%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL050-3 : 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 : n020.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 02:03:46 PM UTC 2026
% Result : Unsatisfiable 30.23s 4.28s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL050-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.34 % Computer : n020.cluster.edu
% 0.07/0.34 % Model : x86_64 x86_64
% 0.07/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.34 % Memory : 8046.5625MB
% 0.07/0.34 % OS : Linux 6.8.0-71-generic
% 0.07/0.34 % CPULimit : 300
% 0.07/0.34 % WCLimit : 300
% 0.07/0.34 % DateTime : Mon Sep 21 04:09:47 UTC 2026
% 0.07/0.34 % CPUTime :
% 0.07/0.36 % Drodi V4.1.1
% 30.23/4.28 % Refutation found
% 30.23/4.28 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 30.23/4.28 % SZS output start CNFRefutation for theBenchmark
% 30.23/4.28 fof(f1,axiom,(
% 30.23/4.28 (![A,B]: (join(A,B) = join(B,A) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f2,axiom,(
% 30.23/4.28 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f3,axiom,(
% 30.23/4.28 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f4,axiom,(
% 30.23/4.28 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f5,axiom,(
% 30.23/4.28 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f6,axiom,(
% 30.23/4.28 (![A]: (composition(A,one) = A ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f7,axiom,(
% 30.23/4.28 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f8,axiom,(
% 30.23/4.28 (![A]: (converse(converse(A)) = A ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f9,axiom,(
% 30.23/4.28 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f10,axiom,(
% 30.23/4.28 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f11,axiom,(
% 30.23/4.28 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f12,axiom,(
% 30.23/4.28 (![A]: (top = join(A,complement(A)) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f13,axiom,(
% 30.23/4.28 (![A]: (zero = meet(A,complement(A)) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f15,axiom,(
% 30.23/4.28 (![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) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f16,axiom,(
% 30.23/4.28 (![A,B,C]: (join(meet(composition(A,B),C),meet(composition(meet(A,composition(C,converse(B))),B),C)) = meet(composition(meet(A,composition(C,converse(B))),B),C) ))),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f17,negated_conjecture,(
% 30.23/4.28 complement(composition(sk1,top)) != composition(complement(composition(sk1,top)),top) ),
% 30.23/4.28 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 30.23/4.28 fof(f18,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f1])).
% 30.23/4.28 fof(f19,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f2])).
% 30.23/4.28 fof(f20,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f3])).
% 30.23/4.28 fof(f21,plain,(
% 30.23/4.28 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f4])).
% 30.23/4.28 fof(f22,plain,(
% 30.23/4.28 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f5])).
% 30.23/4.28 fof(f23,plain,(
% 30.23/4.28 ![X0]: (composition(X0,one)=X0)),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f6])).
% 30.23/4.28 fof(f24,plain,(
% 30.23/4.28 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f7])).
% 30.23/4.28 fof(f25,plain,(
% 30.23/4.28 ![X0]: (converse(converse(X0))=X0)),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f8])).
% 30.23/4.28 fof(f26,plain,(
% 30.23/4.28 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f9])).
% 30.23/4.28 fof(f27,plain,(
% 30.23/4.28 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f10])).
% 30.23/4.28 fof(f28,plain,(
% 30.23/4.28 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f11])).
% 30.23/4.28 fof(f29,plain,(
% 30.23/4.28 ![X0]: (top=join(X0,complement(X0)))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f12])).
% 30.23/4.28 fof(f30,plain,(
% 30.23/4.28 ![X0]: (zero=meet(X0,complement(X0)))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f13])).
% 30.23/4.28 fof(f32,plain,(
% 30.23/4.28 ![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))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f15])).
% 30.23/4.28 fof(f33,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f16])).
% 30.23/4.28 fof(f34,plain,(
% 30.23/4.28 ~complement(composition(sk1,top))=composition(complement(composition(sk1,top)),top)),
% 30.23/4.28 inference(cnf_transformation,[status(thm)],[f17])).
% 30.23/4.28 fof(f35,definition,(
% 30.23/4.28 sF1_fnc=composition(sk1,top)),
% 30.23/4.28 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 30.23/4.28 fof(f36,definition,(
% 30.23/4.28 sF0_fnc=complement(sF1_fnc)),
% 30.23/4.28 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 30.23/4.28 fof(f37,definition,(
% 30.23/4.28 sF3_fnc=complement(sF1_fnc)),
% 30.23/4.28 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 30.23/4.28 fof(f38,definition,(
% 30.23/4.28 sF2_fnc=composition(sF3_fnc,top)),
% 30.23/4.28 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 30.23/4.28 fof(f39,plain,(
% 30.23/4.28 ~sF0_fnc=sF2_fnc),
% 30.23/4.28 inference(definition_folding,[],[f34,f38,f37,f36,f35])).
% 30.23/4.28 fof(f40,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f20])).
% 30.23/4.28 fof(f41,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f21,f40])).
% 30.23/4.28 fof(f42,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))=complement(X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f28])).
