TSTP Solution File: PHI009+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:36:29 EDT 2024
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : PHI009+1 : TPTP v8.1.2. Released v7.2.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Apr 29 22:29:12 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (! [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) ) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,conjecture,(
% 0.13/0.36 (! [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) ) )) ) )),
% 0.13/0.36 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,negated_conjecture,(
% 0.13/0.36 ~((! [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) ) )) ) ))),
% 0.13/0.36 inference(negated_conjecture,[status(cth)],[f2])).
% 0.13/0.36 fof(f4,plain,(
% 0.13/0.36 ![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)))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f1])).
% 0.13/0.36 fof(f5,plain,(
% 0.13/0.36 ![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))))))),
% 0.13/0.36 inference(NNF_transformation,[status(esa)],[f4])).
% 0.13/0.36 fof(f6,plain,(
% 0.13/0.36 ![F,G,X]: (((~property(F)|~property(G))|~object(X))|(((~is_the(X,F)|~exemplifies_property(G,X))|(((object(sk0_0(X,G,F))&exemplifies_property(F,sk0_0(X,G,F)))&(![Z]: (~object(Z)|(~exemplifies_property(F,Z)|Z=sk0_0(X,G,F)))))&exemplifies_property(G,sk0_0(X,G,F))))&((is_the(X,F)&exemplifies_property(G,X))|(![Y]: (((~object(Y)|~exemplifies_property(F,Y))|(object(sk0_1(Y,X,G,F))&(exemplifies_property(F,sk0_1(Y,X,G,F))&~sk0_1(Y,X,G,F)=Y)))|~exemplifies_property(G,Y))))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f5])).
% 0.13/0.36 fof(f11,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|object(sk0_1(X3,X2,X1,X0))|~exemplifies_property(X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f12,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|exemplifies_property(X0,sk0_1(X3,X2,X1,X0))|~exemplifies_property(X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f13,plain,(
% 0.13/0.36 ![X0,X1,X2,X3]: (~property(X0)|~property(X1)|~object(X2)|is_the(X2,X0)|~object(X3)|~exemplifies_property(X0,X3)|~sk0_1(X3,X2,X1,X0)=X3|~exemplifies_property(X1,X3))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f6])).
% 0.13/0.36 fof(f17,plain,(
% 0.13/0.36 (?[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))))))),
% 0.13/0.36 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.13/0.36 fof(f18,plain,(
% 0.13/0.36 (property(sk0_2)&(((object(sk0_3)&exemplifies_property(sk0_2,sk0_3))&(![Z]: (~object(Z)|(~exemplifies_property(sk0_2,Z)|Z=sk0_3))))&(![U]: (~object(U)|~is_the(U,sk0_2)))))),
% 0.13/0.36 inference(skolemization,[status(esa)],[f17])).
% 0.13/0.36 fof(f19,plain,(
% 0.13/0.36 property(sk0_2)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f20,plain,(
% 0.13/0.36 object(sk0_3)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f21,plain,(
% 0.13/0.36 exemplifies_property(sk0_2,sk0_3)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f22,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|~exemplifies_property(sk0_2,X0)|X0=sk0_3)),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f23,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|~is_the(X0,sk0_2))),
% 0.13/0.36 inference(cnf_transformation,[status(esa)],[f18])).
% 0.13/0.36 fof(f24,plain,(
% 0.13/0.36 spl0_0 <=> object(sk0_3)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f26,plain,(
% 0.13/0.36 ~object(sk0_3)|spl0_0),
% 0.13/0.36 inference(component_clause,[status(thm)],[f24])).
% 0.13/0.36 fof(f32,plain,(
% 0.13/0.36 $false|spl0_0),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f26,f20])).
% 0.13/0.36 fof(f33,plain,(
% 0.13/0.36 spl0_0),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f32])).
% 0.13/0.36 fof(f34,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~property(X0)|~object(X1)|is_the(X1,X0)|~object(X2)|~exemplifies_property(X0,X2)|~sk0_1(X2,X1,sk0_2,X0)=X2|~exemplifies_property(sk0_2,X2))),
% 0.13/0.36 inference(resolution,[status(thm)],[f13,f19])).
% 0.13/0.36 fof(f35,plain,(
% 0.13/0.36 spl0_2 <=> ~property(X0)|~object(X1)|is_the(X1,X0)|~exemplifies_property(X0,sk0_3)|~sk0_1(sk0_3,X1,sk0_2,X0)=sk0_3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f36,plain,(
% 0.13/0.36 ![X0,X1]: (~property(X0)|~object(X1)|is_the(X1,X0)|~exemplifies_property(X0,sk0_3)|~sk0_1(sk0_3,X1,sk0_2,X0)=sk0_3|~spl0_2)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f35])).
% 0.13/0.36 fof(f38,plain,(
% 0.13/0.36 ![X0,X1]: (~property(X0)|~object(X1)|is_the(X1,X0)|~object(sk0_3)|~exemplifies_property(X0,sk0_3)|~sk0_1(sk0_3,X1,sk0_2,X0)=sk0_3)),
% 0.13/0.36 inference(resolution,[status(thm)],[f34,f21])).
