TSTP Solution File: NUM622+3 by iProver---3.8

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%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM622+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 11:31:56 EDT 2023

% Result   : Theorem 7.34s 1.67s
% Output   : CNFRefutation 7.34s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   22 (  12 unt;   0 def)
%            Number of atoms       :   47 (   8 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   37 (  12   ~;   8   |;  14   &)
%                                         (   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    :   12 (  12 usr;   7 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/sandbox/benchmark/theBenchmark.p',m__4660) ).

fof(f111,axiom,
    ( xp = sdtlpdtrp0(xe,xn)
    & aElementOf0(xn,szNzAzT0)
    & aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
    & szDzizrdt0(xd) = sdtlpdtrp0(xd,xn)
    & aElementOf0(xn,szDzozmdt0(xd)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5309) ).

fof(f118,axiom,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xn))
       => aElementOf0(X0,sdtlpdtrp0(xN,xm)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5461) ).

fof(f119,conjecture,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f120,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(negated_conjecture,[],[f119]) ).

fof(f143,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(flattening,[],[f120]) ).

fof(f266,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(f283,plain,
    ( aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm))
    & ! [X0] :
        ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
        | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ) ),
    inference(ennf_transformation,[],[f118]) ).

fof(f869,plain,
    ! [X0] :
      ( aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0))
      | ~ aElementOf0(X0,szNzAzT0) ),
    inference(cnf_transformation,[],[f266]) ).

fof(f947,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f111]) ).

fof(f948,plain,
    xp = sdtlpdtrp0(xe,xn),
    inference(cnf_transformation,[],[f111]) ).

fof(f963,plain,
    ! [X0] :
      ( aElementOf0(X0,sdtlpdtrp0(xN,xm))
      | ~ aElementOf0(X0,sdtlpdtrp0(xN,xn)) ),
    inference(cnf_transformation,[],[f283]) ).

fof(f965,plain,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f143]) ).

cnf(c_400,plain,
    ( ~ aElementOf0(X0,szNzAzT0)
    | aElementOf0(sdtlpdtrp0(xe,X0),sdtlpdtrp0(xN,X0)) ),
    inference(cnf_transformation,[],[f869]) ).

cnf(c_475,plain,
    sdtlpdtrp0(xe,xn) = xp,
    inference(cnf_transformation,[],[f948]) ).

cnf(c_476,plain,
    aElementOf0(xn,szNzAzT0),
    inference(cnf_transformation,[],[f947]) ).

cnf(c_495,plain,
    ( ~ aElementOf0(X0,sdtlpdtrp0(xN,xn))
    | aElementOf0(X0,sdtlpdtrp0(xN,xm)) ),
    inference(cnf_transformation,[],[f963]) ).

cnf(c_496,negated_conjecture,
    ~ aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(cnf_transformation,[],[f965]) ).

cnf(c_32819,plain,
    ( ~ aElementOf0(xn,szNzAzT0)
    | aElementOf0(xp,sdtlpdtrp0(xN,xn)) ),
    inference(superposition,[status(thm)],[c_475,c_400]) ).

cnf(c_32830,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xn)),
    inference(forward_subsumption_resolution,[status(thm)],[c_32819,c_476]) ).

cnf(c_32962,plain,
    aElementOf0(xp,sdtlpdtrp0(xN,xm)),
    inference(superposition,[status(thm)],[c_32830,c_495]) ).

cnf(c_32963,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_32962,c_496]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : NUM622+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : run_iprover %s %d THM
% 0.17/0.35  % Computer : n022.cluster.edu
% 0.17/0.35  % Model    : x86_64 x86_64
% 0.17/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.35  % Memory   : 8042.1875MB
% 0.17/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.35  % CPULimit : 300
% 0.17/0.35  % WCLimit  : 300
% 0.17/0.35  % DateTime : Fri Aug 25 10:44:10 EDT 2023
% 0.17/0.35  % CPUTime  : 
% 0.20/0.48  Running first-order theorem proving
% 0.20/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 7.34/1.67  % SZS status Started for theBenchmark.p
% 7.34/1.67  % SZS status Theorem for theBenchmark.p
% 7.34/1.67  
% 7.34/1.67  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 7.34/1.67  
% 7.34/1.67  ------  iProver source info
% 7.34/1.67  
% 7.34/1.67  git: date: 2023-05-31 18:12:56 +0000
% 7.34/1.67  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 7.34/1.67  git: non_committed_changes: false
% 7.34/1.67  git: last_make_outside_of_git: false
% 7.34/1.67  
% 7.34/1.67  ------ Parsing...
% 7.34/1.67  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 7.34/1.67  
% 7.34/1.67  ------ Preprocessing... sup_sim: 16  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 
% 7.34/1.67  
% 7.34/1.67  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 7.34/1.67  
% 7.34/1.67  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 7.34/1.67  ------ Proving...
% 7.34/1.67  ------ Problem Properties 
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  clauses                                 401
% 7.34/1.67  conjectures                             1
% 7.34/1.67  EPR                                     81
% 7.34/1.67  Horn                                    326
% 7.34/1.67  unary                                   77
% 7.34/1.67  binary                                  105
% 7.34/1.67  lits                                    1205
% 7.34/1.67  lits eq                                 176
% 7.34/1.67  fd_pure                                 0
% 7.34/1.67  fd_pseudo                               0
% 7.34/1.67  fd_cond                                 11
% 7.34/1.67  fd_pseudo_cond                          39
% 7.34/1.67  AC symbols                              0
% 7.34/1.67  
% 7.34/1.67  ------ Schedule dynamic 5 is on 
% 7.34/1.67  
% 7.34/1.67  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  ------ 
% 7.34/1.67  Current options:
% 7.34/1.67  ------ 
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  ------ Proving...
% 7.34/1.67  
% 7.34/1.67  
% 7.34/1.67  % SZS status Theorem for theBenchmark.p
% 7.34/1.67  
% 7.34/1.67  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.34/1.67  
% 7.34/1.67  
%------------------------------------------------------------------------------