%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL018+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 : n016.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 02:03:17 PM UTC 2026
% Result : Theorem 15.09s 2.36s
% Output : CNFRefutation 15.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 16
% Syntax : Number of formulae : 160 ( 156 unt; 2 def)
% Number of atoms : 164 ( 163 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 0 |; 2 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 181 ( 180 !; 1 ?)
% 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(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
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] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] :
( composition(X0,top) = X0
=> composition(complement(X0),top) = complement(X0) ),
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(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
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] :
( composition(complement(X0),top) != complement(X0)
& composition(X0,top) = X0 ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f30,plain,
( composition(complement(sK0_skl),top) != complement(sK0_skl)
& composition(sK0_skl,top) = sK0_skl ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f29]) ).
fof(f31,plain,
composition(sK0_skl,top) = sK0_skl,
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f32,plain,
composition(complement(sK0_skl),top) != complement(sK0_skl),
inference(cnf_transformation,[status(thm)],[f30]) ).
fof(f33,definition,
sF1_fnc = complement(sK0_skl),
introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition]) ).
fof(f34,definition,
sF0_fnc = composition(sF1_fnc,top),
introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition]) ).
fof(f35,plain,
sF0_fnc != sF1_fnc,
inference(definition_folding,[],[f32,f34,f33]) ).
fof(f36,plain,
top = join(sK0_skl,sF1_fnc),
inference(paramodulation,[status(thm)],[f33,f27]) ).
fof(f37,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = join(complement(X0),complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),
inference(paramodulation,[status(thm)],[f18,f18]) ).
fof(f42,plain,
! [X0] : X0 = join(complement(join(complement(X0),complement(complement(complement(X0))))),complement(top)),
inference(paramodulation,[status(thm)],[f27,f18]) ).
fof(f61,plain,
! [X0] : composition(join(sK0_skl,X0),top) = join(sK0_skl,composition(X0,top)),
inference(paramodulation,[status(thm)],[f31,f22]) ).
fof(f64,plain,
! [X0] : composition(join(X0,sF1_fnc),top) = join(composition(X0,top),sF0_fnc),
inference(paramodulation,[status(thm)],[f34,f22]) ).
fof(f66,plain,
! [X0] : composition(join(X0,sK0_skl),top) = join(composition(X0,top),sK0_skl),
inference(paramodulation,[status(thm)],[f31,f22]) ).
fof(f91,plain,
composition(join(sK0_skl,sF1_fnc),top) = join(sK0_skl,sF0_fnc),
inference(paramodulation,[status(thm)],[f34,f61]) ).
fof(f93,plain,
composition(top,top) = join(sK0_skl,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f36,f91]) ).
fof(f109,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))))),complement(join(complement(X0),complement(X1)))),
inference(paramodulation,[status(thm)],[f37,f18]) ).
fof(f143,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f151,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(paramodulation,[status(thm)],[f18,f16]) ).
fof(f166,plain,
! [X0,X1] : X0 = join(complement(join(complement(X1),complement(X0))),complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f168,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f18]) ).
fof(f210,plain,
! [X0,X1] : join(X0,join(X1,complement(join(X0,X1)))) = top,
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f226,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f234,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f17,f226]) ).
fof(f238,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f19,f18]) ).
fof(f241,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f242,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f244,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f248,plain,
! [X0,X1] : zero = meet(join(complement(X0),complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f28]) ).
fof(f253,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f241]) ).
fof(f254,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f242]) ).
fof(f279,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f288,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f294,plain,
! [X0,X1] : join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)) = complement(X1),
inference(paramodulation,[status(thm)],[f23,f26]) ).
fof(f301,plain,
join(composition(converse(sK0_skl),complement(sK0_skl)),complement(top)) = complement(top),
inference(paramodulation,[status(thm)],[f31,f26]) ).
fof(f315,plain,
join(composition(converse(sK0_skl),sF1_fnc),complement(top)) = complement(top),
inference(forward_demodulation,[status(thm)],[f33,f301]) ).
