%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL012-1 : 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 : n001.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 : Unsatisfiable 8.92s 1.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL012-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n001.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:04:13 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.37 % Drodi V4.1.1
% 8.92/1.60 % Refutation found
% 8.92/1.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 8.92/1.60 % SZS output start CNFRefutation for theBenchmark
% 8.92/1.60 fof(f1,axiom,(
% 8.92/1.60 (![A,B]: (join(A,B) = join(B,A) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f2,axiom,(
% 8.92/1.60 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f3,axiom,(
% 8.92/1.60 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f4,axiom,(
% 8.92/1.60 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f6,axiom,(
% 8.92/1.60 (![A]: (composition(A,one) = A ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f8,axiom,(
% 8.92/1.60 (![A]: (converse(converse(A)) = A ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f9,axiom,(
% 8.92/1.60 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f10,axiom,(
% 8.92/1.60 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f11,axiom,(
% 8.92/1.60 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f12,axiom,(
% 8.92/1.60 (![A]: (top = join(A,complement(A)) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f13,axiom,(
% 8.92/1.60 (![A]: (zero = meet(A,complement(A)) ))),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f14,negated_conjecture,(
% 8.92/1.60 join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1)) != complement(sk1) ),
% 8.92/1.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 8.92/1.60 fof(f15,plain,(
% 8.92/1.60 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f1])).
% 8.92/1.60 fof(f16,plain,(
% 8.92/1.60 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f2])).
% 8.92/1.60 fof(f17,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f3])).
% 8.92/1.60 fof(f18,plain,(
% 8.92/1.60 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f4])).
% 8.92/1.60 fof(f20,plain,(
% 8.92/1.60 ![X0]: (composition(X0,one)=X0)),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f6])).
% 8.92/1.60 fof(f22,plain,(
% 8.92/1.60 ![X0]: (converse(converse(X0))=X0)),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f8])).
% 8.92/1.60 fof(f23,plain,(
% 8.92/1.60 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f9])).
% 8.92/1.60 fof(f24,plain,(
% 8.92/1.60 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f10])).
% 8.92/1.60 fof(f25,plain,(
% 8.92/1.60 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f11])).
% 8.92/1.60 fof(f26,plain,(
% 8.92/1.60 ![X0]: (top=join(X0,complement(X0)))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f12])).
% 8.92/1.60 fof(f27,plain,(
% 8.92/1.60 ![X0]: (zero=meet(X0,complement(X0)))),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f13])).
% 8.92/1.60 fof(f28,plain,(
% 8.92/1.60 ~join(composition(complement(composition(sk1,sk2)),converse(sk2)),complement(sk1))=complement(sk1)),
% 8.92/1.60 inference(cnf_transformation,[status(thm)],[f14])).
% 8.92/1.60 fof(f36,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f18,f17])).
% 8.92/1.60 fof(f42,plain,(
% 8.92/1.60 ~join(complement(sk1),composition(complement(composition(sk1,sk2)),converse(sk2)))=complement(sk1)),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f15,f28])).
% 8.92/1.60 fof(f47,plain,(
% 8.92/1.60 ![X0,X1]: (converse(composition(X0,converse(X1)))=composition(X1,converse(X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f22,f24])).
% 8.92/1.60 fof(f48,plain,(
% 8.92/1.60 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f22,f24])).
% 8.92/1.60 fof(f50,plain,(
% 8.92/1.60 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f15,f16])).
% 8.92/1.60 fof(f71,plain,(
% 8.92/1.60 ![X0,X1]: (converse(join(X0,X1))=join(converse(X1),converse(X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f15,f23])).
% 8.92/1.60 fof(f148,plain,(
% 8.92/1.60 ![X0,X1,X2]: (converse(join(X0,composition(X1,converse(X2))))=join(composition(X2,converse(X1)),converse(X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f47,f71])).
% 8.92/1.60 fof(f153,plain,(
% 8.92/1.60 ![X0,X1]: (converse(join(converse(X0),X1))=join(converse(X1),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f22,f71])).
