%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL023+2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n011.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 02:03:37 PM UTC 2026
% Result : Theorem 0.69s 0.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n011.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Mon Sep 21 04:01:40 UTC 2026
% 0.16/0.43 % CPUTime :
% 0.16/0.44 % Drodi V4.1.1
% 0.69/0.82 % Refutation found
% 0.69/0.82 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.69/0.82 % SZS output start CNFRefutation for theBenchmark
% 0.69/0.82 fof(f1,axiom,(
% 0.69/0.82 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f2,axiom,(
% 0.69/0.82 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f3,axiom,(
% 0.69/0.82 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f4,axiom,(
% 0.69/0.82 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f5,axiom,(
% 0.69/0.82 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f6,axiom,(
% 0.69/0.82 (! [X0] : composition(X0,one) = X0 )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f7,axiom,(
% 0.69/0.82 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f8,axiom,(
% 0.69/0.82 (! [X0] : converse(converse(X0)) = X0 )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f10,axiom,(
% 0.69/0.82 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f11,axiom,(
% 0.69/0.82 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f12,axiom,(
% 0.69/0.82 (! [X0] : top = join(X0,complement(X0)) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f13,axiom,(
% 0.69/0.82 (! [X0] : zero = meet(X0,complement(X0)) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f14,axiom,(
% 0.69/0.82 (! [X0,X1,X2] : join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))) = composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f17,conjecture,(
% 0.69/0.82 (! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) )),
% 0.69/0.82 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.69/0.82 fof(f18,negated_conjecture,(
% 0.69/0.82 ~((! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2))) = composition(X0,meet(X1,X2)) ))),
% 0.69/0.82 inference(negated_conjecture,[status(cth)],[f17])).
% 0.69/0.82 fof(f19,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f1])).
% 0.69/0.82 fof(f20,plain,(
% 0.69/0.82 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f2])).
% 0.69/0.82 fof(f21,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f3])).
% 0.69/0.82 fof(f22,plain,(
% 0.69/0.82 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f4])).
% 0.69/0.82 fof(f23,plain,(
% 0.69/0.82 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f5])).
% 0.69/0.82 fof(f24,plain,(
% 0.69/0.82 ![X0]: (composition(X0,one)=X0)),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f6])).
% 0.69/0.82 fof(f25,plain,(
% 0.69/0.82 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f7])).
% 0.69/0.82 fof(f26,plain,(
% 0.69/0.82 ![X0]: (converse(converse(X0))=X0)),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f8])).
% 0.69/0.82 fof(f28,plain,(
% 0.69/0.82 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f10])).
% 0.69/0.82 fof(f29,plain,(
% 0.69/0.82 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f11])).
% 0.69/0.82 fof(f30,plain,(
% 0.69/0.82 ![X0]: (top=join(X0,complement(X0)))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f12])).
% 0.69/0.82 fof(f31,plain,(
% 0.69/0.82 ![X0]: (zero=meet(X0,complement(X0)))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f13])).
% 0.69/0.82 fof(f32,plain,(
% 0.69/0.82 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f14])).
% 0.69/0.82 fof(f35,plain,(
% 0.69/0.82 (?[X0,X1,X2]: ~join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(X0,meet(X1,X2)))=composition(X0,meet(X1,X2)))),
% 0.69/0.82 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 0.69/0.82 fof(f36,plain,(
% 0.69/0.82 ~join(composition(meet(sK0_skl,converse(sK1_skl)),meet(sK1_skl,sK2_skl)),composition(sK0_skl,meet(sK1_skl,sK2_skl)))=composition(sK0_skl,meet(sK1_skl,sK2_skl))),
% 0.69/0.82 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl,sK2_skl]),skolemize(X0,sK0_skl),skolemize(X1,sK1_skl),skolemize(X2,sK2_skl)],[f35])).
% 0.69/0.82 fof(f37,plain,(
% 0.69/0.82 ~join(composition(meet(sK0_skl,converse(sK1_skl)),meet(sK1_skl,sK2_skl)),composition(sK0_skl,meet(sK1_skl,sK2_skl)))=composition(sK0_skl,meet(sK1_skl,sK2_skl))),
% 0.69/0.82 inference(cnf_transformation,[status(thm)],[f36])).
