%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT005-3 : 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 12:07:41 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 : CAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/5.35 % Computer : n002.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 13:58:23 UTC 2026
% 0.09/5.36 % 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(f4,axiom,(
% 0.09/5.38 (![X]: (( ~ there_exists(domain(X))| there_exists(X) ) ))),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 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/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f6,axiom,(
% 0.09/5.38 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.09/5.38 file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f18,hypothesis,(
% 0.09/5.38 there_exists(compose(a,d)) ),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f19,hypothesis,(
% 0.09/5.38 (![X]: (( ~ there_exists(compose(X,d))| compose(X,d) = X ) ))),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f21,negated_conjecture,(
% 0.09/5.38 domain(a) != d ),
% 0.09/5.38 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/5.38 fof(f26,plain,(
% 0.09/5.38 ![X0]: (~there_exists(domain(X0))|there_exists(X0))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f4])).
% 0.09/5.38 fof(f27,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(f28,plain,(
% 0.09/5.38 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.09/5.38 inference(miniscoping,[status(thm)],[f6])).
% 0.09/5.38 fof(f29,plain,(
% 0.09/5.38 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f28])).
% 0.09/5.38 fof(f30,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(f34,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(f43,plain,(
% 0.09/5.38 there_exists(compose(a,d))),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f18])).
% 0.09/5.38 fof(f44,plain,(
% 0.09/5.38 ![X0]: (~there_exists(compose(X0,d))|compose(X0,d)=X0)),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f19])).
% 0.09/5.38 fof(f46,plain,(
% 0.09/5.38 ~domain(a)=d),
% 0.09/5.38 inference(cnf_transformation,[status(thm)],[f21])).
% 0.09/5.38 fof(f50,plain,(
% 0.09/5.38 there_exists(domain(a))),
% 0.09/5.38 inference(resolution,[status(thm)],[f29,f43])).
% 0.09/5.38 fof(f52,plain,(
% 0.09/5.38 there_exists(a)),
% 0.09/5.38 inference(resolution,[status(thm)],[f50,f26])).
% 0.09/5.38 fof(f53,plain,(
% 0.09/5.38 compose(a,d)=a),
% 0.09/5.38 inference(resolution,[status(thm)],[f44,f43])).
% 0.09/5.38 fof(f61,plain,(
% 0.09/5.38 ~there_exists(d)|compose(codomain(d),d)=codomain(d)),
% 0.09/5.38 inference(paramodulation,[status(thm)],[f34,f44])).
% 0.09/5.38 fof(f63,plain,(
% 0.09/5.38 ~there_exists(d)|d=codomain(d)),
% 0.09/5.38 inference(forward_demodulation,[status(thm)],[f34,f61])).
% 0.09/5.38 fof(f71,plain,(
% 0.09/5.38 ~there_exists(a)|domain(a)=codomain(d)),
% 0.09/5.38 inference(paramodulation,[status(thm)],[f53,f30])).
% 0.09/5.38 fof(f73,plain,(
% 0.09/5.38 ~there_exists(d)|d=domain(a)),
% 0.09/5.38 inference(backward_demodulation,[status(thm)],[f74,f63])).
% 0.09/5.38 fof(f74,plain,(
% 0.09/5.38 domain(a)=codomain(d)),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f71,f52])).
% 0.09/5.38 fof(f75,plain,(
% 0.09/5.38 ~there_exists(d)),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f73,f46])).
% 0.09/5.38 fof(f80,plain,(
% 0.09/5.38 ~there_exists(domain(a))|there_exists(d)),
% 0.09/5.38 inference(paramodulation,[status(thm)],[f74,f27])).
% 0.09/5.38 fof(f83,plain,(
% 0.09/5.38 there_exists(d)),
% 0.09/5.38 inference(forward_subsumption_resolution,[status(thm)],[f80,f50])).
% 0.09/5.38 fof(f84,plain,(
% 0.09/5.38 $false),
% 0.09/5.38 inference(backward_subsumption_resolution,[status(thm)],[f75,f83])).
% 0.09/5.38 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/5.40 % Elapsed time: 0.037985 seconds
% 0.13/5.40 % CPU time: 0.125813 seconds
% 0.13/5.40 % Total memory used: 73.177 MB
% 0.13/5.40 % Net memory used: 72.931 MB
%------------------------------------------------------------------------------