%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET095-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:11:32 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET095-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n013.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 04:51:52 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.09/0.42 % Refutation found
% 0.09/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.42 fof(f2,axiom,(
% 0.09/0.42 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f3,axiom,(
% 0.09/0.42 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f125,axiom,(
% 0.09/0.42 (![Y,X]: (( ~ member(Y,singleton(X))| Y = X ) ))),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f139,negated_conjecture,(
% 0.09/0.42 member(x,y) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f140,negated_conjecture,(
% 0.09/0.42 ~ subclass(singleton(x),y) ),
% 0.09/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.42 fof(f143,plain,(
% 0.09/0.42 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.42 fof(f144,plain,(
% 0.09/0.42 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.42 fof(f292,plain,(
% 0.09/0.42 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f125])).
% 0.09/0.42 fof(f307,plain,(
% 0.09/0.42 member(x,y)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f139])).
% 0.09/0.42 fof(f308,plain,(
% 0.09/0.42 ~subclass(singleton(x),y)),
% 0.09/0.42 inference(cnf_transformation,[status(thm)],[f140])).
% 0.09/0.42 fof(f319,plain,(
% 0.09/0.42 ![X0,X1]: (not_subclass_element(singleton(X0),X1)=X0|subclass(singleton(X0),X1))),
% 0.09/0.42 inference(resolution,[status(thm)],[f292,f143])).
% 0.09/0.42 fof(f347,plain,(
% 0.09/0.42 not_subclass_element(singleton(x),y)=x),
% 0.09/0.42 inference(resolution,[status(thm)],[f319,f308])).
% 0.09/0.42 fof(f371,plain,(
% 0.09/0.42 ~member(x,y)|subclass(singleton(x),y)),
% 0.09/0.42 inference(paramodulation,[status(thm)],[f347,f144])).
% 0.09/0.42 fof(f373,definition,(
% 0.09/0.42 sQ0_spl <=> (member(x,y))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f375,plain,(
% 0.09/0.42 ~member(x,y)|sQ0_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f373])).
% 0.09/0.42 fof(f376,definition,(
% 0.09/0.42 sQ1_spl <=> (subclass(singleton(x),y))),
% 0.09/0.42 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.09/0.42 fof(f377,plain,(
% 0.09/0.42 subclass(singleton(x),y)|~sQ1_spl),
% 0.09/0.42 inference(component_clause,[status(thm)],[f376])).
% 0.09/0.42 fof(f379,plain,(
% 0.09/0.42 ~sQ0_spl|sQ1_spl),
% 0.09/0.42 inference(split_clause,[status(thm)],[f371,f373,f376])).
% 0.09/0.42 fof(f384,plain,(
% 0.09/0.42 $false|~sQ1_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f377,f308])).
% 0.09/0.42 fof(f385,plain,(
% 0.09/0.42 ~sQ1_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f384])).
% 0.09/0.42 fof(f386,plain,(
% 0.09/0.42 $false|sQ0_spl),
% 0.09/0.42 inference(forward_subsumption_resolution,[status(thm)],[f375,f307])).
% 0.09/0.42 fof(f387,plain,(
% 0.09/0.42 sQ0_spl),
% 0.09/0.42 inference(contradiction_clause,[status(thm)],[f386])).
% 0.09/0.42 fof(f388,plain,(
% 0.09/0.42 $false),
% 0.09/0.42 inference(sat_refutation,[status(thm)],[f379,f385,f387])).
% 0.09/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.066991 seconds
% 0.09/0.44 % CPU time: 0.203128 seconds
% 0.09/0.44 % Total memory used: 107.178 MB
% 0.09/0.44 % Net memory used: 106.994 MB
%------------------------------------------------------------------------------