%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : PHI010+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 : 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 01:58:08 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : Assurance 0s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PHI010+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
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 03:31:59 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.14/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.40 fof(f3,axiom,(
% 0.14/0.40 (! [X,F] :( is_the(X,F)=> ( property(F)& object(X) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f4,axiom,(
% 0.14/0.40 (! [F,X,W] :( ( property(F)& object(X)& object(W) )=> ( ( is_the(X,F)& X = W )<=> (? [Y] :( object(Y)& exemplifies_property(F,Y)& (! [Z] :( object(Z)=> ( exemplifies_property(F,Z)=> Z = Y ) ))& Y = W ) )) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f5,conjecture,(
% 0.14/0.40 (! [X,F,Y] :( ( object(X)& property(F)& object(Y) )=> ( ( is_the(X,F)& X = Y )=> exemplifies_property(F,Y) ) ) )),
% 0.14/0.40 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.40 fof(f6,negated_conjecture,(
% 0.14/0.40 ~((! [X,F,Y] :( ( object(X)& property(F)& object(Y) )=> ( ( is_the(X,F)& X = Y )=> exemplifies_property(F,Y) ) ) ))),
% 0.14/0.40 inference(negated_conjecture,[status(cth)],[f5])).
% 0.14/0.40 fof(f12,plain,(
% 0.14/0.40 ![X,F]: (~is_the(X,F)|(property(F)&object(X)))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f3])).
% 0.14/0.40 fof(f13,plain,(
% 0.14/0.40 ![X0,X1]: (~is_the(X0,X1)|property(X1))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f12])).
% 0.14/0.40 fof(f15,plain,(
% 0.14/0.40 ![F,X,W]: (((~property(F)|~object(X))|~object(W))|((is_the(X,F)&X=W)<=>(?[Y]: (((object(Y)&exemplifies_property(F,Y))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=Y))))&Y=W))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f4])).
% 0.14/0.40 fof(f16,plain,(
% 0.14/0.40 ![F,X,W]: (((~property(F)|~object(X))|~object(W))|(((~is_the(X,F)|~X=W)|(?[Y]: (((object(Y)&exemplifies_property(F,Y))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=Y))))&Y=W)))&((is_the(X,F)&X=W)|(![Y]: (((~object(Y)|~exemplifies_property(F,Y))|(?[Z]: (object(Z)&(exemplifies_property(F,Z)&~Z=Y))))|~Y=W)))))),
% 0.14/0.40 inference(NNF_transformation,[status(thm)],[f15])).
% 0.14/0.40 fof(f17,plain,(
% 0.14/0.40 ![F,X,W]: (((~property(F)|~object(X))|~object(W))|(((~is_the(X,F)|~X=W)|(((object(sK0_skl(W,X,F))&exemplifies_property(F,sK0_skl(W,X,F)))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=sK0_skl(W,X,F)))))&sK0_skl(W,X,F)=W))&((is_the(X,F)&X=W)|(![Y]: (((~object(Y)|~exemplifies_property(F,Y))|(object(sK1_skl(Y,W,X,F))&(exemplifies_property(F,sK1_skl(Y,W,X,F))&~sK1_skl(Y,W,X,F)=Y)))|~Y=W)))))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl,sK1_skl]),skolemize(Y,sK0_skl(W,X,F)),skolemize(Z,sK1_skl(Y,W,X,F))],[f16])).
% 0.14/0.40 fof(f19,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~property(X0)|~object(X1)|~object(X2)|~is_the(X1,X0)|~X1=X2|exemplifies_property(X0,sK0_skl(X2,X1,X0)))),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f21,plain,(
% 0.14/0.40 ![X0,X1,X2]: (~property(X0)|~object(X1)|~object(X2)|~is_the(X1,X0)|~X1=X2|sK0_skl(X2,X1,X0)=X2)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f17])).
% 0.14/0.40 fof(f28,plain,(
% 0.14/0.40 (?[X,F,Y]: (((object(X)&property(F))&object(Y))&((is_the(X,F)&X=Y)&~exemplifies_property(F,Y))))),
% 0.14/0.40 inference(pre_NNF_transformation,[status(thm)],[f6])).
% 0.14/0.40 fof(f29,plain,(
% 0.14/0.40 (((object(sK2_skl)&property(sK3_skl))&object(sK4_skl))&((is_the(sK2_skl,sK3_skl)&sK2_skl=sK4_skl)&~exemplifies_property(sK3_skl,sK4_skl)))),
% 0.14/0.40 inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl,sK3_skl,sK4_skl]),skolemize(X,sK2_skl),skolemize(F,sK3_skl),skolemize(Y,sK4_skl)],[f28])).
% 0.14/0.40 fof(f32,plain,(
% 0.14/0.40 object(sK4_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f33,plain,(
% 0.14/0.40 is_the(sK2_skl,sK3_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f34,plain,(
% 0.14/0.40 sK2_skl=sK4_skl),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f35,plain,(
% 0.14/0.40 ~exemplifies_property(sK3_skl,sK4_skl)),
% 0.14/0.40 inference(cnf_transformation,[status(thm)],[f29])).
% 0.14/0.40 fof(f38,plain,(
% 0.14/0.40 ![X0,X2]: (~property(X0)|~object(X2)|~object(X2)|~is_the(X2,X0)|exemplifies_property(X0,sK0_skl(X2,X2,X0)))),
% 0.14/0.40 inference(destructive_equality_resolution,[status(thm)],[f19])).
