%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL013+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 : n010.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 02:03:34 PM UTC 2026
% Result : Theorem 29.64s 4.30s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL013+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.45 % Computer : n010.cluster.edu
% 0.17/0.45 % Model : x86_64 x86_64
% 0.17/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.45 % Memory : 8046.5625MB
% 0.17/0.45 % OS : Linux 6.8.0-71-generic
% 0.17/0.45 % CPULimit : 300
% 0.17/0.45 % WCLimit : 300
% 0.17/0.45 % DateTime : Mon Sep 21 03:58:54 UTC 2026
% 0.17/0.45 % CPUTime :
% 0.17/0.48 % Drodi V4.1.1
% 29.64/4.30 % Refutation found
% 29.64/4.30 % SZS status Theorem for theBenchmark: Theorem is valid
% 29.64/4.30 % SZS output start CNFRefutation for theBenchmark
% 29.64/4.30 fof(f1,axiom,(
% 29.64/4.30 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f2,axiom,(
% 29.64/4.30 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f3,axiom,(
% 29.64/4.30 (! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f4,axiom,(
% 29.64/4.30 (! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f5,axiom,(
% 29.64/4.30 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f6,axiom,(
% 29.64/4.30 (! [X0] : composition(X0,one) = X0 )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f7,axiom,(
% 29.64/4.30 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f8,axiom,(
% 29.64/4.30 (! [X0] : converse(converse(X0)) = X0 )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f9,axiom,(
% 29.64/4.30 (! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f10,axiom,(
% 29.64/4.30 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f11,axiom,(
% 29.64/4.30 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f12,axiom,(
% 29.64/4.30 (! [X0] : top = join(X0,complement(X0)) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f13,axiom,(
% 29.64/4.30 (! [X0] : zero = meet(X0,complement(X0)) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f14,conjecture,(
% 29.64/4.30 (! [X0] :( composition(X0,zero) = zero& composition(zero,X0) = zero ) )),
% 29.64/4.30 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 29.64/4.30 fof(f15,negated_conjecture,(
% 29.64/4.30 ~((! [X0] :( composition(X0,zero) = zero& composition(zero,X0) = zero ) ))),
% 29.64/4.30 inference(negated_conjecture,[status(cth)],[f14])).
% 29.64/4.30 fof(f16,plain,(
% 29.64/4.30 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f1])).
% 29.64/4.30 fof(f17,plain,(
% 29.64/4.30 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f2])).
% 29.64/4.30 fof(f18,plain,(
% 29.64/4.30 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f3])).
% 29.64/4.30 fof(f19,plain,(
% 29.64/4.30 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f4])).
% 29.64/4.30 fof(f20,plain,(
% 29.64/4.30 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f5])).
% 29.64/4.30 fof(f21,plain,(
% 29.64/4.30 ![X0]: (composition(X0,one)=X0)),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f6])).
% 29.64/4.30 fof(f22,plain,(
% 29.64/4.30 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f7])).
% 29.64/4.30 fof(f23,plain,(
% 29.64/4.30 ![X0]: (converse(converse(X0))=X0)),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f8])).
% 29.64/4.30 fof(f24,plain,(
% 29.64/4.30 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f9])).
% 29.64/4.30 fof(f25,plain,(
% 29.64/4.30 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f10])).
% 29.64/4.30 fof(f26,plain,(
% 29.64/4.30 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f11])).
% 29.64/4.30 fof(f27,plain,(
% 29.64/4.30 ![X0]: (top=join(X0,complement(X0)))),
% 29.64/4.30 inference(cnf_transformation,[status(thm)],[f12])).
% 29.64/4.30 fof(f28,plain,(
% 29.64/4.31 ![X0]: (zero=meet(X0,complement(X0)))),
% 29.64/4.31 inference(cnf_transformation,[status(thm)],[f13])).
% 29.64/4.31 fof(f29,plain,(
% 29.64/4.31 (?[X0]: (~composition(X0,zero)=zero|~composition(zero,X0)=zero))),
% 29.64/4.31 inference(pre_NNF_transformation,[status(thm)],[f15])).
% 29.64/4.31 fof(f30,plain,(
% 29.64/4.31 (?[X0]: ~composition(X0,zero)=zero)|(?[X0]: ~composition(zero,X0)=zero)),
% 29.64/4.31 inference(miniscoping,[status(thm)],[f29])).
% 29.64/4.31 fof(f31,plain,(
% 29.64/4.31 ~composition(sK0_skl,zero)=zero|~composition(zero,sK1_skl)=zero),
% 29.64/4.31 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(X0,sK0_skl),skolemize(X0,sK1_skl)],[f30])).
