TSTP Solution File: NUM548+3 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 11:31:22 EDT 2023

% Result   : Theorem 3.08s 1.17s
% Output   : CNFRefutation 3.08s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  13 unt;   0 def)
%            Number of atoms       :   45 (   4 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   39 (  15   ~;  11   |;   9   &)
%                                         (   2 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   4 con; 0-2 aty)
%            Number of variables   :    7 (   0 sgn;   6   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f41,axiom,
    ! [X0] :
      ( aSet0(X0)
     => ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).

fof(f61,axiom,
    aElementOf0(xk,szNzAzT0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).

fof(f65,axiom,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => aElementOf0(X0,xS) )
    & aSet0(xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).

fof(f66,conjecture,
    isFinite0(xQ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f67,negated_conjecture,
    ~ isFinite0(xQ),
    inference(negated_conjecture,[],[f66]) ).

fof(f75,plain,
    ~ isFinite0(xQ),
    inference(flattening,[],[f67]) ).

fof(f125,plain,
    ! [X0] :
      ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
      <=> isFinite0(X0) )
      | ~ aSet0(X0) ),
    inference(ennf_transformation,[],[f41]) ).

fof(f160,plain,
    ( aElementOf0(xQ,slbdtsldtrb0(xS,xk))
    & xk = sbrdtbr0(xQ)
    & aSubsetOf0(xQ,xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,xQ) )
    & aSet0(xQ) ),
    inference(ennf_transformation,[],[f65]) ).

fof(f192,plain,
    ! [X0] :
      ( ( ( aElementOf0(sbrdtbr0(X0),szNzAzT0)
          | ~ isFinite0(X0) )
        & ( isFinite0(X0)
          | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0) ) )
      | ~ aSet0(X0) ),
    inference(nnf_transformation,[],[f125]) ).

fof(f291,plain,
    ! [X0] :
      ( isFinite0(X0)
      | ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
      | ~ aSet0(X0) ),
    inference(cnf_transformation,[],[f192]) ).

fof(f336,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f61]) ).

fof(f368,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f160]) ).

fof(f371,plain,
    xk = sbrdtbr0(xQ),
    inference(cnf_transformation,[],[f160]) ).

fof(f373,plain,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[],[f75]) ).

cnf(c_114,plain,
    ( ~ aElementOf0(sbrdtbr0(X0),szNzAzT0)
    | ~ aSet0(X0)
    | isFinite0(X0) ),
    inference(cnf_transformation,[],[f291]) ).

cnf(c_158,plain,
    aElementOf0(xk,szNzAzT0),
    inference(cnf_transformation,[],[f336]) ).

cnf(c_191,plain,
    sbrdtbr0(xQ) = xk,
    inference(cnf_transformation,[],[f371]) ).

cnf(c_194,plain,
    aSet0(xQ),
    inference(cnf_transformation,[],[f368]) ).

cnf(c_195,negated_conjecture,
    ~ isFinite0(xQ),
    inference(cnf_transformation,[],[f373]) ).

cnf(c_11416,plain,
    ( ~ aElementOf0(xk,szNzAzT0)
    | ~ aSet0(xQ)
    | isFinite0(xQ) ),
    inference(superposition,[status(thm)],[c_191,c_114]) ).

cnf(c_11417,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_11416,c_195,c_194,c_158]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM548+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 300
% 0.13/0.34  % DateTime : Fri Aug 25 14:25:22 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.08/1.17  % SZS status Started for theBenchmark.p
% 3.08/1.17  % SZS status Theorem for theBenchmark.p
% 3.08/1.17  
% 3.08/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.08/1.17  
% 3.08/1.17  ------  iProver source info
% 3.08/1.17  
% 3.08/1.17  git: date: 2023-05-31 18:12:56 +0000
% 3.08/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.08/1.17  git: non_committed_changes: false
% 3.08/1.17  git: last_make_outside_of_git: false
% 3.08/1.17  
% 3.08/1.17  ------ Parsing...
% 3.08/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.08/1.17  
% 3.08/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sup_sim: 0  sf_s  rm: 1 0s  sf_e  pe_s  pe_e 
% 3.08/1.17  
% 3.08/1.17  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.08/1.17  
% 3.08/1.17  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.08/1.17  ------ Proving...
% 3.08/1.17  ------ Problem Properties 
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  clauses                                 140
% 3.08/1.17  conjectures                             1
% 3.08/1.17  EPR                                     38
% 3.08/1.17  Horn                                    107
% 3.08/1.17  unary                                   24
% 3.08/1.17  binary                                  24
% 3.08/1.17  lits                                    444
% 3.08/1.17  lits eq                                 68
% 3.08/1.17  fd_pure                                 0
% 3.08/1.17  fd_pseudo                               0
% 3.08/1.17  fd_cond                                 9
% 3.08/1.17  fd_pseudo_cond                          18
% 3.08/1.17  AC symbols                              0
% 3.08/1.17  
% 3.08/1.17  ------ Schedule dynamic 5 is on 
% 3.08/1.17  
% 3.08/1.17  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  ------ 
% 3.08/1.17  Current options:
% 3.08/1.17  ------ 
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  ------ Proving...
% 3.08/1.17  
% 3.08/1.17  
% 3.08/1.17  % SZS status Theorem for theBenchmark.p
% 3.08/1.17  
% 3.08/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.08/1.17  
% 3.08/1.17  
%------------------------------------------------------------------------------