%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL005+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n015.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 02:03:11 PM UTC 2026
% Result : Theorem 68.30s 14.05s
% Output : CNFRefutation 60.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 51
% Number of leaves : 12
% Syntax : Number of formulae : 148 ( 148 unt; 0 def)
% Number of atoms : 148 ( 147 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 9 ( 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 : 234 ( 232 !; 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(f14,conjecture,
! [X0,X1] : converse(meet(X0,X1)) = meet(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/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(thm)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(thm)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(thm)],[f13]) ).
fof(f29,plain,
? [X0,X1] : converse(meet(X0,X1)) != meet(converse(X0),converse(X1)),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
converse(meet(sK0_skl,sK1_skl)) != meet(converse(sK0_skl),converse(sK1_skl)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl)],[f29]) ).
fof(f31,plain,
converse(meet(sK0_skl,sK1_skl)) != meet(converse(sK0_skl),converse(sK1_skl)),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f38,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f39,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f38]) ).
fof(f40,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f39]) ).
fof(f44,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(f45,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f46,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f48,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f49,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f41]) ).
fof(f51,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f49]) ).
fof(f60,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),X1),X2)) = composition(converse(X2),join(X0,converse(X1))),
inference(paramodulation,[status(thm)],[f45,f25]) ).
fof(f140,plain,
! [X0,X1] : join(complement(X0),composition(X1,complement(composition(converse(X1),X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f23,f40]) ).
fof(f141,plain,
! [X0,X1] : join(complement(converse(X0)),composition(converse(converse(X1)),complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(paramodulation,[status(thm)],[f25,f40]) ).
fof(f148,plain,
! [X0,X1] : join(complement(converse(X0)),composition(X1,complement(converse(composition(X0,X1))))) = complement(converse(X0)),
inference(forward_demodulation,[status(thm)],[f23,f141]) ).
fof(f188,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f48]) ).
fof(f190,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f188]) ).
fof(f191,plain,
! [X0,X1] : top = join(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f27]) ).
fof(f192,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f45]) ).
fof(f193,plain,
! [X0,X1] : meet(X0,top) = complement(join(complement(X0),meet(X1,complement(X1)))),
inference(paramodulation,[status(thm)],[f27,f44]) ).
fof(f195,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f196,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f41]) ).
fof(f197,plain,
! [X0,X1] : top = join(complement(X0),join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f17,f191]) ).
fof(f198,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(forward_demodulation,[status(thm)],[f28,f193]) ).
fof(f199,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f198]) ).
fof(f202,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f195]) ).
fof(f203,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f196]) ).
fof(f204,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f202,f203]) ).
fof(f242,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f190]) ).
fof(f245,plain,
! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f190,f140]) ).
fof(f251,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f242,f190]) ).
fof(f256,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f251,f245]) ).
fof(f291,plain,
! [X0,X1] : join(meet(X0,X1),complement(join(complement(X0),complement(X1)))) = complement(join(complement(X0),complement(X1))),
inference(paramodulation,[status(thm)],[f19,f256]) ).
fof(f296,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f256,f19]) ).
fof(f297,plain,
! [X0] : X0 = join(meet(X0,complement(X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f256,f41]) ).
fof(f300,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = complement(join(complement(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f291]) ).
fof(f301,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,X1)) = meet(X0,X1),
inference(forward_demodulation,[status(thm)],[f19,f300]) ).
fof(f311,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f297]) ).
fof(f312,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f311]) ).
fof(f313,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f312]) ).
fof(f315,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(zero,complement(meet(X0,X1))),
inference(paramodulation,[status(thm)],[f19,f313]) ).
fof(f367,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f384,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f367]) ).
fof(f440,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f384,f51]) ).
fof(f441,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f384,f51]) ).
fof(f465,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f28,f440]) ).
fof(f469,plain,
! [X0] : complement(X0) = join(meet(complement(X0),X0),complement(complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f296,f440]) ).
fof(f482,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f16,f465]) ).
fof(f483,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f384,f482]) ).
fof(f485,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f491,f313]) ).
fof(f491,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f204,f483]) ).
fof(f493,plain,
! [X0] : complement(X0) = join(complement(complement(complement(X0))),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f16,f469]) ).
fof(f494,plain,
! [X0] : complement(X0) = join(complement(X0),meet(complement(X0),X0)),
inference(forward_demodulation,[status(thm)],[f491,f493]) ).
fof(f495,plain,
! [X0] : complement(X0) = join(complement(X0),meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f384,f494]) ).
fof(f496,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(forward_demodulation,[status(thm)],[f28,f495]) ).
fof(f497,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f503,f315]) ).
fof(f502,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f503,f199]) ).
fof(f503,plain,
! [X0] : complement(X0) = join(zero,complement(X0)),
inference(forward_demodulation,[status(thm)],[f16,f496]) ).
