%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:58:08 PM UTC 2026
% Result : Theorem 0.17s 0.56s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI009+1 : TPTP v9.3.1. Released v7.2.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.52 % Computer : n026.cluster.edu
% 0.11/0.52 % Model : x86_64 x86_64
% 0.11/0.52 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.52 % Memory : 8046.5625MB
% 0.11/0.52 % OS : Linux 6.8.0-71-generic
% 0.11/0.52 % CPULimit : 300
% 0.11/0.52 % WCLimit : 300
% 0.11/0.52 % DateTime : Mon Sep 21 03:32:38 UTC 2026
% 0.11/0.52 % CPUTime :
% 0.11/0.53 % Drodi V4.1.1
% 0.17/0.56 % Refutation found
% 0.17/0.56 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.17/0.56 % SZS output start CNFRefutation for theBenchmark
% 0.17/0.56 fof(f1,axiom,(
% 0.17/0.56 (! [F,G,X] :( ( property(F)& property(G)& object(X) )=> ( ( is_the(X,F)& exemplifies_property(G,X) )<=> (? [Y] :( object(Y)& exemplifies_property(F,Y)& (! [Z] :( object(Z)=> ( exemplifies_property(F,Z)=> Z = Y ) ))& exemplifies_property(G,Y) ) )) ) )),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f2,conjecture,(
% 0.17/0.56 (! [F] :( property(F)=> ( (? [Y] :( object(Y)& exemplifies_property(F,Y)& (! [Z] :( object(Z)=> ( exemplifies_property(F,Z)=> Z = Y ) ) )))=> (? [U] :( object(U)& is_the(U,F) ) )) ) )),
% 0.17/0.56 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.17/0.56 fof(f3,negated_conjecture,(
% 0.17/0.56 ~((! [F] :( property(F)=> ( (? [Y] :( object(Y)& exemplifies_property(F,Y)& (! [Z] :( object(Z)=> ( exemplifies_property(F,Z)=> Z = Y ) ) )))=> (? [U] :( object(U)& is_the(U,F) ) )) ) ))),
% 0.17/0.56 inference(negated_conjecture,[status(cth)],[f2])).
% 0.17/0.56 fof(f4,plain,(
% 0.17/0.56 ![F,G,X]: (((~property(F)|~property(G))|~object(X))|((is_the(X,F)&exemplifies_property(G,X))<=>(?[Y]: (((object(Y)&exemplifies_property(F,Y))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=Y))))&exemplifies_property(G,Y)))))),
% 0.17/0.56 inference(pre_NNF_transformation,[status(thm)],[f1])).
% 0.17/0.56 fof(f5,plain,(
% 0.17/0.56 ![F,G,X]: (((~property(F)|~property(G))|~object(X))|(((~is_the(X,F)|~exemplifies_property(G,X))|(?[Y]: (((object(Y)&exemplifies_property(F,Y))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=Y))))&exemplifies_property(G,Y))))&((is_the(X,F)&exemplifies_property(G,X))|(![Y]: (((~object(Y)|~exemplifies_property(F,Y))|(?[Z]: (object(Z)&(exemplifies_property(F,Z)&~Z=Y))))|~exemplifies_property(G,Y))))))),
% 0.17/0.56 inference(NNF_transformation,[status(thm)],[f4])).
% 0.17/0.56 fof(f6,plain,(
% 0.17/0.56 ![F,G,X]: (((~property(F)|~property(G))|~object(X))|(((~is_the(X,F)|~exemplifies_property(G,X))|(((object(sK0_skl(X,G,F))&exemplifies_property(F,sK0_skl(X,G,F)))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=sK0_skl(X,G,F)))))&exemplifies_property(G,sK0_skl(X,G,F))))&((is_the(X,F)&exemplifies_property(G,X))|(![Y]: (((~object(Y)|~exemplifies_property(F,Y))|(object(sK1_skl(Y,X,G,F))&(exemplifies_property(F,sK1_skl(Y,X,G,F))&~sK1_skl(Y,X,G,F)=Y)))|~exemplifies_property(G,Y))))))),
% 0.17/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(X,G,F)),skolemize(Z,sK1_skl(Y,X,G,F))],[f5])).
