%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET105-7 : 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 : n008.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 02:11:34 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.46s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SET105-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.40 % Computer : n008.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 300
% 0.13/0.41 % DateTime : Mon Sep 21 04:54:08 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.43 % Drodi V4.1.1
% 0.13/0.46 % Refutation found
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.46 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.46 fof(f12,axiom,(
% 0.13/0.46 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f13,axiom,(
% 0.13/0.46 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f111,axiom,(
% 0.13/0.46 (![Y,X]: (( member(Y,universal_class)| unordered_pair(X,Y) = singleton(X) ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f112,axiom,(
% 0.13/0.46 (![X,Y]: (( member(X,universal_class)| unordered_pair(X,Y) = singleton(Y) ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f113,axiom,(
% 0.13/0.46 (![X,Y]: (( unordered_pair(X,Y) = null_class| member(X,universal_class)| member(Y,universal_class) ) ))),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f148,negated_conjecture,(
% 0.13/0.46 unordered_pair(null_class,singleton(null_class)) != ordered_pair(x,y) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f149,negated_conjecture,(
% 0.13/0.46 ~ member(x,universal_class) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f150,negated_conjecture,(
% 0.13/0.46 ~ member(y,universal_class) ),
% 0.13/0.46 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.46 fof(f166,plain,(
% 0.13/0.46 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f12])).
% 0.13/0.46 fof(f167,plain,(
% 0.13/0.46 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f13])).
% 0.13/0.46 fof(f280,plain,(
% 0.13/0.46 ![Y]: (member(Y,universal_class)|(![X]: unordered_pair(X,Y)=singleton(X)))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f111])).
% 0.13/0.46 fof(f281,plain,(
% 0.13/0.46 ![X0,X1]: (member(X0,universal_class)|unordered_pair(X1,X0)=singleton(X1))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f280])).
% 0.13/0.46 fof(f282,plain,(
% 0.13/0.46 ![X]: (member(X,universal_class)|(![Y]: unordered_pair(X,Y)=singleton(Y)))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f112])).
% 0.13/0.46 fof(f283,plain,(
% 0.13/0.46 ![X0,X1]: (member(X0,universal_class)|unordered_pair(X0,X1)=singleton(X1))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f282])).
% 0.13/0.46 fof(f284,plain,(
% 0.13/0.46 ![Y]: ((![X]: (unordered_pair(X,Y)=null_class|member(X,universal_class)))|member(Y,universal_class))),
% 0.13/0.46 inference(miniscoping,[status(thm)],[f113])).
% 0.13/0.46 fof(f285,plain,(
% 0.13/0.46 ![X0,X1]: (unordered_pair(X0,X1)=null_class|member(X0,universal_class)|member(X1,universal_class))),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f284])).
% 0.13/0.46 fof(f326,plain,(
% 0.13/0.46 ~unordered_pair(null_class,singleton(null_class))=ordered_pair(x,y)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f148])).
% 0.13/0.46 fof(f327,plain,(
% 0.13/0.46 ~member(x,universal_class)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f149])).
% 0.13/0.46 fof(f328,plain,(
% 0.13/0.46 ~member(y,universal_class)),
% 0.13/0.46 inference(cnf_transformation,[status(thm)],[f150])).
% 0.13/0.46 fof(f388,plain,(
% 0.13/0.46 ![X0]: (unordered_pair(X0,y)=singleton(X0))),
% 0.13/0.46 inference(resolution,[status(thm)],[f281,f328])).
% 0.13/0.46 fof(f408,plain,(
% 0.13/0.46 ![X0]: (unordered_pair(x,X0)=singleton(X0))),
% 0.13/0.46 inference(resolution,[status(thm)],[f283,f327])).
% 0.13/0.46 fof(f413,plain,(
% 0.13/0.46 unordered_pair(y,y)=null_class),
% 0.13/0.46 inference(resolution,[status(thm)],[f285,f328])).
% 0.13/0.46 fof(f415,plain,(
% 0.13/0.46 unordered_pair(x,x)=null_class),
% 0.13/0.46 inference(resolution,[status(thm)],[f285,f327])).
% 0.13/0.46 fof(f427,plain,(
% 0.13/0.46 singleton(y)=null_class),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f388,f413])).
% 0.13/0.46 fof(f428,plain,(
% 0.13/0.46 singleton(x)=null_class),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f166,f415])).
% 0.13/0.46 fof(f449,plain,(
% 0.13/0.46 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,y))),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f427,f167])).
% 0.13/0.46 fof(f840,plain,(
% 0.13/0.46 unordered_pair(null_class,unordered_pair(x,null_class))=ordered_pair(x,y)),
% 0.13/0.46 inference(paramodulation,[status(thm)],[f428,f449])).
% 0.13/0.46 fof(f858,plain,(
% 0.13/0.46 unordered_pair(null_class,singleton(null_class))=ordered_pair(x,y)),
% 0.13/0.46 inference(forward_demodulation,[status(thm)],[f408,f840])).
% 0.13/0.46 fof(f859,plain,(
% 0.13/0.46 $false),
% 0.13/0.46 inference(forward_subsumption_resolution,[status(thm)],[f858,f326])).
% 0.13/0.46 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.50 % Elapsed time: 0.083528 seconds
% 0.13/0.50 % CPU time: 0.270410 seconds
% 0.13/0.50 % Total memory used: 62.395 MB
% 0.13/0.50 % Net memory used: 62.160 MB
%------------------------------------------------------------------------------