%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT009-3 : 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 : 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 12:07:42 PM UTC 2026
% Result : Unsatisfiable 0.22s 0.82s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : CAT009-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.66 % Computer : n005.cluster.edu
% 0.18/0.66 % Model : x86_64 x86_64
% 0.18/0.66 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.66 % Memory : 8046.5625MB
% 0.18/0.66 % OS : Linux 6.8.0-71-generic
% 0.18/0.66 % CPULimit : 300
% 0.18/0.66 % WCLimit : 300
% 0.18/0.66 % DateTime : Mon Sep 21 13:55:33 UTC 2026
% 0.18/0.66 % CPUTime :
% 0.18/0.68 % Drodi V4.1.1
% 0.22/0.82 % Refutation found
% 0.22/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/0.82 % SZS output start CNFRefutation for theBenchmark
% 0.22/0.82 fof(f5,axiom,(
% 0.22/0.82 (![X]: (( ~ there_exists(codomain(X))| there_exists(X) ) ))),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f6,axiom,(
% 0.22/0.82 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f7,axiom,(
% 0.22/0.82 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f9,axiom,(
% 0.22/0.82 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f10,axiom,(
% 0.22/0.82 (![X]: (compose(X,domain(X)) = X ))),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f18,hypothesis,(
% 0.22/0.82 there_exists(compose(a,b)) ),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f19,negated_conjecture,(
% 0.22/0.82 domain(compose(a,b)) != domain(b) ),
% 0.22/0.82 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/0.82 fof(f25,plain,(
% 0.22/0.82 ![X0]: (~there_exists(codomain(X0))|there_exists(X0))),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f5])).
% 0.22/0.82 fof(f26,plain,(
% 0.22/0.82 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.22/0.82 inference(miniscoping,[status(thm)],[f6])).
% 0.22/0.82 fof(f27,plain,(
% 0.22/0.82 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f26])).
% 0.22/0.82 fof(f28,plain,(
% 0.22/0.82 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f7])).
% 0.22/0.82 fof(f30,plain,(
% 0.22/0.82 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f9])).
% 0.22/0.82 fof(f31,plain,(
% 0.22/0.82 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f10])).
% 0.22/0.82 fof(f41,plain,(
% 0.22/0.82 there_exists(compose(a,b))),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f18])).
% 0.22/0.82 fof(f42,plain,(
% 0.22/0.82 ~domain(compose(a,b))=domain(b)),
% 0.22/0.82 inference(cnf_transformation,[status(thm)],[f19])).
% 0.22/0.82 fof(f47,plain,(
% 0.22/0.82 there_exists(domain(a))),
% 0.22/0.82 inference(resolution,[status(thm)],[f41,f27])).
% 0.22/0.82 fof(f78,plain,(
% 0.22/0.82 domain(a)=codomain(b)),
% 0.22/0.82 inference(resolution,[status(thm)],[f28,f41])).
% 0.22/0.82 fof(f79,plain,(
% 0.22/0.82 ![X0,X1,X2]: (~there_exists(compose(X0,compose(X1,X2)))|domain(compose(X0,X1))=codomain(X2))),
% 0.22/0.82 inference(paramodulation,[status(thm)],[f30,f28])).
% 0.22/0.82 fof(f81,plain,(
% 0.22/0.82 ![X0]: (~there_exists(X0)|domain(X0)=codomain(domain(X0)))),
% 0.22/0.82 inference(paramodulation,[status(thm)],[f31,f28])).
% 0.22/0.82 fof(f90,plain,(
% 0.22/0.82 ~there_exists(domain(a))|there_exists(b)),
% 0.22/0.82 inference(paramodulation,[status(thm)],[f78,f25])).
% 0.22/0.82 fof(f91,plain,(
% 0.22/0.82 there_exists(b)),
% 0.22/0.82 inference(forward_subsumption_resolution,[status(thm)],[f90,f47])).
% 0.22/0.82 fof(f145,plain,(
% 0.22/0.82 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(compose(X0,X1))=codomain(domain(X1)))),
% 0.22/0.82 inference(paramodulation,[status(thm)],[f31,f79])).
% 0.22/0.82 fof(f148,plain,(
% 0.22/0.82 domain(b)=codomain(domain(b))),
% 0.22/0.82 inference(resolution,[status(thm)],[f81,f91])).
% 0.22/0.82 fof(f1332,plain,(
% 0.22/0.82 domain(compose(a,b))=codomain(domain(b))),
% 0.22/0.82 inference(resolution,[status(thm)],[f145,f41])).
% 0.22/0.82 fof(f1350,plain,(
% 0.22/0.82 domain(compose(a,b))=domain(b)),
% 0.22/0.82 inference(forward_demodulation,[status(thm)],[f148,f1332])).
% 0.22/0.82 fof(f1351,plain,(
% 0.22/0.82 $false),
% 0.22/0.82 inference(forward_subsumption_resolution,[status(thm)],[f1350,f42])).
% 0.22/0.82 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/0.84 % Elapsed time: 0.162231 seconds
% 0.22/0.84 % CPU time: 0.811140 seconds
% 0.22/0.84 % Total memory used: 88.174 MB
% 0.22/0.84 % Net memory used: 86.895 MB
%------------------------------------------------------------------------------