TSTP Solution File: SEU080+1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 : Wed May 31 12:35:47 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU080+1 : TPTP v8.1.2. Released v3.2.0.
% 0.06/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.33 % Computer : n007.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Tue May 30 09:03:32 EDT 2023
% 0.11/0.33 % CPUTime :
% 0.11/0.34 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% 0.11/0.34 fof(f5,axiom,(
% 0.11/0.34 (! [A,B] :( A = B<=> ( subset(A,B)& subset(B,A) ) ) )),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f24,axiom,(
% 0.11/0.34 (! [A,B,C] :( ( relation(C)& function(C) )=> ( ( subset(relation_inverse_image(C,A),relation_inverse_image(C,B))& subset(A,relation_rng(C)) )=> subset(A,B) ) ) )),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f25,conjecture,(
% 0.11/0.34 (! [A,B,C] :( ( relation(C)& function(C) )=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)& subset(A,relation_rng(C))& subset(B,relation_rng(C)) )=> A = B ) ) )),
% 0.11/0.34 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.11/0.34 fof(f26,negated_conjecture,(
% 0.11/0.34 ~((! [A,B,C] :( ( relation(C)& function(C) )=> ( ( relation_inverse_image(C,A) = relation_inverse_image(C,B)& subset(A,relation_rng(C))& subset(B,relation_rng(C)) )=> A = B ) ) ))),
% 0.11/0.34 inference(negated_conjecture,[status(cth)],[f25])).
% 0.11/0.34 fof(f45,plain,(
% 0.11/0.34 ![A,B]: ((~A=B|(subset(A,B)&subset(B,A)))&(A=B|(~subset(A,B)|~subset(B,A))))),
% 0.11/0.34 inference(NNF_transformation,[status(esa)],[f5])).
% 0.11/0.34 fof(f46,plain,(
% 0.11/0.34 (![A,B]: (~A=B|(subset(A,B)&subset(B,A))))&(![A,B]: (A=B|(~subset(A,B)|~subset(B,A))))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f45])).
% 0.11/0.34 fof(f47,plain,(
% 0.11/0.34 ![X0,X1]: (~X0=X1|subset(X0,X1))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.34 fof(f49,plain,(
% 0.11/0.34 ![X0,X1]: (X0=X1|~subset(X0,X1)|~subset(X1,X0))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f46])).
% 0.11/0.34 fof(f97,plain,(
% 0.11/0.34 ![A,B,C]: ((~relation(C)|~function(C))|((~subset(relation_inverse_image(C,A),relation_inverse_image(C,B))|~subset(A,relation_rng(C)))|subset(A,B)))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f24])).
% 0.11/0.34 fof(f98,plain,(
% 0.11/0.34 ![C]: ((~relation(C)|~function(C))|(![A,B]: ((~subset(relation_inverse_image(C,A),relation_inverse_image(C,B))|~subset(A,relation_rng(C)))|subset(A,B))))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f97])).
% 0.11/0.34 fof(f99,plain,(
% 0.11/0.34 ![X0,X1,X2]: (~relation(X0)|~function(X0)|~subset(relation_inverse_image(X0,X1),relation_inverse_image(X0,X2))|~subset(X1,relation_rng(X0))|subset(X1,X2))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f98])).
% 0.11/0.34 fof(f100,plain,(
% 0.11/0.34 (?[A,B,C]: ((relation(C)&function(C))&(((relation_inverse_image(C,A)=relation_inverse_image(C,B)&subset(A,relation_rng(C)))&subset(B,relation_rng(C)))&~A=B)))),
% 0.11/0.34 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.11/0.34 fof(f101,plain,(
% 0.11/0.34 ?[C]: ((relation(C)&function(C))&(?[A,B]: (((relation_inverse_image(C,A)=relation_inverse_image(C,B)&subset(A,relation_rng(C)))&subset(B,relation_rng(C)))&~A=B)))),
% 0.11/0.34 inference(miniscoping,[status(esa)],[f100])).
% 0.11/0.34 fof(f102,plain,(
% 0.11/0.34 ((relation(sk0_11)&function(sk0_11))&(((relation_inverse_image(sk0_11,sk0_12)=relation_inverse_image(sk0_11,sk0_13)&subset(sk0_12,relation_rng(sk0_11)))&subset(sk0_13,relation_rng(sk0_11)))&~sk0_12=sk0_13))),
% 0.11/0.34 inference(skolemization,[status(esa)],[f101])).
