%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : REL015-1 : 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 : 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 0.12s 0.37s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL015-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:04:30 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 0.12/0.37 % Refutation found
% 0.12/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.37 fof(f1,axiom,(
% 0.12/0.37 (![A,B]: (join(A,B) = join(B,A) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f2,axiom,(
% 0.12/0.37 (![A,B,C]: (join(A,join(B,C)) = join(join(A,B),C) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f5,axiom,(
% 0.12/0.37 (![A,B,C]: (composition(A,composition(B,C)) = composition(composition(A,B),C) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f6,axiom,(
% 0.12/0.37 (![A]: (composition(A,one) = A ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f7,axiom,(
% 0.12/0.37 (![A,B,C]: (composition(join(A,B),C) = join(composition(A,C),composition(B,C)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f8,axiom,(
% 0.12/0.37 (![A]: (converse(converse(A)) = A ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f10,axiom,(
% 0.12/0.37 (![A,B]: (converse(composition(A,B)) = composition(converse(B),converse(A)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f11,axiom,(
% 0.12/0.37 (![A,B]: (join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f12,axiom,(
% 0.12/0.37 (![A]: (top = join(A,complement(A)) ))),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f14,negated_conjecture,(
% 0.12/0.37 composition(top,top) != top ),
% 0.12/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.37 fof(f15,plain,(
% 0.12/0.37 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f1])).
% 0.12/0.37 fof(f16,plain,(
% 0.12/0.37 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f2])).
% 0.12/0.37 fof(f19,plain,(
% 0.12/0.37 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f5])).
% 0.12/0.37 fof(f20,plain,(
% 0.12/0.37 ![X0]: (composition(X0,one)=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f6])).
% 0.12/0.37 fof(f21,plain,(
% 0.12/0.37 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f7])).
% 0.12/0.37 fof(f22,plain,(
% 0.12/0.37 ![X0]: (converse(converse(X0))=X0)),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f8])).
% 0.12/0.37 fof(f24,plain,(
% 0.12/0.37 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f10])).
% 0.12/0.37 fof(f25,plain,(
% 0.12/0.37 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f11])).
% 0.12/0.37 fof(f26,plain,(
% 0.12/0.37 ![X0]: (top=join(X0,complement(X0)))),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f12])).
% 0.12/0.37 fof(f28,plain,(
% 0.12/0.37 ~composition(top,top)=top),
% 0.12/0.37 inference(cnf_transformation,[status(thm)],[f14])).
% 0.12/0.37 fof(f29,definition,(
% 0.12/0.37 sF0_fnc=composition(top,top)),
% 0.12/0.37 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.12/0.37 fof(f30,plain,(
% 0.12/0.37 ~sF0_fnc=top),
% 0.12/0.37 inference(definition_folding,[],[f28,f29])).
% 0.12/0.37 fof(f48,plain,(
% 0.12/0.38 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f26,f16])).
% 0.12/0.38 fof(f50,plain,(
% 0.12/0.38 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f22,f24])).
% 0.12/0.38 fof(f71,plain,(
% 0.12/0.38 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f20,f19])).
% 0.12/0.38 fof(f108,plain,(
% 0.12/0.38 ![X0]: (join(X0,top)=join(top,complement(complement(X0))))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f26,f48])).
% 0.12/0.38 fof(f121,plain,(
% 0.12/0.38 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f20,f50])).
% 0.12/0.38 fof(f135,plain,(
% 0.12/0.38 ![X0]: (X0=composition(converse(one),X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f22,f121])).
% 0.12/0.38 fof(f145,plain,(
% 0.12/0.38 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f71,f135])).
% 0.12/0.38 fof(f146,plain,(
% 0.12/0.38 one=converse(one)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f20,f135])).
% 0.12/0.38 fof(f155,plain,(
% 0.12/0.38 ![X0]: (composition(one,X0)=X0)),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f135,f145])).
% 0.12/0.38 fof(f169,plain,(
% 0.12/0.38 ![X0]: (composition(join(X0,top),top)=join(composition(X0,top),sF0_fnc))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f29,f21])).
% 0.12/0.38 fof(f243,plain,(
% 0.12/0.38 ![X0]: (join(composition(one,complement(composition(one,X0))),complement(X0))=complement(X0))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f146,f25])).
% 0.12/0.38 fof(f260,plain,(
% 0.12/0.38 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f155,f243])).
% 0.12/0.38 fof(f261,plain,(
% 0.12/0.38 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f155,f260])).
% 0.12/0.38 fof(f291,plain,(
% 0.12/0.38 ![X0]: (join(X0,complement(X0))=join(top,complement(X0)))),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f261,f48])).
% 0.12/0.38 fof(f313,plain,(
% 0.12/0.38 ![X0]: (join(X0,top)=top)),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f314,f108])).
% 0.12/0.38 fof(f314,plain,(
% 0.12/0.38 ![X0]: (top=join(top,complement(X0)))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f26,f291])).
% 0.12/0.38 fof(f318,plain,(
% 0.12/0.38 ![X0]: (composition(top,top)=join(composition(X0,top),sF0_fnc))),
% 0.12/0.38 inference(backward_demodulation,[status(thm)],[f313,f169])).
% 0.12/0.38 fof(f321,plain,(
% 0.12/0.38 ![X0]: (sF0_fnc=join(composition(X0,top),sF0_fnc))),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f29,f318])).
% 0.12/0.38 fof(f323,plain,(
% 0.12/0.38 ![X0]: (join(top,X0)=top)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f15,f313])).
% 0.12/0.38 fof(f1029,plain,(
% 0.12/0.38 sF0_fnc=join(top,sF0_fnc)),
% 0.12/0.38 inference(paramodulation,[status(thm)],[f155,f321])).
% 0.12/0.38 fof(f1038,plain,(
% 0.12/0.38 sF0_fnc=top),
% 0.12/0.38 inference(forward_demodulation,[status(thm)],[f323,f1029])).
% 0.12/0.38 fof(f1039,plain,(
% 0.12/0.38 $false),
% 0.12/0.38 inference(forward_subsumption_resolution,[status(thm)],[f1038,f30])).
% 0.12/0.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.40 % Elapsed time: 0.044369 seconds
% 0.12/0.40 % CPU time: 0.121960 seconds
% 0.12/0.40 % Total memory used: 5.400 MB
% 0.12/0.40 % Net memory used: 5.295 MB
%------------------------------------------------------------------------------