%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL042+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 : n016.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 02:03:44 PM UTC 2026
% Result : Theorem 38.10s 5.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL042+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
% 0.17/0.43 % Computer : n016.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 04:12:37 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.45 % Drodi V4.1.1
% 38.10/5.41 % Refutation found
% 38.10/5.41 % SZS status Theorem for theBenchmark: Theorem is valid
% 38.10/5.41 % SZS output start CNFRefutation for theBenchmark
% 38.10/5.41 fof(f1,axiom,(
% 38.10/5.41 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f2,axiom,(
% 38.10/5.41 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f3,axiom,(
% 38.10/5.41 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f4,axiom,(
% 38.10/5.41 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f5,axiom,(
% 38.10/5.41 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f6,axiom,(
% 38.10/5.41 (! [X0] : composition(X0,one) = X0 )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f7,axiom,(
% 38.10/5.41 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f8,axiom,(
% 38.10/5.41 (! [X0] : converse(converse(X0)) = X0 )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f9,axiom,(
% 38.10/5.41 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f10,axiom,(
% 38.10/5.41 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f11,axiom,(
% 38.10/5.41 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f12,axiom,(
% 38.10/5.41 (! [X0] : top = join(X0,complement(X0)) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f13,axiom,(
% 38.10/5.41 (! [X0] : zero = meet(X0,complement(X0)) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f15,axiom,(
% 38.10/5.41 (! [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) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f17,conjecture,(
% 38.10/5.41 (! [X0] :( (! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero)=> join(composition(converse(X0),X0),one) = one ) )),
% 38.10/5.41 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 38.10/5.41 fof(f18,negated_conjecture,(
% 38.10/5.41 ~((! [X0] :( (! [X1] : meet(composition(X0,X1),composition(X0,complement(X1))) = zero)=> join(composition(converse(X0),X0),one) = one ) ))),
% 38.10/5.41 inference(negated_conjecture,[status(cth)],[f17])).
% 38.10/5.41 fof(f19,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f1])).
% 38.10/5.41 fof(f20,plain,(
% 38.10/5.41 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f2])).
% 38.10/5.41 fof(f21,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f3])).
% 38.10/5.41 fof(f22,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f4])).
% 38.10/5.41 fof(f23,plain,(
% 38.10/5.41 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f5])).
% 38.10/5.41 fof(f24,plain,(
% 38.10/5.41 ![X0]: (composition(X0,one)=X0)),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f6])).
% 38.10/5.41 fof(f25,plain,(
% 38.10/5.41 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f7])).
% 38.10/5.41 fof(f26,plain,(
% 38.10/5.41 ![X0]: (converse(converse(X0))=X0)),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f8])).
% 38.10/5.41 fof(f27,plain,(
% 38.10/5.41 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f9])).
% 38.10/5.41 fof(f28,plain,(
% 38.10/5.41 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f10])).
% 38.10/5.41 fof(f29,plain,(
% 38.10/5.41 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f11])).
% 38.10/5.41 fof(f30,plain,(
% 38.10/5.41 ![X0]: (top=join(X0,complement(X0)))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f12])).
% 38.10/5.41 fof(f31,plain,(
% 38.10/5.41 ![X0]: (zero=meet(X0,complement(X0)))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f13])).
% 38.10/5.41 fof(f33,plain,(
% 38.10/5.41 ![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))),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f15])).
% 38.10/5.41 fof(f35,plain,(
% 38.10/5.41 (?[X0]: ((![X1]: meet(composition(X0,X1),composition(X0,complement(X1)))=zero)&~join(composition(converse(X0),X0),one)=one))),
% 38.10/5.41 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 38.10/5.41 fof(f36,plain,(
% 38.10/5.41 ((![X1]: meet(composition(sK0_skl,X1),composition(sK0_skl,complement(X1)))=zero)&~join(composition(converse(sK0_skl),sK0_skl),one)=one)),
% 38.10/5.41 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f35])).
% 38.10/5.41 fof(f37,plain,(
% 38.10/5.41 ![X0]: (meet(composition(sK0_skl,X0),composition(sK0_skl,complement(X0)))=zero)),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f36])).
