%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : SET507-6 : 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 : n009.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 02:12:08 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.54s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SET507-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/5.46 % Computer : n009.cluster.edu
% 0.18/5.46 % Model : x86_64 x86_64
% 0.18/5.46 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/5.46 % Memory : 8046.5625MB
% 0.18/5.46 % OS : Linux 6.8.0-71-generic
% 0.18/5.46 % CPULimit : 300
% 0.18/5.46 % WCLimit : 300
% 0.18/5.46 % DateTime : Mon Sep 21 05:22:48 UTC 2026
% 0.18/5.47 % CPUTime :
% 0.18/5.49 % Drodi V4.1.1
% 0.22/5.54 % Refutation found
% 0.22/5.54 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.22/5.54 % SZS output start CNFRefutation for theBenchmark
% 0.22/5.54 fof(f1,axiom,(
% 0.22/5.54 (![X,Y,U]: (( ~ subclass(X,Y)| ~ member(U,X)| member(U,Y) ) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f4,axiom,(
% 0.22/5.54 (![X]: (subclass(X,universal_class) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f7,axiom,(
% 0.22/5.54 (![X,Y]: (( ~ subclass(X,Y)| ~ subclass(Y,X)| X = Y ) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f11,axiom,(
% 0.22/5.54 (![X,Y]: (member(unordered_pair(X,Y),universal_class) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f12,axiom,(
% 0.22/5.54 (![X]: (unordered_pair(X,X) = singleton(X) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f24,axiom,(
% 0.22/5.54 (![Z,X]: (( ~ member(Z,complement(X))| ~ member(Z,X) ) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f56,axiom,(
% 0.22/5.54 (![U]: (( ~ member(U,universal_class)| member(power_class(U),universal_class) ) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f66,axiom,(
% 0.22/5.54 (![X]: (( X = null_class| member(regular(X),X) ) ))),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f113,negated_conjecture,(
% 0.22/5.54 subclass(universal_class,null_class) ),
% 0.22/5.54 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.22/5.54 fof(f114,plain,(
% 0.22/5.54 ![Y,U]: ((![X]: (~subclass(X,Y)|~member(U,X)))|member(U,Y))),
% 0.22/5.54 inference(miniscoping,[status(thm)],[f1])).
% 0.22/5.54 fof(f115,plain,(
% 0.22/5.54 ![X0,X1,X2]: (~subclass(X0,X1)|~member(X2,X0)|member(X2,X1))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f114])).
% 0.22/5.54 fof(f118,plain,(
% 0.22/5.54 ![X0]: (subclass(X0,universal_class))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f4])).
% 0.22/5.54 fof(f121,plain,(
% 0.22/5.54 ![X0,X1]: (~subclass(X0,X1)|~subclass(X1,X0)|X0=X1)),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f7])).
% 0.22/5.54 fof(f128,plain,(
% 0.22/5.54 ![X0,X1]: (member(unordered_pair(X0,X1),universal_class))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f11])).
% 0.22/5.54 fof(f129,plain,(
% 0.22/5.54 ![X0]: (unordered_pair(X0,X0)=singleton(X0))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f12])).
% 0.22/5.54 fof(f146,plain,(
% 0.22/5.54 ![X0,X1]: (~member(X0,complement(X1))|~member(X0,X1))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f24])).
% 0.22/5.54 fof(f178,plain,(
% 0.22/5.54 ![X0]: (~member(X0,universal_class)|member(power_class(X0),universal_class))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f56])).
% 0.22/5.54 fof(f188,plain,(
% 0.22/5.54 ![X0]: (X0=null_class|member(regular(X0),X0))),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f66])).
% 0.22/5.54 fof(f245,plain,(
% 0.22/5.54 subclass(universal_class,null_class)),
% 0.22/5.54 inference(cnf_transformation,[status(thm)],[f113])).
% 0.22/5.54 fof(f250,plain,(
% 0.22/5.54 ![X0,X1]: (~member(X0,X1)|member(X0,universal_class))),
% 0.22/5.54 inference(resolution,[status(thm)],[f118,f115])).
% 0.22/5.54 fof(f251,plain,(
% 0.22/5.54 ~subclass(null_class,universal_class)|universal_class=null_class),
% 0.22/5.54 inference(resolution,[status(thm)],[f121,f245])).
% 0.22/5.54 fof(f254,definition,(
% 0.22/5.54 sQ0_spl <=> (subclass(null_class,universal_class))),
% 0.22/5.54 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.22/5.54 fof(f256,plain,(
% 0.22/5.54 ~subclass(null_class,universal_class)|sQ0_spl),
% 0.22/5.54 inference(component_clause,[status(thm)],[f254])).
