%------------------------------------------------------------------------------
% 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/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 02:03:34 PM UTC 2026
% Result : Theorem 0.14s 0.60s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL015+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n002.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % 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 04:01:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.60 % Refutation found
% 0.14/0.60 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.60 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.60 fof(f1,axiom,(
% 0.14/0.60 (! [X0,X1] : join(X0,X1) = join(X1,X0) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f2,axiom,(
% 0.14/0.60 (! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f5,axiom,(
% 0.14/0.60 (! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f6,axiom,(
% 0.14/0.60 (! [X0] : composition(X0,one) = X0 )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f7,axiom,(
% 0.14/0.60 (! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f8,axiom,(
% 0.14/0.60 (! [X0] : converse(converse(X0)) = X0 )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f10,axiom,(
% 0.14/0.60 (! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f11,axiom,(
% 0.14/0.60 (! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f12,axiom,(
% 0.14/0.60 (! [X0] : top = join(X0,complement(X0)) )),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f14,conjecture,(
% 0.14/0.60 composition(top,top) = top ),
% 0.14/0.60 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.60 fof(f15,negated_conjecture,(
% 0.14/0.60 ~(composition(top,top) = top )),
% 0.14/0.60 inference(negated_conjecture,[status(cth)],[f14])).
% 0.14/0.60 fof(f16,plain,(
% 0.14/0.60 ![X0,X1]: (join(X0,X1)=join(X1,X0))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f1])).
% 0.14/0.60 fof(f17,plain,(
% 0.14/0.60 ![X0,X1,X2]: (join(X0,join(X1,X2))=join(join(X0,X1),X2))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f2])).
% 0.14/0.60 fof(f20,plain,(
% 0.14/0.60 ![X0,X1,X2]: (composition(X0,composition(X1,X2))=composition(composition(X0,X1),X2))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.60 fof(f21,plain,(
% 0.14/0.60 ![X0]: (composition(X0,one)=X0)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.60 fof(f22,plain,(
% 0.14/0.60 ![X0,X1,X2]: (composition(join(X0,X1),X2)=join(composition(X0,X2),composition(X1,X2)))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.60 fof(f23,plain,(
% 0.14/0.60 ![X0]: (converse(converse(X0))=X0)),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f8])).
% 0.14/0.60 fof(f25,plain,(
% 0.14/0.60 ![X0,X1]: (converse(composition(X0,X1))=composition(converse(X1),converse(X0)))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.60 fof(f26,plain,(
% 0.14/0.60 ![X0,X1]: (join(composition(converse(X0),complement(composition(X0,X1))),complement(X1))=complement(X1))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f11])).
% 0.14/0.60 fof(f27,plain,(
% 0.14/0.60 ![X0]: (top=join(X0,complement(X0)))),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.60 fof(f29,plain,(
% 0.14/0.60 ~composition(top,top)=top),
% 0.14/0.60 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.60 fof(f30,definition,(
% 0.14/0.60 sF0_fnc=composition(top,top)),
% 0.14/0.60 introduced(definition,[new_symbols(definition,[sF0_fnc])],[function_definition])).
% 0.14/0.60 fof(f31,plain,(
% 0.14/0.60 ~sF0_fnc=top),
% 0.14/0.60 inference(definition_folding,[],[f29,f30])).
% 0.14/0.60 fof(f49,plain,(
% 0.14/0.60 ![X0,X1]: (join(X0,join(complement(X0),X1))=join(top,X1))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f27,f17])).
% 0.14/0.60 fof(f51,plain,(
% 0.14/0.60 ![X0,X1]: (converse(composition(converse(X0),X1))=composition(converse(X1),X0))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f23,f25])).
% 0.14/0.60 fof(f72,plain,(
% 0.14/0.60 ![X0,X1]: (composition(X0,composition(one,X1))=composition(X0,X1))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f21,f20])).
