%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL010-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 02:03:33 PM UTC 2026
% Result : Unsatisfiable 9.79s 1.97s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL010-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.45 % Computer : n018.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Mon Sep 21 04:00:43 UTC 2026
% 0.20/0.45 % CPUTime :
% 0.20/0.47 % Drodi V4.1.1
% 9.79/1.97 % Refutation found
% 9.79/1.97 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 9.79/1.97 % SZS output start CNFRefutation for theBenchmark
% 9.79/1.97 fof(f1,axiom,(
% 9.79/1.97 (![A,B]: (join(A,B) = join(B,A) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f2,axiom,(
% 9.79/1.97 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f3,axiom,(
% 9.79/1.97 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f4,axiom,(
% 9.79/1.97 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f5,axiom,(
% 9.79/1.97 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f6,axiom,(
% 9.79/1.97 (![A]: (composition(A,one) = A ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f7,axiom,(
% 9.79/1.97 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f8,axiom,(
% 9.79/1.97 (![A]: (converse(converse(A)) = A ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f9,axiom,(
% 9.79/1.97 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f10,axiom,(
% 9.79/1.97 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f11,axiom,(
% 9.79/1.97 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f12,axiom,(
% 9.79/1.97 (![A]: (top = join(A,complement(A)) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f13,axiom,(
% 9.79/1.97 (![A]: (zero = meet(A,complement(A)) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f15,axiom,(
% 9.79/1.97 (![A,B,C]: (join(meet(composition(A,B),C),meet(composition(A,meet(B,composition(converse(A),C))),C)) = meet(composition(A,meet(B,composition(converse(A),C))),C) ))),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f17,negated_conjecture,(
% 9.79/1.97 meet(composition(sk1,sk2),sk3) = zero ),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f18,negated_conjecture,(
% 9.79/1.97 meet(sk2,composition(converse(sk1),sk3)) != zero ),
% 9.79/1.97 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 9.79/1.97 fof(f19,plain,(
% 9.79/1.97 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f1])).
% 9.79/1.97 fof(f20,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f2])).
% 9.79/1.97 fof(f21,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f3])).
% 9.79/1.97 fof(f22,plain,(
% 9.79/1.97 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f4])).
% 9.79/1.97 fof(f23,plain,(
% 9.79/1.97 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f5])).
% 9.79/1.97 fof(f24,plain,(
% 9.79/1.97 ![X0]: (composition(X0,one)=X0)),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f6])).
% 9.79/1.97 fof(f25,plain,(
% 9.79/1.97 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f7])).
% 9.79/1.97 fof(f26,plain,(
% 9.79/1.97 ![X0]: (converse(converse(X0))=X0)),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f8])).
% 9.79/1.97 fof(f27,plain,(
% 9.79/1.97 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f9])).
% 9.79/1.97 fof(f28,plain,(
% 9.79/1.97 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f10])).
% 9.79/1.97 fof(f29,plain,(
% 9.79/1.97 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f11])).
% 9.79/1.97 fof(f30,plain,(
% 9.79/1.97 ![X0]: (top=join(X0,complement(X0)))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f12])).
% 9.79/1.97 fof(f31,plain,(
% 9.79/1.97 ![X0]: (zero=meet(X0,complement(X0)))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f13])).
% 9.79/1.97 fof(f33,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f15])).
% 9.79/1.97 fof(f35,plain,(
% 9.79/1.97 meet(composition(sk1,sk2),sk3)=zero),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f17])).
% 9.79/1.97 fof(f36,plain,(
% 9.79/1.97 ~meet(sk2,composition(converse(sk1),sk3))=zero),
% 9.79/1.97 inference(cnf_transformation,[status(thm)],[f18])).
% 9.79/1.97 fof(f37,definition,(
% 9.79/1.97 sF2_fnc=converse(sk1)),
% 9.79/1.97 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 9.79/1.97 fof(f38,definition,(
% 9.79/1.97 sF1_fnc=composition(sF2_fnc,sk3)),
% 9.79/1.97 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 9.79/1.97 fof(f39,definition,(
% 9.79/1.97 sF0_fnc=meet(sk2,sF1_fnc)),
% 9.79/1.97 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 9.79/1.97 fof(f40,plain,(
% 9.79/1.97 ~sF0_fnc=zero),
% 9.79/1.97 inference(definition_folding,[],[f36,f39,f38,f37])).
% 9.79/1.97 fof(f41,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f21])).
% 9.79/1.97 fof(f42,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f22,f41])).
