%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL001-1 : 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 : n017.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 0.09s 0.45s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL001-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n017.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 03:52:42 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.45 % Refutation found
% 0.09/0.45 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.45 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.45 fof(f1,axiom,(
% 0.09/0.45 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f2,axiom,(
% 0.09/0.45 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f3,axiom,(
% 0.09/0.45 (![A,B]: (A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f4,axiom,(
% 0.09/0.45 (![A,B]: (meet(A,B) = complement(join(complement(A),complement(B))) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f5,axiom,(
% 0.09/0.45 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f6,axiom,(
% 0.09/0.45 (![A]: (composition(A,one) = A ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f8,axiom,(
% 0.09/0.45 (![A]: (converse(converse(A)) = A ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f10,axiom,(
% 0.09/0.45 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f11,axiom,(
% 0.09/0.45 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f12,axiom,(
% 0.09/0.45 (![A]: (top = join(A,complement(A)) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f13,axiom,(
% 0.09/0.45 (![A]: (zero = meet(A,complement(A)) ))),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f14,negated_conjecture,(
% 0.09/0.45 join(zero,sk1) != sk1 ),
% 0.09/0.45 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/0.45 fof(f15,plain,(
% 0.09/0.45 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f1])).
% 0.09/0.45 fof(f16,plain,(
% 0.09/0.45 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.45 fof(f17,plain,(
% 0.09/0.45 ![X0,X1]: (X0=join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.45 fof(f18,plain,(
% 0.09/0.45 ![X0,X1]: (meet(X0,X1)=complement(join(complement(X0),complement(X1))))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/0.45 fof(f19,plain,(
% 0.09/0.45 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/0.45 fof(f20,plain,(
% 0.09/0.45 ![X0]: (composition(X0,one)=X0)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f6])).
% 0.09/0.45 fof(f22,plain,(
% 0.09/0.45 ![X0]: (converse(converse(X0))=X0)),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f8])).
% 0.09/0.45 fof(f24,plain,(
% 0.09/0.45 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/0.45 fof(f25,plain,(
% 0.09/0.45 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/0.45 fof(f26,plain,(
% 0.09/0.45 ![X0]: (top=join(X0,complement(X0)))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/0.45 fof(f27,plain,(
% 0.09/0.45 ![X0]: (zero=meet(X0,complement(X0)))),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/0.45 fof(f28,plain,(
% 0.09/0.45 ~join(zero,sk1)=sk1),
% 0.09/0.45 inference(cnf_transformation,[status(thm)],[f14])).
% 0.09/0.45 fof(f29,definition,(
% 0.09/0.45 sF0_fnc=join(zero,sk1)),
% 0.09/0.45 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.09/0.45 fof(f30,plain,(
% 0.09/0.45 ~sF0_fnc=sk1),
% 0.09/0.45 inference(definition_folding,[],[f28,f29])).
% 0.09/0.45 fof(f31,plain,(
% 0.09/0.45 ![X0,X1]: (X0=join(meet(X0,X1),complement(join(complement(X0),X1))))),
% 0.09/0.45 inference(backward_demodulation,[status(thm)],[f18,f17])).
% 0.09/0.45 fof(f37,plain,(
% 0.09/0.45 ![X0,X1]: (join(X0,join(X1,complement(join(X0,X1))))=top)),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f26,f16])).
% 0.09/0.45 fof(f38,plain,(
% 0.09/0.45 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(X2,join(X0,X1)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f15,f16])).
% 0.09/0.45 fof(f41,plain,(
% 0.09/0.45 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f26,f16])).
% 0.09/0.45 fof(f51,plain,(
% 0.09/0.45 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f22,f24])).
% 0.09/0.45 fof(f55,plain,(
% 0.09/0.45 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f20,f19])).
% 0.09/0.45 fof(f68,plain,(
% 0.09/0.45 ![X0]: (meet(X0,complement(X0))=complement(top))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f26,f18])).
% 0.09/0.45 fof(f75,plain,(
% 0.09/0.45 zero=complement(top)),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f27,f68])).