% 30.23/4.28 fof(f43,plain,(
% 30.23/4.28 sF3_fnc=sF0_fnc),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f36,f37])).
% 30.23/4.28 fof(f44,plain,(
% 30.23/4.28 sF2_fnc=composition(sF0_fnc,top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f43,f38])).
% 30.23/4.28 fof(f45,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f41])).
% 30.23/4.28 fof(f46,plain,(
% 30.23/4.28 ![X0,X1,X2]: (meet(join(complement(X0),complement(X1)),X2)=complement(join(meet(X0,X1),complement(X2))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f21,f21])).
% 30.23/4.28 fof(f47,plain,(
% 30.23/4.28 ![X0]: (meet(sF1_fnc,X0)=complement(join(sF0_fnc,complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f36,f21])).
% 30.23/4.28 fof(f49,plain,(
% 30.23/4.28 ![X0]: (meet(X0,sF1_fnc)=complement(join(complement(X0),sF0_fnc)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f36,f21])).
% 30.23/4.28 fof(f50,plain,(
% 30.23/4.28 ![X0]: (meet(X0,sF1_fnc)=complement(join(sF0_fnc,complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f49])).
% 30.23/4.28 fof(f51,plain,(
% 30.23/4.28 ![X0,X1]: (top=join(join(complement(X0),complement(X1)),meet(X0,X1)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f21,f29])).
% 30.23/4.28 fof(f53,plain,(
% 30.23/4.28 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f29,f21])).
% 30.23/4.28 fof(f54,plain,(
% 30.23/4.28 ![X0,X1]: (top=join(complement(X0),join(complement(X1),meet(X0,X1))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f19,f51])).
% 30.23/4.28 fof(f56,plain,(
% 30.23/4.28 zero=complement(top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f30,f53])).
% 30.23/4.28 fof(f57,plain,(
% 30.23/4.28 top=join(top,zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f29])).
% 30.23/4.28 fof(f58,plain,(
% 30.23/4.28 ![X0]: (meet(X0,top)=complement(join(complement(X0),zero)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f21])).
% 30.23/4.28 fof(f59,plain,(
% 30.23/4.28 ![X0]: (meet(top,X0)=complement(join(zero,complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f21])).
% 30.23/4.28 fof(f60,plain,(
% 30.23/4.28 ![X0]: (meet(X0,top)=complement(join(zero,complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f58])).
% 30.23/4.28 fof(f62,plain,(
% 30.23/4.28 ![X0]: (composition(sF0_fnc,composition(top,X0))=composition(sF2_fnc,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f44,f22])).
% 30.23/4.28 fof(f93,plain,(
% 30.23/4.28 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=complement(top))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f42])).
% 30.23/4.28 fof(f100,plain,(
% 30.23/4.28 join(complement(top),composition(converse(sF0_fnc),complement(sF2_fnc)))=complement(top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f44,f42])).
% 30.23/4.28 fof(f102,plain,(
% 30.23/4.28 join(complement(top),composition(converse(sk1),complement(sF1_fnc)))=complement(top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f35,f42])).
% 30.23/4.28 fof(f103,plain,(
% 30.23/4.28 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f93])).
% 30.23/4.28 fof(f108,plain,(
% 30.23/4.28 join(zero,composition(converse(sF0_fnc),complement(sF2_fnc)))=complement(top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f100])).
% 30.23/4.28 fof(f109,plain,(
% 30.23/4.28 join(zero,composition(converse(sF0_fnc),complement(sF2_fnc)))=zero),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f108])).
% 30.23/4.28 fof(f110,plain,(
% 30.23/4.28 join(zero,composition(converse(sk1),complement(sF1_fnc)))=complement(top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f102])).
% 30.23/4.28 fof(f111,plain,(
% 30.23/4.28 join(zero,composition(converse(sk1),sF0_fnc))=complement(top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f36,f110])).
% 30.23/4.28 fof(f112,plain,(
% 30.23/4.28 join(zero,composition(converse(sk1),sF0_fnc))=zero),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f111])).
% 30.23/4.28 fof(f120,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(complement(X0),complement(X1))=join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f21,f45])).
% 30.23/4.28 fof(f129,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(complement(X0),complement(X1))=join(complement(join(meet(X0,X1),X2)),meet(join(complement(X0),complement(X1)),X2)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f120])).
% 30.23/4.28 fof(f130,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(complement(X0),complement(X1))=join(complement(join(meet(X0,X1),X2)),complement(join(meet(X0,X1),complement(X2)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f46,f129])).
% 30.23/4.28 fof(f138,plain,(
% 30.23/4.28 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f23,f22])).
% 30.23/4.28 fof(f146,plain,(
% 30.23/4.28 ![X0]: (X0=join(zero,complement(join(complement(X0),complement(X0)))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f30,f45])).
% 30.23/4.28 fof(f150,plain,(
% 30.23/4.28 ![X0]: (X0=join(zero,meet(X0,X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f21,f146])).
