%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 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 02:11:16 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET027-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n020.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Mon Sep 21 04:45:48 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.38 % Drodi V4.1.1
% 0.14/0.39 % Refutation found
% 0.14/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.39 fof(f67,axiom,(
% 0.14/0.39 (![X,Y,U]: (( ~ subset(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f68,axiom,(
% 0.14/0.39 (![X,Y]: (( subset(X,Y)| member(f17(X,Y),X) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f69,axiom,(
% 0.14/0.39 (![X,Y]: (( subset(X,Y)| ~ member(f17(X,Y),Y) ) ))),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f153,hypothesis,(
% 0.14/0.39 subset(a,b) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f154,hypothesis,(
% 0.14/0.39 subset(b,c) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f155,negated_conjecture,(
% 0.14/0.39 ~ subset(a,c) ),
% 0.14/0.39 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 ![Y,U]: ((![X]: (~subset(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/0.39 inference(miniscoping,[status(thm)],[f67])).
% 0.14/0.39 fof(f241,plain,(
% 0.14/0.39 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f240])).
% 0.14/0.39 fof(f242,plain,(
% 0.14/0.39 ![X0,X1]: (subset(X0,X1)|member(f17(X0,X1),X0))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f68])).
% 0.14/0.39 fof(f243,plain,(
% 0.14/0.39 ![X0,X1]: (subset(X0,X1)|~member(f17(X0,X1),X1))),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f69])).
% 0.14/0.39 fof(f347,plain,(
% 0.14/0.39 subset(a,b)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f153])).
% 0.14/0.39 fof(f348,plain,(
% 0.14/0.39 subset(b,c)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f154])).
% 0.14/0.39 fof(f349,plain,(
% 0.14/0.39 ~subset(a,c)),
% 0.14/0.39 inference(cnf_transformation,[status(thm)],[f155])).
% 0.14/0.39 fof(f365,plain,(
% 0.14/0.39 ![X0]: (~member(X0,a)|member(X0,b))),
% 0.14/0.39 inference(resolution,[status(thm)],[f347,f241])).
% 0.14/0.39 fof(f367,plain,(
% 0.14/0.39 ![X0]: (~member(X0,b)|member(X0,c))),
% 0.14/0.39 inference(resolution,[status(thm)],[f348,f241])).
% 0.14/0.39 fof(f614,plain,(
% 0.14/0.39 ![X0]: (subset(X0,c)|~member(f17(X0,c),b))),
% 0.14/0.39 inference(resolution,[status(thm)],[f243,f367])).
% 0.14/0.39 fof(f620,plain,(
% 0.14/0.39 ![X0]: (subset(X0,c)|~member(f17(X0,c),a))),
% 0.14/0.39 inference(resolution,[status(thm)],[f614,f365])).
% 0.14/0.39 fof(f624,plain,(
% 0.14/0.39 subset(a,c)|subset(a,c)),
% 0.14/0.39 inference(resolution,[status(thm)],[f620,f242])).
% 0.14/0.39 fof(f625,plain,(
% 0.14/0.39 subset(a,c)),
% 0.14/0.39 inference(duplicate_literals_removal,[status(thm)],[f624])).
% 0.14/0.39 fof(f626,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f625,f349])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.42 % Elapsed time: 0.051339 seconds
% 0.14/0.42 % CPU time: 0.137362 seconds
% 0.14/0.42 % Total memory used: 34.512 MB
% 0.14/0.42 % Net memory used: 34.425 MB
%------------------------------------------------------------------------------