fof(f316,plain,
join(composition(converse(sK0_skl),sF1_fnc),zero) = complement(top),
inference(forward_demodulation,[status(thm)],[f253,f315]) ).
fof(f317,plain,
join(composition(converse(sK0_skl),sF1_fnc),zero) = zero,
inference(forward_demodulation,[status(thm)],[f253,f316]) ).
fof(f475,plain,
! [X0] : join(X0,join(complement(X0),complement(top))) = top,
inference(paramodulation,[status(thm)],[f27,f210]) ).
fof(f495,plain,
! [X0] : join(X0,join(complement(X0),zero)) = top,
inference(forward_demodulation,[status(thm)],[f253,f475]) ).
fof(f513,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f238]) ).
fof(f686,plain,
! [X0] : join(X0,join(zero,complement(X0))) = top,
inference(paramodulation,[status(thm)],[f16,f495]) ).
fof(f772,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f773,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),zero),
inference(forward_demodulation,[status(thm)],[f253,f772]) ).
fof(f774,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f16,f773]) ).
fof(f1080,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f16,f513]) ).
fof(f1083,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f254,f513]) ).
fof(f1157,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f151]) ).
fof(f1278,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f254,f1080]) ).
fof(f1307,plain,
! [X0,X1] : X0 = join(meet(complement(X1),X0),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f254,f1083]) ).
fof(f1357,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f166]) ).
fof(f1388,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f168]) ).
fof(f1497,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f254,f1278]) ).
fof(f1621,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(paramodulation,[status(thm)],[f28,f1307]) ).
fof(f1646,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f774,f1621]) ).
fof(f1654,plain,
complement(zero) = top,
inference(paramodulation,[status(thm)],[f253,f1646]) ).
fof(f1658,plain,
complement(sF1_fnc) = sK0_skl,
inference(paramodulation,[status(thm)],[f33,f1646]) ).
fof(f1681,plain,
! [X0] : zero = meet(complement(X0),X0),
inference(paramodulation,[status(thm)],[f1646,f28]) ).
fof(f1968,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,complement(complement(X0))))),
inference(paramodulation,[status(thm)],[f1681,f1388]) ).
fof(f2015,plain,
! [X0] : complement(X0) = join(zero,complement(join(X0,X0))),
inference(forward_demodulation,[status(thm)],[f1646,f1968]) ).
fof(f4345,plain,
! [X0] : join(join(X0,X0),complement(X0)) = top,
inference(paramodulation,[status(thm)],[f2015,f686]) ).
fof(f4360,plain,
! [X0] : join(X0,join(X0,complement(X0))) = top,
inference(forward_demodulation,[status(thm)],[f17,f4345]) ).
fof(f4361,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f27,f4360]) ).
fof(f4377,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f16,f4361]) ).
fof(f4390,plain,
! [X0] : X0 = join(meet(top,X0),complement(top)),
inference(paramodulation,[status(thm)],[f4361,f1357]) ).
fof(f4394,plain,
complement(top) = join(zero,complement(top)),
inference(paramodulation,[status(thm)],[f4361,f2015]) ).
fof(f4417,plain,
! [X0] : X0 = join(meet(top,X0),zero),
inference(forward_demodulation,[status(thm)],[f253,f4390]) ).
fof(f4423,plain,
zero = join(zero,complement(top)),
inference(forward_demodulation,[status(thm)],[f253,f4394]) ).
fof(f4424,plain,
zero = join(zero,zero),
inference(forward_demodulation,[status(thm)],[f253,f4423]) ).
fof(f4506,plain,
! [X0] : zero = meet(join(top,complement(X0)),meet(zero,X0)),
inference(paramodulation,[status(thm)],[f1654,f248]) ).
fof(f4566,plain,
! [X0] : zero = meet(top,meet(zero,X0)),
inference(forward_demodulation,[status(thm)],[f4377,f4506]) ).
fof(f4791,plain,
! [X0] : X0 = join(zero,meet(top,X0)),
inference(paramodulation,[status(thm)],[f16,f4417]) ).
fof(f5081,plain,
! [X0] : meet(zero,X0) = join(zero,zero),
inference(paramodulation,[status(thm)],[f4566,f4791]) ).