% 30.23/4.28 fof(f158,plain,(
% 30.23/4.28 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f21])).
% 30.23/4.28 fof(f159,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f45])).
% 30.23/4.28 fof(f199,plain,(
% 30.23/4.28 ![X0,X1]: (converse(composition(X0,converse(X1)))=composition(X1,converse(X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f25,f27])).
% 30.23/4.28 fof(f200,plain,(
% 30.23/4.28 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f25,f27])).
% 30.23/4.28 fof(f204,plain,(
% 30.23/4.28 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f26])).
% 30.23/4.28 fof(f207,plain,(
% 30.23/4.28 ![X0,X1]: (converse(join(X0,converse(X1)))=join(converse(X0),X1))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f25,f26])).
% 30.23/4.28 fof(f223,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f29,f19])).
% 30.23/4.28 fof(f224,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f19])).
% 30.23/4.28 fof(f236,plain,(
% 30.23/4.28 ![X0]: (join(top,join(zero,X0))=join(top,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f57,f19])).
% 30.23/4.28 fof(f238,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f29,f19])).
% 30.23/4.28 fof(f239,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f19])).
% 30.23/4.28 fof(f332,plain,(
% 30.23/4.28 ![X0]: (meet(X0,sF1_fnc)=meet(sF1_fnc,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f47,f50])).
% 30.23/4.28 fof(f388,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(sF1_fnc,X0),complement(join(complement(X0),sF1_fnc))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f332,f45])).
% 30.23/4.28 fof(f395,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(sF1_fnc,X0),complement(join(sF1_fnc,complement(X0)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f388])).
% 30.23/4.28 fof(f434,plain,(
% 30.23/4.28 ![X0]: (join(top,X0)=join(top,meet(X0,X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f150,f236])).
% 30.23/4.28 fof(f509,plain,(
% 30.23/4.28 ![X0,X1]: (meet(join(zero,complement(X0)),X1)=complement(join(meet(top,X0),complement(X1))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f46])).
% 30.23/4.28 fof(f685,plain,(
% 30.23/4.28 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f23,f200])).
% 30.23/4.28 fof(f705,plain,(
% 30.23/4.28 ![X0]: (X0=composition(converse(one),X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f25,f685])).
% 30.23/4.28 fof(f724,plain,(
% 30.23/4.28 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f138,f705])).
% 30.23/4.28 fof(f725,plain,(
% 30.23/4.28 one=converse(one)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f23,f705])).
% 30.23/4.28 fof(f728,plain,(
% 30.23/4.28 ![X0]: (join(complement(X0),complement(composition(one,X0)))=complement(X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f705,f42])).
% 30.23/4.28 fof(f738,plain,(
% 30.23/4.28 ![X0,X1]: (composition(join(converse(one),X0),X1)=join(X1,composition(X0,X1)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f705,f24])).
% 30.23/4.28 fof(f747,plain,(
% 30.23/4.28 ![X0]: (composition(one,X0)=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f705,f724])).
% 30.23/4.28 fof(f766,plain,(
% 30.23/4.28 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f747,f728])).
% 30.23/4.28 fof(f791,plain,(
% 30.23/4.28 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f725,f738])).
% 30.23/4.28 fof(f853,plain,(
% 30.23/4.28 ![X0]: (converse(join(one,X0))=join(converse(X0),one))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f725,f204])).
% 30.23/4.28 fof(f866,plain,(
% 30.23/4.28 ![X0]: (converse(join(one,X0))=join(one,converse(X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f853])).
% 30.23/4.28 fof(f921,plain,(
% 30.23/4.28 join(zero,complement(top))=complement(top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f766])).
% 30.23/4.28 fof(f926,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,X1),complement(join(complement(X0),complement(X1))))=complement(join(complement(X0),complement(X1))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f21,f766])).
% 30.23/4.28 fof(f937,plain,(
% 30.23/4.28 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f766,f21])).
% 30.23/4.28 fof(f938,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(X0,complement(X0)),complement(complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f766,f45])).
% 30.23/4.28 fof(f940,plain,(
% 30.23/4.28 join(zero,zero)=complement(top)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f921])).
% 30.23/4.28 fof(f942,plain,(
% 30.23/4.28 join(zero,zero)=zero),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f940])).
% 30.23/4.28 fof(f952,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,X1),meet(X0,X1))=complement(join(complement(X0),complement(X1))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f21,f926])).
% 30.23/4.28 fof(f957,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,X1),meet(X0,X1))=meet(X0,X1))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f21,f952])).
% 30.23/4.28 fof(f982,plain,(
% 30.23/4.28 ![X0]: (join(top,X0)=join(top,complement(complement(X0))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f937,f434])).
% 30.23/4.28 fof(f988,plain,(
% 30.23/4.28 ![X0]: (X0=join(complement(complement(X0)),meet(X0,complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f938])).
% 30.23/4.28 fof(f989,plain,(
% 30.23/4.28 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f30,f988])).
