TSTP Solution File: ITP236_1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : ITP236_1 : TPTP v8.1.2. Released v8.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n009.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 : Fri May  3 02:30:04 EDT 2024

% Result   : Theorem 36.44s 7.22s
% Output   : CNFRefutation 36.44s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   17 (  11 unt;   0 typ;   0 def)
%            Number of atoms       :   80 (   0 equ)
%            Maximal formula atoms :    2 (   4 avg)
%            Number of connectives :   14 (   8   ~;   3   |;   0   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of FOOLs       :   57 (  57 fml;   0 var)
%            Number of types       :    0 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   11 (  10 usr;   7 prp; 0-2 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    8 (   2 sgn   4   !;   2   ?;   6   :)

% Comments : 
%------------------------------------------------------------------------------
tff(f1,axiom,
    ? [X0: nat] : pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__092_060open_062_092_060exists_062x_O_Aboth__member__options_A_ItreeList_A_B_Amaxs_J_Ax_092_060close_062) ).

tff(f10555,axiom,
    ! [X3: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X3))
     => thesis ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).

tff(f10556,conjecture,
    thesis,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).

tff(f10557,negated_conjecture,
    ~ thesis,
    inference(negated_conjecture,[],[f10556]) ).

tff(f20729,plain,
    ! [X0: nat] :
      ( pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0))
     => thesis ),
    inference(rectify,[],[f10555]) ).

tff(f20730,plain,
    ~ thesis,
    inference(flattening,[],[f10557]) ).

tff(f28215,plain,
    ! [X0: nat] :
      ( thesis
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0)) ),
    inference(ennf_transformation,[],[f20729]) ).

tff(f28701,plain,
    ( ? [X0: nat] : pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0))
   => pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),sK318)) ),
    introduced(choice_axiom,[]) ).

tff(f28702,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),sK318)),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK318])],[f1,f28701]) ).

tff(f37919,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),sK318)),
    inference(cnf_transformation,[],[f28702]) ).

tff(f57134,plain,
    ! [X0: nat] :
      ( thesis
      | ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0)) ),
    inference(cnf_transformation,[],[f28215]) ).

tff(f57135,plain,
    ~ thesis,
    inference(cnf_transformation,[],[f20730]) ).

cnf(c_52,plain,
    pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),sK318)),
    inference(cnf_transformation,[],[f37919]) ).

cnf(c_18676,plain,
    ( ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0_651))
    | thesis ),
    inference(cnf_transformation,[],[f57134]) ).

cnf(c_18677,negated_conjecture,
    ~ thesis,
    inference(cnf_transformation,[],[f57135]) ).

cnf(c_27904,plain,
    ~ pp(aa_nat_bool(aa_VEB4832260192069861672t_bool(vEBT_V8194947554948674370ptions,nth_VEBT_VEBT(treeList,maxs)),X0_651)),
    inference(global_subsumption_just,[status(thm)],[c_18676,c_18677,c_18676]) ).

cnf(c_74214,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_52,c_27904]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : ITP236_1 : TPTP v8.1.2. Released v8.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.35  % Computer : n009.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu May  2 21:43:56 EDT 2024
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 36.44/7.22  % SZS status Started for theBenchmark.p
% 36.44/7.22  % SZS status Theorem for theBenchmark.p
% 36.44/7.22  
% 36.44/7.22  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 36.44/7.22  
% 36.44/7.22  ------  iProver source info
% 36.44/7.22  
% 36.44/7.22  git: date: 2024-05-02 19:28:25 +0000
% 36.44/7.22  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 36.44/7.22  git: non_committed_changes: false
% 36.44/7.22  
% 36.44/7.22  ------ Parsing...
% 36.44/7.22  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Global Options Modified: tff_prep: switching off prep_sem_filter, sub_typing, pure_diseq_elim
% 36.44/7.22  
% 36.44/7.22  
% 36.44/7.22  ------ Preprocessing...
% 36.44/7.22  
% 36.44/7.22  % SZS status Theorem for theBenchmark.p
% 36.44/7.22  
% 36.44/7.22  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 36.44/7.22  
% 36.44/7.22  
%------------------------------------------------------------------------------