%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL024+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 : 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 02:03:37 PM UTC 2026
% Result : Theorem 68.57s 9.22s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : REL024+2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.42 % Computer : n020.cluster.edu
% 0.16/0.42 % Model : x86_64 x86_64
% 0.16/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.42 % Memory : 8046.5625MB
% 0.16/0.42 % OS : Linux 6.8.0-71-generic
% 0.16/0.42 % CPULimit : 300
% 0.16/0.42 % WCLimit : 300
% 0.16/0.42 % DateTime : Mon Sep 21 04:02:33 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 68.57/9.22 % Refutation found
% 68.57/9.22 % SZS status Theorem for theBenchmark: Theorem is valid
% 68.57/9.22 % SZS output start CNFRefutation for theBenchmark
% 68.57/9.22 fof(f1,axiom,(
% 68.57/9.22 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f2,axiom,(
% 68.57/9.22 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f3,axiom,(
% 68.57/9.22 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f4,axiom,(
% 68.57/9.22 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f6,axiom,(
% 68.57/9.22 (! [X0] : composition(X0,one) = X0 )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f7,axiom,(
% 68.57/9.22 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f8,axiom,(
% 68.57/9.22 (! [X0] : converse(converse(X0)) = X0 )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f9,axiom,(
% 68.57/9.22 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f10,axiom,(
% 68.57/9.22 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f11,axiom,(
% 68.57/9.22 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f12,axiom,(
% 68.57/9.22 (! [X0] : top = join(X0,complement(X0)) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f13,axiom,(
% 68.57/9.22 (! [X0] : zero = meet(X0,complement(X0)) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f17,conjecture,(
% 68.57/9.22 (! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2) )),
% 68.57/9.22 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 68.57/9.22 fof(f18,negated_conjecture,(
% 68.57/9.22 ~((! [X0,X1,X2] : join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2)) = composition(meet(X0,converse(X1)),X2) ))),
% 68.57/9.22 inference(negated_conjecture,[status(cth)],[f17])).
% 68.57/9.22 fof(f19,plain,(
% 68.57/9.22 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f1])).
% 68.57/9.22 fof(f20,plain,(
% 68.57/9.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f2])).
% 68.57/9.22 fof(f21,plain,(
% 68.57/9.22 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f3])).
% 68.57/9.22 fof(f22,plain,(
% 68.57/9.22 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f4])).
% 68.57/9.22 fof(f24,plain,(
% 68.57/9.22 ![X0]: (composition(X0,one)=X0)),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f6])).
% 68.57/9.22 fof(f25,plain,(
% 68.57/9.22 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f7])).
% 68.57/9.22 fof(f26,plain,(
% 68.57/9.22 ![X0]: (converse(converse(X0))=X0)),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f8])).
% 68.57/9.22 fof(f27,plain,(
% 68.57/9.22 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f9])).
% 68.57/9.22 fof(f28,plain,(
% 68.57/9.22 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f10])).
% 68.57/9.22 fof(f29,plain,(
% 68.57/9.22 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f11])).
% 68.57/9.22 fof(f30,plain,(
% 68.57/9.22 ![X0]: (top=join(X0,complement(X0)))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f12])).
% 68.57/9.22 fof(f31,plain,(
% 68.57/9.22 ![X0]: (zero=meet(X0,complement(X0)))),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f13])).
% 68.57/9.22 fof(f35,plain,(
% 68.57/9.22 (?[X0,X1,X2]: ~join(composition(meet(X0,converse(X1)),meet(X1,X2)),composition(meet(X0,converse(X1)),X2))=composition(meet(X0,converse(X1)),X2))),
% 68.57/9.22 inference(pre_NNF_transformation,[status(thm)],[f18])).
% 68.57/9.22 fof(f36,plain,(
% 68.57/9.22 ~join(composition(meet(sK0_skl,converse(sK1_skl)),meet(sK1_skl,sK2_skl)),composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl))=composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)),
% 68.57/9.22 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])).