% 30.23/4.28 fof(f990,plain,(
% 30.23/4.28 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f989])).
% 30.23/4.28 fof(f993,plain,(
% 30.23/4.28 ![X0]: (join(zero,join(zero,X0))=join(zero,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f942,f19])).
% 30.23/4.28 fof(f1239,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(meet(X0,join(complement(X1),meet(X0,X1))),complement(top)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f54,f45])).
% 30.23/4.28 fof(f1266,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(complement(top),meet(X0,join(complement(X1),meet(X0,X1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f1239])).
% 30.23/4.28 fof(f1267,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(zero,meet(X0,join(complement(X1),meet(X0,X1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f1266])).
% 30.23/4.28 fof(f1324,plain,(
% 30.23/4.28 ![X0]: (meet(complement(X0),top)=complement(X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f990,f60])).
% 30.23/4.28 fof(f1344,plain,(
% 30.23/4.28 ![X0]: (complement(X0)=join(complement(X0),complement(join(complement(complement(X0)),top))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f1324,f45])).
% 30.23/4.28 fof(f1361,plain,(
% 30.23/4.28 ![X0]: (complement(X0)=join(complement(X0),complement(join(top,complement(complement(X0))))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f1344])).
% 30.23/4.28 fof(f1362,plain,(
% 30.23/4.28 ![X0]: (complement(X0)=join(complement(X0),complement(join(top,X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f982,f1361])).
% 30.23/4.28 fof(f2240,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(join(meet(X0,X1),top)),complement(join(meet(X0,X1),zero))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f56,f130])).
% 30.23/4.28 fof(f2395,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(join(top,meet(X0,X1))),complement(join(meet(X0,X1),zero))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f2240])).
% 30.23/4.28 fof(f2396,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(join(top,meet(X0,X1))),complement(join(zero,meet(X0,X1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f2395])).
% 30.23/4.28 fof(f2687,plain,(
% 30.23/4.28 ![X0]: (join(zero,X0)=join(zero,complement(complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f990,f993])).
% 30.23/4.28 fof(f2689,plain,(
% 30.23/4.28 join(zero,zero)=join(zero,composition(converse(sF0_fnc),complement(sF2_fnc)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f109,f993])).
% 30.23/4.28 fof(f2690,plain,(
% 30.23/4.28 join(zero,zero)=join(zero,composition(converse(sk1),sF0_fnc))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f112,f993])).
% 30.23/4.28 fof(f2697,plain,(
% 30.23/4.28 ![X0]: (join(zero,join(X0,zero))=join(zero,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f993])).
% 30.23/4.28 fof(f2708,plain,(
% 30.23/4.28 ![X0]: (X0=complement(complement(X0)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f990])).
% 30.23/4.28 fof(f2710,plain,(
% 30.23/4.28 ![X0]: (meet(top,X0)=complement(complement(X0)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f59])).
% 30.23/4.28 fof(f2731,plain,(
% 30.23/4.28 ![X0,X1]: (X0=meet(X0,join(complement(X1),meet(X0,X1))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f1267])).
% 30.23/4.28 fof(f2735,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(join(top,meet(X0,X1))),complement(meet(X0,X1))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f2396])).
% 30.23/4.28 fof(f2745,plain,(
% 30.23/4.28 ![X0]: (composition(converse(X0),complement(composition(X0,top)))=zero)),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f103])).
% 30.23/4.28 fof(f2804,plain,(
% 30.23/4.28 ![X0,X1]: (meet(complement(X0),X1)=complement(join(meet(top,X0),complement(X1))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f2815,f509])).
% 30.23/4.28 fof(f2815,plain,(
% 30.23/4.28 ![X0]: (join(zero,X0)=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f990,f2687])).
% 30.23/4.28 fof(f2831,plain,(
% 30.23/4.28 zero=join(zero,composition(converse(sF0_fnc),complement(sF2_fnc)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f942,f2689])).
% 30.23/4.28 fof(f2834,plain,(
% 30.23/4.28 zero=composition(converse(sF0_fnc),complement(sF2_fnc))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f2831])).
% 30.23/4.28 fof(f2835,plain,(
% 30.23/4.28 zero=join(zero,composition(converse(sk1),sF0_fnc))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f942,f2690])).
% 30.23/4.28 fof(f2839,plain,(
% 30.23/4.28 zero=composition(converse(sk1),sF0_fnc)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f2835])).
% 30.23/4.28 fof(f2863,plain,(
% 30.23/4.28 ![X0]: (join(X0,zero)=join(zero,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f2697])).
% 30.23/4.28 fof(f2867,plain,(
% 30.23/4.28 ![X0]: (join(X0,zero)=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f2863])).
% 30.23/4.28 fof(f2931,plain,(
% 30.23/4.28 ![X0]: (meet(top,X0)=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2708,f2710])).
% 30.23/4.28 fof(f2976,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(meet(X0,X1)),complement(join(top,meet(X0,X1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f2735])).
