%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL004-1 : 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 : n012.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 02:03:31 PM UTC 2026
% Result : Unsatisfiable 3.74s 0.84s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL004-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 03:57:08 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 3.74/0.84 % Refutation found
% 3.74/0.84 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.74/0.84 % SZS output start CNFRefutation for theBenchmark
% 3.74/0.84 fof(f1,axiom,(
% 3.74/0.84 (![A,B]: (join(A,B) = join(B,A) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f2,axiom,(
% 3.74/0.84 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f3,axiom,(
% 3.74/0.84 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f4,axiom,(
% 3.74/0.84 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f6,axiom,(
% 3.74/0.84 (![A]: (composition(A,one) = A ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f8,axiom,(
% 3.74/0.84 (![A]: (converse(converse(A)) = A ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f9,axiom,(
% 3.74/0.84 (![A,B]: (converse(join(A,B)) = join(converse(A),converse(B)) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f10,axiom,(
% 3.74/0.84 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f11,axiom,(
% 3.74/0.84 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f12,axiom,(
% 3.74/0.84 (![A]: (top = join(A,complement(A)) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f13,axiom,(
% 3.74/0.84 (![A]: (zero = meet(A,complement(A)) ))),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f14,negated_conjecture,(
% 3.74/0.84 converse(complement(sk1)) != complement(converse(sk1)) ),
% 3.74/0.84 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 3.74/0.84 fof(f15,plain,(
% 3.74/0.84 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f1])).
% 3.74/0.84 fof(f16,plain,(
% 3.74/0.84 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f2])).
% 3.74/0.84 fof(f17,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f3])).
% 3.74/0.84 fof(f18,plain,(
% 3.74/0.84 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f4])).
% 3.74/0.84 fof(f20,plain,(
% 3.74/0.84 ![X0]: (composition(X0,one)=X0)),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f6])).
% 3.74/0.84 fof(f22,plain,(
% 3.74/0.84 ![X0]: (converse(converse(X0))=X0)),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f8])).
% 3.74/0.84 fof(f23,plain,(
% 3.74/0.84 ![X0,X1]: (converse(join(X0,X1))=join(converse(X0),converse(X1)))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f9])).
% 3.74/0.84 fof(f24,plain,(
% 3.74/0.84 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f10])).
% 3.74/0.84 fof(f25,plain,(
% 3.74/0.84 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f11])).
% 3.74/0.84 fof(f26,plain,(
% 3.74/0.84 ![X0]: (top=join(X0,complement(X0)))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f12])).
% 3.74/0.84 fof(f27,plain,(
% 3.74/0.84 ![X0]: (zero=meet(X0,complement(X0)))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f13])).
% 3.74/0.84 fof(f28,plain,(
% 3.74/0.84 ~converse(complement(sk1))=complement(converse(sk1))),
% 3.74/0.84 inference(cnf_transformation,[status(thm)],[f14])).
% 3.74/0.84 fof(f34,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f18,f17])).
% 3.74/0.84 fof(f36,plain,(
% 3.74/0.84 ![X0,X1]: (converse(join(converse(X0),X1))=join(X0,converse(X1)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f22,f23])).
% 3.74/0.84 fof(f39,plain,(
% 3.74/0.84 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f22,f24])).
% 3.74/0.84 fof(f55,plain,(
% 3.74/0.84 ![X0,X1]: (join(composition(X0,complement(composition(converse(X0),X1))),complement(X1))=complement(X1))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f22,f25])).
% 3.74/0.84 fof(f545,plain,(
% 3.74/0.84 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f20,f39])).
% 3.74/0.84 fof(f549,plain,(
% 3.74/0.84 ![X0]: (X0=composition(converse(one),X0))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f22,f545])).
% 3.74/0.84 fof(f555,plain,(
% 3.74/0.84 ![X0]: (converse(top)=join(X0,converse(complement(converse(X0)))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f26,f36])).
% 3.74/0.84 fof(f561,plain,(
% 3.74/0.84 one=converse(one)),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f20,f549])).
% 3.74/0.84 fof(f567,plain,(
% 3.74/0.84 ![X0]: (join(composition(one,complement(X0)),complement(X0))=complement(X0))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f549,f55])).
