%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL044-2 : 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 02:03:27 PM UTC 2026
% Result : Unsatisfiable 21.36s 3.92s
% Output : CNFRefutation 21.36s
% Verified :
% SZS Type : Refutation
% Derivation depth : 42
% Number of leaves : 15
% Syntax : Number of formulae : 149 ( 149 unt; 0 def)
% Number of atoms : 149 ( 148 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 : 6 ( 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 : 207 ( 207 !; 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(complement(sk1),sk2),complement(sk3)) = complement(sk3),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
join(composition(sk3,converse(sk2)),sk1) != 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(complement(sk1),sk2),complement(sk3)) = complement(sk3),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
join(composition(sk3,converse(sk2)),sk1) != sk1,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f41,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f19,f21]) ).
fof(f42,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f22,f41]) ).
fof(f43,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f19,f29]) ).
fof(f44,plain,
join(complement(sk3),composition(complement(sk1),sk2)) = complement(sk3),
inference(forward_demodulation,[status(thm)],[f19,f35]) ).
fof(f45,plain,
join(sk1,composition(sk3,converse(sk2))) != sk1,
inference(forward_demodulation,[status(thm)],[f19,f36]) ).
fof(f46,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f19,f42]) ).
fof(f55,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f19,f22]) ).
fof(f61,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f22,f55]) ).
fof(f65,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f69,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
inference(paramodulation,[status(thm)],[f19,f20]) ).
fof(f75,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
inference(forward_demodulation,[status(thm)],[f20,f69]) ).
fof(f82,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(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f265,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f46]) ).
fof(f271,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f19,f265]) ).
fof(f274,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(paramodulation,[status(thm)],[f61,f271]) ).
fof(f276,plain,
! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f61,f271]) ).
fof(f284,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f61,f274]) ).
fof(f336,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f82]) ).
fof(f342,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f336]) ).
fof(f346,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f24,f342]) ).
fof(f347,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(paramodulation,[status(thm)],[f342,f43]) ).
fof(f353,plain,
! [X0,X1] : composition(join(X0,converse(one)),X1) = join(composition(X0,X1),X1),
inference(paramodulation,[status(thm)],[f342,f25]) ).
fof(f354,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f342,f25]) ).
fof(f356,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f346,f342]) ).
fof(f360,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(composition(X0,X1),X1),
inference(forward_demodulation,[status(thm)],[f346,f353]) ).
fof(f362,plain,
! [X0,X1] : composition(join(X0,one),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f360]) ).
fof(f363,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f346,f354]) ).
fof(f364,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f356,f347]) ).
fof(f379,plain,
! [X0] : converse(join(X0,one)) = join(converse(X0),one),
inference(paramodulation,[status(thm)],[f346,f101]) ).
fof(f390,plain,
! [X0] : converse(join(X0,one)) = join(one,converse(X0)),
inference(forward_demodulation,[status(thm)],[f19,f379]) ).
fof(f397,plain,
! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
inference(paramodulation,[status(thm)],[f31,f276]) ).
fof(f398,plain,
! [X0] : X0 = join(meet(X0,X0),zero),
inference(paramodulation,[status(thm)],[f31,f274]) ).
fof(f400,plain,
! [X0] : X0 = join(zero,meet(complement(complement(X0)),X0)),
inference(paramodulation,[status(thm)],[f31,f276]) ).
fof(f405,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
inference(forward_demodulation,[status(thm)],[f19,f397]) ).
fof(f406,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f61,f405]) ).
fof(f407,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f19,f398]) ).
fof(f409,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f61,f400]) ).
fof(f413,plain,
! [X0] : X0 = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f406,f409]) ).
fof(f418,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X0,X1)),
inference(paramodulation,[status(thm)],[f22,f413]) ).
fof(f425,plain,
! [X0,X1] : meet(X0,complement(X1)) = complement(join(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f413,f22]) ).
fof(f429,plain,
! [X0] : complement(meet(X0,X0)) = complement(X0),
inference(backward_demodulation,[status(thm)],[f418,f364]) ).
fof(f458,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f429,f413]) ).
fof(f466,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f469,f407]) ).
fof(f469,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f413,f458]) ).
fof(f488,plain,
! [X0] : X0 = join(X0,meet(complement(X0),X0)),
inference(paramodulation,[status(thm)],[f469,f276]) ).
