%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM066-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n018.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 01:42:13 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.74s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM066-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.37 % Computer : n018.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 21 02:04:45 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.14/0.40 % Drodi V4.1.1
% 0.14/0.74 % Refutation found
% 0.14/0.74 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.74 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.74 fof(f1,axiom,(
% 0.14/0.74 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f4,axiom,(
% 0.14/0.74 (![X]: (subclass(X,universal_class) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f5,axiom,(
% 0.14/0.74 (![X,Y]: (( X != Y| subclass(X,Y) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f16,axiom,(
% 0.14/0.74 (![U,X,V,Y]: (( ~ member(U,X)| ~ member(V,Y)| member(ordered_pair(U,V),cross_product(X,Y)) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f20,axiom,(
% 0.14/0.74 (![X,Y]: (( ~ member(ordered_pair(X,Y),cross_product(universal_class,universal_class))| ~ member(X,Y)| member(ordered_pair(X,Y),element_relation) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f124,axiom,(
% 0.14/0.74 (![Xr,Y,U]: (( ~ well_ordering(Xr,Y)| ~ subclass(U,Y)| U = null_class| member(least(Xr,U),U) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f125,axiom,(
% 0.14/0.74 (![Xr,Y,U,V]: (( ~ well_ordering(Xr,Y)| ~ subclass(U,Y)| ~ member(V,U)| member(least(Xr,U),U) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f127,axiom,(
% 0.14/0.74 (![Xr,Y,U,V]: (( ~ well_ordering(Xr,Y)| ~ subclass(U,Y)| ~ member(V,U)| ~ member(ordered_pair(V,least(Xr,U)),Xr) ) ))),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f159,negated_conjecture,(
% 0.14/0.74 well_ordering(element_relation,y) ),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f160,negated_conjecture,(
% 0.14/0.74 subclass(u,y) ),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f161,negated_conjecture,(
% 0.14/0.74 member(v,u) ),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f162,negated_conjecture,(
% 0.14/0.74 member(v,least(element_relation,u)) ),
% 0.14/0.74 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.74 fof(f163,plain,(
% 0.14/0.74 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.14/0.74 inference(miniscoping,[status(thm)],[f1])).
% 0.14/0.74 fof(f164,plain,(
% 0.14/0.74 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f163])).
% 0.14/0.74 fof(f167,plain,(
% 0.14/0.74 ![X0]: (subclass(X0,universal_class))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f4])).
% 0.14/0.74 fof(f168,plain,(
% 0.14/0.74 ![X0,X1]: (~X0=X1|subclass(X0,X1))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f5])).
% 0.14/0.74 fof(f184,plain,(
% 0.14/0.74 ![X0,X1,X2,X3]: (~member(X0,X1)|~member(X2,X3)|member(ordered_pair(X0,X2),cross_product(X1,X3)))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f16])).
% 0.14/0.74 fof(f189,plain,(
% 0.14/0.74 ![X0,X1]: (~member(ordered_pair(X0,X1),cross_product(universal_class,universal_class))|~member(X0,X1)|member(ordered_pair(X0,X1),element_relation))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f20])).
% 0.14/0.74 fof(f305,plain,(
% 0.14/0.74 ![Xr,U]: (((![Y]: (~well_ordering(Xr,Y)|~subclass(U,Y)))|U=null_class)|member(least(Xr,U),U))),
% 0.14/0.74 inference(miniscoping,[status(thm)],[f124])).
% 0.14/0.74 fof(f306,plain,(
% 0.14/0.74 ![X0,X1,X2]: (~well_ordering(X0,X1)|~subclass(X2,X1)|X2=null_class|member(least(X0,X2),X2))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f305])).
% 0.14/0.74 fof(f307,plain,(
% 0.14/0.74 ![Xr,U]: (((![Y]: (~well_ordering(Xr,Y)|~subclass(U,Y)))|(![V]: ~member(V,U)))|member(least(Xr,U),U))),
% 0.14/0.74 inference(miniscoping,[status(thm)],[f125])).
% 0.14/0.74 fof(f308,plain,(
% 0.14/0.74 ![X0,X1,X2,X3]: (~well_ordering(X0,X1)|~subclass(X2,X1)|~member(X3,X2)|member(least(X0,X2),X2))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f307])).
