%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL002-1 : 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 : n026.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 02:03:30 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL002-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42 % Computer : n026.cluster.edu
% 0.10/0.42 % Model : x86_64 x86_64
% 0.10/0.42 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.42 % Memory : 8046.5625MB
% 0.10/0.42 % OS : Linux 6.8.0-71-generic
% 0.10/0.42 % CPULimit : 300
% 0.10/0.42 % WCLimit : 300
% 0.10/0.42 % DateTime : Mon Sep 21 04:00:07 UTC 2026
% 0.10/0.43 % CPUTime :
% 0.10/0.43 % Drodi V4.1.1
% 0.10/0.45 % Refutation found
% 0.10/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.10/0.45 fof(f1,axiom,(
% 0.10/0.45 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f2,axiom,(
% 0.10/0.45 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f3,axiom,(
% 0.10/0.45 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f4,axiom,(
% 0.10/0.45 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f11,axiom,(
% 0.10/0.45 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.45 fof(f12,axiom,(
% 0.10/0.45 (![A]: (top = join(A,complement(A)) ))),
% 0.10/0.45 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f13,axiom,(
% 0.10/0.46 (![A]: (zero = meet(A,complement(A)) ))),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f14,negated_conjecture,(
% 0.10/0.46 join(sk1,top) != top ),
% 0.10/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.10/0.46 fof(f15,plain,(
% 0.10/0.46 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f1])).
% 0.10/0.46 fof(f16,plain,(
% 0.10/0.46 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f2])).
% 0.10/0.46 fof(f17,plain,(
% 0.10/0.46 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f3])).
% 0.10/0.46 fof(f18,plain,(
% 0.10/0.46 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f4])).
% 0.10/0.46 fof(f25,plain,(
% 0.10/0.46 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f11])).
% 0.10/0.46 fof(f26,plain,(
% 0.10/0.46 ![X0]: (top=join(X0,complement(X0)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.10/0.46 fof(f27,plain,(
% 0.10/0.46 ![X0]: (zero=meet(X0,complement(X0)))),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.10/0.46 fof(f28,plain,(
% 0.10/0.46 ~join(sk1,top)=top),
% 0.10/0.46 inference(cnf_transformation,[status(thm)],[f14])).
% 0.10/0.46 fof(f29,definition,(
% 0.10/0.46 sF0_fnc=join(sk1,top)),
% 0.10/0.46 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.10/0.46 fof(f30,plain,(
% 0.10/0.46 ~sF0_fnc=top),
% 0.10/0.46 inference(definition_folding,[],[f28,f29])).
% 0.10/0.46 fof(f31,plain,(
% 0.10/0.46 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f17])).
% 0.10/0.46 fof(f32,plain,(
% 0.10/0.46 ![X0,X1]: (X0=join(complement(join(complement(X0),X1)),meet(X0,X1)))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f18,f31])).
% 0.10/0.46 fof(f33,plain,(
% 0.10/0.46 ![X0,X1]: (join(complement(X0),composition(converse(X1),complement(composition(X1,X0))))=complement(X0))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f25])).
% 0.10/0.46 fof(f34,plain,(
% 0.10/0.46 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f32])).
% 0.10/0.46 fof(f40,plain,(
% 0.10/0.46 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.10/0.46 fof(f43,plain,(
% 0.10/0.46 ![X0]: (join(sk1,join(top,X0))=join(sF0_fnc,X0))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f29,f16])).
% 0.10/0.46 fof(f44,plain,(
% 0.10/0.46 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f26,f16])).
% 0.10/0.46 fof(f52,plain,(
% 0.10/0.46 join(sk1,top)=join(sF0_fnc,complement(top))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f26,f43])).
% 0.10/0.46 fof(f53,plain,(
% 0.10/0.46 ![X0]: (join(sk1,join(X0,top))=join(sF0_fnc,X0))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f15,f43])).
% 0.10/0.46 fof(f56,plain,(
% 0.10/0.46 sF0_fnc=join(sF0_fnc,complement(top))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f29,f52])).
% 0.10/0.46 fof(f62,plain,(
% 0.10/0.46 ![X0]: (join(X0,top)=join(top,complement(complement(X0))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f26,f44])).
% 0.10/0.46 fof(f63,plain,(
% 0.10/0.46 ![X0,X1]: (join(X0,join(X1,complement(X0)))=join(top,X1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f15,f44])).
% 0.10/0.46 fof(f71,plain,(
% 0.10/0.46 ![X0]: (join(sk1,join(X0,top))=join(sF0_fnc,complement(complement(X0))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f62,f43])).
% 0.10/0.46 fof(f73,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,X0)=join(sF0_fnc,complement(complement(X0))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f53,f71])).
% 0.10/0.46 fof(f76,plain,(
% 0.10/0.46 join(top,top)=join(sF0_fnc,complement(sk1))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f44,f53])).
% 0.10/0.46 fof(f88,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,join(complement(sk1),X0))=join(join(top,top),X0))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f76,f16])).
% 0.10/0.46 fof(f89,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,join(complement(sk1),X0))=join(top,join(top,X0)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f16,f88])).
% 0.10/0.46 fof(f91,plain,(
% 0.10/0.46 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f26,f34])).
% 0.10/0.46 fof(f96,plain,(
% 0.10/0.46 ![X0]: (X0=join(complement(top),meet(X0,complement(complement(X0)))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f91])).
% 0.10/0.46 fof(f98,plain,(
% 0.10/0.46 ![X0]: (join(top,X0)=join(top,meet(X0,complement(complement(X0)))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f96,f44])).
