%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL023-2 : 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 : n002.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 : Unsatisfiable 0.21s 5.96s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL023-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.05 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/5.58 % Computer : n002.cluster.edu
% 0.17/5.58 % Model : x86_64 x86_64
% 0.17/5.58 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/5.58 % Memory : 8046.5625MB
% 0.17/5.58 % OS : Linux 6.8.0-71-generic
% 0.17/5.58 % CPULimit : 300
% 0.17/5.58 % WCLimit : 300
% 0.17/5.58 % DateTime : Mon Sep 21 04:04:22 UTC 2026
% 0.17/5.58 % CPUTime :
% 0.17/5.59 % Drodi V4.1.1
% 0.21/5.96 % Refutation found
% 0.21/5.96 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/5.96 % SZS output start CNFRefutation for theBenchmark
% 0.21/5.96 fof(f1,axiom,(
% 0.21/5.96 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f2,axiom,(
% 0.21/5.96 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f3,axiom,(
% 0.21/5.96 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f4,axiom,(
% 0.21/5.96 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f5,axiom,(
% 0.21/5.96 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f6,axiom,(
% 0.21/5.96 (![A]: (composition(A,one) = A ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f7,axiom,(
% 0.21/5.96 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f8,axiom,(
% 0.21/5.96 (![A]: (converse(converse(A)) = A ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f10,axiom,(
% 0.21/5.96 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f11,axiom,(
% 0.21/5.96 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f12,axiom,(
% 0.21/5.96 (![A]: (top = join(A,complement(A)) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f13,axiom,(
% 0.21/5.96 (![A]: (zero = meet(A,complement(A)) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f14,axiom,(
% 0.21/5.96 (![A,B,C]: (join(meet(composition(A,B),C),composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C)))) = composition(meet(A,composition(C,converse(B))),meet(B,composition(converse(A),C))) ))),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f17,negated_conjecture,(
% 0.21/5.96 join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)) ),
% 0.21/5.96 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.21/5.96 fof(f18,plain,(
% 0.21/5.96 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f1])).
% 0.21/5.96 fof(f19,plain,(
% 0.21/5.96 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f2])).
% 0.21/5.96 fof(f20,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f3])).
% 0.21/5.96 fof(f21,plain,(
% 0.21/5.96 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f4])).
% 0.21/5.96 fof(f22,plain,(
% 0.21/5.96 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f5])).
% 0.21/5.96 fof(f23,plain,(
% 0.21/5.96 ![X0]: (composition(X0,one)=X0)),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f6])).
% 0.21/5.96 fof(f24,plain,(
% 0.21/5.96 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f7])).
% 0.21/5.96 fof(f25,plain,(
% 0.21/5.96 ![X0]: (converse(converse(X0))=X0)),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f8])).
% 0.21/5.96 fof(f27,plain,(
% 0.21/5.96 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f10])).
% 0.21/5.96 fof(f28,plain,(
% 0.21/5.96 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f11])).
% 0.21/5.96 fof(f29,plain,(
% 0.21/5.96 ![X0]: (top=join(X0,complement(X0)))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f12])).
% 0.21/5.96 fof(f30,plain,(
% 0.21/5.96 ![X0]: (zero=meet(X0,complement(X0)))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f13])).
% 0.21/5.96 fof(f31,plain,(
% 0.21/5.96 ![X0,X1,X2]: (join(meet(composition(X0,X1),X2),composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))=composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f14])).
% 0.21/5.96 fof(f34,plain,(
% 0.21/5.96 ~join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3)))=composition(sk1,meet(sk2,sk3))),
% 0.21/5.96 inference(cnf_transformation,[status(thm)],[f17])).
% 0.21/5.96 fof(f35,definition,(
% 0.21/5.96 sF3_fnc=converse(sk2)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF3_fnc])],[function_definition])).
% 0.21/5.96 fof(f36,definition,(
% 0.21/5.96 sF2_fnc=meet(sk1,sF3_fnc)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF2_fnc])],[function_definition])).
% 0.21/5.96 fof(f37,definition,(
% 0.21/5.96 sF4_fnc=meet(sk2,sk3)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF4_fnc])],[function_definition])).
% 0.21/5.96 fof(f38,definition,(
% 0.21/5.96 sF1_fnc=composition(sF2_fnc,sF4_fnc)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF1_fnc])],[function_definition])).
