TSTP Solution File: SEU280+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:41:48 EDT 2024
% Result : Theorem 0.14s 0.32s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.10 % Problem : SEU280+1 : TPTP v8.1.2. Released v3.3.0.
% 0.04/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n008.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Mon Apr 29 19:50:42 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.31 % Drodi V3.6.0
% 0.14/0.32 % Refutation found
% 0.14/0.32 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.32 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.32 fof(f1,conjecture,(
% 0.14/0.32 (! [A] :(? [B] :(! [C] :( in(C,B)<=> ( in(C,A)& ordinal(C) ) ) )))),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f2,negated_conjecture,(
% 0.14/0.32 ~((! [A] :(? [B] :(! [C] :( in(C,B)<=> ( in(C,A)& ordinal(C) ) ) ))))),
% 0.14/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.14/0.32 fof(f7,axiom,(
% 0.14/0.32 (! [A] :( (! [B,C,D] :( ( B = C& ordinal(C)& B = D& ordinal(D) )=> C = D ))=> (? [B] :(! [C] :( in(C,B)<=> (? [D] :( in(D,A)& D = C& ordinal(C) ) )) ))) )),
% 0.14/0.32 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.32 fof(f8,plain,(
% 0.14/0.32 (?[A]: ![B]: ?[C]: (in(C,B)<~>(in(C,A)&ordinal(C))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.14/0.32 fof(f9,plain,(
% 0.14/0.32 ?[A]: ![B]: ?[C]: ((in(C,B)|(in(C,A)&ordinal(C)))&(~in(C,B)|(~in(C,A)|~ordinal(C))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f8])).
% 0.14/0.32 fof(f10,plain,(
% 0.14/0.32 ![B]: ((in(sk0_1(B),B)|(in(sk0_1(B),sk0_0)&ordinal(sk0_1(B))))&(~in(sk0_1(B),B)|(~in(sk0_1(B),sk0_0)|~ordinal(sk0_1(B)))))),
% 0.14/0.32 inference(skolemization,[status(esa)],[f9])).
% 0.14/0.32 fof(f11,plain,(
% 0.14/0.32 ![X0]: (in(sk0_1(X0),X0)|in(sk0_1(X0),sk0_0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.32 fof(f12,plain,(
% 0.14/0.32 ![X0]: (in(sk0_1(X0),X0)|ordinal(sk0_1(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.32 fof(f13,plain,(
% 0.14/0.32 ![X0]: (~in(sk0_1(X0),X0)|~in(sk0_1(X0),sk0_0)|~ordinal(sk0_1(X0)))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f10])).
% 0.14/0.32 fof(f25,plain,(
% 0.14/0.32 ![A]: ((?[B,C,D]: ((((B=C&ordinal(C))&B=D)&ordinal(D))&~C=D))|(?[B]: ![C]: (in(C,B)<=>(?[D]: ((in(D,A)&D=C)&ordinal(C))))))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f7])).
% 0.14/0.32 fof(f26,plain,(
% 0.14/0.32 ![B,C,D]: (pd0_0(D,C,B)=>((((B=C&ordinal(C))&B=D)&ordinal(D))&~C=D))),
% 0.14/0.32 introduced(predicate_definition,[f25])).
% 0.14/0.32 fof(f27,plain,(
% 0.14/0.32 ![A]: ((?[B,C,D]: pd0_0(D,C,B))|(?[B]: ![C]: (in(C,B)<=>(?[D]: ((in(D,A)&D=C)&ordinal(C))))))),
% 0.14/0.32 inference(formula_renaming,[status(thm)],[f25,f26])).
% 0.14/0.32 fof(f28,plain,(
% 0.14/0.32 ![A]: ((?[B,C,D]: pd0_0(D,C,B))|(?[B]: ![C]: ((~in(C,B)|(?[D]: ((in(D,A)&D=C)&ordinal(C))))&(in(C,B)|(![D]: ((~in(D,A)|~D=C)|~ordinal(C)))))))),
% 0.14/0.32 inference(NNF_transformation,[status(esa)],[f27])).
% 0.14/0.32 fof(f29,plain,(
% 0.14/0.32 (?[B,C,D]: pd0_0(D,C,B))|(![A]: ?[B]: ((![C]: (~in(C,B)|((?[D]: (in(D,A)&D=C))&ordinal(C))))&(![C]: (in(C,B)|((![D]: (~in(D,A)|~D=C))|~ordinal(C))))))),
% 0.14/0.32 inference(miniscoping,[status(esa)],[f28])).