% 29.64/4.31 fof(f32,plain,(
% 29.64/4.31 ~composition(sK0_skl,zero)=zero|~composition(zero,sK1_skl)=zero),
% 29.64/4.31 inference(cnf_transformation,[status(thm)],[f31])).
% 29.64/4.31 fof(f130,plain,(
% 29.64/4.31 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f21,f20])).
% 29.64/4.31 fof(f161,plain,(
% 29.64/4.31 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X1,X2),composition(X0,X2)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f22,f16])).
% 29.64/4.31 fof(f305,plain,(
% 29.64/4.31 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f17])).
% 29.64/4.31 fof(f306,plain,(
% 29.64/4.31 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f17])).
% 29.64/4.31 fof(f319,plain,(
% 29.64/4.31 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f17])).
% 29.64/4.31 fof(f320,plain,(
% 29.64/4.31 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f17])).
% 29.64/4.31 fof(f327,plain,(
% 29.64/4.31 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f19])).
% 29.64/4.31 fof(f328,plain,(
% 29.64/4.31 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f19])).
% 29.64/4.31 fof(f334,plain,(
% 29.64/4.31 zero=complement(top)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f28,f327])).
% 29.64/4.31 fof(f343,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f23,f24])).
% 29.64/4.31 fof(f344,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(X0,converse(X1)))=join(converse(X0),X1))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f23,f24])).
% 29.64/4.31 fof(f349,plain,(
% 29.64/4.31 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f23,f25])).
% 29.64/4.31 fof(f368,plain,(
% 29.64/4.31 ![X0,X1,X2]: (composition(join(X0,converse(X1)),converse(X2))=join(composition(X0,converse(X2)),converse(composition(X2,X1))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f25,f22])).
% 29.64/4.31 fof(f388,plain,(
% 29.64/4.31 ![X0]: (join(X0,join(complement(X0),complement(top)))=top)),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f305])).
% 29.64/4.31 fof(f398,plain,(
% 29.64/4.31 ![X0]: (join(X0,join(complement(X0),zero))=top)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f334,f388])).
% 29.64/4.31 fof(f407,plain,(
% 29.64/4.31 ![X0]: (join(X0,join(zero,complement(X0)))=top)),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f398])).
% 29.64/4.31 fof(f436,plain,(
% 29.64/4.31 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f19,f18])).
% 29.64/4.31 fof(f439,plain,(
% 29.64/4.31 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f19,f436])).
% 29.64/4.31 fof(f443,plain,(
% 29.64/4.31 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f436])).
% 29.64/4.31 fof(f455,plain,(
% 29.64/4.31 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f334,f443])).
% 29.64/4.31 fof(f463,plain,(
% 29.64/4.31 ![X0]: (join(composition(converse(X0),complement(composition(X0,top))),zero)=complement(top))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f334,f26])).
% 29.64/4.31 fof(f470,plain,(
% 29.64/4.31 ![X0]: (join(composition(converse(X0),complement(composition(X0,top))),zero)=zero)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f334,f463])).
% 29.64/4.31 fof(f474,plain,(
% 29.64/4.31 ![X0,X1,X2]: (composition(join(X0,X1),X2)=composition(join(X1,X0),X2))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f22,f161])).
% 29.64/4.31 fof(f508,plain,(
% 29.64/4.31 ![X0,X1,X2]: (composition(converse(join(X0,X1)),X2)=composition(join(converse(X1),converse(X0)),X2))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f24,f474])).
% 29.64/4.31 fof(f639,plain,(
% 29.64/4.31 ![X0,X1,X2]: (composition(converse(join(X0,X1)),X2)=composition(converse(join(X1,X0)),X2))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f24,f508])).
% 29.64/4.31 fof(f819,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(X0,X1))=composition(converse(join(X1,X0)),one))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f21,f639])).
% 29.64/4.31 fof(f957,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(X0,X1))=converse(join(X1,X0)))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f21,f819])).
% 29.64/4.31 fof(f1085,plain,(
% 29.64/4.31 ![X0,X1,X2]: (converse(join(X0,join(X1,X2)))=converse(join(X2,join(X0,X1))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f17,f957])).
% 29.64/4.31 fof(f1570,plain,(
% 29.64/4.31 ![X0,X1]: (composition(join(X0,converse(one)),converse(X1))=join(composition(X0,converse(X1)),converse(X1)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f21,f368])).
% 29.64/4.31 fof(f1633,plain,(
% 29.64/4.31 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f439])).
