%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT009-4 : 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 : 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 12:07:42 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.50s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT009-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n002.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % 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 13:58:32 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.50 % Refutation found
% 0.14/0.50 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.50 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.50 fof(f5,axiom,(
% 0.14/0.50 (![X]: (( ~ there_exists(codomain(X))| there_exists(X) ) ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f6,axiom,(
% 0.14/0.50 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f7,axiom,(
% 0.14/0.50 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f9,axiom,(
% 0.14/0.50 (![X,Y,Z]: (compose(X,compose(Y,Z)) = compose(compose(X,Y),Z) ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f10,axiom,(
% 0.14/0.50 (![X]: (compose(X,domain(X)) = X ))),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f12,hypothesis,(
% 0.14/0.50 there_exists(compose(a,b)) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f13,negated_conjecture,(
% 0.14/0.50 domain(compose(a,b)) != domain(b) ),
% 0.14/0.50 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.50 fof(f19,plain,(
% 0.14/0.50 ![X0]: (~there_exists(codomain(X0))|there_exists(X0))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.50 fof(f20,plain,(
% 0.14/0.50 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.14/0.50 inference(miniscoping,[status(thm)],[f6])).
% 0.14/0.50 fof(f21,plain,(
% 0.14/0.50 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.50 fof(f22,plain,(
% 0.14/0.50 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.50 fof(f24,plain,(
% 0.14/0.50 ![X0,X1,X2]: (compose(X0,compose(X1,X2))=compose(compose(X0,X1),X2))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f9])).
% 0.14/0.50 fof(f25,plain,(
% 0.14/0.50 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.50 fof(f27,plain,(
% 0.14/0.50 there_exists(compose(a,b))),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.50 fof(f28,plain,(
% 0.14/0.50 ~domain(compose(a,b))=domain(b)),
% 0.14/0.50 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.50 fof(f30,plain,(
% 0.14/0.50 there_exists(domain(a))),
% 0.14/0.50 inference(resolution,[status(thm)],[f21,f27])).
% 0.14/0.50 fof(f126,plain,(
% 0.14/0.50 domain(a)=codomain(b)),
% 0.14/0.50 inference(resolution,[status(thm)],[f22,f27])).
% 0.14/0.50 fof(f128,plain,(
% 0.14/0.50 ![X0,X1,X2]: (~there_exists(compose(X0,compose(X1,X2)))|domain(compose(X0,X1))=codomain(X2))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f24,f22])).
% 0.14/0.50 fof(f134,plain,(
% 0.14/0.50 ![X0]: (~there_exists(X0)|domain(X0)=codomain(domain(X0)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f25,f22])).
% 0.14/0.50 fof(f135,plain,(
% 0.14/0.50 ~there_exists(domain(a))|there_exists(b)),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f126,f19])).
% 0.14/0.50 fof(f137,plain,(
% 0.14/0.50 there_exists(b)),
% 0.14/0.50 inference(forward_subsumption_resolution,[status(thm)],[f135,f30])).
% 0.14/0.50 fof(f162,plain,(
% 0.14/0.50 domain(b)=codomain(domain(b))),
% 0.14/0.50 inference(resolution,[status(thm)],[f134,f137])).
% 0.14/0.50 fof(f269,plain,(
% 0.14/0.50 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(compose(X0,X1))=codomain(domain(X1)))),
% 0.14/0.50 inference(paramodulation,[status(thm)],[f25,f128])).
% 0.14/0.50 fof(f576,plain,(
% 0.14/0.50 domain(compose(a,b))=codomain(domain(b))),
% 0.14/0.50 inference(resolution,[status(thm)],[f269,f27])).
% 0.14/0.50 fof(f588,plain,(
% 0.14/0.50 domain(compose(a,b))=domain(b)),
% 0.14/0.50 inference(forward_demodulation,[status(thm)],[f162,f576])).
% 0.14/0.50 fof(f589,plain,(
% 0.14/0.50 $false),
% 0.14/0.50 inference(forward_subsumption_resolution,[status(thm)],[f588,f28])).
% 0.14/0.50 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.52 % Elapsed time: 0.140073 seconds
% 0.14/0.52 % CPU time: 0.877996 seconds
% 0.14/0.52 % Total memory used: 80.753 MB
% 0.14/0.52 % Net memory used: 80.049 MB
%------------------------------------------------------------------------------