fof(f5105,plain,
! [X0] : meet(zero,X0) = zero,
inference(forward_demodulation,[status(thm)],[f4424,f5081]) ).
fof(f5148,plain,
! [X0] : meet(X0,zero) = zero,
inference(paramodulation,[status(thm)],[f254,f5105]) ).
fof(f5487,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f288]) ).
fof(f5520,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f5487]) ).
fof(f6019,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f143,f5520]) ).
fof(f6054,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f5520,f6019]) ).
fof(f6097,plain,
composition(join(one,sK0_skl),top) = join(top,sK0_skl),
inference(paramodulation,[status(thm)],[f6054,f66]) ).
fof(f6111,plain,
! [X0] : join(composition(converse(one),complement(X0)),complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f6054,f26]) ).
fof(f6124,plain,
composition(join(one,sK0_skl),top) = top,
inference(forward_demodulation,[status(thm)],[f4377,f6097]) ).
fof(f6132,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f5520,f6111]) ).
fof(f7166,plain,
! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1646,f6132]) ).
fof(f7192,plain,
! [X0] : X0 = join(meet(complement(X0),X0),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f6132,f1357]) ).
fof(f7193,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f6132,f1157]) ).
fof(f7210,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f1646,f7166]) ).
fof(f7211,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f1646,f7210]) ).
fof(f7257,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f1681,f7192]) ).
fof(f7258,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f1646,f7257]) ).
fof(f7259,plain,
! [X0] : X0 = join(X0,meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f1646,f7193]) ).
fof(f7260,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f28,f7259]) ).
fof(f7279,plain,
! [X0,X1] : join(X0,join(join(X0,X1),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f234,f7211]) ).
fof(f7318,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f7211,f234]) ).
fof(f7324,plain,
! [X0,X1] : join(X0,join(X0,join(X1,X1))) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f17,f7279]) ).
fof(f7325,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(forward_demodulation,[status(thm)],[f7211,f7324]) ).
fof(f7863,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(paramodulation,[status(thm)],[f7258,f279]) ).
fof(f7895,plain,
! [X0] : X0 = join(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f23,f7863]) ).
fof(f7909,plain,
composition(converse(sK0_skl),sF1_fnc) = zero,
inference(backward_demodulation,[status(thm)],[f7260,f317]) ).
fof(f8035,plain,
converse(zero) = composition(converse(sF1_fnc),sK0_skl),
inference(paramodulation,[status(thm)],[f7909,f288]) ).
fof(f8436,plain,
composition(join(join(one,sK0_skl),sF1_fnc),top) = join(top,sF0_fnc),
inference(paramodulation,[status(thm)],[f6124,f64]) ).
fof(f8460,plain,
composition(join(one,join(sK0_skl,sF1_fnc)),top) = join(top,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f17,f8436]) ).
fof(f8461,plain,
composition(join(one,top),top) = join(top,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f36,f8460]) ).
fof(f8462,plain,
composition(top,top) = join(top,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f4361,f8461]) ).
fof(f8463,plain,
composition(top,top) = top,
inference(forward_demodulation,[status(thm)],[f4377,f8462]) ).
fof(f8508,plain,
top = join(sK0_skl,sF0_fnc),
inference(backward_demodulation,[status(thm)],[f8463,f93]) ).
fof(f8742,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f7260,f7895]) ).
fof(f11380,plain,
! [X0,X1] : join(meet(X0,X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f1497,f7325]) ).
fof(f11518,plain,
! [X0,X1] : join(meet(X0,X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1497,f11380]) ).
fof(f12252,plain,
! [X0,X1] : meet(join(complement(X0),complement(complement(X1))),X1) = complement(complement(X1)),
inference(paramodulation,[status(thm)],[f11518,f244]) ).
fof(f12284,plain,
! [X0,X1] : meet(join(complement(X0),X1),X1) = complement(complement(X1)),
inference(forward_demodulation,[status(thm)],[f1646,f12252]) ).
fof(f12285,plain,
! [X0,X1] : meet(join(complement(X0),X1),X1) = X1,
inference(forward_demodulation,[status(thm)],[f1646,f12284]) ).