% 0.17/0.56 fof(f11,plain,(
% 0.17/0.56 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|object(sK1_skl(X3,X2,X1,X0))|~exemplifies_property(X1,X3))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.56 fof(f12,plain,(
% 0.17/0.56 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|exemplifies_property(X0,sK1_skl(X3,X2,X1,X0))|~exemplifies_property(X1,X3))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.56 fof(f13,plain,(
% 0.17/0.56 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|~sK1_skl(X3,X2,X1,X0)=X3|~exemplifies_property(X1,X3))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f6])).
% 0.17/0.56 fof(f17,plain,(
% 0.17/0.56 (?[F]: (property(F)&((?[Y]: ((object(Y)&exemplifies_property(F,Y))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=Y)))))&(![U]: (~object(U)|~is_the(U,F))))))),
% 0.17/0.56 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.17/0.56 fof(f18,plain,(
% 0.17/0.56 (property(sK2_skl)&(((object(sK3_skl)&exemplifies_property(sK2_skl,sK3_skl))&(![Z]: (~object(Z)|(~exemplifies_property(sK2_skl,Z)|Z=sK3_skl))))&(![U]: (~object(U)|~is_the(U,sK2_skl)))))),
% 0.17/0.56 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl]),skolemize(F,sK2_skl),skolemize(Y,sK3_skl)],[f17])).
% 0.17/0.56 fof(f19,plain,(
% 0.17/0.56 property(sK2_skl)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.56 fof(f20,plain,(
% 0.17/0.56 object(sK3_skl)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.56 fof(f21,plain,(
% 0.17/0.56 exemplifies_property(sK2_skl,sK3_skl)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.56 fof(f22,plain,(
% 0.17/0.56 ![X0]: (~object(X0)|~exemplifies_property(sK2_skl,X0)|X0=sK3_skl)),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.56 fof(f23,plain,(
% 0.17/0.56 ![X0]: (~object(X0)|~is_the(X0,sK2_skl))),
% 0.17/0.56 inference(cnf_transformation,[status(thm)],[f18])).
% 0.17/0.56 fof(f32,plain,(
% 0.17/0.56 ![X0,X1,X2]: (~property(X0)|~property(X1)|is_the(sK3_skl,X0)|~object(X2)|~exemplifies_property(X0,X2)|object(sK1_skl(X2,sK3_skl,X1,X0))|~exemplifies_property(X1,X2))),
% 0.17/0.56 inference(resolution,[status(thm)],[f11,f20])).
% 0.17/0.56 fof(f33,plain,(
% 0.17/0.56 ![X0,X1,X2]: (~property(X0)|~property(X1)|is_the(sK3_skl,X0)|~object(X2)|~exemplifies_property(X0,X2)|exemplifies_property(X0,sK1_skl(X2,sK3_skl,X1,X0))|~exemplifies_property(X1,X2))),
% 0.17/0.56 inference(resolution,[status(thm)],[f12,f20])).
% 0.17/0.56 fof(f36,plain,(
% 0.17/0.56 ![X0]: (~property(sK2_skl)|~property(X0)|is_the(sK3_skl,sK2_skl)|~object(sK3_skl)|object(sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(resolution,[status(thm)],[f32,f21])).
% 0.17/0.56 fof(f37,plain,(
% 0.17/0.56 ![X0]: (~property(X0)|is_the(sK3_skl,sK2_skl)|~object(sK3_skl)|object(sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f36,f19])).
% 0.17/0.56 fof(f38,plain,(
% 0.17/0.56 ![X0]: (~property(sK2_skl)|~property(X0)|is_the(sK3_skl,sK2_skl)|~object(sK3_skl)|exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(resolution,[status(thm)],[f33,f21])).
% 0.17/0.56 fof(f39,plain,(
% 0.17/0.56 ![X0]: (~property(X0)|is_the(sK3_skl,sK2_skl)|~object(sK3_skl)|exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f38,f19])).
