%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL013-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n004.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 02:03:34 PM UTC 2026
% Result : Unsatisfiable 12.72s 2.07s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL013-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n004.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 03:59:06 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 12.72/2.07 % Refutation found
% 12.72/2.07 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 12.72/2.07 % SZS output start CNFRefutation for theBenchmark
% 12.72/2.07 fof(f1,axiom,(
% 12.72/2.07 (![A,B]: (join(A,B) = join(B,A) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f2,axiom,(
% 12.72/2.07 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f3,axiom,(
% 12.72/2.07 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f4,axiom,(
% 12.72/2.07 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f5,axiom,(
% 12.72/2.07 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f6,axiom,(
% 12.72/2.07 (![A]: (composition(A,one) = A ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f7,axiom,(
% 12.72/2.07 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f8,axiom,(
% 12.72/2.07 (![A]: (converse(converse(A)) = A ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f9,axiom,(
% 12.72/2.07 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f10,axiom,(
% 12.72/2.07 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f11,axiom,(
% 12.72/2.07 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f12,axiom,(
% 12.72/2.07 (![A]: (top = join(A,complement(A)) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f13,axiom,(
% 12.72/2.07 (![A]: (zero = meet(A,complement(A)) ))),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f14,negated_conjecture,(
% 12.72/2.07 ( composition(sk1,zero) != zero| composition(zero,sk1) != zero ) ),
% 12.72/2.07 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 12.72/2.07 fof(f15,plain,(
% 12.72/2.07 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f1])).
% 12.72/2.07 fof(f16,plain,(
% 12.72/2.07 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f2])).
% 12.72/2.07 fof(f17,plain,(
% 12.72/2.07 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f3])).
% 12.72/2.07 fof(f18,plain,(
% 12.72/2.07 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f4])).
% 12.72/2.07 fof(f19,plain,(
% 12.72/2.07 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f5])).
% 12.72/2.07 fof(f20,plain,(
% 12.72/2.07 ![X0]: (composition(X0,one)=X0)),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f6])).
% 12.72/2.07 fof(f21,plain,(
% 12.72/2.07 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f7])).
% 12.72/2.07 fof(f22,plain,(
% 12.72/2.07 ![X0]: (converse(converse(X0))=X0)),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f8])).
% 12.72/2.07 fof(f23,plain,(
% 12.72/2.07 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f9])).
% 12.72/2.07 fof(f24,plain,(
% 12.72/2.07 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f10])).
% 12.72/2.07 fof(f25,plain,(
% 12.72/2.07 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f11])).
% 12.72/2.07 fof(f26,plain,(
% 12.72/2.07 ![X0]: (top=join(X0,complement(X0)))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f12])).
% 12.72/2.07 fof(f27,plain,(
% 12.72/2.07 ![X0]: (zero=meet(X0,complement(X0)))),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f13])).
% 12.72/2.07 fof(f28,plain,(
% 12.72/2.07 ~composition(sk1,zero)=zero|~composition(zero,sk1)=zero),
% 12.72/2.07 inference(cnf_transformation,[status(thm)],[f14])).
% 12.72/2.08 fof(f29,definition,(
% 12.72/2.08 sQ0_spl <=> (composition(sk1,zero)=zero)),
% 12.72/2.08 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 12.72/2.08 fof(f31,plain,(
% 12.72/2.08 ~composition(sk1,zero)=zero|sQ0_spl),
% 12.72/2.08 inference(component_clause,[status(thm)],[f29])).
% 12.72/2.08 fof(f32,definition,(
% 12.72/2.08 sQ1_spl <=> (composition(zero,sk1)=zero)),
% 12.72/2.08 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 12.72/2.08 fof(f34,plain,(
% 12.72/2.08 ~composition(zero,sk1)=zero|sQ1_spl),
% 12.72/2.08 inference(component_clause,[status(thm)],[f32])).
% 12.72/2.08 fof(f35,plain,(
% 12.72/2.08 ~sQ0_spl|~sQ1_spl),
% 12.72/2.08 inference(split_clause,[status(thm)],[f28,f29,f32])).
% 12.72/2.08 fof(f109,plain,(
% 12.72/2.08 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f20,f19])).
% 12.72/2.08 fof(f134,plain,(
% 12.72/2.08 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X1,X2),composition(X0,X2)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f21,f15])).
% 12.72/2.08 fof(f248,plain,(
% 12.72/2.08 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f26,f16])).
% 12.72/2.08 fof(f260,plain,(
% 12.72/2.08 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f26,f16])).
