%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET019-4 : 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 : n014.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 0.11s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET019-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.03 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.33 % Computer : n014.cluster.edu
% 0.06/0.33 % Model : x86_64 x86_64
% 0.06/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.33 % Memory : 8046.5625MB
% 0.06/0.33 % OS : Linux 6.8.0-71-generic
% 0.06/0.33 % CPULimit : 300
% 0.06/0.33 % WCLimit : 300
% 0.06/0.33 % DateTime : Mon Sep 21 04:43:04 UTC 2026
% 0.06/0.33 % CPUTime :
% 0.06/0.35 % Drodi V4.1.1
% 0.11/0.40 % Refutation found
% 0.11/0.40 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.40 fof(f3,axiom,(
% 0.11/0.40 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f4,axiom,(
% 0.11/0.40 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f67,axiom,(
% 0.11/0.40 (![X,Y,U]: (( ~ subset(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f142,hypothesis,(
% 0.11/0.40 subset(b,a) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f143,hypothesis,(
% 0.11/0.40 subset(a,b) ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f144,negated_conjecture,(
% 0.11/0.40 a != b ),
% 0.11/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.40 fof(f148,plain,(
% 0.11/0.40 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f3])).
% 0.11/0.40 fof(f149,plain,(
% 0.11/0.40 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f4])).
% 0.11/0.40 fof(f229,plain,(
% 0.11/0.40 ![Y,U]: ((![X]: (~subset(X,Y)|~member(U,X)))|member(U,Y))),
% 0.11/0.40 inference(miniscoping,[status(thm)],[f67])).
% 0.11/0.40 fof(f230,plain,(
% 0.11/0.40 ![X0,X1,X2]: (~subset(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f229])).
% 0.11/0.40 fof(f322,plain,(
% 0.11/0.40 subset(b,a)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f142])).
% 0.11/0.40 fof(f323,plain,(
% 0.11/0.40 subset(a,b)),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f143])).
% 0.11/0.40 fof(f324,plain,(
% 0.11/0.40 ~a=b),
% 0.11/0.40 inference(cnf_transformation,[status(thm)],[f144])).
% 0.11/0.40 fof(f530,plain,(
% 0.11/0.40 ![X0]: (~member(X0,a)|member(X0,b))),
% 0.11/0.40 inference(resolution,[status(thm)],[f230,f323])).
% 0.11/0.40 fof(f531,plain,(
% 0.11/0.40 ![X0]: (~member(X0,b)|member(X0,a))),
% 0.11/0.40 inference(resolution,[status(thm)],[f230,f322])).
% 0.11/0.40 fof(f534,plain,(
% 0.11/0.40 ![X0]: (member(f1(X0,a),b)|member(f1(X0,a),X0)|X0=a)),
% 0.11/0.40 inference(resolution,[status(thm)],[f530,f148])).
% 0.11/0.40 fof(f537,plain,(
% 0.11/0.40 ![X0]: (~member(f1(X0,a),b)|~member(f1(X0,a),X0)|X0=a)),
% 0.11/0.40 inference(resolution,[status(thm)],[f531,f149])).
% 0.11/0.40 fof(f602,plain,(
% 0.11/0.40 ~member(f1(b,a),b)|b=a|b=a),
% 0.11/0.40 inference(resolution,[status(thm)],[f537,f534])).
% 0.11/0.40 fof(f607,plain,(
% 0.11/0.40 ~member(f1(b,a),b)|b=a),
% 0.11/0.40 inference(duplicate_literals_removal,[status(thm)],[f602])).
% 0.11/0.40 fof(f608,plain,(
% 0.11/0.40 ~member(f1(b,a),b)),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f607,f324])).
% 0.11/0.40 fof(f664,plain,(
% 0.11/0.40 b=a),
% 0.11/0.40 inference(resolution,[status(thm)],[f608,f534])).
% 0.11/0.40 fof(f669,plain,(
% 0.11/0.40 $false),
% 0.11/0.40 inference(forward_subsumption_resolution,[status(thm)],[f664,f324])).
% 0.11/0.40 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.42 % Elapsed time: 0.080069 seconds
% 0.11/0.42 % CPU time: 0.308004 seconds
% 0.11/0.42 % Total memory used: 110.458 MB
% 0.11/0.42 % Net memory used: 110.213 MB
%------------------------------------------------------------------------------