% 0.17/0.56 fof(f40,plain,(
% 0.17/0.56 ![X0]: (~property(X0)|~object(sK3_skl)|object(sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f37,f23])).
% 0.17/0.56 fof(f41,plain,(
% 0.17/0.56 ~property(sK2_skl)|~object(sK3_skl)|object(sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(resolution,[status(thm)],[f40,f21])).
% 0.17/0.56 fof(f42,plain,(
% 0.17/0.56 ~object(sK3_skl)|object(sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f41,f19])).
% 0.17/0.56 fof(f45,plain,(
% 0.17/0.56 object(sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f42,f20])).
% 0.17/0.56 fof(f50,plain,(
% 0.17/0.56 ![X0]: (~property(X0)|~object(sK3_skl)|exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,X0,sK2_skl))|~exemplifies_property(X0,sK3_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f39,f23])).
% 0.17/0.56 fof(f51,plain,(
% 0.17/0.56 ~property(sK2_skl)|~object(sK3_skl)|exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(resolution,[status(thm)],[f50,f21])).
% 0.17/0.56 fof(f52,plain,(
% 0.17/0.56 ~object(sK3_skl)|exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f51,f19])).
% 0.17/0.56 fof(f53,plain,(
% 0.17/0.56 exemplifies_property(sK2_skl,sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f52,f20])).
% 0.17/0.56 fof(f54,plain,(
% 0.17/0.56 ~object(sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl))|sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl)=sK3_skl),
% 0.17/0.56 inference(resolution,[status(thm)],[f53,f22])).
% 0.17/0.56 fof(f64,plain,(
% 0.17/0.56 sK1_skl(sK3_skl,sK3_skl,sK2_skl,sK2_skl)=sK3_skl),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f54,f45])).
% 0.17/0.56 fof(f89,plain,(
% 0.17/0.56 ~property(sK2_skl)|~property(sK2_skl)|~object(sK3_skl)|is_the(sK3_skl,sK2_skl)|~object(sK3_skl)|~exemplifies_property(sK2_skl,sK3_skl)|~exemplifies_property(sK2_skl,sK3_skl)),
% 0.17/0.56 inference(resolution,[status(thm)],[f64,f13])).
% 0.17/0.56 fof(f95,plain,(
% 0.17/0.56 ~property(sK2_skl)|~object(sK3_skl)|is_the(sK3_skl,sK2_skl)|~exemplifies_property(sK2_skl,sK3_skl)),
% 0.17/0.56 inference(duplicate_literals_removal,[status(thm)],[f89])).
% 0.17/0.56 fof(f96,plain,(
% 0.17/0.56 ~object(sK3_skl)|is_the(sK3_skl,sK2_skl)|~exemplifies_property(sK2_skl,sK3_skl)),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f95,f19])).
% 0.17/0.56 fof(f100,plain,(
% 0.17/0.56 is_the(sK3_skl,sK2_skl)|~exemplifies_property(sK2_skl,sK3_skl)),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f96,f20])).
% 0.17/0.56 fof(f101,plain,(
% 0.17/0.56 is_the(sK3_skl,sK2_skl)),
% 0.17/0.56 inference(resolution,[status(thm)],[f100,f21])).
% 0.17/0.56 fof(f102,plain,(
% 0.17/0.56 ~object(sK3_skl)),
% 0.17/0.56 inference(resolution,[status(thm)],[f101,f23])).
% 0.17/0.56 fof(f106,plain,(
% 0.17/0.56 $false),
% 0.17/0.56 inference(forward_subsumption_resolution,[status(thm)],[f102,f20])).
% 0.17/0.56 % SZS output end CNFRefutation for theBenchmark.p
% 0.17/0.58 % Elapsed time: 0.058363 seconds
% 0.17/0.58 % CPU time: 0.154768 seconds
% 0.17/0.58 % Total memory used: 80.398 MB
% 0.17/0.58 % Net memory used: 79.958 MB
%------------------------------------------------------------------------------