%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET012-1 : 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 : n019.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 02:11:09 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.43s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET012-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.36 % Computer : n019.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 04:41:50 UTC 2026
% 0.09/0.36 % CPUTime :
% 0.09/0.37 % Drodi V4.1.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.43 fof(f3,axiom,(
% 0.14/0.43 (![Subset,Superset]: (( subset(Subset,Superset)| member(member_of_1_not_of_2(Subset,Superset),Subset) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f4,axiom,(
% 0.14/0.43 (![Subset,Superset]: (( ~ member(member_of_1_not_of_2(Subset,Superset),Superset)| subset(Subset,Superset) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f5,axiom,(
% 0.14/0.43 (![X,Xs]: (( member(X,Xs)| member(X,complement(Xs)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f6,axiom,(
% 0.14/0.43 (![X,Xs]: (( ~ member(X,Xs)| ~ member(X,complement(Xs)) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f15,axiom,(
% 0.14/0.43 (![Set1,Set2]: (( ~ subset(Set1,Set2)| ~ subset(Set2,Set1)| equal_sets(Set2,Set1) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f17,axiom,(
% 0.14/0.43 (![Xs,Ys]: (( ~ equal_sets(Xs,Ys)| equal_sets(Ys,Xs) ) ))),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f22,negated_conjecture,(
% 0.14/0.43 ~ equal_sets(complement(complement(a)),a) ),
% 0.14/0.43 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.43 fof(f26,plain,(
% 0.14/0.43 ![X0,X1]: (subset(X0,X1)|member(member_of_1_not_of_2(X0,X1),X0))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f3])).
% 0.14/0.43 fof(f27,plain,(
% 0.14/0.43 ![X0,X1]: (~member(member_of_1_not_of_2(X0,X1),X1)|subset(X0,X1))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.43 fof(f28,plain,(
% 0.14/0.43 ![X0,X1]: (member(X0,X1)|member(X0,complement(X1)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.43 fof(f29,plain,(
% 0.14/0.43 ![X0,X1]: (~member(X0,X1)|~member(X0,complement(X1)))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f6])).
% 0.14/0.43 fof(f43,plain,(
% 0.14/0.43 ![X0,X1]: (~subset(X0,X1)|~subset(X1,X0)|equal_sets(X1,X0))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f15])).
% 0.14/0.43 fof(f45,plain,(
% 0.14/0.43 ![X0,X1]: (~equal_sets(X0,X1)|equal_sets(X1,X0))),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.43 fof(f52,plain,(
% 0.14/0.43 ~equal_sets(complement(complement(a)),a)),
% 0.14/0.43 inference(cnf_transformation,[status(thm)],[f22])).
% 0.14/0.43 fof(f53,plain,(
% 0.14/0.43 ~equal_sets(a,complement(complement(a)))),
% 0.14/0.43 inference(resolution,[status(thm)],[f45,f52])).
% 0.14/0.43 fof(f61,plain,(
% 0.14/0.43 ![X0,X1]: (subset(complement(X0),X1)|~member(member_of_1_not_of_2(complement(X0),X1),X0))),
% 0.14/0.43 inference(resolution,[status(thm)],[f26,f29])).
% 0.14/0.43 fof(f64,plain,(
% 0.14/0.43 ![X0,X1]: (subset(X0,complement(X1))|member(member_of_1_not_of_2(X0,complement(X1)),X1))),
% 0.14/0.43 inference(resolution,[status(thm)],[f27,f28])).
% 0.14/0.43 fof(f76,plain,(
% 0.14/0.43 ![X0,X1]: (subset(complement(complement(X0)),X1)|member(member_of_1_not_of_2(complement(complement(X0)),X1),X0))),
% 0.14/0.43 inference(resolution,[status(thm)],[f61,f28])).
% 0.14/0.43 fof(f101,plain,(
% 0.14/0.43 ![X0,X1]: (subset(X0,complement(complement(X1)))|~member(member_of_1_not_of_2(X0,complement(complement(X1))),X1))),
% 0.14/0.43 inference(resolution,[status(thm)],[f64,f29])).
% 0.14/0.43 fof(f256,plain,(
% 0.14/0.43 ![X0]: (subset(complement(complement(X0)),X0)|subset(complement(complement(X0)),X0))),
% 0.14/0.43 inference(resolution,[status(thm)],[f76,f27])).
% 0.14/0.43 fof(f267,plain,(
% 0.14/0.43 ![X0]: (subset(complement(complement(X0)),X0))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f256])).
% 0.14/0.43 fof(f432,plain,(
% 0.14/0.43 ![X0]: (subset(X0,complement(complement(X0)))|subset(X0,complement(complement(X0))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f101,f26])).
% 0.14/0.43 fof(f453,plain,(
% 0.14/0.43 ![X0]: (subset(X0,complement(complement(X0))))),
% 0.14/0.43 inference(duplicate_literals_removal,[status(thm)],[f432])).
% 0.14/0.43 fof(f468,plain,(
% 0.14/0.43 ![X0]: (~subset(complement(complement(X0)),X0)|equal_sets(X0,complement(complement(X0))))),
% 0.14/0.43 inference(resolution,[status(thm)],[f453,f43])).
% 0.14/0.43 fof(f469,plain,(
% 0.14/0.43 ![X0]: (equal_sets(X0,complement(complement(X0))))),
% 0.14/0.43 inference(forward_subsumption_resolution,[status(thm)],[f468,f267])).
% 0.14/0.43 fof(f471,plain,(
% 0.14/0.43 $false),
% 0.14/0.43 inference(backward_subsumption_resolution,[status(thm)],[f53,f469])).
% 0.14/0.43 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.45 % Elapsed time: 0.080698 seconds
% 0.14/0.45 % CPU time: 0.458855 seconds
% 0.14/0.45 % Total memory used: 21.725 MB
% 0.14/0.45 % Net memory used: 20.651 MB
%------------------------------------------------------------------------------