%------------------------------------------------------------------------------
% 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 : 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 02:03:38 PM UTC 2026
% Result : Unsatisfiable 66.21s 9.00s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % 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 : n011.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 04:01:55 UTC 2026
% 0.16/0.42 % CPUTime :
% 0.16/0.43 % Drodi V4.1.1
% 66.21/9.00 % Refutation found
% 66.21/9.00 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 66.21/9.00 % SZS output start CNFRefutation for theBenchmark
% 66.21/9.00 fof(f1,axiom,(
% 66.21/9.00 (![A,B]: (join(A,B) = join(B,A) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f2,axiom,(
% 66.21/9.00 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f3,axiom,(
% 66.21/9.00 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f4,axiom,(
% 66.21/9.00 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f6,axiom,(
% 66.21/9.00 (![A]: (composition(A,one) = A ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f7,axiom,(
% 66.21/9.00 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f8,axiom,(
% 66.21/9.00 (![A]: (converse(converse(A)) = A ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f9,axiom,(
% 66.21/9.00 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f10,axiom,(
% 66.21/9.00 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f11,axiom,(
% 66.21/9.00 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f12,axiom,(
% 66.21/9.00 (![A]: (top = join(A,complement(A)) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f13,axiom,(
% 66.21/9.00 (![A]: (zero = meet(A,complement(A)) ))),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f17,negated_conjecture,(
% 66.21/9.00 join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3)) != composition(meet(sk1,converse(sk2)),sk3) ),
% 66.21/9.00 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 66.21/9.00 fof(f18,plain,(
% 66.21/9.00 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f1])).
% 66.21/9.00 fof(f19,plain,(
% 66.21/9.00 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f2])).
% 66.21/9.00 fof(f20,plain,(
% 66.21/9.00 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f3])).
% 66.21/9.00 fof(f21,plain,(
% 66.21/9.00 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f4])).
% 66.21/9.00 fof(f23,plain,(
% 66.21/9.00 ![X0]: (composition(X0,one)=X0)),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f6])).
% 66.21/9.00 fof(f24,plain,(
% 66.21/9.00 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f7])).
% 66.21/9.00 fof(f25,plain,(
% 66.21/9.00 ![X0]: (converse(converse(X0))=X0)),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f8])).
% 66.21/9.00 fof(f26,plain,(
% 66.21/9.00 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f9])).
% 66.21/9.00 fof(f27,plain,(
% 66.21/9.00 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f10])).
% 66.21/9.00 fof(f28,plain,(
% 66.21/9.00 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f11])).
% 66.21/9.00 fof(f29,plain,(
% 66.21/9.00 ![X0]: (top=join(X0,complement(X0)))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f12])).
% 66.21/9.00 fof(f30,plain,(
% 66.21/9.00 ![X0]: (zero=meet(X0,complement(X0)))),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f13])).
% 66.21/9.00 fof(f34,plain,(
% 66.21/9.00 ~join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(meet(sk1,converse(sk2)),sk3))=composition(meet(sk1,converse(sk2)),sk3)),
% 66.21/9.00 inference(cnf_transformation,[status(thm)],[f17])).
% 66.21/9.00 fof(f45,plain,(
% 66.21/9.00 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 66.21/9.00 inference(backward_demodulation,[status(thm)],[f21,f20])).
% 66.21/9.00 fof(f51,plain,(
% 66.21/9.01 ~join(composition(meet(sk1,converse(sk2)),sk3),composition(meet(sk1,converse(sk2)),meet(sk2,sk3)))=composition(meet(sk1,converse(sk2)),sk3)),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f18,f34])).
% 66.21/9.01 fof(f57,plain,(
% 66.21/9.01 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f25,f27])).
% 66.21/9.01 fof(f71,plain,(
% 66.21/9.01 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f18,f19])).
% 66.21/9.01 fof(f74,plain,(
% 66.21/9.01 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f18,f19])).
% 66.21/9.01 fof(f82,plain,(
% 66.21/9.01 ![X0,X1,X2]: (converse(join(composition(converse(X0),X1),X2))=join(composition(converse(X1),X0),converse(X2)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f57,f26])).
% 66.21/9.01 fof(f83,plain,(
% 66.21/9.01 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f25,f26])).
% 66.21/9.01 fof(f113,plain,(
% 66.21/9.01 ![X0,X1,X2]: (composition(join(X0,converse(X1)),converse(X2))=join(composition(X0,converse(X2)),converse(composition(X2,X1))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f27,f24])).
% 66.21/9.01 fof(f150,plain,(
% 66.21/9.01 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f23,f57])).
% 66.21/9.01 fof(f157,plain,(
% 66.21/9.01 ![X0]: (X0=composition(converse(one),X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f25,f150])).
% 66.21/9.01 fof(f162,plain,(
% 66.21/9.01 ![X0,X1]: (top=join(X0,join(X1,complement(join(X0,X1)))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f19,f29])).
% 66.21/9.01 fof(f165,plain,(
% 66.21/9.01 ![X0,X1]: (join(complement(X0),join(X0,X1))=join(top,X1))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f29,f74])).
