%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL043-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n007.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 02:03:27 PM UTC 2026
% Result : Unsatisfiable 20.56s 3.10s
% Output : CNFRefutation 20.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 15
% Syntax : Number of formulae : 147 ( 147 unt; 0 def)
% Number of atoms : 147 ( 146 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 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 : 200 ( 200 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [A,B,C] : join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(composition(sk1,converse(sk2)),sk3) = sk3,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
join(composition(complement(sk3),sk2),complement(sk1)) != complement(sk1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
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(f32,plain,
! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f35,plain,
join(composition(sk1,converse(sk2)),sk3) = sk3,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
join(composition(complement(sk3),sk2),complement(sk1)) != complement(sk1),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f43,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f42]) ).
fof(f44,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f45,plain,
join(sk3,composition(sk1,converse(sk2))) = sk3,
inference(forward_demodulation,[status(thm)],[f19,f35]) ).
fof(f46,plain,
join(complement(sk1),composition(complement(sk3),sk2)) != complement(sk1),
inference(forward_demodulation,[status(thm)],[f19,f36]) ).
fof(f47,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f43]) ).
fof(f56,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f62,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f56]) ).
fof(f66,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f70,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f76,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f70]) ).
fof(f83,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f100,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f223,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f47]) ).
fof(f228,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f223]) ).
fof(f230,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f62,f228]) ).
fof(f232,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f62,f228]) ).
fof(f240,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f62,f230]) ).
fof(f302,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f83]) ).
fof(f308,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f302]) ).
fof(f312,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f308]) ).
fof(f313,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f308,f44]) ).
fof(f320,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f308,f25]) ).
fof(f322,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f312,f308]) ).
fof(f329,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f312,f320]) ).
fof(f330,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f322,f313]) ).
fof(f345,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(paramodulation,[status(thm)],[f312,f100]) ).
fof(f364,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f30,f22]) ).
fof(f365,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f30,f47]) ).
fof(f368,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f31,f364]) ).
fof(f369,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f365]) ).
fof(f370,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f368,f369]) ).
fof(f372,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f368,f44]) ).
fof(f380,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f368,f372]) ).
fof(f386,plain,
! [X0] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),zero),
inference(paramodulation,[status(thm)],[f31,f240]) ).
fof(f388,plain,
! [X0] : X0 = join(meet(X0,X0),zero),
inference(paramodulation,[status(thm)],[f31,f230]) ).
fof(f396,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f19,f386]) ).
fof(f399,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f370,f396]) ).
fof(f403,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f19,f388]) ).
fof(f408,plain,
complement(zero) = top,
inference(paramodulation,[status(thm)],[f368,f399]) ).
fof(f409,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f22,f399]) ).
fof(f418,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f399,f22]) ).
fof(f419,plain,
! [X0,X1] : meet(complement(X0),X1) = complement(join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f399,f22]) ).
fof(f422,plain,
! [X0] : complement(meet(X0,X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f409,f330]) ).
fof(f472,plain,
! [X0] : complement(complement(X0)) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f422,f399]) ).
fof(f481,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f483,f403]) ).
fof(f483,plain,
! [X0] : X0 = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f399,f472]) ).
fof(f504,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(backward_demodulation,[status(thm)],[f481,f380]) ).
fof(f512,plain,
! [X0] : X0 = join(X0,meet(complement(X0),X0)),
inference(paramodulation,[status(thm)],[f483,f240]) ).
fof(f530,plain,
! [X0] : X0 = join(X0,meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f62,f512]) ).
fof(f532,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f31,f530]) ).
fof(f551,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(zero)),
inference(paramodulation,[status(thm)],[f532,f100]) ).
fof(f558,plain,
! [X0] : X0 = join(X0,converse(zero)),
inference(forward_demodulation,[status(thm)],[f26,f551]) ).
fof(f559,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f481,f558]) ).
fof(f1361,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f66,f76]) ).
fof(f1401,plain,
! [X0,X1] : join(X0,top) = join(X1,join(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f30,f76]) ).
fof(f1818,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X1),complement(X0)),
inference(paramodulation,[status(thm)],[f19,f409]) ).
fof(f1820,plain,
! [X0] : complement(meet(zero,X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f408,f409]) ).
fof(f1821,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f399,f409]) ).