% 3.74/0.84 fof(f580,plain,(
% 3.74/0.84 ![X0]: (X0=composition(one,X0))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f561,f549])).
% 3.74/0.84 fof(f599,plain,(
% 3.74/0.84 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f580,f567])).
% 3.74/0.84 fof(f686,plain,(
% 3.74/0.84 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f599,f18])).
% 3.74/0.84 fof(f687,plain,(
% 3.74/0.84 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f26,f18])).
% 3.74/0.84 fof(f690,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f18,f34])).
% 3.74/0.84 fof(f699,plain,(
% 3.74/0.84 ![X0,X1,X2]: (join(complement(X0),complement(X1))=join(meet(join(complement(X0),complement(X1)),X2),complement(join(meet(X0,X1),X2))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f18,f34])).
% 3.74/0.84 fof(f701,plain,(
% 3.74/0.84 zero=complement(top)),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f27,f687])).
% 3.74/0.84 fof(f715,plain,(
% 3.74/0.84 top=join(top,zero)),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f701,f26])).
% 3.74/0.84 fof(f737,plain,(
% 3.74/0.84 ![X0]: (join(complement(complement(X0)),meet(X0,X0))=complement(complement(X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f599])).
% 3.74/0.84 fof(f738,plain,(
% 3.74/0.84 ![X0]: (join(meet(X0,X0),complement(complement(X0)))=complement(complement(X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f599])).
% 3.74/0.84 fof(f739,plain,(
% 3.74/0.84 ![X0]: (top=join(complement(X0),meet(X0,X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f26])).
% 3.74/0.84 fof(f807,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f690,f15])).
% 3.74/0.84 fof(f834,plain,(
% 3.74/0.84 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f15,f18])).
% 3.74/0.84 fof(f835,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f15,f34])).
% 3.74/0.84 fof(f918,plain,(
% 3.74/0.84 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f26,f16])).
% 3.74/0.84 fof(f962,plain,(
% 3.74/0.84 ![X0]: (X0=join(complement(complement(X0)),meet(X0,complement(X0))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f807])).
% 3.74/0.84 fof(f969,plain,(
% 3.74/0.84 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f27,f962])).
% 3.74/0.84 fof(f981,plain,(
% 3.74/0.84 ![X0,X1]: (join(complement(X0),complement(X1))=join(complement(meet(X0,X1)),zero))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f18,f969])).
% 3.74/0.84 fof(f982,plain,(
% 3.74/0.84 ![X0]: (complement(X0)=join(meet(complement(X0),zero),complement(X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f969,f34])).
% 3.74/0.84 fof(f1031,plain,(
% 3.74/0.84 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),complement(converse(top))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f555,f34])).
% 3.74/0.84 fof(f1063,plain,(
% 3.74/0.84 ![X0]: (complement(X0)=join(complement(X0),meet(complement(X0),zero)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f15,f982])).
% 3.74/0.84 fof(f1082,plain,(
% 3.74/0.84 ![X0]: (complement(complement(X0))=join(meet(X0,X0),meet(complement(complement(X0)),zero)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f1063])).
% 3.74/0.84 fof(f1084,plain,(
% 3.74/0.84 ![X0,X1]: (complement(join(complement(X0),complement(X1)))=join(meet(X0,X1),meet(complement(join(complement(X0),complement(X1))),zero)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f18,f1063])).
% 3.74/0.84 fof(f1085,plain,(
% 3.74/0.84 ![X0]: (complement(complement(X0))=join(complement(complement(X0)),meet(meet(X0,X0),zero)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f686,f1063])).
% 3.74/0.84 fof(f1092,plain,(
% 3.74/0.84 ![X0,X1]: (meet(X0,X1)=join(meet(X0,X1),meet(complement(join(complement(X0),complement(X1))),zero)))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f18,f1084])).
% 3.74/0.84 fof(f1093,plain,(
% 3.74/0.84 ![X0,X1]: (meet(X0,X1)=join(meet(X0,X1),meet(meet(X0,X1),zero)))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f18,f1092])).
% 3.74/0.84 fof(f1156,plain,(
% 3.74/0.84 ![X0,X1]: (join(meet(X0,X0),join(complement(complement(X0)),X1))=join(complement(complement(X0)),X1))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f738,f16])).