% 68.57/9.22 fof(f37,plain,(
% 68.57/9.22 ~join(composition(meet(sK0_skl,converse(sK1_skl)),meet(sK1_skl,sK2_skl)),composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl))=composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)),
% 68.57/9.22 inference(cnf_transformation,[status(thm)],[f36])).
% 68.57/9.22 fof(f48,plain,(
% 68.57/9.22 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f22,f21])).
% 68.57/9.22 fof(f54,plain,(
% 68.57/9.22 ~join(composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl),composition(meet(sK0_skl,converse(sK1_skl)),meet(sK1_skl,sK2_skl)))=composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f19,f37])).
% 68.57/9.22 fof(f60,plain,(
% 68.57/9.22 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f26,f28])).
% 68.57/9.22 fof(f74,plain,(
% 68.57/9.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f19,f20])).
% 68.57/9.22 fof(f77,plain,(
% 68.57/9.22 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f19,f20])).
% 68.57/9.22 fof(f85,plain,(
% 68.57/9.22 ![X0,X1,X2]: (converse(join(composition(converse(X0),X1),X2))=join(composition(converse(X1),X0),converse(X2)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f60,f27])).
% 68.57/9.22 fof(f86,plain,(
% 68.57/9.22 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f26,f27])).
% 68.57/9.22 fof(f116,plain,(
% 68.57/9.22 ![X0,X1,X2]: (composition(join(X0,converse(X1)),converse(X2))=join(composition(X0,converse(X2)),converse(composition(X2,X1))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f28,f25])).
% 68.57/9.22 fof(f153,plain,(
% 68.57/9.22 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f24,f60])).
% 68.57/9.22 fof(f160,plain,(
% 68.57/9.22 ![X0]: (X0=composition(converse(one),X0))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f26,f153])).
% 68.57/9.22 fof(f165,plain,(
% 68.57/9.22 ![X0,X1]: (top=join(X0,join(X1,complement(join(X0,X1)))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f20,f30])).
% 68.57/9.22 fof(f168,plain,(
% 68.57/9.22 ![X0,X1]: (join(complement(X0),join(X0,X1))=join(top,X1))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f30,f77])).
% 68.57/9.22 fof(f171,plain,(
% 68.57/9.22 one=converse(one)),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f24,f160])).
% 68.57/9.22 fof(f181,plain,(
% 68.57/9.22 ![X0]: (X0=composition(one,X0))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f171,f160])).
% 68.57/9.22 fof(f238,plain,(
% 68.57/9.22 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f30,f22])).
% 68.57/9.22 fof(f239,plain,(
% 68.57/9.22 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f19,f22])).
% 68.57/9.22 fof(f245,plain,(
% 68.57/9.22 zero=complement(top)),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f31,f238])).
% 68.57/9.22 fof(f255,plain,(
% 68.57/9.22 ![X0]: (join(composition(one,complement(composition(one,X0))),complement(X0))=complement(X0))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f171,f29])).
% 68.57/9.22 fof(f268,plain,(
% 68.57/9.22 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f181,f255])).
% 68.57/9.22 fof(f269,plain,(
% 68.57/9.22 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f181,f268])).
% 68.57/9.22 fof(f367,plain,(
% 68.57/9.22 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f269,f22])).
% 68.57/9.22 fof(f490,plain,(
% 68.57/9.22 ![X0,X1,X2]: (converse(composition(X0,join(converse(X1),X2)))=composition(join(X1,converse(X2)),converse(X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f86,f28])).
% 68.57/9.22 fof(f508,plain,(
% 68.57/9.22 ![X0,X1,X2]: (converse(composition(X0,join(converse(X1),X2)))=join(composition(X1,converse(X0)),converse(composition(X0,X2))))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f490,f116])).
% 68.57/9.22 fof(f666,plain,(
% 68.57/9.22 ![X0]: (join(complement(complement(X0)),complement(X0))=join(top,complement(X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f269,f168])).
% 68.57/9.22 fof(f1005,plain,(
% 68.57/9.22 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f30,f239])).
