TSTP Solution File: SEU353+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n020.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 12:36:47 EDT 2023
% Result : Theorem 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SEU353+1 : TPTP v8.1.2. Released v3.3.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 09:17:43 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.5.1
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% 0.14/0.37 fof(f10,axiom,(
% 0.14/0.37 (! [A] :( one_sorted_str(A)=> identity_on_carrier(A) = identity_as_relation_of(the_carrier(A)) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f15,axiom,(
% 0.14/0.37 (! [A] :( v1_partfun1(identity_as_relation_of(A),A,A)& relation_of2_as_subset(identity_as_relation_of(A),A,A) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f17,axiom,(
% 0.14/0.37 (! [A] :( one_sorted_str(A)=> ( function(identity_on_carrier(A))& quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A))& relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A)) ) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f24,axiom,(
% 0.14/0.37 (? [A] : one_sorted_str(A) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f28,axiom,(
% 0.14/0.37 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> ~ empty(the_carrier(A)) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f31,axiom,(
% 0.14/0.37 (! [A] :( relation(identity_relation(A))& function(identity_relation(A))& reflexive(identity_relation(A))& symmetric(identity_relation(A))& antisymmetric(identity_relation(A))& transitive(identity_relation(A)) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f42,axiom,(
% 0.14/0.37 (? [A] :( one_sorted_str(A)& ~ empty_carrier(A) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f44,axiom,(
% 0.14/0.37 (! [A] : identity_as_relation_of(A) = identity_relation(A) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f45,axiom,(
% 0.14/0.37 (! [A,B,C,D] :( ( ~ empty(A)& function(C)& quasi_total(C,A,B)& relation_of2(C,A,B)& element(D,A) )=> apply_as_element(A,B,C,D) = apply(C,D) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f46,axiom,(
% 0.14/0.37 (! [A,B,C] :( relation_of2_as_subset(C,A,B)<=> relation_of2(C,A,B) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f49,axiom,(
% 0.14/0.37 (! [A,B] :( element(A,B)=> ( empty(B)| in(A,B) ) ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f50,axiom,(
% 0.14/0.37 (! [A,B] :( in(B,A)=> apply(identity_relation(A),B) = B ) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f57,conjecture,(
% 0.14/0.37 (! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,the_carrier(A))=> apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B ) )) )),
% 0.14/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.14/0.37 fof(f58,negated_conjecture,(
% 0.14/0.37 ~((! [A] :( ( ~ empty_carrier(A)& one_sorted_str(A) )=> (! [B] :( element(B,the_carrier(A))=> apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B) = B ) )) ))),
% 0.14/0.37 inference(negated_conjecture,[status(cth)],[f57])).
% 0.14/0.37 fof(f95,plain,(
% 0.14/0.37 ![A]: (~one_sorted_str(A)|identity_on_carrier(A)=identity_as_relation_of(the_carrier(A)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f10])).
% 0.14/0.37 fof(f96,plain,(
% 0.14/0.37 ![X0]: (~one_sorted_str(X0)|identity_on_carrier(X0)=identity_as_relation_of(the_carrier(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f95])).
% 0.14/0.37 fof(f97,plain,(
% 0.14/0.37 (![A]: v1_partfun1(identity_as_relation_of(A),A,A))&(![A]: relation_of2_as_subset(identity_as_relation_of(A),A,A))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f15])).
% 0.14/0.37 fof(f99,plain,(
% 0.14/0.37 ![X0]: (relation_of2_as_subset(identity_as_relation_of(X0),X0,X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f97])).
% 0.14/0.37 fof(f101,plain,(
% 0.14/0.37 ![A]: (~one_sorted_str(A)|((function(identity_on_carrier(A))&quasi_total(identity_on_carrier(A),the_carrier(A),the_carrier(A)))&relation_of2_as_subset(identity_on_carrier(A),the_carrier(A),the_carrier(A))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f17])).
% 0.14/0.37 fof(f103,plain,(
% 0.14/0.37 ![X0]: (~one_sorted_str(X0)|quasi_total(identity_on_carrier(X0),the_carrier(X0),the_carrier(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f101])).
% 0.14/0.37 fof(f109,plain,(
% 0.14/0.37 one_sorted_str(sk0_0)),
% 0.14/0.37 inference(skolemization,[status(esa)],[f24])).
% 0.14/0.37 fof(f110,plain,(
% 0.14/0.37 one_sorted_str(sk0_0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f109])).
