%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL004+1 : 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 : n007.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 02:03:31 PM UTC 2026
% Result : Theorem 5.17s 1.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL004+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.07/0.41 % Computer : n007.cluster.edu
% 0.07/0.41 % Model : x86_64 x86_64
% 0.07/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.41 % Memory : 8046.5625MB
% 0.07/0.41 % OS : Linux 6.8.0-71-generic
% 0.07/0.41 % CPULimit : 300
% 0.07/0.41 % WCLimit : 300
% 0.07/0.41 % DateTime : Mon Sep 21 03:55:21 UTC 2026
% 0.07/0.41 % CPUTime :
% 0.07/0.42 % Drodi V4.1.1
% 5.17/1.22 % Refutation found
% 5.17/1.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 5.17/1.22 % SZS output start CNFRefutation for theBenchmark
% 5.17/1.22 fof(f1,axiom,(
% 5.17/1.22 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f2,axiom,(
% 5.17/1.22 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f3,axiom,(
% 5.17/1.22 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f4,axiom,(
% 5.17/1.22 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f5,axiom,(
% 5.17/1.22 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f6,axiom,(
% 5.17/1.22 (! [X0] : composition(X0,one) = X0 )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f8,axiom,(
% 5.17/1.22 (! [X0] : converse(converse(X0)) = X0 )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f9,axiom,(
% 5.17/1.22 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f10,axiom,(
% 5.17/1.22 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f11,axiom,(
% 5.17/1.22 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f12,axiom,(
% 5.17/1.22 (! [X0] : top = join(X0,complement(X0)) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f13,axiom,(
% 5.17/1.22 (! [X0] : zero = meet(X0,complement(X0)) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f14,conjecture,(
% 5.17/1.22 (! [X0] : converse(complement(X0)) = complement(converse(X0)) )),
% 5.17/1.22 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.17/1.22 fof(f15,negated_conjecture,(
% 5.17/1.22 ~((! [X0] : converse(complement(X0)) = complement(converse(X0)) ))),
% 5.17/1.22 inference(negated_conjecture,[status(cth)],[f14])).
% 5.17/1.22 fof(f16,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f1])).
% 5.17/1.22 fof(f17,plain,(
% 5.17/1.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f2])).
% 5.17/1.22 fof(f18,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f3])).
% 5.17/1.22 fof(f19,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f4])).
% 5.17/1.22 fof(f20,plain,(
% 5.17/1.22 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f5])).
% 5.17/1.22 fof(f21,plain,(
% 5.17/1.22 ![X0]: (composition(X0,one)=X0)),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f6])).
% 5.17/1.22 fof(f23,plain,(
% 5.17/1.22 ![X0]: (converse(converse(X0))=X0)),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f8])).
% 5.17/1.22 fof(f24,plain,(
% 5.17/1.22 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f9])).
% 5.17/1.22 fof(f25,plain,(
% 5.17/1.22 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f10])).
% 5.17/1.22 fof(f26,plain,(
% 5.17/1.22 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f11])).
% 5.17/1.22 fof(f27,plain,(
% 5.17/1.22 ![X0]: (top=join(X0,complement(X0)))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f12])).
% 5.17/1.22 fof(f28,plain,(
% 5.17/1.22 ![X0]: (zero=meet(X0,complement(X0)))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f13])).
% 5.17/1.22 fof(f29,plain,(
% 5.17/1.22 (?[X0]: ~converse(complement(X0))=complement(converse(X0)))),
% 5.17/1.22 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 5.17/1.22 fof(f30,plain,(
% 5.17/1.22 ~converse(complement(sK0_skl))=complement(converse(sK0_skl))),
% 5.17/1.22 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(X0,sK0_skl)],[f29])).
% 5.17/1.22 fof(f31,plain,(
% 5.17/1.22 ~converse(complement(sK0_skl))=complement(converse(sK0_skl))),
% 5.17/1.22 inference(cnf_transformation,[status(thm)],[f30])).