% 0.21/5.96 fof(f39,definition,(
% 0.21/5.96 sF5_fnc=composition(sk1,sF4_fnc)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF5_fnc])],[function_definition])).
% 0.21/5.96 fof(f40,definition,(
% 0.21/5.96 sF0_fnc=join(sF1_fnc,sF5_fnc)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.21/5.96 fof(f41,definition,(
% 0.21/5.96 sF6_fnc=composition(sk1,sF4_fnc)),
% 0.21/5.96 introduced(definition,[new_symbols(definition,[sF6_fnc])],[function_definition])).
% 0.21/5.96 fof(f42,plain,(
% 0.21/5.96 ~sF0_fnc=sF6_fnc),
% 0.21/5.96 inference(definition_folding,[],[f34,f41,f40,f39,f38,f37,f36,f35])).
% 0.21/5.96 fof(f50,plain,(
% 0.21/5.96 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.21/5.96 fof(f53,plain,(
% 0.21/5.96 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X1,X0),X2))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f19])).
% 0.21/5.96 fof(f59,plain,(
% 0.21/5.96 ~sF0_fnc=sF5_fnc),
% 0.21/5.96 inference(backward_demodulation,[status(thm)],[f60,f42])).
% 0.21/5.96 fof(f60,plain,(
% 0.21/5.96 sF6_fnc=sF5_fnc),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f39,f41])).
% 0.21/5.96 fof(f61,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.21/5.96 fof(f64,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(complement(join(complement(X1),complement(X0))),complement(join(complement(X0),X1))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.21/5.96 fof(f67,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(X1,complement(X0)))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f20])).
% 0.21/5.96 fof(f73,plain,(
% 0.21/5.96 ![X0,X1]: (top=join(X0,join(X1,complement(join(X0,X1)))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f19,f29])).
% 0.21/5.96 fof(f77,plain,(
% 0.21/5.96 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f29,f19])).
% 0.21/5.96 fof(f82,plain,(
% 0.21/5.96 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f23,f22])).
% 0.21/5.96 fof(f100,plain,(
% 0.21/5.96 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f25,f27])).
% 0.21/5.96 fof(f102,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.21/5.96 inference(backward_demodulation,[status(thm)],[f21,f20])).
% 0.21/5.96 fof(f103,plain,(
% 0.21/5.96 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f29,f21])).
% 0.21/5.96 fof(f104,plain,(
% 0.21/5.96 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X1),complement(X0))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f21])).
% 0.21/5.96 fof(f110,plain,(
% 0.21/5.96 zero=complement(top)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f30,f103])).
% 0.21/5.96 fof(f158,plain,(
% 0.21/5.96 ![X0]: (composition(join(sF2_fnc,X0),sF4_fnc)=join(sF1_fnc,composition(X0,sF4_fnc)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f38,f24])).
% 0.21/5.96 fof(f376,plain,(
% 0.21/5.96 ![X0,X1,X2]: (top=join(meet(composition(X0,X1),X2),join(composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2))),complement(composition(meet(X0,composition(X2,converse(X1))),meet(X1,composition(converse(X0),X2)))))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f31,f73])).
% 0.21/5.96 fof(f405,plain,(
% 0.21/5.96 ![X0,X1,X2]: (top=join(meet(composition(X0,X1),X2),top))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f29,f376])).
% 0.21/5.96 fof(f416,plain,(
% 0.21/5.96 ![X0,X1]: (top=join(meet(X0,X1),top))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f23,f405])).
% 0.21/5.96 fof(f424,plain,(
% 0.21/5.96 ![X0,X1]: (top=join(top,meet(X0,X1)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f416])).
% 0.21/5.96 fof(f548,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f21,f102])).
% 0.21/5.96 fof(f552,plain,(
% 0.21/5.96 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f29,f102])).
% 0.21/5.96 fof(f564,plain,(
% 0.21/5.96 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f110,f552])).
% 0.21/5.96 fof(f782,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(X0,X1),meet(X0,complement(X1))))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f18,f548])).
% 0.21/5.96 fof(f853,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f21,f61])).
% 0.21/5.96 fof(f873,plain,(
% 0.21/5.96 ![X0,X1]: (join(join(complement(X0),X1),X0)=join(top,meet(X0,X1)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f853,f77])).
% 0.21/5.96 fof(f886,plain,(
% 0.21/5.96 ![X0,X1]: (join(X0,join(complement(X1),X1))=join(top,meet(X1,X0)))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f53,f873])).