fof(f502,plain,
! [X0] : X0 = join(X0,meet(X0,complement(X0))),
inference(forward_demodulation,[status(thm)],[f61,f488]) ).
fof(f503,plain,
! [X0] : X0 = join(X0,zero),
inference(forward_demodulation,[status(thm)],[f31,f502]) ).
fof(f506,plain,
complement(zero) = top,
inference(paramodulation,[status(thm)],[f30,f466]) ).
fof(f510,plain,
! [X0] : converse(converse(X0)) = join(converse(zero),X0),
inference(paramodulation,[status(thm)],[f466,f101]) ).
fof(f516,plain,
! [X0] : X0 = join(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f26,f510]) ).
fof(f518,plain,
zero = complement(top),
inference(paramodulation,[status(thm)],[f506,f413]) ).
fof(f530,plain,
! [X0] : join(zero,composition(converse(X0),complement(composition(X0,top)))) = complement(top),
inference(paramodulation,[status(thm)],[f518,f43]) ).
fof(f534,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = complement(top),
inference(forward_demodulation,[status(thm)],[f466,f530]) ).
fof(f535,plain,
! [X0] : composition(converse(X0),complement(composition(X0,top))) = zero,
inference(forward_demodulation,[status(thm)],[f518,f534]) ).
fof(f560,plain,
zero = converse(zero),
inference(paramodulation,[status(thm)],[f503,f516]) ).
fof(f645,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(converse(X1)))),meet(converse(X1),composition(converse(X0),X2))),
inference(paramodulation,[status(thm)],[f26,f32]) ).
fof(f702,plain,
! [X0,X1,X2] : join(meet(composition(X0,converse(X1)),X2),composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,X1)),meet(converse(X1),composition(converse(X0),X2))),
inference(forward_demodulation,[status(thm)],[f26,f645]) ).
fof(f1220,plain,
! [X0,X1] : join(complement(X0),complement(X1)) = complement(meet(X1,X0)),
inference(paramodulation,[status(thm)],[f19,f418]) ).
fof(f1224,plain,
! [X0] : join(top,complement(X0)) = complement(meet(zero,X0)),
inference(paramodulation,[status(thm)],[f506,f418]) ).
fof(f1225,plain,
! [X0,X1] : join(X0,complement(X1)) = complement(meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f413,f418]) ).
fof(f1227,plain,
! [X0] : join(complement(X0),zero) = complement(meet(X0,top)),
inference(paramodulation,[status(thm)],[f518,f418]) ).
fof(f1240,plain,
! [X0,X1] : complement(meet(X0,X1)) = complement(meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f418,f1220]) ).
fof(f1248,plain,
! [X0] : complement(X0) = complement(meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f503,f1227]) ).
fof(f1264,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1248,f413]) ).
fof(f1287,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f413,f1264]) ).
fof(f1314,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X0,join(X2,X1)),
inference(paramodulation,[status(thm)],[f65,f75]) ).
fof(f1671,plain,
! [X0,X1] : top = join(meet(X0,X1),complement(meet(X1,X0))),
inference(paramodulation,[status(thm)],[f1240,f30]) ).
fof(f1880,plain,
meet(sk3,complement(composition(complement(sk1),sk2))) = complement(complement(sk3)),
inference(paramodulation,[status(thm)],[f44,f425]) ).
fof(f1900,plain,
! [X0] : meet(zero,complement(X0)) = complement(join(top,X0)),
inference(paramodulation,[status(thm)],[f506,f425]) ).
fof(f1918,plain,
meet(sk3,complement(composition(complement(sk1),sk2))) = sk3,
inference(forward_demodulation,[status(thm)],[f413,f1880]) ).
fof(f2016,plain,
! [X0] : composition(join(one,converse(X0)),complement(composition(join(X0,one),top))) = zero,
inference(paramodulation,[status(thm)],[f390,f535]) ).
fof(f2036,plain,
! [X0] : composition(join(one,converse(X0)),complement(join(top,composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f362,f2016]) ).
fof(f2037,plain,
! [X0] : composition(join(one,converse(X0)),meet(zero,complement(composition(X0,top)))) = zero,
inference(forward_demodulation,[status(thm)],[f1900,f2036]) ).
