%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET076-7 : 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 : n015.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 02:11:27 PM UTC 2026
% Result : Unsatisfiable 0.15s 0.41s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET076-7 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.36 % Computer : n015.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Mon Sep 21 04:53:21 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.15/0.38 % Drodi V4.1.1
% 0.15/0.41 % Refutation found
% 0.15/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.41 % SZS output start CNFRefutation for theBenchmark
% 0.15/0.41 fof(f1,axiom,(
% 0.15/0.41 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f2,axiom,(
% 0.15/0.41 (![X,Y]: (( member(not_subclass_element(X,Y),X)| subclass(X,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f3,axiom,(
% 0.15/0.41 (![X,Y]: (( ~ member(not_subclass_element(X,Y),Y)| subclass(X,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f5,axiom,(
% 0.15/0.41 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f8,axiom,(
% 0.15/0.41 (![U,X,Y]: (( ~ member(U,unordered_pair(X,Y))| U = X| U = Y ) ))),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f119,negated_conjecture,(
% 0.15/0.41 member(x,z) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f120,negated_conjecture,(
% 0.15/0.41 member(y,z) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f121,negated_conjecture,(
% 0.15/0.41 ~ subclass(unordered_pair(x,y),z) ),
% 0.15/0.41 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.15/0.41 fof(f122,plain,(
% 0.15/0.41 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f1])).
% 0.15/0.41 fof(f123,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f122])).
% 0.15/0.41 fof(f124,plain,(
% 0.15/0.41 ![X0,X1]: (member(not_subclass_element(X0,X1),X0)|subclass(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f2])).
% 0.15/0.41 fof(f125,plain,(
% 0.15/0.41 ![X0,X1]: (~member(not_subclass_element(X0,X1),X1)|subclass(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f3])).
% 0.15/0.41 fof(f127,plain,(
% 0.15/0.41 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f5])).
% 0.15/0.41 fof(f130,plain,(
% 0.15/0.41 ![U,Y]: ((![X]: (~member(U,unordered_pair(X,Y))|U=X))|U=Y)),
% 0.15/0.41 inference(miniscoping,[status(thm)],[f8])).
% 0.15/0.41 fof(f131,plain,(
% 0.15/0.41 ![X0,X1,X2]: (~member(X0,unordered_pair(X1,X2))|X0=X1|X0=X2)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f130])).
% 0.15/0.41 fof(f267,plain,(
% 0.15/0.41 member(x,z)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f119])).
% 0.15/0.41 fof(f268,plain,(
% 0.15/0.41 member(y,z)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f120])).
% 0.15/0.41 fof(f269,plain,(
% 0.15/0.41 ~subclass(unordered_pair(x,y),z)),
% 0.15/0.41 inference(cnf_transformation,[status(thm)],[f121])).
% 0.15/0.41 fof(f270,plain,(
% 0.15/0.41 ![X0]: (subclass(X0,X0))),
% 0.15/0.41 inference(destructive_equality_resolution,[status(thm)],[f127])).
% 0.15/0.41 fof(f276,plain,(
% 0.15/0.41 ![X0,X1,X2]: (subclass(unordered_pair(X0,X1),X2)|not_subclass_element(unordered_pair(X0,X1),X2)=X0|not_subclass_element(unordered_pair(X0,X1),X2)=X1)),
% 0.15/0.41 inference(resolution,[status(thm)],[f124,f131])).
% 0.15/0.41 fof(f278,plain,(
% 0.15/0.41 ![X0,X1,X2]: (subclass(X0,X1)|~subclass(X2,X1)|~member(not_subclass_element(X0,X1),X2))),
% 0.15/0.41 inference(resolution,[status(thm)],[f125,f123])).
% 0.15/0.41 fof(f343,plain,(
% 0.15/0.41 not_subclass_element(unordered_pair(x,y),z)=x|not_subclass_element(unordered_pair(x,y),z)=y),
% 0.15/0.41 inference(resolution,[status(thm)],[f276,f269])).
% 0.15/0.41 fof(f356,plain,(
% 0.15/0.41 ~member(y,z)|subclass(unordered_pair(x,y),z)|not_subclass_element(unordered_pair(x,y),z)=x),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f343,f125])).
% 0.15/0.41 fof(f359,plain,(
% 0.15/0.41 subclass(unordered_pair(x,y),z)|not_subclass_element(unordered_pair(x,y),z)=x),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f356,f268])).
% 0.15/0.41 fof(f391,plain,(
% 0.15/0.41 not_subclass_element(unordered_pair(x,y),z)=x),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f359,f269])).
% 0.15/0.41 fof(f392,plain,(
% 0.15/0.41 ![X0]: (subclass(unordered_pair(x,y),z)|~subclass(X0,z)|~member(x,X0))),
% 0.15/0.41 inference(paramodulation,[status(thm)],[f391,f278])).
% 0.15/0.41 fof(f395,plain,(
% 0.15/0.41 ![X0]: (~subclass(X0,z)|~member(x,X0))),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f392,f269])).
% 0.15/0.41 fof(f463,plain,(
% 0.15/0.41 ~member(x,z)),
% 0.15/0.41 inference(resolution,[status(thm)],[f395,f270])).
% 0.15/0.41 fof(f464,plain,(
% 0.15/0.41 $false),
% 0.15/0.41 inference(forward_subsumption_resolution,[status(thm)],[f463,f267])).
% 0.15/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.15/0.43 % Elapsed time: 0.059465 seconds
% 0.15/0.43 % CPU time: 0.190385 seconds
% 0.15/0.43 % Total memory used: 77.135 MB
% 0.15/0.43 % Net memory used: 76.954 MB
%------------------------------------------------------------------------------