%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET183-6 : 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 : n011.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 02:11:44 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET183-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n011.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 04:59:40 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.09/0.41 % Refutation found
% 0.09/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.09/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.09/0.41 fof(f1,axiom,(
% 0.09/0.41 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f2,axiom,(
% 0.09/0.41 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f3,axiom,(
% 0.09/0.41 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f7,axiom,(
% 0.09/0.41 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f21,axiom,(
% 0.09/0.41 (![Z,X,Y]: (( ~ member(Z,intersection(X,Y))| member(Z,X) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f23,axiom,(
% 0.09/0.41 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f113,negated_conjecture,(
% 0.09/0.41 subclass(x,y) ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f114,negated_conjecture,(
% 0.09/0.41 intersection(x,y) != x ),
% 0.09/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.09/0.41 fof(f115,plain,(
% 0.09/0.41 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.09/0.41 fof(f116,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f115])).
% 0.09/0.41 fof(f117,plain,(
% 0.09/0.41 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.09/0.41 fof(f118,plain,(
% 0.09/0.41 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.09/0.41 fof(f122,plain,(
% 0.09/0.41 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f7])).
% 0.09/0.41 fof(f142,plain,(
% 0.09/0.41 ![Z,X]: ((![Y]: ~member(Z,intersection(X,Y)))|member(Z,X))),
% 0.09/0.41 inference(miniscoping,[status(thm)],[f21])).
% 0.09/0.41 fof(f143,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~member(X0,intersection(X1,X2))|member(X0,X1))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f142])).
% 0.09/0.41 fof(f146,plain,(
% 0.09/0.41 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f23])).
% 0.09/0.41 fof(f246,plain,(
% 0.09/0.41 subclass(x,y)),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f113])).
% 0.09/0.41 fof(f247,plain,(
% 0.09/0.41 ~intersection(x,y)=x),
% 0.09/0.41 inference(cnf_transformation,[status(thm)],[f114])).
% 0.09/0.41 fof(f266,plain,(
% 0.09/0.41 ![X0,X1,X2,X3]: (~member(X0,X1)|member(X0,intersection(X1,X2))|~subclass(X3,X2)|~member(X0,X3))),
% 0.09/0.41 inference(resolution,[status(thm)],[f146,f116])).
% 0.09/0.41 fof(f272,plain,(
% 0.09/0.41 ![X0,X1,X2]: (subclass(intersection(X0,X1),X2)|member(not_subclass_element(intersection(X0,X1),X2),X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f117,f143])).
% 0.09/0.41 fof(f307,plain,(
% 0.09/0.41 ![X0,X1]: (~member(X0,X1)|member(X0,intersection(X1,y))|~member(X0,x))),
% 0.09/0.41 inference(resolution,[status(thm)],[f266,f246])).
% 0.09/0.41 fof(f336,plain,(
% 0.09/0.41 ![X0,X1]: (~member(not_subclass_element(x,X0),X1)|member(not_subclass_element(x,X0),intersection(X1,y))|subclass(x,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f307,f117])).
% 0.09/0.41 fof(f340,plain,(
% 0.09/0.41 ![X0]: (member(not_subclass_element(x,X0),intersection(x,y))|subclass(x,X0)|subclass(x,X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f336,f117])).
% 0.09/0.41 fof(f342,plain,(
% 0.09/0.41 ![X0]: (member(not_subclass_element(x,X0),intersection(x,y))|subclass(x,X0))),
% 0.09/0.41 inference(duplicate_literals_removal,[status(thm)],[f340])).
% 0.09/0.41 fof(f345,plain,(
% 0.09/0.41 subclass(x,intersection(x,y))|subclass(x,intersection(x,y))),
% 0.09/0.41 inference(resolution,[status(thm)],[f342,f118])).
% 0.09/0.41 fof(f351,definition,(
% 0.09/0.41 sQ2_spl <=> (subclass(x,intersection(x,y)))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f352,plain,(
% 0.09/0.41 subclass(x,intersection(x,y))|~sQ2_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f351])).
% 0.09/0.41 fof(f354,plain,(
% 0.09/0.41 sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f345,f351])).
% 0.09/0.41 fof(f358,plain,(
% 0.09/0.41 ~subclass(intersection(x,y),x)|intersection(x,y)=x|~sQ2_spl),
% 0.09/0.41 inference(resolution,[status(thm)],[f352,f122])).
% 0.09/0.41 fof(f359,definition,(
% 0.09/0.41 sQ3_spl <=> (subclass(intersection(x,y),x))),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f361,plain,(
% 0.09/0.41 ~subclass(intersection(x,y),x)|sQ3_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f359])).
% 0.09/0.41 fof(f362,definition,(
% 0.09/0.41 sQ4_spl <=> (intersection(x,y)=x)),
% 0.09/0.41 introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition])).
% 0.09/0.41 fof(f363,plain,(
% 0.09/0.41 intersection(x,y)=x|~sQ4_spl),
% 0.09/0.41 inference(component_clause,[status(thm)],[f362])).
% 0.09/0.41 fof(f365,plain,(
% 0.09/0.41 ~sQ3_spl|sQ4_spl|~sQ2_spl),
% 0.09/0.41 inference(split_clause,[status(thm)],[f358,f359,f362,f351])).
% 0.09/0.41 fof(f407,plain,(
% 0.09/0.41 ![X0,X1]: (subclass(intersection(X0,X1),X0)|subclass(intersection(X0,X1),X0))),
% 0.09/0.41 inference(resolution,[status(thm)],[f272,f118])).
% 0.09/0.41 fof(f417,plain,(
% 0.09/0.41 ![X0,X1]: (subclass(intersection(X0,X1),X0))),
% 0.09/0.41 inference(duplicate_literals_removal,[status(thm)],[f407])).
% 0.09/0.41 fof(f427,plain,(
% 0.09/0.41 $false|sQ3_spl),
% 0.09/0.41 inference(backward_subsumption_resolution,[status(thm)],[f361,f417])).
% 0.09/0.41 fof(f435,plain,(
% 0.09/0.41 sQ3_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f427])).
% 0.09/0.41 fof(f436,plain,(
% 0.09/0.41 $false|~sQ4_spl),
% 0.09/0.41 inference(forward_subsumption_resolution,[status(thm)],[f363,f247])).
% 0.09/0.41 fof(f437,plain,(
% 0.09/0.41 ~sQ4_spl),
% 0.09/0.41 inference(contradiction_clause,[status(thm)],[f436])).
% 0.09/0.41 fof(f438,plain,(
% 0.09/0.41 $false),
% 0.09/0.41 inference(sat_refutation,[status(thm)],[f354,f365,f435,f437])).
% 0.09/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.09/0.44 % Elapsed time: 0.064874 seconds
% 0.09/0.44 % CPU time: 0.294429 seconds
% 0.09/0.44 % Total memory used: 108.914 MB
% 0.09/0.44 % Net memory used: 108.379 MB
%------------------------------------------------------------------------------