% 0.69/0.82 fof(f38,definition,(
% 0.69/0.82 sF3_fnc=converse(sK1_skl)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.69/0.82 fof(f39,definition,(
% 0.69/0.82 sF2_fnc=meet(sK0_skl,sF3_fnc)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.69/0.82 fof(f40,definition,(
% 0.69/0.82 sF4_fnc=meet(sK1_skl,sK2_skl)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.69/0.82 fof(f41,definition,(
% 0.69/0.82 sF1_fnc=composition(sF2_fnc,sF4_fnc)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.69/0.82 fof(f42,definition,(
% 0.69/0.82 sF5_fnc=composition(sK0_skl,sF4_fnc)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.69/0.82 fof(f43,definition,(
% 0.69/0.82 sF0_fnc=join(sF1_fnc,sF5_fnc)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.69/0.82 fof(f44,definition,(
% 0.69/0.82 sF6_fnc=composition(sK0_skl,sF4_fnc)),
% 0.69/0.82 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.69/0.82 fof(f45,plain,(
% 0.69/0.82 ~sF0_fnc=sF6_fnc),
% 0.69/0.82 inference(definition_folding,[],[f37,f44,f43,f42,f41,f40,f39,f38])).
% 0.69/0.82 fof(f53,plain,(
% 0.69/0.82 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f20])).
% 0.69/0.82 fof(f56,plain,(
% 0.69/0.82 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f20])).
% 0.69/0.82 fof(f62,plain,(
% 0.69/0.82 ~sF0_fnc=sF5_fnc),
% 0.69/0.82 inference(backward_demodulation,[status(thm)],[f63,f45])).
% 0.69/0.82 fof(f63,plain,(
% 0.69/0.82 sF6_fnc=sF5_fnc),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f42,f44])).
% 0.69/0.82 fof(f64,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f21])).
% 0.69/0.82 fof(f67,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(complement(join(complement(X1),complement(X0))),complement(join(complement(X0),X1))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f21])).
% 0.69/0.82 fof(f70,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(X1,complement(X0)))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f21])).
% 0.69/0.82 fof(f76,plain,(
% 0.69/0.82 ![X0,X1]: (top=join(X0,join(X1,complement(join(X0,X1)))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f20,f30])).
% 0.69/0.82 fof(f80,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f30,f20])).
% 0.69/0.82 fof(f85,plain,(
% 0.69/0.82 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f24,f23])).
% 0.69/0.82 fof(f103,plain,(
% 0.69/0.82 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f26,f28])).
% 0.69/0.82 fof(f105,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.69/0.82 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 0.69/0.82 fof(f106,plain,(
% 0.69/0.82 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f30,f22])).
% 0.69/0.82 fof(f107,plain,(
% 0.69/0.82 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f22])).
% 0.69/0.82 fof(f113,plain,(
% 0.69/0.82 zero=complement(top)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f31,f106])).
% 0.69/0.82 fof(f161,plain,(
% 0.69/0.82 ![X0]: (composition(join(sF2_fnc,X0),sF4_fnc)=join(sF1_fnc,composition(X0,sF4_fnc)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f41,f25])).
% 0.69/0.82 fof(f379,plain,(
% 0.69/0.82 ![X0,X1,X2]: (top=join(meet(composition(X0,X1),X2),join(composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),complement(composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f32,f76])).
% 0.69/0.82 fof(f408,plain,(
% 0.69/0.82 ![X0,X1,X2]: (top=join(meet(composition(X0,X1),X2),top))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f30,f379])).
% 0.69/0.82 fof(f419,plain,(
% 0.69/0.82 ![X0,X1]: (top=join(meet(X0,X1),top))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f24,f408])).
% 0.69/0.82 fof(f427,plain,(
% 0.69/0.82 ![X0,X1]: (top=join(top,meet(X0,X1)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f419])).
% 0.69/0.82 fof(f551,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f22,f105])).
% 0.69/0.82 fof(f555,plain,(
% 0.69/0.82 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f30,f105])).
% 0.69/0.82 fof(f567,plain,(
% 0.69/0.82 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f113,f555])).
