TSTP Solution File: SWV384+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% 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 : Fri May  3 03:14:18 EDT 2024

% Result   : Theorem 3.83s 1.18s
% Output   : CNFRefutation 3.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   56 (   8 unt;   0 def)
%            Number of atoms       :  249 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives :  340 ( 147   ~; 137   |;  43   &)
%                                         (   0 <=>;  13  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   6 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   3 prp; 0-2 aty)
%            Number of functors    :   14 (  14 usr;  12 con; 0-3 aty)
%            Number of variables   :  201 (   0 sgn  99   !;  48   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f42,axiom,
    ( ! [X0,X1,X2,X3,X4,X5] :
        ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
       => ( ( ~ ok(triple(X3,X4,X5))
            | ~ check_cpq(triple(X3,X4,X5)) )
         => ( ~ ok(im_succ_cpq(triple(X3,X4,X5)))
            | ~ check_cpq(im_succ_cpq(triple(X3,X4,X5))) ) ) )
   => ! [X6,X7,X8] :
        ( ( ~ ok(triple(X6,X7,X8))
          | ~ check_cpq(triple(X6,X7,X8)) )
       => ! [X9,X10,X11] :
            ( succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11))
           => ( ~ check_cpq(triple(X9,X10,X11))
              | ~ ok(triple(X9,X10,X11)) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_induction) ).

fof(f43,axiom,
    ! [X0,X1,X2] :
      ( ( ~ ok(triple(X0,X1,X2))
        | ~ check_cpq(triple(X0,X1,X2)) )
     => ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
        | ~ check_cpq(im_succ_cpq(triple(X0,X1,X2))) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l12_l13) ).

fof(f44,conjecture,
    ! [X0,X1,X2] :
      ( ( ~ ok(triple(X0,X1,X2))
        | ~ check_cpq(triple(X0,X1,X2)) )
     => ! [X3,X4,X5] :
          ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
         => ( ~ check_cpq(triple(X3,X4,X5))
            | ~ ok(triple(X3,X4,X5)) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',l20_co) ).

fof(f45,negated_conjecture,
    ~ ! [X0,X1,X2] :
        ( ( ~ ok(triple(X0,X1,X2))
          | ~ check_cpq(triple(X0,X1,X2)) )
       => ! [X3,X4,X5] :
            ( succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
           => ( ~ check_cpq(triple(X3,X4,X5))
              | ~ ok(triple(X3,X4,X5)) ) ) ),
    inference(negated_conjecture,[],[f44]) ).

fof(f84,plain,
    ( ! [X6,X7,X8] :
        ( ! [X9,X10,X11] :
            ( ~ check_cpq(triple(X9,X10,X11))
            | ~ ok(triple(X9,X10,X11))
            | ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
        | ( ok(triple(X6,X7,X8))
          & check_cpq(triple(X6,X7,X8)) ) )
    | ? [X0,X1,X2,X3,X4,X5] :
        ( ok(im_succ_cpq(triple(X3,X4,X5)))
        & check_cpq(im_succ_cpq(triple(X3,X4,X5)))
        & ( ~ ok(triple(X3,X4,X5))
          | ~ check_cpq(triple(X3,X4,X5)) )
        & succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
    inference(ennf_transformation,[],[f42]) ).

fof(f85,plain,
    ( ! [X6,X7,X8] :
        ( ! [X9,X10,X11] :
            ( ~ check_cpq(triple(X9,X10,X11))
            | ~ ok(triple(X9,X10,X11))
            | ~ succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
        | ( ok(triple(X6,X7,X8))
          & check_cpq(triple(X6,X7,X8)) ) )
    | ? [X0,X1,X2,X3,X4,X5] :
        ( ok(im_succ_cpq(triple(X3,X4,X5)))
        & check_cpq(im_succ_cpq(triple(X3,X4,X5)))
        & ( ~ ok(triple(X3,X4,X5))
          | ~ check_cpq(triple(X3,X4,X5)) )
        & succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) ) ),
    inference(flattening,[],[f84]) ).

fof(f86,plain,
    ! [X0,X1,X2] :
      ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
      | ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
      | ( ok(triple(X0,X1,X2))
        & check_cpq(triple(X0,X1,X2)) ) ),
    inference(ennf_transformation,[],[f43]) ).

fof(f87,plain,
    ! [X0,X1,X2] :
      ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
      | ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
      | ( ok(triple(X0,X1,X2))
        & check_cpq(triple(X0,X1,X2)) ) ),
    inference(flattening,[],[f86]) ).

