TSTP Solution File: SEU107+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n026.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 20:41:01 EDT 2024
% Result : Theorem 0.14s 0.38s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : SEU107+1 : TPTP v8.1.2. Released v3.2.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.31 % Computer : n026.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Mon Apr 29 20:06:49 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.14/0.32 % Drodi V3.6.0
% 0.14/0.38 % Refutation found
% 0.14/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.38 fof(f6,axiom,(
% 0.14/0.38 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> element(prebool_difference(A,B,C),A) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f7,axiom,(
% 0.14/0.38 (! [A] :(? [B] : element(B,A) ))),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f20,axiom,(
% 0.14/0.38 (! [A,B,C] :( ( ~ empty(A)& preboolean(A)& element(B,A)& element(C,A) )=> prebool_difference(A,B,C) = set_difference(B,C) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f21,axiom,(
% 0.14/0.38 (! [A,B] : subset(A,A) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f22,conjecture,(
% 0.14/0.38 (! [A] :( ( ~ empty(A)& preboolean(A) )=> in(empty_set,A) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f23,negated_conjecture,(
% 0.14/0.38 ~((! [A] :( ( ~ empty(A)& preboolean(A) )=> in(empty_set,A) ) ))),
% 0.14/0.38 inference(negated_conjecture,[status(cth)],[f22])).
% 0.14/0.38 fof(f25,axiom,(
% 0.14/0.38 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f26,axiom,(
% 0.14/0.38 (! [A,B] :( set_difference(A,B) = empty_set<=> subset(A,B) ) )),
% 0.14/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.14/0.38 fof(f46,plain,(
% 0.14/0.38 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|element(prebool_difference(A,B,C),A))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.14/0.38 fof(f47,plain,(
% 0.14/0.38 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|element(prebool_difference(X0,X1,X2),X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f46])).
% 0.14/0.38 fof(f48,plain,(
% 0.14/0.38 ![A]: element(sk0_0(A),A)),
% 0.14/0.38 inference(skolemization,[status(esa)],[f7])).
% 0.14/0.38 fof(f49,plain,(
% 0.14/0.38 ![X0]: (element(sk0_0(X0),X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f48])).
% 0.14/0.38 fof(f96,plain,(
% 0.14/0.38 ![A,B,C]: ((((empty(A)|~preboolean(A))|~element(B,A))|~element(C,A))|prebool_difference(A,B,C)=set_difference(B,C))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f20])).
% 0.14/0.38 fof(f97,plain,(
% 0.14/0.38 ![X0,X1,X2]: (empty(X0)|~preboolean(X0)|~element(X1,X0)|~element(X2,X0)|prebool_difference(X0,X1,X2)=set_difference(X1,X2))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f96])).
% 0.14/0.38 fof(f98,plain,(
% 0.14/0.38 ![A]: subset(A,A)),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f21])).
% 0.14/0.38 fof(f99,plain,(
% 0.14/0.38 ![X0]: (subset(X0,X0))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f98])).
% 0.14/0.38 fof(f100,plain,(
% 0.14/0.38 (?[A]: ((~empty(A)&preboolean(A))&~in(empty_set,A)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f23])).
% 0.14/0.38 fof(f101,plain,(
% 0.14/0.38 ((~empty(sk0_10)&preboolean(sk0_10))&~in(empty_set,sk0_10))),
% 0.14/0.38 inference(skolemization,[status(esa)],[f100])).
% 0.14/0.38 fof(f102,plain,(
% 0.14/0.38 ~empty(sk0_10)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f101])).
% 0.14/0.38 fof(f103,plain,(
% 0.14/0.38 preboolean(sk0_10)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f101])).
% 0.14/0.38 fof(f104,plain,(
% 0.14/0.38 ~in(empty_set,sk0_10)),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f101])).
% 0.14/0.38 fof(f107,plain,(
% 0.14/0.38 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.14/0.38 inference(pre_NNF_transformation,[status(esa)],[f25])).
% 0.14/0.38 fof(f108,plain,(
% 0.14/0.38 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f107])).
% 0.14/0.38 fof(f109,plain,(
% 0.14/0.38 ![A,B]: ((~set_difference(A,B)=empty_set|subset(A,B))&(set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.14/0.38 inference(NNF_transformation,[status(esa)],[f26])).
% 0.14/0.38 fof(f110,plain,(
% 0.14/0.38 (![A,B]: (~set_difference(A,B)=empty_set|subset(A,B)))&(![A,B]: (set_difference(A,B)=empty_set|~subset(A,B)))),
% 0.14/0.38 inference(miniscoping,[status(esa)],[f109])).
% 0.14/0.38 fof(f112,plain,(
% 0.14/0.38 ![X0,X1]: (set_difference(X0,X1)=empty_set|~subset(X0,X1))),
% 0.14/0.38 inference(cnf_transformation,[status(esa)],[f110])).
% 0.14/0.38 fof(f186,plain,(
% 0.14/0.38 spl0_2 <=> empty(sk0_10)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.38 fof(f187,plain,(
% 0.14/0.38 empty(sk0_10)|~spl0_2),
% 0.14/0.38 inference(component_clause,[status(thm)],[f186])).
% 0.14/0.38 fof(f189,plain,(
% 0.14/0.38 spl0_3 <=> ~element(X0,sk0_10)|~element(X1,sk0_10)|element(prebool_difference(sk0_10,X0,X1),sk0_10)),
% 0.14/0.38 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f190,plain,(
% 0.14/0.39 ![X0,X1]: (~element(X0,sk0_10)|~element(X1,sk0_10)|element(prebool_difference(sk0_10,X0,X1),sk0_10)|~spl0_3)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f189])).
