TSTP Solution File: SYN496+1 by iProver---3.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.8
% Problem  : SYN496+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n010.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 Sep  1 03:07:53 EDT 2023

% Result   : CounterSatisfiable 1.14s 1.17s
% Output   : Saturation 1.14s
% Verified : 
% SZS Type : ERROR: Analysing output (Could not find formula named f59)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,conjecture,
    ~ ( ( hskp1
        | hskp10
        | hskp4 )
      & ( ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c0_1(X11)
              | c2_1(X11) ) )
        | hskp3
        | ! [X10] :
            ( ndr1_0
           => ( c1_1(X10)
              | c3_1(X10)
              | ~ c2_1(X10) ) ) )
      & ( hskp9
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | ~ c0_1(X9)
              | ~ c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | ~ c1_1(X8)
              | ~ c0_1(X8) ) ) )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | ~ c2_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c2_1(X6)
              | c1_1(X6) ) )
        | hskp2 )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c0_1(X5)
              | c1_1(X5)
              | ~ c3_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c1_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c2_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | c3_1(X2)
              | c0_1(X2) ) )
        | hskp8
        | hskp1 )
      & ( hskp7
        | hskp0
        | hskp6 )
      & ( hskp5
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c1_1(X1)
              | c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c3_1(X0)
              | ~ c2_1(X0)
              | ~ c0_1(X0) ) ) )
      & ( ( c1_1(a89)
          & ~ c2_1(a89)
          & ~ c0_1(a89)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( c2_1(a86)
          & c0_1(a86)
          & ~ c3_1(a86)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( c1_1(a84)
          & c3_1(a84)
          & ~ c2_1(a84)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( c2_1(a82)
          & c1_1(a82)
          & ~ c3_1(a82)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( c1_1(a80)
          & c0_1(a80)
          & c3_1(a80)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( c2_1(a79)
          & c1_1(a79)
          & c3_1(a79)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a88)
          & ~ c0_1(a88)
          & ~ c2_1(a88)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a87)
          & c2_1(a87)
          & c1_1(a87)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a85)
          & ~ c0_1(a85)
          & c1_1(a85)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a83)
          & c2_1(a83)
          & ~ c3_1(a83)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a81)
          & ~ c3_1(a81)
          & ~ c1_1(a81)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp1
          | hskp10
          | hskp4 )
        & ( ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c0_1(X11)
                | c2_1(X11) ) )
          | hskp3
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c3_1(X10)
                | ~ c2_1(X10) ) ) )
        & ( hskp9
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | ~ c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c2_1(X6)
                | c1_1(X6) ) )
          | hskp2 )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c0_1(X5)
                | c1_1(X5)
                | ~ c3_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c2_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | c3_1(X2)
                | c0_1(X2) ) )
          | hskp8
          | hskp1 )
        & ( hskp7
          | hskp0
          | hskp6 )
        & ( hskp5
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c1_1(X1)
                | c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( ( c1_1(a89)
            & ~ c2_1(a89)
            & ~ c0_1(a89)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( c2_1(a86)
            & c0_1(a86)
            & ~ c3_1(a86)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c1_1(a84)
            & c3_1(a84)
            & ~ c2_1(a84)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c2_1(a82)
            & c1_1(a82)
            & ~ c3_1(a82)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c1_1(a80)
            & c0_1(a80)
            & c3_1(a80)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c2_1(a79)
            & c1_1(a79)
            & c3_1(a79)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a88)
            & ~ c0_1(a88)
            & ~ c2_1(a88)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a87)
            & c2_1(a87)
            & c1_1(a87)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a85)
            & ~ c0_1(a85)
            & c1_1(a85)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a83)
            & c2_1(a83)
            & ~ c3_1(a83)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a81)
            & ~ c3_1(a81)
            & ~ c1_1(a81)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f3,plain,
    ~ ~ ( ( hskp1
          | hskp10
          | hskp4 )
        & ( ! [X0] :
              ( ndr1_0
             => ( c3_1(X0)
                | c0_1(X0)
                | c2_1(X0) ) )
          | hskp3
          | ! [X1] :
              ( ndr1_0
             => ( c1_1(X1)
                | c3_1(X1)
                | ~ c2_1(X1) ) ) )
        & ( hskp9
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c0_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( c0_1(X4)
                | ~ c2_1(X4)
                | ~ c1_1(X4) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | c2_1(X5)