% 0.21/5.96 fof(f887,plain,(
% 0.21/5.96 ![X0,X1]: (join(X0,join(complement(X1),X1))=top)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f424,f886])).
% 0.21/5.96 fof(f893,plain,(
% 0.21/5.96 ![X0,X1]: (join(X0,join(X1,complement(X0)))=top)),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f50,f887])).
% 0.21/5.96 fof(f1088,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(X1,X0),complement(join(complement(X0),X1))))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f21,f64])).
% 0.21/5.96 fof(f1532,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(X1,complement(X0)))))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f21,f67])).
% 0.21/5.96 fof(f1556,plain,(
% 0.21/5.96 ![X0,X1]: (join(join(X0,complement(X1)),X1)=top)),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f1532,f893])).
% 0.21/5.96 fof(f1573,plain,(
% 0.21/5.96 ![X0,X1]: (join(complement(X0),join(X1,X0))=top)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f53,f1556])).
% 0.21/5.96 fof(f1835,plain,(
% 0.21/5.96 ![X0,X1]: (join(complement(meet(X0,X1)),X0)=top)),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f853,f1573])).
% 0.21/5.96 fof(f1863,plain,(
% 0.21/5.96 ![X0]: (join(complement(complement(X0)),complement(X0))=top)),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f28,f1573])).
% 0.21/5.96 fof(f1886,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(join(X1,X0),X0),complement(top)))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f1573,f1088])).
% 0.21/5.96 fof(f1913,plain,(
% 0.21/5.96 ![X0,X1]: (X0=join(meet(join(X1,X0),X0),zero))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f110,f1886])).
% 0.21/5.96 fof(f2066,plain,(
% 0.21/5.96 ![X0,X1]: (meet(meet(complement(X0),X1),X0)=complement(top))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f1835,f21])).
% 0.21/5.96 fof(f2093,plain,(
% 0.21/5.96 ![X0,X1]: (meet(meet(complement(X0),X1),X0)=zero)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f110,f2066])).
% 0.21/5.96 fof(f2308,plain,(
% 0.21/5.96 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f1863,f21])).
% 0.21/5.96 fof(f2334,plain,(
% 0.21/5.96 ![X0]: (meet(complement(X0),X0)=zero)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f110,f2308])).
% 0.21/5.96 fof(f2763,plain,(
% 0.21/5.96 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f23,f100])).
% 0.21/5.96 fof(f2793,plain,(
% 0.21/5.96 ![X0]: (X0=composition(converse(one),X0))),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f25,f2763])).
% 0.21/5.96 fof(f2826,plain,(
% 0.21/5.96 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f82,f2793])).
% 0.21/5.96 fof(f2827,plain,(
% 0.21/5.96 one=converse(one)),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f23,f2793])).
% 0.21/5.96 fof(f2848,plain,(
% 0.21/5.96 ![X0]: (composition(one,X0)=X0)),
% 0.21/5.96 inference(forward_demodulation,[status(thm)],[f2793,f2826])).
% 0.21/5.96 fof(f2914,plain,(
% 0.21/5.96 ![X0]: (join(composition(converse(one),complement(X0)),complement(X0))=complement(X0))),
% 0.21/5.96 inference(paramodulation,[status(thm)],[f2848,f28])).
% 0.21/5.96 fof(f2944,plain,(
% 0.21/5.96 ![X0]: (join(composition(one,complement(X0)),complement(X0))=complement(X0))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f2827,f2914])).
% 0.21/5.97 fof(f2945,plain,(
% 0.21/5.97 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f2848,f2944])).
% 0.21/5.97 fof(f3040,plain,(
% 0.21/5.97 ![X0]: (X0=join(meet(complement(X0),X0),complement(complement(X0))))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f2945,f1088])).
% 0.21/5.97 fof(f3070,plain,(
% 0.21/5.97 ![X0]: (X0=join(zero,complement(complement(X0))))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f2334,f3040])).
% 0.21/5.97 fof(f3083,plain,(
% 0.21/5.97 ![X0]: (complement(complement(X0))=join(meet(X0,complement(complement(X0))),zero))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f3070,f1913])).
% 0.21/5.97 fof(f3092,plain,(
% 0.21/5.97 ![X0]: (complement(complement(X0))=X0)),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f564,f3083])).