% 12.72/2.08 fof(f261,plain,(
% 12.72/2.08 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f16])).
% 12.72/2.08 fof(f268,plain,(
% 12.72/2.08 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f26,f18])).
% 12.72/2.08 fof(f269,plain,(
% 12.72/2.08 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f18])).
% 12.72/2.08 fof(f272,plain,(
% 12.72/2.08 ![X0,X1,X2]: (meet(X0,join(complement(X1),complement(X2)))=complement(join(complement(X0),meet(X1,X2))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f18,f18])).
% 12.72/2.08 fof(f274,plain,(
% 12.72/2.08 ![X0,X1]: (top=join(join(complement(X0),complement(X1)),meet(X0,X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f18,f26])).
% 12.72/2.08 fof(f275,plain,(
% 12.72/2.08 zero=complement(top)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f27,f268])).
% 12.72/2.08 fof(f276,plain,(
% 12.72/2.08 ![X0,X1]: (top=join(complement(X0),join(complement(X1),meet(X0,X1))))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f16,f274])).
% 12.72/2.08 fof(f287,plain,(
% 12.72/2.08 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f18,f17])).
% 12.72/2.08 fof(f290,plain,(
% 12.72/2.08 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f18,f287])).
% 12.72/2.08 fof(f291,plain,(
% 12.72/2.08 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f26,f287])).
% 12.72/2.08 fof(f292,plain,(
% 12.72/2.08 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f287])).
% 12.72/2.08 fof(f299,plain,(
% 12.72/2.08 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f275,f291])).
% 12.72/2.08 fof(f302,plain,(
% 12.72/2.08 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f22,f23])).
% 12.72/2.08 fof(f303,plain,(
% 12.72/2.08 ![X0,X1]: (converse(join(X0,converse(X1)))=join(converse(X0),X1))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f22,f23])).
% 12.72/2.08 fof(f308,plain,(
% 12.72/2.08 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f22,f24])).
% 12.72/2.08 fof(f323,plain,(
% 12.72/2.08 ![X0,X1,X2]: (composition(join(X0,converse(X1)),converse(X2))=join(composition(X0,converse(X2)),converse(composition(X2,X1))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f24,f21])).
% 12.72/2.08 fof(f327,plain,(
% 12.72/2.08 ![X0,X1,X2]: (composition(join(X0,X1),X2)=composition(join(X1,X0),X2))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f21,f134])).
% 12.72/2.08 fof(f359,plain,(
% 12.72/2.08 ![X0,X1,X2]: (composition(converse(join(X0,X1)),X2)=composition(join(converse(X1),converse(X0)),X2))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f23,f327])).
% 12.72/2.08 fof(f463,plain,(
% 12.72/2.08 ![X0,X1,X2]: (composition(converse(join(X0,X1)),X2)=composition(converse(join(X1,X0)),X2))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f23,f359])).
% 12.72/2.08 fof(f599,plain,(
% 12.72/2.08 ![X0,X1]: (converse(join(X0,X1))=composition(converse(join(X1,X0)),one))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f20,f463])).
% 12.72/2.08 fof(f707,plain,(
% 12.72/2.08 ![X0,X1]: (converse(join(X0,X1))=converse(join(X1,X0)))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f20,f599])).
% 12.72/2.08 fof(f837,plain,(
% 12.72/2.08 ![X0,X1,X2]: (converse(join(X0,join(X1,X2)))=join(converse(X0),converse(join(X2,X1))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f707,f23])).
% 12.72/2.08 fof(f867,plain,(
% 12.72/2.08 ![X0,X1,X2]: (converse(join(X0,join(X1,X2)))=converse(join(X0,join(X2,X1))))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f23,f837])).
% 12.72/2.08 fof(f995,plain,(
% 12.72/2.08 ![X0,X1]: (composition(join(X0,converse(one)),converse(X1))=join(composition(X0,converse(X1)),converse(X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f20,f323])).
% 12.72/2.08 fof(f1046,plain,(
% 12.72/2.08 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f290])).
% 12.72/2.08 fof(f1066,plain,(
% 12.72/2.08 ![X0]: (converse(join(zero,meet(X0,complement(complement(X0)))))=converse(X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f299,f707])).
% 12.72/2.08 fof(f1077,plain,(
% 12.72/2.08 ![X0]: (X0=join(meet(X0,X0),zero))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f27,f1046])).
% 12.72/2.08 fof(f1105,plain,(
% 12.72/2.08 ![X0,X1]: (join(composition(converse(converse(X0)),complement(converse(composition(X1,X0)))),complement(converse(X1)))=complement(converse(X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f24,f25])).
