%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM190-1 : 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 : n010.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 01:42:21 PM UTC 2026
% Result : Unsatisfiable 0.16s 0.90s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM190-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.83 % Computer : n010.cluster.edu
% 0.16/0.83 % Model : x86_64 x86_64
% 0.16/0.83 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.83 % Memory : 8046.5625MB
% 0.16/0.83 % OS : Linux 6.8.0-71-generic
% 0.16/0.83 % CPULimit : 300
% 0.16/0.83 % WCLimit : 300
% 0.16/0.83 % DateTime : Mon Sep 21 02:11:27 UTC 2026
% 0.16/0.84 % CPUTime :
% 0.16/0.86 % Drodi V4.1.1
% 0.16/0.90 % Refutation found
% 0.16/0.90 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.90 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.90 fof(f1,axiom,(
% 0.16/0.90 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f4,axiom,(
% 0.16/0.90 (![X]: (subclass(X,universal_class) ))),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f24,axiom,(
% 0.16/0.90 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f47,axiom,(
% 0.16/0.90 (![X]: (( ~ inductive(X)| member(null_class,X) ) ))),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f50,axiom,(
% 0.16/0.90 inductive(omega) ),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f52,axiom,(
% 0.16/0.90 member(omega,universal_class) ),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f66,axiom,(
% 0.16/0.90 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f159,negated_conjecture,(
% 0.16/0.90 omega = null_class ),
% 0.16/0.90 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.16/0.90 fof(f160,plain,(
% 0.16/0.90 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.16/0.90 inference(miniscoping,[status(thm)],[f1])).
% 0.16/0.90 fof(f161,plain,(
% 0.16/0.90 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f160])).
% 0.16/0.90 fof(f164,plain,(
% 0.16/0.90 ![X0]: (subclass(X0,universal_class))),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f4])).
% 0.16/0.90 fof(f192,plain,(
% 0.16/0.90 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f24])).
% 0.16/0.90 fof(f215,plain,(
% 0.16/0.90 ![X0]: (~inductive(X0)|member(null_class,X0))),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f47])).
% 0.16/0.90 fof(f218,plain,(
% 0.16/0.90 inductive(omega)),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f50])).
% 0.16/0.90 fof(f220,plain,(
% 0.16/0.90 member(omega,universal_class)),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f52])).
% 0.16/0.90 fof(f234,plain,(
% 0.16/0.90 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f66])).
% 0.16/0.90 fof(f347,plain,(
% 0.16/0.90 omega=null_class),
% 0.16/0.90 inference(cnf_transformation,[status(thm)],[f159])).
% 0.16/0.90 fof(f355,plain,(
% 0.16/0.90 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.16/0.90 inference(resolution,[status(thm)],[f164,f161])).
% 0.16/0.90 fof(f357,plain,(
% 0.16/0.90 ![X0]: (~inductive(X0)|member(omega,X0))),
% 0.16/0.90 inference(forward_demodulation,[status(thm)],[f347,f215])).
% 0.16/0.90 fof(f358,plain,(
% 0.16/0.90 member(omega,omega)),
% 0.16/0.90 inference(resolution,[status(thm)],[f357,f218])).
% 0.16/0.90 fof(f362,plain,(
% 0.16/0.90 ![X0]: (X0=omega|member(regular(X0),X0))),
% 0.16/0.90 inference(forward_demodulation,[status(thm)],[f347,f234])).
% 0.16/0.90 fof(f464,plain,(
% 0.16/0.90 ![X0]: (member(regular(X0),universal_class)|X0=omega)),
% 0.16/0.90 inference(resolution,[status(thm)],[f355,f362])).
% 0.16/0.90 fof(f480,plain,(
% 0.16/0.90 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=omega)),
% 0.16/0.90 inference(resolution,[status(thm)],[f192,f362])).
% 0.16/0.90 fof(f532,plain,(
% 0.16/0.90 complement(universal_class)=omega|complement(universal_class)=omega),
% 0.16/0.90 inference(resolution,[status(thm)],[f480,f464])).
% 0.16/0.90 fof(f534,definition,(
% 0.16/0.90 sQ12_spl <=> (complement(universal_class)=omega)),
% 0.16/0.90 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.16/0.90 fof(f535,plain,(
% 0.16/0.90 complement(universal_class)=omega|~sQ12_spl),
% 0.16/0.90 inference(component_clause,[status(thm)],[f534])).
% 0.16/0.90 fof(f537,plain,(
% 0.16/0.90 sQ12_spl),
% 0.16/0.90 inference(split_clause,[status(thm)],[f532,f534])).
% 0.16/0.90 fof(f543,plain,(
% 0.16/0.90 ![X0]: (~member(X0,omega)|~member(X0,universal_class)|~sQ12_spl)),
% 0.16/0.90 inference(paramodulation,[status(thm)],[f535,f192])).
% 0.16/0.90 fof(f548,plain,(
% 0.16/0.90 ~member(omega,omega)|~sQ12_spl),
% 0.16/0.90 inference(resolution,[status(thm)],[f543,f220])).
% 0.16/0.90 fof(f554,plain,(
% 0.16/0.90 $false|~sQ12_spl),
% 0.16/0.90 inference(forward_subsumption_resolution,[status(thm)],[f548,f358])).
% 0.16/0.90 fof(f555,plain,(
% 0.16/0.90 ~sQ12_spl),
% 0.16/0.90 inference(contradiction_clause,[status(thm)],[f554])).
% 0.16/0.90 fof(f556,plain,(
% 0.16/0.90 $false),
% 0.16/0.90 inference(sat_refutation,[status(thm)],[f537,f555])).
% 0.16/0.90 % SZS output end CNFRefutation for theBenchmark.p
% 0.21/0.93 % Elapsed time: 0.076942 seconds
% 0.21/0.93 % CPU time: 0.214627 seconds
% 0.21/0.93 % Total memory used: 74.680 MB
% 0.21/0.93 % Net memory used: 74.593 MB
%------------------------------------------------------------------------------