% 5.17/1.22 fof(f32,definition,(
% 5.17/1.22 sF1_fnc=complement(sK0_skl)),
% 5.17/1.22 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 5.17/1.22 fof(f33,definition,(
% 5.17/1.22 sF0_fnc=converse(sF1_fnc)),
% 5.17/1.22 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 5.17/1.22 fof(f34,definition,(
% 5.17/1.22 sF3_fnc=converse(sK0_skl)),
% 5.17/1.22 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 5.17/1.22 fof(f35,definition,(
% 5.17/1.22 sF2_fnc=complement(sF3_fnc)),
% 5.17/1.22 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 5.17/1.22 fof(f36,plain,(
% 5.17/1.22 ~sF0_fnc=sF2_fnc),
% 5.17/1.22 inference(definition_folding,[],[f31,f35,f34,f33,f32])).
% 5.17/1.22 fof(f39,plain,(
% 5.17/1.22 converse(sF0_fnc)=sF1_fnc),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f33,f23])).
% 5.17/1.22 fof(f42,plain,(
% 5.17/1.22 ![X0]: (converse(join(sF0_fnc,X0))=join(sF1_fnc,converse(X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f39,f24])).
% 5.17/1.22 fof(f44,plain,(
% 5.17/1.22 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f23,f24])).
% 5.17/1.22 fof(f45,plain,(
% 5.17/1.22 ![X0]: (converse(join(sK0_skl,X0))=join(sF3_fnc,converse(X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f34,f24])).
% 5.17/1.22 fof(f49,plain,(
% 5.17/1.22 ![X0,X1]: (converse(join(X0,converse(X1)))=join(converse(X0),X1))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f23,f24])).
% 5.17/1.22 fof(f59,plain,(
% 5.17/1.22 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f23,f25])).
% 5.17/1.22 fof(f227,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(join(complement(X0),sF2_fnc)),complement(join(complement(X0),sF3_fnc))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f35,f18])).
% 5.17/1.22 fof(f257,plain,(
% 5.17/1.22 ![X0,X1]: (join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))=complement(X0))),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f16,f26])).
% 5.17/1.22 fof(f258,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f16,f18])).
% 5.17/1.22 fof(f274,plain,(
% 5.17/1.22 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f16,f49])).
% 5.17/1.22 fof(f282,plain,(
% 5.17/1.22 top=join(sF3_fnc,sF2_fnc)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f35,f27])).
% 5.17/1.22 fof(f285,plain,(
% 5.17/1.22 converse(top)=join(sF3_fnc,converse(complement(sK0_skl)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f45])).
% 5.17/1.22 fof(f287,plain,(
% 5.17/1.22 converse(top)=join(sF1_fnc,converse(complement(sF0_fnc)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f42])).
% 5.17/1.22 fof(f288,plain,(
% 5.17/1.22 ![X0]: (converse(top)=join(X0,converse(complement(converse(X0)))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f44])).
% 5.17/1.22 fof(f289,plain,(
% 5.17/1.22 top=join(sF2_fnc,sF3_fnc)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f282])).
% 5.17/1.22 fof(f290,plain,(
% 5.17/1.22 converse(top)=join(sF3_fnc,converse(sF1_fnc))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f32,f285])).
% 5.17/1.22 fof(f291,plain,(
% 5.17/1.22 converse(top)=join(sF3_fnc,sF0_fnc)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f33,f290])).
% 5.17/1.22 fof(f292,plain,(
% 5.17/1.22 converse(top)=join(sF0_fnc,sF3_fnc)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f291])).
% 5.17/1.22 fof(f311,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f17])).
% 5.17/1.22 fof(f312,plain,(
% 5.17/1.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f16,f17])).
% 5.17/1.22 fof(f321,plain,(
% 5.17/1.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f16,f17])).
