%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n011.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 01:58:09 PM UTC 2026
% Result : Theorem 0.19s 0.47s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PHI012+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n011.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 03:30:10 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 0.19/0.47 % Refutation found
% 0.19/0.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.19/0.47 % SZS output start CNFRefutation for theBenchmark
% 0.19/0.47 fof(f1,axiom,(
% 0.19/0.47 (! [X] :( object(X)=> ( exemplifies_property(none_greater,X)<=> ( exemplifies_property(conceivable,X)& ~ (? [Y] :( object(Y)& exemplifies_relation(greater_than,Y,X)& exemplifies_property(conceivable,Y) ) )) ) ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f2,axiom,(
% 0.19/0.47 (! [X,Y] :( ( object(X)& object(Y) )=> ( exemplifies_relation(greater_than,X,Y)| exemplifies_relation(greater_than,Y,X)| X = Y ) ) )),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f3,conjecture,(
% 0.19/0.47 ( (? [X] :( object(X)& exemplifies_property(none_greater,X) ))=> (? [X] :( object(X)& exemplifies_property(none_greater,X)& (! [Y] :( object(Y)=> ( exemplifies_property(none_greater,Y)=> Y = X ) ) )) )) ),
% 0.19/0.47 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.19/0.47 fof(f4,negated_conjecture,(
% 0.19/0.47 ~(( (? [X] :( object(X)& exemplifies_property(none_greater,X) ))=> (? [X] :( object(X)& exemplifies_property(none_greater,X)& (! [Y] :( object(Y)=> ( exemplifies_property(none_greater,Y)=> Y = X ) ) )) )) )),
% 0.19/0.47 inference(negated_conjecture,[status(cth)],[f3])).
% 0.19/0.47 fof(f5,plain,(
% 0.19/0.47 ![X]: (~object(X)|(exemplifies_property(none_greater,X)<=>(exemplifies_property(conceivable,X)&(![Y]: ((~object(Y)|~exemplifies_relation(greater_than,Y,X))|~exemplifies_property(conceivable,Y))))))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.19/0.47 fof(f6,plain,(
% 0.19/0.47 ![X]: (~object(X)|((~exemplifies_property(none_greater,X)|(exemplifies_property(conceivable,X)&(![Y]: ((~object(Y)|~exemplifies_relation(greater_than,Y,X))|~exemplifies_property(conceivable,Y)))))&(exemplifies_property(none_greater,X)|(~exemplifies_property(conceivable,X)|(?[Y]: ((object(Y)&exemplifies_relation(greater_than,Y,X))&exemplifies_property(conceivable,Y)))))))),
% 0.19/0.47 inference(NNF_transformation,[status(thm)],[f5])).
% 0.19/0.47 fof(f7,plain,(
% 0.19/0.47 ![X]: (~object(X)|((~exemplifies_property(none_greater,X)|(exemplifies_property(conceivable,X)&(![Y]: ((~object(Y)|~exemplifies_relation(greater_than,Y,X))|~exemplifies_property(conceivable,Y)))))&(exemplifies_property(none_greater,X)|(~exemplifies_property(conceivable,X)|((object(sK0_skl(X))&exemplifies_relation(greater_than,sK0_skl(X),X))&exemplifies_property(conceivable,sK0_skl(X)))))))),
% 0.19/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(Y,sK0_skl(X))],[f6])).
% 0.19/0.47 fof(f8,plain,(
% 0.19/0.47 ![X0]: (~object(X0)|~exemplifies_property(none_greater,X0)|exemplifies_property(conceivable,X0))),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.47 fof(f9,plain,(
% 0.19/0.47 ![X0,X1]: (~object(X0)|~exemplifies_property(none_greater,X0)|~object(X1)|~exemplifies_relation(greater_than,X1,X0)|~exemplifies_property(conceivable,X1))),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f7])).
% 0.19/0.47 fof(f13,plain,(
% 0.19/0.47 ![X,Y]: ((~object(X)|~object(Y))|((exemplifies_relation(greater_than,X,Y)|exemplifies_relation(greater_than,Y,X))|X=Y))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(thm)],[f2])).
% 0.19/0.47 fof(f14,plain,(
% 0.19/0.47 ![X0,X1]: (~object(X0)|~object(X1)|exemplifies_relation(greater_than,X0,X1)|exemplifies_relation(greater_than,X1,X0)|X0=X1)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f13])).