fof(f88,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( check_cpq(triple(X3,X4,X5))
          & ok(triple(X3,X4,X5))
          & succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
      & ( ~ ok(triple(X0,X1,X2))
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(ennf_transformation,[],[f45]) ).

fof(f89,plain,
    ? [X0,X1,X2] :
      ( ? [X3,X4,X5] :
          ( check_cpq(triple(X3,X4,X5))
          & ok(triple(X3,X4,X5))
          & succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
      & ( ~ ok(triple(X0,X1,X2))
        | ~ check_cpq(triple(X0,X1,X2)) ) ),
    inference(flattening,[],[f88]) ).

fof(f96,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3,X4,X5] :
            ( ~ check_cpq(triple(X3,X4,X5))
            | ~ ok(triple(X3,X4,X5))
            | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
        | ( ok(triple(X0,X1,X2))
          & check_cpq(triple(X0,X1,X2)) ) )
    | ? [X6,X7,X8,X9,X10,X11] :
        ( ok(im_succ_cpq(triple(X9,X10,X11)))
        & check_cpq(im_succ_cpq(triple(X9,X10,X11)))
        & ( ~ ok(triple(X9,X10,X11))
          | ~ check_cpq(triple(X9,X10,X11)) )
        & succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) ) ),
    inference(rectify,[],[f85]) ).

fof(f97,plain,
    ( ? [X6,X7,X8,X9,X10,X11] :
        ( ok(im_succ_cpq(triple(X9,X10,X11)))
        & check_cpq(im_succ_cpq(triple(X9,X10,X11)))
        & ( ~ ok(triple(X9,X10,X11))
          | ~ check_cpq(triple(X9,X10,X11)) )
        & succ_cpq(triple(X6,X7,X8),triple(X9,X10,X11)) )
   => ( ok(im_succ_cpq(triple(sK3,sK4,sK5)))
      & check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
      & ( ~ ok(triple(sK3,sK4,sK5))
        | ~ check_cpq(triple(sK3,sK4,sK5)) )
      & succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)) ) ),
    introduced(choice_axiom,[]) ).

fof(f98,plain,
    ( ! [X0,X1,X2] :
        ( ! [X3,X4,X5] :
            ( ~ check_cpq(triple(X3,X4,X5))
            | ~ ok(triple(X3,X4,X5))
            | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
        | ( ok(triple(X0,X1,X2))
          & check_cpq(triple(X0,X1,X2)) ) )
    | ( ok(im_succ_cpq(triple(sK3,sK4,sK5)))
      & check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
      & ( ~ ok(triple(sK3,sK4,sK5))
        | ~ check_cpq(triple(sK3,sK4,sK5)) )
      & succ_cpq(triple(sK0,sK1,sK2),triple(sK3,sK4,sK5)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f96,f97]) ).

fof(f99,plain,
    ( ? [X0,X1,X2] :
        ( ? [X3,X4,X5] :
            ( check_cpq(triple(X3,X4,X5))
            & ok(triple(X3,X4,X5))
            & succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5)) )
        & ( ~ ok(triple(X0,X1,X2))
          | ~ check_cpq(triple(X0,X1,X2)) ) )
   => ( ? [X5,X4,X3] :
          ( check_cpq(triple(X3,X4,X5))
          & ok(triple(X3,X4,X5))
          & succ_cpq(triple(sK6,sK7,sK8),triple(X3,X4,X5)) )
      & ( ~ ok(triple(sK6,sK7,sK8))
        | ~ check_cpq(triple(sK6,sK7,sK8)) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f100,plain,
    ( ? [X5,X4,X3] :
        ( check_cpq(triple(X3,X4,X5))
        & ok(triple(X3,X4,X5))
        & succ_cpq(triple(sK6,sK7,sK8),triple(X3,X4,X5)) )
   => ( check_cpq(triple(sK9,sK10,sK11))
      & ok(triple(sK9,sK10,sK11))
      & succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)) ) ),
    introduced(choice_axiom,[]) ).

fof(f101,plain,
    ( check_cpq(triple(sK9,sK10,sK11))
    & ok(triple(sK9,sK10,sK11))
    & succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11))
    & ( ~ ok(triple(sK6,sK7,sK8))
      | ~ check_cpq(triple(sK6,sK7,sK8)) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK6,sK7,sK8,sK9,sK10,sK11])],[f89,f100,f99]) ).

