%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL012+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:03:15 PM UTC 2026
% Result : Theorem 10.07s 1.82s
% Output : CNFRefutation 7.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 43
% Number of leaves : 12
% Syntax : Number of formulae : 129 ( 129 unt; 0 def)
% Number of atoms : 129 ( 128 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 : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 5 con; 0-2 aty)
% Number of variables : 192 ( 190 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) = complement(X0),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f21,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f22,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f29,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f30,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f31,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f35,plain,
? [X0,X1] : join(composition(complement(composition(X0,X1)),converse(X1)),complement(X0)) != complement(X0),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f36,plain,
join(composition(complement(composition(sK0_skl,sK1_skl)),converse(sK1_skl)),complement(sK0_skl)) != complement(sK0_skl),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f35]) ).
fof(f37,plain,
join(composition(complement(composition(sK0_skl,sK1_skl)),converse(sK1_skl)),complement(sK0_skl)) != complement(sK0_skl),
inference(cnf_transformation,[status(thm)],[f36]) ).
fof(f45,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f46,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f45]) ).
fof(f47,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f48,plain,
join(complement(sK0_skl),composition(complement(composition(sK0_skl,sK1_skl)),converse(sK1_skl))) != complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f19,f37]) ).
fof(f49,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f46]) ).
fof(f61,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f67,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f61]) ).
fof(f69,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f72,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(f75,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f69]) ).
fof(f83,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f84,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f101,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f158,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f49]) ).
fof(f163,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f158]) ).
fof(f196,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f84]) ).
fof(f202,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f196]) ).
fof(f205,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f31]) ).
fof(f207,plain,
! [X0,X1] : zero = meet(meet(X0,X1),join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f75,f205]) ).
fof(f208,plain,
! [X0,X1] : zero = complement(join(complement(meet(X0,X1)),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f72,f207]) ).
fof(f209,plain,
! [X0,X1] : zero = complement(join(meet(X0,X1),complement(meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f19,f208]) ).
fof(f210,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f30,f209]) ).
fof(f215,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f210,f22]) ).
fof(f218,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f215]) ).
fof(f221,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f202]) ).
fof(f222,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f202,f47]) ).
fof(f231,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f221,f202]) ).
fof(f239,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f231,f222]) ).
fof(f273,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f30,f101]) ).
fof(f276,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f49]) ).
fof(f280,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f276]) ).
fof(f281,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f210,f280]) ).
fof(f284,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f22,f239]) ).
fof(f287,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f239,f22]) ).
fof(f288,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f239,f49]) ).
fof(f292,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f22,f284]) ).
fof(f293,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f22,f292]) ).
fof(f302,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f288]) ).
fof(f303,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f31,f302]) ).
fof(f304,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f19,f303]) ).
fof(f599,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(join(complement(X0),complement(X1)),complement(meet(X0,X1)))),
inference(paramodulation,[status(thm)],[f22,f281]) ).
fof(f605,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,meet(complement(meet(X0,X1)),join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f75,f599]) ).
fof(f606,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(complement(complement(meet(X0,X1))),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f72,f605]) ).
fof(f607,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)],[f19,f606]) ).
fof(f612,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f75,f163]) ).
fof(f616,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f75,f163]) ).
fof(f644,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f75,f612]) ).
fof(f726,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f31,f616]) ).
fof(f727,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f287,f616]) ).
fof(f743,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f19,f726]) ).
fof(f744,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f75,f743]) ).
fof(f746,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f759,f304]) ).
fof(f748,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(join(meet(X0,X1),meet(X0,X1)))),
inference(backward_demodulation,[status(thm)],[f759,f607]) ).
fof(f759,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f281,f744]) ).
fof(f760,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f19,f727]) ).
fof(f761,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f759,f760]) ).
fof(f762,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f75,f761]) ).
fof(f763,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f31,f762]) ).
fof(f767,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f768,f218]) ).
fof(f768,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f763]) ).
fof(f784,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(join(meet(X0,X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f768,f748]) ).
fof(f793,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f293,f784]) ).
fof(f811,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f759,f767]) ).
fof(f830,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f759,f47]) ).
fof(f839,plain,
! [X0,X1] : join(X0,composition(converse(X1),complement(composition(X1,complement(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f759,f830]) ).
fof(f856,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f75,f811]) ).
fof(f1332,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f856,f293]) ).
fof(f1349,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f856,f1332]) ).
fof(f1353,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f856,f1349]) ).
fof(f1390,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f1353,f67]) ).