% 38.10/5.41 fof(f38,plain,(
% 38.10/5.41 ~join(composition(converse(sK0_skl),sK0_skl),one)=one),
% 38.10/5.41 inference(cnf_transformation,[status(thm)],[f36])).
% 38.10/5.41 fof(f39,definition,(
% 38.10/5.41 sF2_fnc=converse(sK0_skl)),
% 38.10/5.41 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 38.10/5.41 fof(f40,definition,(
% 38.10/5.41 sF1_fnc=composition(sF2_fnc,sK0_skl)),
% 38.10/5.41 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 38.10/5.41 fof(f41,definition,(
% 38.10/5.41 sF0_fnc=join(sF1_fnc,one)),
% 38.10/5.41 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 38.10/5.41 fof(f42,plain,(
% 38.10/5.41 ~sF0_fnc=one),
% 38.10/5.41 inference(definition_folding,[],[f38,f41,f40,f39])).
% 38.10/5.41 fof(f43,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f21])).
% 38.10/5.41 fof(f44,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f22,f43])).
% 38.10/5.41 fof(f45,plain,(
% 38.10/5.41 ![X0,X1]: (join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))=complement(X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f29])).
% 38.10/5.41 fof(f46,plain,(
% 38.10/5.41 sF0_fnc=join(one,sF1_fnc)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f41])).
% 38.10/5.41 fof(f47,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f44])).
% 38.10/5.41 fof(f49,plain,(
% 38.10/5.41 converse(sF2_fnc)=sK0_skl),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f39,f26])).
% 38.10/5.41 fof(f55,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f30,f20])).
% 38.10/5.41 fof(f56,plain,(
% 38.10/5.41 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f20])).
% 38.10/5.41 fof(f59,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f30,f20])).
% 38.10/5.41 fof(f60,plain,(
% 38.10/5.41 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f20])).
% 38.10/5.41 fof(f71,plain,(
% 38.10/5.41 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f24,f23])).
% 38.10/5.41 fof(f84,plain,(
% 38.10/5.41 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f30,f22])).
% 38.10/5.41 fof(f85,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f22])).
% 38.10/5.41 fof(f89,plain,(
% 38.10/5.41 ![X0,X1]: (top=join(join(complement(X0),complement(X1)),meet(X0,X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f22,f30])).
% 38.10/5.41 fof(f91,plain,(
% 38.10/5.41 zero=complement(top)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f31,f84])).
% 38.10/5.41 fof(f92,plain,(
% 38.10/5.41 ![X0,X1]: (top=join(complement(X0),join(complement(X1),meet(X0,X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f20,f89])).
% 38.10/5.41 fof(f122,plain,(
% 38.10/5.41 ![X0]: (converse(composition(X0,sK0_skl))=composition(sF2_fnc,converse(X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f39,f28])).
% 38.10/5.41 fof(f124,plain,(
% 38.10/5.41 ![X0]: (converse(composition(sF2_fnc,X0))=composition(converse(X0),sK0_skl))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f49,f28])).
% 38.10/5.41 fof(f126,plain,(
% 38.10/5.41 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f26,f28])).
% 38.10/5.41 fof(f130,plain,(
% 38.10/5.41 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f27])).
% 38.10/5.41 fof(f134,plain,(
% 38.10/5.41 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f26,f27])).
% 38.10/5.41 fof(f136,plain,(
% 38.10/5.41 ![X0]: (converse(join(X0,sK0_skl))=join(converse(X0),sF2_fnc))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f39,f27])).
% 38.10/5.41 fof(f142,plain,(
% 38.10/5.41 ![X0]: (converse(join(X0,sK0_skl))=join(sF2_fnc,converse(X0)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f136])).
% 38.10/5.41 fof(f190,plain,(
% 38.10/5.41 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=complement(top))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f91,f45])).
% 38.10/5.41 fof(f204,plain,(
% 38.10/5.41 ![X0]: (join(zero,composition(converse(X0),complement(composition(X0,top))))=zero)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f190])).
