TSTP Solution File: SEU239+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU239+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:36:25 EDT 2023
% Result : Theorem 0.12s 0.35s
% Output : CNFRefutation 0.30s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU239+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n016.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 09:43:29 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 0.12/0.35 % Refutation found
% 0.12/0.35 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.12/0.35 % SZS output start CNFRefutation for theBenchmark
% 0.12/0.35 fof(f2,axiom,(
% 0.12/0.35 (! [A] :( empty(A)=> function(A) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f3,axiom,(
% 0.12/0.35 (! [A] :( ( relation(A)& empty(A)& function(A) )=> ( relation(A)& function(A)& one_to_one(A) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f6,axiom,(
% 0.12/0.35 (! [A] :( relation(A)=> (! [B] :( is_reflexive_in(A,B)<=> (! [C] :( in(C,B)=> in(ordered_pair(C,C),A) ) )) )) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f9,axiom,(
% 0.12/0.35 (! [A] :( relation(A)=> ( reflexive(A)<=> is_reflexive_in(A,relation_field(A)) ) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f20,axiom,(
% 0.12/0.35 empty(empty_set) ),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f25,conjecture,(
% 0.12/0.35 (! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f26,negated_conjecture,(
% 0.12/0.35 ~((! [A] :( relation(A)=> ( reflexive(A)<=> (! [B] :( in(B,relation_field(A))=> in(ordered_pair(B,B),A) ) )) ) ))),
% 0.12/0.35 inference(negated_conjecture,[status(cth)],[f25])).
% 0.12/0.35 fof(f29,axiom,(
% 0.12/0.35 (? [A] :( relation(A)& empty(A)& function(A) ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f35,axiom,(
% 0.12/0.35 (! [A] :( empty(A)=> A = empty_set ) )),
% 0.12/0.35 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.12/0.35 fof(f40,plain,(
% 0.12/0.35 ![A]: (~empty(A)|function(A))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f2])).
% 0.12/0.35 fof(f41,plain,(
% 0.12/0.35 ![X0]: (~empty(X0)|function(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f40])).
% 0.12/0.35 fof(f42,plain,(
% 0.12/0.35 ![A]: (((~relation(A)|~empty(A))|~function(A))|((relation(A)&function(A))&one_to_one(A)))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f3])).
% 0.12/0.35 fof(f45,plain,(
% 0.12/0.35 ![X0]: (~relation(X0)|~empty(X0)|~function(X0)|one_to_one(X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f42])).
% 0.12/0.35 fof(f48,plain,(
% 0.12/0.35 ![A]: (~relation(A)|(![B]: (is_reflexive_in(A,B)<=>(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f6])).
% 0.12/0.35 fof(f49,plain,(
% 0.12/0.35 ![A]: (~relation(A)|(![B]: ((~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A))))&(is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f48])).
% 0.12/0.35 fof(f50,plain,(
% 0.12/0.35 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(?[C]: (in(C,B)&~in(ordered_pair(C,C),A)))))))),
% 0.12/0.35 inference(miniscoping,[status(esa)],[f49])).
% 0.12/0.35 fof(f51,plain,(
% 0.12/0.35 ![A]: (~relation(A)|((![B]: (~is_reflexive_in(A,B)|(![C]: (~in(C,B)|in(ordered_pair(C,C),A)))))&(![B]: (is_reflexive_in(A,B)|(in(sk0_0(B,A),B)&~in(ordered_pair(sk0_0(B,A),sk0_0(B,A)),A))))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f50])).
% 0.12/0.35 fof(f52,plain,(
% 0.12/0.35 ![X0,X1,X2]: (~relation(X0)|~is_reflexive_in(X0,X1)|~in(X2,X1)|in(ordered_pair(X2,X2),X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f51])).
% 0.12/0.35 fof(f53,plain,(
% 0.12/0.35 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|in(sk0_0(X1,X0),X1))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f51])).
% 0.12/0.35 fof(f54,plain,(
% 0.12/0.35 ![X0,X1]: (~relation(X0)|is_reflexive_in(X0,X1)|~in(ordered_pair(sk0_0(X1,X0),sk0_0(X1,X0)),X0))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f51])).
% 0.12/0.35 fof(f58,plain,(
% 0.12/0.35 ![A]: (~relation(A)|(reflexive(A)<=>is_reflexive_in(A,relation_field(A))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f9])).
% 0.12/0.35 fof(f59,plain,(
% 0.12/0.35 ![A]: (~relation(A)|((~reflexive(A)|is_reflexive_in(A,relation_field(A)))&(reflexive(A)|~is_reflexive_in(A,relation_field(A)))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f58])).
