%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET122-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n020.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 02:11:37 PM UTC 2026
% Result : Unsatisfiable 23.68s 3.49s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET122-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.35 % Computer : n020.cluster.edu
% 0.07/0.35 % Model : x86_64 x86_64
% 0.07/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.35 % Memory : 8046.5625MB
% 0.07/0.35 % OS : Linux 6.8.0-71-generic
% 0.07/0.35 % CPULimit : 300
% 0.07/0.35 % WCLimit : 300
% 0.07/0.35 % DateTime : Mon Sep 21 04:55:48 UTC 2026
% 0.07/0.35 % CPUTime :
% 0.07/0.38 % Drodi V4.1.1
% 23.68/3.49 % Refutation found
% 23.68/3.49 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 23.68/3.49 % SZS output start CNFRefutation for theBenchmark
% 23.68/3.49 fof(f1,axiom,(
% 23.68/3.49 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f4,axiom,(
% 23.68/3.49 (![X]: (subclass(X,universal_class) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f15,axiom,(
% 23.68/3.49 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f155,axiom,(
% 23.68/3.49 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| second(X) = X ) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f157,axiom,(
% 23.68/3.49 (![X]: (( ordered_pair(first(X),second(X)) = X| second(X) = X ) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f159,axiom,(
% 23.68/3.49 (![U,V]: (( ~ member(ordered_pair(U,V),cross_product(universal_class,universal_class))| second(ordered_pair(U,V)) = V ) ))),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f168,negated_conjecture,(
% 23.68/3.49 ~ member(y,universal_class) ),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f169,negated_conjecture,(
% 23.68/3.49 second(ordered_pair(x,y)) != ordered_pair(x,y) ),
% 23.68/3.49 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 23.68/3.49 fof(f170,plain,(
% 23.68/3.49 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 23.68/3.49 inference(miniscoping,[status(thm)],[f1])).
% 23.68/3.49 fof(f171,plain,(
% 23.68/3.49 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f170])).
% 23.68/3.49 fof(f174,plain,(
% 23.68/3.49 ![X0]: (subclass(X0,universal_class))),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f4])).
% 23.68/3.49 fof(f189,plain,(
% 23.68/3.49 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 23.68/3.49 inference(miniscoping,[status(thm)],[f15])).
% 23.68/3.49 fof(f190,plain,(
% 23.68/3.49 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f189])).
% 23.68/3.49 fof(f357,plain,(
% 23.68/3.49 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|second(X0)=X0)),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f155])).
% 23.68/3.49 fof(f359,plain,(
% 23.68/3.49 ![X0]: (ordered_pair(first(X0),second(X0))=X0|second(X0)=X0)),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f157])).
% 23.68/3.49 fof(f361,plain,(
% 23.68/3.49 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|second(ordered_pair(X0,X1))=X1)),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f159])).
% 23.68/3.49 fof(f372,plain,(
% 23.68/3.49 ~member(y,universal_class)),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f168])).
% 23.68/3.49 fof(f373,plain,(
% 23.68/3.49 ~second(ordered_pair(x,y))=ordered_pair(x,y)),
% 23.68/3.49 inference(cnf_transformation,[status(thm)],[f169])).
% 23.68/3.49 fof(f381,plain,(
% 23.68/3.49 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 23.68/3.49 inference(resolution,[status(thm)],[f174,f171])).
% 23.68/3.49 fof(f863,plain,(
% 23.68/3.49 ![X0]: (~member(y,X0))),
% 23.68/3.49 inference(resolution,[status(thm)],[f381,f372])).
% 23.68/3.49 fof(f1993,plain,(
% 23.68/3.49 ![X0]: (member(X0,cross_product(universal_class,universal_class))|second(X0)=X0|second(X0)=X0)),
% 23.68/3.49 inference(paramodulation,[status(thm)],[f359,f357])).
% 23.68/3.49 fof(f2017,plain,(
% 23.68/3.49 ![X0]: (member(X0,cross_product(universal_class,universal_class))|second(X0)=X0)),
% 23.68/3.49 inference(duplicate_literals_removal,[status(thm)],[f1993])).
% 23.68/3.49 fof(f2667,plain,(
% 23.68/3.49 ![X0]: (member(second(X0),universal_class)|second(X0)=X0)),
% 23.68/3.49 inference(resolution,[status(thm)],[f190,f357])).
% 23.68/3.49 fof(f9356,plain,(
% 23.68/3.49 ![X0,X1]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|second(ordered_pair(X0,X1))=X1)),
% 23.68/3.49 inference(resolution,[status(thm)],[f2017,f361])).
% 23.68/3.49 fof(f10274,plain,(
% 23.68/3.49 second(ordered_pair(x,y))=y),
% 23.68/3.49 inference(resolution,[status(thm)],[f9356,f373])).
% 23.68/3.49 fof(f14019,plain,(
% 23.68/3.49 ~y=ordered_pair(x,y)),
% 23.68/3.49 inference(backward_demodulation,[status(thm)],[f10274,f373])).
% 23.68/3.49 fof(f14058,plain,(
% 23.68/3.49 member(y,universal_class)|second(ordered_pair(x,y))=ordered_pair(x,y)),
% 23.68/3.49 inference(paramodulation,[status(thm)],[f10274,f2667])).
% 23.68/3.49 fof(f14069,plain,(
% 23.68/3.49 member(y,universal_class)|y=ordered_pair(x,y)),
% 23.68/3.51 inference(forward_demodulation,[status(thm)],[f10274,f14058])).
% 23.68/3.51 fof(f14070,plain,(
% 23.68/3.51 y=ordered_pair(x,y)),
% 23.68/3.51 inference(forward_subsumption_resolution,[status(thm)],[f14069,f863])).
% 23.68/3.51 fof(f14172,plain,(
% 23.68/3.51 $false),
% 23.68/3.51 inference(forward_subsumption_resolution,[status(thm)],[f14070,f14019])).
% 23.68/3.51 % SZS output end CNFRefutation for theBenchmark.p
% 12.10/3.57 % Elapsed time: 3.200813 seconds
% 12.10/3.57 % CPU time: 24.553746 seconds
% 12.10/3.57 % Total memory used: 253.229 MB
% 12.10/3.57 % Net memory used: 230.680 MB
%------------------------------------------------------------------------------