% 0.09/0.45 fof(f158,plain,(
% 0.09/0.45 ![X0]: (join(X0,top)=join(top,complement(complement(X0))))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f26,f41])).
% 0.09/0.45 fof(f173,plain,(
% 0.09/0.45 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f20,f51])).
% 0.09/0.45 fof(f188,plain,(
% 0.09/0.45 ![X0]: (X0=composition(converse(one),X0))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f22,f173])).
% 0.09/0.45 fof(f200,plain,(
% 0.09/0.45 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f55,f188])).
% 0.09/0.45 fof(f202,plain,(
% 0.09/0.45 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f188,f25])).
% 0.09/0.45 fof(f215,plain,(
% 0.09/0.45 ![X0]: (composition(one,X0)=X0)),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f188,f200])).
% 0.09/0.45 fof(f217,plain,(
% 0.09/0.45 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f215,f202])).
% 0.09/0.45 fof(f256,plain,(
% 0.09/0.45 ![X0]: (X0=join(meet(X0,complement(complement(X0))),complement(top)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f26,f31])).
% 0.09/0.45 fof(f265,plain,(
% 0.09/0.45 ![X0]: (X0=join(meet(X0,complement(complement(X0))),zero))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f256])).
% 0.09/0.45 fof(f268,plain,(
% 0.09/0.45 join(zero,complement(top))=complement(top)),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f75,f217])).
% 0.09/0.45 fof(f272,plain,(
% 0.09/0.45 ![X0]: (meet(X0,X0)=complement(complement(X0)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f217,f18])).
% 0.09/0.45 fof(f274,plain,(
% 0.09/0.45 ![X0]: (join(X0,complement(X0))=join(top,complement(X0)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f217,f41])).
% 0.09/0.45 fof(f276,plain,(
% 0.09/0.45 join(zero,zero)=complement(top)),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f268])).
% 0.09/0.45 fof(f277,plain,(
% 0.09/0.45 join(zero,zero)=zero),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f276])).
% 0.09/0.45 fof(f287,plain,(
% 0.09/0.45 ![X0]: (join(X0,top)=top)),
% 0.09/0.45 inference(backward_demodulation,[status(thm)],[f288,f158])).
% 0.09/0.45 fof(f288,plain,(
% 0.09/0.45 ![X0]: (top=join(top,complement(X0)))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f26,f274])).
% 0.09/0.45 fof(f294,plain,(
% 0.09/0.45 ![X0]: (X0=join(meet(X0,top),complement(top)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f287,f31])).
% 0.09/0.45 fof(f313,plain,(
% 0.09/0.45 ![X0]: (X0=join(meet(X0,top),zero))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f294])).
% 0.09/0.45 fof(f332,plain,(
% 0.09/0.45 ![X0]: (X0=join(complement(complement(X0)),complement(join(complement(X0),X0))))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f272,f31])).
% 0.09/0.45 fof(f383,plain,(
% 0.09/0.45 top=join(complement(complement(top)),zero)),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f272,f313])).
% 0.09/0.45 fof(f388,plain,(
% 0.09/0.45 top=join(complement(zero),zero)),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f383])).
% 0.09/0.45 fof(f396,plain,(
% 0.09/0.45 zero=join(meet(zero,zero),complement(top))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f388,f31])).
% 0.09/0.45 fof(f401,plain,(
% 0.09/0.45 zero=join(complement(complement(zero)),complement(top))),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f272,f396])).
% 0.09/0.45 fof(f402,plain,(
% 0.09/0.45 zero=join(complement(complement(zero)),zero)),
% 0.09/0.45 inference(forward_demodulation,[status(thm)],[f75,f401])).
% 0.09/0.45 fof(f413,plain,(
% 0.09/0.45 complement(zero)=join(meet(complement(zero),zero),complement(zero))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f402,f31])).
% 0.09/0.45 fof(f466,plain,(
% 0.09/0.45 ![X0]: (join(X0,zero)=join(zero,join(X0,zero)))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f277,f38])).
% 0.09/0.45 fof(f580,plain,(
% 0.09/0.45 ![X0,X1]: (join(meet(X0,complement(complement(X0))),join(zero,X1))=join(X1,X0))),
% 0.09/0.45 inference(paramodulation,[status(thm)],[f265,f38])).