fof(f532,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f491,f502]) ).
fof(f622,plain,
! [X0] : meet(top,X0) = X0,
inference(paramodulation,[status(thm)],[f384,f532]) ).
fof(f808,plain,
! [X0,X1] : X0 = join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)),
inference(paramodulation,[status(thm)],[f197,f41]) ).
fof(f824,plain,
! [X0,X1] : X0 = join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f16,f808]) ).
fof(f825,plain,
! [X0,X1] : X0 = join(zero,meet(X0,join(complement(X1),meet(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f202,f824]) ).
fof(f826,plain,
! [X0,X1] : X0 = meet(X0,join(complement(X1),meet(X0,X1))),
inference(forward_demodulation,[status(thm)],[f485,f825]) ).
fof(f857,plain,
! [X0] : join(X0,meet(top,X0)) = meet(top,X0),
inference(paramodulation,[status(thm)],[f622,f301]) ).
fof(f870,plain,
! [X0] : join(X0,X0) = meet(top,X0),
inference(forward_demodulation,[status(thm)],[f622,f857]) ).
fof(f873,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f622,f870]) ).
fof(f900,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f873,f17]) ).
fof(f921,plain,
! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f440,f900]) ).
fof(f922,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f441,f900]) ).
fof(f929,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f27,f900]) ).
fof(f931,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f16,f900]) ).
fof(f955,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f16,f921]) ).
fof(f962,plain,
! [X0,X1] : join(X0,meet(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f440,f955]) ).
fof(f963,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f16,f922]) ).
fof(f965,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(forward_demodulation,[status(thm)],[f441,f963]) ).
fof(f974,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f929]) ).
fof(f993,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f974]) ).
fof(f1036,plain,
! [X0] : converse(top) = join(converse(top),X0),
inference(paramodulation,[status(thm)],[f993,f46]) ).
fof(f1159,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f993,f192]) ).
fof(f1178,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = join(converse(top),X1),
inference(paramodulation,[status(thm)],[f192,f17]) ).
fof(f1218,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = converse(top),
inference(forward_demodulation,[status(thm)],[f1036,f1178]) ).
fof(f1219,plain,
! [X0,X1] : join(X0,join(converse(complement(converse(X0))),X1)) = top,
inference(forward_demodulation,[status(thm)],[f1159,f1218]) ).
fof(f1438,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f491,f497]) ).
fof(f1441,plain,
! [X0,X1] : join(complement(X0),X1) = complement(meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f491,f497]) ).
fof(f1493,plain,
! [X0,X1] : complement(join(X0,complement(X1))) = meet(complement(X0),X1),
inference(paramodulation,[status(thm)],[f1438,f491]) ).
fof(f1696,plain,
! [X0,X1] : complement(join(complement(X0),X1)) = meet(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f1441,f491]) ).
fof(f1760,plain,
! [X0,X1] : complement(join(X0,X1)) = meet(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f491,f1493]) ).
fof(f1811,plain,
! [X0,X1] : X0 = meet(X0,join(X1,meet(X0,complement(X1)))),
inference(paramodulation,[status(thm)],[f491,f826]) ).
fof(f2597,plain,
! [X0,X1] : join(join(X0,meet(X1,complement(X0))),X1) = join(X0,meet(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f1811,f965]) ).
fof(f2630,plain,
! [X0,X1] : join(X0,join(meet(X1,complement(X0)),X1)) = join(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f17,f2597]) ).
fof(f2631,plain,
! [X0,X1] : join(X0,join(X1,meet(X1,complement(X0)))) = join(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f2630]) ).
fof(f2637,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(X1,complement(X0))),
inference(forward_demodulation,[status(thm)],[f962,f2631]) ).
fof(f2968,plain,
! [X0,X1,X2] : join(meet(X0,complement(X1)),composition(X2,complement(composition(converse(X2),join(complement(X0),X1))))) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1696,f140]) ).
fof(f3032,plain,
! [X0,X1,X2] : join(meet(X0,complement(X1)),composition(X2,complement(composition(converse(X2),join(complement(X0),X1))))) = meet(X0,complement(X1)),
inference(forward_demodulation,[status(thm)],[f1696,f2968]) ).
fof(f3056,plain,
! [X0,X1] : join(X0,complement(X1)) = join(X0,complement(join(X1,X0))),
inference(paramodulation,[status(thm)],[f1760,f2637]) ).
fof(f4581,plain,
! [X0] : join(X0,converse(complement(converse(X0)))) = top,
inference(paramodulation,[status(thm)],[f931,f1219]) ).
fof(f5800,plain,
! [X0] : join(converse(complement(converse(X0))),complement(X0)) = join(converse(complement(converse(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f4581,f3056]) ).
fof(f5922,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(converse(complement(converse(X0))),complement(top)),
inference(forward_demodulation,[status(thm)],[f16,f5800]) ).