fof(f1431,plain,
! [X0] : X0 = join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))),
inference(paramodulation,[status(thm)],[f273,f49]) ).
fof(f1451,plain,
! [X0] : X0 = join(complement(converse(top)),meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f19,f1431]) ).
fof(f1464,plain,
! [X0,X1] : join(meet(complement(X0),X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f644,f1390]) ).
fof(f1501,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f19,f1464]) ).
fof(f1502,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f644,f1501]) ).
fof(f1571,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f759,f1502]) ).
fof(f1596,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f811,f1571]) ).
fof(f1602,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(meet(X1,converse(X0)))),
inference(paramodulation,[status(thm)],[f1571,f101]) ).
fof(f1623,plain,
! [X0,X1] : X0 = join(X0,converse(meet(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f26,f1602]) ).
fof(f2210,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f273,f1596]) ).
fof(f2250,plain,
! [X0] : X0 = join(complement(top),meet(X0,converse(complement(converse(complement(X0)))))),
inference(backward_demodulation,[status(thm)],[f2210,f1451]) ).
fof(f2290,plain,
! [X0] : X0 = join(zero,meet(X0,converse(complement(converse(complement(X0)))))),
inference(forward_demodulation,[status(thm)],[f210,f2250]) ).
fof(f2292,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f746,f2290]) ).
fof(f2450,plain,
! [X0] : complement(converse(complement(X0))) = join(complement(converse(complement(X0))),converse(X0)),
inference(paramodulation,[status(thm)],[f2292,f1623]) ).
fof(f2485,plain,
! [X0] : complement(converse(complement(X0))) = join(converse(X0),complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f2450]) ).
fof(f2672,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f759,f793]) ).
fof(f2929,plain,
! [X0] : join(X0,complement(converse(complement(converse(complement(complement(X0))))))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f2292,f2672]) ).
fof(f2956,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f759,f2929]) ).
fof(f2957,plain,
! [X0] : join(X0,complement(converse(complement(converse(X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f759,f2956]) ).
fof(f3010,plain,
! [X0] : join(converse(X0),complement(converse(complement(X0)))) = converse(X0),
inference(paramodulation,[status(thm)],[f26,f2957]) ).
fof(f3050,plain,
! [X0] : complement(converse(complement(X0))) = converse(X0),
inference(forward_demodulation,[status(thm)],[f2485,f3010]) ).
fof(f3121,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f759,f3050]) ).
fof(f3198,plain,
! [X0,X1] : converse(composition(X0,complement(converse(X1)))) = composition(complement(X1),converse(X0)),
inference(paramodulation,[status(thm)],[f3121,f83]) ).
fof(f3203,plain,
! [X0,X1] : converse(composition(complement(X0),X1)) = composition(converse(X1),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f3121,f28]) ).
fof(f3653,plain,
! [X0,X1] : join(X0,composition(X1,complement(composition(converse(X1),complement(X0))))) = X0,
inference(paramodulation,[status(thm)],[f26,f839]) ).
fof(f3726,plain,
! [X0,X1] : converse(converse(X0)) = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(paramodulation,[status(thm)],[f3653,f101]) ).
fof(f3751,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(composition(converse(X1),complement(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f26,f3726]) ).
fof(f3752,plain,
! [X0,X1] : X0 = join(X0,converse(composition(X1,complement(converse(composition(complement(X0),X1)))))),
inference(forward_demodulation,[status(thm)],[f3203,f3751]) ).
fof(f3753,plain,
! [X0,X1] : X0 = join(X0,composition(complement(composition(complement(X0),X1)),converse(X1))),
inference(forward_demodulation,[status(thm)],[f3198,f3752]) ).
fof(f4185,plain,
! [X0,X1] : complement(X0) = join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))),
inference(paramodulation,[status(thm)],[f759,f3753]) ).
fof(f4219,plain,
complement(sK0_skl) != complement(sK0_skl),
inference(backward_demodulation,[status(thm)],[f4185,f48]) ).
fof(f4233,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f4219]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.40 % Computer : n019.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 21 03:58:49 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.42 % Drodi V4.1.1
% 10.07/1.82 % Refutation found
% 10.07/1.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 10.07/1.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 7.50/1.88 % Elapsed time: 1.458658 seconds
% 7.50/1.88 % CPU time: 11.077540 seconds
% 7.50/1.88 % Total memory used: 134.112 MB
% 7.50/1.88 % Net memory used: 130.968 MB
%------------------------------------------------------------------------------