% 9.79/1.97 fof(f43,plain,(
% 9.79/1.97 ![X0,X1]: (join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))=complement(X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f29])).
% 9.79/1.97 fof(f44,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f42])).
% 9.79/1.97 fof(f46,plain,(
% 9.79/1.97 converse(sF2_fnc)=sk1),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f37,f26])).
% 9.79/1.97 fof(f52,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f19,f20])).
% 9.79/1.97 fof(f63,plain,(
% 9.79/1.97 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f30,f20])).
% 9.79/1.97 fof(f67,plain,(
% 9.79/1.97 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f24,f23])).
% 9.79/1.97 fof(f80,plain,(
% 9.79/1.97 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f30,f22])).
% 9.79/1.97 fof(f81,plain,(
% 9.79/1.97 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f19,f22])).
% 9.79/1.97 fof(f85,plain,(
% 9.79/1.97 ![X0,X1]: (top=join(join(complement(X0),complement(X1)),meet(X0,X1)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f22,f30])).
% 9.79/1.97 fof(f87,plain,(
% 9.79/1.97 zero=complement(top)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f31,f80])).
% 9.79/1.97 fof(f88,plain,(
% 9.79/1.97 ![X0,X1]: (top=join(complement(X0),join(complement(X1),meet(X0,X1))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f20,f85])).
% 9.79/1.97 fof(f91,plain,(
% 9.79/1.97 ![X0]: (meet(X0,top)=complement(join(complement(X0),zero)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f87,f22])).
% 9.79/1.97 fof(f95,plain,(
% 9.79/1.97 ![X0]: (meet(X0,top)=complement(join(zero,complement(X0))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f91])).
% 9.79/1.97 fof(f100,plain,(
% 9.79/1.97 ![X0]: (converse(composition(sF2_fnc,X0))=composition(converse(X0),sk1))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f46,f28])).
% 9.79/1.97 fof(f102,plain,(
% 9.79/1.97 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f26,f28])).
% 9.79/1.97 fof(f130,plain,(
% 9.79/1.97 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f26,f27])).
% 9.79/1.97 fof(f132,plain,(
% 9.79/1.97 ![X0]: (converse(join(X0,sk1))=join(converse(X0),sF2_fnc))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f37,f27])).
% 9.79/1.97 fof(f138,plain,(
% 9.79/1.97 ![X0]: (converse(join(X0,sk1))=join(sF2_fnc,converse(X0)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f132])).
% 9.79/1.97 fof(f164,plain,(
% 9.79/1.97 meet(top,top)=complement(join(zero,zero))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f87,f95])).
% 9.79/1.97 fof(f177,plain,(
% 9.79/1.97 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=complement(top))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f87,f43])).
% 9.79/1.97 fof(f191,plain,(
% 9.79/1.97 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=zero)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f87,f177])).
% 9.79/1.97 fof(f408,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2))=meet(composition(converse(X0),meet(X1,composition(converse(converse(X0)),X2))),X2))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f26,f33])).
% 9.79/1.97 fof(f448,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2))=meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f26,f408])).
% 9.79/1.97 fof(f475,plain,(
% 9.79/1.97 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f22,f81])).
% 9.79/1.97 fof(f498,plain,(
% 9.79/1.97 meet(sk3,composition(sk1,sk2))=zero),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f475,f35])).
% 9.79/1.97 fof(f505,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(meet(composition(converse(X0),X1),X2),meet(composition(converse(X0),meet(X1,composition(X0,X2))),X2))=meet(X2,composition(converse(X0),meet(X1,composition(X0,X2)))))),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f475,f448])).
% 9.79/1.97 fof(f547,plain,(
% 9.79/1.97 ![X0,X1,X2]: (join(meet(composition(converse(X0),X1),X2),meet(X2,composition(converse(X0),meet(X1,composition(X0,X2)))))=meet(X2,composition(converse(X0),meet(X1,composition(X0,X2)))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f475,f505])).
% 9.79/1.97 fof(f584,plain,(
% 9.79/1.97 ![X0]: (X0=join(zero,complement(join(complement(X0),complement(X0)))))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f31,f44])).
% 9.79/1.97 fof(f587,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f81,f44])).
% 9.79/1.97 fof(f591,plain,(
% 9.79/1.97 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f30,f44])).
% 9.79/1.97 fof(f604,plain,(
% 9.79/1.97 ![X0]: (X0=join(zero,meet(X0,X0)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f81,f584])).
