%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET103-7 : 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 : 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 02:11:34 PM UTC 2026
% Result : Unsatisfiable 0.19s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET103-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.47 % Computer : n026.cluster.edu
% 0.15/0.47 % Model : x86_64 x86_64
% 0.15/0.47 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.47 % Memory : 8046.5625MB
% 0.15/0.47 % OS : Linux 6.8.0-71-generic
% 0.15/0.47 % CPULimit : 300
% 0.15/0.47 % WCLimit : 300
% 0.15/0.47 % DateTime : Mon Sep 21 04:55:36 UTC 2026
% 0.15/0.47 % CPUTime :
% 0.15/0.50 % Drodi V4.1.1
% 0.19/0.56 % Refutation found
% 0.19/0.56 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.19/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.56 fof(f13,axiom,(
% 0.19/0.56 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f112,axiom,(
% 0.19/0.56 (![X,Y]: (( member(X,universal_class)| unordered_pair(X,Y) = singleton(Y) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f113,axiom,(
% 0.19/0.56 (![X,Y]: (( unordered_pair(X,Y) = null_class| member(X,universal_class)| member(Y,universal_class) ) ))),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f148,negated_conjecture,(
% 0.19/0.56 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,y) ),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f149,negated_conjecture,(
% 0.19/0.56 ~ member(y,universal_class) ),
% 0.19/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.19/0.56 fof(f166,plain,(
% 0.19/0.56 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.56 fof(f281,plain,(
% 0.19/0.56 ![X]: (member(X,universal_class)|(![Y]: unordered_pair(X,Y)=singleton(Y)))),
% 0.19/0.56 inference(miniscoping,[status(thm)],[f112])).
% 0.19/0.56 fof(f282,plain,(
% 0.19/0.56 ![X0,X1]: (member(X0,universal_class)|unordered_pair(X0,X1)=singleton(X1))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f281])).
% 0.19/0.56 fof(f283,plain,(
% 0.19/0.56 ![Y]: ((![X]: (unordered_pair(X,Y)=null_class|member(X,universal_class)))|member(Y,universal_class))),
% 0.19/0.56 inference(miniscoping,[status(thm)],[f113])).
% 0.19/0.56 fof(f284,plain,(
% 0.19/0.56 ![X0,X1]: (unordered_pair(X0,X1)=null_class|member(X0,universal_class)|member(X1,universal_class))),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f283])).
% 0.19/0.56 fof(f325,plain,(
% 0.19/0.56 ~unordered_pair(singleton(x),unordered_pair(x,null_class))=ordered_pair(x,y)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f148])).
% 0.19/0.56 fof(f326,plain,(
% 0.19/0.56 ~member(y,universal_class)),
% 0.19/0.56 inference(cnf_transformation,[status(thm)],[f149])).
% 0.19/0.56 fof(f417,plain,(
% 0.19/0.56 ![X0]: (unordered_pair(y,X0)=singleton(X0))),
% 0.19/0.56 inference(resolution,[status(thm)],[f282,f326])).
% 0.19/0.56 fof(f477,plain,(
% 0.19/0.56 unordered_pair(y,y)=null_class),
% 0.19/0.56 inference(resolution,[status(thm)],[f284,f326])).
% 0.19/0.56 fof(f498,plain,(
% 0.19/0.56 singleton(y)=null_class),
% 0.19/0.56 inference(forward_demodulation,[status(thm)],[f417,f477])).
% 0.19/0.56 fof(f509,plain,(
% 0.19/0.56 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,y))),
% 0.19/0.56 inference(paramodulation,[status(thm)],[f498,f166])).
% 0.19/0.56 fof(f515,plain,(
% 0.19/0.56 ~ordered_pair(x,y)=ordered_pair(x,y)),
% 0.19/0.56 inference(backward_demodulation,[status(thm)],[f509,f325])).
% 0.19/0.56 fof(f518,plain,(
% 0.19/0.56 $false),
% 0.19/0.56 inference(trivial_equality_resolution,[status(thm)],[f515])).
% 0.19/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.58 % Elapsed time: 0.094631 seconds
% 0.19/0.58 % CPU time: 0.306674 seconds
% 0.19/0.58 % Total memory used: 65.753 MB
% 0.19/0.58 % Net memory used: 65.516 MB
%------------------------------------------------------------------------------