TSTP Solution File: SEU096+1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : SEU096+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 : Tue Apr 30 20:41:00 EDT 2024
% Result : Theorem 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SEU096+1 : TPTP v8.1.2. Released v3.2.0.
% 0.03/0.12 % 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 : Mon Apr 29 19:39:32 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.16/0.34 % Drodi V3.6.0
% 0.16/0.38 % Refutation found
% 0.16/0.38 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.16/0.38 % SZS output start CNFRefutation for theBenchmark
% 0.16/0.38 fof(f15,axiom,(
% 0.16/0.38 (! [A,B] :( ( relation(A)& function(A)& finite(B) )=> finite(relation_image(A,B)) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f50,axiom,(
% 0.16/0.38 (! [A,B] :( ( relation(B)& function(B) )=> ( subset(A,relation_rng(B))=> relation_image(B,relation_inverse_image(B,A)) = A ) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f53,conjecture,(
% 0.16/0.38 (! [A,B] :( ( relation(B)& function(B) )=> ( ( subset(A,relation_rng(B))& finite(relation_inverse_image(B,A)) )=> finite(A) ) ) )),
% 0.16/0.38 file('/export/starexec/sandbox2/benchmark/theBenchmark.p')).
% 0.16/0.38 fof(f54,negated_conjecture,(
% 0.16/0.38 ~((! [A,B] :( ( relation(B)& function(B) )=> ( ( subset(A,relation_rng(B))& finite(relation_inverse_image(B,A)) )=> finite(A) ) ) ))),
% 0.16/0.38 inference(negated_conjecture,[status(cth)],[f53])).
% 0.16/0.38 fof(f104,plain,(
% 0.16/0.38 ![A,B]: (((~relation(A)|~function(A))|~finite(B))|finite(relation_image(A,B)))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f15])).
% 0.16/0.38 fof(f105,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|~finite(X1)|finite(relation_image(X0,X1)))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f104])).
% 0.16/0.38 fof(f240,plain,(
% 0.16/0.38 ![A,B]: ((~relation(B)|~function(B))|(~subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.16/0.38 fof(f241,plain,(
% 0.16/0.38 ![B]: ((~relation(B)|~function(B))|(![A]: (~subset(A,relation_rng(B))|relation_image(B,relation_inverse_image(B,A))=A)))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f240])).
% 0.16/0.38 fof(f242,plain,(
% 0.16/0.38 ![X0,X1]: (~relation(X0)|~function(X0)|~subset(X1,relation_rng(X0))|relation_image(X0,relation_inverse_image(X0,X1))=X1)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f241])).
% 0.16/0.38 fof(f248,plain,(
% 0.16/0.38 (?[A,B]: ((relation(B)&function(B))&((subset(A,relation_rng(B))&finite(relation_inverse_image(B,A)))&~finite(A))))),
% 0.16/0.38 inference(pre_NNF_transformation,[status(esa)],[f54])).
% 0.16/0.38 fof(f249,plain,(
% 0.16/0.38 ?[B]: ((relation(B)&function(B))&(?[A]: ((subset(A,relation_rng(B))&finite(relation_inverse_image(B,A)))&~finite(A))))),
% 0.16/0.38 inference(miniscoping,[status(esa)],[f248])).
% 0.16/0.38 fof(f250,plain,(
% 0.16/0.38 ((relation(sk0_26)&function(sk0_26))&((subset(sk0_27,relation_rng(sk0_26))&finite(relation_inverse_image(sk0_26,sk0_27)))&~finite(sk0_27)))),
% 0.16/0.38 inference(skolemization,[status(esa)],[f249])).
% 0.16/0.38 fof(f251,plain,(
% 0.16/0.38 relation(sk0_26)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f250])).
% 0.16/0.38 fof(f252,plain,(
% 0.16/0.38 function(sk0_26)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f250])).
% 0.16/0.38 fof(f253,plain,(
% 0.16/0.38 subset(sk0_27,relation_rng(sk0_26))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f250])).
% 0.16/0.38 fof(f254,plain,(
% 0.16/0.38 finite(relation_inverse_image(sk0_26,sk0_27))),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f250])).
% 0.16/0.38 fof(f255,plain,(
% 0.16/0.38 ~finite(sk0_27)),
% 0.16/0.38 inference(cnf_transformation,[status(esa)],[f250])).
% 0.16/0.38 fof(f278,plain,(
% 0.16/0.38 spl0_0 <=> relation(sk0_26)),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f280,plain,(
% 0.16/0.38 ~relation(sk0_26)|spl0_0),
% 0.16/0.38 inference(component_clause,[status(thm)],[f278])).
% 0.16/0.38 fof(f281,plain,(
% 0.16/0.38 spl0_1 <=> ~subset(X0,relation_rng(sk0_26))|relation_image(sk0_26,relation_inverse_image(sk0_26,X0))=X0),
% 0.16/0.38 introduced(split_symbol_definition)).
% 0.16/0.38 fof(f282,plain,(
% 0.16/0.38 ![X0]: (~subset(X0,relation_rng(sk0_26))|relation_image(sk0_26,relation_inverse_image(sk0_26,X0))=X0|~spl0_1)),
% 0.16/0.38 inference(component_clause,[status(thm)],[f281])).