fof(f3054,plain,
! [X0] : zero = meet(meet(zero,X0),join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f1224,f31]) ).
fof(f3099,plain,
! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f469,f1225]) ).
fof(f3137,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f413,f3099]) ).
fof(f3146,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f413,f3137]) ).
fof(f3208,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X1,X0),
inference(paramodulation,[status(thm)],[f3146,f75]) ).
fof(f3263,plain,
! [X0,X1] : join(meet(complement(X0),X1),X1) = join(meet(X0,X1),meet(complement(X0),X1)),
inference(paramodulation,[status(thm)],[f284,f3208]) ).
fof(f3288,plain,
! [X0] : join(complement(X0),top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f30,f3208]) ).
fof(f3324,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = join(meet(X1,X0),meet(complement(X1),X0)),
inference(forward_demodulation,[status(thm)],[f19,f3263]) ).
fof(f3325,plain,
! [X0,X1] : join(X0,meet(complement(X1),X0)) = X0,
inference(forward_demodulation,[status(thm)],[f284,f3324]) ).
fof(f3378,plain,
! [X0] : join(top,complement(X0)) = join(X0,complement(X0)),
inference(forward_demodulation,[status(thm)],[f19,f3288]) ).
fof(f3387,plain,
! [X0] : zero = meet(meet(zero,X0),top),
inference(backward_demodulation,[status(thm)],[f3391,f3054]) ).
fof(f3391,plain,
! [X0] : join(top,complement(X0)) = top,
inference(forward_demodulation,[status(thm)],[f30,f3378]) ).
fof(f3441,plain,
! [X0] : composition(join(one,converse(X0)),zero) = zero,
inference(backward_demodulation,[status(thm)],[f3468,f2037]) ).
fof(f3468,plain,
! [X0] : zero = meet(zero,X0),
inference(forward_demodulation,[status(thm)],[f1287,f3387]) ).
fof(f3488,plain,
! [X0] : join(zero,composition(converse(X0),zero)) = zero,
inference(forward_demodulation,[status(thm)],[f363,f3441]) ).
fof(f3496,plain,
! [X0] : composition(converse(X0),zero) = zero,
inference(forward_demodulation,[status(thm)],[f466,f3488]) ).
fof(f3994,plain,
! [X0] : converse(zero) = composition(converse(zero),X0),
inference(paramodulation,[status(thm)],[f3496,f82]) ).
fof(f4038,plain,
! [X0] : zero = composition(converse(zero),X0),
inference(forward_demodulation,[status(thm)],[f560,f3994]) ).
fof(f4060,plain,
! [X0] : zero = composition(zero,X0),
inference(forward_demodulation,[status(thm)],[f560,f4038]) ).
fof(f4272,plain,
! [X0,X1] : join(X0,meet(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f413,f3325]) ).
fof(f4329,plain,
! [X0,X1,X2] : join(X0,join(X1,meet(X2,X0))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f4272,f75]) ).
fof(f4331,plain,
! [X0,X1,X2] : join(X0,join(meet(X1,X0),X2)) = join(X2,X0),
inference(paramodulation,[status(thm)],[f4272,f65]) ).
fof(f6340,plain,
! [X0,X1] : top = join(meet(X0,complement(X1)),join(X1,complement(X0))),
inference(paramodulation,[status(thm)],[f1225,f1671]) ).
fof(f6419,plain,
! [X0,X1] : top = join(X0,join(meet(X1,complement(X0)),complement(X1))),
inference(forward_demodulation,[status(thm)],[f75,f6340]) ).
fof(f6420,plain,
! [X0,X1] : top = join(X0,join(complement(X1),meet(X1,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1314,f6419]) ).
fof(f7214,plain,
! [X0,X1] : join(complement(X0),X1) = join(meet(X0,X1),complement(X0)),
inference(paramodulation,[status(thm)],[f274,f4329]) ).
fof(f7293,plain,
! [X0,X1] : top = join(X0,join(complement(X1),complement(X0))),
inference(backward_demodulation,[status(thm)],[f7294,f6420]) ).
fof(f7294,plain,
! [X0,X1] : join(complement(X0),X1) = join(complement(X0),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f19,f7214]) ).
fof(f7358,plain,
! [X0,X1] : top = join(X0,complement(meet(X1,X0))),
inference(forward_demodulation,[status(thm)],[f418,f7293]) ).