% 0.14/0.39 fof(f192,plain,(
% 0.14/0.39 ![X0,X1]: (empty(sk0_10)|~element(X0,sk0_10)|~element(X1,sk0_10)|element(prebool_difference(sk0_10,X0,X1),sk0_10))),
% 0.14/0.39 inference(resolution,[status(thm)],[f47,f103])).
% 0.14/0.39 fof(f193,plain,(
% 0.14/0.39 spl0_2|spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f192,f186,f189])).
% 0.14/0.39 fof(f194,plain,(
% 0.14/0.39 $false|~spl0_2),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f187,f102])).
% 0.14/0.39 fof(f195,plain,(
% 0.14/0.39 ~spl0_2),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f194])).
% 0.14/0.39 fof(f240,plain,(
% 0.14/0.39 ![X0]: (~element(X0,sk0_10)|element(prebool_difference(sk0_10,sk0_0(sk0_10),X0),sk0_10)|~spl0_3)),
% 0.14/0.39 inference(resolution,[status(thm)],[f49,f190])).
% 0.14/0.39 fof(f245,plain,(
% 0.14/0.39 element(prebool_difference(sk0_10,sk0_0(sk0_10),sk0_0(sk0_10)),sk0_10)|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f240,f49])).
% 0.14/0.39 fof(f520,plain,(
% 0.14/0.39 ![X0]: (set_difference(X0,X0)=empty_set)),
% 0.14/0.39 inference(resolution,[status(thm)],[f112,f99])).
% 0.14/0.39 fof(f563,plain,(
% 0.14/0.39 spl0_62 <=> ~element(X0,sk0_10)|~element(X1,sk0_10)|prebool_difference(sk0_10,X0,X1)=set_difference(X0,X1)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f564,plain,(
% 0.14/0.39 ![X0,X1]: (~element(X0,sk0_10)|~element(X1,sk0_10)|prebool_difference(sk0_10,X0,X1)=set_difference(X0,X1)|~spl0_62)),
% 0.14/0.39 inference(component_clause,[status(thm)],[f563])).
% 0.14/0.39 fof(f566,plain,(
% 0.14/0.39 ![X0,X1]: (empty(sk0_10)|~element(X0,sk0_10)|~element(X1,sk0_10)|prebool_difference(sk0_10,X0,X1)=set_difference(X0,X1))),
% 0.14/0.39 inference(resolution,[status(thm)],[f97,f103])).
% 0.14/0.39 fof(f567,plain,(
% 0.14/0.39 spl0_2|spl0_62),
% 0.14/0.39 inference(split_clause,[status(thm)],[f566,f186,f563])).
% 0.14/0.39 fof(f741,plain,(
% 0.14/0.39 ![X0]: (~element(X0,sk0_10)|prebool_difference(sk0_10,X0,sk0_0(sk0_10))=set_difference(X0,sk0_0(sk0_10))|~spl0_62)),
% 0.14/0.39 inference(resolution,[status(thm)],[f564,f49])).
% 0.14/0.39 fof(f1059,plain,(
% 0.14/0.39 prebool_difference(sk0_10,sk0_0(sk0_10),sk0_0(sk0_10))=set_difference(sk0_0(sk0_10),sk0_0(sk0_10))|~spl0_62),
% 0.14/0.39 inference(resolution,[status(thm)],[f741,f49])).
% 0.14/0.39 fof(f1060,plain,(
% 0.14/0.39 prebool_difference(sk0_10,sk0_0(sk0_10),sk0_0(sk0_10))=empty_set|~spl0_62),
% 0.14/0.39 inference(forward_demodulation,[status(thm)],[f520,f1059])).
% 0.14/0.39 fof(f1061,plain,(
% 0.14/0.39 element(empty_set,sk0_10)|~spl0_62|~spl0_3),
% 0.14/0.39 inference(backward_demodulation,[status(thm)],[f1060,f245])).
% 0.14/0.39 fof(f1092,plain,(
% 0.14/0.39 spl0_144 <=> in(empty_set,sk0_10)),
% 0.14/0.39 introduced(split_symbol_definition)).
% 0.14/0.39 fof(f1093,plain,(
% 0.14/0.39 in(empty_set,sk0_10)|~spl0_144),
% 0.14/0.39 inference(component_clause,[status(thm)],[f1092])).
% 0.14/0.39 fof(f1095,plain,(
% 0.14/0.39 empty(sk0_10)|in(empty_set,sk0_10)|~spl0_62|~spl0_3),
% 0.14/0.39 inference(resolution,[status(thm)],[f1061,f108])).
% 0.14/0.39 fof(f1096,plain,(
% 0.14/0.39 spl0_2|spl0_144|~spl0_62|~spl0_3),
% 0.14/0.39 inference(split_clause,[status(thm)],[f1095,f186,f1092,f563,f189])).
% 0.14/0.39 fof(f1097,plain,(
% 0.14/0.39 $false|~spl0_144),
% 0.14/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1093,f104])).
% 0.14/0.39 fof(f1098,plain,(
% 0.14/0.39 ~spl0_144),
% 0.14/0.39 inference(contradiction_clause,[status(thm)],[f1097])).
% 0.14/0.39 fof(f1099,plain,(
% 0.14/0.39 $false),
% 0.14/0.39 inference(sat_refutation,[status(thm)],[f193,f195,f567,f1096,f1098])).
% 0.14/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.14/0.40 % Elapsed time: 0.077588 seconds
% 0.14/0.40 % CPU time: 0.525501 seconds
% 0.14/0.40 % Total memory used: 69.190 MB
% 0.14/0.40 % Net memory used: 68.759 MB
%------------------------------------------------------------------------------