% 0.14/0.32 fof(f30,plain,(
% 0.14/0.32 pd0_0(sk0_5,sk0_4,sk0_3)|(![A]: ((![C]: (~in(C,sk0_6(A))|((in(sk0_7(C,A),A)&sk0_7(C,A)=C)&ordinal(C))))&(![C]: (in(C,sk0_6(A))|((![D]: (~in(D,A)|~D=C))|~ordinal(C))))))),
% 0.14/0.32 inference(skolemization,[status(esa)],[f29])).
% 0.14/0.32 fof(f31,plain,(
% 0.14/0.32 ![X0,X1]: (pd0_0(sk0_5,sk0_4,sk0_3)|~in(X0,sk0_6(X1))|in(sk0_7(X0,X1),X1))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.32 fof(f32,plain,(
% 0.14/0.32 ![X0,X1]: (pd0_0(sk0_5,sk0_4,sk0_3)|~in(X0,sk0_6(X1))|sk0_7(X0,X1)=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.32 fof(f33,plain,(
% 0.14/0.32 ![X0,X1]: (pd0_0(sk0_5,sk0_4,sk0_3)|~in(X0,sk0_6(X1))|ordinal(X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.32 fof(f34,plain,(
% 0.14/0.32 ![X0,X1,X2]: (pd0_0(sk0_5,sk0_4,sk0_3)|in(X0,sk0_6(X1))|~in(X2,X1)|~X2=X0|~ordinal(X0))),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f30])).
% 0.14/0.32 fof(f35,plain,(
% 0.14/0.32 ![B,C,D]: (~pd0_0(D,C,B)|((((B=C&ordinal(C))&B=D)&ordinal(D))&~C=D))),
% 0.14/0.32 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.14/0.32 fof(f36,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=X1)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.32 fof(f38,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|X2=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.32 fof(f40,plain,(
% 0.14/0.32 ![X0,X1,X2]: (~pd0_0(X0,X1,X2)|~X1=X0)),
% 0.14/0.32 inference(cnf_transformation,[status(esa)],[f35])).
% 0.14/0.32 fof(f41,plain,(
% 0.14/0.32 spl0_0 <=> pd0_0(sk0_5,sk0_4,sk0_3)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f42,plain,(
% 0.14/0.32 pd0_0(sk0_5,sk0_4,sk0_3)|~spl0_0),
% 0.14/0.32 inference(component_clause,[status(thm)],[f41])).
% 0.14/0.32 fof(f44,plain,(
% 0.14/0.32 spl0_1 <=> ~in(X0,sk0_6(X1))|in(sk0_7(X0,X1),X1)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f45,plain,(
% 0.14/0.32 ![X0,X1]: (~in(X0,sk0_6(X1))|in(sk0_7(X0,X1),X1)|~spl0_1)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f44])).
% 0.14/0.32 fof(f47,plain,(
% 0.14/0.32 spl0_0|spl0_1),
% 0.14/0.32 inference(split_clause,[status(thm)],[f31,f41,f44])).
% 0.14/0.32 fof(f48,plain,(
% 0.14/0.32 spl0_2 <=> ~in(X0,sk0_6(X1))|sk0_7(X0,X1)=X0),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f49,plain,(
% 0.14/0.32 ![X0,X1]: (~in(X0,sk0_6(X1))|sk0_7(X0,X1)=X0|~spl0_2)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f48])).
% 0.14/0.32 fof(f51,plain,(
% 0.14/0.32 spl0_0|spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f32,f41,f48])).
% 0.14/0.32 fof(f52,plain,(
% 0.14/0.32 spl0_3 <=> ~in(X0,sk0_6(X1))|ordinal(X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f53,plain,(
% 0.14/0.32 ![X0,X1]: (~in(X0,sk0_6(X1))|ordinal(X0)|~spl0_3)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f52])).
% 0.14/0.32 fof(f55,plain,(
% 0.14/0.32 spl0_0|spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f33,f41,f52])).