% 8.92/1.60 fof(f259,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f15,f36])).
% 8.92/1.60 fof(f262,plain,(
% 8.92/1.60 ![X0,X1,X2]: (join(meet(X0,X1),join(complement(join(complement(X0),X1)),X2))=join(X0,X2))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f36,f16])).
% 8.92/1.60 fof(f311,plain,(
% 8.92/1.60 ![X0,X1]: (join(composition(converse(converse(X0)),complement(converse(composition(X1,X0)))),complement(converse(X1)))=complement(converse(X1)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f24,f25])).
% 8.92/1.60 fof(f322,plain,(
% 8.92/1.60 ![X0,X1]: (join(composition(X0,complement(converse(composition(X1,X0)))),complement(converse(X1)))=complement(converse(X1)))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f22,f311])).
% 8.92/1.60 fof(f379,plain,(
% 8.92/1.60 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f20,f48])).
% 8.92/1.60 fof(f388,plain,(
% 8.92/1.60 ![X0]: (X0=composition(converse(one),X0))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f22,f379])).
% 8.92/1.60 fof(f403,plain,(
% 8.92/1.60 ![X0]: (converse(top)=join(converse(complement(converse(X0))),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f26,f153])).
% 8.92/1.60 fof(f408,plain,(
% 8.92/1.60 ![X0]: (X0=join(meet(X0,X0),complement(top)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f26,f259])).
% 8.92/1.60 fof(f410,plain,(
% 8.92/1.60 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f26,f16])).
% 8.92/1.60 fof(f413,plain,(
% 8.92/1.60 one=converse(one)),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f20,f388])).
% 8.92/1.60 fof(f415,plain,(
% 8.92/1.60 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f388,f25])).
% 8.92/1.60 fof(f427,plain,(
% 8.92/1.60 ![X0]: (X0=composition(one,X0))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f413,f388])).
% 8.92/1.60 fof(f437,plain,(
% 8.92/1.60 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f427,f415])).
% 8.92/1.60 fof(f494,plain,(
% 8.92/1.60 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f437,f18])).
% 8.92/1.60 fof(f495,plain,(
% 8.92/1.60 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f26,f18])).
% 8.92/1.60 fof(f496,plain,(
% 8.92/1.60 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f15,f18])).
% 8.92/1.60 fof(f511,plain,(
% 8.92/1.60 ![X0]: (X0=join(meet(X0,X0),zero))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f515,f408])).
% 8.92/1.60 fof(f515,plain,(
% 8.92/1.60 zero=complement(top)),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f27,f495])).
% 8.92/1.60 fof(f523,plain,(
% 8.92/1.60 ![X0]: (meet(top,X0)=complement(join(zero,complement(X0))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f515,f18])).
% 8.92/1.60 fof(f525,plain,(
% 8.92/1.60 join(complement(top),zero)=complement(top)),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f515,f437])).
% 8.92/1.60 fof(f532,plain,(
% 8.92/1.60 join(zero,zero)=complement(top)),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f515,f525])).
% 8.92/1.60 fof(f533,plain,(
% 8.92/1.60 join(zero,zero)=zero),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f515,f532])).
% 8.92/1.60 fof(f550,plain,(
% 8.92/1.60 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f494,f511])).
% 8.92/1.60 fof(f560,plain,(
% 8.92/1.60 ![X0]: (top=join(complement(X0),meet(X0,X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f494,f26])).
% 8.92/1.60 fof(f589,plain,(
% 8.92/1.60 ![X0]: (join(X0,zero)=join(zero,join(X0,zero)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f533,f50])).
% 8.92/1.60 fof(f630,plain,(
% 8.92/1.60 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(X1,top))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f26,f50])).
% 8.92/1.60 fof(f773,plain,(
% 8.92/1.60 ![X0,X1]: (join(meet(X0,X1),complement(join(complement(X0),X1)))=join(X0,complement(join(complement(X0),X1))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f437,f262])).
