%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET204-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n026.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 02:11:46 PM UTC 2026
% Result : Unsatisfiable 0.14s 5.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET204-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/5.38 % Computer : n026.cluster.edu
% 0.10/5.38 % Model : x86_64 x86_64
% 0.10/5.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/5.38 % Memory : 8046.5625MB
% 0.10/5.38 % OS : Linux 6.8.0-71-generic
% 0.10/5.38 % CPULimit : 300
% 0.10/5.38 % WCLimit : 300
% 0.10/5.38 % DateTime : Mon Sep 21 05:03:29 UTC 2026
% 0.10/5.38 % CPUTime :
% 0.10/5.40 % Drodi V4.1.1
% 0.14/5.42 % Refutation found
% 0.14/5.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/5.42 % SZS output start CNFRefutation for theBenchmark
% 0.14/5.42 fof(f14,axiom,(
% 0.14/5.42 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f15,axiom,(
% 0.14/5.42 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(V,Y) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f16,axiom,(
% 0.14/5.42 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f113,negated_conjecture,(
% 0.14/5.42 member(ordered_pair(u,v),cross_product(x,y)) ),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f114,negated_conjecture,(
% 0.14/5.42 ~ member(ordered_pair(v,u),cross_product(y,x)) ),
% 0.14/5.42 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/5.42 fof(f132,plain,(
% 0.14/5.42 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.14/5.42 inference(miniscoping,[status(thm)],[f14])).
% 0.14/5.42 fof(f133,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f132])).
% 0.14/5.42 fof(f134,plain,(
% 0.14/5.42 ![V,Y]: ((![U,X]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(V,Y))),
% 0.14/5.42 inference(miniscoping,[status(thm)],[f15])).
% 0.14/5.42 fof(f135,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X1,X3))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f134])).
% 0.14/5.42 fof(f136,plain,(
% 0.14/5.42 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/5.42 fof(f246,plain,(
% 0.14/5.42 member(ordered_pair(u,v),cross_product(x,y))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/5.42 fof(f247,plain,(
% 0.14/5.42 ~member(ordered_pair(v,u),cross_product(y,x))),
% 0.14/5.42 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/5.42 fof(f252,plain,(
% 0.14/5.42 member(u,x)),
% 0.14/5.42 inference(resolution,[status(thm)],[f133,f246])).
% 0.14/5.42 fof(f253,plain,(
% 0.14/5.42 member(v,y)),
% 0.14/5.42 inference(resolution,[status(thm)],[f135,f246])).
% 0.14/5.42 fof(f254,plain,(
% 0.14/5.42 ![X0,X1]: (~member(X0,X1)|member(ordered_pair(v,X0),cross_product(y,X1)))),
% 0.14/5.42 inference(resolution,[status(thm)],[f136,f253])).
% 0.14/5.42 fof(f258,plain,(
% 0.14/5.42 member(ordered_pair(v,u),cross_product(y,x))),
% 0.14/5.42 inference(resolution,[status(thm)],[f254,f252])).
% 0.14/5.42 fof(f260,plain,(
% 0.14/5.42 $false),
% 0.14/5.42 inference(forward_subsumption_resolution,[status(thm)],[f258,f247])).
% 0.14/5.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/5.44 % Elapsed time: 0.058366 seconds
% 0.14/5.44 % CPU time: 0.158857 seconds
% 0.14/5.44 % Total memory used: 105.452 MB
% 0.14/5.44 % Net memory used: 105.384 MB
%------------------------------------------------------------------------------