% 0.14/0.32 fof(f56,plain,(
% 0.14/0.32 spl0_4 <=> in(X0,sk0_6(X1))|~in(X2,X1)|~X2=X0|~ordinal(X0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f57,plain,(
% 0.14/0.32 ![X0,X1,X2]: (in(X0,sk0_6(X1))|~in(X2,X1)|~X2=X0|~ordinal(X0)|~spl0_4)),
% 0.14/0.32 inference(component_clause,[status(thm)],[f56])).
% 0.14/0.32 fof(f59,plain,(
% 0.14/0.32 spl0_0|spl0_4),
% 0.14/0.32 inference(split_clause,[status(thm)],[f34,f41,f56])).
% 0.14/0.32 fof(f60,plain,(
% 0.14/0.32 ![X0,X1]: (~pd0_0(X0,X0,X1))),
% 0.14/0.32 inference(destructive_equality_resolution,[status(esa)],[f40])).
% 0.14/0.32 fof(f80,plain,(
% 0.14/0.32 sk0_3=sk0_5|~spl0_0),
% 0.14/0.32 inference(resolution,[status(thm)],[f42,f38])).
% 0.14/0.32 fof(f81,plain,(
% 0.14/0.32 sk0_3=sk0_4|~spl0_0),
% 0.14/0.32 inference(resolution,[status(thm)],[f42,f36])).
% 0.14/0.32 fof(f83,plain,(
% 0.14/0.32 pd0_0(sk0_3,sk0_4,sk0_3)|~spl0_0),
% 0.14/0.32 inference(backward_demodulation,[status(thm)],[f80,f42])).
% 0.14/0.32 fof(f85,plain,(
% 0.14/0.32 pd0_0(sk0_3,sk0_3,sk0_3)|~spl0_0),
% 0.14/0.32 inference(forward_demodulation,[status(thm)],[f81,f83])).
% 0.14/0.32 fof(f86,plain,(
% 0.14/0.32 $false|~spl0_0),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f85,f60])).
% 0.14/0.32 fof(f87,plain,(
% 0.14/0.32 ~spl0_0),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f86])).
% 0.14/0.32 fof(f88,plain,(
% 0.14/0.32 ![X0,X1]: (in(X0,sk0_6(X1))|~in(X0,X1)|~ordinal(X0)|~spl0_4)),
% 0.14/0.32 inference(destructive_equality_resolution,[status(esa)],[f57])).
% 0.14/0.32 fof(f90,plain,(
% 0.14/0.32 ![X0]: (ordinal(sk0_1(sk0_6(X0)))|ordinal(sk0_1(sk0_6(X0)))|~spl0_3)),
% 0.14/0.32 inference(resolution,[status(thm)],[f53,f12])).
% 0.14/0.32 fof(f91,plain,(
% 0.14/0.32 ![X0]: (ordinal(sk0_1(sk0_6(X0)))|~spl0_3)),
% 0.14/0.32 inference(duplicate_literals_removal,[status(esa)],[f90])).
% 0.14/0.32 fof(f92,plain,(
% 0.14/0.32 ![X0]: (~in(sk0_1(sk0_6(X0)),sk0_6(X0))|~in(sk0_1(sk0_6(X0)),sk0_0)|~spl0_3)),
% 0.14/0.32 inference(resolution,[status(thm)],[f91,f13])).
% 0.14/0.32 fof(f96,plain,(
% 0.14/0.32 ![X0]: (sk0_7(sk0_1(sk0_6(X0)),X0)=sk0_1(sk0_6(X0))|in(sk0_1(sk0_6(X0)),sk0_0)|~spl0_2)),
% 0.14/0.32 inference(resolution,[status(thm)],[f49,f11])).
% 0.14/0.32 fof(f99,plain,(
% 0.14/0.32 ![X0,X1]: (in(sk0_1(sk0_6(X0)),sk0_6(X1))|~in(sk0_1(sk0_6(X0)),X1)|~spl0_4|~spl0_3)),
% 0.14/0.32 inference(resolution,[status(thm)],[f88,f91])).
% 0.14/0.32 fof(f101,plain,(
% 0.14/0.32 ![X0,X1]: (~in(sk0_1(sk0_6(X0)),X1)|sk0_7(sk0_1(sk0_6(X0)),X1)=sk0_1(sk0_6(X0))|~spl0_4|~spl0_3|~spl0_2)),
% 0.14/0.32 inference(resolution,[status(thm)],[f99,f49])).
