%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET121-7 : 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 : n008.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 14.85s 2.33s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET121-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.36 % Computer : n008.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 04:55:54 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.39 % Drodi V4.1.1
% 14.85/2.33 % Refutation found
% 14.85/2.33 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 14.85/2.33 % SZS output start CNFRefutation for theBenchmark
% 14.85/2.33 fof(f15,axiom,(
% 14.85/2.33 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f151,axiom,(
% 14.85/2.33 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(W,universal_class)| W = Y ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f152,axiom,(
% 14.85/2.33 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(X,universal_class)| X = Z ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f154,axiom,(
% 14.85/2.33 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| first(X) = X ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f156,axiom,(
% 14.85/2.33 (![X]: (( ordered_pair(first(X),second(X)) = X| first(X) = X ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f166,axiom,(
% 14.85/2.33 (![X,Y]: (( member(X,universal_class)| first(ordered_pair(X,Y)) = ordered_pair(X,Y) ) ))),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f168,negated_conjecture,(
% 14.85/2.33 ~ member(y,universal_class) ),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f169,negated_conjecture,(
% 14.85/2.33 first(ordered_pair(x,y)) != ordered_pair(x,y) ),
% 14.85/2.33 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 14.85/2.33 fof(f189,plain,(
% 14.85/2.33 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 14.85/2.33 inference(miniscoping,[status(thm)],[f15])).
% 14.85/2.33 fof(f190,plain,(
% 14.85/2.33 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f189])).
% 14.85/2.33 fof(f351,plain,(
% 14.85/2.33 ![W,Y]: (((![X,Z]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(W,universal_class))|W=Y)),
% 14.85/2.33 inference(miniscoping,[status(thm)],[f151])).
% 14.85/2.33 fof(f352,plain,(
% 14.85/2.33 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X0,universal_class)|X0=X2)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f351])).
% 14.85/2.33 fof(f353,plain,(
% 14.85/2.33 ![X,Z]: (((![W,Y]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(X,universal_class))|X=Z)),
% 14.85/2.33 inference(miniscoping,[status(thm)],[f152])).
% 14.85/2.33 fof(f354,plain,(
% 14.85/2.33 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X1,universal_class)|X1=X3)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f353])).
% 14.85/2.33 fof(f356,plain,(
% 14.85/2.33 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|first(X0)=X0)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f154])).
% 14.85/2.33 fof(f358,plain,(
% 14.85/2.33 ![X0]: (ordered_pair(first(X0),second(X0))=X0|first(X0)=X0)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f156])).
% 14.85/2.33 fof(f368,plain,(
% 14.85/2.33 ![X]: (member(X,universal_class)|(![Y]: first(ordered_pair(X,Y))=ordered_pair(X,Y)))),
% 14.85/2.33 inference(miniscoping,[status(thm)],[f166])).
% 14.85/2.33 fof(f369,plain,(
% 14.85/2.33 ![X0,X1]: (member(X0,universal_class)|first(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f368])).
% 14.85/2.33 fof(f372,plain,(
% 14.85/2.33 ~member(y,universal_class)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f168])).
% 14.85/2.33 fof(f373,plain,(
% 14.85/2.33 ~first(ordered_pair(x,y))=ordered_pair(x,y)),
% 14.85/2.33 inference(cnf_transformation,[status(thm)],[f169])).
% 14.85/2.33 fof(f1289,plain,(
% 14.85/2.33 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~member(second(ordered_pair(X0,X1)),universal_class)|second(ordered_pair(X0,X1))=X1)),
% 14.85/2.33 inference(resolution,[status(thm)],[f358,f354])).
% 14.85/2.33 fof(f1292,plain,(
% 14.85/2.33 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~member(X0,universal_class)|X0=first(ordered_pair(X0,X1)))),
% 14.85/2.33 inference(resolution,[status(thm)],[f358,f352])).
% 14.85/2.33 fof(f1328,plain,(
% 14.85/2.33 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|X0=first(ordered_pair(X0,X1)))),
% 14.85/2.33 inference(forward_subsumption_resolution,[status(thm)],[f1292,f369])).
% 14.85/2.33 fof(f2416,plain,(
% 14.85/2.33 x=first(ordered_pair(x,y))),
% 14.85/2.33 inference(resolution,[status(thm)],[f1328,f373])).
% 14.85/2.33 fof(f4829,plain,(
% 14.85/2.33 ![X0]: (first(X0)=X0|member(second(X0),universal_class))),
% 14.85/2.33 inference(resolution,[status(thm)],[f356,f190])).
% 14.85/2.36 fof(f5041,plain,(
% 14.85/2.36 ~x=ordered_pair(x,y)),
% 14.85/2.36 inference(backward_demodulation,[status(thm)],[f2416,f373])).
% 14.85/2.36 fof(f5956,plain,(
% 14.85/2.36 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|second(ordered_pair(X0,X1))=X1)),
% 14.85/2.36 inference(backward_subsumption_resolution,[status(thm)],[f1289,f4829])).
% 14.85/2.36 fof(f7680,plain,(
% 14.85/2.36 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|member(X1,universal_class)|first(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 14.85/2.36 inference(paramodulation,[status(thm)],[f5956,f4829])).
% 14.85/2.36 fof(f7699,plain,(
% 14.85/2.36 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|member(X1,universal_class))),
% 14.85/2.36 inference(duplicate_literals_removal,[status(thm)],[f7680])).
% 14.85/2.36 fof(f7711,plain,(
% 14.85/2.36 ![X0]: (first(ordered_pair(X0,y))=ordered_pair(X0,y))),
% 14.85/2.36 inference(resolution,[status(thm)],[f7699,f372])).
% 14.85/2.36 fof(f8770,plain,(
% 14.85/2.36 x=ordered_pair(x,y)),
% 14.85/2.36 inference(backward_demodulation,[status(thm)],[f7711,f2416])).
% 14.85/2.36 fof(f8801,plain,(
% 14.85/2.36 $false),
% 14.85/2.36 inference(forward_subsumption_resolution,[status(thm)],[f8770,f5041])).
% 14.85/2.36 % SZS output end CNFRefutation for theBenchmark.p
% 14.85/2.38 % Elapsed time: 1.992717 seconds
% 14.85/2.38 % CPU time: 15.405381 seconds
% 14.85/2.38 % Total memory used: 254.230 MB
% 14.85/2.38 % Net memory used: 230.950 MB
%------------------------------------------------------------------------------