TSTP Solution File: RNG070+2 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n006.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 13:55:04 EDT 2023

% Result   : Theorem 2.70s 1.16s
% Output   : CNFRefutation 2.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   33 (  16 unt;   0 def)
%            Number of atoms       :   66 (   3 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   65 (  32   ~;  26   |;   5   &)
%                                         (   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    :   11 (  11 usr;   9 con; 0-2 aty)
%            Number of variables   :   20 (   0 sgn;  16   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f10,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => aScalar0(sdtpldt0(X0,X1)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSumSc) ).

fof(f25,axiom,
    ! [X0,X1] :
      ( ( aScalar0(X1)
        & aScalar0(X0) )
     => ( sdtlseqdt0(X1,X0)
        | sdtlseqdt0(X0,X1) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLETot) ).

fof(f52,axiom,
    ( xR = sdtasdt0(xC,xG)
    & aScalar0(xR) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).

fof(f53,axiom,
    ( xP = sdtasdt0(xE,xH)
    & aScalar0(xP) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).

fof(f54,axiom,
    ( xS = sdtasdt0(xF,xD)
    & aScalar0(xS) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).

fof(f60,axiom,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2590) ).

fof(f61,conjecture,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).

fof(f62,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(negated_conjecture,[],[f61]) ).

fof(f68,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(flattening,[],[f62]) ).

fof(f75,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f76,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f75]) ).

fof(f100,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f25]) ).

fof(f101,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f76]) ).

fof(f166,plain,
    ! [X0,X1] :
      ( sdtlseqdt0(X1,X0)
      | sdtlseqdt0(X0,X1)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f212,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f214,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f216,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f224,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f60]) ).

fof(f225,plain,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f68]) ).

cnf(c_57,plain,
    ( ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | aScalar0(sdtpldt0(X0,X1)) ),
    inference(cnf_transformation,[],[f140]) ).

cnf(c_83,plain,
    ( ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | sdtlseqdt0(X0,X1)
    | sdtlseqdt0(X1,X0) ),
    inference(cnf_transformation,[],[f166]) ).

cnf(c_130,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f212]) ).

cnf(c_132,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f214]) ).

cnf(c_134,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f216]) ).

cnf(c_141,plain,
    ~ sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_142,negated_conjecture,
    ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f225]) ).

cnf(c_3443,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtpldt0(xP,xP),sdtpldt0(xR,xS)) ),
    inference(superposition,[status(thm)],[c_83,c_142]) ).

cnf(c_3446,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_3443,c_141]) ).

cnf(c_3485,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(xP) ),
    inference(superposition,[status(thm)],[c_57,c_3446]) ).

cnf(c_3486,plain,
    ~ aScalar0(sdtpldt0(xR,xS)),
    inference(forward_subsumption_resolution,[status(thm)],[c_3485,c_132]) ).

cnf(c_3487,plain,
    ( ~ aScalar0(xR)
    | ~ aScalar0(xS) ),
    inference(superposition,[status(thm)],[c_57,c_3486]) ).

cnf(c_3488,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_3487,c_134,c_130]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : RNG070+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n006.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 01:45:37 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.47  Running first-order theorem proving
% 0.19/0.47  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 2.70/1.16  % SZS status Started for theBenchmark.p
% 2.70/1.16  % SZS status Theorem for theBenchmark.p
% 2.70/1.16  
% 2.70/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 2.70/1.16  
% 2.70/1.16  ------  iProver source info
% 2.70/1.16  
% 2.70/1.16  git: date: 2023-05-31 18:12:56 +0000
% 2.70/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 2.70/1.16  git: non_committed_changes: false
% 2.70/1.16  git: last_make_outside_of_git: false
% 2.70/1.16  
% 2.70/1.16  ------ Parsing...
% 2.70/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 2.70/1.16  
% 2.70/1.16  ------ Preprocessing... sup_sim: 2  sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe_e  sup_sim: 0  sf_s  rm: 2 0s  sf_e  pe_s  pe_e 
% 2.70/1.16  
% 2.70/1.16  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 2.70/1.16  
% 2.70/1.16  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 2.70/1.16  ------ Proving...
% 2.70/1.16  ------ Problem Properties 
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  clauses                                 96
% 2.70/1.16  conjectures                             1
% 2.70/1.16  EPR                                     25
% 2.70/1.16  Horn                                    84
% 2.70/1.16  unary                                   43
% 2.70/1.16  binary                                  19
% 2.70/1.16  lits                                    230
% 2.70/1.16  lits eq                                 71
% 2.70/1.16  fd_pure                                 0
% 2.70/1.16  fd_pseudo                               0
% 2.70/1.16  fd_cond                                 1
% 2.70/1.16  fd_pseudo_cond                          5
% 2.70/1.16  AC symbols                              0
% 2.70/1.16  
% 2.70/1.16  ------ Schedule dynamic 5 is on 
% 2.70/1.16  
% 2.70/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  ------ 
% 2.70/1.16  Current options:
% 2.70/1.16  ------ 
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  ------ Proving...
% 2.70/1.16  
% 2.70/1.16  
% 2.70/1.16  % SZS status Theorem for theBenchmark.p
% 2.70/1.16  
% 2.70/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 2.70/1.16  
% 2.70/1.16  
%------------------------------------------------------------------------------