%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT006-3 : 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 : n019.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 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.35 % Computer : n019.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.35 % CPULimit : 300
% 0.10/0.35 % WCLimit : 300
% 0.10/0.35 % DateTime : Mon Sep 21 13:55:51 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f5,axiom,(
% 0.14/0.39 (![X]: (( ~ there_exists(codomain(X))| there_exists(X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f7,axiom,(
% 0.14/0.39 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f10,axiom,(
% 0.14/0.39 (![X]: (compose(X,domain(X)) = X ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f14,axiom,(
% 0.14/0.39 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(codomain(X)) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f18,hypothesis,(
% 0.14/0.39 there_exists(compose(d,a)) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f20,hypothesis,(
% 0.14/0.39 (![X]: (( ~ there_exists(compose(d,X))| compose(d,X) = X ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f21,negated_conjecture,(
% 0.14/0.39 codomain(a) != d ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f27,plain,(
% 0.14/0.39 ![X0]: (~there_exists(codomain(X0))|there_exists(X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.39 fof(f30,plain,(
% 0.14/0.39 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.14/0.39 fof(f33,plain,(
% 0.14/0.39 ![X0]: (compose(X0,domain(X0))=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.14/0.39 fof(f38,plain,(
% 0.14/0.39 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(codomain(X)))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f14])).
% 0.14/0.39 fof(f39,plain,(
% 0.14/0.39 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(codomain(X0)))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f38])).
% 0.14/0.39 fof(f43,plain,(
% 0.14/0.39 there_exists(compose(d,a))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f18])).
% 0.14/0.39 fof(f45,plain,(
% 0.14/0.39 ![X0]: (~there_exists(compose(d,X0))|compose(d,X0)=X0)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.39 fof(f46,plain,(
% 0.14/0.39 ~codomain(a)=d),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f21])).
% 0.14/0.39 fof(f51,plain,(
% 0.14/0.39 domain(d)=codomain(a)),
% 0.14/0.39 inference(resolution,[status(thm)],[f43,f30])).
% 0.14/0.39 fof(f52,plain,(
% 0.14/0.39 there_exists(codomain(d))),
% 0.14/0.39 inference(resolution,[status(thm)],[f39,f43])).
% 0.14/0.39 fof(f57,plain,(
% 0.14/0.39 there_exists(d)),
% 0.14/0.39 inference(resolution,[status(thm)],[f52,f27])).
% 0.14/0.39 fof(f73,plain,(
% 0.14/0.39 ~there_exists(d)|compose(d,domain(d))=domain(d)),
% 0.14/0.39 inference(paramodulation,[status(thm)],[f33,f45])).
% 0.14/0.39 fof(f78,plain,(
% 0.14/0.39 ~there_exists(d)|d=domain(d)),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f33,f73])).
% 0.14/0.39 fof(f79,plain,(
% 0.14/0.39 d=domain(d)),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f78,f57])).
% 0.14/0.39 fof(f86,plain,(
% 0.14/0.39 ~domain(d)=d),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f51,f46])).
% 0.14/0.39 fof(f100,plain,(
% 0.14/0.39 ~d=d),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f79,f86])).
% 0.14/0.39 fof(f101,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(trivial_equality_resolution,[status(thm)],[f100])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.41 % Elapsed time: 0.052056 seconds
% 0.14/0.41 % CPU time: 0.148143 seconds
% 0.14/0.41 % Total memory used: 101.646 MB
% 0.14/0.41 % Net memory used: 101.298 MB
%------------------------------------------------------------------------------