%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : CAT005-4 : 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 : n015.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 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT005-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 13:58:52 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.13/0.36 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (![X]: (( ~ there_exists(codomain(X))| there_exists(X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ there_exists(compose(X,Y))| there_exists(domain(X)) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f7,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ there_exists(compose(X,Y))| domain(X) = codomain(Y) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,axiom,(
% 0.13/0.39 (![X]: (compose(codomain(X),X) = X ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f12,hypothesis,(
% 0.13/0.39 there_exists(compose(a,d)) ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f13,hypothesis,(
% 0.13/0.39 (![X]: (( ~ there_exists(compose(X,d))| compose(X,d) = X ) ))),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f15,negated_conjecture,(
% 0.13/0.39 domain(a) != d ),
% 0.13/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 ![X0]: (~there_exists(codomain(X0))|there_exists(X0))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 ![X]: ((![Y]: ~there_exists(compose(X,Y)))|there_exists(domain(X)))),
% 0.13/0.39 inference(miniscoping,[status(thm)],[f6])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ![X0,X1]: (~there_exists(compose(X0,X1))|there_exists(domain(X0)))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f22])).
% 0.13/0.39 fof(f24,plain,(
% 0.13/0.39 ![X0,X1]: (~there_exists(compose(X0,X1))|domain(X0)=codomain(X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f7])).
% 0.13/0.39 fof(f28,plain,(
% 0.13/0.39 ![X0]: (compose(codomain(X0),X0)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f29,plain,(
% 0.13/0.39 there_exists(compose(a,d))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.39 fof(f30,plain,(
% 0.13/0.39 ![X0]: (~there_exists(compose(X0,d))|compose(X0,d)=X0)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.39 fof(f32,plain,(
% 0.13/0.39 ~domain(a)=d),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f15])).
% 0.13/0.39 fof(f35,plain,(
% 0.13/0.39 there_exists(domain(a))),
% 0.13/0.39 inference(resolution,[status(thm)],[f23,f29])).
% 0.13/0.39 fof(f40,plain,(
% 0.13/0.39 domain(a)=codomain(d)),
% 0.13/0.39 inference(resolution,[status(thm)],[f24,f29])).
% 0.13/0.39 fof(f61,plain,(
% 0.13/0.39 ~there_exists(d)|compose(codomain(d),d)=codomain(d)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f28,f30])).
% 0.13/0.39 fof(f66,definition,(
% 0.13/0.39 sQ0_spl <=> (there_exists(d))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f69,definition,(
% 0.13/0.39 sQ1_spl <=> (compose(codomain(d),d)=codomain(d))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 compose(codomain(d),d)=codomain(d)|~sQ1_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.39 fof(f72,plain,(
% 0.13/0.39 ~sQ0_spl|sQ1_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f61,f66,f69])).
% 0.13/0.39 fof(f79,plain,(
% 0.13/0.39 ~there_exists(domain(a))|there_exists(d)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f40,f21])).
% 0.13/0.39 fof(f81,definition,(
% 0.13/0.39 sQ3_spl <=> (there_exists(domain(a)))),
% 0.13/0.39 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.39 fof(f83,plain,(
% 0.13/0.39 ~there_exists(domain(a))|sQ3_spl),
% 0.13/0.39 inference(component_clause,[status(thm)],[f81])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 ~sQ3_spl|sQ0_spl),
% 0.13/0.39 inference(split_clause,[status(thm)],[f79,f81,f66])).
% 0.13/0.39 fof(f85,plain,(
% 0.13/0.39 $false|sQ3_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f83,f35])).
% 0.13/0.39 fof(f86,plain,(
% 0.13/0.39 sQ3_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f85])).
% 0.13/0.39 fof(f87,plain,(
% 0.13/0.39 domain(a)=d|~sQ1_spl),
% 0.13/0.39 inference(backward_demodulation,[status(thm)],[f88,f40])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 d=codomain(d)|~sQ1_spl),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f28,f70])).
% 0.13/0.39 fof(f90,plain,(
% 0.13/0.39 $false|~sQ1_spl),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f87,f32])).
% 0.13/0.39 fof(f91,plain,(
% 0.13/0.39 ~sQ1_spl),
% 0.13/0.39 inference(contradiction_clause,[status(thm)],[f90])).
% 0.13/0.39 fof(f92,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(sat_refutation,[status(thm)],[f72,f84,f86,f91])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.41 % Elapsed time: 0.053535 seconds
% 0.13/0.41 % CPU time: 0.150626 seconds
% 0.13/0.41 % Total memory used: 66.688 MB
% 0.13/0.41 % Net memory used: 66.212 MB
%------------------------------------------------------------------------------