% 0.11/0.34 fof(f103,plain,(
% 0.11/0.34 relation(sk0_11)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f104,plain,(
% 0.11/0.34 function(sk0_11)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f105,plain,(
% 0.11/0.34 relation_inverse_image(sk0_11,sk0_12)=relation_inverse_image(sk0_11,sk0_13)),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f106,plain,(
% 0.11/0.34 subset(sk0_12,relation_rng(sk0_11))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f107,plain,(
% 0.11/0.34 subset(sk0_13,relation_rng(sk0_11))),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f108,plain,(
% 0.11/0.34 ~sk0_12=sk0_13),
% 0.11/0.34 inference(cnf_transformation,[status(esa)],[f102])).
% 0.11/0.34 fof(f131,plain,(
% 0.11/0.34 ![X0]: (subset(X0,X0))),
% 0.11/0.34 inference(destructive_equality_resolution,[status(esa)],[f47])).
% 0.11/0.34 fof(f152,plain,(
% 0.11/0.34 spl0_4 <=> relation(sk0_11)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f154,plain,(
% 0.11/0.34 ~relation(sk0_11)|spl0_4),
% 0.11/0.34 inference(component_clause,[status(thm)],[f152])).
% 0.11/0.34 fof(f155,plain,(
% 0.11/0.34 spl0_5 <=> function(sk0_11)),
% 0.11/0.34 introduced(split_symbol_definition)).
% 0.11/0.34 fof(f157,plain,(
% 0.11/0.34 ~function(sk0_11)|spl0_5),
% 0.11/0.34 inference(component_clause,[status(thm)],[f155])).
% 0.11/0.35 fof(f158,plain,(
% 0.11/0.35 spl0_6 <=> ~subset(relation_inverse_image(sk0_11,sk0_12),relation_inverse_image(sk0_11,X0))|subset(sk0_13,X0)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f159,plain,(
% 0.11/0.35 ![X0]: (~subset(relation_inverse_image(sk0_11,sk0_12),relation_inverse_image(sk0_11,X0))|subset(sk0_13,X0)|~spl0_6)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f158])).
% 0.11/0.35 fof(f161,plain,(
% 0.11/0.35 spl0_7 <=> subset(sk0_13,relation_rng(sk0_11))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f163,plain,(
% 0.11/0.35 ~subset(sk0_13,relation_rng(sk0_11))|spl0_7),
% 0.11/0.35 inference(component_clause,[status(thm)],[f161])).
% 0.11/0.35 fof(f164,plain,(
% 0.11/0.35 ![X0]: (~relation(sk0_11)|~function(sk0_11)|~subset(relation_inverse_image(sk0_11,sk0_12),relation_inverse_image(sk0_11,X0))|~subset(sk0_13,relation_rng(sk0_11))|subset(sk0_13,X0))),
% 0.11/0.35 inference(paramodulation,[status(thm)],[f105,f99])).
% 0.11/0.35 fof(f165,plain,(
% 0.11/0.35 ~spl0_4|~spl0_5|spl0_6|~spl0_7),
% 0.11/0.35 inference(split_clause,[status(thm)],[f164,f152,f155,f158,f161])).
% 0.11/0.35 fof(f166,plain,(
% 0.11/0.35 spl0_8 <=> ~subset(relation_inverse_image(sk0_11,X0),relation_inverse_image(sk0_11,sk0_12))|~subset(X0,relation_rng(sk0_11))|subset(X0,sk0_13)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f167,plain,(
% 0.11/0.35 ![X0]: (~subset(relation_inverse_image(sk0_11,X0),relation_inverse_image(sk0_11,sk0_12))|~subset(X0,relation_rng(sk0_11))|subset(X0,sk0_13)|~spl0_8)),
% 0.11/0.35 inference(component_clause,[status(thm)],[f166])).
% 0.11/0.35 fof(f169,plain,(
% 0.11/0.35 ![X0]: (~relation(sk0_11)|~function(sk0_11)|~subset(relation_inverse_image(sk0_11,X0),relation_inverse_image(sk0_11,sk0_12))|~subset(X0,relation_rng(sk0_11))|subset(X0,sk0_13))),
% 0.11/0.35 inference(paramodulation,[status(thm)],[f105,f99])).
