%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET012-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 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 02:11:10 PM UTC 2026
% Result : Unsatisfiable 0.13s 0.39s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET012-4 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.35 % Computer : n017.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8046.5625MB
% 0.09/0.35 % OS : Linux 6.8.0-71-generic
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Sep 21 04:36:57 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.13/0.37 % Drodi V4.1.1
% 0.13/0.39 % Refutation found
% 0.13/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.39 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.39 fof(f2,axiom,(
% 0.13/0.39 (![X,Y]: (( little_set(f1(X,Y))| X = Y ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f3,axiom,(
% 0.13/0.39 (![X,Y]: (( member(f1(X,Y),X)| member(f1(X,Y),Y)| X = Y ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f4,axiom,(
% 0.13/0.39 (![X,Y]: (( ~ member(f1(X,Y),X)| ~ member(f1(X,Y),Y)| X = Y ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f5,axiom,(
% 0.13/0.39 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f6,axiom,(
% 0.13/0.39 (![Z,X]: (( member(Z,complement(X))| ~ little_set(Z)| member(Z,X) ) ))),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f9,hypothesis,(
% 0.13/0.39 complement(as) = bs ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f10,hypothesis,(
% 0.13/0.39 complement(bs) = cs ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f11,negated_conjecture,(
% 0.13/0.39 as != cs ),
% 0.13/0.39 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.39 fof(f14,plain,(
% 0.13/0.39 ![X0,X1]: (little_set(f1(X0,X1))|X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f2])).
% 0.13/0.39 fof(f15,plain,(
% 0.13/0.39 ![X0,X1]: (member(f1(X0,X1),X0)|member(f1(X0,X1),X1)|X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f3])).
% 0.13/0.39 fof(f16,plain,(
% 0.13/0.39 ![X0,X1]: (~member(f1(X0,X1),X0)|~member(f1(X0,X1),X1)|X0=X1)),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f4])).
% 0.13/0.39 fof(f17,plain,(
% 0.13/0.39 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f5])).
% 0.13/0.39 fof(f18,plain,(
% 0.13/0.39 ![X0,X1]: (member(X0,complement(X1))|~little_set(X0)|member(X0,X1))),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f6])).
% 0.13/0.39 fof(f21,plain,(
% 0.13/0.39 complement(as)=bs),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f9])).
% 0.13/0.39 fof(f22,plain,(
% 0.13/0.39 complement(bs)=cs),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f10])).
% 0.13/0.39 fof(f23,plain,(
% 0.13/0.39 ~as=cs),
% 0.13/0.39 inference(cnf_transformation,[status(thm)],[f11])).
% 0.13/0.39 fof(f37,plain,(
% 0.13/0.39 ![X0,X1]: (~member(f1(X0,X1),complement(X0))|member(f1(X0,X1),X1)|X0=X1)),
% 0.13/0.39 inference(resolution,[status(thm)],[f17,f15])).
% 0.13/0.39 fof(f48,plain,(
% 0.13/0.39 ![X0,X1,X2]: (member(f1(X0,X1),complement(X2))|member(f1(X0,X1),X2)|X0=X1)),
% 0.13/0.39 inference(resolution,[status(thm)],[f18,f14])).
% 0.13/0.39 fof(f62,plain,(
% 0.13/0.39 ![X0]: (~member(f1(as,X0),bs)|member(f1(as,X0),X0)|as=X0)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f21,f37])).
% 0.13/0.39 fof(f70,plain,(
% 0.13/0.39 ![X0,X1]: (member(f1(X0,X1),cs)|member(f1(X0,X1),bs)|X0=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f22,f48])).
% 0.13/0.39 fof(f71,plain,(
% 0.13/0.39 ![X0,X1]: (member(f1(X0,X1),bs)|member(f1(X0,X1),as)|X0=X1)),
% 0.13/0.39 inference(paramodulation,[status(thm)],[f21,f48])).
% 0.13/0.39 fof(f84,plain,(
% 0.13/0.39 ![X0]: (member(f1(X0,cs),bs)|X0=cs|~member(f1(X0,cs),X0)|X0=cs)),
% 0.13/0.39 inference(resolution,[status(thm)],[f70,f16])).
% 0.13/0.39 fof(f88,plain,(
% 0.13/0.39 ![X0]: (member(f1(X0,cs),bs)|X0=cs|~member(f1(X0,cs),X0))),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f84])).
% 0.13/0.39 fof(f101,plain,(
% 0.13/0.39 ![X0,X1]: (member(f1(X0,X1),as)|X0=X1|~member(f1(X0,X1),complement(bs)))),
% 0.13/0.39 inference(resolution,[status(thm)],[f71,f17])).
% 0.13/0.39 fof(f106,plain,(
% 0.13/0.39 ![X0,X1]: (member(f1(X0,X1),as)|X0=X1|~member(f1(X0,X1),cs))),
% 0.13/0.39 inference(forward_demodulation,[status(thm)],[f22,f101])).
% 0.13/0.39 fof(f115,plain,(
% 0.13/0.39 as=cs|~member(f1(as,cs),as)|member(f1(as,cs),cs)|as=cs),
% 0.13/0.39 inference(resolution,[status(thm)],[f88,f62])).
% 0.13/0.39 fof(f118,plain,(
% 0.13/0.39 as=cs|~member(f1(as,cs),as)|member(f1(as,cs),cs)),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f115])).
% 0.13/0.39 fof(f119,plain,(
% 0.13/0.39 ~member(f1(as,cs),as)|member(f1(as,cs),cs)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f118,f23])).
% 0.13/0.39 fof(f226,plain,(
% 0.13/0.39 member(f1(as,cs),cs)|member(f1(as,cs),cs)|as=cs),
% 0.13/0.39 inference(resolution,[status(thm)],[f119,f15])).
% 0.13/0.39 fof(f227,plain,(
% 0.13/0.39 member(f1(as,cs),cs)|as=cs),
% 0.13/0.39 inference(duplicate_literals_removal,[status(thm)],[f226])).
% 0.13/0.39 fof(f228,plain,(
% 0.13/0.39 member(f1(as,cs),cs)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f227,f23])).
% 0.13/0.39 fof(f229,plain,(
% 0.13/0.39 ~member(f1(as,cs),as)|as=cs),
% 0.13/0.39 inference(resolution,[status(thm)],[f228,f16])).
% 0.13/0.39 fof(f232,plain,(
% 0.13/0.39 ~member(f1(as,cs),as)),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f229,f23])).
% 0.13/0.39 fof(f242,plain,(
% 0.13/0.39 member(f1(as,cs),as)|as=cs),
% 0.13/0.39 inference(resolution,[status(thm)],[f106,f228])).
% 0.13/0.39 fof(f251,plain,(
% 0.13/0.39 as=cs),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f242,f232])).
% 0.13/0.39 fof(f262,plain,(
% 0.13/0.39 $false),
% 0.13/0.39 inference(forward_subsumption_resolution,[status(thm)],[f251,f23])).
% 0.13/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.42 % Elapsed time: 0.053429 seconds
% 0.13/0.42 % CPU time: 0.161806 seconds
% 0.13/0.42 % Total memory used: 101.832 MB
% 0.13/0.42 % Net memory used: 101.359 MB
%------------------------------------------------------------------------------