% 30.23/4.28 fof(f2999,plain,(
% 30.23/4.28 ![X0]: (complement(X0)=complement(meet(X0,join(top,X0))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3017,f1362])).
% 30.23/4.28 fof(f3016,plain,(
% 30.23/4.28 ![X0,X1]: (meet(X0,X1)=complement(complement(meet(X1,X0))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3017,f158])).
% 30.23/4.28 fof(f3017,plain,(
% 30.23/4.28 ![X0,X1]: (join(complement(X0),complement(X1))=complement(meet(X0,X1)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f1362,f2976])).
% 30.23/4.28 fof(f3131,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(sF1_fnc,X0),meet(complement(sF1_fnc),X0)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3145,f395])).
% 30.23/4.28 fof(f3144,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(meet(X0,X1),meet(complement(X1),X0)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3145,f159])).
% 30.23/4.28 fof(f3145,plain,(
% 30.23/4.28 ![X0,X1]: (meet(complement(X0),X1)=complement(join(X0,complement(X1))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2931,f2804])).
% 30.23/4.28 fof(f3290,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(composition(meet(X0,composition(X2,converse(X1))),X1),X2))=meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3343,f33])).
% 30.23/4.28 fof(f3291,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(composition(X0,meet(X1,composition(converse(X0),X2))),X2))=meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f3343,f32])).
% 30.23/4.28 fof(f3343,plain,(
% 30.23/4.28 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2708,f3016])).
% 30.23/4.28 fof(f3346,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(sF1_fnc,X0),meet(sF0_fnc,X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f36,f3131])).
% 30.23/4.28 fof(f3347,plain,(
% 30.23/4.28 ![X0]: (X0=join(meet(sF0_fnc,X0),meet(sF1_fnc,X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f3346])).
% 30.23/4.28 fof(f3353,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))=meet(X2,composition(meet(X0,composition(X2,converse(X1))),X1)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f3290])).
% 30.23/4.28 fof(f3354,plain,(
% 30.23/4.28 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))=meet(X2,composition(X0,meet(X1,composition(converse(X0),X2)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f3291])).
% 30.23/4.28 fof(f3491,plain,(
% 30.23/4.28 top=complement(zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f29,f2815])).
% 30.23/4.28 fof(f3495,plain,(
% 30.23/4.28 ![X0]: (converse(converse(X0))=join(converse(zero),X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2815,f207])).
% 30.23/4.28 fof(f3508,plain,(
% 30.23/4.28 ![X0]: (X0=join(converse(zero),X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f25,f3495])).
% 30.23/4.28 fof(f3789,plain,(
% 30.23/4.28 zero=converse(zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2867,f3508])).
% 30.23/4.28 fof(f3820,plain,(
% 30.23/4.28 ![X0]: (converse(composition(zero,X0))=composition(converse(X0),zero))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f3789,f200])).
% 30.23/4.28 fof(f3898,plain,(
% 30.23/4.28 converse(zero)=composition(converse(sF0_fnc),sk1)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2839,f200])).
% 30.23/4.28 fof(f3911,plain,(
% 30.23/4.28 zero=composition(converse(sF0_fnc),sk1)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3789,f3898])).
% 30.23/4.28 fof(f3931,plain,(
% 30.23/4.28 ![X0]: (join(meet(composition(sF0_fnc,X0),sk1),meet(sk1,composition(sF0_fnc,meet(X0,zero))))=meet(sk1,composition(sF0_fnc,meet(X0,composition(converse(sF0_fnc),sk1)))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f3911,f3354])).
% 30.23/4.28 fof(f3943,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,composition(sF0_fnc,meet(X0,zero))))=meet(sk1,composition(sF0_fnc,meet(X0,composition(converse(sF0_fnc),sk1)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f3931])).
% 30.23/4.28 fof(f3944,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,composition(sF0_fnc,meet(X0,zero))))=meet(sk1,composition(sF0_fnc,meet(X0,zero))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3911,f3943])).
% 30.23/4.28 fof(f4182,plain,(
% 30.23/4.28 ![X0]: (join(meet(composition(sF0_fnc,X0),complement(sF2_fnc)),meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,zero))))=meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,composition(converse(sF0_fnc),complement(sF2_fnc))))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2834,f3354])).
% 30.23/4.28 fof(f4199,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,zero))))=meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,composition(converse(sF0_fnc),complement(sF2_fnc))))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f4182])).
% 30.23/4.28 fof(f4200,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,zero))))=meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,zero))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2834,f4199])).
% 30.23/4.28 fof(f4437,plain,(
% 30.23/4.28 ![X0,X1]: (X0=join(meet(X1,X0),meet(complement(X1),X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f3343,f3144])).
% 30.23/4.28 fof(f4611,plain,(
% 30.23/4.28 ![X0]: (meet(X0,join(top,X0))=complement(complement(X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2999,f2708])).