% 0.09/0.45 fof(f582,plain,(
% 0.09/0.46 ![X0]: (join(meet(X0,complement(complement(X0))),join(zero,complement(X0)))=top)),
% 0.09/0.46 inference(paramodulation,[status(thm)],[f265,f37])).
% 0.09/0.46 fof(f588,plain,(
% 0.09/0.46 ![X0]: (X0=join(complement(complement(X0)),complement(top)))),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f589,f332])).
% 0.09/0.46 fof(f589,plain,(
% 0.09/0.46 ![X0]: (join(complement(X0),X0)=top)),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f580,f582])).
% 0.09/0.46 fof(f591,plain,(
% 0.09/0.46 ![X0]: (X0=join(complement(complement(X0)),zero))),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f75,f588])).
% 0.09/0.46 fof(f599,plain,(
% 0.09/0.46 ![X0]: (meet(complement(X0),X0)=complement(top))),
% 0.09/0.46 inference(paramodulation,[status(thm)],[f589,f18])).
% 0.09/0.46 fof(f611,plain,(
% 0.09/0.46 complement(zero)=join(zero,complement(zero))),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f612,f413])).
% 0.09/0.46 fof(f612,plain,(
% 0.09/0.46 ![X0]: (meet(complement(X0),X0)=zero)),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f75,f599])).
% 0.09/0.46 fof(f623,plain,(
% 0.09/0.46 complement(zero)=top),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f26,f611])).
% 0.09/0.46 fof(f635,plain,(
% 0.09/0.46 ![X0]: (meet(X0,zero)=complement(join(complement(X0),top)))),
% 0.09/0.46 inference(paramodulation,[status(thm)],[f623,f18])).
% 0.09/0.46 fof(f648,plain,(
% 0.09/0.46 ![X0]: (meet(X0,zero)=complement(top))),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f287,f635])).
% 0.09/0.46 fof(f650,plain,(
% 0.09/0.46 ![X0]: (meet(X0,zero)=zero)),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f75,f648])).
% 0.09/0.46 fof(f777,plain,(
% 0.09/0.46 ![X0]: (complement(X0)=join(meet(complement(X0),zero),complement(X0)))),
% 0.09/0.46 inference(paramodulation,[status(thm)],[f591,f31])).
% 0.09/0.46 fof(f783,plain,(
% 0.09/0.46 ![X0]: (join(zero,complement(complement(X0)))=X0)),
% 0.09/0.46 inference(paramodulation,[status(thm)],[f591,f15])).
% 0.09/0.46 fof(f790,plain,(
% 0.09/0.46 ![X0]: (complement(X0)=join(zero,complement(X0)))),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f650,f777])).
% 0.09/0.46 fof(f792,plain,(
% 0.09/0.46 ![X0]: (X0=join(X0,zero))),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f808,f591])).
% 0.09/0.46 fof(f808,plain,(
% 0.09/0.46 ![X0]: (complement(complement(X0))=X0)),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f790,f783])).
% 0.09/0.46 fof(f830,plain,(
% 0.09/0.46 ![X0]: (join(X0,zero)=join(zero,X0))),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f792,f466])).
% 0.09/0.46 fof(f866,plain,(
% 0.09/0.46 sF0_fnc=sk1),
% 0.09/0.46 inference(backward_demodulation,[status(thm)],[f873,f29])).
% 0.09/0.46 fof(f873,plain,(
% 0.09/0.46 ![X0]: (X0=join(zero,X0))),
% 0.09/0.46 inference(forward_demodulation,[status(thm)],[f792,f830])).
% 0.09/0.46 fof(f884,plain,(
% 0.09/0.46 $false),
% 0.09/0.46 inference(forward_subsumption_resolution,[status(thm)],[f866,f30])).
% 0.09/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.46 % Elapsed time: 0.089004 seconds
% 0.09/0.46 % CPU time: 0.584462 seconds
% 0.09/0.46 % Total memory used: 15.713 MB
% 0.09/0.46 % Net memory used: 15.433 MB
%------------------------------------------------------------------------------