% 8.92/1.60 fof(f799,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(X0,complement(join(complement(X0),X1))))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f36,f773])).
% 8.92/1.60 fof(f816,plain,(
% 8.92/1.60 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(meet(X0,X1)),zero))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f18,f550])).
% 8.92/1.60 fof(f1067,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(X0,meet(X0,X1)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f18,f799])).
% 8.92/1.60 fof(f1069,plain,(
% 8.92/1.60 ![X0]: (X0=join(X0,complement(top)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f560,f799])).
% 8.92/1.60 fof(f1098,plain,(
% 8.92/1.60 ![X0]: (X0=complement(complement(X0)))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1115,f550])).
% 8.92/1.60 fof(f1106,plain,(
% 8.92/1.60 ![X0,X1]: (join(complement(X0),complement(X1))=complement(meet(X0,X1)))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1115,f816])).
% 8.92/1.60 fof(f1113,plain,(
% 8.92/1.60 ![X0]: (join(X0,zero)=join(zero,X0))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1115,f589])).
% 8.92/1.60 fof(f1115,plain,(
% 8.92/1.60 ![X0]: (X0=join(X0,zero))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f515,f1069])).
% 8.92/1.60 fof(f1207,plain,(
% 8.92/1.60 ![X0,X1]: (meet(X0,X1)=complement(complement(meet(X1,X0))))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1106,f496])).
% 8.92/1.60 fof(f1217,plain,(
% 8.92/1.60 ![X0]: (meet(top,X0)=complement(complement(X0)))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1226,f523])).
% 8.92/1.60 fof(f1226,plain,(
% 8.92/1.60 ![X0]: (X0=join(zero,X0))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f1115,f1113])).
% 8.92/1.60 fof(f1272,plain,(
% 8.92/1.60 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f1098,f1207])).
% 8.92/1.60 fof(f1278,plain,(
% 8.92/1.60 ![X0]: (meet(top,X0)=X0)),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f1098,f1217])).
% 8.92/1.60 fof(f1640,plain,(
% 8.92/1.60 ![X0]: (top=join(top,X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f1278,f1067])).
% 8.92/1.60 fof(f1646,plain,(
% 8.92/1.60 ![X0,X1]: (converse(converse(X0))=join(converse(meet(converse(X0),X1)),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f1067,f153])).
% 8.92/1.60 fof(f1662,plain,(
% 8.92/1.60 ![X0,X1]: (join(X0,join(complement(X0),X1))=top)),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1640,f410])).
% 8.92/1.60 fof(f1665,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(converse(meet(converse(X0),X1)),X0))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f22,f1646])).
% 8.92/1.60 fof(f1674,plain,(
% 8.92/1.60 ![X0]: (top=join(X0,top))),
% 8.92/1.60 inference(backward_demodulation,[status(thm)],[f1662,f630])).
% 8.92/1.60 fof(f2361,plain,(
% 8.92/1.60 ![X0,X1]: (X0=join(converse(meet(X1,converse(X0))),X0))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f1272,f1665])).
% 8.92/1.60 fof(f5216,plain,(
% 8.92/1.60 converse(top)=top),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f1674,f403])).
% 8.92/1.60 fof(f5243,plain,(
% 8.92/1.60 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f403,f259])).
% 8.92/1.60 fof(f5313,plain,(
% 8.92/1.60 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f5216,f5243])).
% 8.92/1.60 fof(f5314,plain,(
% 8.92/1.60 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),zero))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f515,f5313])).
% 8.92/1.60 fof(f5315,plain,(
% 8.92/1.60 ![X0]: (X0=meet(X0,converse(complement(converse(complement(X0))))))),
% 8.92/1.60 inference(forward_demodulation,[status(thm)],[f1115,f5314])).
% 8.92/1.60 fof(f5511,plain,(
% 8.92/1.60 ![X0]: (complement(converse(complement(X0)))=join(converse(X0),complement(converse(complement(X0)))))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f5315,f2361])).
