%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET020-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n013.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 02:11:14 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET020-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n013.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 04:42:51 UTC 2026
% 0.09/0.35 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.40 fof(f14,axiom,(
% 0.13/0.40 (![U,V,X,Y]: (( ~ member(ordered_pair(U,V),cross_product(X,Y))| member(U,X) ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f17,axiom,(
% 0.13/0.40 (![Z,X,Y]: (( ~ member(Z,cross_product(X,Y))| ordered_pair(first(Z),second(Z)) = Z ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f151,axiom,(
% 0.13/0.40 (![W,X,Y,Z]: (( ordered_pair(W,X) != ordered_pair(Y,Z)| ~ member(W,universal_class)| W = Y ) ))),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f158,negated_conjecture,(
% 0.13/0.40 member(ordered_pair(u,v),cross_product(universal_class,universal_class)) ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f159,negated_conjecture,(
% 0.13/0.40 first(ordered_pair(u,v)) != u ),
% 0.13/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.40 fof(f177,plain,(
% 0.13/0.40 ![U,X]: ((![V,Y]: ~member(ordered_pair(U,V),cross_product(X,Y)))|member(U,X))),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f14])).
% 0.13/0.40 fof(f178,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,X2))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f177])).
% 0.13/0.40 fof(f182,plain,(
% 0.13/0.40 ![Z]: ((![X,Y]: ~member(Z,cross_product(X,Y)))|ordered_pair(first(Z),second(Z))=Z)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f17])).
% 0.13/0.40 fof(f183,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~member(X0,cross_product(X1,X2))|ordered_pair(first(X0),second(X0))=X0)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f182])).
% 0.13/0.40 fof(f341,plain,(
% 0.13/0.40 ![W,Y]: (((![X,Z]: ~ordered_pair(W,X)=ordered_pair(Y,Z))|~member(W,universal_class))|W=Y)),
% 0.13/0.40 inference(miniscoping,[status(thm)],[f151])).
% 0.13/0.40 fof(f342,plain,(
% 0.13/0.40 ![X0,X1,X2,X3]: (~ordered_pair(X0,X1)=ordered_pair(X2,X3)|~member(X0,universal_class)|X0=X2)),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f341])).
% 0.13/0.40 fof(f350,plain,(
% 0.13/0.40 member(ordered_pair(u,v),cross_product(universal_class,universal_class))),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f158])).
% 0.13/0.40 fof(f351,plain,(
% 0.13/0.40 ~first(ordered_pair(u,v))=u),
% 0.13/0.40 inference(cnf_transformation,[status(thm)],[f159])).
% 0.13/0.40 fof(f355,plain,(
% 0.13/0.40 member(u,universal_class)),
% 0.13/0.40 inference(resolution,[status(thm)],[f178,f350])).
% 0.13/0.40 fof(f372,plain,(
% 0.13/0.40 ![X0,X1,X2]: (~ordered_pair(u,X0)=ordered_pair(X1,X2)|u=X1)),
% 0.13/0.40 inference(resolution,[status(thm)],[f342,f355])).
% 0.13/0.40 fof(f404,plain,(
% 0.13/0.40 ordered_pair(first(ordered_pair(u,v)),second(ordered_pair(u,v)))=ordered_pair(u,v)),
% 0.13/0.40 inference(resolution,[status(thm)],[f183,f350])).
% 0.13/0.40 fof(f407,plain,(
% 0.13/0.40 u=first(ordered_pair(u,v))),
% 0.13/0.40 inference(resolution,[status(thm)],[f404,f372])).
% 0.13/0.40 fof(f418,plain,(
% 0.13/0.40 $false),
% 0.13/0.40 inference(forward_subsumption_resolution,[status(thm)],[f407,f351])).
% 0.13/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.062880 seconds
% 0.13/0.42 % CPU time: 0.161262 seconds
% 0.13/0.42 % Total memory used: 77.579 MB
% 0.13/0.42 % Net memory used: 77.458 MB
%------------------------------------------------------------------------------