% 5.17/1.22 fof(f329,plain,(
% 5.17/1.22 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f19])).
% 5.17/1.22 fof(f330,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f16,f19])).
% 5.17/1.22 fof(f333,plain,(
% 5.17/1.22 ![X0]: (meet(sF3_fnc,X0)=complement(join(sF2_fnc,complement(X0))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f35,f19])).
% 5.17/1.22 fof(f336,plain,(
% 5.17/1.22 ![X0]: (meet(X0,sF3_fnc)=complement(join(complement(X0),sF2_fnc)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f35,f19])).
% 5.17/1.22 fof(f340,plain,(
% 5.17/1.22 zero=complement(top)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f28,f329])).
% 5.17/1.22 fof(f341,plain,(
% 5.17/1.22 ![X0]: (meet(X0,sF3_fnc)=complement(join(sF2_fnc,complement(X0))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f336])).
% 5.17/1.22 fof(f353,plain,(
% 5.17/1.22 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f21,f20])).
% 5.17/1.22 fof(f410,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f19,f258])).
% 5.17/1.22 fof(f411,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f410])).
% 5.17/1.22 fof(f416,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f19,f411])).
% 5.17/1.22 fof(f418,plain,(
% 5.17/1.22 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f27,f411])).
% 5.17/1.22 fof(f424,plain,(
% 5.17/1.22 ![X0]: (sK0_skl=join(meet(sK0_skl,X0),complement(join(sF1_fnc,X0))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f32,f411])).
% 5.17/1.22 fof(f433,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f416])).
% 5.17/1.22 fof(f435,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(top),meet(X0,complement(complement(X0)))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f418])).
% 5.17/1.22 fof(f436,plain,(
% 5.17/1.22 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f340,f435])).
% 5.17/1.22 fof(f764,plain,(
% 5.17/1.22 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f21,f59])).
% 5.17/1.22 fof(f811,plain,(
% 5.17/1.22 ![X0]: (X0=composition(converse(one),X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f23,f764])).
% 5.17/1.22 fof(f891,plain,(
% 5.17/1.22 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f353,f811])).
% 5.17/1.22 fof(f907,plain,(
% 5.17/1.22 ![X0]: (composition(one,X0)=X0)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f811,f891])).
% 5.17/1.22 fof(f930,plain,(
% 5.17/1.22 ![X0]: (join(complement(X0),composition(converse(one),complement(X0)))=complement(X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f907,f257])).
% 5.17/1.22 fof(f939,plain,(
% 5.17/1.22 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f811,f930])).
% 5.17/1.22 fof(f976,plain,(
% 5.17/1.22 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f939,f19])).
% 5.17/1.22 fof(f977,plain,(
% 5.17/1.22 ![X0]: (X0=join(meet(X0,complement(X0)),complement(complement(X0))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f939,f411])).
% 5.17/1.22 fof(f999,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(complement(X0)),meet(X0,complement(X0))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f977])).
% 5.17/1.22 fof(f1000,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f28,f999])).
% 5.17/1.22 fof(f1001,plain,(
% 5.17/1.22 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f1000])).
% 5.17/1.22 fof(f1149,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(join(sF2_fnc,complement(X0))),complement(join(complement(X0),sF3_fnc))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f227])).
% 5.17/1.22 fof(f1150,plain,(
% 5.17/1.22 ![X0]: (X0=join(complement(join(sF2_fnc,complement(X0))),complement(join(sF3_fnc,complement(X0)))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f1149])).
% 5.17/1.22 fof(f2546,plain,(
% 5.17/1.22 ![X0]: (join(complement(X0),join(complement(X0),complement(complement(X0))))=top)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f939,f311])).
% 5.17/1.22 fof(f2621,plain,(
% 5.17/1.22 ![X0]: (join(complement(X0),top)=top)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f27,f2546])).
% 5.17/1.22 fof(f2622,plain,(
% 5.17/1.22 ![X0]: (join(top,complement(X0))=top)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f2621])).
