%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET104-7 : 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 : n020.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 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET104-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.35 % Computer : n020.cluster.edu
% 0.11/0.35 % Model : x86_64 x86_64
% 0.11/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.35 % Memory : 8046.5625MB
% 0.11/0.35 % OS : Linux 6.8.0-71-generic
% 0.11/0.35 % CPULimit : 300
% 0.11/0.35 % WCLimit : 300
% 0.11/0.35 % DateTime : Mon Sep 21 04:54:02 UTC 2026
% 0.14/0.36 % CPUTime :
% 0.14/0.37 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f13,axiom,(
% 0.14/0.40 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f108,axiom,(
% 0.14/0.40 (![X,Y]: (unordered_pair(X,Y) = unordered_pair(Y,X) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f111,axiom,(
% 0.14/0.40 (![Y,X]: (( member(Y,universal_class)| unordered_pair(X,Y) = singleton(X) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f113,axiom,(
% 0.14/0.40 (![X,Y]: (( unordered_pair(X,Y) = null_class| member(X,universal_class)| member(Y,universal_class) ) ))),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f148,negated_conjecture,(
% 0.14/0.40 unordered_pair(null_class,singleton(singleton(y))) != ordered_pair(x,y) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f149,negated_conjecture,(
% 0.14/0.40 ~ member(x,universal_class) ),
% 0.14/0.40 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f166,plain,(
% 0.14/0.40 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/0.40 fof(f276,plain,(
% 0.14/0.40 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.14/0.40 fof(f279,plain,(
% 0.14/0.40 ![Y]: (member(Y,universal_class)|(![X]: unordered_pair(X,Y)=singleton(X)))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f111])).
% 0.14/0.40 fof(f280,plain,(
% 0.14/0.40 ![X0,X1]: (member(X0,universal_class)|unordered_pair(X1,X0)=singleton(X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f279])).
% 0.14/0.40 fof(f283,plain,(
% 0.14/0.40 ![Y]: ((![X]: (unordered_pair(X,Y)=null_class|member(X,universal_class)))|member(Y,universal_class))),
% 0.14/0.40 inference(miniscoping,[status(thm)],[f113])).
% 0.14/0.40 fof(f284,plain,(
% 0.14/0.40 ![X0,X1]: (unordered_pair(X0,X1)=null_class|member(X0,universal_class)|member(X1,universal_class))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f283])).
% 0.14/0.40 fof(f325,plain,(
% 0.14/0.40 ~unordered_pair(null_class,singleton(singleton(y)))=ordered_pair(x,y)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f148])).
% 0.14/0.40 fof(f326,plain,(
% 0.14/0.40 ~member(x,universal_class)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f149])).
% 0.14/0.40 fof(f393,plain,(
% 0.14/0.40 ![X0]: (unordered_pair(X0,x)=singleton(X0))),
% 0.14/0.40 inference(resolution,[status(thm)],[f280,f326])).
% 0.14/0.40 fof(f397,plain,(
% 0.14/0.40 ![X0]: (unordered_pair(x,X0)=singleton(X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f276,f393])).
% 0.14/0.40 fof(f412,plain,(
% 0.14/0.40 ![X0]: (unordered_pair(singleton(x),singleton(singleton(X0)))=ordered_pair(x,X0))),
% 0.14/0.40 inference(paramodulation,[status(thm)],[f397,f166])).
% 0.14/0.40 fof(f439,plain,(
% 0.14/0.40 unordered_pair(x,x)=null_class),
% 0.14/0.40 inference(resolution,[status(thm)],[f284,f326])).
% 0.14/0.40 fof(f454,plain,(
% 0.14/0.40 ![X0]: (unordered_pair(null_class,singleton(singleton(X0)))=ordered_pair(x,X0))),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f456,f412])).
% 0.14/0.40 fof(f456,plain,(
% 0.14/0.40 singleton(x)=null_class),
% 0.14/0.40 inference(forward_demodulation,[status(thm)],[f397,f439])).
% 0.14/0.40 fof(f463,plain,(
% 0.14/0.40 ~ordered_pair(x,y)=ordered_pair(x,y)),
% 0.14/0.40 inference(backward_demodulation,[status(thm)],[f454,f325])).
% 0.14/0.40 fof(f464,plain,(
% 0.14/0.40 $false),
% 0.14/0.40 inference(trivial_equality_resolution,[status(thm)],[f463])).
% 0.14/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.089934 seconds
% 0.14/0.45 % CPU time: 0.242976 seconds
% 0.14/0.45 % Total memory used: 44.775 MB
% 0.14/0.45 % Net memory used: 44.611 MB
%------------------------------------------------------------------------------