% 0.14/0.74 fof(f311,plain,(
% 0.14/0.74 ![Xr,U,V]: (((![Y]: (~well_ordering(Xr,Y)|~subclass(U,Y)))|~member(V,U))|~member(ordered_pair(V,least(Xr,U)),Xr))),
% 0.14/0.74 inference(miniscoping,[status(thm)],[f127])).
% 0.14/0.74 fof(f312,plain,(
% 0.14/0.74 ![X0,X1,X2,X3]: (~well_ordering(X0,X1)|~subclass(X2,X1)|~member(X3,X2)|~member(ordered_pair(X3,least(X0,X2)),X0))),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f311])).
% 0.14/0.74 fof(f350,plain,(
% 0.14/0.74 well_ordering(element_relation,y)),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f159])).
% 0.14/0.74 fof(f351,plain,(
% 0.14/0.74 subclass(u,y)),
% 0.14/0.74 inference(cnf_transformation,[status(thm)],[f160])).
% 0.14/0.75 fof(f352,plain,(
% 0.14/0.75 member(v,u)),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f161])).
% 0.14/0.75 fof(f353,plain,(
% 0.14/0.75 member(v,least(element_relation,u))),
% 0.14/0.75 inference(cnf_transformation,[status(thm)],[f162])).
% 0.14/0.75 fof(f354,plain,(
% 0.14/0.75 ![X0]: (subclass(X0,X0))),
% 0.14/0.75 inference(destructive_equality_resolution,[status(thm)],[f168])).
% 0.14/0.75 fof(f381,plain,(
% 0.14/0.75 ![X0,X1]: (~subclass(X0,y)|~member(X1,X0)|member(least(element_relation,X0),X0))),
% 0.14/0.75 inference(resolution,[status(thm)],[f308,f350])).
% 0.14/0.75 fof(f383,plain,(
% 0.14/0.75 ![X0]: (~subclass(X0,y)|X0=null_class|member(least(element_relation,X0),X0))),
% 0.14/0.75 inference(resolution,[status(thm)],[f306,f350])).
% 0.14/0.75 fof(f402,plain,(
% 0.14/0.75 u=null_class|member(least(element_relation,u),u)),
% 0.14/0.75 inference(resolution,[status(thm)],[f383,f351])).
% 0.14/0.75 fof(f404,plain,(
% 0.14/0.75 ![X0]: (~member(X0,u)|member(least(element_relation,u),u))),
% 0.14/0.75 inference(resolution,[status(thm)],[f381,f351])).
% 0.14/0.75 fof(f409,plain,(
% 0.14/0.75 ![X0,X1,X2,X3,X4]: (~well_ordering(X0,X1)|~subclass(X2,X1)|~member(X3,X2)|~subclass(X4,X0)|~member(ordered_pair(X3,least(X0,X2)),X4))),
% 0.14/0.75 inference(resolution,[status(thm)],[f312,f164])).
% 0.14/0.75 fof(f432,plain,(
% 0.14/0.75 ![X0,X1]: (~member(X0,universal_class)|~member(X1,universal_class)|~member(X0,X1)|member(ordered_pair(X0,X1),element_relation))),
% 0.14/0.75 inference(resolution,[status(thm)],[f184,f189])).
% 0.14/0.75 fof(f455,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~subclass(X0,y)|~member(X1,X0)|~subclass(X2,element_relation)|~member(ordered_pair(X1,least(element_relation,X0)),X2))),
% 0.14/0.75 inference(resolution,[status(thm)],[f409,f350])).
% 0.14/0.75 fof(f479,plain,(
% 0.14/0.75 ![X0,X1]: (~subclass(X0,y)|~member(X1,X0)|~member(ordered_pair(X1,least(element_relation,X0)),element_relation))),
% 0.14/0.75 inference(resolution,[status(thm)],[f455,f354])).
% 0.14/0.75 fof(f531,plain,(
% 0.14/0.75 ![X0,X1]: (~member(X0,universal_class)|~member(least(element_relation,X1),universal_class)|~member(X0,least(element_relation,X1))|~subclass(X1,y)|~member(X0,X1))),
% 0.14/0.75 inference(resolution,[status(thm)],[f432,f479])).