                | c1_1(X5) ) )
          | hskp2 )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | c1_1(X6)
                | ~ c3_1(X6) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c3_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c2_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) )
          | hskp8
          | hskp1 )
        & ( hskp7
          | hskp0
          | hskp6 )
        & ( hskp5
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c2_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | ~ c2_1(X11)
                | ~ c0_1(X11) ) ) )
        & ( ( c1_1(a89)
            & ~ c2_1(a89)
            & ~ c0_1(a89)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( c2_1(a86)
            & c0_1(a86)
            & ~ c3_1(a86)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( c1_1(a84)
            & c3_1(a84)
            & ~ c2_1(a84)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( c2_1(a82)
            & c1_1(a82)
            & ~ c3_1(a82)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( c1_1(a80)
            & c0_1(a80)
            & c3_1(a80)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( c2_1(a79)
            & c1_1(a79)
            & c3_1(a79)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a88)
            & ~ c0_1(a88)
            & ~ c2_1(a88)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a87)
            & c2_1(a87)
            & c1_1(a87)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a85)
            & ~ c0_1(a85)
            & c1_1(a85)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a83)
            & c2_1(a83)
            & ~ c3_1(a83)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a81)
            & ~ c3_1(a81)
            & ~ c1_1(a81)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f4,plain,
    ( ( hskp1
      | hskp10
      | hskp4 )
    & ( ! [X0] :
          ( ndr1_0
         => ( c3_1(X0)
            | c0_1(X0)
            | c2_1(X0) ) )
      | hskp3
      | ! [X1] :
          ( ndr1_0
         => ( c1_1(X1)
            | c3_1(X1)
            | ~ c2_1(X1) ) ) )
    & ( hskp9
      | ! [X2] :
          ( ndr1_0
         => ( c3_1(X2)
            | ~ c0_1(X2)
            | ~ c1_1(X2) ) )
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( ! [X4] :
          ( ndr1_0
         => ( c0_1(X4)
            | ~ c2_1(X4)
            | ~ c1_1(X4) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | c2_1(X5)
            | c1_1(X5) ) )
      | hskp2 )
    & ( ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | c1_1(X6)
            | ~ c3_1(X6) ) )
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | c3_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( c3_1(X8)
            | c1_1(X8)
            | c2_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | c3_1(X9)
            | c0_1(X9) ) )
      | hskp8
      | hskp1 )
    & ( hskp7
      | hskp0
      | hskp6 )
    & ( hskp5
      | ! [X10] :
          ( ndr1_0
         => ( c3_1(X10)
            | c1_1(X10)
            | c2_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( c3_1(X11)
            | ~ c2_1(X11)
            | ~ c0_1(X11) ) ) )
    & ( ( c1_1(a89)
        & ~ c2_1(a89)
        & ~ c0_1(a89)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c2_1(a86)
        & c0_1(a86)
        & ~ c3_1(a86)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a84)
        & c3_1(a84)
        & ~ c2_1(a84)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a82)
        & c1_1(a82)
        & ~ c3_1(a82)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a80)
        & c0_1(a80)
        & c3_1(a80)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c2_1(a79)
        & c1_1(a79)
        & c3_1(a79)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a88)
        & ~ c0_1(a88)
        & ~ c2_1(a88)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a87)
        & c2_1(a87)
        & c1_1(a87)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a85)
        & ~ c0_1(a85)
        & c1_1(a85)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a83)
        & c2_1(a83)
        & ~ c3_1(a83)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a81)
        & ~ c3_1(a81)
        & ~ c1_1(a81)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f5,plain,
    ( ( hskp1
      | hskp10
      | hskp4 )
    & ( ! [X0] :
          ( c3_1(X0)
          | c0_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp3
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X2] :
          ( c3_1(X2)
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c3_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | c3_1(X9)
          | c0_1(X9)
          | ~ ndr1_0 )
      | hskp8
      | hskp1 )
    & ( hskp7
      | hskp0
      | hskp6 )
    & ( hskp5
      | ! [X10] :
          ( c3_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a89)
        & ~ c2_1(a89)
        & ~ c0_1(a89)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c2_1(a86)
        & c0_1(a86)
        & ~ c3_1(a86)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a84)
        & c3_1(a84)
        & ~ c2_1(a84)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a82)
        & c1_1(a82)
        & ~ c3_1(a82)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a80)
        & c0_1(a80)
        & c3_1(a80)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c2_1(a79)
        & c1_1(a79)
        & c3_1(a79)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a88)
        & ~ c0_1(a88)
        & ~ c2_1(a88)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a87)
        & c2_1(a87)
        & c1_1(a87)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a85)