% 30.23/4.28 fof(f4659,plain,(
% 30.23/4.28 ![X0]: (meet(X0,join(top,X0))=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2708,f4611])).
% 30.23/4.28 fof(f4945,plain,(
% 30.23/4.28 ![X0]: (meet(X0,join(X0,top))=X0)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f4659])).
% 30.23/4.28 fof(f5036,plain,(
% 30.23/4.28 ![X0]: (top=join(complement(X0),join(complement(join(X0,top)),X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f4945,f54])).
% 30.23/4.28 fof(f5105,plain,(
% 30.23/4.28 ![X0]: (top=join(X0,join(complement(X0),complement(join(X0,top)))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f224,f5036])).
% 30.23/4.28 fof(f5106,plain,(
% 30.23/4.28 ![X0]: (top=join(top,complement(join(X0,top))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f238,f5105])).
% 30.23/4.28 fof(f5113,plain,(
% 30.23/4.28 ![X0]: (join(X0,top)=top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f5106,f223])).
% 30.23/4.28 fof(f5133,plain,(
% 30.23/4.28 ![X0]: (join(top,X0)=top)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18,f5113])).
% 30.23/4.28 fof(f6661,plain,(
% 30.23/4.28 ![X0]: (join(complement(X0),top)=complement(meet(X0,zero)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f3491,f3017])).
% 30.23/4.28 fof(f6695,plain,(
% 30.23/4.28 ![X0]: (top=complement(meet(X0,zero)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f5113,f6661])).
% 30.23/4.28 fof(f6748,plain,(
% 30.23/4.28 ![X0]: (meet(X0,zero)=complement(top))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f6695,f2708])).
% 30.23/4.28 fof(f6784,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),composition(sF0_fnc,meet(X0,zero))))=meet(complement(sF2_fnc),composition(sF0_fnc,zero)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f6791,f4200])).
% 30.23/4.28 fof(f6786,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,composition(sF0_fnc,meet(X0,zero))))=meet(sk1,composition(sF0_fnc,zero)))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f6791,f3944])).
% 30.23/4.28 fof(f6791,plain,(
% 30.23/4.28 ![X0]: (meet(X0,zero)=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f6748])).
% 30.23/4.28 fof(f6812,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),composition(sF0_fnc,zero)))=meet(complement(sF2_fnc),composition(sF0_fnc,zero)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f6784])).
% 30.23/4.28 fof(f6814,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,composition(sF0_fnc,zero)))=meet(sk1,composition(sF0_fnc,zero)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f6786])).
% 30.23/4.28 fof(f9834,plain,(
% 30.23/4.28 ![X0,X1]: (X0=meet(X0,join(X1,meet(X0,complement(X1)))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2708,f2731])).
% 30.23/4.28 fof(f12684,plain,(
% 30.23/4.28 ![X0]: (join(X0,meet(top,X0))=meet(top,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f2931,f957])).
% 30.23/4.28 fof(f12762,plain,(
% 30.23/4.28 ![X0]: (join(X0,X0)=meet(top,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2931,f12684])).
% 30.23/4.28 fof(f12769,plain,(
% 30.23/4.28 ![X0]: (join(X0,X0)=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2931,f12762])).
% 30.23/4.28 fof(f12877,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f224,f12769])).
% 30.23/4.28 fof(f12923,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f239,f12877])).
% 30.23/4.28 fof(f12935,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f12769,f12923])).
% 30.23/4.28 fof(f13019,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,X1),X1)=join(meet(complement(X0),X1),meet(X0,X1)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f4437,f12935])).
% 30.23/4.28 fof(f13020,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,X1),X0)=join(meet(complement(X1),X0),meet(X0,X1)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f3144,f12935])).
% 30.23/4.28 fof(f13168,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X1,X0))=join(meet(complement(X1),X0),meet(X1,X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f13019])).
% 30.23/4.28 fof(f13169,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X1,X0))=join(meet(X1,X0),meet(complement(X1),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f13168])).
% 30.23/4.28 fof(f13174,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f4437,f13169])).
% 30.23/4.28 fof(f13175,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X0,X1))=join(meet(complement(X1),X0),meet(X0,X1)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f13020])).
% 30.23/4.28 fof(f13176,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X0,X1))=join(meet(X0,X1),meet(complement(X1),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f13175])).
% 30.23/4.28 fof(f13201,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,meet(X0,X1))=X0)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3144,f13176])).
% 30.23/4.28 fof(f13362,plain,(
% 30.23/4.28 ![X0,X1]: (join(join(X0,meet(X1,complement(X0))),X1)=join(X0,meet(X1,complement(X0))))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f9834,f13174])).
% 30.23/4.28 fof(f13514,plain,(
% 30.23/4.28 ![X0,X1]: (join(meet(X0,complement(X1)),join(X1,X0))=join(X1,meet(X0,complement(X1))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f239,f13362])).
% 30.23/4.28 fof(f13515,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,join(X1,meet(X1,complement(X0))))=join(X0,meet(X1,complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f224,f13514])).