% 0.14/0.40 fof(f39,plain,(
% 0.14/0.40 ![X0,X1]: (~property(X0)|~object(X1)|~is_the(X1,X0)|exemplifies_property(X0,sK0_skl(X1,X1,X0)))),
% 0.14/0.40 inference(duplicate_literals_removal,[status(thm)],[f38])).
% 0.14/0.40 fof(f42,plain,(
% 0.14/0.40 ![X0,X2]: (~property(X0)|~object(X2)|~object(X2)|~is_the(X2,X0)|sK0_skl(X2,X2,X0)=X2)),
% 0.14/0.41 inference(destructive_equality_resolution,[status(thm)],[f21])).
% 0.14/0.41 fof(f43,plain,(
% 0.14/0.41 ![X0,X1]: (~property(X0)|~object(X1)|~is_the(X1,X0)|sK0_skl(X1,X1,X0)=X1)),
% 0.14/0.41 inference(duplicate_literals_removal,[status(thm)],[f42])).
% 0.14/0.41 fof(f57,plain,(
% 0.14/0.41 is_the(sK4_skl,sK3_skl)),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f34,f33])).
% 0.14/0.41 fof(f61,plain,(
% 0.14/0.41 ![X0,X1]: (~object(X0)|~is_the(X0,X1)|sK0_skl(X0,X0,X1)=X0)),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f43,f13])).
% 0.14/0.41 fof(f62,plain,(
% 0.14/0.41 ~object(sK4_skl)|sK0_skl(sK4_skl,sK4_skl,sK3_skl)=sK4_skl),
% 0.14/0.41 inference(resolution,[status(thm)],[f61,f57])).
% 0.14/0.41 fof(f63,definition,(
% 0.14/0.41 sQ0_spl <=> (object(sK4_skl))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f65,plain,(
% 0.14/0.41 ~object(sK4_skl)|sQ0_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f63])).
% 0.14/0.41 fof(f66,definition,(
% 0.14/0.41 sQ1_spl <=> (sK0_skl(sK4_skl,sK4_skl,sK3_skl)=sK4_skl)),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f67,plain,(
% 0.14/0.41 sK0_skl(sK4_skl,sK4_skl,sK3_skl)=sK4_skl|~sQ1_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f66])).
% 0.14/0.41 fof(f69,plain,(
% 0.14/0.41 ~sQ0_spl|sQ1_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f62,f63,f66])).
% 0.14/0.41 fof(f70,plain,(
% 0.14/0.41 $false|sQ0_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f65,f32])).
% 0.14/0.41 fof(f71,plain,(
% 0.14/0.41 sQ0_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f70])).
% 0.14/0.41 fof(f79,plain,(
% 0.14/0.41 ![X0,X1]: (~object(X0)|~is_the(X0,X1)|exemplifies_property(X1,sK0_skl(X0,X0,X1)))),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f39,f13])).
% 0.14/0.41 fof(f80,plain,(
% 0.14/0.41 ~object(sK4_skl)|exemplifies_property(sK3_skl,sK0_skl(sK4_skl,sK4_skl,sK3_skl))),
% 0.14/0.41 inference(resolution,[status(thm)],[f79,f57])).
% 0.14/0.41 fof(f81,definition,(
% 0.14/0.41 sQ3_spl <=> (exemplifies_property(sK3_skl,sK0_skl(sK4_skl,sK4_skl,sK3_skl)))),
% 0.14/0.41 introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition])).
% 0.14/0.41 fof(f82,plain,(
% 0.14/0.41 exemplifies_property(sK3_skl,sK0_skl(sK4_skl,sK4_skl,sK3_skl))|~sQ3_spl),
% 0.14/0.41 inference(component_clause,[status(thm)],[f81])).
% 0.14/0.41 fof(f84,plain,(
% 0.14/0.41 ~sQ0_spl|sQ3_spl),
% 0.14/0.41 inference(split_clause,[status(thm)],[f80,f63,f81])).
% 0.14/0.41 fof(f85,plain,(
% 0.14/0.41 exemplifies_property(sK3_skl,sK4_skl)|~sQ1_spl|~sQ3_spl),
% 0.14/0.41 inference(forward_demodulation,[status(thm)],[f67,f82])).
% 0.14/0.41 fof(f86,plain,(
% 0.14/0.41 $false|~sQ1_spl|~sQ3_spl),
% 0.14/0.41 inference(forward_subsumption_resolution,[status(thm)],[f85,f35])).
% 0.14/0.41 fof(f87,plain,(
% 0.14/0.41 ~sQ1_spl|~sQ3_spl),
% 0.14/0.41 inference(contradiction_clause,[status(thm)],[f86])).
% 0.14/0.41 fof(f88,plain,(
% 0.14/0.41 $false),
% 0.14/0.41 inference(sat_refutation,[status(thm)],[f69,f71,f84,f87])).
% 0.14/0.41 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.43 % Elapsed time: 0.049977 seconds
% 0.14/0.43 % CPU time: 0.140958 seconds
% 0.14/0.43 % Total memory used: 101.721 MB
% 0.14/0.43 % Net memory used: 101.371 MB
%------------------------------------------------------------------------------