% 0.12/0.35 fof(f60,plain,(
% 0.12/0.35 ![X0]: (~relation(X0)|~reflexive(X0)|is_reflexive_in(X0,relation_field(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f59])).
% 0.12/0.35 fof(f61,plain,(
% 0.12/0.35 ![X0]: (~relation(X0)|reflexive(X0)|~is_reflexive_in(X0,relation_field(X0)))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f59])).
% 0.12/0.35 fof(f64,plain,(
% 0.12/0.35 empty(empty_set)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f20])).
% 0.12/0.35 fof(f74,plain,(
% 0.12/0.35 (?[A]: (relation(A)&(reflexive(A)<~>(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))))),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f26])).
% 0.12/0.35 fof(f75,plain,(
% 0.12/0.35 ?[A]: (relation(A)&((reflexive(A)|(![B]: (~in(B,relation_field(A))|in(ordered_pair(B,B),A))))&(~reflexive(A)|(?[B]: (in(B,relation_field(A))&~in(ordered_pair(B,B),A))))))),
% 0.12/0.35 inference(NNF_transformation,[status(esa)],[f74])).
% 0.12/0.35 fof(f76,plain,(
% 0.12/0.35 (relation(sk0_2)&((reflexive(sk0_2)|(![B]: (~in(B,relation_field(sk0_2))|in(ordered_pair(B,B),sk0_2))))&(~reflexive(sk0_2)|(in(sk0_3,relation_field(sk0_2))&~in(ordered_pair(sk0_3,sk0_3),sk0_2)))))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f75])).
% 0.12/0.35 fof(f77,plain,(
% 0.12/0.35 relation(sk0_2)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.35 fof(f78,plain,(
% 0.12/0.35 ![X0]: (reflexive(sk0_2)|~in(X0,relation_field(sk0_2))|in(ordered_pair(X0,X0),sk0_2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.35 fof(f79,plain,(
% 0.12/0.35 ~reflexive(sk0_2)|in(sk0_3,relation_field(sk0_2))),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.35 fof(f80,plain,(
% 0.12/0.35 ~reflexive(sk0_2)|~in(ordered_pair(sk0_3,sk0_3),sk0_2)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f76])).
% 0.12/0.35 fof(f86,plain,(
% 0.12/0.35 ((relation(sk0_6)&empty(sk0_6))&function(sk0_6))),
% 0.12/0.35 inference(skolemization,[status(esa)],[f29])).
% 0.12/0.35 fof(f87,plain,(
% 0.12/0.35 relation(sk0_6)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f86])).
% 0.12/0.35 fof(f88,plain,(
% 0.12/0.35 empty(sk0_6)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f86])).
% 0.12/0.35 fof(f101,plain,(
% 0.12/0.35 ![A]: (~empty(A)|A=empty_set)),
% 0.12/0.35 inference(pre_NNF_transformation,[status(esa)],[f35])).
% 0.12/0.35 fof(f102,plain,(
% 0.12/0.35 ![X0]: (~empty(X0)|X0=empty_set)),
% 0.12/0.35 inference(cnf_transformation,[status(esa)],[f101])).
% 0.12/0.35 fof(f109,plain,(
% 0.12/0.35 spl0_0 <=> reflexive(sk0_2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f112,plain,(
% 0.12/0.35 spl0_1 <=> ~in(X0,relation_field(sk0_2))|in(ordered_pair(X0,X0),sk0_2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f113,plain,(
% 0.12/0.35 ![X0]: (~in(X0,relation_field(sk0_2))|in(ordered_pair(X0,X0),sk0_2)|~spl0_1)),
% 0.12/0.35 inference(component_clause,[status(thm)],[f112])).
% 0.12/0.35 fof(f115,plain,(
% 0.12/0.35 spl0_0|spl0_1),
% 0.12/0.35 inference(split_clause,[status(thm)],[f78,f109,f112])).
% 0.12/0.35 fof(f116,plain,(
% 0.12/0.35 spl0_2 <=> in(sk0_3,relation_field(sk0_2))),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f119,plain,(
% 0.12/0.35 ~spl0_0|spl0_2),
% 0.12/0.35 inference(split_clause,[status(thm)],[f79,f109,f116])).
% 0.12/0.35 fof(f120,plain,(
% 0.12/0.35 spl0_3 <=> in(ordered_pair(sk0_3,sk0_3),sk0_2)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f122,plain,(
% 0.12/0.35 ~in(ordered_pair(sk0_3,sk0_3),sk0_2)|spl0_3),
% 0.12/0.35 inference(component_clause,[status(thm)],[f120])).