        & ~ c0_1(a85)
        & c1_1(a85)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a83)
        & c2_1(a83)
        & ~ c3_1(a83)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a81)
        & ~ c3_1(a81)
        & ~ c1_1(a81)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f6,plain,
    ( ( hskp1
      | hskp10
      | hskp4 )
    & ( ! [X0] :
          ( c3_1(X0)
          | c0_1(X0)
          | c2_1(X0)
          | ~ ndr1_0 )
      | hskp3
      | ! [X1] :
          ( c1_1(X1)
          | c3_1(X1)
          | ~ c2_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X2] :
          ( c3_1(X2)
          | ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 )
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( ! [X4] :
          ( c0_1(X4)
          | ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c0_1(X5)
          | c2_1(X5)
          | c1_1(X5)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ! [X6] :
          ( ~ c0_1(X6)
          | c1_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0 )
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( c3_1(X8)
          | c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | c3_1(X9)
          | c0_1(X9)
          | ~ ndr1_0 )
      | hskp8
      | hskp1 )
    & ( hskp7
      | hskp0
      | hskp6 )
    & ( hskp5
      | ! [X10] :
          ( c3_1(X10)
          | c1_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( c3_1(X11)
          | ~ c2_1(X11)
          | ~ c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a89)
        & ~ c2_1(a89)
        & ~ c0_1(a89)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( c2_1(a86)
        & c0_1(a86)
        & ~ c3_1(a86)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( c1_1(a84)
        & c3_1(a84)
        & ~ c2_1(a84)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( c2_1(a82)
        & c1_1(a82)
        & ~ c3_1(a82)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( c1_1(a80)
        & c0_1(a80)
        & c3_1(a80)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( c2_1(a79)
        & c1_1(a79)
        & c3_1(a79)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a88)
        & ~ c0_1(a88)
        & ~ c2_1(a88)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a87)
        & c2_1(a87)
        & c1_1(a87)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a85)
        & ~ c0_1(a85)
        & c1_1(a85)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a83)
        & c2_1(a83)
        & ~ c3_1(a83)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a81)
        & ~ c3_1(a81)
        & ~ c1_1(a81)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f8,plain,
    ( ~ c1_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f9,plain,
    ( ~ c3_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f10,plain,
    ( ~ c0_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f12,plain,
    ( ~ c3_1(a83)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f13,plain,
    ( c2_1(a83)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f14,plain,
    ( ~ c1_1(a83)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f16,plain,
    ( c1_1(a85)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f17,plain,
    ( ~ c0_1(a85)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f18,plain,
    ( ~ c3_1(a85)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f20,plain,
    ( c1_1(a87)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f21,plain,
    ( c2_1(a87)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f22,plain,
    ( ~ c3_1(a87)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f24,plain,
    ( ~ c2_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f25,plain,
    ( ~ c0_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f26,plain,
    ( ~ c1_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f28,plain,
    ( c3_1(a79)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f29,plain,
    ( c1_1(a79)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f30,plain,
    ( c2_1(a79)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f32,plain,
    ( c3_1(a80)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f33,plain,
    ( c0_1(a80)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f34,plain,
    ( c1_1(a80)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f36,plain,
    ( ~ c3_1(a82)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f37,plain,
    ( c1_1(a82)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f38,plain,
    ( c2_1(a82)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f40,plain,
    ( ~ c2_1(a84)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f41,plain,
    ( c3_1(a84)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f42,plain,
    ( c1_1(a84)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f44,plain,
    ( ~ c3_1(a86)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f45,plain,
    ( c0_1(a86)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f46,plain,
    ( c2_1(a86)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f47,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f48,plain,
    ( ~ c0_1(a89)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f49,plain,
    ( ~ c2_1(a89)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f50,plain,
    ( c1_1(a89)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f52,plain,
    ( hskp7
    | hskp0
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f53,plain,
    ! [X9] :
      ( ~ c2_1(X9)
      | c3_1(X9)
      | c0_1(X9)
      | ~ ndr1_0
      | hskp8
      | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f58,plain,
    ( hskp1
    | hskp10
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