% 0.14/0.37 fof(f117,plain,(
% 0.14/0.37 ![A]: ((empty_carrier(A)|~one_sorted_str(A))|~empty(the_carrier(A)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f28])).
% 0.14/0.37 fof(f118,plain,(
% 0.14/0.37 ![X0]: (empty_carrier(X0)|~one_sorted_str(X0)|~empty(the_carrier(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f117])).
% 0.14/0.37 fof(f121,plain,(
% 0.14/0.37 (((((![A]: relation(identity_relation(A)))&(![A]: function(identity_relation(A))))&(![A]: reflexive(identity_relation(A))))&(![A]: symmetric(identity_relation(A))))&(![A]: antisymmetric(identity_relation(A))))&(![A]: transitive(identity_relation(A)))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f31])).
% 0.14/0.37 fof(f123,plain,(
% 0.14/0.37 ![X0]: (function(identity_relation(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.37 fof(f124,plain,(
% 0.14/0.37 ![X0]: (reflexive(identity_relation(X0)))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f121])).
% 0.14/0.37 fof(f171,plain,(
% 0.14/0.37 (one_sorted_str(sk0_13)&~empty_carrier(sk0_13))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f42])).
% 0.14/0.37 fof(f172,plain,(
% 0.14/0.37 one_sorted_str(sk0_13)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f171])).
% 0.14/0.37 fof(f173,plain,(
% 0.14/0.37 ~empty_carrier(sk0_13)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f171])).
% 0.14/0.37 fof(f178,plain,(
% 0.14/0.37 ![X0]: (identity_as_relation_of(X0)=identity_relation(X0))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f44])).
% 0.14/0.37 fof(f179,plain,(
% 0.14/0.37 ![A,B,C,D]: (((((empty(A)|~function(C))|~quasi_total(C,A,B))|~relation_of2(C,A,B))|~element(D,A))|apply_as_element(A,B,C,D)=apply(C,D))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f45])).
% 0.14/0.37 fof(f180,plain,(
% 0.14/0.37 ![X0,X1,X2,X3]: (empty(X0)|~function(X1)|~quasi_total(X1,X0,X2)|~relation_of2(X1,X0,X2)|~element(X3,X0)|apply_as_element(X0,X2,X1,X3)=apply(X1,X3))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f179])).
% 0.14/0.37 fof(f181,plain,(
% 0.14/0.37 ![A,B,C]: ((~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B))&(relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.14/0.37 inference(NNF_transformation,[status(esa)],[f46])).
% 0.14/0.37 fof(f182,plain,(
% 0.14/0.37 (![A,B,C]: (~relation_of2_as_subset(C,A,B)|relation_of2(C,A,B)))&(![A,B,C]: (relation_of2_as_subset(C,A,B)|~relation_of2(C,A,B)))),
% 0.14/0.37 inference(miniscoping,[status(esa)],[f181])).
% 0.14/0.37 fof(f183,plain,(
% 0.14/0.37 ![X0,X1,X2]: (~relation_of2_as_subset(X0,X1,X2)|relation_of2(X0,X1,X2))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f182])).
% 0.14/0.37 fof(f189,plain,(
% 0.14/0.37 ![A,B]: (~element(A,B)|(empty(B)|in(A,B)))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f49])).
% 0.14/0.37 fof(f190,plain,(
% 0.14/0.37 ![X0,X1]: (~element(X0,X1)|empty(X1)|in(X0,X1))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f189])).
% 0.14/0.37 fof(f191,plain,(
% 0.14/0.37 ![A,B]: (~in(B,A)|apply(identity_relation(A),B)=B)),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f50])).
% 0.14/0.37 fof(f192,plain,(
% 0.14/0.37 ![X0,X1]: (~in(X0,X1)|apply(identity_relation(X1),X0)=X0)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f191])).
% 0.14/0.37 fof(f211,plain,(
% 0.14/0.37 (?[A]: ((~empty_carrier(A)&one_sorted_str(A))&(?[B]: (element(B,the_carrier(A))&~apply_as_element(the_carrier(A),the_carrier(A),identity_on_carrier(A),B)=B))))),
% 0.14/0.37 inference(pre_NNF_transformation,[status(esa)],[f58])).
