TSTP Solution File: NUM604+3 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 11:31:48 EDT 2023

% Result   : Theorem 7.15s 1.65s
% Output   : CNFRefutation 7.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   21 (  10 unt;   0 def)
%            Number of atoms       :   44 (   7 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   36 (  13   ~;   9   |;  11   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :   10 (   0 sgn;   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f91,axiom,
    ( ! [X0] :
        ( aElementOf0(X0,szNzAzT0)
       => ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( aElementOf0(X1,sdtlpdtrp0(xN,X0))
             => sdtlseqdt0(sdtlpdtrp0(xe,X0),X1) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).

fof(f99,axiom,
    ( xx = sdtlpdtrp0(xe,xi)
    & aElementOf0(xi,szNzAzT0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5034) ).

fof(f100,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xi))
       => aElementOf0(X0,xS) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5045) ).

fof(f101,conjecture,
    aElementOf0(xx,xS),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f102,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(negated_conjecture,[],[f101]) ).

fof(f122,plain,
    ~ aElementOf0(xx,xS),
    inference(flattening,[],[f102]) ).

fof(f245,plain,
    ( ! [X0] :
        ( ( szmzizndt0(sdtlpdtrp0(xN,X0)) = sdtlpdtrp0(xe,X0)
          & ! [X1] :
              ( sdtlseqdt0(sdtlpdtrp0(xe,X0),X1)
              | ~ aElementOf0(X1,sdtlpdtrp0(xN,X0)) )
          & aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) )
        | ~ aElementOf0(X0,szNzAzT0) )
    & szNzAzT0 = szDzozmdt0(xe)
    & aFunction0(xe) ),
    inference(ennf_transformation,[],[f91]) ).

fof(f250,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xi),xS)
    & ! [X0] :
        ( aElementOf0(X0,xS)
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ) ),
    inference(ennf_transformation,[],[f100]) ).

fof(f828,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f245]) ).

fof(f870,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f99]) ).

fof(f871,plain,
    xx = sdtlpdtrp0(xe,xi),
    inference(cnf_transformation,[],[f99]) ).

fof(f872,plain,
    ! [X0] :
      ( aElementOf0(X0,xS)
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xi)) ),
    inference(cnf_transformation,[],[f250]) ).

fof(f874,plain,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f122]) ).

cnf(c_400,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f828]) ).

cnf(c_442,plain,
    sdtlpdtrp0(xe,xi) = xx,
    inference(cnf_transformation,[],[f871]) ).

cnf(c_443,plain,
    aElementOf0(xi,szNzAzT0),
    inference(cnf_transformation,[],[f870]) ).

cnf(c_445,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xi))
    | aElementOf0(X0,xS) ),
    inference(cnf_transformation,[],[f872]) ).

cnf(c_446,negated_conjecture,
    ~ aElementOf0(xx,xS),
    inference(cnf_transformation,[],[f874]) ).

cnf(c_32169,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,xi),xS) ),
    inference(superposition,[status(thm)],[c_400,c_445]) ).

cnf(c_32171,plain,
    ( ~ aElementOf0(xi,szNzAzT0)
    | aElementOf0(xx,xS) ),
    inference(light_normalisation,[status(thm)],[c_32169,c_442]) ).

cnf(c_32172,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_32171,c_446,c_443]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM604+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n002.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 13:50:02 EDT 2023
% 0.19/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 7.15/1.65  % SZS status Started for theBenchmark.p
% 7.15/1.65  % SZS status Theorem for theBenchmark.p
% 7.15/1.65  
% 7.15/1.65  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.15/1.65  
% 7.15/1.65  ------  iProver source info
% 7.15/1.65  
% 7.15/1.65  git: date: 2023-05-31 18:12:56 +0000
% 7.15/1.65  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.15/1.65  git: non_committed_changes: false
% 7.15/1.65  git: last_make_outside_of_git: false
% 7.15/1.65  
% 7.15/1.65  ------ Parsing...
% 7.15/1.65  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.15/1.65  
% 7.15/1.65  ------ Preprocessing... sup_sim: 9  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e  sup_sim: 0  sf_s  rm: 4 0s  sf_e  pe_s  pe_e 
% 7.15/1.65  
% 7.15/1.65  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.15/1.65  
% 7.15/1.65  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.15/1.65  ------ Proving...
% 7.15/1.65  ------ Problem Properties 
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  clauses                                 359
% 7.15/1.65  conjectures                             1
% 7.15/1.65  EPR                                     56
% 7.15/1.65  Horn                                    285
% 7.15/1.65  unary                                   45
% 7.15/1.65  binary                                  96
% 7.15/1.65  lits                                    1151
% 7.15/1.65  lits eq                                 166
% 7.15/1.65  fd_pure                                 0
% 7.15/1.65  fd_pseudo                               0
% 7.15/1.65  fd_cond                                 10
% 7.15/1.65  fd_pseudo_cond                          39
% 7.15/1.65  AC symbols                              0
% 7.15/1.65  
% 7.15/1.65  ------ Schedule dynamic 5 is on 
% 7.15/1.65  
% 7.15/1.65  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  ------ 
% 7.15/1.65  Current options:
% 7.15/1.65  ------ 
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  ------ Proving...
% 7.15/1.65  
% 7.15/1.65  
% 7.15/1.65  % SZS status Theorem for theBenchmark.p
% 7.15/1.65  
% 7.15/1.65  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.15/1.65  
% 7.15/1.65  
%------------------------------------------------------------------------------