%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET120-7 : 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 : n016.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 5.55s 1.20s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET120-7 : TPTP v9.3.1. Bugfixed v7.3.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n016.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
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 04:59:53 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.39 % Drodi V4.1.1
% 5.55/1.20 % Refutation found
% 5.55/1.20 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 5.55/1.20 % SZS output start CNFRefutation for theBenchmark
% 5.55/1.20 fof(f14,axiom,(
% 5.55/1.20 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f15,axiom,(
% 5.55/1.20 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f151,axiom,(
% 5.55/1.20 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(W,universal_class)| W = Y ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f152,axiom,(
% 5.55/1.20 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(X,universal_class)| X = Z ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f155,axiom,(
% 5.55/1.20 (![X]: (( member(ordered_pair(first(X),second(X)),cross_product(universal_class,universal_class))| second(X) = X ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f157,axiom,(
% 5.55/1.20 (![X]: (( ordered_pair(first(X),second(X)) = X| second(X) = X ) ))),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f166,negated_conjecture,(
% 5.55/1.20 ~ member(x,universal_class) ),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f167,negated_conjecture,(
% 5.55/1.20 second(ordered_pair(x,y)) != ordered_pair(x,y) ),
% 5.55/1.20 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 5.55/1.20 fof(f185,plain,(
% 5.55/1.20 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 5.55/1.20 inference(miniscoping,[status(thm)],[f14])).
% 5.55/1.20 fof(f186,plain,(
% 5.55/1.20 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f185])).
% 5.55/1.20 fof(f187,plain,(
% 5.55/1.20 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 5.55/1.20 inference(miniscoping,[status(thm)],[f15])).
% 5.55/1.20 fof(f188,plain,(
% 5.55/1.20 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f187])).
% 5.55/1.20 fof(f349,plain,(
% 5.55/1.20 ![W,Y]: (((![X,Z]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(W,universal_class))|W=Y)),
% 5.55/1.20 inference(miniscoping,[status(thm)],[f151])).
% 5.55/1.20 fof(f350,plain,(
% 5.55/1.20 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X0,universal_class)|X0=X2)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f349])).
% 5.55/1.20 fof(f351,plain,(
% 5.55/1.20 ![X,Z]: (((![W,Y]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(X,universal_class))|X=Z)),
% 5.55/1.20 inference(miniscoping,[status(thm)],[f152])).
% 5.55/1.20 fof(f352,plain,(
% 5.55/1.20 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X1,universal_class)|X1=X3)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f351])).
% 5.55/1.20 fof(f355,plain,(
% 5.55/1.20 ![X0]: (member(ordered_pair(first(X0),second(X0)),cross_product(universal_class,universal_class))|second(X0)=X0)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f155])).
% 5.55/1.20 fof(f357,plain,(
% 5.55/1.20 ![X0]: (ordered_pair(first(X0),second(X0))=X0|second(X0)=X0)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f157])).
% 5.55/1.20 fof(f366,plain,(
% 5.55/1.20 ~member(x,universal_class)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f166])).
% 5.55/1.20 fof(f367,plain,(
% 5.55/1.20 ~second(ordered_pair(x,y))=ordered_pair(x,y)),
% 5.55/1.20 inference(cnf_transformation,[status(thm)],[f167])).
% 5.55/1.20 fof(f682,plain,(
% 5.55/1.20 ![X0,X1]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~member(second(ordered_pair(X0,X1)),universal_class)|second(ordered_pair(X0,X1))=X1)),
% 5.55/1.20 inference(resolution,[status(thm)],[f357,f352])).
% 5.55/1.20 fof(f683,plain,(
% 5.55/1.20 ![X0,X1]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|~member(first(ordered_pair(X0,X1)),universal_class)|first(ordered_pair(X0,X1))=X0)),
% 5.55/1.20 inference(resolution,[status(thm)],[f357,f350])).
% 5.55/1.20 fof(f1387,plain,(
% 5.55/1.20 ![X0]: (member(first(X0),universal_class)|second(X0)=X0)),
% 5.55/1.20 inference(resolution,[status(thm)],[f186,f355])).
% 5.55/1.20 fof(f1392,plain,(
% 5.55/1.20 ![X0]: (member(second(X0),universal_class)|second(X0)=X0)),
% 5.55/1.20 inference(resolution,[status(thm)],[f188,f355])).
% 5.55/1.20 fof(f2101,plain,(
% 5.55/1.20 ![X0,X1]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|first(ordered_pair(X0,X1))=X0)),
% 5.55/1.20 inference(backward_subsumption_resolution,[status(thm)],[f683,f1387])).
% 5.82/1.21 fof(f2144,plain,(
% 5.82/1.21 ![X0,X1]: (second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|second(ordered_pair(X0,X1))=X1)),
% 5.82/1.21 inference(backward_subsumption_resolution,[status(thm)],[f682,f1392])).
% 5.82/1.21 fof(f4053,plain,(
% 5.82/1.21 ![X0,X1]: (member(X0,universal_class)|second(ordered_pair(X0,X1))=ordered_pair(X0,X1)|second(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 5.82/1.21 inference(paramodulation,[status(thm)],[f2101,f1387])).
% 5.82/1.21 fof(f4073,plain,(
% 5.82/1.21 ![X0,X1]: (member(X0,universal_class)|second(ordered_pair(X0,X1))=ordered_pair(X0,X1))),
% 5.82/1.21 inference(duplicate_literals_removal,[status(thm)],[f4053])).
% 5.82/1.21 fof(f4085,plain,(
% 5.82/1.21 ![X0]: (second(ordered_pair(x,X0))=ordered_pair(x,X0))),
% 5.82/1.21 inference(resolution,[status(thm)],[f4073,f366])).
% 5.82/1.21 fof(f4134,plain,(
% 5.82/1.21 second(ordered_pair(x,y))=y),
% 5.82/1.21 inference(resolution,[status(thm)],[f2144,f367])).
% 5.82/1.21 fof(f4902,plain,(
% 5.82/1.21 ~y=ordered_pair(x,y)),
% 5.82/1.21 inference(backward_demodulation,[status(thm)],[f4134,f367])).
% 5.82/1.21 fof(f4948,plain,(
% 5.82/1.21 ordered_pair(x,y)=y),
% 5.82/1.21 inference(backward_demodulation,[status(thm)],[f4085,f4134])).
% 5.82/1.21 fof(f4972,plain,(
% 5.82/1.21 $false),
% 5.82/1.21 inference(forward_subsumption_resolution,[status(thm)],[f4948,f4902])).
% 5.82/1.21 % SZS output end CNFRefutation for theBenchmark.p
% 5.82/1.24 % Elapsed time: 0.852943 seconds
% 5.82/1.24 % CPU time: 6.382457 seconds
% 5.82/1.24 % Total memory used: 178.571 MB
% 5.82/1.24 % Net memory used: 167.393 MB
%------------------------------------------------------------------------------