%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET019-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n007.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 02:11:13 PM UTC 2026
% Result : Unsatisfiable 0.08s 0.42s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET019-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n007.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Mon Sep 21 04:41:05 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.08/0.42 % Refutation found
% 0.08/0.42 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.42 % SZS output start CNFRefutation for theBenchmark
% 0.08/0.42 fof(f3,axiom,(
% 0.08/0.42 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f4,axiom,(
% 0.08/0.42 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f67,axiom,(
% 0.08/0.42 (![X,Y,U]: (( ~ subset(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f145,hypothesis,(
% 0.08/0.42 subset(b,a) ),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f146,hypothesis,(
% 0.08/0.42 subset(a,b) ),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f147,negated_conjecture,(
% 0.08/0.42 a != b ),
% 0.08/0.42 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.08/0.42 fof(f151,plain,(
% 0.08/0.42 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f3])).
% 0.08/0.42 fof(f152,plain,(
% 0.08/0.42 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f4])).
% 0.08/0.42 fof(f232,plain,(
% 0.08/0.42 ![Y,U]: ((![X]: (~subset(X,Y)|~member(U,X)))|member(U,Y))),
% 0.08/0.42 inference(miniscoping,[status(thm)],[f67])).
% 0.08/0.42 fof(f233,plain,(
% 0.08/0.42 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f232])).
% 0.08/0.42 fof(f331,plain,(
% 0.08/0.42 subset(b,a)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f145])).
% 0.08/0.42 fof(f332,plain,(
% 0.08/0.42 subset(a,b)),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f146])).
% 0.08/0.42 fof(f333,plain,(
% 0.08/0.42 ~a=b),
% 0.08/0.42 inference(cnf_transformation,[status(thm)],[f147])).
% 0.08/0.42 fof(f539,plain,(
% 0.08/0.42 ![X0]: (~member(X0,a)|member(X0,b))),
% 0.08/0.42 inference(resolution,[status(thm)],[f233,f332])).
% 0.08/0.42 fof(f540,plain,(
% 0.08/0.42 ![X0]: (~member(X0,b)|member(X0,a))),
% 0.08/0.42 inference(resolution,[status(thm)],[f233,f331])).
% 0.08/0.42 fof(f543,plain,(
% 0.08/0.42 ![X0]: (member(f1(X0,a),b)|member(f1(X0,a),X0)|X0=a)),
% 0.08/0.42 inference(resolution,[status(thm)],[f539,f151])).
% 0.08/0.42 fof(f546,plain,(
% 0.08/0.42 ![X0]: (~member(f1(X0,a),b)|~member(f1(X0,a),X0)|X0=a)),
% 0.08/0.42 inference(resolution,[status(thm)],[f540,f152])).
% 0.08/0.42 fof(f611,plain,(
% 0.08/0.42 ~member(f1(b,a),b)|b=a|b=a),
% 0.08/0.42 inference(resolution,[status(thm)],[f546,f543])).
% 0.08/0.42 fof(f616,plain,(
% 0.08/0.42 ~member(f1(b,a),b)|b=a),
% 0.08/0.42 inference(duplicate_literals_removal,[status(thm)],[f611])).
% 0.08/0.42 fof(f617,plain,(
% 0.08/0.42 ~member(f1(b,a),b)),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f616,f333])).
% 0.08/0.42 fof(f673,plain,(
% 0.08/0.42 b=a),
% 0.08/0.42 inference(resolution,[status(thm)],[f617,f543])).
% 0.08/0.42 fof(f678,plain,(
% 0.08/0.42 $false),
% 0.08/0.42 inference(forward_subsumption_resolution,[status(thm)],[f673,f333])).
% 0.08/0.42 % SZS output end CNFRefutation for theBenchmark.p
% 0.08/0.46 % Elapsed time: 0.074213 seconds
% 0.08/0.46 % CPU time: 0.282859 seconds
% 0.08/0.46 % Total memory used: 108.786 MB
% 0.08/0.46 % Net memory used: 108.619 MB
%------------------------------------------------------------------------------