% 0.13/0.36 fof(f39,plain,(
% 0.13/0.36 spl0_2|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f38,f35,f24])).
% 0.13/0.36 fof(f46,plain,(
% 0.13/0.36 ![X0,X1,X2]: (~property(X0)|~object(X1)|is_the(X1,X0)|~object(X2)|~exemplifies_property(X0,X2)|exemplifies_property(X0,sk0_1(X2,X1,sk0_2,X0))|~exemplifies_property(sk0_2,X2))),
% 0.13/0.36 inference(resolution,[status(thm)],[f12,f19])).
% 0.13/0.36 fof(f47,plain,(
% 0.13/0.36 spl0_4 <=> ~property(X0)|~object(X1)|is_the(X1,X0)|~exemplifies_property(X0,sk0_3)|exemplifies_property(X0,sk0_1(sk0_3,X1,sk0_2,X0))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f48,plain,(
% 0.13/0.36 ![X0,X1]: (~property(X0)|~object(X1)|is_the(X1,X0)|~exemplifies_property(X0,sk0_3)|exemplifies_property(X0,sk0_1(sk0_3,X1,sk0_2,X0))|~spl0_4)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f47])).
% 0.13/0.36 fof(f50,plain,(
% 0.13/0.36 ![X0,X1]: (~property(X0)|~object(X1)|is_the(X1,X0)|~object(sk0_3)|~exemplifies_property(X0,sk0_3)|exemplifies_property(X0,sk0_1(sk0_3,X1,sk0_2,X0)))),
% 0.13/0.36 inference(resolution,[status(thm)],[f46,f21])).
% 0.13/0.36 fof(f51,plain,(
% 0.13/0.36 spl0_4|~spl0_0),
% 0.13/0.36 inference(split_clause,[status(thm)],[f50,f47,f24])).
% 0.13/0.36 fof(f58,plain,(
% 0.13/0.36 spl0_6 <=> property(sk0_2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f60,plain,(
% 0.13/0.36 ~property(sk0_2)|spl0_6),
% 0.13/0.36 inference(component_clause,[status(thm)],[f58])).
% 0.13/0.36 fof(f61,plain,(
% 0.13/0.36 spl0_7 <=> ~object(X0)|is_the(X0,sk0_2)|~sk0_1(sk0_3,X0,sk0_2,sk0_2)=sk0_3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f62,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|is_the(X0,sk0_2)|~sk0_1(sk0_3,X0,sk0_2,sk0_2)=sk0_3|~spl0_7)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f61])).
% 0.13/0.36 fof(f64,plain,(
% 0.13/0.36 ![X0]: (~property(sk0_2)|~object(X0)|is_the(X0,sk0_2)|~sk0_1(sk0_3,X0,sk0_2,sk0_2)=sk0_3|~spl0_2)),
% 0.13/0.36 inference(resolution,[status(thm)],[f36,f21])).
% 0.13/0.36 fof(f65,plain,(
% 0.13/0.36 ~spl0_6|spl0_7|~spl0_2),
% 0.13/0.36 inference(split_clause,[status(thm)],[f64,f58,f61,f35])).
% 0.13/0.36 fof(f66,plain,(
% 0.13/0.36 $false|spl0_6),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f60,f19])).
% 0.13/0.36 fof(f67,plain,(
% 0.13/0.36 spl0_6),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f66])).
% 0.13/0.36 fof(f68,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|~sk0_1(sk0_3,X0,sk0_2,sk0_2)=sk0_3|~spl0_7)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f62,f23])).
% 0.13/0.36 fof(f72,plain,(
% 0.13/0.36 ~sk0_1(sk0_3,sk0_3,sk0_2,sk0_2)=sk0_3|~spl0_7),
% 0.13/0.36 inference(resolution,[status(thm)],[f68,f20])).
% 0.13/0.36 fof(f78,plain,(
% 0.13/0.36 spl0_9 <=> ~object(X0)|is_the(X0,sk0_2)|exemplifies_property(sk0_2,sk0_1(sk0_3,X0,sk0_2,sk0_2))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f79,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|is_the(X0,sk0_2)|exemplifies_property(sk0_2,sk0_1(sk0_3,X0,sk0_2,sk0_2))|~spl0_9)),
% 0.13/0.36 inference(component_clause,[status(thm)],[f78])).
% 0.13/0.36 fof(f81,plain,(
% 0.13/0.36 ![X0]: (~property(sk0_2)|~object(X0)|is_the(X0,sk0_2)|exemplifies_property(sk0_2,sk0_1(sk0_3,X0,sk0_2,sk0_2))|~spl0_4)),
% 0.13/0.36 inference(resolution,[status(thm)],[f48,f21])).
% 0.13/0.36 fof(f82,plain,(
% 0.13/0.36 ~spl0_6|spl0_9|~spl0_4),
% 0.13/0.36 inference(split_clause,[status(thm)],[f81,f58,f78,f47])).