% 0.21/5.97 fof(f3197,plain,(
% 0.21/5.97 ![X0]: (join(complement(complement(X0)),X0)=complement(complement(X0)))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f3092,f2945])).
% 0.21/5.97 fof(f3200,plain,(
% 0.21/5.97 ![X0,X1]: (meet(meet(X0,X1),complement(X0))=zero)),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f3092,f2093])).
% 0.21/5.97 fof(f3224,plain,(
% 0.21/5.97 ![X0]: (join(X0,X0)=complement(complement(X0)))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f3092,f3197])).
% 0.21/5.97 fof(f3225,plain,(
% 0.21/5.97 ![X0]: (join(X0,X0)=X0)),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f3092,f3224])).
% 0.21/5.97 fof(f3255,plain,(
% 0.21/5.97 ![X0,X1]: (join(X0,join(join(X1,X0),X1))=join(X1,X0))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f50,f3225])).
% 0.21/5.97 fof(f3269,plain,(
% 0.21/5.97 ![X0]: (X0=join(complement(complement(X0)),meet(X0,complement(X0))))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f3225,f853])).
% 0.21/5.97 fof(f3288,plain,(
% 0.21/5.97 ![X0,X1]: (join(X0,join(X0,join(X1,X1)))=join(X1,X0))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f53,f3255])).
% 0.21/5.97 fof(f3289,plain,(
% 0.21/5.97 ![X0,X1]: (join(X0,join(X0,X1))=join(X1,X0))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f3225,f3288])).
% 0.21/5.97 fof(f3304,plain,(
% 0.21/5.97 ![X0]: (X0=join(X0,meet(X0,complement(X0))))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f3092,f3269])).
% 0.21/5.97 fof(f3305,plain,(
% 0.21/5.97 ![X0]: (X0=join(X0,zero))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f30,f3304])).
% 0.21/5.97 fof(f5123,plain,(
% 0.21/5.97 meet(sF2_fnc,complement(sk1))=zero),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f36,f3200])).
% 0.21/5.97 fof(f5347,plain,(
% 0.21/5.97 sF2_fnc=join(complement(join(complement(sF2_fnc),complement(sk1))),zero)),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f5123,f853])).
% 0.21/5.97 fof(f5367,plain,(
% 0.21/5.97 sF2_fnc=complement(join(complement(sF2_fnc),complement(sk1)))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f3305,f5347])).
% 0.21/5.97 fof(f5368,plain,(
% 0.21/5.97 sF2_fnc=meet(sk1,sF2_fnc)),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f104,f5367])).
% 0.21/5.97 fof(f5749,plain,(
% 0.21/5.97 ![X0,X1]: (join(meet(X0,X1),X0)=join(meet(X0,complement(X1)),meet(X0,X1)))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f782,f3289])).
% 0.21/5.97 fof(f5846,plain,(
% 0.21/5.97 ![X0,X1]: (join(meet(X0,X1),X0)=X0)),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f548,f5749])).
% 0.21/5.97 fof(f6046,plain,(
% 0.21/5.97 join(sF2_fnc,sk1)=sk1),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f5368,f5846])).
% 0.21/5.97 fof(f6246,plain,(
% 0.21/5.97 composition(sk1,sF4_fnc)=join(sF1_fnc,composition(sk1,sF4_fnc))),
% 0.21/5.97 inference(paramodulation,[status(thm)],[f6046,f158])).
% 0.21/5.97 fof(f6273,plain,(
% 0.21/5.97 sF5_fnc=join(sF1_fnc,composition(sk1,sF4_fnc))),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f39,f6246])).
% 0.21/5.97 fof(f6274,plain,(
% 0.21/5.97 sF5_fnc=join(sF1_fnc,sF5_fnc)),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f39,f6273])).
% 0.21/5.97 fof(f6275,plain,(
% 0.21/5.97 sF5_fnc=sF0_fnc),
% 0.21/5.97 inference(forward_demodulation,[status(thm)],[f40,f6274])).
% 0.21/5.97 fof(f6276,plain,(
% 0.21/5.97 $false),
% 0.21/5.97 inference(forward_subsumption_resolution,[status(thm)],[f6275,f59])).
% 0.21/5.97 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/5.99 % Elapsed time: 0.384614 seconds
% 0.21/5.99 % CPU time: 2.906622 seconds
% 0.21/5.99 % Total memory used: 60.894 MB
% 0.21/5.99 % Net memory used: 59.970 MB
%------------------------------------------------------------------------------