% 0.12/0.35 fof(f123,plain,(
% 0.12/0.35 ~spl0_0|~spl0_3),
% 0.12/0.35 inference(split_clause,[status(thm)],[f80,f109,f120])).
% 0.12/0.35 fof(f127,plain,(
% 0.12/0.35 ![X0]: (~relation(X0)|~empty(X0)|one_to_one(X0))),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f45,f41])).
% 0.12/0.35 fof(f136,plain,(
% 0.12/0.35 spl0_6 <=> empty(sk0_6)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f138,plain,(
% 0.12/0.35 ~empty(sk0_6)|spl0_6),
% 0.12/0.35 inference(component_clause,[status(thm)],[f136])).
% 0.12/0.35 fof(f139,plain,(
% 0.12/0.35 spl0_7 <=> one_to_one(sk0_6)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f142,plain,(
% 0.12/0.35 ~empty(sk0_6)|one_to_one(sk0_6)),
% 0.12/0.35 inference(resolution,[status(thm)],[f127,f87])).
% 0.12/0.35 fof(f143,plain,(
% 0.12/0.35 ~spl0_6|spl0_7),
% 0.12/0.35 inference(split_clause,[status(thm)],[f142,f136,f139])).
% 0.12/0.35 fof(f160,plain,(
% 0.12/0.35 $false|spl0_6),
% 0.12/0.35 inference(forward_subsumption_resolution,[status(thm)],[f138,f88])).
% 0.12/0.35 fof(f161,plain,(
% 0.12/0.35 spl0_6),
% 0.12/0.35 inference(contradiction_clause,[status(thm)],[f160])).
% 0.12/0.35 fof(f162,plain,(
% 0.12/0.35 sk0_6=empty_set),
% 0.12/0.35 inference(resolution,[status(thm)],[f102,f88])).
% 0.12/0.35 fof(f166,plain,(
% 0.12/0.35 relation(empty_set)),
% 0.12/0.35 inference(backward_demodulation,[status(thm)],[f162,f87])).
% 0.12/0.35 fof(f169,plain,(
% 0.12/0.35 spl0_12 <=> empty(empty_set)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f171,plain,(
% 0.12/0.35 ~empty(empty_set)|spl0_12),
% 0.12/0.35 inference(component_clause,[status(thm)],[f169])).
% 0.12/0.35 fof(f172,plain,(
% 0.12/0.35 spl0_13 <=> one_to_one(empty_set)),
% 0.12/0.35 introduced(split_symbol_definition)).
% 0.12/0.35 fof(f175,plain,(
% 0.12/0.35 ~empty(empty_set)|one_to_one(empty_set)),
% 0.30/0.58 inference(resolution,[status(thm)],[f166,f127])).
% 0.30/0.58 fof(f176,plain,(
% 0.30/0.58 ~spl0_12|spl0_13),
% 0.30/0.58 inference(split_clause,[status(thm)],[f175,f169,f172])).
% 0.30/0.58 fof(f177,plain,(
% 0.30/0.58 $false|spl0_12),
% 0.30/0.58 inference(forward_subsumption_resolution,[status(thm)],[f171,f64])).
% 0.30/0.58 fof(f178,plain,(
% 0.30/0.58 spl0_12),
% 0.30/0.58 inference(contradiction_clause,[status(thm)],[f177])).
% 0.30/0.58 fof(f195,plain,(
% 0.30/0.58 spl0_14 <=> relation(sk0_2)),
% 0.30/0.58 introduced(split_symbol_definition)).
% 0.30/0.58 fof(f197,plain,(
% 0.30/0.58 ~relation(sk0_2)|spl0_14),
% 0.30/0.58 inference(component_clause,[status(thm)],[f195])).
% 0.30/0.58 fof(f198,plain,(
% 0.30/0.58 spl0_15 <=> ~is_reflexive_in(sk0_2,X0)|~in(sk0_3,X0)),
% 0.30/0.58 introduced(split_symbol_definition)).
% 0.30/0.58 fof(f199,plain,(
% 0.30/0.58 ![X0]: (~is_reflexive_in(sk0_2,X0)|~in(sk0_3,X0)|~spl0_15)),
% 0.30/0.58 inference(component_clause,[status(thm)],[f198])).
% 0.30/0.58 fof(f201,plain,(
% 0.30/0.58 ![X0]: (~relation(sk0_2)|~is_reflexive_in(sk0_2,X0)|~in(sk0_3,X0)|spl0_3)),
% 0.30/0.58 inference(resolution,[status(thm)],[f122,f52])).