% 29.64/4.31 fof(f1654,plain,(
% 29.64/4.31 ![X0]: (X0=join(zero,meet(X0,complement(complement(X0)))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f455])).
% 29.64/4.31 fof(f1674,plain,(
% 29.64/4.31 ![X0]: (X0=join(meet(X0,X0),zero))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f28,f1633])).
% 29.64/4.31 fof(f2060,plain,(
% 29.64/4.31 ![X0]: (converse(join(zero,join(complement(X0),X0)))=converse(top))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f407,f1085])).
% 29.64/4.31 fof(f2193,plain,(
% 29.64/4.31 ![X0]: (converse(converse(top))=join(zero,join(complement(X0),X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2060,f23])).
% 29.64/4.31 fof(f2206,plain,(
% 29.64/4.31 ![X0]: (top=join(zero,join(complement(X0),X0)))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f23,f2193])).
% 29.64/4.31 fof(f2656,plain,(
% 29.64/4.31 ![X0,X1]: (join(join(complement(X0),X0),join(zero,X1))=join(top,X1))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2206,f320])).
% 29.64/4.31 fof(f2732,plain,(
% 29.64/4.31 ![X0,X1]: (join(X0,join(complement(X0),join(zero,X1)))=join(top,X1))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f320,f2656])).
% 29.64/4.31 fof(f2733,plain,(
% 29.64/4.31 ![X0]: (join(top,join(zero,X0))=join(top,X0))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f319,f2732])).
% 29.64/4.31 fof(f2765,plain,(
% 29.64/4.31 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f19,f328])).
% 29.64/4.31 fof(f2766,plain,(
% 29.64/4.31 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f328])).
% 29.64/4.31 fof(f2776,plain,(
% 29.64/4.31 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f328,f436])).
% 29.64/4.31 fof(f2794,plain,(
% 29.64/4.31 ![X0]: (meet(complement(X0),X0)=zero)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f334,f2766])).
% 29.64/4.31 fof(f2811,plain,(
% 29.64/4.31 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2765,f1633])).
% 29.64/4.31 fof(f2857,plain,(
% 29.64/4.31 ![X0]: (complement(complement(X0))=join(zero,meet(X0,complement(complement(X0)))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2794,f2776])).
% 29.64/4.31 fof(f2890,plain,(
% 29.64/4.31 ![X0]: (complement(complement(X0))=X0)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f1654,f2857])).
% 29.64/4.31 fof(f2915,plain,(
% 29.64/4.31 ![X0]: (top=join(complement(X0),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2890,f27])).
% 29.64/4.31 fof(f3079,plain,(
% 29.64/4.31 ![X0]: (join(top,join(X0,zero))=join(top,X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f16,f2733])).
% 29.64/4.31 fof(f3148,plain,(
% 29.64/4.31 ![X0,X1]: (join(top,join(join(X0,zero),X1))=join(join(top,X0),X1))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f3079,f17])).
% 29.64/4.31 fof(f3164,plain,(
% 29.64/4.31 ![X0,X1]: (join(top,join(zero,join(X0,X1)))=join(join(top,X0),X1))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f320,f3148])).
% 29.64/4.31 fof(f3165,plain,(
% 29.64/4.31 ![X0,X1]: (join(top,join(X0,X1))=join(join(top,X0),X1))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f2733,f3164])).
% 29.64/4.31 fof(f3166,plain,(
% 29.64/4.31 ![X0,X1]: (join(top,join(X0,X1))=join(X0,join(top,X1)))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f320,f3165])).
% 29.64/4.31 fof(f3300,plain,(
% 29.64/4.31 ![X0,X1]: (join(X0,join(X1,top))=join(X0,join(top,X1)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f306,f3166])).
% 29.64/4.31 fof(f4562,plain,(
% 29.64/4.31 ![X0]: (top=join(complement(join(X0,top)),join(top,X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2915,f3300])).
% 29.64/4.31 fof(f5364,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(X0,converse(X1)))=join(X1,converse(X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f957,f343])).
% 29.64/4.31 fof(f5447,plain,(
% 29.64/4.31 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f957,f344])).
% 29.64/4.31 fof(f5681,plain,(
% 29.64/4.31 ![X0]: (converse(top)=join(converse(complement(converse(X0))),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f27,f5447])).
% 29.64/4.31 fof(f8258,plain,(
% 29.64/4.31 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f21,f349])).
% 29.64/4.31 fof(f8314,plain,(
% 29.64/4.31 ![X0]: (X0=composition(converse(one),X0))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f23,f8258])).