cnf(c_49,negated_conjecture,
    ( hskp1
    | hskp10
    | hskp4 ),
    inference(cnf_transformation,[],[f58]) ).

cnf(c_50,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp3 ),
    inference(cnf_transformation,[],[f59]) ).

cnf(c_51,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X0)
    | hskp9 ),
    inference(cnf_transformation,[],[f60]) ).

cnf(c_52,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | ~ ndr1_0
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(cnf_transformation,[],[f61]) ).

cnf(c_53,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(cnf_transformation,[],[f62]) ).

cnf(c_54,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp8 ),
    inference(cnf_transformation,[],[f53]) ).

cnf(c_55,negated_conjecture,
    ( hskp7
    | hskp0
    | hskp6 ),
    inference(cnf_transformation,[],[f52]) ).

cnf(c_56,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | ~ ndr1_0
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(cnf_transformation,[],[f63]) ).

cnf(c_57,negated_conjecture,
    ( ~ hskp10
    | c1_1(a89) ),
    inference(cnf_transformation,[],[f50]) ).

cnf(c_58,negated_conjecture,
    ( ~ c2_1(a89)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f49]) ).

cnf(c_59,negated_conjecture,
    ( ~ c0_1(a89)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f48]) ).

cnf(c_60,negated_conjecture,
    ( ~ hskp10
    | ndr1_0 ),
    inference(cnf_transformation,[],[f47]) ).

cnf(c_61,negated_conjecture,
    ( ~ hskp9
    | c2_1(a86) ),
    inference(cnf_transformation,[],[f46]) ).

cnf(c_62,negated_conjecture,
    ( ~ hskp9
    | c0_1(a86) ),
    inference(cnf_transformation,[],[f45]) ).

cnf(c_63,negated_conjecture,
    ( ~ c3_1(a86)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f44]) ).

cnf(c_65,negated_conjecture,
    ( ~ hskp8
    | c1_1(a84) ),
    inference(cnf_transformation,[],[f42]) ).

cnf(c_66,negated_conjecture,
    ( ~ hskp8
    | c3_1(a84) ),
    inference(cnf_transformation,[],[f41]) ).

cnf(c_67,negated_conjecture,
    ( ~ c2_1(a84)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f40]) ).

cnf(c_69,negated_conjecture,
    ( ~ hskp7
    | c2_1(a82) ),
    inference(cnf_transformation,[],[f38]) ).

cnf(c_70,negated_conjecture,
    ( ~ hskp7
    | c1_1(a82) ),
    inference(cnf_transformation,[],[f37]) ).

cnf(c_71,negated_conjecture,
    ( ~ c3_1(a82)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f36]) ).

cnf(c_72,negated_conjecture,
    ( ~ hskp7
    | ndr1_0 ),
    inference(cnf_transformation,[],[f35]) ).

cnf(c_73,negated_conjecture,
    ( ~ hskp6
    | c1_1(a80) ),
    inference(cnf_transformation,[],[f34]) ).

cnf(c_74,negated_conjecture,
    ( ~ hskp6
    | c0_1(a80) ),
    inference(cnf_transformation,[],[f33]) ).

cnf(c_75,negated_conjecture,
    ( ~ hskp6
    | c3_1(a80) ),
    inference(cnf_transformation,[],[f32]) ).

cnf(c_76,negated_conjecture,
    ( ~ hskp6
    | ndr1_0 ),
    inference(cnf_transformation,[],[f31]) ).

cnf(c_77,negated_conjecture,
    ( ~ hskp5
    | c2_1(a79) ),
    inference(cnf_transformation,[],[f30]) ).

cnf(c_78,negated_conjecture,
    ( ~ hskp5
    | c1_1(a79) ),
    inference(cnf_transformation,[],[f29]) ).

cnf(c_79,negated_conjecture,
    ( ~ hskp5
    | c3_1(a79) ),
    inference(cnf_transformation,[],[f28]) ).

cnf(c_81,negated_conjecture,
    ( ~ c1_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f26]) ).

cnf(c_82,negated_conjecture,
    ( ~ c0_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f25]) ).

cnf(c_83,negated_conjecture,
    ( ~ c2_1(a88)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f24]) ).

cnf(c_85,negated_conjecture,
    ( ~ c3_1(a87)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f22]) ).