% 3.74/0.84 fof(f1329,plain,(
% 3.74/0.84 ![X0,X1]: (join(complement(X0),complement(complement(X1)))=join(meet(join(complement(X0),complement(complement(X1))),meet(X0,X1)),complement(X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f690,f699])).
% 3.74/0.84 fof(f1479,plain,(
% 3.74/0.84 ![X0]: (join(complement(X0),X0)=join(top,zero))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f969,f918])).
% 3.74/0.84 fof(f1480,plain,(
% 3.74/0.84 ![X0]: (join(complement(X0),complement(complement(X0)))=join(top,meet(X0,X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f737,f918])).
% 3.74/0.84 fof(f1483,plain,(
% 3.74/0.84 ![X0]: (join(X0,top)=join(top,meet(X0,X0)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f739,f918])).
% 3.74/0.84 fof(f1486,plain,(
% 3.74/0.84 ![X0]: (join(X0,converse(top))=join(top,converse(complement(converse(complement(X0))))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f555,f918])).
% 3.74/0.84 fof(f1494,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,join(complement(complement(X0)),X1)),complement(join(top,X1))))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f918,f34])).
% 3.74/0.84 fof(f1510,plain,(
% 3.74/0.84 ![X0]: (join(complement(X0),X0)=top)),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f715,f1479])).
% 3.74/0.84 fof(f1512,plain,(
% 3.74/0.84 ![X0]: (top=join(top,meet(X0,X0)))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f26,f1480])).
% 3.74/0.84 fof(f1517,plain,(
% 3.74/0.84 ![X0]: (join(X0,top)=top)),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f1512,f1483])).
% 3.74/0.84 fof(f1530,plain,(
% 3.74/0.84 ![X0]: (join(top,X0)=top)),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f15,f1517])).
% 3.74/0.84 fof(f1537,plain,(
% 3.74/0.84 ![X0]: (converse(top)=join(X0,converse(top)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f1517,f36])).
% 3.74/0.84 fof(f1543,plain,(
% 3.74/0.84 ![X0]: (join(X0,converse(top))=top)),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1530,f1486])).
% 3.74/0.84 fof(f1552,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,join(complement(complement(X0)),X1)),complement(top)))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1530,f1494])).
% 3.74/0.84 fof(f1569,plain,(
% 3.74/0.84 converse(top)=top),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1543,f1537])).
% 3.74/0.84 fof(f1572,plain,(
% 3.74/0.84 ![X0,X1]: (X0=join(meet(X0,join(complement(complement(X0)),X1)),zero))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f701,f1552])).
% 3.74/0.84 fof(f1578,plain,(
% 3.74/0.84 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),complement(top)))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1569,f1031])).
% 3.74/0.84 fof(f1585,plain,(
% 3.74/0.84 ![X0]: (X0=join(meet(X0,converse(complement(converse(complement(X0))))),zero))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f701,f1578])).
% 3.74/0.84 fof(f1617,plain,(
% 3.74/0.84 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f1510,f18])).
% 3.74/0.84 fof(f1637,plain,(
% 3.74/0.84 ![X0]: (meet(complement(X0),X0)=zero)),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f701,f1617])).
% 3.74/0.84 fof(f1653,plain,(
% 3.74/0.84 complement(zero)=join(complement(zero),zero)),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f1637,f1063])).
% 3.74/0.84 fof(f1668,plain,(
% 3.74/0.84 complement(zero)=top),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f1510,f1653])).
% 3.74/0.84 fof(f1786,plain,(
% 3.74/0.84 ![X0]: (meet(X0,zero)=complement(join(complement(X0),top)))),
% 3.74/0.84 inference(paramodulation,[status(thm)],[f1668,f18])).
% 3.74/0.84 fof(f1836,plain,(
% 3.74/0.84 ![X0]: (meet(X0,zero)=complement(top))),
% 3.74/0.84 inference(forward_demodulation,[status(thm)],[f1517,f1786])).
% 3.74/0.84 fof(f1837,plain,(
% 3.74/0.84 ![X0]: (complement(X0)=join(complement(X0),zero))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1855,f1063])).
% 3.74/0.84 fof(f1840,plain,(
% 3.74/0.84 ![X0]: (complement(complement(X0))=join(complement(complement(X0)),zero))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1855,f1085])).
