%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET511-6 : 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 : n017.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 02:12:08 PM UTC 2026
% Result : Unsatisfiable 0.14s 10.94s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET511-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/10.38 % Computer : n017.cluster.edu
% 0.12/10.38 % Model : x86_64 x86_64
% 0.12/10.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/10.38 % Memory : 8046.5625MB
% 0.12/10.38 % OS : Linux 6.8.0-71-generic
% 0.12/10.38 % CPULimit : 300
% 0.12/10.38 % WCLimit : 300
% 0.12/10.38 % DateTime : Mon Sep 21 05:17:51 UTC 2026
% 0.12/10.39 % CPUTime :
% 0.14/10.40 % Drodi V4.1.1
% 0.14/10.94 % Refutation found
% 0.14/10.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/10.94 % SZS output start CNFRefutation for theBenchmark
% 0.14/10.94 fof(f1,axiom,(
% 0.14/10.94 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f4,axiom,(
% 0.14/10.94 (![X]: (subclass(X,universal_class) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f8,axiom,(
% 0.14/10.94 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f12,axiom,(
% 0.14/10.94 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f13,axiom,(
% 0.14/10.94 (![X,Y]: (unordered_pair(singleton(X),unordered_pair(X,singleton(Y))) = ordered_pair(X,Y) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f23,axiom,(
% 0.14/10.94 (![Z,X,Y]: (( ~ member(Z,X)| ~ member(Z,Y)| member(Z,intersection(X,Y)) ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f24,axiom,(
% 0.14/10.94 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f66,axiom,(
% 0.14/10.94 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f67,axiom,(
% 0.14/10.94 (![X]: (( X = null_class| intersection(X,regular(X)) = null_class ) ))),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f113,negated_conjecture,(
% 0.14/10.94 unordered_pair(singleton(x),unordered_pair(x,null_class)) != ordered_pair(x,universal_class) ),
% 0.14/10.94 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/10.94 fof(f114,plain,(
% 0.14/10.94 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/10.94 inference(miniscoping,[status(thm)],[f1])).
% 0.14/10.94 fof(f115,plain,(
% 0.14/10.94 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f114])).
% 0.14/10.94 fof(f118,plain,(
% 0.14/10.94 ![X0]: (subclass(X0,universal_class))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/10.94 fof(f122,plain,(
% 0.14/10.94 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.14/10.94 inference(miniscoping,[status(thm)],[f8])).
% 0.14/10.94 fof(f123,plain,(
% 0.14/10.94 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f122])).
% 0.14/10.94 fof(f129,plain,(
% 0.14/10.94 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/10.94 fof(f130,plain,(
% 0.14/10.94 ![X0,X1]: (unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1)))=ordered_pair(X0,X1))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f13])).
% 0.14/10.94 fof(f145,plain,(
% 0.14/10.94 ![X0,X1,X2]: (~member(X0,X1)|~member(X0,X2)|member(X0,intersection(X1,X2)))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f23])).
% 0.14/10.94 fof(f146,plain,(
% 0.14/10.94 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f24])).
% 0.14/10.94 fof(f188,plain,(
% 0.14/10.94 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f66])).
% 0.14/10.94 fof(f189,plain,(
% 0.14/10.94 ![X0]: (X0=null_class|intersection(X0,regular(X0))=null_class)),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f67])).
% 0.14/10.94 fof(f245,plain,(
% 0.14/10.94 ~unordered_pair(singleton(x),unordered_pair(x,null_class))=ordered_pair(x,universal_class)),
% 0.14/10.94 inference(cnf_transformation,[status(thm)],[f113])).
% 0.14/10.94 fof(f254,plain,(
% 0.14/10.94 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1|X0=X1)),
% 0.14/10.94 inference(paramodulation,[status(thm)],[f129,f123])).
% 0.14/10.94 fof(f255,plain,(
% 0.14/10.94 ![X0,X1]: (~member(X0,singleton(X1))|X0=X1)),
% 0.14/10.94 inference(duplicate_literals_removal,[status(thm)],[f254])).
% 0.14/10.94 fof(f304,plain,(
% 0.14/10.94 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.14/10.94 inference(resolution,[status(thm)],[f115,f118])).
% 0.14/10.94 fof(f380,plain,(
% 0.14/10.94 ![X0]: (singleton(X0)=null_class|regular(singleton(X0))=X0)),
% 0.14/10.94 inference(resolution,[status(thm)],[f188,f255])).
% 0.14/10.94 fof(f393,plain,(
% 0.14/10.94 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=null_class)),
% 0.14/10.94 inference(resolution,[status(thm)],[f146,f188])).
% 0.14/10.94 fof(f401,plain,(
% 0.14/10.94 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0))|singleton(X0)=null_class)),
% 0.14/10.94 inference(paramodulation,[status(thm)],[f380,f188])).