% 0.13/0.36 fof(f83,plain,(
% 0.13/0.36 ![X0]: (~object(X0)|exemplifies_property(sk0_2,sk0_1(sk0_3,X0,sk0_2,sk0_2))|~spl0_9)),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f79,f23])).
% 0.13/0.36 fof(f87,plain,(
% 0.13/0.36 exemplifies_property(sk0_2,sk0_1(sk0_3,sk0_3,sk0_2,sk0_2))|~spl0_9),
% 0.13/0.36 inference(resolution,[status(thm)],[f83,f20])).
% 0.13/0.36 fof(f91,plain,(
% 0.13/0.36 spl0_11 <=> object(sk0_1(sk0_3,sk0_3,sk0_2,sk0_2))),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f93,plain,(
% 0.13/0.36 ~object(sk0_1(sk0_3,sk0_3,sk0_2,sk0_2))|spl0_11),
% 0.13/0.36 inference(component_clause,[status(thm)],[f91])).
% 0.13/0.36 fof(f111,plain,(
% 0.13/0.36 spl0_15 <=> sk0_1(sk0_3,sk0_3,sk0_2,sk0_2)=sk0_3),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f112,plain,(
% 0.13/0.36 sk0_1(sk0_3,sk0_3,sk0_2,sk0_2)=sk0_3|~spl0_15),
% 0.13/0.36 inference(component_clause,[status(thm)],[f111])).
% 0.13/0.36 fof(f114,plain,(
% 0.13/0.36 ~object(sk0_1(sk0_3,sk0_3,sk0_2,sk0_2))|sk0_1(sk0_3,sk0_3,sk0_2,sk0_2)=sk0_3|~spl0_9),
% 0.13/0.36 inference(resolution,[status(thm)],[f87,f22])).
% 0.13/0.36 fof(f115,plain,(
% 0.13/0.36 ~spl0_11|spl0_15|~spl0_9),
% 0.13/0.36 inference(split_clause,[status(thm)],[f114,f91,f111,f78])).
% 0.13/0.36 fof(f116,plain,(
% 0.13/0.36 spl0_16 <=> exemplifies_property(sk0_2,sk0_3)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f118,plain,(
% 0.13/0.36 ~exemplifies_property(sk0_2,sk0_3)|spl0_16),
% 0.13/0.36 inference(component_clause,[status(thm)],[f116])).
% 0.13/0.36 fof(f121,plain,(
% 0.13/0.36 spl0_17 <=> is_the(sk0_3,sk0_2)),
% 0.13/0.36 introduced(split_symbol_definition)).
% 0.13/0.36 fof(f122,plain,(
% 0.13/0.36 is_the(sk0_3,sk0_2)|~spl0_17),
% 0.13/0.36 inference(component_clause,[status(thm)],[f121])).
% 0.13/0.36 fof(f124,plain,(
% 0.13/0.36 ~property(sk0_2)|~property(sk0_2)|~object(sk0_3)|is_the(sk0_3,sk0_2)|~object(sk0_3)|~exemplifies_property(sk0_2,sk0_3)|~exemplifies_property(sk0_2,sk0_3)|spl0_11),
% 0.13/0.36 inference(resolution,[status(thm)],[f93,f11])).
% 0.13/0.36 fof(f125,plain,(
% 0.13/0.36 ~spl0_6|~spl0_0|spl0_17|~spl0_16|spl0_11),
% 0.13/0.36 inference(split_clause,[status(thm)],[f124,f58,f24,f121,f116,f91])).
% 0.13/0.36 fof(f126,plain,(
% 0.13/0.36 $false|spl0_16),
% 0.13/0.36 inference(forward_subsumption_resolution,[status(thm)],[f118,f21])).
% 0.13/0.36 fof(f127,plain,(
% 0.13/0.36 spl0_16),
% 0.13/0.36 inference(contradiction_clause,[status(thm)],[f126])).
% 0.13/0.36 fof(f128,plain,(
% 0.13/0.36 ~object(sk0_3)|~spl0_17),
% 0.13/0.36 inference(resolution,[status(thm)],[f122,f23])).
% 0.13/0.36 fof(f129,plain,(
% 0.13/0.36 ~spl0_0|~spl0_17),
% 0.13/0.37 inference(split_clause,[status(thm)],[f128,f24,f121])).
% 0.13/0.37 fof(f145,plain,(
% 0.13/0.37 $false|~spl0_7|~spl0_15),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f112,f72])).
% 0.13/0.37 fof(f146,plain,(
% 0.13/0.37 ~spl0_7|~spl0_15),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f145])).
% 0.13/0.37 fof(f147,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f33,f39,f51,f65,f67,f82,f115,f125,f127,f129,f146])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.37 % Elapsed time: 0.022055 seconds
% 0.13/0.37 % CPU time: 0.046419 seconds
% 0.13/0.37 % Total memory used: 12.824 MB
% 0.13/0.37 % Net memory used: 12.788 MB
%------------------------------------------------------------------------------