fof(f7682,plain,
! [X0,X1] : meet(X0,complement(complement(meet(X1,complement(X0))))) = complement(top),
inference(paramodulation,[status(thm)],[f7358,f425]) ).
fof(f7746,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = complement(top),
inference(forward_demodulation,[status(thm)],[f413,f7682]) ).
fof(f7747,plain,
! [X0,X1] : meet(X0,meet(X1,complement(X0))) = zero,
inference(forward_demodulation,[status(thm)],[f518,f7746]) ).
fof(f7774,plain,
meet(composition(complement(sk1),sk2),sk3) = zero,
inference(paramodulation,[status(thm)],[f1918,f7747]) ).
fof(f7822,plain,
meet(sk3,composition(complement(sk1),sk2)) = zero,
inference(forward_demodulation,[status(thm)],[f61,f7774]) ).
fof(f8960,plain,
! [X0,X1] : join(X0,X1) = join(meet(complement(X0),X1),X0),
inference(paramodulation,[status(thm)],[f276,f4331]) ).
fof(f9071,plain,
! [X0,X1] : join(X0,X1) = join(X0,meet(complement(X0),X1)),
inference(forward_demodulation,[status(thm)],[f19,f8960]) ).
fof(f18696,plain,
join(meet(composition(sk3,converse(sk2)),complement(sk1)),composition(zero,meet(converse(sk2),composition(converse(sk3),complement(sk1))))) = composition(meet(sk3,composition(complement(sk1),sk2)),meet(converse(sk2),composition(converse(sk3),complement(sk1)))),
inference(paramodulation,[status(thm)],[f7822,f702]) ).
fof(f18880,plain,
join(meet(complement(sk1),composition(sk3,converse(sk2))),composition(zero,meet(converse(sk2),composition(converse(sk3),complement(sk1))))) = composition(meet(sk3,composition(complement(sk1),sk2)),meet(converse(sk2),composition(converse(sk3),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f61,f18696]) ).
fof(f18881,plain,
join(meet(complement(sk1),composition(sk3,converse(sk2))),zero) = composition(meet(sk3,composition(complement(sk1),sk2)),meet(converse(sk2),composition(converse(sk3),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f4060,f18880]) ).
fof(f18882,plain,
meet(complement(sk1),composition(sk3,converse(sk2))) = composition(meet(sk3,composition(complement(sk1),sk2)),meet(converse(sk2),composition(converse(sk3),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f503,f18881]) ).
fof(f18883,plain,
meet(complement(sk1),composition(sk3,converse(sk2))) = composition(zero,meet(converse(sk2),composition(converse(sk3),complement(sk1)))),
inference(forward_demodulation,[status(thm)],[f7822,f18882]) ).
fof(f18884,plain,
meet(complement(sk1),composition(sk3,converse(sk2))) = zero,
inference(forward_demodulation,[status(thm)],[f4060,f18883]) ).
fof(f19127,plain,
join(sk1,composition(sk3,converse(sk2))) = join(sk1,zero),
inference(paramodulation,[status(thm)],[f18884,f9071]) ).
fof(f19167,plain,
join(sk1,composition(sk3,converse(sk2))) = sk1,
inference(forward_demodulation,[status(thm)],[f503,f19127]) ).
fof(f19168,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f19167,f45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL044-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/1.19 % Computer : n019.cluster.edu
% 0.10/1.19 % Model : x86_64 x86_64
% 0.10/1.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/1.19 % Memory : 8046.5625MB
% 0.10/1.19 % OS : Linux 6.8.0-71-generic
% 0.10/1.19 % CPULimit : 300
% 0.10/1.19 % WCLimit : 300
% 0.10/1.19 % DateTime : Mon Sep 21 04:08:39 UTC 2026
% 0.10/1.19 % CPUTime :
% 0.14/1.20 % Drodi V4.1.1
% 21.36/3.92 % Refutation found
% 21.36/3.92 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 21.36/3.92 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.79/4.01 % Elapsed time: 2.805760 seconds
% 0.79/4.01 % CPU time: 22.131791 seconds
% 0.79/4.01 % Total memory used: 372.575 MB
% 0.79/4.01 % Net memory used: 365.355 MB
%------------------------------------------------------------------------------