% 0.19/0.47 fof(f15,plain,(
% 0.19/0.47 ((?[X]: (object(X)&exemplifies_property(none_greater,X)))&(![X]: ((~object(X)|~exemplifies_property(none_greater,X))|(?[Y]: (object(Y)&(exemplifies_property(none_greater,Y)&~Y=X))))))),
% 0.19/0.47 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.19/0.47 fof(f16,plain,(
% 0.19/0.47 (object(sK1_skl)&exemplifies_property(none_greater,sK1_skl))&(![X]: ((~object(X)|~exemplifies_property(none_greater,X))|(object(sK2_skl(X))&(exemplifies_property(none_greater,sK2_skl(X))&~sK2_skl(X)=X))))),
% 0.19/0.47 inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl,sK2_skl]),skolemize(X,sK1_skl),skolemize(Y,sK2_skl(X))],[f15])).
% 0.19/0.47 fof(f17,plain,(
% 0.19/0.47 object(sK1_skl)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.47 fof(f18,plain,(
% 0.19/0.47 exemplifies_property(none_greater,sK1_skl)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.47 fof(f19,plain,(
% 0.19/0.47 ![X0]: (~object(X0)|~exemplifies_property(none_greater,X0)|object(sK2_skl(X0)))),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.47 fof(f20,plain,(
% 0.19/0.47 ![X0]: (~object(X0)|~exemplifies_property(none_greater,X0)|exemplifies_property(none_greater,sK2_skl(X0)))),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.47 fof(f21,plain,(
% 0.19/0.47 ![X0]: (~object(X0)|~exemplifies_property(none_greater,X0)|~sK2_skl(X0)=X0)),
% 0.19/0.47 inference(cnf_transformation,[status(thm)],[f16])).
% 0.19/0.47 fof(f22,plain,(
% 0.19/0.47 ~object(sK1_skl)|object(sK2_skl(sK1_skl))),
% 0.19/0.47 inference(resolution,[status(thm)],[f19,f18])).
% 0.19/0.47 fof(f23,definition,(
% 0.19/0.47 sQ0_spl <=> (object(sK1_skl))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f25,plain,(
% 0.19/0.47 ~object(sK1_skl)|sQ0_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f23])).
% 0.19/0.47 fof(f26,definition,(
% 0.19/0.47 sQ1_spl <=> (object(sK2_skl(sK1_skl)))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f27,plain,(
% 0.19/0.47 object(sK2_skl(sK1_skl))|~sQ1_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f26])).
% 0.19/0.47 fof(f29,plain,(
% 0.19/0.47 ~sQ0_spl|sQ1_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f22,f23,f26])).
% 0.19/0.47 fof(f30,plain,(
% 0.19/0.47 $false|sQ0_spl),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f25,f17])).
% 0.19/0.47 fof(f31,plain,(
% 0.19/0.47 sQ0_spl),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f30])).
% 0.19/0.47 fof(f32,plain,(
% 0.19/0.47 ~object(sK1_skl)|~sK2_skl(sK1_skl)=sK1_skl),
% 0.19/0.47 inference(resolution,[status(thm)],[f21,f18])).
% 0.19/0.47 fof(f33,definition,(
% 0.19/0.47 sQ2_spl <=> (sK2_skl(sK1_skl)=sK1_skl)),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f36,plain,(
% 0.19/0.47 ~sQ0_spl|~sQ2_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f32,f23,f33])).
% 0.19/0.47 fof(f37,plain,(
% 0.19/0.47 ~object(sK1_skl)|exemplifies_property(none_greater,sK2_skl(sK1_skl))),
% 0.19/0.47 inference(resolution,[status(thm)],[f20,f18])).
% 0.19/0.47 fof(f38,definition,(
% 0.19/0.47 sQ3_spl <=> (exemplifies_property(none_greater,sK2_skl(sK1_skl)))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f39,plain,(
% 0.19/0.47 exemplifies_property(none_greater,sK2_skl(sK1_skl))|~sQ3_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f38])).
% 0.19/0.47 fof(f41,plain,(
% 0.19/0.47 ~sQ0_spl|sQ3_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f37,f23,f38])).
% 0.19/0.47 fof(f73,plain,(
% 0.19/0.47 ~object(sK2_skl(sK1_skl))|exemplifies_property(conceivable,sK2_skl(sK1_skl))|~sQ3_spl),
% 0.19/0.47 inference(resolution,[status(thm)],[f8,f39])).
% 0.19/0.47 fof(f74,plain,(
% 0.19/0.47 ~object(sK1_skl)|exemplifies_property(conceivable,sK1_skl)),
% 0.19/0.47 inference(resolution,[status(thm)],[f8,f18])).
% 0.19/0.47 fof(f79,definition,(
% 0.19/0.47 sQ11_spl <=> (exemplifies_property(conceivable,sK2_skl(sK1_skl)))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f82,plain,(
% 0.19/0.47 ~sQ1_spl|sQ11_spl|~sQ3_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f73,f26,f79,f38])).
