TSTP Solution File: RNG102+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n012.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 13:55:17 EDT 2023

% Result   : Theorem 3.32s 1.15s
% Output   : CNFRefutation 3.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   16 (   6 unt;   0 def)
%            Number of atoms       :   45 (  17 equ)
%            Maximal formula atoms :    7 (   2 avg)
%            Number of connectives :   37 (   8   ~;   3   |;  24   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   6 con; 0-2 aty)
%            Number of variables   :   11 (   0 sgn;   2   !;   8   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f39,axiom,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xx
        & aElement0(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).

fof(f41,conjecture,
    ? [X0] :
      ( sdtasdt0(xc,X0) = xy
      & aElement0(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f42,negated_conjecture,
    ~ ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) ),
    inference(negated_conjecture,[],[f41]) ).

fof(f50,plain,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
    & aElementOf0(xx,slsdtgt0(xc))
    & ? [X1] :
        ( xx = sdtasdt0(xc,X1)
        & aElement0(X1) ) ),
    inference(rectify,[],[f39]) ).

fof(f101,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xy
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f154,plain,
    ( ? [X0] :
        ( sdtasdt0(xc,X0) = xy
        & aElement0(X0) )
   => ( xy = sdtasdt0(xc,sK22)
      & aElement0(sK22) ) ),
    introduced(choice_axiom,[]) ).

fof(f155,plain,
    ( ? [X1] :
        ( xx = sdtasdt0(xc,X1)
        & aElement0(X1) )
   => ( xx = sdtasdt0(xc,sK23)
      & aElement0(sK23) ) ),
    introduced(choice_axiom,[]) ).

fof(f156,plain,
    ( aElement0(xz)
    & aElementOf0(xy,slsdtgt0(xc))
    & xy = sdtasdt0(xc,sK22)
    & aElement0(sK22)
    & aElementOf0(xx,slsdtgt0(xc))
    & xx = sdtasdt0(xc,sK23)
    & aElement0(sK23) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f50,f155,f154]) ).

fof(f250,plain,
    aElement0(sK22),
    inference(cnf_transformation,[],[f156]) ).

fof(f251,plain,
    xy = sdtasdt0(xc,sK22),
    inference(cnf_transformation,[],[f156]) ).

fof(f256,plain,
    ! [X0] :
      ( sdtasdt0(xc,X0) != xy
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_141,plain,
    sdtasdt0(xc,sK22) = xy,
    inference(cnf_transformation,[],[f251]) ).

cnf(c_142,plain,
    aElement0(sK22),
    inference(cnf_transformation,[],[f250]) ).

cnf(c_148,negated_conjecture,
    ( sdtasdt0(xc,X0) != xy
    | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f256]) ).

cnf(c_6617,plain,
    ~ aElement0(sK22),
    inference(superposition,[status(thm)],[c_141,c_148]) ).

cnf(c_6618,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6617,c_142]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG102+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n012.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 : Sun Aug 27 02:28:40 EDT 2023
% 0.13/0.34  % 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
% 3.32/1.15  % SZS status Started for theBenchmark.p
% 3.32/1.15  % SZS status Theorem for theBenchmark.p
% 3.32/1.15  
% 3.32/1.15  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.32/1.15  
% 3.32/1.15  ------  iProver source info
% 3.32/1.15  
% 3.32/1.15  git: date: 2023-05-31 18:12:56 +0000
% 3.32/1.15  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.32/1.15  git: non_committed_changes: false
% 3.32/1.15  git: last_make_outside_of_git: false
% 3.32/1.15  
% 3.32/1.15  ------ Parsing...
% 3.32/1.15  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.32/1.15  
% 3.32/1.15  ------ 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 
% 3.32/1.15  
% 3.32/1.15  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.32/1.15  
% 3.32/1.15  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.32/1.15  ------ Proving...
% 3.32/1.15  ------ Problem Properties 
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  clauses                                 95
% 3.32/1.15  conjectures                             1
% 3.32/1.15  EPR                                     17
% 3.32/1.15  Horn                                    72
% 3.32/1.15  unary                                   13
% 3.32/1.15  binary                                  15
% 3.32/1.15  lits                                    331
% 3.32/1.15  lits eq                                 46
% 3.32/1.15  fd_pure                                 0
% 3.32/1.15  fd_pseudo                               0
% 3.32/1.15  fd_cond                                 3
% 3.32/1.15  fd_pseudo_cond                          11
% 3.32/1.15  AC symbols                              0
% 3.32/1.15  
% 3.32/1.15  ------ Schedule dynamic 5 is on 
% 3.32/1.15  
% 3.32/1.15  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  ------ 
% 3.32/1.15  Current options:
% 3.32/1.15  ------ 
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  ------ Proving...
% 3.32/1.15  
% 3.32/1.15  
% 3.32/1.15  % SZS status Theorem for theBenchmark.p
% 3.32/1.15  
% 3.32/1.15  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.32/1.15  
% 3.32/1.15  
%------------------------------------------------------------------------------