fof(f1824,plain,
! [X0,X1] : complement(meet(X0,complement(X1))) = join(complement(X0),X1),
inference(paramodulation,[status(thm)],[f399,f409]) ).
fof(f1825,plain,
! [X0] : complement(meet(X0,top)) = join(complement(X0),zero),
inference(paramodulation,[status(thm)],[f368,f409]) ).
fof(f1837,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f409,f1818]) ).
fof(f1841,plain,
! [X0] : complement(meet(X0,top)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f532,f1825]) ).
fof(f1859,plain,
! [X0] : complement(complement(X0)) = meet(X0,top),
inference(paramodulation,[status(thm)],[f1841,f399]) ).
fof(f1886,plain,
! [X0] : X0 = meet(X0,top),
inference(forward_demodulation,[status(thm)],[f399,f1859]) ).
fof(f2077,plain,
! [X0,X1] : top = join(meet(X0,X1),complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f1837,f30]) ).
fof(f2170,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(top,X0)),
inference(paramodulation,[status(thm)],[f408,f418]) ).
fof(f2171,plain,
! [X0,X1] : meet(complement(X0),complement(X1)) = complement(join(X0,X1)),
inference(paramodulation,[status(thm)],[f399,f418]) ).
fof(f2319,plain,
! [X0] : composition(join(one,converse(X0)),complement(composition(join(one,X0),top))) = zero,
inference(paramodulation,[status(thm)],[f345,f504]) ).
fof(f2340,plain,
! [X0] : composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f329,f2319]) ).
fof(f2341,plain,
! [X0] : composition(join(one,converse(X0)),meet(zero,complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f2170,f2340]) ).
fof(f3593,plain,
! [X0] : zero = meet(meet(zero,X0),join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f1820,f31]) ).
fof(f3861,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f483,f1821]) ).
fof(f3900,plain,
! [X0] : X0 = join(X0,complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f399,f3861]) ).
fof(f3911,plain,
! [X0] : X0 = join(X0,X0),
inference(forward_demodulation,[status(thm)],[f399,f3900]) ).
fof(f3981,plain,
! [X0] : join(complement(X0),top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f3911,f1401]) ).
fof(f3983,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f3911,f76]) ).
fof(f4018,plain,
! [X0] : join(top,complement(X0)) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f3981]) ).
fof(f4027,plain,
! [X0] : zero = meet(meet(zero,X0),top),
inference(backward_demodulation,[status(thm)],[f4031,f3593]) ).
fof(f4031,plain,
! [X0] : join(top,complement(X0)) = top,
inference(forward_demodulation,[status(thm)],[f30,f4018]) ).
fof(f4066,plain,
! [X0] : composition(join(one,converse(X0)),zero) = zero,
inference(backward_demodulation,[status(thm)],[f4106,f2341]) ).
fof(f4106,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1886,f4027]) ).
fof(f4117,plain,
! [X0] : join(zero,composition(converse(X0),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f329,f4066]) ).
fof(f4125,plain,
! [X0] : composition(converse(X0),zero) = zero,
inference(forward_demodulation,[status(thm)],[f481,f4117]) ).
fof(f4476,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(paramodulation,[status(thm)],[f4125,f83]) ).
fof(f4519,plain,
! [X0] : zero = composition(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f559,f4476]) ).
fof(f4538,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[status(thm)],[f559,f4519]) ).
fof(f4720,plain,
! [X0,X1] : join(meet(complement(X0),X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f240,f3983]) ).
fof(f4783,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f19,f4720]) ).
fof(f4784,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f240,f4783]) ).
fof(f4889,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f399,f4784]) ).
fof(f4948,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f4889,f76]) ).
fof(f6505,plain,
! [X0,X1] : top = join(meet(X0,complement(X1)),join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f1821,f2077]) ).
fof(f6559,plain,
! [X0,X1] : top = join(X0,join(meet(X1,complement(X0)),complement(X1))),
inference(forward_demodulation,[status(thm)],[f76,f6505]) ).
fof(f6560,plain,
! [X0,X1] : top = join(X0,join(complement(X1),meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1361,f6559]) ).
fof(f7947,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X0,X1),complement(X0)),
inference(paramodulation,[status(thm)],[f230,f4948]) ).
fof(f8022,plain,
! [X0,X1] : top = join(X0,join(complement(X1),complement(X0))),
inference(backward_demodulation,[status(thm)],[f8023,f6560]) ).