% 66.21/9.01 fof(f168,plain,(
% 66.21/9.01 one=converse(one)),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f23,f157])).
% 66.21/9.01 fof(f178,plain,(
% 66.21/9.01 ![X0]: (X0=composition(one,X0))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f168,f157])).
% 66.21/9.01 fof(f235,plain,(
% 66.21/9.01 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f29,f21])).
% 66.21/9.01 fof(f236,plain,(
% 66.21/9.01 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f18,f21])).
% 66.21/9.01 fof(f242,plain,(
% 66.21/9.01 zero=complement(top)),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f30,f235])).
% 66.21/9.01 fof(f252,plain,(
% 66.21/9.01 ![X0]: (join(composition(one,complement(composition(one,X0))),complement(X0))=complement(X0))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f168,f28])).
% 66.21/9.01 fof(f265,plain,(
% 66.21/9.01 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f178,f252])).
% 66.21/9.01 fof(f266,plain,(
% 66.21/9.01 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f178,f265])).
% 66.21/9.01 fof(f364,plain,(
% 66.21/9.01 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f266,f21])).
% 66.21/9.01 fof(f487,plain,(
% 66.21/9.01 ![X0,X1,X2]: (converse(composition(X0,join(converse(X1),X2)))=composition(join(X1,converse(X2)),converse(X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f83,f27])).
% 66.21/9.01 fof(f505,plain,(
% 66.21/9.01 ![X0,X1,X2]: (converse(composition(X0,join(converse(X1),X2)))=join(composition(X1,converse(X0)),converse(composition(X0,X2))))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f487,f113])).
% 66.21/9.01 fof(f663,plain,(
% 66.21/9.01 ![X0]: (join(complement(complement(X0)),complement(X0))=join(top,complement(X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f266,f165])).
% 66.21/9.01 fof(f1002,plain,(
% 66.21/9.01 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f29,f236])).
% 66.21/9.01 fof(f1022,plain,(
% 66.21/9.01 ![X0]: (meet(complement(X0),X0)=zero)),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f242,f1002])).
% 66.21/9.01 fof(f1046,plain,(
% 66.21/9.01 ![X0]: (complement(X0)=join(zero,complement(join(complement(complement(X0)),X0))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f1022,f45])).
% 66.21/9.01 fof(f1048,plain,(
% 66.21/9.01 ![X0]: (X0=join(zero,complement(join(complement(X0),complement(X0)))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f30,f45])).
% 66.21/9.01 fof(f1049,plain,(
% 66.21/9.01 ![X0]: (X0=join(complement(complement(X0)),complement(join(complement(X0),X0))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f364,f45])).
% 66.21/9.01 fof(f1050,plain,(
% 66.21/9.01 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X1,X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f236,f45])).
% 66.21/9.01 fof(f1066,plain,(
% 66.21/9.01 ![X0,X1,X2]: (join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2))=join(X2,X0))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f45,f71])).
% 66.21/9.01 fof(f1068,plain,(
% 66.21/9.01 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=join(top,complement(join(complement(X0),X1))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f45,f165])).
% 66.21/9.01 fof(f1069,plain,(
% 66.21/9.01 ![X0,X1]: (top=join(meet(X0,X1),join(complement(join(complement(X0),X1)),complement(X0))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f45,f162])).
% 66.21/9.01 fof(f1077,plain,(
% 66.21/9.01 ![X0]: (X0=join(zero,meet(X0,X0)))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f236,f1048])).
% 66.21/9.01 fof(f1078,plain,(
% 66.21/9.01 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f364,f1077])).
% 66.21/9.01 fof(f1091,plain,(
% 66.21/9.01 ![X0]: (top=join(top,complement(X0)))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1095,f663])).
% 66.21/9.01 fof(f1092,plain,(
% 66.21/9.01 ![X0]: (X0=join(complement(complement(X0)),complement(top)))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1095,f1049])).
% 66.21/9.01 fof(f1095,plain,(
% 66.21/9.01 ![X0]: (top=join(complement(X0),X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f1066,f1069])).
% 66.21/9.01 fof(f1098,plain,(
% 66.21/9.01 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=top)),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1091,f1068])).
% 66.21/9.01 fof(f1101,plain,(
% 66.21/9.01 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f242,f1092])).
% 66.21/9.01 fof(f1542,plain,(
% 66.21/9.01 ![X0]: (complement(X0)=join(meet(complement(X0),zero),complement(X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f1101,f45])).
% 66.21/9.01 fof(f1698,plain,(
% 66.21/9.01 ![X0]: (join(complement(zero),X0)=top)),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f30,f1098])).
% 66.21/9.01 fof(f1735,plain,(
% 66.21/9.01 ![X0]: (meet(X0,zero)=complement(top))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f1698,f236])).
% 66.21/9.01 fof(f1764,plain,(
% 66.21/9.01 ![X0]: (complement(X0)=join(zero,complement(X0)))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1765,f1542])).