% 9.79/1.97 fof(f605,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f587])).
% 9.79/1.97 fof(f609,plain,(
% 9.79/1.97 ![X0]: (X0=join(complement(top),meet(X0,complement(complement(X0)))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f591])).
% 9.79/1.97 fof(f610,plain,(
% 9.79/1.97 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f87,f609])).
% 9.79/1.97 fof(f621,plain,(
% 9.79/1.97 top=join(zero,meet(top,complement(zero)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f87,f610])).
% 9.79/1.97 fof(f643,plain,(
% 9.79/1.97 ![X0,X1]: (X0=join(meet(X1,X0),meet(complement(X1),X0)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f475,f605])).
% 9.79/1.97 fof(f645,plain,(
% 9.79/1.97 ![X0]: (X0=join(meet(top,X0),meet(X0,zero)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f87,f605])).
% 9.79/1.97 fof(f726,plain,(
% 9.79/1.97 ![X0]: (X0=join(meet(X0,top),meet(X0,zero)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f475,f645])).
% 9.79/1.97 fof(f763,plain,(
% 9.79/1.97 ![X0]: (X0=join(meet(X0,top),meet(zero,X0)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f475,f726])).
% 9.79/1.97 fof(f773,plain,(
% 9.79/1.97 complement(zero)=join(meet(complement(zero),top),zero)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f31,f763])).
% 9.79/1.97 fof(f780,plain,(
% 9.79/1.97 complement(zero)=join(zero,meet(complement(zero),top))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f773])).
% 9.79/1.97 fof(f781,plain,(
% 9.79/1.97 complement(zero)=join(zero,meet(top,complement(zero)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f475,f780])).
% 9.79/1.97 fof(f785,plain,(
% 9.79/1.97 complement(zero)=top),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f621,f781])).
% 9.79/1.97 fof(f842,plain,(
% 9.79/1.97 ![X0]: (zero=join(meet(zero,X0),complement(join(top,X0))))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f785,f44])).
% 9.79/1.97 fof(f1058,plain,(
% 9.79/1.97 ![X0]: (complement(complement(X0))=join(meet(X0,complement(complement(X0))),zero))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f31,f643])).
% 9.79/1.97 fof(f1074,plain,(
% 9.79/1.97 ![X0]: (complement(complement(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f1058])).
% 9.79/1.97 fof(f1085,plain,(
% 9.79/1.97 ![X0]: (complement(complement(X0))=X0)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f610,f1074])).
% 9.79/1.97 fof(f1100,plain,(
% 9.79/1.97 ![X0,X1]: (complement(meet(X0,X1))=join(complement(X0),complement(X1)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f22,f1085])).
% 9.79/1.97 fof(f1593,plain,(
% 9.79/1.97 complement(meet(top,top))=join(zero,zero)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f164,f1085])).
% 9.79/1.97 fof(f1912,plain,(
% 9.79/1.97 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f24,f102])).
% 9.79/1.97 fof(f1949,plain,(
% 9.79/1.97 ![X0]: (X0=composition(converse(one),X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f26,f1912])).
% 9.79/1.97 fof(f1987,plain,(
% 9.79/1.97 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f67,f1949])).
% 9.79/1.97 fof(f1988,plain,(
% 9.79/1.97 one=converse(one)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f24,f1949])).
% 9.79/1.97 fof(f1991,plain,(
% 9.79/1.97 ![X0]: (join(complement(X0),complement(composition(one,X0)))=complement(X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f1949,f43])).
% 9.79/1.97 fof(f2007,plain,(
% 9.79/1.97 ![X0,X1]: (composition(join(converse(one),X0),X1)=join(X1,composition(X0,X1)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f1949,f25])).
% 9.79/1.97 fof(f2020,plain,(
% 9.79/1.97 ![X0]: (composition(one,X0)=X0)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f1949,f1987])).
% 9.79/1.97 fof(f2026,plain,(
% 9.79/1.97 ![X0]: (complement(meet(X0,composition(one,X0)))=complement(X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f1100,f1991])).
% 9.79/1.97 fof(f2027,plain,(
% 9.79/1.97 complement(top)=join(zero,zero)),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f2028,f1593])).
% 9.79/1.97 fof(f2028,plain,(
% 9.79/1.97 ![X0]: (complement(meet(X0,X0))=complement(X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2020,f2026])).
% 9.79/1.97 fof(f2077,plain,(
% 9.79/1.97 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f1988,f2007])).