% 3.74/0.84 fof(f1841,plain,(
% 3.74/0.84 ![X0,X1]: (meet(X0,X1)=join(meet(X0,X1),zero))),
% 3.74/0.84 inference(backward_demodulation,[status(thm)],[f1855,f1093])).
% 3.74/0.85 fof(f1844,plain,(
% 3.74/0.85 ![X0]: (complement(complement(X0))=join(meet(X0,X0),zero))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1855,f1082])).
% 3.74/0.85 fof(f1855,plain,(
% 3.74/0.85 ![X0]: (meet(X0,zero)=zero)),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f701,f1836])).
% 3.74/0.85 fof(f1871,plain,(
% 3.74/0.85 ![X0,X1]: (join(complement(X0),complement(X1))=complement(meet(X0,X1)))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1837,f981])).
% 3.74/0.85 fof(f1900,plain,(
% 3.74/0.85 ![X0,X1]: (X0=join(meet(X0,join(X0,X1)),zero))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1924,f1572])).
% 3.74/0.85 fof(f1904,plain,(
% 3.74/0.85 ![X0,X1]: (join(complement(X0),complement(complement(X1)))=join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1924,f1329])).
% 3.74/0.85 fof(f1913,plain,(
% 3.74/0.85 ![X0,X1]: (join(meet(X0,X0),join(complement(complement(X0)),X1))=join(X0,X1))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1924,f1156])).
% 3.74/0.85 fof(f1924,plain,(
% 3.74/0.85 ![X0]: (complement(complement(X0))=X0)),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f969,f1840])).
% 3.74/0.85 fof(f1931,plain,(
% 3.74/0.85 ![X0]: (X0=meet(X0,converse(complement(converse(complement(X0))))))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1841,f1585])).
% 3.74/0.85 fof(f1941,plain,(
% 3.74/0.85 ![X0]: (X0=join(meet(X0,X0),zero))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1924,f1844])).
% 3.74/0.85 fof(f1966,plain,(
% 3.74/0.85 ![X0]: (X0=meet(X0,X0))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1841,f1941])).
% 3.74/0.85 fof(f2005,plain,(
% 3.74/0.85 ![X0,X1]: (meet(X0,X1)=complement(complement(meet(X1,X0))))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f1871,f834])).
% 3.74/0.85 fof(f2054,plain,(
% 3.74/0.85 ![X0,X1]: (X0=meet(X0,join(X0,X1)))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1841,f1900])).
% 3.74/0.85 fof(f2060,plain,(
% 3.74/0.85 ![X0,X1]: (complement(meet(X0,complement(X1)))=join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1871,f1904])).
% 3.74/0.85 fof(f2079,plain,(
% 3.74/0.85 ![X0,X1]: (join(X0,join(complement(complement(X0)),X1))=join(X0,X1))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1966,f1913])).
% 3.74/0.85 fof(f2082,plain,(
% 3.74/0.85 ![X0,X1]: (join(X0,join(X0,X1))=join(X0,X1))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1924,f2079])).
% 3.74/0.85 fof(f2129,plain,(
% 3.74/0.85 ![X0,X1]: (meet(X0,X1)=meet(X1,X0))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1924,f2005])).
% 3.74/0.85 fof(f2499,plain,(
% 3.74/0.85 ![X0,X1]: (meet(X0,X1)=meet(meet(X0,X1),X0))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f807,f2054])).
% 3.74/0.85 fof(f2593,plain,(
% 3.74/0.85 ![X0,X1]: (meet(X0,X1)=meet(meet(X1,X0),X0))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f2129,f2499])).
% 3.74/0.85 fof(f2595,plain,(
% 3.74/0.85 ![X0,X1]: (X0=join(meet(X1,X0),meet(X0,complement(X1))))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f2129,f807])).
% 3.74/0.85 fof(f2657,plain,(
% 3.74/0.85 ![X0,X1]: (join(complement(X0),X1)=join(meet(join(complement(X0),X1),meet(X0,X1)),complement(X0)))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f34,f835])).
% 3.74/0.85 fof(f2700,plain,(
% 3.74/0.85 ![X0,X1]: (complement(meet(X0,complement(X1)))=join(complement(X0),X1))),
% 3.74/0.85 inference(backward_demodulation,[status(thm)],[f2657,f2060])).