% 38.10/5.41 fof(f315,plain,(
% 38.10/5.41 converse(composition(sF2_fnc,sK0_skl))=composition(sF2_fnc,sK0_skl)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f49,f122])).
% 38.10/5.41 fof(f324,plain,(
% 38.10/5.41 converse(sF1_fnc)=composition(sF2_fnc,sK0_skl)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f40,f315])).
% 38.10/5.41 fof(f325,plain,(
% 38.10/5.41 converse(sF1_fnc)=sF1_fnc),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f40,f324])).
% 38.10/5.41 fof(f413,plain,(
% 38.10/5.41 ![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))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f26,f33])).
% 38.10/5.41 fof(f445,plain,(
% 38.10/5.41 ![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))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f26,f413])).
% 38.10/5.41 fof(f502,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f22,f85])).
% 38.10/5.41 fof(f531,plain,(
% 38.10/5.41 ![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)))))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f502,f445])).
% 38.10/5.41 fof(f573,plain,(
% 38.10/5.41 ![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)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f502,f531])).
% 38.10/5.41 fof(f609,plain,(
% 38.10/5.41 meet(sK0_skl,composition(sK0_skl,complement(one)))=zero),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f24,f37])).
% 38.10/5.41 fof(f626,plain,(
% 38.10/5.41 ![X0,X1]: (converse(join(X0,X1))=converse(join(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f27,f130])).
% 38.10/5.41 fof(f720,plain,(
% 38.10/5.41 ![X0]: (X0=join(zero,complement(join(complement(X0),complement(X0)))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f31,f47])).
% 38.10/5.41 fof(f723,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f85,f47])).
% 38.10/5.41 fof(f726,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f59,f47])).
% 38.10/5.41 fof(f727,plain,(
% 38.10/5.41 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f30,f47])).
% 38.10/5.41 fof(f740,plain,(
% 38.10/5.41 ![X0]: (X0=join(zero,meet(X0,X0)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f85,f720])).
% 38.10/5.41 fof(f741,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f723])).
% 38.10/5.41 fof(f744,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(join(top,X1)),meet(X0,join(complement(complement(X0)),X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f726])).
% 38.10/5.41 fof(f745,plain,(
% 38.10/5.41 ![X0]: (X0=join(complement(top),meet(X0,complement(complement(X0)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f727])).
% 38.10/5.41 fof(f746,plain,(
% 38.10/5.41 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f745])).
% 38.10/5.41 fof(f763,plain,(
% 38.10/5.41 top=join(zero,meet(top,complement(zero)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f91,f746])).
% 38.10/5.41 fof(f786,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X1,X0),meet(complement(X1),X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f741])).
% 38.10/5.41 fof(f788,plain,(
% 38.10/5.41 ![X0]: (X0=join(meet(top,X0),meet(X0,zero)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f91,f741])).
% 38.10/5.41 fof(f880,plain,(
% 38.10/5.41 ![X0]: (X0=join(meet(X0,top),meet(X0,zero)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f788])).
% 38.10/5.41 fof(f919,plain,(
% 38.10/5.41 ![X0]: (X0=join(meet(X0,top),meet(zero,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f880])).
% 38.10/5.41 fof(f931,plain,(
% 38.10/5.41 complement(zero)=join(meet(complement(zero),top),zero)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f31,f919])).
% 38.10/5.41 fof(f939,plain,(
% 38.10/5.41 complement(zero)=join(zero,meet(complement(zero),top))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f931])).
% 38.10/5.41 fof(f940,plain,(
% 38.10/5.41 complement(zero)=join(zero,meet(top,complement(zero)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f502,f939])).
% 38.10/5.41 fof(f944,plain,(
% 38.10/5.41 complement(zero)=top),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f763,f940])).
% 38.10/5.41 fof(f1010,plain,(
% 38.10/5.41 ![X0]: (zero=join(meet(zero,X0),complement(join(top,X0))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f944,f47])).
% 38.10/5.41 fof(f1148,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(meet(X0,join(X1,complement(join(complement(X0),X1)))),complement(top)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f55,f47])).