% 9.79/1.97 fof(f2105,plain,(
% 9.79/1.97 zero=join(zero,zero)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f87,f2027])).
% 9.79/1.97 fof(f2169,plain,(
% 9.79/1.97 converse(join(one,sk1))=join(sF2_fnc,one)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f1988,f138])).
% 9.79/1.97 fof(f2190,plain,(
% 9.79/1.97 converse(join(one,sk1))=join(one,sF2_fnc)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f2169])).
% 9.79/1.97 fof(f2236,plain,(
% 9.79/1.97 ![X0]: (join(zero,join(zero,X0))=join(X0,zero))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2105,f52])).
% 9.79/1.97 fof(f2380,plain,(
% 9.79/1.97 ![X0]: (complement(complement(X0))=meet(X0,X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2028,f1085])).
% 9.79/1.97 fof(f2393,plain,(
% 9.79/1.97 ![X0]: (X0=join(zero,X0))),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f2404,f604])).
% 9.79/1.97 fof(f2404,plain,(
% 9.79/1.97 ![X0]: (X0=meet(X0,X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f1085,f2380])).
% 9.79/1.97 fof(f2429,plain,(
% 9.79/1.97 ![X0]: (composition(converse(X0),complement(composition(X0,top)))=zero)),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f2393,f191])).
% 9.79/1.97 fof(f2430,plain,(
% 9.79/1.97 ![X0]: (join(zero,X0)=join(X0,zero))),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f2393,f2236])).
% 9.79/1.97 fof(f2459,plain,(
% 9.79/1.97 ![X0]: (X0=join(X0,zero))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2393,f2430])).
% 9.79/1.97 fof(f2518,plain,(
% 9.79/1.97 ![X0]: (top=join(complement(X0),join(complement(X0),X0)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2404,f88])).
% 9.79/1.97 fof(f2579,plain,(
% 9.79/1.97 ![X0]: (top=join(complement(X0),join(X0,complement(X0))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f52,f2518])).
% 9.79/1.97 fof(f2580,plain,(
% 9.79/1.97 ![X0]: (top=join(X0,join(complement(X0),complement(X0))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f52,f2579])).
% 9.79/1.97 fof(f2581,plain,(
% 9.79/1.97 ![X0]: (top=join(top,complement(X0)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f63,f2580])).
% 9.79/1.97 fof(f2690,plain,(
% 9.79/1.97 ![X0]: (top=join(top,X0))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f1085,f2581])).
% 9.79/1.97 fof(f2720,plain,(
% 9.79/1.97 ![X0]: (zero=join(meet(zero,X0),complement(top)))),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f2690,f842])).
% 9.79/1.97 fof(f2739,plain,(
% 9.79/1.97 ![X0]: (zero=join(complement(top),meet(zero,X0)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f2720])).
% 9.79/1.97 fof(f2740,plain,(
% 9.79/1.97 ![X0]: (zero=join(zero,meet(zero,X0)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f87,f2739])).
% 9.79/1.97 fof(f2753,plain,(
% 9.79/1.97 ![X0]: (zero=meet(zero,X0))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2393,f2740])).
% 9.79/1.97 fof(f3019,plain,(
% 9.79/1.97 ![X0]: (zero=meet(X0,zero))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f475,f2753])).
% 9.79/1.97 fof(f4021,plain,(
% 9.79/1.97 ![X0]: (converse(converse(X0))=join(X0,converse(zero)))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2459,f130])).
% 9.79/1.97 fof(f4070,plain,(
% 9.79/1.97 ![X0]: (X0=join(X0,converse(zero)))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f26,f4021])).
% 9.79/1.97 fof(f4102,plain,(
% 9.79/1.97 zero=converse(zero)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2393,f4070])).
% 9.79/1.97 fof(f4177,plain,(
% 9.79/1.97 ![X0]: (converse(composition(zero,X0))=composition(converse(X0),zero))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f4102,f102])).
% 9.79/1.97 fof(f4187,plain,(
% 9.79/1.97 converse(composition(sF2_fnc,zero))=composition(zero,sk1)),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f4102,f100])).
% 9.79/1.97 fof(f16985,plain,(
% 9.79/1.97 composition(join(one,sF2_fnc),complement(composition(join(one,sk1),top)))=zero),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f2190,f2429])).
% 9.79/1.97 fof(f17058,plain,(
% 9.79/1.97 composition(join(one,sF2_fnc),complement(join(top,composition(sk1,top))))=zero),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2077,f16985])).