% 12.72/2.08 fof(f1123,plain,(
% 12.72/2.08 ![X0,X1]: (join(composition(X0,complement(converse(composition(X1,X0)))),complement(converse(X1)))=complement(converse(X1)))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f22,f1105])).
% 12.72/2.08 fof(f1315,plain,(
% 12.72/2.08 ![X0]: (converse(converse(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f1066,f22])).
% 12.72/2.08 fof(f1322,plain,(
% 12.72/2.08 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f22,f1315])).
% 12.72/2.08 fof(f2683,plain,(
% 12.72/2.08 ![X0,X1,X2]: (converse(converse(join(X0,join(X1,X2))))=join(X0,join(X2,X1)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f867,f22])).
% 12.72/2.08 fof(f2752,plain,(
% 12.72/2.08 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X0,join(X2,X1)))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f22,f2683])).
% 12.72/2.08 fof(f2772,plain,(
% 12.72/2.08 ![X0,X1]: (join(top,X0)=join(X1,join(X0,complement(X1))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f260,f2752])).
% 12.72/2.08 fof(f3232,plain,(
% 12.72/2.08 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f26,f269])).
% 12.72/2.08 fof(f3242,plain,(
% 12.72/2.08 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f269,f287])).
% 12.72/2.08 fof(f3258,plain,(
% 12.72/2.08 ![X0]: (meet(complement(X0),X0)=zero)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f275,f3232])).
% 12.72/2.08 fof(f4468,plain,(
% 12.72/2.08 ![X0]: (complement(complement(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f3258,f3242])).
% 12.72/2.08 fof(f4516,plain,(
% 12.72/2.08 ![X0]: (complement(complement(X0))=X0)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f1322,f4468])).
% 12.72/2.08 fof(f4527,plain,(
% 12.72/2.08 complement(zero)=top),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f275,f4516])).
% 12.72/2.08 fof(f4549,plain,(
% 12.72/2.08 ![X0]: (top=join(complement(X0),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f4516,f26])).
% 12.72/2.08 fof(f4636,plain,(
% 12.72/2.08 ![X0]: (join(complement(X0),join(X0,complement(top)))=top)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f4549,f248])).
% 12.72/2.08 fof(f4657,plain,(
% 12.72/2.08 ![X0]: (join(complement(X0),join(X0,zero))=top)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f275,f4636])).
% 12.72/2.08 fof(f4672,plain,(
% 12.72/2.08 ![X0]: (join(complement(meet(X0,X0)),X0)=top)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f1077,f4657])).
% 12.72/2.08 fof(f4758,plain,(
% 12.72/2.08 ![X0,X1]: (join(complement(complement(join(complement(join(complement(X0),complement(X1))),meet(X0,X1)))),join(complement(X0),complement(X1)))=top)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f272,f4672])).
% 12.72/2.08 fof(f4815,plain,(
% 12.72/2.08 ![X0,X1]: (join(join(complement(join(complement(X0),complement(X1))),meet(X0,X1)),join(complement(X0),complement(X1)))=top)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4516,f4758])).
% 12.72/2.08 fof(f4816,plain,(
% 12.72/2.08 ![X0,X1]: (join(meet(X0,X1),join(complement(join(complement(X0),complement(X1))),join(complement(X0),complement(X1))))=top)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f261,f4815])).
% 12.72/2.08 fof(f4817,plain,(
% 12.72/2.08 ![X0,X1]: (join(meet(X0,X1),top)=top)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4549,f4816])).
% 12.72/2.08 fof(f4825,plain,(
% 12.72/2.08 ![X0,X1]: (join(top,meet(X0,X1))=top)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f4817])).
% 12.72/2.08 fof(f4903,plain,(
% 12.72/2.08 ![X0]: (top=join(complement(X0),join(top,meet(X0,zero))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f4527,f276])).
% 12.72/2.08 fof(f4938,plain,(
% 12.72/2.08 ![X0]: (top=join(complement(X0),top))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4825,f4903])).
% 12.72/2.08 fof(f4991,plain,(
% 12.72/2.08 ![X0,X1]: (join(top,meet(X0,X1))=join(join(X1,complement(X0)),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f292,f2772])).
% 12.72/2.08 fof(f5019,plain,(
% 12.72/2.08 ![X0,X1]: (top=join(join(X0,complement(X1)),X1))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4825,f4991])).
% 12.72/2.08 fof(f5020,plain,(
% 12.72/2.08 ![X0,X1]: (top=join(complement(X0),join(X1,X0)))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f261,f5019])).