% 68.57/9.22 fof(f1025,plain,(
% 68.57/9.22 ![X0]: (meet(complement(X0),X0)=zero)),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f245,f1005])).
% 68.57/9.22 fof(f1049,plain,(
% 68.57/9.22 ![X0]: (complement(X0)=join(zero,complement(join(complement(complement(X0)),X0))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f1025,f48])).
% 68.57/9.22 fof(f1051,plain,(
% 68.57/9.22 ![X0]: (X0=join(zero,complement(join(complement(X0),complement(X0)))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f31,f48])).
% 68.57/9.22 fof(f1052,plain,(
% 68.57/9.22 ![X0]: (X0=join(complement(complement(X0)),complement(join(complement(X0),X0))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f367,f48])).
% 68.57/9.22 fof(f1053,plain,(
% 68.57/9.22 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f239,f48])).
% 68.57/9.22 fof(f1069,plain,(
% 68.57/9.22 ![X0,X1,X2]: (join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2))=join(X2,X0))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f48,f74])).
% 68.57/9.22 fof(f1071,plain,(
% 68.57/9.22 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=join(top,complement(join(complement(X0),X1))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f48,f168])).
% 68.57/9.22 fof(f1072,plain,(
% 68.57/9.22 ![X0,X1]: (top=join(meet(X0,X1),join(complement(join(complement(X0),X1)),complement(X0))))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f48,f165])).
% 68.57/9.22 fof(f1080,plain,(
% 68.57/9.22 ![X0]: (X0=join(zero,meet(X0,X0)))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f239,f1051])).
% 68.57/9.22 fof(f1081,plain,(
% 68.57/9.22 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f367,f1080])).
% 68.57/9.22 fof(f1094,plain,(
% 68.57/9.22 ![X0]: (top=join(top,complement(X0)))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1098,f666])).
% 68.57/9.22 fof(f1095,plain,(
% 68.57/9.22 ![X0]: (X0=join(complement(complement(X0)),complement(top)))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1098,f1052])).
% 68.57/9.22 fof(f1098,plain,(
% 68.57/9.22 ![X0]: (top=join(complement(X0),X0))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f1069,f1072])).
% 68.57/9.22 fof(f1101,plain,(
% 68.57/9.22 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=top)),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1094,f1071])).
% 68.57/9.22 fof(f1104,plain,(
% 68.57/9.22 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f245,f1095])).
% 68.57/9.22 fof(f1545,plain,(
% 68.57/9.22 ![X0]: (complement(X0)=join(meet(complement(X0),zero),complement(X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f1104,f48])).
% 68.57/9.22 fof(f1701,plain,(
% 68.57/9.22 ![X0]: (join(complement(zero),X0)=top)),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f31,f1101])).
% 68.57/9.22 fof(f1738,plain,(
% 68.57/9.22 ![X0]: (meet(X0,zero)=complement(top))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f1701,f239])).
% 68.57/9.22 fof(f1767,plain,(
% 68.57/9.22 ![X0]: (complement(X0)=join(zero,complement(X0)))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1768,f1545])).
% 68.57/9.22 fof(f1768,plain,(
% 68.57/9.22 ![X0]: (meet(X0,zero)=zero)),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f245,f1738])).
% 68.57/9.22 fof(f1787,plain,(
% 68.57/9.22 ![X0]: (X0=complement(complement(X0)))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1767,f1081])).
% 68.57/9.22 fof(f1790,plain,(
% 68.57/9.22 ![X0]: (complement(X0)=complement(join(complement(complement(X0)),X0)))),
% 68.57/9.22 inference(backward_demodulation,[status(thm)],[f1767,f1049])).
% 68.57/9.22 fof(f1830,plain,(
% 68.57/9.22 ![X0]: (complement(X0)=complement(join(X0,X0)))),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f1787,f1790])).
% 68.57/9.22 fof(f2912,plain,(
% 68.57/9.22 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f1830,f1787])).
% 68.57/9.22 fof(f2927,plain,(
% 68.57/9.22 ![X0]: (join(X0,X0)=X0)),
% 68.57/9.22 inference(forward_demodulation,[status(thm)],[f1787,f2912])).