% 0.14/0.37 fof(f212,plain,(
% 0.14/0.37 ((~empty_carrier(sk0_15)&one_sorted_str(sk0_15))&(element(sk0_16,the_carrier(sk0_15))&~apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),sk0_16)=sk0_16))),
% 0.14/0.37 inference(skolemization,[status(esa)],[f211])).
% 0.14/0.37 fof(f213,plain,(
% 0.14/0.37 ~empty_carrier(sk0_15)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f212])).
% 0.14/0.37 fof(f214,plain,(
% 0.14/0.37 one_sorted_str(sk0_15)),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f212])).
% 0.14/0.37 fof(f215,plain,(
% 0.14/0.37 element(sk0_16,the_carrier(sk0_15))),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f212])).
% 0.14/0.37 fof(f216,plain,(
% 0.14/0.37 ~apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),sk0_16)=sk0_16),
% 0.14/0.37 inference(cnf_transformation,[status(esa)],[f212])).
% 0.14/0.37 fof(f222,plain,(
% 0.14/0.37 ![X0]: (reflexive(identity_as_relation_of(X0)))),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f178,f124])).
% 0.14/0.37 fof(f223,plain,(
% 0.14/0.37 ![X0]: (function(identity_as_relation_of(X0)))),
% 0.14/0.37 inference(backward_demodulation,[status(thm)],[f178,f123])).
% 0.14/0.37 fof(f281,plain,(
% 0.14/0.37 ![X0]: (relation_of2(identity_as_relation_of(X0),X0,X0))),
% 0.14/0.37 inference(resolution,[status(thm)],[f183,f99])).
% 0.14/0.37 fof(f305,plain,(
% 0.14/0.37 identity_on_carrier(sk0_13)=identity_as_relation_of(the_carrier(sk0_13))),
% 0.14/0.37 inference(resolution,[status(thm)],[f96,f172])).
% 0.14/0.37 fof(f307,plain,(
% 0.14/0.37 identity_on_carrier(sk0_15)=identity_as_relation_of(the_carrier(sk0_15))),
% 0.14/0.37 inference(resolution,[status(thm)],[f96,f214])).
% 0.14/0.37 fof(f313,plain,(
% 0.14/0.37 reflexive(identity_on_carrier(sk0_13))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f305,f222])).
% 0.14/0.37 fof(f319,plain,(
% 0.14/0.37 relation_of2(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f307,f281])).
% 0.14/0.37 fof(f323,plain,(
% 0.14/0.37 function(identity_on_carrier(sk0_15))),
% 0.14/0.37 inference(paramodulation,[status(thm)],[f307,f223])).
% 0.14/0.37 fof(f328,plain,(
% 0.14/0.37 spl0_2 <=> empty(the_carrier(sk0_15))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f329,plain,(
% 0.14/0.37 empty(the_carrier(sk0_15))|~spl0_2),
% 0.14/0.37 inference(component_clause,[status(thm)],[f328])).
% 0.14/0.37 fof(f331,plain,(
% 0.14/0.37 spl0_3 <=> function(identity_on_carrier(sk0_15))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f333,plain,(
% 0.14/0.37 ~function(identity_on_carrier(sk0_15))|spl0_3),
% 0.14/0.37 inference(component_clause,[status(thm)],[f331])).
% 0.14/0.37 fof(f334,plain,(
% 0.14/0.37 spl0_4 <=> quasi_total(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f335,plain,(
% 0.14/0.37 quasi_total(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))|~spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f334])).
% 0.14/0.37 fof(f336,plain,(
% 0.14/0.37 ~quasi_total(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))|spl0_4),
% 0.14/0.37 inference(component_clause,[status(thm)],[f334])).
% 0.14/0.37 fof(f353,plain,(
% 0.14/0.37 spl0_9 <=> relation_of2(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f355,plain,(
% 0.14/0.37 ~relation_of2(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))|spl0_9),
% 0.14/0.37 inference(component_clause,[status(thm)],[f353])).
% 0.14/0.37 fof(f365,plain,(
% 0.14/0.37 $false|spl0_9),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f355,f319])).
% 0.14/0.37 fof(f366,plain,(
% 0.14/0.37 spl0_9),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f365])).
% 0.14/0.37 fof(f367,plain,(
% 0.14/0.37 $false|spl0_3),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f333,f323])).
% 0.14/0.37 fof(f368,plain,(
% 0.14/0.37 spl0_3),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f367])).
