%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET075-7 : 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 : n003.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 02:11:27 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.48s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET075-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n003.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 04:52:01 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.47 % Drodi V4.1.1
% 0.19/0.48 % Refutation found
% 0.19/0.48 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.48 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.48 fof(f92,axiom,(
% 0.19/0.48 (![X,Y,U,V]: (( ~ member(ordered_pair(X,Y),cross_product(U,V))| member(X,unordered_pair(X,Y)) ) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f103,axiom,(
% 0.19/0.48 (![Z]: (~ member(Z,null_class) ))),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f116,negated_conjecture,(
% 0.19/0.48 member(ordered_pair(x,y),cross_product(u,v)) ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f117,negated_conjecture,(
% 0.19/0.48 unordered_pair(x,y) = null_class ),
% 0.19/0.48 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.48 fof(f223,plain,(
% 0.19/0.48 ![X,Y]: ((![U,V]: ~member(ordered_pair(X,Y),cross_product(U,V)))|member(X,unordered_pair(X,Y)))),
% 0.19/0.48 inference(miniscoping,[status(thm)],[f92])).
% 0.19/0.48 fof(f224,plain,(
% 0.19/0.48 ![X0,X1,X2,X3]: (~member(ordered_pair(X0,X1),cross_product(X2,X3))|member(X0,unordered_pair(X0,X1)))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f223])).
% 0.19/0.48 fof(f239,plain,(
% 0.19/0.48 ![X0]: (~member(X0,null_class))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f103])).
% 0.19/0.48 fof(f257,plain,(
% 0.19/0.48 member(ordered_pair(x,y),cross_product(u,v))),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f116])).
% 0.19/0.48 fof(f258,plain,(
% 0.19/0.48 unordered_pair(x,y)=null_class),
% 0.19/0.48 inference(cnf_transformation,[status(thm)],[f117])).
% 0.19/0.48 fof(f293,plain,(
% 0.19/0.48 member(x,unordered_pair(x,y))),
% 0.19/0.48 inference(resolution,[status(thm)],[f224,f257])).
% 0.19/0.48 fof(f295,plain,(
% 0.19/0.48 member(x,null_class)),
% 0.19/0.48 inference(forward_demodulation,[status(thm)],[f258,f293])).
% 0.19/0.48 fof(f296,plain,(
% 0.19/0.48 $false),
% 0.19/0.48 inference(forward_subsumption_resolution,[status(thm)],[f295,f239])).
% 0.19/0.48 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.51 % Elapsed time: 0.059809 seconds
% 0.19/0.51 % CPU time: 0.149327 seconds
% 0.19/0.51 % Total memory used: 46.175 MB
% 0.19/0.51 % Net memory used: 46.135 MB
%------------------------------------------------------------------------------