%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT014-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 12:07:44 PM UTC 2026
% Result : Unsatisfiable 0.09s 5.38s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT014-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n011.cluster.edu
% 0.09/5.35 % Model : x86_64 x86_64
% 0.09/5.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/5.35 % Memory : 8046.5625MB
% 0.09/5.35 % OS : Linux 6.8.0-71-generic
% 0.09/5.35 % CPULimit : 300
% 0.09/5.35 % WCLimit : 300
% 0.09/5.35 % DateTime : Mon Sep 21 13:56:31 UTC 2026
% 0.09/5.35 % CPUTime :
% 0.09/5.36 % Drodi V4.1.1
% 0.09/5.38 % Refutation found
% 0.09/5.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/5.38 % SZS output start CNFRefutation for theBenchmark
% 0.09/5.38 fof(f5,axiom,(
% 0.09/5.38 (![X]: (( ~ there_exists(codomain(X))| there_exists(X) ) ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f7,axiom,(
% 0.09/5.38 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f10,axiom,(
% 0.09/5.38 (![X]: (compose(X,domain(X)) = X ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f11,axiom,(
% 0.09/5.38 (![X]: (compose(codomain(X),X) = X ))),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f12,hypothesis,(
% 0.09/5.38 there_exists(codomain(a)) ),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f13,negated_conjecture,(
% 0.09/5.38 codomain(codomain(a)) != codomain(a) ),
% 0.09/5.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f19,plain,(
% 0.09/5.38 ![X0]: (~there_exists(codomain(X0))|there_exists(X0))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f5])).
% 0.09/5.38 fof(f22,plain,(
% 0.09/5.38 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/5.38 fof(f25,plain,(
% 0.09/5.38 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f10])).
% 0.09/5.38 fof(f26,plain,(
% 0.09/5.38 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f11])).
% 0.09/5.38 fof(f27,plain,(
% 0.09/5.38 there_exists(codomain(a))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f12])).
% 0.09/5.38 fof(f28,plain,(
% 0.09/5.38 ~codomain(codomain(a))=codomain(a)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f13])).
% 0.09/5.38 fof(f31,plain,(
% 0.09/5.38 there_exists(a)),
% 0.09/5.38 inference(resolution,[status(thm)],[f19,f27])).
% 0.09/5.38 fof(f37,plain,(
% 0.09/5.38 ![X0]: (~there_exists(X0)|domain(codomain(X0))=codomain(X0))),
% 0.09/5.38 inference(paramodulation,[status(thm)],[f26,f22])).
% 0.09/5.38 fof(f38,plain,(
% 0.09/5.38 ![X0]: (~there_exists(X0)|domain(X0)=codomain(domain(X0)))),
% 0.09/5.38 inference(paramodulation,[status(thm)],[f25,f22])).
% 0.09/5.38 fof(f72,plain,(
% 0.09/5.38 domain(codomain(a))=codomain(a)),
% 0.09/5.38 inference(resolution,[status(thm)],[f37,f31])).
% 0.09/5.38 fof(f98,plain,(
% 0.09/5.38 domain(codomain(a))=codomain(domain(codomain(a)))),
% 0.09/5.38 inference(resolution,[status(thm)],[f38,f27])).
% 0.09/5.38 fof(f107,plain,(
% 0.09/5.38 codomain(a)=codomain(domain(codomain(a)))),
% 0.09/5.38 inference(forward_demodulation,[status(thm)],[f72,f98])).
% 0.09/5.38 fof(f108,plain,(
% 0.09/5.38 codomain(a)=codomain(codomain(a))),
% 0.09/5.38 inference(forward_demodulation,[status(thm)],[f72,f107])).
% 0.09/5.38 fof(f109,plain,(
% 0.09/5.38 $false),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f108,f28])).
% 0.09/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.41 % Elapsed time: 0.044334 seconds
% 0.13/5.41 % CPU time: 0.137073 seconds
% 0.13/5.41 % Total memory used: 66.753 MB
% 0.13/5.41 % Net memory used: 66.227 MB
%------------------------------------------------------------------------------