% 29.64/4.31 fof(f9609,plain,(
% 29.64/4.31 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f130,f8314])).
% 29.64/4.31 fof(f9610,plain,(
% 29.64/4.31 one=converse(one)),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f21,f8314])).
% 29.64/4.31 fof(f9702,plain,(
% 29.64/4.31 ![X0]: (composition(one,X0)=X0)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f8314,f9609])).
% 29.64/4.31 fof(f9854,plain,(
% 29.64/4.31 ![X0]: (join(composition(converse(one),complement(X0)),complement(X0))=complement(X0))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f9702,f26])).
% 29.64/4.31 fof(f9922,plain,(
% 29.64/4.31 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f8314,f9854])).
% 29.64/4.31 fof(f9990,plain,(
% 29.64/4.31 ![X0]: (join(X0,complement(complement(X0)))=complement(complement(X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f2890,f9922])).
% 29.64/4.31 fof(f10004,plain,(
% 29.64/4.31 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f9922,f328])).
% 29.64/4.31 fof(f10007,plain,(
% 29.64/4.31 ![X0]: (X0=join(meet(X0,complement(X0)),complement(complement(X0))))),
% 29.64/4.31 inference(paramodulation,[status(thm)],[f9922,f436])).
% 29.64/4.31 fof(f10019,plain,(
% 29.64/4.31 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f2890,f9990])).
% 29.64/4.31 fof(f10020,plain,(
% 29.64/4.31 ![X0]: (join(X0,X0)=X0)),
% 29.64/4.31 inference(forward_demodulation,[status(thm)],[f2890,f10019])).
% 29.64/4.32 fof(f10045,plain,(
% 29.64/4.32 ![X0]: (meet(X0,X0)=X0)),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f2890,f10004])).
% 29.64/4.32 fof(f10048,plain,(
% 29.64/4.32 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f28,f10007])).
% 29.64/4.32 fof(f10049,plain,(
% 29.64/4.32 ![X0]: (X0=join(zero,X0))),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f2890,f10048])).
% 29.64/4.32 fof(f10140,plain,(
% 29.64/4.32 ![X0]: (join(X0,join(X0,complement(X0)))=top)),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f10020,f305])).
% 29.64/4.32 fof(f10201,plain,(
% 29.64/4.32 ![X0]: (join(X0,top)=top)),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f27,f10140])).
% 29.64/4.32 fof(f10216,plain,(
% 29.64/4.32 ![X0]: (X0=join(X0,zero))),
% 29.64/4.32 inference(backward_demodulation,[status(thm)],[f10045,f1674])).
% 29.64/4.32 fof(f10324,plain,(
% 29.64/4.32 ![X0]: (converse(converse(X0))=join(X0,converse(zero)))),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f10049,f5364])).
% 29.64/4.32 fof(f10389,plain,(
% 29.64/4.32 ![X0]: (X0=join(X0,converse(zero)))),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f23,f10324])).
% 29.64/4.32 fof(f10851,plain,(
% 29.64/4.32 ![X0]: (top=join(complement(top),join(top,X0)))),
% 29.64/4.32 inference(backward_demodulation,[status(thm)],[f10201,f4562])).
% 29.64/4.32 fof(f10858,plain,(
% 29.64/4.32 converse(top)=top),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f5681,f10201])).
% 29.64/4.32 fof(f10911,plain,(
% 29.64/4.32 ![X0]: (top=join(zero,join(top,X0)))),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f334,f10851])).
% 29.64/4.32 fof(f10912,plain,(
% 29.64/4.32 ![X0]: (top=join(top,X0))),
% 29.64/4.32 inference(forward_demodulation,[status(thm)],[f10049,f10911])).
% 29.64/4.32 fof(f11132,plain,(
% 29.64/4.32 ![X0,X1]: (join(X0,join(complement(X0),X1))=top)),
% 29.64/4.32 inference(backward_demodulation,[status(thm)],[f10912,f319])).
% 29.64/4.32 fof(f11209,plain,(
% 29.64/4.32 zero=converse(zero)),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f10049,f10389])).
% 29.64/4.32 fof(f11502,plain,(
% 29.64/4.32 ![X0,X1]: (join(complement(X0),join(X0,X1))=top)),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f2890,f11132])).
% 29.64/4.32 fof(f15289,plain,(
% 29.64/4.32 ![X0,X1]: (join(complement(meet(X0,X1)),X1)=top)),
% 29.64/4.32 inference(paramodulation,[status(thm)],[f2811,f11502])).
