%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET116-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n003.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 02:11:36 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET116-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n003.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:56:15 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f156,axiom,(
% 0.13/0.40 (![X]: (( ordered_pair(first(X),second(X)) = X| first(X) = X ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f157,axiom,(
% 0.13/0.40 (![X]: (( ordered_pair(first(X),second(X)) = X| second(X) = X ) ))),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f160,negated_conjecture,(
% 0.13/0.40 ordered_pair(first(x),second(x)) != x ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f161,negated_conjecture,(
% 0.13/0.40 second(x) != x ),
% 0.13/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f350,plain,(
% 0.13/0.40 ![X0]: (ordered_pair(first(X0),second(X0))=X0|first(X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f156])).
% 0.13/0.40 fof(f351,plain,(
% 0.13/0.40 ![X0]: (ordered_pair(first(X0),second(X0))=X0|second(X0)=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f157])).
% 0.13/0.40 fof(f354,plain,(
% 0.13/0.40 ~ordered_pair(first(x),second(x))=x),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f160])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 ~second(x)=x),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f161])).
% 0.13/0.40 fof(f359,plain,(
% 0.13/0.40 first(x)=x),
% 0.13/0.40 inference(resolution,[status(thm)],[f350,f354])).
% 0.13/0.40 fof(f371,plain,(
% 0.13/0.40 ~ordered_pair(x,second(x))=x),
% 0.13/0.40 inference(backward_demodulation,[status(thm)],[f359,f354])).
% 0.13/0.40 fof(f373,definition,(
% 0.13/0.40 sQ2_spl <=> (ordered_pair(x,second(x))=x)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f374,plain,(
% 0.13/0.40 ordered_pair(x,second(x))=x|~sQ2_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f373])).
% 0.13/0.40 fof(f378,plain,(
% 0.13/0.40 ordered_pair(x,second(x))=x|second(x)=x),
% 0.13/0.40 inference(paramodulation,[status(thm)],[f359,f351])).
% 0.13/0.40 fof(f381,definition,(
% 0.13/0.40 sQ3_spl <=> (second(x)=x)),
% 0.13/0.40 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.13/0.40 fof(f382,plain,(
% 0.13/0.40 second(x)=x|~sQ3_spl),
% 0.13/0.40 inference(component_clause,[status(thm)],[f381])).
% 0.13/0.40 fof(f384,plain,(
% 0.13/0.40 sQ2_spl|sQ3_spl),
% 0.13/0.40 inference(split_clause,[status(thm)],[f378,f373,f381])).
% 0.13/0.40 fof(f385,plain,(
% 0.13/0.40 $false|~sQ2_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f374,f371])).
% 0.13/0.40 fof(f386,plain,(
% 0.13/0.40 ~sQ2_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f385])).
% 0.13/0.40 fof(f387,plain,(
% 0.13/0.40 $false|~sQ3_spl),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f382,f355])).
% 0.13/0.40 fof(f388,plain,(
% 0.13/0.40 ~sQ3_spl),
% 0.13/0.40 inference(contradiction_clause,[status(thm)],[f387])).
% 0.13/0.40 fof(f389,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(sat_refutation,[status(thm)],[f384,f386,f388])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.43 % Elapsed time: 0.071666 seconds
% 0.13/0.43 % CPU time: 0.175834 seconds
% 0.13/0.43 % Total memory used: 107.320 MB
% 0.13/0.43 % Net memory used: 107.213 MB
%------------------------------------------------------------------------------