% 5.17/1.22 fof(f2675,plain,(
% 5.17/1.22 ![X0]: (join(X0,top)=top)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f2622,f311])).
% 5.17/1.22 fof(f2683,plain,(
% 5.17/1.22 ![X0]: (join(top,X0)=top)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f16,f2675])).
% 5.17/1.22 fof(f2728,plain,(
% 5.17/1.22 converse(top)=top),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f288,f2683])).
% 5.17/1.22 fof(f2757,plain,(
% 5.17/1.22 top=join(sF1_fnc,converse(complement(sF0_fnc)))),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f2728,f287])).
% 5.17/1.22 fof(f2760,plain,(
% 5.17/1.22 top=join(sF0_fnc,sF3_fnc)),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f2728,f292])).
% 5.17/1.22 fof(f3091,plain,(
% 5.17/1.22 ![X0]: (X0=join(meet(sF3_fnc,X0),complement(join(sF3_fnc,complement(X0)))))),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f333,f1150])).
% 5.17/1.22 fof(f3809,plain,(
% 5.17/1.22 ![X0]: (join(X0,top)=join(sF3_fnc,join(X0,sF2_fnc)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f289,f312])).
% 5.17/1.22 fof(f3993,plain,(
% 5.17/1.22 ![X0]: (top=join(sF3_fnc,join(X0,sF2_fnc)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f2675,f3809])).
% 5.17/1.22 fof(f3994,plain,(
% 5.17/1.22 ![X0]: (top=join(sF2_fnc,join(sF3_fnc,X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f312,f3993])).
% 5.17/1.22 fof(f5577,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f19,f330])).
% 5.17/1.22 fof(f5605,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f330,f411])).
% 5.17/1.22 fof(f5643,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f5605])).
% 5.17/1.22 fof(f5772,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(meet(X0,X1),meet(complement(X1),X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f5577,f433])).
% 5.17/1.22 fof(f6058,plain,(
% 5.17/1.22 ![X0]: (complement(complement(X0))=join(meet(complement(complement(X0)),X0),zero))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f28,f5772])).
% 5.17/1.22 fof(f6090,plain,(
% 5.17/1.22 ![X0]: (complement(complement(X0))=join(zero,meet(complement(complement(X0)),X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f6058])).
% 5.17/1.22 fof(f6091,plain,(
% 5.17/1.22 ![X0]: (complement(complement(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f5577,f6090])).
% 5.17/1.22 fof(f6092,plain,(
% 5.17/1.22 ![X0]: (complement(complement(X0))=X0)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f436,f6091])).
% 5.17/1.22 fof(f6368,plain,(
% 5.17/1.22 ![X0]: (X0=join(zero,X0))),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f6092,f1001])).
% 5.17/1.22 fof(f6369,plain,(
% 5.17/1.22 ![X0]: (meet(X0,X0)=X0)),
% 5.17/1.22 inference(backward_demodulation,[status(thm)],[f6092,f976])).
% 5.17/1.22 fof(f6402,plain,(
% 5.17/1.22 ![X0]: (join(complement(complement(X0)),X0)=complement(complement(X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f6092,f939])).
% 5.17/1.22 fof(f6424,plain,(
% 5.17/1.22 ![X0]: (join(X0,complement(complement(X0)))=complement(complement(X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f6402])).
% 5.17/1.22 fof(f6425,plain,(
% 5.17/1.22 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6092,f6424])).
% 5.17/1.22 fof(f6426,plain,(
% 5.17/1.22 ![X0]: (join(X0,X0)=X0)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6092,f6425])).
% 5.17/1.22 fof(f6467,plain,(
% 5.17/1.22 ![X0]: (X0=join(X0,meet(complement(X0),X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f6369,f5772])).