% 38.10/5.41 fof(f1193,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(top),meet(X0,join(X1,complement(join(complement(X0),X1))))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f1148])).
% 38.10/5.41 fof(f1194,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(zero,meet(X0,join(X1,complement(join(complement(X0),X1))))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f1193])).
% 38.10/5.41 fof(f1209,plain,(
% 38.10/5.41 ![X0]: (complement(complement(X0))=join(meet(X0,complement(complement(X0))),zero))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f31,f786])).
% 38.10/5.41 fof(f1224,plain,(
% 38.10/5.41 ![X0]: (complement(complement(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f1209])).
% 38.10/5.41 fof(f1230,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(join(top,X1)),meet(X0,join(X0,X1))))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f1234,f744])).
% 38.10/5.41 fof(f1234,plain,(
% 38.10/5.41 ![X0]: (complement(complement(X0))=X0)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f746,f1224])).
% 38.10/5.41 fof(f1252,plain,(
% 38.10/5.41 ![X0,X1]: (complement(meet(X0,X1))=join(complement(X1),complement(X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f85,f1234])).
% 38.10/5.41 fof(f1253,plain,(
% 38.10/5.41 ![X0,X1]: (complement(meet(X0,X1))=join(complement(X0),complement(X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f22,f1234])).
% 38.10/5.41 fof(f1259,plain,(
% 38.10/5.41 ![X0,X1]: (meet(complement(X0),X1)=complement(join(complement(X1),X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1234,f85])).
% 38.10/5.41 fof(f1326,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(zero,meet(X0,join(X1,meet(complement(X1),X0)))))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f1259,f1194])).
% 38.10/5.41 fof(f1666,plain,(
% 38.10/5.41 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f24,f126])).
% 38.10/5.41 fof(f1700,plain,(
% 38.10/5.41 ![X0]: (X0=composition(converse(one),X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f26,f1666])).
% 38.10/5.41 fof(f1788,plain,(
% 38.10/5.41 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f71,f1700])).
% 38.10/5.41 fof(f1789,plain,(
% 38.10/5.41 one=converse(one)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f24,f1700])).
% 38.10/5.41 fof(f1792,plain,(
% 38.10/5.41 ![X0]: (join(complement(X0),complement(composition(one,X0)))=complement(X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1700,f45])).
% 38.10/5.41 fof(f1807,plain,(
% 38.10/5.41 ![X0,X1]: (composition(join(X0,converse(one)),X1)=join(composition(X0,X1),X1))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1700,f25])).
% 38.10/5.41 fof(f1808,plain,(
% 38.10/5.41 ![X0,X1]: (composition(join(converse(one),X0),X1)=join(X1,composition(X0,X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1700,f25])).
% 38.10/5.41 fof(f1822,plain,(
% 38.10/5.41 ![X0]: (composition(one,X0)=X0)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1700,f1788])).
% 38.10/5.41 fof(f1828,plain,(
% 38.10/5.41 ![X0]: (complement(meet(X0,composition(one,X0)))=complement(X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1253,f1792])).
% 38.10/5.41 fof(f1829,plain,(
% 38.10/5.41 ![X0]: (complement(meet(X0,X0))=complement(X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1822,f1828])).
% 38.10/5.41 fof(f1875,plain,(
% 38.10/5.41 ![X0,X1]: (composition(join(X0,one),X1)=join(composition(X0,X1),X1))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1789,f1807])).
% 38.10/5.41 fof(f1877,plain,(
% 38.10/5.41 ![X0,X1]: (composition(join(X0,one),X1)=join(X1,composition(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f1875])).
% 38.10/5.41 fof(f1878,plain,(
% 38.10/5.41 ![X0,X1]: (composition(join(one,X0),X1)=join(X1,composition(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1789,f1808])).
% 38.10/5.41 fof(f1939,plain,(
% 38.10/5.41 converse(join(one,sK0_skl))=join(sF2_fnc,one)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1789,f142])).
% 38.10/5.41 fof(f1961,plain,(
% 38.10/5.41 converse(join(sK0_skl,one))=join(sF2_fnc,one)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f626,f1939])).