% 0.19/0.47 fof(f83,definition,(
% 0.19/0.47 sQ12_spl <=> (exemplifies_property(conceivable,sK1_skl))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f86,plain,(
% 0.19/0.47 ~sQ0_spl|sQ12_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f74,f23,f83])).
% 0.19/0.47 fof(f90,plain,(
% 0.19/0.47 ![X0]: (~object(X0)|exemplifies_relation(greater_than,sK1_skl,X0)|exemplifies_relation(greater_than,X0,sK1_skl)|sK1_skl=X0)),
% 0.19/0.47 inference(resolution,[status(thm)],[f14,f17])).
% 0.19/0.47 fof(f94,definition,(
% 0.19/0.47 sQ13_spl <=> (exemplifies_property(none_greater,sK1_skl))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f96,plain,(
% 0.19/0.47 ~exemplifies_property(none_greater,sK1_skl)|sQ13_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f94])).
% 0.19/0.47 fof(f111,plain,(
% 0.19/0.47 exemplifies_relation(greater_than,sK1_skl,sK2_skl(sK1_skl))|exemplifies_relation(greater_than,sK2_skl(sK1_skl),sK1_skl)|sK1_skl=sK2_skl(sK1_skl)|~sQ1_spl),
% 0.19/0.47 inference(resolution,[status(thm)],[f90,f27])).
% 0.19/0.47 fof(f133,definition,(
% 0.19/0.47 sQ23_spl <=> (exemplifies_relation(greater_than,sK1_skl,sK2_skl(sK1_skl)))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f134,plain,(
% 0.19/0.47 exemplifies_relation(greater_than,sK1_skl,sK2_skl(sK1_skl))|~sQ23_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f133])).
% 0.19/0.47 fof(f136,definition,(
% 0.19/0.47 sQ24_spl <=> (exemplifies_relation(greater_than,sK2_skl(sK1_skl),sK1_skl))),
% 0.19/0.47 introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition])).
% 0.19/0.47 fof(f137,plain,(
% 0.19/0.47 exemplifies_relation(greater_than,sK2_skl(sK1_skl),sK1_skl)|~sQ24_spl),
% 0.19/0.47 inference(component_clause,[status(thm)],[f136])).
% 0.19/0.47 fof(f139,plain,(
% 0.19/0.47 sQ23_spl|sQ24_spl|sQ2_spl|~sQ1_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f111,f133,f136,f33,f26])).
% 0.19/0.47 fof(f199,plain,(
% 0.19/0.47 ~object(sK2_skl(sK1_skl))|~exemplifies_property(none_greater,sK2_skl(sK1_skl))|~object(sK1_skl)|~exemplifies_property(conceivable,sK1_skl)|~sQ23_spl),
% 0.19/0.47 inference(resolution,[status(thm)],[f134,f9])).
% 0.19/0.47 fof(f200,plain,(
% 0.19/0.47 ~sQ1_spl|~sQ3_spl|~sQ0_spl|~sQ12_spl|~sQ23_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f199,f26,f38,f23,f83,f133])).
% 0.19/0.47 fof(f201,plain,(
% 0.19/0.47 ~object(sK1_skl)|~exemplifies_property(none_greater,sK1_skl)|~object(sK2_skl(sK1_skl))|~exemplifies_property(conceivable,sK2_skl(sK1_skl))|~sQ24_spl),
% 0.19/0.47 inference(resolution,[status(thm)],[f137,f9])).
% 0.19/0.47 fof(f202,plain,(
% 0.19/0.47 ~sQ0_spl|~sQ13_spl|~sQ1_spl|~sQ11_spl|~sQ24_spl),
% 0.19/0.47 inference(split_clause,[status(thm)],[f201,f23,f94,f26,f79,f136])).
% 0.19/0.47 fof(f203,plain,(
% 0.19/0.47 $false|sQ13_spl),
% 0.19/0.47 inference(forward_subsumption_resolution,[status(thm)],[f96,f18])).
% 0.19/0.47 fof(f204,plain,(
% 0.19/0.47 sQ13_spl),
% 0.19/0.47 inference(contradiction_clause,[status(thm)],[f203])).
% 0.19/0.47 fof(f205,plain,(
% 0.19/0.47 $false),
% 0.19/0.47 inference(sat_refutation,[status(thm)],[f29,f31,f36,f41,f82,f86,f139,f200,f202,f204])).
% 0.19/0.47 % SZS output end CNFRefutation for theBenchmark.p
% 0.19/0.50 % Elapsed time: 0.050904 seconds
% 0.19/0.50 % CPU time: 0.141356 seconds
% 0.19/0.50 % Total memory used: 35.255 MB
% 0.19/0.50 % Net memory used: 35.083 MB
%------------------------------------------------------------------------------