TSTP Solution File: RNG095+2 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n028.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 : Fri May  3 02:57:37 EDT 2024

% Result   : Theorem 3.78s 1.23s
% Output   : CNFRefutation 3.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    4
% Syntax   : Number of formulae    :   25 (   7 unt;   0 def)
%            Number of atoms       :   62 (  14 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   64 (  27   ~;  18   |;  17   &)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :   28 (   0 sgn  11   !;  10   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3,axiom,
    aElement0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).

fof(f29,axiom,
    ! [X0] :
      ( aElement0(X0)
     => ( aElementOf0(X0,sdtpldt1(xI,xJ))
        & ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,xJ)
            & aElementOf0(X1,xI) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1205_03) ).

fof(f31,conjecture,
    ? [X0,X1] :
      ( sz10 = sdtpldt0(X0,X1)
      & aElementOf0(X1,xJ)
      & aElementOf0(X0,xI) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f32,negated_conjecture,
    ~ ? [X0,X1] :
        ( sz10 = sdtpldt0(X0,X1)
        & aElementOf0(X1,xJ)
        & aElementOf0(X0,xI) ),
    inference(negated_conjecture,[],[f31]) ).

fof(f75,plain,
    ! [X0] :
      ( ( aElementOf0(X0,sdtpldt1(xI,xJ))
        & ? [X1,X2] :
            ( sdtpldt0(X1,X2) = X0
            & aElementOf0(X2,xJ)
            & aElementOf0(X1,xI) ) )
      | ~ aElement0(X0) ),
    inference(ennf_transformation,[],[f29]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( sz10 != sdtpldt0(X0,X1)
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(ennf_transformation,[],[f32]) ).

fof(f104,plain,
    ! [X0] :
      ( ? [X1,X2] :
          ( sdtpldt0(X1,X2) = X0
          & aElementOf0(X2,xJ)
          & aElementOf0(X1,xI) )
     => ( sdtpldt0(sK13(X0),sK14(X0)) = X0
        & aElementOf0(sK14(X0),xJ)
        & aElementOf0(sK13(X0),xI) ) ),
    introduced(choice_axiom,[]) ).

fof(f105,plain,
    ! [X0] :
      ( ( aElementOf0(X0,sdtpldt1(xI,xJ))
        & sdtpldt0(sK13(X0),sK14(X0)) = X0
        & aElementOf0(sK14(X0),xJ)
        & aElementOf0(sK13(X0),xI) )
      | ~ aElement0(X0) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK13,sK14])],[f75,f104]) ).

fof(f107,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f3]) ).

fof(f173,plain,
    ! [X0] :
      ( aElementOf0(sK13(X0),xI)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f174,plain,
    ! [X0] :
      ( aElementOf0(sK14(X0),xJ)
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f175,plain,
    ! [X0] :
      ( sdtpldt0(sK13(X0),sK14(X0)) = X0
      | ~ aElement0(X0) ),
    inference(cnf_transformation,[],[f105]) ).

fof(f179,plain,
    ! [X0,X1] :
      ( sz10 != sdtpldt0(X0,X1)
      | ~ aElementOf0(X1,xJ)
      | ~ aElementOf0(X0,xI) ),
    inference(cnf_transformation,[],[f76]) ).

cnf(c_50,plain,
    aElement0(sz10),
    inference(cnf_transformation,[],[f107]) ).

cnf(c_117,plain,
    ( ~ aElement0(X0)
    | sdtpldt0(sK13(X0),sK14(X0)) = X0 ),
    inference(cnf_transformation,[],[f175]) ).

cnf(c_118,plain,
    ( ~ aElement0(X0)
    | aElementOf0(sK14(X0),xJ) ),
    inference(cnf_transformation,[],[f174]) ).

cnf(c_119,plain,
    ( ~ aElement0(X0)
    | aElementOf0(sK13(X0),xI) ),
    inference(cnf_transformation,[],[f173]) ).

cnf(c_122,negated_conjecture,
    ( sdtpldt0(X0,X1) != sz10
    | ~ aElementOf0(X0,xI)
    | ~ aElementOf0(X1,xJ) ),
    inference(cnf_transformation,[],[f179]) ).

cnf(c_3256,negated_conjecture,
    ( sdtpldt0(X0,X1) != sz10
    | ~ aElementOf0(X0,xI)
    | ~ aElementOf0(X1,xJ) ),
    inference(demodulation,[status(thm)],[c_122]) ).

cnf(c_5063,plain,
    sdtpldt0(sK13(sz10),sK14(sz10)) = sz10,
    inference(superposition,[status(thm)],[c_50,c_117]) ).

cnf(c_5504,plain,
    ( ~ aElementOf0(sK13(sz10),xI)
    | ~ aElementOf0(sK14(sz10),xJ) ),
    inference(superposition,[status(thm)],[c_5063,c_3256]) ).

cnf(c_5518,plain,
    ( ~ aElementOf0(sK13(sz10),xI)
    | ~ aElement0(sz10) ),
    inference(superposition,[status(thm)],[c_118,c_5504]) ).

cnf(c_5519,plain,
    ~ aElementOf0(sK13(sz10),xI),
    inference(forward_subsumption_resolution,[status(thm)],[c_5518,c_50]) ).

cnf(c_5653,plain,
    ~ aElement0(sz10),
    inference(superposition,[status(thm)],[c_119,c_5519]) ).

cnf(c_5654,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_5653,c_50]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : RNG095+2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.33  % Computer : n028.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 300
% 0.13/0.33  % DateTime : Thu May  2 21:40:18 EDT 2024
% 0.13/0.33  % CPUTime  : 
% 0.18/0.46  Running first-order theorem proving
% 0.18/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.78/1.23  % SZS status Started for theBenchmark.p
% 3.78/1.23  % SZS status Theorem for theBenchmark.p
% 3.78/1.23  
% 3.78/1.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.78/1.23  
% 3.78/1.23  ------  iProver source info
% 3.78/1.23  
% 3.78/1.23  git: date: 2024-05-02 19:28:25 +0000
% 3.78/1.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.78/1.23  git: non_committed_changes: false
% 3.78/1.23  
% 3.78/1.23  ------ Parsing...
% 3.78/1.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.78/1.23  
% 3.78/1.23  ------ 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: 1 0s  sf_e  pe_s  pe_e 
% 3.78/1.23  
% 3.78/1.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.78/1.23  
% 3.78/1.23  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.78/1.23  ------ Proving...
% 3.78/1.23  ------ Problem Properties 
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  clauses                                 71
% 3.78/1.23  conjectures                             1
% 3.78/1.23  EPR                                     12
% 3.78/1.23  Horn                                    58
% 3.78/1.23  unary                                   9
% 3.78/1.23  binary                                  17
% 3.78/1.23  lits                                    220
% 3.78/1.23  lits eq                                 33
% 3.78/1.23  fd_pure                                 0
% 3.78/1.23  fd_pseudo                               0
% 3.78/1.23  fd_cond                                 1
% 3.78/1.23  fd_pseudo_cond                          8
% 3.78/1.23  AC symbols                              0
% 3.78/1.23  
% 3.78/1.23  ------ Schedule dynamic 5 is on 
% 3.78/1.23  
% 3.78/1.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  ------ 
% 3.78/1.23  Current options:
% 3.78/1.23  ------ 
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  ------ Proving...
% 3.78/1.23  
% 3.78/1.23  
% 3.78/1.23  % SZS status Theorem for theBenchmark.p
% 3.78/1.23  
% 3.78/1.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.78/1.23  
% 3.78/1.23  
%------------------------------------------------------------------------------