% 0.30/0.58 fof(f202,plain,(
% 0.30/0.58 ~spl0_14|spl0_15|spl0_3),
% 0.30/0.58 inference(split_clause,[status(thm)],[f201,f195,f198,f120])).
% 0.30/0.58 fof(f203,plain,(
% 0.30/0.58 $false|spl0_14),
% 0.30/0.58 inference(forward_subsumption_resolution,[status(thm)],[f197,f77])).
% 0.30/0.58 fof(f204,plain,(
% 0.30/0.58 spl0_14),
% 0.30/0.58 inference(contradiction_clause,[status(thm)],[f203])).
% 0.30/0.58 fof(f205,plain,(
% 0.30/0.58 ~in(sk0_3,relation_field(sk0_2))|~relation(sk0_2)|~reflexive(sk0_2)|~spl0_15),
% 0.30/0.58 inference(resolution,[status(thm)],[f199,f60])).
% 0.30/0.58 fof(f206,plain,(
% 0.30/0.58 ~spl0_2|~spl0_14|~spl0_0|~spl0_15),
% 0.30/0.58 inference(split_clause,[status(thm)],[f205,f116,f195,f109,f198])).
% 0.30/0.58 fof(f207,plain,(
% 0.30/0.58 spl0_16 <=> ~in(sk0_0(X0,sk0_2),relation_field(sk0_2))|is_reflexive_in(sk0_2,X0)),
% 0.30/0.58 introduced(split_symbol_definition)).
% 0.30/0.58 fof(f208,plain,(
% 0.30/0.58 ![X0]: (~in(sk0_0(X0,sk0_2),relation_field(sk0_2))|is_reflexive_in(sk0_2,X0)|~spl0_16)),
% 0.30/0.58 inference(component_clause,[status(thm)],[f207])).
% 0.30/0.58 fof(f210,plain,(
% 0.30/0.58 ![X0]: (~in(sk0_0(X0,sk0_2),relation_field(sk0_2))|~relation(sk0_2)|is_reflexive_in(sk0_2,X0)|~spl0_1)),
% 0.30/0.58 inference(resolution,[status(thm)],[f113,f54])).
% 0.30/0.58 fof(f211,plain,(
% 0.30/0.58 spl0_16|~spl0_14|~spl0_1),
% 0.30/0.58 inference(split_clause,[status(thm)],[f210,f207,f195,f112])).
% 0.30/0.58 fof(f218,plain,(
% 0.30/0.58 spl0_18 <=> is_reflexive_in(sk0_2,relation_field(sk0_2))),
% 0.30/0.58 introduced(split_symbol_definition)).
% 0.30/0.58 fof(f219,plain,(
% 0.30/0.58 is_reflexive_in(sk0_2,relation_field(sk0_2))|~spl0_18),
% 0.30/0.58 inference(component_clause,[status(thm)],[f218])).
% 0.30/0.58 fof(f221,plain,(
% 0.30/0.58 is_reflexive_in(sk0_2,relation_field(sk0_2))|~relation(sk0_2)|is_reflexive_in(sk0_2,relation_field(sk0_2))|~spl0_16),
% 0.30/0.58 inference(resolution,[status(thm)],[f208,f53])).
% 0.30/0.58 fof(f222,plain,(
% 0.30/0.58 spl0_18|~spl0_14|~spl0_16),
% 0.30/0.58 inference(split_clause,[status(thm)],[f221,f218,f195,f207])).
% 0.30/0.58 fof(f224,plain,(
% 0.30/0.58 ~relation(sk0_2)|reflexive(sk0_2)|~spl0_18),
% 0.30/0.58 inference(resolution,[status(thm)],[f219,f61])).
% 0.30/0.58 fof(f225,plain,(
% 0.30/0.58 ~spl0_14|spl0_0|~spl0_18),
% 0.30/0.58 inference(split_clause,[status(thm)],[f224,f195,f109,f218])).
% 0.30/0.58 fof(f226,plain,(
% 0.30/0.58 $false),
% 0.30/0.58 inference(sat_refutation,[status(thm)],[f115,f119,f123,f143,f161,f176,f178,f202,f204,f206,f211,f222,f225])).
% 0.30/0.58 % SZS output end CNFRefutation for theBenchmark.p
% 0.30/0.58 % Elapsed time: 0.021998 seconds
% 0.30/0.58 % CPU time: 0.035720 seconds
% 0.30/0.58 % Memory used: 14.586 MB
%------------------------------------------------------------------------------