% 30.23/4.28 fof(f13527,plain,(
% 30.23/4.28 ![X0,X1]: (join(X0,X1)=join(X0,meet(X1,complement(X0))))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f13201,f13515])).
% 30.23/4.28 fof(f17090,plain,(
% 30.23/4.28 ![X0]: (composition(join(one,converse(X0)),complement(composition(join(one,X0),top)))=zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f866,f2745])).
% 30.23/4.28 fof(f17152,plain,(
% 30.23/4.28 ![X0]: (composition(join(one,converse(X0)),complement(join(top,composition(X0,top))))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f791,f17090])).
% 30.23/4.28 fof(f17153,plain,(
% 30.23/4.28 ![X0]: (composition(join(one,converse(X0)),complement(top))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f5133,f17152])).
% 30.23/4.28 fof(f17154,plain,(
% 30.23/4.28 ![X0]: (composition(join(one,converse(X0)),zero)=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f56,f17153])).
% 30.23/4.28 fof(f17155,plain,(
% 30.23/4.28 ![X0]: (join(zero,composition(converse(X0),zero))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f791,f17154])).
% 30.23/4.28 fof(f17160,plain,(
% 30.23/4.28 ![X0]: (converse(composition(zero,X0))=zero)),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f17161,f3820])).
% 30.23/4.28 fof(f17161,plain,(
% 30.23/4.28 ![X0]: (composition(converse(X0),zero)=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f17155])).
% 30.23/4.28 fof(f17318,plain,(
% 30.23/4.28 ![X0]: (composition(X0,converse(zero))=zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f199,f17160])).
% 30.23/4.28 fof(f17367,plain,(
% 30.23/4.28 ![X0]: (converse(zero)=composition(zero,X0))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f17160,f25])).
% 30.23/4.28 fof(f17370,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,composition(sF0_fnc,zero)))=meet(sk1,zero))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f17418,f6814])).
% 30.23/4.28 fof(f17371,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),composition(sF0_fnc,zero)))=meet(complement(sF2_fnc),zero))),
% 30.23/4.28 inference(backward_demodulation,[status(thm)],[f17418,f6812])).
% 30.23/4.28 fof(f17418,plain,(
% 30.23/4.28 ![X0]: (composition(X0,zero)=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3789,f17318])).
% 30.23/4.28 fof(f17605,plain,(
% 30.23/4.28 ![X0]: (zero=composition(zero,X0))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3789,f17367])).
% 30.23/4.28 fof(f17612,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,composition(sF0_fnc,X0)),meet(sk1,zero))=meet(sk1,zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f17418,f17370])).
% 30.23/4.28 fof(f17613,plain,(
% 30.23/4.28 ![X0]: (join(meet(sk1,zero),meet(sk1,composition(sF0_fnc,X0)))=meet(sk1,zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f17612])).
% 30.23/4.28 fof(f17614,plain,(
% 30.23/4.28 ![X0]: (join(zero,meet(sk1,composition(sF0_fnc,X0)))=meet(sk1,zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f17613])).
% 30.23/4.28 fof(f17615,plain,(
% 30.23/4.28 ![X0]: (meet(sk1,composition(sF0_fnc,X0))=meet(sk1,zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f17614])).
% 30.23/4.28 fof(f17616,plain,(
% 30.23/4.28 ![X0]: (meet(sk1,composition(sF0_fnc,X0))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f17615])).
% 30.23/4.28 fof(f17617,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),composition(sF0_fnc,X0)),meet(complement(sF2_fnc),zero))=meet(complement(sF2_fnc),zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f17418,f17371])).
% 30.23/4.28 fof(f17618,plain,(
% 30.23/4.28 ![X0]: (join(meet(complement(sF2_fnc),zero),meet(complement(sF2_fnc),composition(sF0_fnc,X0)))=meet(complement(sF2_fnc),zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f17617])).
% 30.23/4.28 fof(f17619,plain,(
% 30.23/4.28 ![X0]: (join(zero,meet(complement(sF2_fnc),composition(sF0_fnc,X0)))=meet(complement(sF2_fnc),zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f17618])).
% 30.23/4.28 fof(f17620,plain,(
% 30.23/4.28 ![X0]: (meet(complement(sF2_fnc),composition(sF0_fnc,X0))=meet(complement(sF2_fnc),zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f17619])).
% 30.23/4.28 fof(f17621,plain,(
% 30.23/4.28 ![X0]: (meet(complement(sF2_fnc),composition(sF0_fnc,X0))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f17620])).
% 30.23/4.28 fof(f18233,plain,(
% 30.23/4.28 ![X0]: (meet(sk1,composition(sF2_fnc,X0))=zero)),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f62,f17616])).
% 30.23/4.28 fof(f18466,plain,(
% 30.23/4.28 ![X0]: (join(meet(composition(sk1,X0),sF2_fnc),meet(sF2_fnc,composition(zero,X0)))=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f18233,f3353])).