% 38.10/5.41 fof(f1962,plain,(
% 38.10/5.41 converse(join(sK0_skl,one))=join(one,sF2_fnc)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f1961])).
% 38.10/5.41 fof(f2005,plain,(
% 38.10/5.41 ![X0]: (complement(complement(X0))=meet(X0,X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1829,f1234])).
% 38.10/5.41 fof(f2017,plain,(
% 38.10/5.41 ![X0]: (X0=join(zero,X0))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f2026,f740])).
% 38.10/5.41 fof(f2026,plain,(
% 38.10/5.41 ![X0]: (X0=meet(X0,X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1234,f2005])).
% 38.10/5.41 fof(f2053,plain,(
% 38.10/5.41 ![X0]: (composition(converse(X0),complement(composition(X0,top)))=zero)),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f2017,f204])).
% 38.10/5.41 fof(f2065,plain,(
% 38.10/5.41 ![X0,X1]: (X0=meet(X0,join(X1,meet(complement(X1),X0))))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f2017,f1326])).
% 38.10/5.41 fof(f2159,plain,(
% 38.10/5.41 ![X0]: (X0=join(X0,zero))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f2017])).
% 38.10/5.41 fof(f2235,plain,(
% 38.10/5.41 ![X0]: (top=join(complement(X0),join(complement(X0),X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f2026,f92])).
% 38.10/5.41 fof(f2296,plain,(
% 38.10/5.41 ![X0]: (top=join(complement(X0),join(X0,complement(X0))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f56,f2235])).
% 38.10/5.41 fof(f2297,plain,(
% 38.10/5.41 ![X0]: (top=join(X0,join(complement(X0),complement(X0))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f56,f2296])).
% 38.10/5.41 fof(f2298,plain,(
% 38.10/5.41 ![X0]: (top=join(top,complement(X0)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f59,f2297])).
% 38.10/5.41 fof(f2306,plain,(
% 38.10/5.41 ![X0]: (top=join(top,X0))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1234,f2298])).
% 38.10/5.41 fof(f2336,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(complement(top),meet(X0,join(X0,X1))))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f2306,f1230])).
% 38.10/5.41 fof(f2337,plain,(
% 38.10/5.41 ![X0]: (zero=join(meet(zero,X0),complement(top)))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f2306,f1010])).
% 38.10/5.41 fof(f2357,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(zero,meet(X0,join(X0,X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f2336])).
% 38.10/5.41 fof(f2358,plain,(
% 38.10/5.41 ![X0,X1]: (X0=meet(X0,join(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2017,f2357])).
% 38.10/5.41 fof(f2359,plain,(
% 38.10/5.41 ![X0]: (zero=join(complement(top),meet(zero,X0)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f2337])).
% 38.10/5.41 fof(f2360,plain,(
% 38.10/5.41 ![X0]: (zero=join(zero,meet(zero,X0)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f2359])).
% 38.10/5.41 fof(f2372,plain,(
% 38.10/5.41 ![X0]: (zero=meet(zero,X0))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2017,f2360])).
% 38.10/5.41 fof(f2679,plain,(
% 38.10/5.41 ![X0]: (zero=meet(X0,zero))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f2372])).
% 38.10/5.41 fof(f2852,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=meet(meet(X0,X1),X1))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f786,f2358])).
% 38.10/5.41 fof(f2874,plain,(
% 38.10/5.41 ![X0,X1]: (X0=meet(X0,join(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f19,f2358])).
% 38.10/5.41 fof(f2890,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f502,f2852])).
% 38.10/5.41 fof(f3113,plain,(
% 38.10/5.41 ![X0,X1]: (meet(X0,X1)=meet(X1,meet(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f2890])).
% 38.10/5.41 fof(f3744,plain,(
% 38.10/5.41 ![X0,X1]: (X0=meet(X0,join(X1,meet(X0,complement(X1)))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f502,f2065])).
% 38.10/5.41 fof(f3835,plain,(
% 38.10/5.41 ![X0]: (converse(converse(X0))=join(X0,converse(zero)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f2159,f134])).