% 68.57/9.22 fof(f2946,plain,(
% 68.57/9.22 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f74,f2927])).
% 68.57/9.22 fof(f2963,plain,(
% 68.57/9.22 ![X0,X1]: (join(X0,X1)=join(X1,join(join(X0,X1),X0)))),
% 68.57/9.22 inference(paramodulation,[status(thm)],[f2927,f74])).
% 68.57/9.42 fof(f2973,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f77,f2946])).
% 68.57/9.42 fof(f2978,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f2927,f2973])).
% 68.57/9.42 fof(f2990,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,join(X0,X0))))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f77,f2963])).
% 68.57/9.42 fof(f2991,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,X1)=join(join(X0,X0),X1))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f2978,f2990])).
% 68.57/9.42 fof(f2992,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f77,f2991])).
% 68.57/9.42 fof(f8567,plain,(
% 68.57/9.42 ![X0,X1]: (join(X0,X1)=join(X0,join(X1,X0)))),
% 68.57/9.42 inference(paramodulation,[status(thm)],[f74,f2992])).
% 68.57/9.42 fof(f9711,plain,(
% 68.57/9.42 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 68.57/9.42 inference(paramodulation,[status(thm)],[f19,f1053])).
% 68.57/9.42 fof(f9764,plain,(
% 68.57/9.42 ![X0,X1]: (join(meet(X0,X1),meet(X1,complement(X0)))=join(meet(X0,X1),X1))),
% 68.57/9.42 inference(paramodulation,[status(thm)],[f1053,f8567])).
% 68.57/9.42 fof(f9826,plain,(
% 68.57/9.42 ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f9711,f9764])).
% 68.57/9.42 fof(f10259,plain,(
% 68.57/9.42 ![X0,X1]: (X0=join(X0,meet(X1,X0)))),
% 68.57/9.42 inference(paramodulation,[status(thm)],[f19,f9826])).
% 68.57/9.42 fof(f24227,plain,(
% 68.57/9.42 ![X0,X1,X2]: (converse(converse(composition(X0,join(converse(converse(X1)),X2))))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 68.57/9.42 inference(paramodulation,[status(thm)],[f508,f85])).
% 68.57/9.42 fof(f24367,plain,(
% 68.57/9.42 ![X0,X1,X2]: (composition(X0,join(converse(converse(X1)),X2))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f26,f24227])).
% 68.57/9.42 fof(f24368,plain,(
% 68.57/9.42 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f26,f24367])).
% 68.57/9.42 fof(f24369,plain,(
% 68.57/9.42 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(X0,X1),converse(converse(composition(X0,X2)))))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f26,f24368])).
% 68.57/9.42 fof(f24370,plain,(
% 68.57/9.42 ~composition(meet(sK0_skl,converse(sK1_skl)),join(sK2_skl,meet(sK1_skl,sK2_skl)))=composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)),
% 68.57/9.42 inference(backward_demodulation,[status(thm)],[f24381,f54])).
% 68.57/9.42 fof(f24381,plain,(
% 68.57/9.42 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(X0,X1),composition(X0,X2)))),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f26,f24369])).
% 68.57/9.42 fof(f24574,plain,(
% 68.57/9.42 ~composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)=composition(meet(sK0_skl,converse(sK1_skl)),sK2_skl)),
% 68.57/9.42 inference(forward_demodulation,[status(thm)],[f10259,f24370])).
% 68.57/9.42 fof(f24575,plain,(
% 68.57/9.42 $false),
% 68.57/9.42 inference(trivial_equality_resolution,[status(thm)],[f24574])).
% 68.57/9.42 % SZS output end CNFRefutation for theBenchmark.p
% 2.51/9.43 % Elapsed time: 8.993696 seconds
% 2.51/9.43 % CPU time: 70.727301 seconds
% 2.51/9.43 % Total memory used: 582.245 MB
% 2.51/9.43 % Net memory used: 574.091 MB
%------------------------------------------------------------------------------