% 12.72/2.08 fof(f5027,plain,(
% 12.72/2.08 ![X0]: (top=join(X0,top))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f4516,f4938])).
% 12.72/2.08 fof(f5077,plain,(
% 12.72/2.08 ![X0]: (top=join(top,X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f15,f5027])).
% 12.72/2.08 fof(f6563,plain,(
% 12.72/2.08 ![X0,X1]: (top=join(complement(meet(X0,X1)),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f290,f5020])).
% 12.72/2.08 fof(f6943,plain,(
% 12.72/2.08 ![X0]: (converse(top)=join(X0,converse(top)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f5027,f302])).
% 12.72/2.08 fof(f7917,plain,(
% 12.72/2.08 converse(top)=top),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f6563,f6943])).
% 12.72/2.08 fof(f9094,plain,(
% 12.72/2.08 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f20,f308])).
% 12.72/2.08 fof(f9157,plain,(
% 12.72/2.08 ![X0]: (X0=composition(converse(one),X0))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f22,f9094])).
% 12.72/2.08 fof(f10025,plain,(
% 12.72/2.08 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f109,f9157])).
% 12.72/2.08 fof(f10026,plain,(
% 12.72/2.08 one=converse(one)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f20,f9157])).
% 12.72/2.08 fof(f10116,plain,(
% 12.72/2.08 ![X0]: (composition(one,X0)=X0)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f9157,f10025])).
% 12.72/2.08 fof(f10272,plain,(
% 12.72/2.08 ![X0]: (join(composition(converse(one),complement(X0)),complement(X0))=complement(X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f10116,f25])).
% 12.72/2.08 fof(f10341,plain,(
% 12.72/2.08 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f9157,f10272])).
% 12.72/2.08 fof(f11186,plain,(
% 12.72/2.08 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f10341,f269])).
% 12.72/2.08 fof(f11190,plain,(
% 12.72/2.08 ![X0]: (X0=join(meet(X0,complement(X0)),complement(complement(X0))))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f10341,f287])).
% 12.72/2.08 fof(f11227,plain,(
% 12.72/2.08 ![X0]: (meet(X0,X0)=X0)),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4516,f11186])).
% 12.72/2.08 fof(f11231,plain,(
% 12.72/2.08 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f27,f11190])).
% 12.72/2.08 fof(f11232,plain,(
% 12.72/2.08 ![X0]: (X0=join(zero,X0))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f4516,f11231])).
% 12.72/2.08 fof(f11372,plain,(
% 12.72/2.08 ![X0]: (X0=join(X0,zero))),
% 12.72/2.08 inference(backward_demodulation,[status(thm)],[f11227,f1077])).
% 12.72/2.08 fof(f11451,plain,(
% 12.72/2.08 ![X0]: (converse(converse(X0))=join(converse(zero),X0))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f11232,f303])).
% 12.72/2.08 fof(f11517,plain,(
% 12.72/2.08 ![X0]: (X0=join(converse(zero),X0))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f22,f11451])).
% 12.72/2.08 fof(f14396,plain,(
% 12.72/2.08 zero=converse(zero)),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f11372,f11517])).
% 12.72/2.08 fof(f18417,plain,(
% 12.72/2.08 ![X0,X1]: (composition(join(X0,one),converse(X1))=join(composition(X0,converse(X1)),converse(X1)))),
% 12.72/2.08 inference(forward_demodulation,[status(thm)],[f10026,f995])).
% 12.72/2.08 fof(f18433,plain,(
% 12.72/2.08 ![X0]: (composition(join(X0,one),converse(top))=join(composition(X0,top),converse(top)))),
% 12.72/2.08 inference(paramodulation,[status(thm)],[f7917,f18417])).
% 12.72/2.08 fof(f18554,plain,(
% 12.72/2.08 ![X0]: (composition(join(X0,one),top)=join(composition(X0,top),converse(top)))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f7917,f18433])).
% 12.72/2.10 fof(f18555,plain,(
% 12.72/2.10 ![X0]: (composition(join(X0,one),top)=join(composition(X0,top),top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f7917,f18554])).
% 12.72/2.10 fof(f18556,plain,(
% 12.72/2.10 ![X0]: (composition(join(X0,one),top)=top)),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f5027,f18555])).
% 12.72/2.10 fof(f18641,plain,(
% 12.72/2.10 composition(top,top)=top),
% 12.72/2.10 inference(paramodulation,[status(thm)],[f6563,f18556])).