% 0.10/0.46 fof(f104,plain,(
% 0.10/0.46 ![X0,X1]: (join(join(complement(X0),X1),X0)=join(top,meet(X0,X1)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f34,f63])).
% 0.10/0.46 fof(f120,plain,(
% 0.10/0.46 ![X0,X1]: (join(complement(X0),join(X1,X0))=join(top,meet(X0,X1)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f16,f104])).
% 0.10/0.46 fof(f121,plain,(
% 0.10/0.46 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,meet(X0,X1)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f40,f120])).
% 0.10/0.46 fof(f122,plain,(
% 0.10/0.46 ![X0]: (join(top,X0)=join(top,complement(complement(X0))))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f123,f98])).
% 0.10/0.46 fof(f123,plain,(
% 0.10/0.46 ![X0,X1]: (join(top,X0)=join(top,meet(X1,X0)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f44,f121])).
% 0.10/0.46 fof(f132,plain,(
% 0.10/0.46 ![X0,X1]: (join(sk1,join(top,X0))=join(sF0_fnc,meet(X1,X0)))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f123,f43])).
% 0.10/0.46 fof(f133,plain,(
% 0.10/0.46 ![X0,X1,X2]: (join(top,join(meet(X0,X1),X2))=join(join(top,X1),X2))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f123,f16])).
% 0.10/0.46 fof(f134,plain,(
% 0.10/0.46 ![X0,X1]: (join(sF0_fnc,X0)=join(sF0_fnc,meet(X1,X0)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f43,f132])).
% 0.10/0.46 fof(f135,plain,(
% 0.10/0.46 ![X0,X1,X2]: (join(top,join(meet(X0,X1),X2))=join(top,join(X1,X2)))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f16,f133])).
% 0.10/0.46 fof(f170,plain,(
% 0.10/0.46 ![X0,X1]: (join(X0,complement(X0))=join(top,composition(converse(X1),complement(composition(X1,X0)))))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f33,f44])).
% 0.10/0.46 fof(f173,plain,(
% 0.10/0.46 ![X0,X1]: (top=join(top,composition(converse(X0),complement(composition(X0,X1)))))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f26,f170])).
% 0.10/0.46 fof(f244,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,complement(X0))=join(sF0_fnc,zero))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f27,f134])).
% 0.10/0.46 fof(f245,plain,(
% 0.10/0.46 ![X0]: (join(top,complement(X0))=join(top,zero))),
% 0.10/0.46 inference(paramodulation,[status(thm)],[f27,f123])).
% 0.10/0.46 fof(f249,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,X0)=join(zero,sF0_fnc))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f251,f73])).
% 0.10/0.46 fof(f250,plain,(
% 0.10/0.46 sF0_fnc=join(zero,sF0_fnc)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f251,f56])).
% 0.10/0.46 fof(f251,plain,(
% 0.10/0.46 ![X0]: (join(sF0_fnc,complement(X0))=join(zero,sF0_fnc))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f244])).
% 0.10/0.46 fof(f252,plain,(
% 0.10/0.46 ![X0]: (join(top,X0)=join(zero,top))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f254,f122])).
% 0.10/0.46 fof(f254,plain,(
% 0.10/0.46 ![X0]: (join(top,complement(X0))=join(zero,top))),
% 0.10/0.46 inference(forward_demodulation,[status(thm)],[f15,f245])).
% 0.10/0.46 fof(f262,plain,(
% 0.10/0.46 ![X0]: (join(zero,sF0_fnc)=join(top,join(top,X0)))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f249,f89])).
% 0.10/0.46 fof(f272,plain,(
% 0.10/0.46 ![X0]: (join(top,X0)=join(zero,top))),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f252,f123])).
% 0.10/0.46 fof(f276,plain,(
% 0.10/0.46 top=join(zero,top)),
% 0.10/0.46 inference(backward_demodulation,[status(thm)],[f252,f173])).
% 0.10/0.47 fof(f278,plain,(
% 0.10/0.47 ![X0,X1]: (join(zero,top)=join(top,join(X0,X1)))),
% 0.10/0.47 inference(backward_demodulation,[status(thm)],[f252,f135])).
% 0.10/0.47 fof(f298,plain,(
% 0.10/0.47 ![X0]: (sF0_fnc=join(top,join(top,X0)))),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f250,f262])).
% 0.10/0.47 fof(f301,plain,(
% 0.10/0.47 sF0_fnc=join(zero,top)),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f252,f298])).
% 0.10/0.47 fof(f312,plain,(
% 0.10/0.47 ![X0]: (join(top,X0)=sF0_fnc)),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f301,f272])).
% 0.10/0.47 fof(f321,plain,(
% 0.10/0.47 ![X0,X1]: (top=join(top,join(X0,X1)))),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f276,f278])).
% 0.10/0.47 fof(f322,plain,(
% 0.10/0.47 top=sF0_fnc),
% 0.10/0.47 inference(forward_demodulation,[status(thm)],[f312,f321])).
% 0.10/0.47 fof(f323,plain,(
% 0.10/0.47 $false),
% 0.10/0.47 inference(forward_subsumption_resolution,[status(thm)],[f322,f30])).
% 0.10/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.10/0.48 % Elapsed time: 0.046864 seconds
% 0.10/0.48 % CPU time: 0.139673 seconds
% 0.10/0.48 % Total memory used: 5.175 MB
% 0.10/0.48 % Net memory used: 5.127 MB
%------------------------------------------------------------------------------