TSTP Solution File: NUM618+1 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n032.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 : Thu Aug 31 11:31:54 EDT 2023

% Result   : Theorem 3.68s 1.04s
% Output   : CNFRefutation 3.68s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   20 (   6 unt;   0 def)
%            Number of atoms       :   44 (  13 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   39 (  15   ~;   9   |;  13   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   5 con; 0-2 aty)
%            Number of variables   :   16 (   0 sgn;   8   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f97,axiom,
    ! [X0] :
      ( aElementOf0(X0,xO)
     => ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4982) ).

fof(f114,axiom,
    ( aElementOf0(xx,xO)
    & aElementOf0(xx,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).

fof(f115,conjecture,
    ? [X0] :
      ( sdtlpdtrp0(xe,X0) = xx
      & aElementOf0(X0,szNzAzT0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f116,negated_conjecture,
    ~ ? [X0] :
        ( sdtlpdtrp0(xe,X0) = xx
        & aElementOf0(X0,szNzAzT0) ),
    inference(negated_conjecture,[],[f115]) ).

fof(f246,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(ennf_transformation,[],[f97]) ).

fof(f247,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(ennf_transformation,[],[f116]) ).

fof(f337,plain,
    ! [X0] :
      ( ? [X1] :
          ( sdtlpdtrp0(xe,X1) = X0
          & aElementOf0(X1,sdtlbdtrb0(xd,szDzizrdt0(xd)))
          & aElementOf0(X1,szNzAzT0) )
     => ( sdtlpdtrp0(xe,sK28(X0)) = X0
        & aElementOf0(sK28(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK28(X0),szNzAzT0) ) ),
    introduced(choice_axiom,[]) ).

fof(f338,plain,
    ! [X0] :
      ( ( sdtlpdtrp0(xe,sK28(X0)) = X0
        & aElementOf0(sK28(X0),sdtlbdtrb0(xd,szDzizrdt0(xd)))
        & aElementOf0(sK28(X0),szNzAzT0) )
      | ~ aElementOf0(X0,xO) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f246,f337]) ).

fof(f534,plain,
    ! [X0] :
      ( aElementOf0(sK28(X0),szNzAzT0)
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f536,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,sK28(X0)) = X0
      | ~ aElementOf0(X0,xO) ),
    inference(cnf_transformation,[],[f338]) ).

fof(f558,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f114]) ).

fof(f559,plain,
    ! [X0] :
      ( sdtlpdtrp0(xe,X0) != xx
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f247]) ).

cnf(c_244,plain,
    ( ~ aElementOf0(X0,xO)
    | sdtlpdtrp0(xe,sK28(X0)) = X0 ),
    inference(cnf_transformation,[],[f536]) ).

cnf(c_246,plain,
    ( ~ aElementOf0(X0,xO)
    | aElementOf0(sK28(X0),szNzAzT0) ),
    inference(cnf_transformation,[],[f534]) ).

cnf(c_267,plain,
    aElementOf0(xx,xO),
    inference(cnf_transformation,[],[f558]) ).

cnf(c_269,negated_conjecture,
    ( sdtlpdtrp0(xe,X0) != xx
    | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f559]) ).

cnf(c_19056,plain,
    sdtlpdtrp0(xe,sK28(xx)) = xx,
    inference(superposition,[status(thm)],[c_267,c_244]) ).

cnf(c_19094,plain,
    ~ aElementOf0(sK28(xx),szNzAzT0),
    inference(superposition,[status(thm)],[c_19056,c_269]) ).

cnf(c_19095,plain,
    ~ aElementOf0(xx,xO),
    inference(superposition,[status(thm)],[c_246,c_19094]) ).

cnf(c_19096,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_19095,c_267]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10  % Problem  : NUM618+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 300
% 0.11/0.31  % DateTime : Fri Aug 25 12:50:12 EDT 2023
% 0.11/0.31  % CPUTime  : 
% 0.16/0.40  Running first-order theorem proving
% 0.16/0.40  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.68/1.04  % SZS status Started for theBenchmark.p
% 3.68/1.04  % SZS status Theorem for theBenchmark.p
% 3.68/1.04  
% 3.68/1.04  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.68/1.04  
% 3.68/1.04  ------  iProver source info
% 3.68/1.04  
% 3.68/1.04  git: date: 2023-05-31 18:12:56 +0000
% 3.68/1.04  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.68/1.04  git: non_committed_changes: false
% 3.68/1.04  git: last_make_outside_of_git: false
% 3.68/1.04  
% 3.68/1.04  ------ Parsing...
% 3.68/1.04  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.68/1.04  
% 3.68/1.04  ------ Preprocessing... sup_sim: 3  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 3.68/1.04  
% 3.68/1.04  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.68/1.04  
% 3.68/1.04  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.68/1.04  ------ Proving...
% 3.68/1.04  ------ Problem Properties 
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  clauses                                 216
% 3.68/1.04  conjectures                             1
% 3.68/1.04  EPR                                     56
% 3.68/1.04  Horn                                    177
% 3.68/1.04  unary                                   57
% 3.68/1.04  binary                                  33
% 3.68/1.04  lits                                    672
% 3.68/1.04  lits eq                                 110
% 3.68/1.04  fd_pure                                 0
% 3.68/1.04  fd_pseudo                               0
% 3.68/1.04  fd_cond                                 10
% 3.68/1.04  fd_pseudo_cond                          25
% 3.68/1.04  AC symbols                              0
% 3.68/1.04  
% 3.68/1.04  ------ Schedule dynamic 5 is on 
% 3.68/1.04  
% 3.68/1.04  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  ------ 
% 3.68/1.04  Current options:
% 3.68/1.04  ------ 
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  ------ Proving...
% 3.68/1.04  
% 3.68/1.04  
% 3.68/1.04  % SZS status Theorem for theBenchmark.p
% 3.68/1.04  
% 3.68/1.04  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.68/1.04  
% 3.68/1.04  
%------------------------------------------------------------------------------