% 3.74/0.85 fof(f2975,plain,(
% 3.74/0.85 ![X0]: (meet(converse(complement(converse(complement(X0)))),X0)=meet(X0,converse(complement(converse(complement(X0))))))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f1931,f2593])).
% 3.74/0.85 fof(f2994,plain,(
% 3.74/0.85 ![X0]: (meet(converse(complement(converse(complement(X0)))),X0)=X0)),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f1931,f2975])).
% 3.74/0.85 fof(f3809,plain,(
% 3.74/0.85 ![X0,X1]: (join(meet(X0,X1),X1)=join(meet(X0,X1),meet(X1,complement(X0))))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f2595,f2082])).
% 3.74/0.85 fof(f3865,plain,(
% 3.74/0.85 ![X0,X1]: (join(meet(X0,X1),X1)=X1)),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f2595,f3809])).
% 3.74/0.85 fof(f3906,plain,(
% 3.74/0.85 ![X0,X1]: (join(X0,meet(X1,X0))=X0)),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f15,f3865])).
% 3.74/0.85 fof(f4044,plain,(
% 3.74/0.85 ![X0,X1]: (converse(converse(X0))=join(X0,converse(meet(X1,converse(X0)))))),
% 3.74/0.85 inference(paramodulation,[status(thm)],[f3906,f36])).
% 3.74/0.85 fof(f4071,plain,(
% 3.74/0.85 ![X0,X1]: (X0=join(X0,converse(meet(X1,converse(X0)))))),
% 3.74/0.85 inference(forward_demodulation,[status(thm)],[f22,f4044])).
% 3.74/0.86 fof(f4489,plain,(
% 3.74/0.86 ![X0]: (complement(converse(complement(X0)))=join(complement(converse(complement(X0))),converse(X0)))),
% 3.74/0.86 inference(paramodulation,[status(thm)],[f1931,f4071])).
% 3.74/0.86 fof(f5969,plain,(
% 3.74/0.86 ![X0]: (complement(complement(X0))=join(complement(converse(complement(converse(complement(complement(X0)))))),X0))),
% 3.74/0.86 inference(paramodulation,[status(thm)],[f2994,f2700])).
% 3.74/0.86 fof(f6014,plain,(
% 3.74/0.86 ![X0]: (X0=join(complement(converse(complement(converse(complement(complement(X0)))))),X0))),
% 3.74/0.86 inference(forward_demodulation,[status(thm)],[f1924,f5969])).
% 3.74/0.86 fof(f6015,plain,(
% 3.74/0.86 ![X0]: (X0=join(complement(converse(complement(converse(X0)))),X0))),
% 3.74/0.86 inference(forward_demodulation,[status(thm)],[f1924,f6014])).
% 3.74/0.86 fof(f6331,plain,(
% 3.74/0.86 ![X0]: (converse(X0)=join(complement(converse(complement(X0))),converse(X0)))),
% 3.74/0.86 inference(paramodulation,[status(thm)],[f22,f6015])).
% 3.74/0.86 fof(f6365,plain,(
% 3.74/0.86 ![X0]: (complement(converse(complement(X0)))=converse(X0))),
% 3.74/0.86 inference(backward_demodulation,[status(thm)],[f6331,f4489])).
% 3.74/0.86 fof(f6597,plain,(
% 3.74/0.86 ![X0]: (complement(converse(X0))=converse(complement(X0)))),
% 3.74/0.86 inference(paramodulation,[status(thm)],[f1924,f6365])).
% 3.74/0.86 fof(f6634,plain,(
% 3.74/0.86 ~converse(complement(sk1))=converse(complement(sk1))),
% 3.74/0.86 inference(backward_demodulation,[status(thm)],[f6597,f28])).
% 3.74/0.86 fof(f6723,plain,(
% 3.74/0.86 $false),
% 3.74/0.86 inference(trivial_equality_resolution,[status(thm)],[f6634])).
% 3.74/0.86 % SZS output end CNFRefutation for theBenchmark.p
% 11.45/2.08 % Elapsed time: 1.568286 seconds
% 11.45/2.08 % CPU time: 2.047911 seconds
% 11.45/2.08 % Total memory used: 53.556 MB
% 11.45/2.08 % Net memory used: 52.257 MB
%------------------------------------------------------------------------------