% 0.69/0.82 fof(f785,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f19,f551])).
% 0.69/0.82 fof(f856,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f22,f64])).
% 0.69/0.82 fof(f876,plain,(
% 0.69/0.82 ![X0,X1]: (join(join(complement(X0),X1),X0)=join(top,meet(X0,X1)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f856,f80])).
% 0.69/0.82 fof(f889,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(complement(X1),X1))=join(top,meet(X1,X0)))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f56,f876])).
% 0.69/0.82 fof(f890,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(complement(X1),X1))=top)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f427,f889])).
% 0.69/0.82 fof(f896,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(X1,complement(X0)))=top)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f53,f890])).
% 0.69/0.82 fof(f1091,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(X1,X0),complement(join(complement(X0),X1))))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f22,f67])).
% 0.69/0.82 fof(f1535,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f22,f70])).
% 0.69/0.82 fof(f1559,plain,(
% 0.69/0.82 ![X0,X1]: (join(join(X0,complement(X1)),X1)=top)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f1535,f896])).
% 0.69/0.82 fof(f1576,plain,(
% 0.69/0.82 ![X0,X1]: (join(complement(X0),join(X1,X0))=top)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f56,f1559])).
% 0.69/0.82 fof(f1838,plain,(
% 0.69/0.82 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=top)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f856,f1576])).
% 0.69/0.82 fof(f1866,plain,(
% 0.69/0.82 ![X0]: (join(complement(complement(X0)),complement(X0))=top)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f29,f1576])).
% 0.69/0.82 fof(f1889,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(join(X1,X0),X0),complement(top)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f1576,f1091])).
% 0.69/0.82 fof(f1916,plain,(
% 0.69/0.82 ![X0,X1]: (X0=join(meet(join(X1,X0),X0),zero))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f113,f1889])).
% 0.69/0.82 fof(f2069,plain,(
% 0.69/0.82 ![X0,X1]: (meet(meet(complement(X0),X1),X0)=complement(top))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f1838,f22])).
% 0.69/0.82 fof(f2096,plain,(
% 0.69/0.82 ![X0,X1]: (meet(meet(complement(X0),X1),X0)=zero)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f113,f2069])).
% 0.69/0.82 fof(f2311,plain,(
% 0.69/0.82 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f1866,f22])).
% 0.69/0.82 fof(f2337,plain,(
% 0.69/0.82 ![X0]: (meet(complement(X0),X0)=zero)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f113,f2311])).
% 0.69/0.82 fof(f2766,plain,(
% 0.69/0.82 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f24,f103])).
% 0.69/0.82 fof(f2796,plain,(
% 0.69/0.82 ![X0]: (X0=composition(converse(one),X0))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f26,f2766])).
% 0.69/0.82 fof(f2829,plain,(
% 0.69/0.82 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f85,f2796])).
% 0.69/0.82 fof(f2830,plain,(
% 0.69/0.82 one=converse(one)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f24,f2796])).
% 0.69/0.82 fof(f2851,plain,(
% 0.69/0.82 ![X0]: (composition(one,X0)=X0)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f2796,f2829])).
% 0.69/0.82 fof(f2917,plain,(
% 0.69/0.82 ![X0]: (join(composition(converse(one),complement(X0)),complement(X0))=complement(X0))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f2851,f29])).
% 0.69/0.82 fof(f2947,plain,(
% 0.69/0.82 ![X0]: (join(composition(one,complement(X0)),complement(X0))=complement(X0))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f2830,f2917])).
% 0.69/0.82 fof(f2948,plain,(
% 0.69/0.82 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f2851,f2947])).
% 0.69/0.82 fof(f3043,plain,(
% 0.69/0.82 ![X0]: (X0=join(meet(complement(X0),X0),complement(complement(X0))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f2948,f1091])).
% 0.69/0.82 fof(f3073,plain,(
% 0.69/0.82 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f2337,f3043])).
% 0.69/0.82 fof(f3086,plain,(
% 0.69/0.82 ![X0]: (complement(complement(X0))=join(meet(X0,complement(complement(X0))),zero))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f3073,f1916])).