% 0.14/0.37 fof(f369,plain,(
% 0.14/0.37 ~one_sorted_str(sk0_15)|spl0_4),
% 0.14/0.37 inference(resolution,[status(thm)],[f336,f103])).
% 0.14/0.37 fof(f370,plain,(
% 0.14/0.37 $false|spl0_4),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f369,f214])).
% 0.14/0.37 fof(f371,plain,(
% 0.14/0.37 spl0_4),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f370])).
% 0.14/0.37 fof(f372,plain,(
% 0.14/0.37 spl0_11 <=> empty_carrier(sk0_15)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f373,plain,(
% 0.14/0.37 empty_carrier(sk0_15)|~spl0_11),
% 0.14/0.37 inference(component_clause,[status(thm)],[f372])).
% 0.14/0.37 fof(f375,plain,(
% 0.14/0.37 spl0_12 <=> one_sorted_str(sk0_15)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f377,plain,(
% 0.14/0.37 ~one_sorted_str(sk0_15)|spl0_12),
% 0.14/0.37 inference(component_clause,[status(thm)],[f375])).
% 0.14/0.37 fof(f378,plain,(
% 0.14/0.37 empty_carrier(sk0_15)|~one_sorted_str(sk0_15)|~spl0_2),
% 0.14/0.37 inference(resolution,[status(thm)],[f329,f118])).
% 0.14/0.37 fof(f379,plain,(
% 0.14/0.37 spl0_11|~spl0_12|~spl0_2),
% 0.14/0.37 inference(split_clause,[status(thm)],[f378,f372,f375,f328])).
% 0.14/0.37 fof(f390,plain,(
% 0.14/0.37 $false|spl0_12),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f377,f214])).
% 0.14/0.37 fof(f391,plain,(
% 0.14/0.37 spl0_12),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f390])).
% 0.14/0.37 fof(f392,plain,(
% 0.14/0.37 $false|~spl0_11),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f373,f213])).
% 0.14/0.37 fof(f393,plain,(
% 0.14/0.37 ~spl0_11),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f392])).
% 0.14/0.37 fof(f408,plain,(
% 0.14/0.37 spl0_15 <=> one_sorted_str(sk0_13)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f410,plain,(
% 0.14/0.37 ~one_sorted_str(sk0_13)|spl0_15),
% 0.14/0.37 inference(component_clause,[status(thm)],[f408])).
% 0.14/0.37 fof(f420,plain,(
% 0.14/0.37 $false|spl0_15),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f410,f172])).
% 0.14/0.37 fof(f421,plain,(
% 0.14/0.37 spl0_15),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f420])).
% 0.14/0.37 fof(f422,plain,(
% 0.14/0.37 spl0_18 <=> empty_carrier(sk0_13)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f423,plain,(
% 0.14/0.37 empty_carrier(sk0_13)|~spl0_18),
% 0.14/0.37 inference(component_clause,[status(thm)],[f422])).
% 0.14/0.37 fof(f437,plain,(
% 0.14/0.37 $false|~spl0_18),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f423,f173])).
% 0.14/0.37 fof(f438,plain,(
% 0.14/0.37 ~spl0_18),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f437])).
% 0.14/0.37 fof(f464,plain,(
% 0.14/0.37 spl0_25 <=> reflexive(identity_on_carrier(sk0_13))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f466,plain,(
% 0.14/0.37 ~reflexive(identity_on_carrier(sk0_13))|spl0_25),
% 0.14/0.37 inference(component_clause,[status(thm)],[f464])).
% 0.14/0.37 fof(f485,plain,(
% 0.14/0.37 $false|spl0_25),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f466,f313])).
% 0.14/0.37 fof(f486,plain,(
% 0.14/0.37 spl0_25),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f485])).
% 0.14/0.37 fof(f539,plain,(
% 0.14/0.37 spl0_32 <=> one_sorted_str(sk0_0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f541,plain,(
% 0.14/0.37 ~one_sorted_str(sk0_0)|spl0_32),
% 0.14/0.37 inference(component_clause,[status(thm)],[f539])).
% 0.14/0.37 fof(f550,plain,(
% 0.14/0.37 $false|spl0_32),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f541,f110])).
% 0.14/0.37 fof(f551,plain,(
% 0.14/0.37 spl0_32),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f550])).