% 0.14/0.60 fof(f109,plain,(
% 0.14/0.60 ![X0]: (join(X0,top)=join(top,complement(complement(X0))))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f27,f49])).
% 0.14/0.60 fof(f122,plain,(
% 0.14/0.60 ![X0]: (converse(converse(X0))=composition(converse(one),X0))),
% 0.14/0.60 inference(paramodulation,[status(thm)],[f21,f51])).
% 0.14/0.60 fof(f136,plain,(
% 0.14/0.60 ![X0]: (X0=composition(converse(one),X0))),
% 0.14/0.60 inference(forward_demodulation,[status(thm)],[f23,f122])).
% 0.14/0.60 fof(f146,plain,(
% 0.14/0.60 ![X0]: (composition(one,X0)=composition(converse(one),X0))),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f72,f136])).
% 0.14/0.64 fof(f147,plain,(
% 0.14/0.64 one=converse(one)),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f21,f136])).
% 0.14/0.64 fof(f156,plain,(
% 0.14/0.64 ![X0]: (composition(one,X0)=X0)),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f136,f146])).
% 0.14/0.64 fof(f170,plain,(
% 0.14/0.64 ![X0]: (composition(join(X0,top),top)=join(composition(X0,top),sF0_fnc))),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f30,f22])).
% 0.14/0.64 fof(f244,plain,(
% 0.14/0.64 ![X0]: (join(composition(one,complement(composition(one,X0))),complement(X0))=complement(X0))),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f147,f26])).
% 0.14/0.64 fof(f261,plain,(
% 0.14/0.64 ![X0]: (join(complement(composition(one,X0)),complement(X0))=complement(X0))),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f156,f244])).
% 0.14/0.64 fof(f262,plain,(
% 0.14/0.64 ![X0]: (join(complement(X0),complement(X0))=complement(X0))),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f156,f261])).
% 0.14/0.64 fof(f292,plain,(
% 0.14/0.64 ![X0]: (join(X0,complement(X0))=join(top,complement(X0)))),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f262,f49])).
% 0.14/0.64 fof(f314,plain,(
% 0.14/0.64 ![X0]: (join(X0,top)=top)),
% 0.14/0.64 inference(backward_demodulation,[status(thm)],[f315,f109])).
% 0.14/0.64 fof(f315,plain,(
% 0.14/0.64 ![X0]: (top=join(top,complement(X0)))),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f27,f292])).
% 0.14/0.64 fof(f319,plain,(
% 0.14/0.64 ![X0]: (composition(top,top)=join(composition(X0,top),sF0_fnc))),
% 0.14/0.64 inference(backward_demodulation,[status(thm)],[f314,f170])).
% 0.14/0.64 fof(f322,plain,(
% 0.14/0.64 ![X0]: (sF0_fnc=join(composition(X0,top),sF0_fnc))),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f30,f319])).
% 0.14/0.64 fof(f324,plain,(
% 0.14/0.64 ![X0]: (join(top,X0)=top)),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f16,f314])).
% 0.14/0.64 fof(f1030,plain,(
% 0.14/0.64 sF0_fnc=join(top,sF0_fnc)),
% 0.14/0.64 inference(paramodulation,[status(thm)],[f156,f322])).
% 0.14/0.64 fof(f1039,plain,(
% 0.14/0.64 sF0_fnc=top),
% 0.14/0.64 inference(forward_demodulation,[status(thm)],[f324,f1030])).
% 0.14/0.64 fof(f1040,plain,(
% 0.14/0.64 $false),
% 0.14/0.64 inference(forward_subsumption_resolution,[status(thm)],[f1039,f31])).
% 0.14/0.64 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.66 % Elapsed time: 0.276414 seconds
% 0.14/0.66 % CPU time: 1.681971 seconds
% 0.14/0.66 % Total memory used: 31.653 MB
% 0.14/0.66 % Net memory used: 31.142 MB
%------------------------------------------------------------------------------