% 38.10/5.41 fof(f3879,plain,(
% 38.10/5.41 ![X0]: (X0=join(X0,converse(zero)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f26,f3835])).
% 38.10/5.41 fof(f3909,plain,(
% 38.10/5.41 zero=converse(zero)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f2017,f3879])).
% 38.10/5.41 fof(f3987,plain,(
% 38.10/5.41 ![X0]: (converse(composition(zero,X0))=composition(converse(X0),zero))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f3909,f126])).
% 38.10/5.41 fof(f3999,plain,(
% 38.10/5.41 converse(composition(zero,sK0_skl))=composition(sF2_fnc,zero)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f3909,f122])).
% 38.10/5.41 fof(f9337,plain,(
% 38.10/5.41 ![X0,X1]: (complement(X0)=meet(complement(X0),complement(meet(X0,X1))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1252,f2874])).
% 38.10/5.41 fof(f13317,plain,(
% 38.10/5.41 ![X0,X1]: (meet(complement(X0),complement(X1))=complement(join(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1234,f1259])).
% 38.10/5.41 fof(f13410,plain,(
% 38.10/5.41 ![X0,X1]: (complement(X0)=complement(join(meet(X0,X1),X0)))),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f13317,f9337])).
% 38.10/5.41 fof(f13451,plain,(
% 38.10/5.41 ![X0,X1]: (complement(X0)=complement(join(X0,meet(X0,X1))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f13410])).
% 38.10/5.41 fof(f15445,plain,(
% 38.10/5.41 ![X0,X1]: (complement(complement(X0))=join(X0,meet(X0,X1)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f13451,f1234])).
% 38.10/5.41 fof(f15531,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(X0,meet(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1234,f15445])).
% 38.10/5.41 fof(f16097,plain,(
% 38.10/5.41 ![X0,X1]: (X0=join(X0,meet(X1,X0)))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f3113,f15531])).
% 38.10/5.41 fof(f16258,plain,(
% 38.10/5.41 join(meet(composition(converse(sK0_skl),sK0_skl),complement(one)),meet(complement(one),composition(converse(sK0_skl),zero)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f609,f573])).
% 38.10/5.41 fof(f16500,plain,(
% 38.10/5.41 join(meet(complement(one),composition(converse(sK0_skl),zero)),meet(composition(converse(sK0_skl),sK0_skl),complement(one)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f16258])).
% 38.10/5.41 fof(f16501,plain,(
% 38.10/5.41 join(meet(complement(one),converse(composition(zero,sK0_skl))),meet(composition(converse(sK0_skl),sK0_skl),complement(one)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f3987,f16500])).
% 38.10/5.41 fof(f16502,plain,(
% 38.10/5.41 join(meet(complement(one),composition(sF2_fnc,zero)),meet(composition(converse(sK0_skl),sK0_skl),complement(one)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f3999,f16501])).
% 38.10/5.41 fof(f16503,plain,(
% 38.10/5.41 join(meet(complement(one),composition(sF2_fnc,zero)),meet(complement(one),composition(converse(sK0_skl),sK0_skl)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f502,f16502])).
% 38.10/5.41 fof(f16504,plain,(
% 38.10/5.41 join(meet(complement(one),composition(sF2_fnc,zero)),meet(complement(one),converse(composition(sF2_fnc,sK0_skl))))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f124,f16503])).
% 38.10/5.41 fof(f16505,plain,(
% 38.10/5.41 join(meet(complement(one),composition(sF2_fnc,zero)),meet(complement(one),converse(sF1_fnc)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f40,f16504])).
% 38.10/5.41 fof(f16506,plain,(
% 38.10/5.41 join(meet(complement(one),converse(sF1_fnc)),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f19,f16505])).
% 38.10/5.41 fof(f16507,plain,(
% 38.10/5.41 join(meet(complement(one),sF1_fnc),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f325,f16506])).
% 38.10/5.41 fof(f16508,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),composition(converse(sK0_skl),meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f502,f16507])).