% 0.16/0.38 fof(f284,plain,(
% 0.16/0.38 ![X0]: (~relation(sk0_26)|~subset(X0,relation_rng(sk0_26))|relation_image(sk0_26,relation_inverse_image(sk0_26,X0))=X0)),
% 0.16/0.38 inference(resolution,[status(thm)],[f242,f252])).
% 0.16/0.38 fof(f285,plain,(
% 0.16/0.38 ~spl0_0|spl0_1),
% 0.16/0.38 inference(split_clause,[status(thm)],[f284,f278,f281])).
% 0.16/0.38 fof(f288,plain,(
% 0.16/0.38 $false|spl0_0),
% 0.16/0.38 inference(forward_subsumption_resolution,[status(thm)],[f280,f251])).
% 0.16/0.38 fof(f289,plain,(
% 0.16/0.38 spl0_0),
% 0.16/0.38 inference(contradiction_clause,[status(thm)],[f288])).
% 0.16/0.38 fof(f306,plain,(
% 0.16/0.38 relation_image(sk0_26,relation_inverse_image(sk0_26,sk0_27))=sk0_27|~spl0_1),
% 0.16/0.38 inference(resolution,[status(thm)],[f282,f253])).
% 0.16/0.39 fof(f559,plain,(
% 0.16/0.39 spl0_40 <=> finite(sk0_27)),
% 0.16/0.39 introduced(split_symbol_definition)).
% 0.16/0.39 fof(f560,plain,(
% 0.16/0.39 finite(sk0_27)|~spl0_40),
% 0.16/0.39 inference(component_clause,[status(thm)],[f559])).
% 0.16/0.39 fof(f1336,plain,(
% 0.16/0.39 spl0_149 <=> ~finite(X0)|finite(relation_image(sk0_26,X0))),
% 0.16/0.39 introduced(split_symbol_definition)).
% 0.16/0.39 fof(f1337,plain,(
% 0.16/0.39 ![X0]: (~finite(X0)|finite(relation_image(sk0_26,X0))|~spl0_149)),
% 0.16/0.39 inference(component_clause,[status(thm)],[f1336])).
% 0.16/0.39 fof(f1339,plain,(
% 0.16/0.39 ![X0]: (~relation(sk0_26)|~finite(X0)|finite(relation_image(sk0_26,X0)))),
% 0.16/0.39 inference(resolution,[status(thm)],[f105,f252])).
% 0.16/0.39 fof(f1340,plain,(
% 0.16/0.39 ~spl0_0|spl0_149),
% 0.16/0.39 inference(split_clause,[status(thm)],[f1339,f278,f1336])).
% 0.16/0.39 fof(f1348,plain,(
% 0.16/0.39 spl0_151 <=> finite(relation_inverse_image(sk0_26,sk0_27))),
% 0.16/0.39 introduced(split_symbol_definition)).
% 0.16/0.39 fof(f1350,plain,(
% 0.16/0.39 ~finite(relation_inverse_image(sk0_26,sk0_27))|spl0_151),
% 0.16/0.39 inference(component_clause,[status(thm)],[f1348])).
% 0.16/0.39 fof(f1351,plain,(
% 0.16/0.39 ~finite(relation_inverse_image(sk0_26,sk0_27))|finite(sk0_27)|~spl0_149|~spl0_1),
% 0.16/0.39 inference(paramodulation,[status(thm)],[f306,f1337])).
% 0.16/0.39 fof(f1352,plain,(
% 0.16/0.39 ~spl0_151|spl0_40|~spl0_149|~spl0_1),
% 0.16/0.39 inference(split_clause,[status(thm)],[f1351,f1348,f559,f1336,f281])).
% 0.16/0.39 fof(f1353,plain,(
% 0.16/0.39 $false|spl0_151),
% 0.16/0.39 inference(forward_subsumption_resolution,[status(thm)],[f1350,f254])).
% 0.16/0.39 fof(f1354,plain,(
% 0.16/0.39 spl0_151),
% 0.16/0.39 inference(contradiction_clause,[status(thm)],[f1353])).
% 0.16/0.39 fof(f1355,plain,(
% 0.16/0.39 $false|~spl0_40),
% 0.16/0.39 inference(forward_subsumption_resolution,[status(thm)],[f560,f255])).
% 0.16/0.39 fof(f1356,plain,(
% 0.16/0.39 ~spl0_40),
% 0.16/0.39 inference(contradiction_clause,[status(thm)],[f1355])).
% 0.16/0.39 fof(f1357,plain,(
% 0.16/0.39 $false),
% 0.16/0.39 inference(sat_refutation,[status(thm)],[f285,f289,f1340,f1352,f1354,f1356])).
% 0.16/0.39 % SZS output end CNFRefutation for theBenchmark.p
% 0.16/0.40 % Elapsed time: 0.057755 seconds
% 0.16/0.40 % CPU time: 0.321808 seconds
% 0.16/0.40 % Total memory used: 58.890 MB
% 0.16/0.40 % Net memory used: 58.745 MB
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