% 0.14/0.37 fof(f569,plain,(
% 0.14/0.37 spl0_36 <=> in(sk0_16,the_carrier(sk0_15))),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f570,plain,(
% 0.14/0.37 in(sk0_16,the_carrier(sk0_15))|~spl0_36),
% 0.14/0.37 inference(component_clause,[status(thm)],[f569])).
% 0.14/0.37 fof(f572,plain,(
% 0.14/0.37 empty(the_carrier(sk0_15))|in(sk0_16,the_carrier(sk0_15))),
% 0.14/0.37 inference(resolution,[status(thm)],[f190,f215])).
% 0.14/0.37 fof(f573,plain,(
% 0.14/0.37 spl0_2|spl0_36),
% 0.14/0.37 inference(split_clause,[status(thm)],[f572,f328,f569])).
% 0.14/0.37 fof(f587,plain,(
% 0.14/0.37 ![X0,X1]: (~in(X0,X1)|apply(identity_as_relation_of(X1),X0)=X0)),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f178,f192])).
% 0.14/0.37 fof(f600,plain,(
% 0.14/0.37 spl0_37 <=> ~element(X0,the_carrier(sk0_15))|apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),X0)=apply(identity_on_carrier(sk0_15),X0)),
% 0.14/0.37 introduced(split_symbol_definition)).
% 0.14/0.37 fof(f601,plain,(
% 0.14/0.37 ![X0]: (~element(X0,the_carrier(sk0_15))|apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),X0)=apply(identity_on_carrier(sk0_15),X0)|~spl0_37)),
% 0.14/0.37 inference(component_clause,[status(thm)],[f600])).
% 0.14/0.37 fof(f603,plain,(
% 0.14/0.37 ![X0]: (empty(the_carrier(sk0_15))|~function(identity_on_carrier(sk0_15))|~relation_of2(identity_on_carrier(sk0_15),the_carrier(sk0_15),the_carrier(sk0_15))|~element(X0,the_carrier(sk0_15))|apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),X0)=apply(identity_on_carrier(sk0_15),X0)|~spl0_4)),
% 0.14/0.37 inference(resolution,[status(thm)],[f180,f335])).
% 0.14/0.37 fof(f604,plain,(
% 0.14/0.37 spl0_2|~spl0_3|~spl0_9|spl0_37|~spl0_4),
% 0.14/0.37 inference(split_clause,[status(thm)],[f603,f328,f331,f353,f600,f334])).
% 0.14/0.37 fof(f613,plain,(
% 0.14/0.37 apply(identity_as_relation_of(the_carrier(sk0_15)),sk0_16)=sk0_16|~spl0_36),
% 0.14/0.37 inference(resolution,[status(thm)],[f570,f587])).
% 0.14/0.37 fof(f614,plain,(
% 0.14/0.37 apply(identity_on_carrier(sk0_15),sk0_16)=sk0_16|~spl0_36),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f307,f613])).
% 0.14/0.37 fof(f619,plain,(
% 0.14/0.37 apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),sk0_16)=apply(identity_on_carrier(sk0_15),sk0_16)|~spl0_37),
% 0.14/0.37 inference(resolution,[status(thm)],[f601,f215])).
% 0.14/0.37 fof(f620,plain,(
% 0.14/0.37 apply_as_element(the_carrier(sk0_15),the_carrier(sk0_15),identity_on_carrier(sk0_15),sk0_16)=sk0_16|~spl0_36|~spl0_37),
% 0.14/0.37 inference(forward_demodulation,[status(thm)],[f614,f619])).
% 0.14/0.37 fof(f621,plain,(
% 0.14/0.37 $false|~spl0_36|~spl0_37),
% 0.14/0.37 inference(forward_subsumption_resolution,[status(thm)],[f620,f216])).
% 0.14/0.37 fof(f622,plain,(
% 0.14/0.37 ~spl0_36|~spl0_37),
% 0.14/0.37 inference(contradiction_clause,[status(thm)],[f621])).
% 0.14/0.37 fof(f623,plain,(
% 0.14/0.37 $false),
% 0.14/0.37 inference(sat_refutation,[status(thm)],[f366,f368,f371,f379,f391,f393,f421,f438,f486,f551,f573,f604,f622])).
% 0.14/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.29/0.59 % Elapsed time: 0.021936 seconds
% 0.29/0.59 % CPU time: 0.076968 seconds
% 0.29/0.59 % Memory used: 15.493 MB
%------------------------------------------------------------------------------