% 66.21/9.01 fof(f1765,plain,(
% 66.21/9.01 ![X0]: (meet(X0,zero)=zero)),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f242,f1735])).
% 66.21/9.01 fof(f1784,plain,(
% 66.21/9.01 ![X0]: (X0=complement(complement(X0)))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1764,f1078])).
% 66.21/9.01 fof(f1787,plain,(
% 66.21/9.01 ![X0]: (complement(X0)=complement(join(complement(complement(X0)),X0)))),
% 66.21/9.01 inference(backward_demodulation,[status(thm)],[f1764,f1046])).
% 66.21/9.01 fof(f1827,plain,(
% 66.21/9.01 ![X0]: (complement(X0)=complement(join(X0,X0)))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f1784,f1787])).
% 66.21/9.01 fof(f2909,plain,(
% 66.21/9.01 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f1827,f1784])).
% 66.21/9.01 fof(f2924,plain,(
% 66.21/9.01 ![X0]: (join(X0,X0)=X0)),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f1784,f2909])).
% 66.21/9.01 fof(f2943,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f71,f2924])).
% 66.21/9.01 fof(f2960,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,X1)=join(X1,join(join(X0,X1),X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f2924,f71])).
% 66.21/9.01 fof(f2970,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f74,f2943])).
% 66.21/9.01 fof(f2975,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f2924,f2970])).
% 66.21/9.01 fof(f2987,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,X1)=join(X1,join(X1,join(X0,X0))))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f74,f2960])).
% 66.21/9.01 fof(f2988,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,X1)=join(join(X0,X0),X1))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f2975,f2987])).
% 66.21/9.01 fof(f2989,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,X1)=join(X0,join(X0,X1)))),
% 66.21/9.01 inference(forward_demodulation,[status(thm)],[f74,f2988])).
% 66.21/9.01 fof(f8564,plain,(
% 66.21/9.01 ![X0,X1]: (join(X0,X1)=join(X0,join(X1,X0)))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f71,f2989])).
% 66.21/9.01 fof(f9708,plain,(
% 66.21/9.01 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 66.21/9.01 inference(paramodulation,[status(thm)],[f18,f1050])).
% 66.21/9.01 fof(f9761,plain,(
% 66.21/9.01 ![X0,X1]: (join(meet(X0,X1),meet(X1,complement(X0)))=join(meet(X0,X1),X1))),
% 39.04/9.20 inference(paramodulation,[status(thm)],[f1050,f8564])).
% 39.04/9.20 fof(f9823,plain,(
% 39.04/9.20 ![X0,X1]: (X0=join(meet(X1,X0),X0))),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f9708,f9761])).
% 39.04/9.20 fof(f10256,plain,(
% 39.04/9.20 ![X0,X1]: (X0=join(X0,meet(X1,X0)))),
% 39.04/9.20 inference(paramodulation,[status(thm)],[f18,f9823])).
% 39.04/9.20 fof(f24224,plain,(
% 39.04/9.20 ![X0,X1,X2]: (converse(converse(composition(X0,join(converse(converse(X1)),X2))))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 39.04/9.20 inference(paramodulation,[status(thm)],[f505,f82])).
% 39.04/9.20 fof(f24364,plain,(
% 39.04/9.20 ![X0,X1,X2]: (composition(X0,join(converse(converse(X1)),X2))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f25,f24224])).
% 39.04/9.20 fof(f24365,plain,(
% 39.04/9.20 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))))),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f25,f24364])).
% 39.04/9.20 fof(f24366,plain,(
% 39.04/9.20 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(X0,X1),converse(converse(composition(X0,X2)))))),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f25,f24365])).
% 39.04/9.20 fof(f24367,plain,(
% 39.04/9.20 ~composition(meet(sk1,converse(sk2)),join(sk3,meet(sk2,sk3)))=composition(meet(sk1,converse(sk2)),sk3)),
% 39.04/9.20 inference(backward_demodulation,[status(thm)],[f24378,f51])).
% 39.04/9.20 fof(f24378,plain,(
% 39.04/9.20 ![X0,X1,X2]: (composition(X0,join(X1,X2))=join(composition(X0,X1),composition(X0,X2)))),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f25,f24366])).
% 39.04/9.20 fof(f24571,plain,(
% 39.04/9.20 ~composition(meet(sk1,converse(sk2)),sk3)=composition(meet(sk1,converse(sk2)),sk3)),
% 39.04/9.20 inference(forward_demodulation,[status(thm)],[f10256,f24367])).
% 39.04/9.20 fof(f24572,plain,(
% 39.04/9.20 $false),
% 39.04/9.20 inference(trivial_equality_resolution,[status(thm)],[f24571])).
% 39.04/9.20 % SZS output end CNFRefutation for theBenchmark.p
% 39.04/9.22 % Elapsed time: 8.778633 seconds
% 39.04/9.22 % CPU time: 69.103748 seconds
% 39.04/9.22 % Total memory used: 569.753 MB
% 39.04/9.22 % Net memory used: 561.656 MB
%------------------------------------------------------------------------------