% 9.79/1.97 fof(f17059,plain,(
% 9.79/1.97 composition(join(one,sF2_fnc),complement(top))=zero),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2690,f17058])).
% 9.79/1.97 fof(f17060,plain,(
% 9.79/1.97 composition(join(one,sF2_fnc),zero)=zero),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f87,f17059])).
% 9.79/1.97 fof(f17061,plain,(
% 9.79/1.97 join(zero,composition(sF2_fnc,zero))=zero),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2077,f17060])).
% 9.79/1.97 fof(f17063,plain,(
% 9.79/1.97 converse(zero)=composition(zero,sk1)),
% 9.79/1.97 inference(backward_demodulation,[status(thm)],[f17064,f4187])).
% 9.79/1.97 fof(f17064,plain,(
% 9.79/1.97 composition(sF2_fnc,zero)=zero),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2393,f17061])).
% 9.79/1.97 fof(f17245,plain,(
% 9.79/1.97 zero=composition(zero,sk1)),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f4102,f17063])).
% 9.79/1.97 fof(f17672,plain,(
% 9.79/1.97 join(meet(composition(converse(sk1),sk3),sk2),meet(sk2,composition(converse(sk1),zero)))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(paramodulation,[status(thm)],[f498,f547])).
% 9.79/1.97 fof(f17875,plain,(
% 9.79/1.97 join(meet(sk2,composition(converse(sk1),zero)),meet(composition(converse(sk1),sk3),sk2))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f19,f17672])).
% 9.79/1.97 fof(f17876,plain,(
% 9.79/1.97 join(meet(sk2,converse(composition(zero,sk1))),meet(composition(converse(sk1),sk3),sk2))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f4177,f17875])).
% 9.79/1.97 fof(f17877,plain,(
% 9.79/1.97 join(meet(sk2,converse(zero)),meet(composition(converse(sk1),sk3),sk2))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f17245,f17876])).
% 9.79/1.97 fof(f17878,plain,(
% 9.79/1.97 join(meet(sk2,zero),meet(composition(converse(sk1),sk3),sk2))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f4102,f17877])).
% 9.79/1.97 fof(f17879,plain,(
% 9.79/1.97 join(zero,meet(composition(converse(sk1),sk3),sk2))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f3019,f17878])).
% 9.79/1.97 fof(f17880,plain,(
% 9.79/1.97 meet(composition(converse(sk1),sk3),sk2)=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f2393,f17879])).
% 9.79/1.97 fof(f17881,plain,(
% 9.79/1.97 meet(sk2,composition(converse(sk1),sk3))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f475,f17880])).
% 9.79/1.97 fof(f17882,plain,(
% 9.79/1.97 meet(sk2,composition(sF2_fnc,sk3))=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/1.97 inference(forward_demodulation,[status(thm)],[f37,f17881])).
% 9.79/2.02 fof(f17883,plain,(
% 9.79/2.02 meet(sk2,sF1_fnc)=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f38,f17882])).
% 9.79/2.02 fof(f17884,plain,(
% 9.79/2.02 sF0_fnc=meet(sk2,composition(converse(sk1),meet(sk3,composition(sk1,sk2))))),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f39,f17883])).
% 9.79/2.02 fof(f17885,plain,(
% 9.79/2.02 sF0_fnc=meet(sk2,composition(sF2_fnc,meet(sk3,composition(sk1,sk2))))),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f37,f17884])).
% 9.79/2.02 fof(f17886,plain,(
% 9.79/2.02 sF0_fnc=meet(sk2,composition(sF2_fnc,zero))),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f498,f17885])).
% 9.79/2.02 fof(f17887,plain,(
% 9.79/2.02 sF0_fnc=meet(sk2,zero)),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f17064,f17886])).
% 9.79/2.02 fof(f17888,plain,(
% 9.79/2.02 sF0_fnc=zero),
% 9.79/2.02 inference(forward_demodulation,[status(thm)],[f3019,f17887])).
% 9.79/2.02 fof(f17889,plain,(
% 9.79/2.02 $false),
% 9.79/2.02 inference(forward_subsumption_resolution,[status(thm)],[f17888,f40])).
% 9.79/2.02 % SZS output end CNFRefutation for theBenchmark.p
% 9.79/2.05 % Elapsed time: 1.576168 seconds
% 9.79/2.05 % CPU time: 12.085450 seconds
% 9.79/2.05 % Total memory used: 168.397 MB
% 9.79/2.05 % Net memory used: 165.614 MB
%------------------------------------------------------------------------------