% 8.92/1.60 fof(f6302,plain,(
% 8.92/1.60 ![X0,X1]: (join(X0,complement(X1))=complement(meet(complement(X0),X1)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f1098,f1106])).
% 8.92/1.60 fof(f9910,plain,(
% 8.92/1.60 ![X0]: (join(X0,complement(converse(complement(converse(complement(complement(X0)))))))=complement(complement(X0)))),
% 8.92/1.60 inference(paramodulation,[status(thm)],[f5315,f6302])).
% 8.92/1.60 fof(f9964,plain,(
% 8.92/1.60 ![X0]: (join(X0,complement(converse(complement(converse(X0)))))=complement(complement(X0)))),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f1098,f9910])).
% 8.92/1.63 fof(f9965,plain,(
% 8.92/1.63 ![X0]: (join(X0,complement(converse(complement(converse(X0)))))=X0)),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f1098,f9964])).
% 8.92/1.63 fof(f10025,plain,(
% 8.92/1.63 ![X0]: (join(converse(X0),complement(converse(complement(X0))))=converse(X0))),
% 8.92/1.63 inference(paramodulation,[status(thm)],[f22,f9965])).
% 8.92/1.63 fof(f10068,plain,(
% 8.92/1.63 ![X0]: (complement(converse(complement(X0)))=converse(X0))),
% 8.92/1.63 inference(backward_demodulation,[status(thm)],[f10025,f5511])).
% 8.92/1.63 fof(f10195,plain,(
% 8.92/1.63 ![X0]: (complement(converse(X0))=converse(complement(X0)))),
% 8.92/1.63 inference(paramodulation,[status(thm)],[f1098,f10068])).
% 8.92/1.63 fof(f10239,plain,(
% 8.92/1.63 ![X0,X1]: (join(composition(X0,converse(complement(composition(X1,X0)))),complement(converse(X1)))=complement(converse(X1)))),
% 8.92/1.63 inference(backward_demodulation,[status(thm)],[f10195,f322])).
% 8.92/1.63 fof(f10328,plain,(
% 8.92/1.63 ![X0,X1]: (join(composition(X0,converse(complement(composition(X1,X0)))),converse(complement(X1)))=complement(converse(X1)))),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f10195,f10239])).
% 8.92/1.63 fof(f10329,plain,(
% 8.92/1.63 ![X0,X1]: (converse(join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))))=complement(converse(X0)))),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f148,f10328])).
% 8.92/1.63 fof(f10330,plain,(
% 8.92/1.63 ![X0,X1]: (converse(join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))))=converse(complement(X0)))),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f10195,f10329])).
% 8.92/1.63 fof(f10918,plain,(
% 8.92/1.63 ![X0,X1]: (converse(converse(complement(X0)))=join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))))),
% 8.92/1.63 inference(paramodulation,[status(thm)],[f10330,f22])).
% 8.92/1.63 fof(f10998,plain,(
% 8.92/1.63 ~complement(sk1)=complement(sk1)),
% 8.92/1.63 inference(backward_demodulation,[status(thm)],[f11012,f42])).
% 8.92/1.63 fof(f11012,plain,(
% 8.92/1.63 ![X0,X1]: (complement(X0)=join(complement(X0),composition(complement(composition(X0,X1)),converse(X1))))),
% 8.92/1.63 inference(forward_demodulation,[status(thm)],[f22,f10918])).
% 8.92/1.63 fof(f11013,plain,(
% 8.92/1.63 $false),
% 8.92/1.63 inference(trivial_equality_resolution,[status(thm)],[f10998])).
% 8.92/1.63 % SZS output end CNFRefutation for theBenchmark.p
% 1.85/1.65 % Elapsed time: 1.268763 seconds
% 1.85/1.65 % CPU time: 9.807257 seconds
% 1.85/1.65 % Total memory used: 131.754 MB
% 1.85/1.65 % Net memory used: 128.270 MB
%------------------------------------------------------------------------------