% 0.11/0.35 fof(f170,plain,(
% 0.11/0.35 ~spl0_4|~spl0_5|spl0_8),
% 0.11/0.35 inference(split_clause,[status(thm)],[f169,f152,f155,f166])).
% 0.11/0.35 fof(f171,plain,(
% 0.11/0.35 $false|spl0_7),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f163,f107])).
% 0.11/0.35 fof(f172,plain,(
% 0.11/0.35 spl0_7),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f171])).
% 0.11/0.35 fof(f173,plain,(
% 0.11/0.35 $false|spl0_5),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f157,f104])).
% 0.11/0.35 fof(f174,plain,(
% 0.11/0.35 spl0_5),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f173])).
% 0.11/0.35 fof(f175,plain,(
% 0.11/0.35 $false|spl0_4),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f154,f103])).
% 0.11/0.35 fof(f176,plain,(
% 0.11/0.35 spl0_4),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f175])).
% 0.11/0.35 fof(f214,plain,(
% 0.11/0.35 subset(sk0_13,sk0_12)|~spl0_6),
% 0.11/0.35 inference(resolution,[status(thm)],[f159,f131])).
% 0.11/0.35 fof(f225,plain,(
% 0.11/0.35 spl0_17 <=> sk0_12=sk0_13),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f226,plain,(
% 0.11/0.35 sk0_12=sk0_13|~spl0_17),
% 0.11/0.35 inference(component_clause,[status(thm)],[f225])).
% 0.11/0.35 fof(f228,plain,(
% 0.11/0.35 spl0_18 <=> subset(sk0_12,sk0_13)),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f231,plain,(
% 0.11/0.35 sk0_12=sk0_13|~subset(sk0_12,sk0_13)|~spl0_6),
% 0.11/0.35 inference(resolution,[status(thm)],[f214,f49])).
% 0.11/0.35 fof(f232,plain,(
% 0.11/0.35 spl0_17|~spl0_18|~spl0_6),
% 0.11/0.35 inference(split_clause,[status(thm)],[f231,f225,f228,f158])).
% 0.11/0.35 fof(f233,plain,(
% 0.11/0.35 spl0_19 <=> subset(sk0_12,relation_rng(sk0_11))),
% 0.11/0.35 introduced(split_symbol_definition)).
% 0.11/0.35 fof(f235,plain,(
% 0.11/0.35 ~subset(sk0_12,relation_rng(sk0_11))|spl0_19),
% 0.11/0.35 inference(component_clause,[status(thm)],[f233])).
% 0.11/0.35 fof(f236,plain,(
% 0.11/0.35 ~subset(sk0_12,relation_rng(sk0_11))|subset(sk0_12,sk0_13)|~spl0_8),
% 0.11/0.35 inference(resolution,[status(thm)],[f167,f131])).
% 0.11/0.35 fof(f237,plain,(
% 0.11/0.35 ~spl0_19|spl0_18|~spl0_8),
% 0.11/0.35 inference(split_clause,[status(thm)],[f236,f233,f228,f166])).
% 0.11/0.35 fof(f240,plain,(
% 0.11/0.35 $false|spl0_19),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f235,f106])).
% 0.11/0.35 fof(f241,plain,(
% 0.11/0.35 spl0_19),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f240])).
% 0.11/0.35 fof(f242,plain,(
% 0.11/0.35 $false|~spl0_17),
% 0.11/0.35 inference(forward_subsumption_resolution,[status(thm)],[f226,f108])).
% 0.11/0.35 fof(f243,plain,(
% 0.11/0.35 ~spl0_17),
% 0.11/0.35 inference(contradiction_clause,[status(thm)],[f242])).
% 0.11/0.35 fof(f244,plain,(
% 0.11/0.35 $false),
% 0.11/0.35 inference(sat_refutation,[status(thm)],[f165,f170,f172,f174,f176,f232,f237,f241,f243])).
% 0.11/0.35 % SZS output end CNFRefutation for theBenchmark.p
% 0.11/0.35 % Elapsed time: 0.014010 seconds
% 0.11/0.35 % CPU time: 0.013453 seconds
% 0.11/0.35 % Memory used: 3.717 MB
%------------------------------------------------------------------------------