TSTP Solution File: NUM561+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n011.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 11:31:28 EDT 2023

% Result   : Theorem 0.50s 1.18s
% Output   : CNFRefutation 0.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    2
% Syntax   : Number of formulae    :   10 (   5 unt;   0 def)
%            Number of atoms       :   18 (   5 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   17 (   9   ~;   5   |;   3   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   2 con; 0-2 aty)
%            Number of variables   :    5 (   0 sgn;   2   !;   2   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f70,axiom,
    aElementOf0(xx,szDzozmdt0(xF)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).

fof(f71,conjecture,
    ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
    | ? [X0] :
        ( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
        & aElementOf0(X0,szDzozmdt0(xF)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f72,negated_conjecture,
    ~ ( aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
      | ? [X0] :
          ( sdtlpdtrp0(xF,X0) = sdtlpdtrp0(xF,xx)
          & aElementOf0(X0,szDzozmdt0(xF)) ) ),
    inference(negated_conjecture,[],[f71]) ).

fof(f173,plain,
    ( ~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF)))
    & ! [X0] :
        ( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
        | ~ aElementOf0(X0,szDzozmdt0(xF)) ) ),
    inference(ennf_transformation,[],[f72]) ).

fof(f379,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f70]) ).

fof(f380,plain,
    ! [X0] :
      ( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
      | ~ aElementOf0(X0,szDzozmdt0(xF)) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_180,plain,
    aElementOf0(xx,szDzozmdt0(xF)),
    inference(cnf_transformation,[],[f379]) ).

cnf(c_182,negated_conjecture,
    ( sdtlpdtrp0(xF,X0) != sdtlpdtrp0(xF,xx)
    | ~ aElementOf0(X0,szDzozmdt0(xF)) ),
    inference(cnf_transformation,[],[f380]) ).

cnf(c_14372,plain,
    ~ aElementOf0(xx,szDzozmdt0(xF)),
    inference(equality_resolution,[status(thm)],[c_182]) ).

cnf(c_14373,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_14372,c_180]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem  : NUM561+2 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.35  % Computer : n011.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 300
% 0.14/0.35  % DateTime : Fri Aug 25 14:06:23 EDT 2023
% 0.14/0.35  % CPUTime  : 
% 0.21/0.48  Running first-order theorem proving
% 0.21/0.48  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.50/1.18  % SZS status Started for theBenchmark.p
% 0.50/1.18  % SZS status Theorem for theBenchmark.p
% 0.50/1.18  
% 0.50/1.18  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 0.50/1.18  
% 0.50/1.18  ------  iProver source info
% 0.50/1.18  
% 0.50/1.18  git: date: 2023-05-31 18:12:56 +0000
% 0.50/1.18  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 0.50/1.18  git: non_committed_changes: false
% 0.50/1.18  git: last_make_outside_of_git: false
% 0.50/1.18  
% 0.50/1.18  ------ Parsing...
% 0.50/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.50/1.18  
% 0.50/1.18  ------ 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: 2 0s  sf_e  pe_s  pe_e 
% 0.50/1.18  
% 0.50/1.18  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 0.50/1.18  
% 0.50/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 0.50/1.18  ------ Proving...
% 0.50/1.18  ------ Problem Properties 
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  clauses                                 131
% 0.50/1.18  conjectures                             2
% 0.50/1.18  EPR                                     29
% 0.50/1.18  Horn                                    96
% 0.50/1.18  unary                                   12
% 0.50/1.18  binary                                  22
% 0.50/1.18  lits                                    461
% 0.50/1.18  lits eq                                 70
% 0.50/1.18  fd_pure                                 0
% 0.50/1.18  fd_pseudo                               0
% 0.50/1.18  fd_cond                                 10
% 0.50/1.18  fd_pseudo_cond                          24
% 0.50/1.18  AC symbols                              0
% 0.50/1.18  
% 0.50/1.18  ------ Schedule dynamic 5 is on 
% 0.50/1.18  
% 0.50/1.18  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  ------ 
% 0.50/1.18  Current options:
% 0.50/1.18  ------ 
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  ------ Proving...
% 0.50/1.18  
% 0.50/1.18  
% 0.50/1.18  % SZS status Theorem for theBenchmark.p
% 0.50/1.18  
% 0.50/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.50/1.18  
% 0.50/1.18  
%------------------------------------------------------------------------------