% 0.14/10.94 fof(f402,plain,(
% 0.14/10.96 ![X0]: (singleton(X0)=null_class|member(X0,singleton(X0)))),
% 0.14/10.96 inference(duplicate_literals_removal,[status(thm)],[f401])).
% 0.14/10.96 fof(f486,plain,(
% 0.14/10.96 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class|singleton(X0)=null_class)),
% 0.14/10.96 inference(paramodulation,[status(thm)],[f380,f189])).
% 0.14/10.96 fof(f490,plain,(
% 0.14/10.96 ![X0]: (singleton(X0)=null_class|intersection(singleton(X0),X0)=null_class)),
% 0.14/10.96 inference(duplicate_literals_removal,[status(thm)],[f486])).
% 0.14/10.96 fof(f725,plain,(
% 0.14/10.96 ![X0,X1]: (~member(X0,singleton(X1))|~member(X0,X1)|member(X0,null_class)|singleton(X1)=null_class)),
% 0.14/10.96 inference(paramodulation,[status(thm)],[f490,f145])).
% 0.14/10.96 fof(f1123,plain,(
% 0.14/10.96 ![X0]: (complement(universal_class)=null_class|~member(regular(complement(universal_class)),X0))),
% 0.14/10.96 inference(resolution,[status(thm)],[f393,f304])).
% 0.14/10.96 fof(f1627,plain,(
% 0.14/10.96 complement(universal_class)=null_class|complement(universal_class)=null_class),
% 0.14/10.96 inference(resolution,[status(thm)],[f1123,f188])).
% 0.14/10.96 fof(f1664,plain,(
% 0.14/10.96 complement(universal_class)=null_class),
% 0.14/10.96 inference(duplicate_literals_removal,[status(thm)],[f1627])).
% 0.14/10.96 fof(f1701,plain,(
% 0.14/10.96 ![X0]: (~member(X0,null_class)|~member(X0,universal_class))),
% 0.14/10.96 inference(paramodulation,[status(thm)],[f1664,f146])).
% 0.14/10.96 fof(f1706,plain,(
% 0.14/10.96 ![X0,X1]: (~member(X0,singleton(X1))|~member(X0,X1)|singleton(X1)=null_class)),
% 0.14/10.96 inference(backward_subsumption_resolution,[status(thm)],[f725,f1707])).
% 0.14/10.96 fof(f1707,plain,(
% 0.14/10.96 ![X0]: (~member(X0,null_class))),
% 0.14/10.96 inference(forward_subsumption_resolution,[status(thm)],[f1701,f304])).
% 0.14/10.96 fof(f1991,plain,(
% 0.14/10.96 ![X0]: (~member(X0,X0)|singleton(X0)=null_class|singleton(X0)=null_class)),
% 0.14/10.96 inference(resolution,[status(thm)],[f1706,f402])).
% 0.14/10.96 fof(f1996,plain,(
% 0.14/10.96 ![X0]: (~member(X0,X0)|singleton(X0)=null_class)),
% 0.14/10.96 inference(duplicate_literals_removal,[status(thm)],[f1991])).
% 0.14/10.96 fof(f2004,plain,(
% 0.14/10.96 ![X0]: (singleton(universal_class)=null_class|~member(universal_class,X0))),
% 0.14/10.96 inference(resolution,[status(thm)],[f1996,f304])).
% 0.14/10.96 fof(f2013,plain,(
% 0.14/10.96 singleton(universal_class)=null_class|singleton(universal_class)=null_class),
% 0.14/10.96 inference(resolution,[status(thm)],[f2004,f402])).
% 0.14/10.96 fof(f2023,plain,(
% 0.14/10.96 singleton(universal_class)=null_class),
% 0.14/10.96 inference(duplicate_literals_removal,[status(thm)],[f2013])).
% 0.14/10.96 fof(f2125,plain,(
% 0.14/10.96 ![X0]: (unordered_pair(singleton(X0),unordered_pair(X0,null_class))=ordered_pair(X0,universal_class))),
% 0.14/10.96 inference(paramodulation,[status(thm)],[f2023,f130])).
% 0.14/10.96 fof(f2238,plain,(
% 0.14/10.96 ~ordered_pair(x,universal_class)=ordered_pair(x,universal_class)),
% 0.14/10.96 inference(backward_demodulation,[status(thm)],[f2125,f245])).
% 0.14/10.96 fof(f2250,plain,(
% 0.14/10.96 $false),
% 0.14/10.96 inference(trivial_equality_resolution,[status(thm)],[f2238])).
% 0.14/10.96 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/10.98 % Elapsed time: 0.573879 seconds
% 0.14/10.98 % CPU time: 4.328159 seconds
% 0.14/10.98 % Total memory used: 172.463 MB
% 0.14/10.98 % Net memory used: 164.591 MB
%------------------------------------------------------------------------------