% 29.64/4.32 fof(f25758,plain,(
% 29.64/4.32 ![X0]: (composition(converse(X0),complement(composition(X0,top)))=zero)),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10216,f470])).
% 17.41/4.37 fof(f26683,plain,(
% 17.41/4.37 ![X0,X1]: (composition(join(X0,one),converse(X1))=join(composition(X0,converse(X1)),converse(X1)))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f9610,f1570])).
% 17.41/4.37 fof(f26698,plain,(
% 17.41/4.37 ![X0]: (composition(join(X0,one),converse(top))=join(composition(X0,top),converse(top)))),
% 17.41/4.37 inference(paramodulation,[status(thm)],[f10858,f26683])).
% 17.41/4.37 fof(f26822,plain,(
% 17.41/4.37 ![X0]: (composition(join(X0,one),top)=join(composition(X0,top),converse(top)))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10858,f26698])).
% 17.41/4.37 fof(f26823,plain,(
% 17.41/4.37 ![X0]: (composition(join(X0,one),top)=join(composition(X0,top),top))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10858,f26822])).
% 17.41/4.37 fof(f26824,plain,(
% 17.41/4.37 ![X0]: (composition(join(X0,one),top)=top)),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10201,f26823])).
% 17.41/4.37 fof(f26924,plain,(
% 17.41/4.37 composition(top,top)=top),
% 17.41/4.37 inference(paramodulation,[status(thm)],[f15289,f26824])).
% 17.41/4.37 fof(f27143,plain,(
% 17.41/4.37 composition(converse(top),complement(top))=zero),
% 17.41/4.37 inference(paramodulation,[status(thm)],[f26924,f25758])).
% 17.41/4.37 fof(f27206,plain,(
% 17.41/4.37 composition(top,complement(top))=zero),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10858,f27143])).
% 17.41/4.37 fof(f27207,plain,(
% 17.41/4.37 composition(top,zero)=zero),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f334,f27206])).
% 17.41/4.37 fof(f27431,plain,(
% 17.41/4.37 ![X0]: (composition(join(top,X0),zero)=join(composition(X0,zero),zero))),
% 17.41/4.37 inference(paramodulation,[status(thm)],[f27207,f161])).
% 17.41/4.37 fof(f27594,plain,(
% 17.41/4.37 ![X0]: (composition(top,zero)=join(composition(X0,zero),zero))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10912,f27431])).
% 17.41/4.37 fof(f27595,plain,(
% 17.41/4.37 ![X0]: (zero=join(composition(X0,zero),zero))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f27207,f27594])).
% 17.41/4.37 fof(f27596,plain,(
% 17.41/4.37 ![X0]: (zero=composition(X0,zero))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f10216,f27595])).
% 17.41/4.37 fof(f27641,plain,(
% 17.41/4.37 ~zero=zero|~composition(zero,sK1_skl)=zero),
% 17.41/4.37 inference(backward_demodulation,[status(thm)],[f27596,f32])).
% 17.41/4.37 fof(f27665,plain,(
% 17.41/4.37 ![X0]: (converse(zero)=composition(converse(zero),X0))),
% 17.41/4.37 inference(paramodulation,[status(thm)],[f27596,f349])).
% 17.41/4.37 fof(f27731,plain,(
% 17.41/4.37 ~composition(zero,sK1_skl)=zero),
% 17.41/4.37 inference(trivial_equality_resolution,[status(thm)],[f27641])).
% 17.41/4.37 fof(f27745,plain,(
% 17.41/4.37 ![X0]: (zero=composition(converse(zero),X0))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f11209,f27665])).
% 17.41/4.37 fof(f27746,plain,(
% 17.41/4.37 ![X0]: (zero=composition(zero,X0))),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f11209,f27745])).
% 17.41/4.37 fof(f28405,plain,(
% 17.41/4.37 ~zero=zero),
% 17.41/4.37 inference(forward_demodulation,[status(thm)],[f27746,f27731])).
% 17.41/4.37 fof(f28406,plain,(
% 17.41/4.37 $false),
% 17.41/4.37 inference(trivial_equality_resolution,[status(thm)],[f28405])).
% 17.41/4.37 % SZS output end CNFRefutation for theBenchmark.p
% 17.41/4.38 % Elapsed time: 3.907911 seconds
% 17.41/4.38 % CPU time: 30.477029 seconds
% 17.41/4.38 % Total memory used: 233.313 MB
% 17.41/4.38 % Net memory used: 226.424 MB
%------------------------------------------------------------------------------