fof(f12519,plain,
! [X0,X1] : X0 = join(meet(X0,complement(join(complement(join(complement(X0),complement(X1))),join(complement(X0),X1)))),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f109]) ).
fof(f12520,plain,
! [X0,X1] : X0 = join(meet(X0,complement(join(meet(X0,X1),join(complement(X0),X1)))),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f12519]) ).
fof(f12521,plain,
! [X0,X1] : X0 = join(meet(X0,complement(join(meet(X0,X1),join(complement(X0),X1)))),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f12520]) ).
fof(f12816,plain,
! [X0,X1] : meet(join(X0,X1),X1) = X1,
inference(paramodulation,[status(thm)],[f1646,f12285]) ).
fof(f12991,plain,
! [X0,X1] : meet(join(X0,X1),X0) = X0,
inference(paramodulation,[status(thm)],[f16,f12816]) ).
fof(f28151,plain,
zero = composition(converse(sF1_fnc),sK0_skl),
inference(forward_demodulation,[status(thm)],[f8742,f8035]) ).
fof(f28152,plain,
join(composition(sF1_fnc,complement(zero)),complement(sK0_skl)) = complement(sK0_skl),
inference(paramodulation,[status(thm)],[f28151,f294]) ).
fof(f28173,plain,
join(composition(sF1_fnc,top),complement(sK0_skl)) = complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f1654,f28152]) ).
fof(f28174,plain,
join(sF0_fnc,complement(sK0_skl)) = complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f34,f28173]) ).
fof(f28175,plain,
join(sF0_fnc,sF1_fnc) = complement(sK0_skl),
inference(forward_demodulation,[status(thm)],[f33,f28174]) ).
fof(f28176,plain,
join(sF0_fnc,sF1_fnc) = sF1_fnc,
inference(forward_demodulation,[status(thm)],[f33,f28175]) ).
fof(f28243,plain,
meet(sF1_fnc,sF0_fnc) = sF0_fnc,
inference(paramodulation,[status(thm)],[f28176,f12991]) ).
fof(f28753,plain,
sF1_fnc = join(meet(sF1_fnc,complement(join(meet(sF1_fnc,sF0_fnc),join(complement(sF1_fnc),sF0_fnc)))),sF0_fnc),
inference(paramodulation,[status(thm)],[f28243,f12521]) ).
fof(f28817,plain,
sF1_fnc = join(meet(sF1_fnc,complement(join(sF0_fnc,join(complement(sF1_fnc),sF0_fnc)))),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f28243,f28753]) ).
fof(f28818,plain,
sF1_fnc = join(meet(sF1_fnc,complement(join(complement(sF1_fnc),sF0_fnc))),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f7318,f28817]) ).
fof(f28819,plain,
sF1_fnc = join(meet(sF1_fnc,complement(join(sK0_skl,sF0_fnc))),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f1658,f28818]) ).
fof(f28820,plain,
sF1_fnc = join(meet(sF1_fnc,complement(top)),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f8508,f28819]) ).
fof(f28821,plain,
sF1_fnc = join(meet(sF1_fnc,zero),sF0_fnc),
inference(forward_demodulation,[status(thm)],[f253,f28820]) ).
fof(f28822,plain,
sF1_fnc = join(zero,sF0_fnc),
inference(forward_demodulation,[status(thm)],[f5148,f28821]) ).
fof(f28823,plain,
sF1_fnc = sF0_fnc,
inference(forward_demodulation,[status(thm)],[f7258,f28822]) ).
fof(f28824,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f28823,f35]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL018+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.37 % Computer : n016.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 21 04:04:55 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 % Drodi V4.1.1
% 15.09/2.36 % Refutation found
% 15.09/2.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 15.09/2.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.74/2.42 % Elapsed time: 2.028107 seconds
% 0.74/2.42 % CPU time: 15.786318 seconds
% 0.74/2.42 % Total memory used: 157.645 MB
% 0.74/2.42 % Net memory used: 153.720 MB
%------------------------------------------------------------------------------