% 5.17/1.22 fof(f6544,plain,(
% 5.17/1.22 ![X0]: (X0=join(X0,meet(X0,complement(X0))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f5577,f6467])).
% 5.17/1.22 fof(f6545,plain,(
% 5.17/1.22 ![X0]: (X0=join(X0,zero))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f28,f6544])).
% 5.17/1.22 fof(f6569,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f312,f6426])).
% 5.17/1.22 fof(f6611,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,X1)=join(X1,join(X0,X1)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f6426,f312])).
% 5.17/1.22 fof(f6614,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f321,f6569])).
% 5.17/1.22 fof(f6615,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6426,f6614])).
% 5.17/1.22 fof(f7742,plain,(
% 5.17/1.22 ![X0,X1]: (join(meet(X0,X1),X1)=join(meet(X1,complement(X0)),meet(X0,X1)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f5643,f6615])).
% 5.17/1.22 fof(f7882,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,meet(X1,X0))=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f7742])).
% 5.17/1.22 fof(f7883,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,meet(X1,X0))=join(meet(X1,X0),meet(X0,complement(X1))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f7882])).
% 5.17/1.22 fof(f7884,plain,(
% 5.17/1.22 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f5643,f7883])).
% 5.17/1.22 fof(f8153,plain,(
% 5.17/1.22 ![X0,X1]: (converse(converse(X0))=join(converse(meet(X1,converse(X0))),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f7884,f274])).
% 5.17/1.22 fof(f8172,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(converse(meet(X1,converse(X0))),X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f23,f8153])).
% 5.17/1.22 fof(f8173,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(X0,converse(meet(X1,converse(X0)))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f8172])).
% 5.17/1.22 fof(f8477,plain,(
% 5.17/1.22 ![X0,X1]: (join(meet(X0,X1),complement(join(complement(X0),X1)))=join(complement(join(complement(X0),X1)),X0))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f411,f6611])).
% 5.17/1.22 fof(f8608,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),X0))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f411,f8477])).
% 5.17/1.22 fof(f8609,plain,(
% 5.17/1.22 ![X0,X1]: (X0=join(X0,complement(join(complement(X0),X1))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f8608])).
% 5.17/1.22 fof(f9003,plain,(
% 5.17/1.22 sK0_skl=join(meet(sK0_skl,converse(complement(sF0_fnc))),complement(top))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f2757,f424])).
% 5.17/1.22 fof(f9045,plain,(
% 5.17/1.22 sK0_skl=join(complement(top),meet(sK0_skl,converse(complement(sF0_fnc))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f9003])).
% 5.17/1.22 fof(f9046,plain,(
% 5.17/1.22 sK0_skl=join(zero,meet(sK0_skl,converse(complement(sF0_fnc))))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f340,f9045])).
% 5.17/1.22 fof(f9047,plain,(
% 5.17/1.22 sK0_skl=meet(sK0_skl,converse(complement(sF0_fnc)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6368,f9046])).
% 5.17/1.22 fof(f10125,plain,(
% 5.17/1.22 ![X0,X1]: (meet(join(complement(complement(X0)),X1),X0)=complement(complement(X0)))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f8609,f330])).
% 5.17/1.22 fof(f10210,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,join(complement(complement(X0)),X1))=complement(complement(X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f5577,f10125])).
% 5.17/1.22 fof(f10211,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,join(X0,X1))=complement(complement(X0)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6092,f10210])).
% 5.17/1.22 fof(f10212,plain,(
% 5.17/1.22 ![X0,X1]: (meet(X0,join(X0,X1))=X0)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6092,f10211])).
% 5.17/1.22 fof(f11182,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(complement(sF0_fnc),converse(sK0_skl))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f9047,f8173])).
% 5.17/1.22 fof(f11200,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(complement(sF0_fnc),sF3_fnc)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f34,f11182])).
% 5.17/1.22 fof(f11201,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,complement(sF0_fnc))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f11200])).
