%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET078-7 : 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 : n012.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 02:11:28 PM UTC 2026
% Result : Unsatisfiable 0.12s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET078-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n012.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:49:36 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.12/0.36 % Drodi V4.1.1
% 0.12/0.40 % Refutation found
% 0.12/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.40 fof(f9,axiom,(
% 0.12/0.40 (![X,Y]: (( ~ member(X,universal_class)| member(X,unordered_pair(X,Y)) ) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f108,axiom,(
% 0.12/0.40 (![X,Y]: (unordered_pair(X,Y) = unordered_pair(Y,X) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f120,axiom,(
% 0.12/0.40 (![X]: (member(singleton(X),universal_class) ))),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f121,negated_conjecture,(
% 0.12/0.40 ~ member(singleton(y),unordered_pair(x,singleton(y))) ),
% 0.12/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.40 fof(f132,plain,(
% 0.12/0.40 ![X]: (~member(X,universal_class)|(![Y]: member(X,unordered_pair(X,Y))))),
% 0.12/0.40 inference(miniscoping,[status(thm)],[f9])).
% 0.12/0.40 fof(f133,plain,(
% 0.12/0.40 ![X0,X1]: (~member(X0,universal_class)|member(X0,unordered_pair(X0,X1)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f132])).
% 0.12/0.40 fof(f248,plain,(
% 0.12/0.40 ![X0,X1]: (unordered_pair(X0,X1)=unordered_pair(X1,X0))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f108])).
% 0.12/0.40 fof(f268,plain,(
% 0.12/0.40 ![X0]: (member(singleton(X0),universal_class))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f120])).
% 0.12/0.40 fof(f269,plain,(
% 0.12/0.40 ~member(singleton(y),unordered_pair(x,singleton(y)))),
% 0.12/0.40 inference(cnf_transformation,[status(thm)],[f121])).
% 0.12/0.40 fof(f291,plain,(
% 0.12/0.40 ![X0,X1]: (member(singleton(X0),unordered_pair(singleton(X0),X1)))),
% 0.12/0.40 inference(resolution,[status(thm)],[f133,f268])).
% 0.12/0.40 fof(f293,plain,(
% 0.12/0.40 ![X0,X1]: (member(singleton(X0),unordered_pair(X1,singleton(X0))))),
% 0.12/0.40 inference(paramodulation,[status(thm)],[f248,f291])).
% 0.12/0.40 fof(f298,plain,(
% 0.12/0.40 $false),
% 0.12/0.40 inference(backward_subsumption_resolution,[status(thm)],[f269,f293])).
% 0.12/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.12/0.42 % Elapsed time: 0.070130 seconds
% 0.12/0.42 % CPU time: 0.107843 seconds
% 0.12/0.42 % Total memory used: 105.589 MB
% 0.12/0.42 % Net memory used: 105.528 MB
%------------------------------------------------------------------------------