% 12.72/2.10 fof(f18846,plain,(
% 12.72/2.10 join(composition(top,complement(converse(top))),complement(converse(top)))=complement(converse(top))),
% 12.72/2.10 inference(paramodulation,[status(thm)],[f18641,f1123])).
% 12.72/2.10 fof(f18931,plain,(
% 12.72/2.10 join(composition(top,complement(top)),complement(converse(top)))=complement(converse(top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f7917,f18846])).
% 12.72/2.10 fof(f18932,plain,(
% 12.72/2.10 join(composition(top,zero),complement(converse(top)))=complement(converse(top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f275,f18931])).
% 12.72/2.10 fof(f18933,plain,(
% 12.72/2.10 join(composition(top,zero),complement(top))=complement(converse(top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f7917,f18932])).
% 12.72/2.10 fof(f18934,plain,(
% 12.72/2.10 join(composition(top,zero),zero)=complement(converse(top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f275,f18933])).
% 12.72/2.10 fof(f18935,plain,(
% 12.72/2.10 composition(top,zero)=complement(converse(top))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f11372,f18934])).
% 12.72/2.10 fof(f18936,plain,(
% 12.72/2.10 composition(top,zero)=complement(top)),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f7917,f18935])).
% 12.72/2.10 fof(f18937,plain,(
% 12.72/2.10 composition(top,zero)=zero),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f275,f18936])).
% 12.72/2.10 fof(f19099,plain,(
% 12.72/2.10 ![X0]: (composition(join(top,X0),zero)=join(composition(X0,zero),zero))),
% 12.72/2.10 inference(paramodulation,[status(thm)],[f18937,f134])).
% 12.72/2.10 fof(f19249,plain,(
% 12.72/2.10 ![X0]: (composition(top,zero)=join(composition(X0,zero),zero))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f5077,f19099])).
% 12.72/2.10 fof(f19250,plain,(
% 12.72/2.10 ![X0]: (zero=join(composition(X0,zero),zero))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f18937,f19249])).
% 12.72/2.10 fof(f19251,plain,(
% 12.72/2.10 ![X0]: (zero=composition(X0,zero))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f11372,f19250])).
% 12.72/2.10 fof(f19286,plain,(
% 12.72/2.10 ~zero=zero|sQ0_spl),
% 12.72/2.10 inference(backward_demodulation,[status(thm)],[f19251,f31])).
% 12.72/2.10 fof(f19309,plain,(
% 12.72/2.10 ![X0]: (converse(zero)=composition(converse(zero),X0))),
% 12.72/2.10 inference(paramodulation,[status(thm)],[f19251,f308])).
% 12.72/2.10 fof(f19369,plain,(
% 12.72/2.10 $false|sQ0_spl),
% 12.72/2.10 inference(trivial_equality_resolution,[status(thm)],[f19286])).
% 12.72/2.10 fof(f19370,plain,(
% 12.72/2.10 sQ0_spl),
% 12.72/2.10 inference(contradiction_clause,[status(thm)],[f19369])).
% 12.72/2.10 fof(f19379,plain,(
% 12.72/2.10 ![X0]: (zero=composition(converse(zero),X0))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f14396,f19309])).
% 12.72/2.10 fof(f19380,plain,(
% 12.72/2.10 ![X0]: (zero=composition(zero,X0))),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f14396,f19379])).
% 12.72/2.10 fof(f19952,plain,(
% 12.72/2.10 ~zero=zero|sQ1_spl),
% 12.72/2.10 inference(forward_demodulation,[status(thm)],[f19380,f34])).
% 12.72/2.10 fof(f19953,plain,(
% 12.72/2.10 $false|sQ1_spl),
% 12.72/2.10 inference(trivial_equality_resolution,[status(thm)],[f19952])).
% 12.72/2.10 fof(f19954,plain,(
% 12.72/2.10 sQ1_spl),
% 12.72/2.10 inference(contradiction_clause,[status(thm)],[f19953])).
% 12.72/2.10 fof(f19955,plain,(
% 12.72/2.10 $false),
% 12.72/2.10 inference(sat_refutation,[status(thm)],[f35,f19370,f19954])).
% 12.72/2.10 % SZS output end CNFRefutation for theBenchmark.p
% 2.65/2.12 % Elapsed time: 1.744538 seconds
% 2.65/2.12 % CPU time: 13.574050 seconds
% 2.65/2.12 % Total memory used: 194.599 MB
% 2.65/2.12 % Net memory used: 190.454 MB
%------------------------------------------------------------------------------