% 0.14/0.32 fof(f105,plain,(
% 0.14/0.32 ![X0]: (sk0_7(sk0_1(sk0_6(X0)),sk0_0)=sk0_1(sk0_6(X0))|sk0_7(sk0_1(sk0_6(X0)),X0)=sk0_1(sk0_6(X0))|~spl0_4|~spl0_3|~spl0_2)),
% 0.14/0.32 inference(resolution,[status(thm)],[f101,f96])).
% 0.14/0.32 fof(f161,plain,(
% 0.14/0.32 sk0_7(sk0_1(sk0_6(sk0_0)),sk0_0)=sk0_1(sk0_6(sk0_0))|~spl0_4|~spl0_3|~spl0_2),
% 0.14/0.32 inference(factoring,[status(esa)],[f105])).
% 0.14/0.32 fof(f213,plain,(
% 0.14/0.32 spl0_13 <=> in(sk0_1(sk0_6(sk0_0)),sk0_6(sk0_0))),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f215,plain,(
% 0.14/0.32 ~in(sk0_1(sk0_6(sk0_0)),sk0_6(sk0_0))|spl0_13),
% 0.14/0.32 inference(component_clause,[status(thm)],[f213])).
% 0.14/0.32 fof(f221,plain,(
% 0.14/0.32 spl0_15 <=> in(sk0_1(sk0_6(sk0_0)),sk0_0)),
% 0.14/0.32 introduced(split_symbol_definition)).
% 0.14/0.32 fof(f222,plain,(
% 0.14/0.32 in(sk0_1(sk0_6(sk0_0)),sk0_0)|~spl0_15),
% 0.14/0.32 inference(component_clause,[status(thm)],[f221])).
% 0.14/0.32 fof(f224,plain,(
% 0.14/0.32 ~in(sk0_1(sk0_6(sk0_0)),sk0_6(sk0_0))|in(sk0_1(sk0_6(sk0_0)),sk0_0)|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.14/0.32 inference(paramodulation,[status(thm)],[f161,f45])).
% 0.14/0.32 fof(f225,plain,(
% 0.14/0.32 ~spl0_13|spl0_15|~spl0_1|~spl0_4|~spl0_3|~spl0_2),
% 0.14/0.32 inference(split_clause,[status(thm)],[f224,f213,f221,f44,f56,f52,f48])).
% 0.14/0.32 fof(f228,plain,(
% 0.14/0.32 ~in(sk0_1(sk0_6(sk0_0)),sk0_0)|spl0_13|~spl0_4|~spl0_3),
% 0.14/0.32 inference(resolution,[status(thm)],[f215,f99])).
% 0.14/0.32 fof(f233,plain,(
% 0.14/0.32 in(sk0_1(sk0_6(sk0_0)),sk0_6(sk0_0))|spl0_13|~spl0_4|~spl0_3),
% 0.14/0.32 inference(resolution,[status(thm)],[f228,f11])).
% 0.14/0.32 fof(f234,plain,(
% 0.14/0.32 $false|spl0_13|~spl0_4|~spl0_3),
% 0.14/0.32 inference(forward_subsumption_resolution,[status(thm)],[f233,f215])).
% 0.14/0.32 fof(f235,plain,(
% 0.14/0.32 spl0_13|~spl0_4|~spl0_3),
% 0.14/0.32 inference(contradiction_clause,[status(thm)],[f234])).
% 0.14/0.32 fof(f236,plain,(
% 0.14/0.32 ~in(sk0_1(sk0_6(sk0_0)),sk0_6(sk0_0))|~spl0_15|~spl0_3),
% 0.14/0.32 inference(resolution,[status(thm)],[f222,f92])).
% 0.14/0.32 fof(f237,plain,(
% 0.14/0.32 ~spl0_13|~spl0_15|~spl0_3),
% 0.14/0.32 inference(split_clause,[status(thm)],[f236,f213,f221,f52])).
% 0.14/0.32 fof(f241,plain,(
% 0.14/0.32 $false),
% 0.14/0.32 inference(sat_refutation,[status(thm)],[f47,f51,f55,f59,f87,f225,f235,f237])).
% 0.14/0.32 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.34 % Elapsed time: 0.020194 seconds
% 0.14/0.34 % CPU time: 0.034553 seconds
% 0.14/0.34 % Total memory used: 12.923 MB
% 0.14/0.34 % Net memory used: 12.884 MB
%------------------------------------------------------------------------------