% 0.22/5.54 fof(f257,definition,(
% 0.22/5.54 sQ1_spl <=> (universal_class=null_class)),
% 0.22/5.54 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.22/5.54 fof(f258,plain,(
% 0.22/5.54 universal_class=null_class|~sQ1_spl),
% 0.22/5.54 inference(component_clause,[status(thm)],[f257])).
% 0.22/5.54 fof(f260,plain,(
% 0.22/5.54 ~sQ0_spl|sQ1_spl),
% 0.22/5.54 inference(split_clause,[status(thm)],[f251,f254,f257])).
% 0.22/5.54 fof(f261,plain,(
% 0.22/5.54 $false|sQ0_spl),
% 0.22/5.54 inference(forward_subsumption_resolution,[status(thm)],[f256,f118])).
% 0.22/5.54 fof(f262,plain,(
% 0.22/5.54 sQ0_spl),
% 0.22/5.54 inference(contradiction_clause,[status(thm)],[f261])).
% 0.22/5.54 fof(f286,plain,(
% 0.22/5.54 ![X0]: (member(singleton(X0),universal_class))),
% 0.22/5.54 inference(paramodulation,[status(thm)],[f129,f128])).
% 0.22/5.54 fof(f537,plain,(
% 0.22/5.54 ![X0]: (X0=universal_class|member(regular(X0),X0)|~sQ1_spl)),
% 0.22/5.54 inference(forward_demodulation,[status(thm)],[f258,f188])).
% 0.22/5.54 fof(f545,plain,(
% 0.22/5.54 ![X0]: (X0=universal_class|member(regular(X0),universal_class)|~sQ1_spl)),
% 0.22/5.54 inference(resolution,[status(thm)],[f537,f250])).
% 0.22/5.54 fof(f660,plain,(
% 0.22/5.54 ![X0]: (member(power_class(singleton(X0)),universal_class))),
% 0.22/5.54 inference(resolution,[status(thm)],[f178,f286])).
% 0.22/5.54 fof(f750,plain,(
% 0.22/5.54 ![X0]: (~member(regular(complement(X0)),X0)|complement(X0)=universal_class|~sQ1_spl)),
% 0.22/5.54 inference(resolution,[status(thm)],[f146,f537])).
% 0.22/5.54 fof(f757,plain,(
% 0.22/5.54 complement(universal_class)=universal_class|complement(universal_class)=universal_class|~sQ1_spl),
% 0.22/5.54 inference(resolution,[status(thm)],[f750,f545])).
% 0.22/5.54 fof(f761,definition,(
% 0.22/5.54 sQ22_spl <=> (complement(universal_class)=universal_class)),
% 0.22/5.54 introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition])).
% 0.22/5.54 fof(f762,plain,(
% 0.22/5.54 complement(universal_class)=universal_class|~sQ22_spl),
% 0.22/5.54 inference(component_clause,[status(thm)],[f761])).
% 0.22/5.54 fof(f764,plain,(
% 0.22/5.54 sQ22_spl|~sQ1_spl),
% 0.22/5.54 inference(split_clause,[status(thm)],[f757,f761,f257])).
% 0.22/5.54 fof(f772,plain,(
% 0.22/5.54 ![X0]: (~member(X0,universal_class)|~member(X0,universal_class)|~sQ22_spl)),
% 0.22/5.54 inference(paramodulation,[status(thm)],[f762,f146])).
% 0.22/5.54 fof(f781,plain,(
% 0.22/5.54 ![X0]: (~member(X0,universal_class)|~sQ22_spl)),
% 0.22/5.54 inference(duplicate_literals_removal,[status(thm)],[f772])).
% 0.22/5.54 fof(f784,plain,(
% 0.22/5.54 $false|~sQ22_spl),
% 0.22/5.54 inference(backward_subsumption_resolution,[status(thm)],[f660,f781])).
% 0.22/5.54 fof(f803,plain,(
% 0.22/5.54 ~sQ22_spl),
% 0.22/5.54 inference(contradiction_clause,[status(thm)],[f784])).
% 0.22/5.54 fof(f804,plain,(
% 0.22/5.54 $false),
% 0.22/5.54 inference(sat_refutation,[status(thm)],[f260,f262,f764,f803])).
% 0.22/5.54 % SZS output end CNFRefutation for theBenchmark.p
% 0.22/5.58 % Elapsed time: 0.104641 seconds
% 0.22/5.58 % CPU time: 0.315587 seconds
% 0.22/5.58 % Total memory used: 65.308 MB
% 0.22/5.58 % Net memory used: 65.051 MB
%------------------------------------------------------------------------------