fof(f151,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | check_cpq(triple(X0,X1,X2))
      | ~ ok(triple(sK3,sK4,sK5))
      | ~ check_cpq(triple(sK3,sK4,sK5)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f152,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | check_cpq(triple(X0,X1,X2))
      | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5))) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f153,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | check_cpq(triple(X0,X1,X2))
      | ok(im_succ_cpq(triple(sK3,sK4,sK5))) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f155,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | ok(triple(X0,X1,X2))
      | ~ ok(triple(sK3,sK4,sK5))
      | ~ check_cpq(triple(sK3,sK4,sK5)) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f156,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | ok(triple(X0,X1,X2))
      | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5))) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f157,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ check_cpq(triple(X3,X4,X5))
      | ~ ok(triple(X3,X4,X5))
      | ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
      | ok(triple(X0,X1,X2))
      | ok(im_succ_cpq(triple(sK3,sK4,sK5))) ),
    inference(cnf_transformation,[],[f98]) ).

fof(f158,plain,
    ! [X2,X0,X1] :
      ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
      | ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
      | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f159,plain,
    ! [X2,X0,X1] :
      ( ~ ok(im_succ_cpq(triple(X0,X1,X2)))
      | ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
      | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f87]) ).

fof(f160,plain,
    ( ~ ok(triple(sK6,sK7,sK8))
    | ~ check_cpq(triple(sK6,sK7,sK8)) ),
    inference(cnf_transformation,[],[f101]) ).

fof(f161,plain,
    succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f101]) ).

fof(f162,plain,
    ok(triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f101]) ).

fof(f163,plain,
    check_cpq(triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f101]) ).

cnf(c_95,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f157]) ).

cnf(c_96,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
    | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f156]) ).

cnf(c_97,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ~ check_cpq(triple(sK3,sK4,sK5))
    | ~ ok(triple(sK3,sK4,sK5))
    | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f155]) ).

cnf(c_99,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f153]) ).

cnf(c_100,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f152]) ).

cnf(c_101,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ~ check_cpq(triple(sK3,sK4,sK5))
    | ~ ok(triple(sK3,sK4,sK5))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f151]) ).

cnf(c_103,plain,
    ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
    | ~ ok(im_succ_cpq(triple(X0,X1,X2)))
    | ok(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f159]) ).

cnf(c_104,plain,
    ( ~ check_cpq(im_succ_cpq(triple(X0,X1,X2)))
    | ~ ok(im_succ_cpq(triple(X0,X1,X2)))
    | check_cpq(triple(X0,X1,X2)) ),
    inference(cnf_transformation,[],[f158]) ).

cnf(c_105,negated_conjecture,
    check_cpq(triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f163]) ).

cnf(c_106,negated_conjecture,
    ok(triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f162]) ).

cnf(c_107,negated_conjecture,
    succ_cpq(triple(sK6,sK7,sK8),triple(sK9,sK10,sK11)),
    inference(cnf_transformation,[],[f161]) ).

cnf(c_108,negated_conjecture,
    ( ~ check_cpq(triple(sK6,sK7,sK8))
    | ~ ok(triple(sK6,sK7,sK8)) ),
    inference(cnf_transformation,[],[f160]) ).

cnf(c_1314,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ~ check_cpq(triple(X3,X4,X5))
    | check_cpq(triple(X0,X1,X2))
    | ~ sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP0_iProver_def])],[c_101]) ).

cnf(c_1315,plain,
    ( ~ check_cpq(triple(sK3,sK4,sK5))
    | ~ ok(triple(sK3,sK4,sK5))
    | sP0_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_101]) ).

cnf(c_1316,plain,
    ( ~ succ_cpq(triple(X0,X1,X2),triple(X3,X4,X5))
    | ~ ok(triple(X3,X4,X5))
    | ok(triple(X0,X1,X2))
    | ~ check_cpq(triple(X3,X4,X5))
    | ~ sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[sP1_iProver_def])],[c_97]) ).

cnf(c_1317,plain,
    ( ~ check_cpq(triple(sK3,sK4,sK5))
    | ~ ok(triple(sK3,sK4,sK5))
    | sP1_iProver_def ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_97]) ).

cnf(c_2506,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | ~ sP1_iProver_def
    | ok(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_1316]) ).

cnf(c_2522,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | ~ sP0_iProver_def
    | check_cpq(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_1314]) ).