% 30.23/4.28 fof(f18489,plain,(
% 30.23/4.28 ![X0]: (join(meet(sF2_fnc,composition(zero,X0)),meet(composition(sk1,X0),sF2_fnc))=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18,f18466])).
% 30.23/4.28 fof(f18490,plain,(
% 30.23/4.28 ![X0]: (join(meet(sF2_fnc,zero),meet(composition(sk1,X0),sF2_fnc))=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f17605,f18489])).
% 30.23/4.28 fof(f18491,plain,(
% 30.23/4.28 ![X0]: (join(zero,meet(composition(sk1,X0),sF2_fnc))=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f18490])).
% 30.23/4.28 fof(f18492,plain,(
% 30.23/4.28 ![X0]: (meet(composition(sk1,X0),sF2_fnc)=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f2815,f18491])).
% 30.23/4.28 fof(f18493,plain,(
% 30.23/4.28 ![X0]: (meet(sF2_fnc,composition(sk1,X0))=meet(sF2_fnc,composition(meet(sk1,composition(sF2_fnc,converse(X0))),X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f18492])).
% 30.23/4.28 fof(f18494,plain,(
% 30.23/4.28 ![X0]: (meet(sF2_fnc,composition(sk1,X0))=meet(sF2_fnc,composition(zero,X0)))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f18233,f18493])).
% 30.23/4.28 fof(f18495,plain,(
% 30.23/4.28 ![X0]: (meet(sF2_fnc,composition(sk1,X0))=meet(sF2_fnc,zero))),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f17605,f18494])).
% 30.23/4.28 fof(f18496,plain,(
% 30.23/4.28 ![X0]: (meet(sF2_fnc,composition(sk1,X0))=zero)),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f6791,f18495])).
% 30.23/4.28 fof(f18518,plain,(
% 30.23/4.28 meet(sF2_fnc,sF1_fnc)=zero),
% 30.23/4.28 inference(paramodulation,[status(thm)],[f35,f18496])).
% 30.23/4.28 fof(f18540,plain,(
% 30.23/4.28 meet(sF1_fnc,sF2_fnc)=zero),
% 30.23/4.28 inference(forward_demodulation,[status(thm)],[f3343,f18518])).
% 30.10/4.38 fof(f18582,plain,(
% 30.10/4.38 sF2_fnc=join(meet(sF0_fnc,sF2_fnc),zero)),
% 30.10/4.38 inference(paramodulation,[status(thm)],[f18540,f3347])).
% 30.10/4.38 fof(f18601,plain,(
% 30.10/4.38 sF2_fnc=meet(sF0_fnc,sF2_fnc)),
% 30.10/4.38 inference(forward_demodulation,[status(thm)],[f2867,f18582])).
% 30.10/4.38 fof(f19959,plain,(
% 30.10/4.38 join(sF0_fnc,sF2_fnc)=sF0_fnc),
% 30.10/4.38 inference(paramodulation,[status(thm)],[f18601,f13201])).
% 30.10/4.38 fof(f23717,plain,(
% 30.10/4.38 meet(complement(sF2_fnc),sF0_fnc)=zero),
% 30.10/4.38 inference(paramodulation,[status(thm)],[f23,f17621])).
% 30.10/4.38 fof(f23746,plain,(
% 30.10/4.38 meet(sF0_fnc,complement(sF2_fnc))=zero),
% 30.10/4.38 inference(forward_demodulation,[status(thm)],[f3343,f23717])).
% 30.10/4.38 fof(f23822,plain,(
% 30.10/4.38 join(sF2_fnc,sF0_fnc)=join(sF2_fnc,zero)),
% 30.10/4.38 inference(paramodulation,[status(thm)],[f23746,f13527])).
% 30.10/4.38 fof(f23921,plain,(
% 30.10/4.38 join(sF0_fnc,sF2_fnc)=join(sF2_fnc,zero)),
% 30.10/4.38 inference(forward_demodulation,[status(thm)],[f18,f23822])).
% 30.10/4.38 fof(f23922,plain,(
% 30.10/4.38 sF0_fnc=join(sF2_fnc,zero)),
% 30.10/4.38 inference(forward_demodulation,[status(thm)],[f19959,f23921])).
% 30.10/4.38 fof(f23923,plain,(
% 30.10/4.38 sF0_fnc=sF2_fnc),
% 30.10/4.38 inference(forward_demodulation,[status(thm)],[f2867,f23922])).
% 30.10/4.38 fof(f23924,plain,(
% 30.10/4.38 $false),
% 30.10/4.38 inference(forward_subsumption_resolution,[status(thm)],[f23923,f39])).
% 30.10/4.38 % SZS output end CNFRefutation for theBenchmark.p
% 30.10/4.40 % Elapsed time: 4.035150 seconds
% 30.10/4.40 % CPU time: 31.682227 seconds
% 30.10/4.40 % Total memory used: 439.681 MB
% 30.10/4.40 % Net memory used: 431.516 MB
%------------------------------------------------------------------------------