% 38.10/5.41 fof(f16509,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),composition(sF2_fnc,meet(sK0_skl,composition(sK0_skl,complement(one)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f39,f16508])).
% 38.10/5.41 fof(f16510,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),composition(sF2_fnc,zero))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f609,f16509])).
% 38.10/5.41 fof(f16729,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,meet(X1,complement(X0)))=join(join(X0,meet(X1,complement(X0))),X1))),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f3744,f16097])).
% 38.10/5.41 fof(f16896,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,meet(X1,complement(X0)))=join(meet(X1,complement(X0)),join(X0,X1)))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f60,f16729])).
% 38.10/5.41 fof(f16897,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,meet(X1,complement(X0)))=join(X0,join(X1,meet(X1,complement(X0)))))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f56,f16896])).
% 38.10/5.41 fof(f16919,plain,(
% 38.10/5.41 ![X0,X1]: (join(X0,meet(X1,complement(X0)))=join(X0,X1))),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f15531,f16897])).
% 38.10/5.41 fof(f23923,plain,(
% 38.10/5.41 composition(join(one,sF2_fnc),complement(composition(join(sK0_skl,one),top)))=zero),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f1962,f2053])).
% 38.10/5.41 fof(f24014,plain,(
% 38.10/5.41 composition(join(one,sF2_fnc),complement(join(top,composition(sK0_skl,top))))=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1877,f23923])).
% 38.10/5.41 fof(f24015,plain,(
% 38.10/5.41 composition(join(one,sF2_fnc),complement(top))=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2306,f24014])).
% 38.10/5.41 fof(f24016,plain,(
% 38.10/5.41 composition(join(one,sF2_fnc),zero)=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f91,f24015])).
% 38.10/5.41 fof(f24017,plain,(
% 38.10/5.41 join(zero,composition(sF2_fnc,zero))=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f1878,f24016])).
% 38.10/5.41 fof(f24019,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),meet(complement(one),composition(sF2_fnc,zero)))=meet(complement(one),zero)),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f24023,f16510])).
% 38.10/5.41 fof(f24023,plain,(
% 38.10/5.41 composition(sF2_fnc,zero)=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2017,f24017])).
% 38.10/5.41 fof(f24267,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),meet(complement(one),zero))=meet(complement(one),zero)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f24023,f24019])).
% 38.10/5.41 fof(f24268,plain,(
% 38.10/5.41 join(meet(sF1_fnc,complement(one)),zero)=meet(complement(one),zero)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2679,f24267])).
% 38.10/5.41 fof(f24269,plain,(
% 38.10/5.41 meet(sF1_fnc,complement(one))=meet(complement(one),zero)),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2159,f24268])).
% 38.10/5.41 fof(f24271,plain,(
% 38.10/5.41 meet(sF1_fnc,complement(one))=zero),
% 38.10/5.41 inference(forward_demodulation,[status(thm)],[f2679,f24269])).
% 38.10/5.41 fof(f25413,plain,(
% 38.10/5.41 join(one,zero)=join(one,sF1_fnc)),
% 38.10/5.41 inference(paramodulation,[status(thm)],[f24271,f16919])).
% 38.10/5.41 fof(f25433,plain,(
% 38.10/5.41 sF0_fnc=one),
% 38.10/5.41 inference(backward_demodulation,[status(thm)],[f25434,f46])).
% 38.10/5.41 fof(f25434,plain,(
% 20.00/5.54 one=join(one,sF1_fnc)),
% 20.00/5.54 inference(forward_demodulation,[status(thm)],[f2159,f25413])).
% 20.00/5.54 fof(f25478,plain,(
% 20.00/5.54 $false),
% 20.00/5.54 inference(forward_subsumption_resolution,[status(thm)],[f25433,f42])).
% 20.00/5.54 % SZS output end CNFRefutation for theBenchmark.p
% 20.00/5.57 % Elapsed time: 5.116163 seconds
% 20.00/5.57 % CPU time: 40.083047 seconds
% 20.00/5.57 % Total memory used: 409.593 MB
% 20.00/5.57 % Net memory used: 403.828 MB
%------------------------------------------------------------------------------