cnf(c_2552,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
    | check_cpq(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_100]) ).

cnf(c_2567,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | check_cpq(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_99]) ).

cnf(c_2619,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | check_cpq(im_succ_cpq(triple(sK3,sK4,sK5)))
    | ok(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_96]) ).

cnf(c_2639,plain,
    ( ~ check_cpq(triple(sK9,sK10,sK11))
    | ~ ok(triple(sK9,sK10,sK11))
    | ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | ok(triple(sK6,sK7,sK8)) ),
    inference(superposition,[status(thm)],[c_107,c_95]) ).

cnf(c_2674,plain,
    ( ~ ok(triple(sK3,sK4,sK5))
    | ~ check_cpq(triple(sK3,sK4,sK5)) ),
    inference(global_subsumption_just,[status(thm)],[c_1317,c_106,c_105,c_108,c_1315,c_1317,c_2506,c_2522]) ).

cnf(c_2675,plain,
    ( ~ check_cpq(triple(sK3,sK4,sK5))
    | ~ ok(triple(sK3,sK4,sK5)) ),
    inference(renaming,[status(thm)],[c_2674]) ).

cnf(c_3208,plain,
    check_cpq(im_succ_cpq(triple(sK3,sK4,sK5))),
    inference(global_subsumption_just,[status(thm)],[c_100,c_106,c_105,c_108,c_2552,c_2619]) ).

cnf(c_3210,plain,
    ( ~ ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | ok(triple(sK3,sK4,sK5)) ),
    inference(superposition,[status(thm)],[c_3208,c_103]) ).

cnf(c_3211,plain,
    ( ~ ok(im_succ_cpq(triple(sK3,sK4,sK5)))
    | check_cpq(triple(sK3,sK4,sK5)) ),
    inference(superposition,[status(thm)],[c_3208,c_104]) ).

cnf(c_3214,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3210,c_3211,c_2675,c_2639,c_2567,c_108,c_105,c_106]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14  % Problem  : SWV384+1 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14  % Command  : run_iprover %s %d THM
% 0.14/0.36  % Computer : n012.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 300
% 0.14/0.36  % DateTime : Thu May  2 23:59:10 EDT 2024
% 0.14/0.36  % CPUTime  : 
% 0.23/0.50  Running first-order theorem proving
% 0.23/0.50  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
% 3.83/1.18  % SZS status Started for theBenchmark.p
% 3.83/1.18  % SZS status Theorem for theBenchmark.p
% 3.83/1.18  
% 3.83/1.18  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 3.83/1.18  
% 3.83/1.18  ------  iProver source info
% 3.83/1.18  
% 3.83/1.18  git: date: 2024-05-02 19:28:25 +0000
% 3.83/1.18  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 3.83/1.18  git: non_committed_changes: false
% 3.83/1.18  
% 3.83/1.18  ------ Parsing...
% 3.83/1.18  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 3.83/1.18  
% 3.83/1.18  ------ 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: 3 0s  sf_e  pe_s  pe_e 
% 3.83/1.18  
% 3.83/1.18  ------ Preprocessing... gs_s  sp: 2 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.83/1.18  
% 3.83/1.18  ------ Preprocessing... sf_s  rm: 1 0s  sf_e  sf_s  rm: 0 0s  sf_e 
% 3.83/1.18  ------ Proving...
% 3.83/1.18  ------ Problem Properties 
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  clauses                                 60
% 3.83/1.18  conjectures                             4
% 3.83/1.18  EPR                                     7
% 3.83/1.18  Horn                                    40
% 3.83/1.18  unary                                   19
% 3.83/1.18  binary                                  17
% 3.83/1.18  lits                                    142
% 3.83/1.18  lits eq                                 28
% 3.83/1.18  fd_pure                                 0
% 3.83/1.18  fd_pseudo                               0
% 3.83/1.18  fd_cond                                 5
% 3.83/1.18  fd_pseudo_cond                          5
% 3.83/1.18  AC symbols                              0
% 3.83/1.18  
% 3.83/1.18  ------ Input Options Time Limit: Unbounded
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ 
% 3.83/1.18  Current options:
% 3.83/1.18  ------ 
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  ------ Proving...
% 3.83/1.18  
% 3.83/1.18  
% 3.83/1.18  % SZS status Theorem for theBenchmark.p
% 3.83/1.18  
% 3.83/1.18  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.83/1.18  
% 3.83/1.18  
%------------------------------------------------------------------------------