fof(f5923,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(complement(top),converse(complement(converse(X0)))),
inference(forward_demodulation,[status(thm)],[f16,f5922]) ).
fof(f5924,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = join(zero,converse(complement(converse(X0)))),
inference(forward_demodulation,[status(thm)],[f202,f5923]) ).
fof(f5925,plain,
! [X0] : join(complement(X0),converse(complement(converse(X0)))) = converse(complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f485,f5924]) ).
fof(f31640,plain,
! [X0] : join(complement(converse(X0)),converse(complement(X0))) = converse(complement(converse(converse(X0)))),
inference(paramodulation,[status(thm)],[f23,f5925]) ).
fof(f31655,plain,
! [X0] : converse(converse(complement(converse(X0)))) = join(converse(complement(X0)),complement(converse(X0))),
inference(paramodulation,[status(thm)],[f5925,f46]) ).
fof(f31736,plain,
! [X0] : join(complement(converse(X0)),converse(complement(X0))) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f23,f31640]) ).
fof(f31758,plain,
! [X0] : complement(converse(X0)) = join(converse(complement(X0)),complement(converse(X0))),
inference(forward_demodulation,[status(thm)],[f23,f31655]) ).
fof(f31759,plain,
! [X0] : complement(converse(X0)) = join(complement(converse(X0)),converse(complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f31758]) ).
fof(f32215,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(forward_demodulation,[status(thm)],[f31736,f31759]) ).
fof(f34072,plain,
! [X0,X1] : complement(converse(join(complement(X0),X1))) = converse(meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f1696,f32215]) ).
fof(f34104,plain,
! [X0,X1,X2] : converse(composition(join(complement(converse(X0)),X1),X2)) = composition(converse(X2),join(complement(X0),converse(X1))),
inference(paramodulation,[status(thm)],[f32215,f60]) ).
fof(f34121,plain,
! [X0,X1] : converse(join(complement(converse(X0)),X1)) = join(complement(X0),converse(X1)),
inference(paramodulation,[status(thm)],[f32215,f45]) ).
fof(f36559,plain,
! [X0,X1,X2] : join(complement(join(complement(X0),converse(X1))),composition(X2,complement(converse(composition(join(complement(converse(X0)),X1),X2))))) = complement(converse(join(complement(converse(X0)),X1))),
inference(paramodulation,[status(thm)],[f34121,f148]) ).
fof(f36847,plain,
! [X0,X1,X2] : join(meet(X0,complement(converse(X1))),composition(X2,complement(converse(composition(join(complement(converse(X0)),X1),X2))))) = complement(converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f1696,f36559]) ).
fof(f36848,plain,
! [X0,X1,X2] : join(meet(X0,complement(converse(X1))),composition(X2,complement(composition(converse(X2),join(complement(X0),converse(X1)))))) = complement(converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f34104,f36847]) ).
fof(f36849,plain,
! [X0,X1] : meet(X0,complement(converse(X1))) = complement(converse(join(complement(converse(X0)),X1))),
inference(forward_demodulation,[status(thm)],[f3032,f36848]) ).
fof(f36850,plain,
! [X0,X1] : meet(X0,complement(converse(X1))) = converse(meet(converse(X0),complement(X1))),
inference(forward_demodulation,[status(thm)],[f34072,f36849]) ).
fof(f37949,plain,
! [X0,X1] : meet(X0,complement(converse(complement(X1)))) = converse(meet(converse(X0),X1)),
inference(paramodulation,[status(thm)],[f491,f36850]) ).
fof(f38058,plain,
! [X0,X1] : meet(X0,complement(complement(converse(X1)))) = converse(meet(converse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f32215,f37949]) ).
fof(f38067,plain,
! [X0,X1] : meet(X0,converse(X1)) = converse(meet(converse(X0),X1)),
inference(forward_demodulation,[status(thm)],[f491,f38058]) ).
fof(f38157,plain,
! [X0,X1] : meet(converse(X0),converse(X1)) = converse(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f23,f38067]) ).
fof(f38276,plain,
converse(meet(sK0_skl,sK1_skl)) != converse(meet(sK0_skl,sK1_skl)),
inference(backward_demodulation,[status(thm)],[f38157,f31]) ).
fof(f38355,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f38276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL005+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n015.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 04:00:56 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.39 % Drodi V4.1.1
% 68.30/14.05 % Refutation found
% 68.30/14.05 % SZS status Theorem for theBenchmark: Theorem is valid
% 68.30/14.05 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 24.30/14.21 % Elapsed time: 8.810061 seconds
% 24.30/14.21 % CPU time: 69.756369 seconds
% 24.30/14.21 % Total memory used: 630.189 MB
% 24.30/14.21 % Net memory used: 608.182 MB
%------------------------------------------------------------------------------