% 0.14/0.75 fof(f552,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~member(X0,universal_class)|~member(X0,least(element_relation,X1))|~subclass(X1,y)|~member(X0,X1)|~subclass(X2,universal_class)|~member(least(element_relation,X1),X2))),
% 0.14/0.75 inference(resolution,[status(thm)],[f531,f164])).
% 0.14/0.75 fof(f553,plain,(
% 0.14/0.75 ![X0,X1,X2]: (~member(X0,universal_class)|~member(X0,least(element_relation,X1))|~subclass(X1,y)|~member(X0,X1)|~member(least(element_relation,X1),X2))),
% 0.14/0.75 inference(forward_subsumption_resolution,[status(thm)],[f552,f167])).
% 0.14/0.75 fof(f554,plain,(
% 0.14/0.75 ![X0,X1]: (~member(X0,universal_class)|~member(X0,least(element_relation,u))|~member(X0,u)|~member(least(element_relation,u),X1))),
% 0.14/0.75 inference(resolution,[status(thm)],[f553,f351])).
% 0.14/0.75 fof(f558,plain,(
% 0.14/0.75 ![X0]: (~member(v,universal_class)|~member(v,u)|~member(least(element_relation,u),X0))),
% 0.14/0.75 inference(resolution,[status(thm)],[f554,f353])).
% 0.14/0.75 fof(f560,plain,(
% 0.14/0.75 ![X0]: (~member(v,universal_class)|~member(least(element_relation,u),X0))),
% 0.14/0.75 inference(forward_subsumption_resolution,[status(thm)],[f558,f352])).
% 0.14/0.75 fof(f566,plain,(
% 0.14/0.75 ![X0,X1]: (~member(least(element_relation,u),X0)|~subclass(X1,universal_class)|~member(v,X1))),
% 0.14/0.75 inference(resolution,[status(thm)],[f560,f164])).
% 0.14/0.75 fof(f567,plain,(
% 0.14/0.75 ![X0,X1]: (~member(least(element_relation,u),X0)|~member(v,X1))),
% 0.14/0.75 inference(forward_subsumption_resolution,[status(thm)],[f566,f167])).
% 0.14/0.75 fof(f595,plain,(
% 0.14/0.75 ![X0,X1]: (~member(v,X0)|~member(X1,u))),
% 0.14/0.75 inference(resolution,[status(thm)],[f567,f404])).
% 0.14/0.75 fof(f596,plain,(
% 0.14/0.75 ![X0]: (~member(v,X0)|u=null_class)),
% 0.14/0.75 inference(resolution,[status(thm)],[f567,f402])).
% 0.14/0.75 fof(f604,plain,(
% 0.14/0.75 u=null_class),
% 0.14/0.75 inference(resolution,[status(thm)],[f596,f353])).
% 0.14/0.75 fof(f622,plain,(
% 0.14/0.75 member(v,null_class)),
% 0.14/0.75 inference(backward_demodulation,[status(thm)],[f604,f352])).
% 0.14/0.75 fof(f624,plain,(
% 0.14/0.75 ![X0,X1]: (~member(v,X0)|~member(X1,null_class))),
% 0.14/0.75 inference(backward_demodulation,[status(thm)],[f604,f595])).
% 0.14/0.75 fof(f670,plain,(
% 0.14/0.75 ![X0]: (~member(v,X0))),
% 0.14/0.75 inference(resolution,[status(thm)],[f624,f622])).
% 0.14/0.75 fof(f676,plain,(
% 0.14/0.75 $false),
% 0.14/0.75 inference(backward_subsumption_resolution,[status(thm)],[f622,f670])).
% 0.14/0.75 % SZS output end CNFRefutation for theBenchmark.p
% 0.67/0.76 % Elapsed time: 0.371785 seconds
% 0.67/0.76 % CPU time: 2.546509 seconds
% 0.67/0.76 % Total memory used: 135.317 MB
% 0.67/0.76 % Net memory used: 131.561 MB
%------------------------------------------------------------------------------