%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT011-4 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n005.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 12:07:43 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT011-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n005.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 13:55:47 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.40 % Refutation found
% 0.15/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.40 fof(f4,axiom,(
% 0.15/0.40 (![X]: (( ~ there_exists(domain(X))| there_exists(X) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f7,axiom,(
% 0.15/0.40 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f10,axiom,(
% 0.15/0.40 (![X]: (compose(X,domain(X)) = X ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f11,axiom,(
% 0.15/0.40 (![X]: (compose(codomain(X),X) = X ))),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f12,hypothesis,(
% 0.15/0.40 there_exists(domain(a)) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f13,negated_conjecture,(
% 0.15/0.40 domain(domain(a)) != domain(a) ),
% 0.15/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.40 fof(f18,plain,(
% 0.15/0.40 ![X0]: (~there_exists(domain(X0))|there_exists(X0))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.15/0.40 fof(f22,plain,(
% 0.15/0.40 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f7])).
% 0.15/0.40 fof(f25,plain,(
% 0.15/0.40 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f10])).
% 0.15/0.40 fof(f26,plain,(
% 0.15/0.40 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f11])).
% 0.15/0.40 fof(f27,plain,(
% 0.15/0.40 there_exists(domain(a))),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.15/0.40 fof(f28,plain,(
% 0.15/0.40 ~domain(domain(a))=domain(a)),
% 0.15/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.15/0.40 fof(f31,plain,(
% 0.15/0.40 there_exists(a)),
% 0.15/0.40 inference(resolution,[status(thm)],[f18,f27])).
% 0.15/0.40 fof(f37,plain,(
% 0.15/0.40 ![X0]: (~there_exists(X0)|domain(codomain(X0))=codomain(X0))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f26,f22])).
% 0.15/0.40 fof(f38,plain,(
% 0.15/0.40 ![X0]: (~there_exists(X0)|domain(X0)=codomain(domain(X0)))),
% 0.15/0.40 inference(paramodulation,[status(thm)],[f25,f22])).
% 0.15/0.40 fof(f62,plain,(
% 0.15/0.40 domain(codomain(domain(a)))=codomain(domain(a))),
% 0.15/0.40 inference(resolution,[status(thm)],[f37,f27])).
% 0.15/0.40 fof(f74,plain,(
% 0.15/0.40 domain(a)=codomain(domain(a))),
% 0.15/0.40 inference(resolution,[status(thm)],[f38,f31])).
% 0.15/0.40 fof(f82,plain,(
% 0.15/0.40 domain(codomain(domain(a)))=domain(a)),
% 0.15/0.40 inference(backward_demodulation,[status(thm)],[f74,f62])).
% 0.15/0.40 fof(f86,plain,(
% 0.15/0.40 domain(domain(a))=domain(a)),
% 0.15/0.40 inference(forward_demodulation,[status(thm)],[f74,f82])).
% 0.15/0.40 fof(f87,plain,(
% 0.15/0.40 $false),
% 0.15/0.40 inference(forward_subsumption_resolution,[status(thm)],[f86,f28])).
% 0.15/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.42 % Elapsed time: 0.048766 seconds
% 0.15/0.42 % CPU time: 0.143062 seconds
% 0.15/0.42 % Total memory used: 56.324 MB
% 0.15/0.42 % Net memory used: 55.883 MB
%------------------------------------------------------------------------------