% 0.69/0.82 fof(f3095,plain,(
% 0.69/0.82 ![X0]: (complement(complement(X0))=X0)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f567,f3086])).
% 0.69/0.82 fof(f3200,plain,(
% 0.69/0.82 ![X0]: (join(complement(complement(X0)),X0)=complement(complement(X0)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f3095,f2948])).
% 0.69/0.82 fof(f3203,plain,(
% 0.69/0.82 ![X0,X1]: (meet(meet(X0,X1),complement(X0))=zero)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f3095,f2096])).
% 0.69/0.82 fof(f3227,plain,(
% 0.69/0.82 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f3095,f3200])).
% 0.69/0.82 fof(f3228,plain,(
% 0.69/0.82 ![X0]: (join(X0,X0)=X0)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f3095,f3227])).
% 0.69/0.82 fof(f3258,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f53,f3228])).
% 0.69/0.82 fof(f3272,plain,(
% 0.69/0.82 ![X0]: (X0=join(complement(complement(X0)),meet(X0,complement(X0))))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f3228,f856])).
% 0.69/0.82 fof(f3291,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f56,f3258])).
% 0.69/0.82 fof(f3292,plain,(
% 0.69/0.82 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f3228,f3291])).
% 0.69/0.82 fof(f3307,plain,(
% 0.69/0.82 ![X0]: (X0=join(X0,meet(X0,complement(X0))))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f3095,f3272])).
% 0.69/0.82 fof(f3308,plain,(
% 0.69/0.82 ![X0]: (X0=join(X0,zero))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f31,f3307])).
% 0.69/0.82 fof(f5126,plain,(
% 0.69/0.82 meet(sF2_fnc,complement(sK0_skl))=zero),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f39,f3203])).
% 0.69/0.82 fof(f5350,plain,(
% 0.69/0.82 sF2_fnc=join(complement(join(complement(sF2_fnc),complement(sK0_skl))),zero)),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f5126,f856])).
% 0.69/0.82 fof(f5370,plain,(
% 0.69/0.82 sF2_fnc=complement(join(complement(sF2_fnc),complement(sK0_skl)))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f3308,f5350])).
% 0.69/0.82 fof(f5371,plain,(
% 0.69/0.82 sF2_fnc=meet(sK0_skl,sF2_fnc)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f107,f5370])).
% 0.69/0.82 fof(f5752,plain,(
% 0.69/0.82 ![X0,X1]: (join(meet(X0,X1),X0)=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f785,f3292])).
% 0.69/0.82 fof(f5849,plain,(
% 0.69/0.82 ![X0,X1]: (join(meet(X0,X1),X0)=X0)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f551,f5752])).
% 0.69/0.82 fof(f6049,plain,(
% 0.69/0.82 join(sF2_fnc,sK0_skl)=sK0_skl),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f5371,f5849])).
% 0.69/0.82 fof(f6241,plain,(
% 0.69/0.82 composition(sK0_skl,sF4_fnc)=join(sF1_fnc,composition(sK0_skl,sF4_fnc))),
% 0.69/0.82 inference(paramodulation,[status(thm)],[f6049,f161])).
% 0.69/0.82 fof(f6268,plain,(
% 0.69/0.82 sF5_fnc=join(sF1_fnc,composition(sK0_skl,sF4_fnc))),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f42,f6241])).
% 0.69/0.82 fof(f6269,plain,(
% 0.69/0.82 sF5_fnc=join(sF1_fnc,sF5_fnc)),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f42,f6268])).
% 0.69/0.82 fof(f6270,plain,(
% 0.69/0.82 sF5_fnc=sF0_fnc),
% 0.69/0.82 inference(forward_demodulation,[status(thm)],[f43,f6269])).
% 0.69/0.82 fof(f6271,plain,(
% 0.69/0.82 $false),
% 0.69/0.82 inference(forward_subsumption_resolution,[status(thm)],[f6270,f62])).
% 0.69/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 1.76/0.86 % Elapsed time: 0.405232 seconds
% 1.76/0.86 % CPU time: 2.954197 seconds
% 1.76/0.86 % Total memory used: 59.997 MB
% 1.76/0.86 % Net memory used: 59.128 MB
%------------------------------------------------------------------------------