inference(backward_demodulation,[status(thm)],[f4435,f37]) ).
fof(f4500,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f4499]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : REL004+3 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n019.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 10:05:55 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.5.1
% 0.16/0.48 % Refutation found
% 0.16/0.48 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.48 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.51 % Elapsed time: 0.182758 seconds
% 0.16/0.51 % CPU time: 1.081418 seconds
% 0.16/0.51 % Memory used: 22.069 MB
%------------------------------------------------------------------------------