fof(f8023,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f7947]) ).
fof(f8082,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f409,f8022]) ).
fof(f8120,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = complement(top),
inference(paramodulation,[status(thm)],[f8082,f419]) ).
fof(f8168,plain,
! [X0,X1] : meet(complement(X0),meet(X1,X0)) = zero,
inference(forward_demodulation,[status(thm)],[f368,f8120]) ).
fof(f8191,plain,
! [X0,X1] : meet(complement(complement(X0)),complement(join(X1,X0))) = zero,
inference(paramodulation,[status(thm)],[f2171,f8168]) ).
fof(f8227,plain,
! [X0,X1] : complement(join(complement(X0),join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f2171,f8191]) ).
fof(f8228,plain,
! [X0,X1] : meet(X0,complement(join(X1,X0))) = zero,
inference(forward_demodulation,[status(thm)],[f418,f8227]) ).
fof(f8926,plain,
meet(composition(sk1,converse(sk2)),complement(sk3)) = zero,
inference(paramodulation,[status(thm)],[f45,f8228]) ).
fof(f9012,plain,
meet(complement(sk3),composition(sk1,converse(sk2))) = zero,
inference(forward_demodulation,[status(thm)],[f62,f8926]) ).
fof(f9961,plain,
join(meet(composition(complement(sk3),sk2),sk1),composition(zero,meet(sk2,composition(converse(complement(sk3)),sk1)))) = composition(meet(complement(sk3),composition(sk1,converse(sk2))),meet(sk2,composition(converse(complement(sk3)),sk1))),
inference(paramodulation,[status(thm)],[f9012,f32]) ).
fof(f9984,plain,
join(meet(sk1,composition(complement(sk3),sk2)),composition(zero,meet(sk2,composition(converse(complement(sk3)),sk1)))) = composition(meet(complement(sk3),composition(sk1,converse(sk2))),meet(sk2,composition(converse(complement(sk3)),sk1))),
inference(forward_demodulation,[status(thm)],[f62,f9961]) ).
fof(f9985,plain,
join(meet(sk1,composition(complement(sk3),sk2)),zero) = composition(meet(complement(sk3),composition(sk1,converse(sk2))),meet(sk2,composition(converse(complement(sk3)),sk1))),
inference(forward_demodulation,[status(thm)],[f4538,f9984]) ).
fof(f9986,plain,
meet(sk1,composition(complement(sk3),sk2)) = composition(meet(complement(sk3),composition(sk1,converse(sk2))),meet(sk2,composition(converse(complement(sk3)),sk1))),
inference(forward_demodulation,[status(thm)],[f532,f9985]) ).
fof(f9987,plain,
meet(sk1,composition(complement(sk3),sk2)) = composition(zero,meet(sk2,composition(converse(complement(sk3)),sk1))),
inference(forward_demodulation,[status(thm)],[f9012,f9986]) ).
fof(f9988,plain,
meet(sk1,composition(complement(sk3),sk2)) = zero,
inference(forward_demodulation,[status(thm)],[f4538,f9987]) ).
fof(f10036,plain,
sk1 = join(zero,meet(complement(composition(complement(sk3),sk2)),sk1)),
inference(paramodulation,[status(thm)],[f9988,f232]) ).
fof(f10060,plain,
sk1 = meet(complement(composition(complement(sk3),sk2)),sk1),
inference(forward_demodulation,[status(thm)],[f481,f10036]) ).
fof(f10061,plain,
sk1 = meet(sk1,complement(composition(complement(sk3),sk2))),
inference(forward_demodulation,[status(thm)],[f62,f10060]) ).
fof(f10098,plain,
complement(sk1) = join(complement(sk1),composition(complement(sk3),sk2)),
inference(paramodulation,[status(thm)],[f10061,f1824]) ).
fof(f10120,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f10098,f46]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL043-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n007.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:06:06 UTC 2026
% 0.09/0.38 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 20.56/3.10 % Refutation found
% 20.56/3.10 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 20.56/3.10 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 20.76/3.20 % Elapsed time: 2.804671 seconds
% 20.76/3.20 % CPU time: 21.899775 seconds
% 20.76/3.20 % Total memory used: 233.783 MB
% 20.76/3.20 % Net memory used: 227.025 MB
%------------------------------------------------------------------------------