% 5.17/1.22 fof(f11216,plain,(
% 5.17/1.22 top=join(sF2_fnc,complement(sF0_fnc))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f11201,f3994])).
% 5.17/1.22 fof(f11222,plain,(
% 5.17/1.22 meet(sF3_fnc,complement(sF0_fnc))=sF3_fnc),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f11201,f10212])).
% 5.17/1.22 fof(f11242,plain,(
% 5.17/1.22 meet(sF0_fnc,sF3_fnc)=complement(top)),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f11216,f341])).
% 5.17/1.22 fof(f11259,plain,(
% 5.17/1.22 meet(sF0_fnc,sF3_fnc)=zero),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f340,f11242])).
% 5.17/1.22 fof(f11520,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,complement(join(sF3_fnc,complement(complement(sF0_fnc)))))),
% 5.17/1.22 inference(paramodulation,[status(thm)],[f11222,f3091])).
% 5.17/1.22 fof(f11539,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,complement(join(sF3_fnc,sF0_fnc)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f6092,f11520])).
% 5.17/1.22 fof(f11540,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,complement(join(sF0_fnc,sF3_fnc)))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f16,f11539])).
% 5.17/1.22 fof(f11541,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,complement(top))),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f2760,f11540])).
% 5.17/1.22 fof(f11542,plain,(
% 5.17/1.22 complement(sF0_fnc)=join(sF3_fnc,zero)),
% 5.17/1.22 inference(forward_demodulation,[status(thm)],[f340,f11541])).
% 5.17/1.24 fof(f11543,plain,(
% 5.17/1.24 complement(sF0_fnc)=sF3_fnc),
% 5.17/1.24 inference(forward_demodulation,[status(thm)],[f6545,f11542])).
% 5.17/1.24 fof(f11579,plain,(
% 5.17/1.24 sF0_fnc=join(meet(sF3_fnc,sF0_fnc),complement(join(sF3_fnc,sF3_fnc)))),
% 5.17/1.24 inference(paramodulation,[status(thm)],[f11543,f3091])).
% 5.17/1.24 fof(f11619,plain,(
% 5.17/1.24 sF0_fnc=join(meet(sF0_fnc,sF3_fnc),complement(join(sF3_fnc,sF3_fnc)))),
% 5.17/1.24 inference(forward_demodulation,[status(thm)],[f5577,f11579])).
% 5.17/1.24 fof(f11620,plain,(
% 5.17/1.24 sF0_fnc=join(zero,complement(join(sF3_fnc,sF3_fnc)))),
% 5.17/1.24 inference(forward_demodulation,[status(thm)],[f11259,f11619])).
% 5.17/1.24 fof(f11621,plain,(
% 5.17/1.24 sF0_fnc=complement(join(sF3_fnc,sF3_fnc))),
% 5.17/1.24 inference(forward_demodulation,[status(thm)],[f6368,f11620])).
% 5.17/1.24 fof(f11622,plain,(
% 5.17/1.24 sF0_fnc=complement(sF3_fnc)),
% 5.17/1.24 inference(forward_demodulation,[status(thm)],[f6426,f11621])).
% 5.17/1.24 fof(f11645,plain,(
% 5.17/1.24 sF2_fnc=sF0_fnc),
% 5.17/1.24 inference(backward_demodulation,[status(thm)],[f11622,f35])).
% 5.17/1.24 fof(f11682,plain,(
% 5.17/1.24 $false),
% 5.17/1.24 inference(forward_subsumption_resolution,[status(thm)],[f11645,f36])).
% 5.17/1.24 % SZS output end CNFRefutation for theBenchmark.p
% 5.17/1.26 % Elapsed time: 0.830117 seconds
% 5.17/1.26 % CPU time: 6.399971 seconds
% 5.17/1.26 % Total memory used: 116.871 MB
% 5.17/1.26 % Net memory used: 110.766 MB
%------------------------------------------------------------------------------