%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n022.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 11:31:58 EDT 2023

% Result   : Theorem 1.26s 1.16s
% Output   : CNFRefutation 1.26s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   11 (   8 unt;   0 def)
%            Number of atoms       :   20 (  10 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   13 (   4   ~;   1   |;   7   &)
%                                         (   0 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    2 (   0 sgn;   2   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f103,axiom,
    ( xp = szmzizndt0(xQ)
    & ! [X0] :
        ( aElementOf0(X0,xQ)
       => sdtlseqdt0(xp,X0) )
    & aElementOf0(xp,xQ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).

fof(f113,axiom,
    ( aElementOf0(xx,xP)
    & szmzizndt0(xQ) != xx
    & aElementOf0(xx,xQ)
    & aElement0(xx) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5348) ).

fof(f120,axiom,
    xp = xx,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5496) ).

fof(f279,plain,
    ( xp = szmzizndt0(xQ)
    & ! [X0] :
        ( sdtlseqdt0(xp,X0)
        | ~ aElementOf0(X0,xQ) )
    & aElementOf0(xp,xQ) ),
    inference(ennf_transformation,[],[f103]) ).

fof(f929,plain,
    xp = szmzizndt0(xQ),
    inference(cnf_transformation,[],[f279]) ).

fof(f954,plain,
    szmzizndt0(xQ) != xx,
    inference(cnf_transformation,[],[f113]) ).

fof(f969,plain,
    xp = xx,
    inference(cnf_transformation,[],[f120]) ).

fof(f970,plain,
    szmzizndt0(xQ) = xx,
    inference(definition_unfolding,[],[f929,f969]) ).

cnf(c_456,plain,
    szmzizndt0(xQ) = xx,
    inference(cnf_transformation,[],[f970]) ).

cnf(c_482,plain,
    szmzizndt0(xQ) != xx,
    inference(cnf_transformation,[],[f954]) ).

cnf(c_501,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_482,c_456]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM625+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n022.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 13:58:40 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.21/0.47  Running first-order theorem proving
% 0.21/0.47  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.26/1.16  % SZS status Started for theBenchmark.p
% 1.26/1.16  % SZS status Theorem for theBenchmark.p
% 1.26/1.16  
% 1.26/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.26/1.16  
% 1.26/1.16  ------  iProver source info
% 1.26/1.16  
% 1.26/1.16  git: date: 2023-05-31 18:12:56 +0000
% 1.26/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.26/1.16  git: non_committed_changes: false
% 1.26/1.16  git: last_make_outside_of_git: false
% 1.26/1.16  
% 1.26/1.16  ------ Parsing...
% 1.26/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.26/1.16  
% 1.26/1.16  ------ Preprocessing...
% 1.26/1.16  
% 1.26/1.16  % SZS status Theorem for theBenchmark.p
% 1.26/1.16  
% 1.26/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.26/1.16  
% 1.26/1.16  
%------------------------------------------------------------------------------