%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET119-7 : 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 : n015.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 2.30s 1.01s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET119-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n015.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:57:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 2.30/1.01 % Refutation found
% 2.30/1.01 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.30/1.01 % SZS output start CNFRefutation for theBenchmark
% 2.30/1.01 fof(f14,axiom,(
% 2.30/1.01 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f151,axiom,(
% 2.30/1.01 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(W,universal_class)| W = Y ) ))),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f154,axiom,(
% 2.30/1.01 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| first(X) = X ) ))),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f156,axiom,(
% 2.30/1.01 (![X]: (( ordered_pair(first(X),second(X)) = X| first(X) = X ) ))),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f166,negated_conjecture,(
% 2.30/1.01 ~ member(x,universal_class) ),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f167,negated_conjecture,(
% 2.30/1.01 first(ordered_pair(x,y)) != ordered_pair(x,y) ),
% 2.30/1.01 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 2.30/1.01 fof(f185,plain,(
% 2.30/1.01 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 2.30/1.01 inference(miniscoping,[status(thm)],[f14])).
% 2.30/1.01 fof(f186,plain,(
% 2.30/1.01 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f185])).
% 2.30/1.01 fof(f349,plain,(
% 2.30/1.01 ![W,Y]: (((![X,Z]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(W,universal_class))|W=Y)),
% 2.30/1.01 inference(miniscoping,[status(thm)],[f151])).
% 2.30/1.01 fof(f350,plain,(
% 2.30/1.01 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X0,universal_class)|X0=X2)),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f349])).
% 2.30/1.01 fof(f354,plain,(
% 2.30/1.01 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|first(X0)=X0)),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f154])).
% 2.30/1.01 fof(f356,plain,(
% 2.30/1.01 ![X0]: (ordered_pair(first(X0),second(X0))=X0|first(X0)=X0)),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f156])).
% 2.30/1.01 fof(f366,plain,(
% 2.30/1.01 ~member(x,universal_class)),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f166])).
% 2.30/1.01 fof(f367,plain,(
% 2.30/1.01 ~first(ordered_pair(x,y))=ordered_pair(x,y)),
% 2.30/1.01 inference(cnf_transformation,[status(thm)],[f167])).
% 2.30/1.01 fof(f477,plain,(
% 2.30/1.01 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~member(first(ordered_pair(X0,X1)),universal_class)|first(ordered_pair(X0,X1))=X0)),
% 2.30/1.01 inference(resolution,[status(thm)],[f356,f350])).
% 2.30/1.01 fof(f1371,plain,(
% 2.30/1.01 ![X0]: (member(first(X0),universal_class)|first(X0)=X0)),
% 2.30/1.01 inference(resolution,[status(thm)],[f186,f354])).
% 2.30/1.01 fof(f2112,plain,(
% 2.30/1.01 ![X0,X1]: (first(ordered_pair(X0,X1))=ordered_pair(X0,X1)|first(ordered_pair(X0,X1))=X0)),
% 2.30/1.01 inference(backward_subsumption_resolution,[status(thm)],[f477,f1371])).
% 2.30/1.01 fof(f4055,plain,(
% 2.30/1.01 first(ordered_pair(x,y))=x),
% 2.30/1.01 inference(resolution,[status(thm)],[f2112,f367])).
% 2.30/1.01 fof(f4881,plain,(
% 2.30/1.01 ~x=ordered_pair(x,y)),
% 2.30/1.01 inference(backward_demodulation,[status(thm)],[f4055,f367])).
% 2.30/1.01 fof(f4886,plain,(
% 2.30/1.01 member(x,universal_class)|first(ordered_pair(x,y))=ordered_pair(x,y)),
% 2.30/1.01 inference(paramodulation,[status(thm)],[f4055,f1371])).
% 2.30/1.01 fof(f4910,plain,(
% 2.30/1.01 member(x,universal_class)|x=ordered_pair(x,y)),
% 2.30/1.01 inference(forward_demodulation,[status(thm)],[f4055,f4886])).
% 2.30/1.01 fof(f4911,plain,(
% 2.30/1.01 x=ordered_pair(x,y)),
% 2.30/1.01 inference(forward_subsumption_resolution,[status(thm)],[f4910,f366])).
% 2.30/1.01 fof(f4925,plain,(
% 2.30/1.01 $false),
% 2.30/1.01 inference(forward_subsumption_resolution,[status(thm)],[f4911,f4881])).
% 2.30/1.01 % SZS output end CNFRefutation for theBenchmark.p
% 4.35/1.02 % Elapsed time: 0.664734 seconds
% 4.35/1.02 % CPU time: 4.790216 seconds
% 4.35/1.02 % Total memory used: 155.535 MB
% 4.35/1.02 % Net memory used: 148.855 MB
%------------------------------------------------------------------------------