TSTP Solution File: RNG072+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n002.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 3.05s 1.16s
% Output   : CNFRefutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   37 (  19 unt;   0 def)
%            Number of atoms       :   96 (   3 equ)
%            Maximal formula atoms :    8 (   2 avg)
%            Number of connectives :  113 (  54   ~;  46   |;  10   &)
%                                         (   0 <=>;   3  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;  10 con; 0-2 aty)
%            Number of variables   :   30 (   0 sgn;  24   !;   0   ?)

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

fof(f24,axiom,
    ! [X0,X1,X2,X3] :
      ( ( aScalar0(X3)
        & aScalar0(X2)
        & aScalar0(X1)
        & aScalar0(X0) )
     => ( ( sdtlseqdt0(X2,X3)
          & sdtlseqdt0(sz0z00,X2)
          & sdtlseqdt0(X0,X1) )
       => sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLEMonM) ).

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

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

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

fof(f61,axiom,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2610) ).

fof(f62,axiom,
    ( sdtlseqdt0(sz0z00,sdtpldt0(xP,xP))
    & sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2628) ).

fof(f63,conjecture,
    sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

fof(f64,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(negated_conjecture,[],[f63]) ).

fof(f70,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(flattening,[],[f64]) ).

fof(f77,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f10]) ).

fof(f78,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f77]) ).

fof(f100,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(ennf_transformation,[],[f24]) ).

fof(f101,plain,
    ! [X0,X1,X2,X3] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(flattening,[],[f100]) ).

fof(f140,plain,
    ! [X0,X1] :
      ( aScalar0(sdtpldt0(X0,X1))
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f78]) ).

fof(f165,plain,
    ! [X2,X3,X0,X1] :
      ( sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3))
      | ~ sdtlseqdt0(X2,X3)
      | ~ sdtlseqdt0(sz0z00,X2)
      | ~ sdtlseqdt0(X0,X1)
      | ~ aScalar0(X3)
      | ~ aScalar0(X2)
      | ~ aScalar0(X1)
      | ~ aScalar0(X0) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f208,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f52]) ).

fof(f210,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f53]) ).

fof(f212,plain,
    aScalar0(xS),
    inference(cnf_transformation,[],[f54]) ).

fof(f221,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f61]) ).

fof(f222,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f62]) ).

fof(f224,plain,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(cnf_transformation,[],[f70]) ).

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

cnf(c_82,plain,
    ( ~ sdtlseqdt0(X0,X1)
    | ~ sdtlseqdt0(X2,X3)
    | ~ sdtlseqdt0(sz0z00,X2)
    | ~ aScalar0(X0)
    | ~ aScalar0(X1)
    | ~ aScalar0(X2)
    | ~ aScalar0(X3)
    | sdtlseqdt0(sdtasdt0(X0,X2),sdtasdt0(X1,X3)) ),
    inference(cnf_transformation,[],[f165]) ).

cnf(c_126,plain,
    aScalar0(xR),
    inference(cnf_transformation,[],[f208]) ).

cnf(c_128,plain,
    aScalar0(xP),
    inference(cnf_transformation,[],[f210]) ).

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

cnf(c_138,plain,
    sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP)),
    inference(cnf_transformation,[],[f221]) ).

cnf(c_140,plain,
    sdtlseqdt0(sz0z00,sdtpldt0(xR,xS)),
    inference(cnf_transformation,[],[f222]) ).

cnf(c_141,negated_conjecture,
    ~ sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))),
    inference(cnf_transformation,[],[f224]) ).

cnf(c_3200,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP))
    | sdtlseqdt0(sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)),sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP))) ),
    inference(instantiation,[status(thm)],[c_82]) ).

cnf(c_3990,plain,
    ( ~ aScalar0(xR)
    | ~ aScalar0(xS)
    | aScalar0(sdtpldt0(xR,xS)) ),
    inference(instantiation,[status(thm)],[c_57]) ).

cnf(c_6174,plain,
    ( ~ sdtlseqdt0(sdtpldt0(xR,xS),sdtpldt0(xP,xP))
    | ~ sdtlseqdt0(sz0z00,sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(superposition,[status(thm)],[c_82,c_141]) ).

cnf(c_6175,plain,
    ( ~ aScalar0(sdtpldt0(xR,xS))
    | ~ aScalar0(sdtpldt0(xP,xP)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6174,c_140,c_138]) ).

cnf(c_6830,plain,
    ~ aScalar0(sdtpldt0(xP,xP)),
    inference(global_subsumption_just,[status(thm)],[c_6175,c_130,c_126,c_140,c_138,c_141,c_3200,c_3990]) ).

cnf(c_6832,plain,
    ~ aScalar0(xP),
    inference(superposition,[status(thm)],[c_57,c_6830]) ).

cnf(c_6833,plain,
    $false,
    inference(forward_subsumption_resolution,[status(thm)],[c_6832,c_128]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : RNG072+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n002.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 02:53:18 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.19/0.46  Running first-order theorem proving
% 0.19/0.46  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 3.05/1.16  % SZS status Started for theBenchmark.p
% 3.05/1.16  % SZS status Theorem for theBenchmark.p
% 3.05/1.16  
% 3.05/1.16  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 3.05/1.16  
% 3.05/1.16  ------  iProver source info
% 3.05/1.16  
% 3.05/1.16  git: date: 2023-05-31 18:12:56 +0000
% 3.05/1.16  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 3.05/1.16  git: non_committed_changes: false
% 3.05/1.16  git: last_make_outside_of_git: false
% 3.05/1.16  
% 3.05/1.16  ------ Parsing...
% 3.05/1.16  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.05/1.16  
% 3.05/1.16  ------ Preprocessing... sup_sim: 1  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 
% 3.05/1.16  
% 3.05/1.16  ------ Preprocessing... gs_s  sp: 4 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.05/1.16  
% 3.05/1.16  ------ Preprocessing... sf_s  rm: 4 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.05/1.16  ------ Proving...
% 3.05/1.16  ------ Problem Properties 
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  clauses                                 95
% 3.05/1.16  conjectures                             1
% 3.05/1.16  EPR                                     25
% 3.05/1.16  Horn                                    83
% 3.05/1.16  unary                                   44
% 3.05/1.16  binary                                  17
% 3.05/1.16  lits                                    227
% 3.05/1.16  lits eq                                 67
% 3.05/1.16  fd_pure                                 0
% 3.05/1.16  fd_pseudo                               0
% 3.05/1.16  fd_cond                                 1
% 3.05/1.16  fd_pseudo_cond                          5
% 3.05/1.16  AC symbols                              0
% 3.05/1.16  
% 3.05/1.16  ------ Schedule dynamic 5 is on 
% 3.05/1.16  
% 3.05/1.16  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  ------ 
% 3.05/1.16  Current options:
% 3.05/1.16  ------ 
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  ------ Proving...
% 3.05/1.16  
% 3.05/1.16  
% 3.05/1.16  % SZS status Theorem for theBenchmark.p
% 3.05/1.16  
% 3.05/1.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.05/1.16  
% 3.05/1.16  
%------------------------------------------------------------------------------