cnf(c_86,negated_conjecture,
    ( ~ hskp3
    | c2_1(a87) ),
    inference(cnf_transformation,[],[f21]) ).

cnf(c_87,negated_conjecture,
    ( ~ hskp3
    | c1_1(a87) ),
    inference(cnf_transformation,[],[f20]) ).

cnf(c_89,negated_conjecture,
    ( ~ c3_1(a85)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f18]) ).

cnf(c_90,negated_conjecture,
    ( ~ c0_1(a85)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f17]) ).

cnf(c_91,negated_conjecture,
    ( ~ hskp2
    | c1_1(a85) ),
    inference(cnf_transformation,[],[f16]) ).

cnf(c_93,negated_conjecture,
    ( ~ c1_1(a83)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f14]) ).

cnf(c_94,negated_conjecture,
    ( ~ hskp1
    | c2_1(a83) ),
    inference(cnf_transformation,[],[f13]) ).

cnf(c_95,negated_conjecture,
    ( ~ c3_1(a83)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f12]) ).

cnf(c_97,negated_conjecture,
    ( ~ c0_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f10]) ).

cnf(c_98,negated_conjecture,
    ( ~ c3_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f9]) ).

cnf(c_99,negated_conjecture,
    ( ~ c1_1(a81)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f8]) ).

cnf(c_100,negated_conjecture,
    ( ~ hskp0
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

cnf(c_103,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_100,c_100,c_76,c_72,c_55]) ).

cnf(c_123,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_60,c_100,c_76,c_72,c_55]) ).

cnf(c_125,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c0_1(X0)
    | hskp1
    | hskp8 ),
    inference(global_subsumption_just,[status(thm)],[c_54,c_100,c_76,c_72,c_55,c_54]) ).

cnf(c_128,negated_conjecture,
    ( ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X0)
    | hskp3 ),
    inference(global_subsumption_just,[status(thm)],[c_50,c_100,c_76,c_72,c_55,c_50]) ).

cnf(c_130,plain,
    ( ~ c2_1(X0)
    | ~ c0_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(global_subsumption_just,[status(thm)],[c_56,c_100,c_76,c_72,c_55,c_56]) ).

cnf(c_131,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c2_1(X0)
    | c3_1(X0)
    | c3_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp5 ),
    inference(renaming,[status(thm)],[c_130]) ).

cnf(c_132,plain,
    ( ~ c1_1(X0)
    | ~ c2_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(global_subsumption_just,[status(thm)],[c_52,c_100,c_76,c_72,c_55,c_52]) ).

cnf(c_133,negated_conjecture,
    ( ~ c2_1(X0)
    | ~ c1_1(X0)
    | c0_1(X0)
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1)
    | hskp2 ),
    inference(renaming,[status(thm)],[c_132]) ).

cnf(c_134,plain,
    ( ~ c1_1(X1)
    | ~ c1_1(X0)
    | ~ c2_1(X1)
    | ~ c0_1(X1)
    | ~ c0_1(X0)
    | c3_1(X0)
    | hskp9 ),
    inference(global_subsumption_just,[status(thm)],[c_51,c_100,c_76,c_72,c_55,c_51]) ).

cnf(c_135,negated_conjecture,
    ( ~ c0_1(X0)
    | ~ c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X0)
    | ~ c1_1(X1)
    | c3_1(X0)
    | hskp9 ),
    inference(renaming,[status(thm)],[c_134]) ).

cnf(c_137,plain,
    ( ~ c1_1(X1)
    | ~ c2_1(X1)
    | ~ c0_1(X0)
    | ~ c3_1(X0)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_53,c_53,c_103]) ).

cnf(c_138,negated_conjecture,
    ( ~ c3_1(X0)
    | ~ c0_1(X0)
    | ~ c2_1(X1)
    | ~ c1_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | c2_1(X2)
    | c1_1(X0)
    | c1_1(X2) ),
    inference(renaming,[status(thm)],[c_137]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYN496+1 : TPTP v8.1.2. Released v2.1.0.
% 0.00/0.13  % Command  : run_iprover %s %d THM
% 0.12/0.34  % Computer : n010.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Sat Aug 26 17:47:35 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.20/0.46  Running first-order theorem proving
% 0.20/0.46  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 1.14/1.17  % SZS status Started for theBenchmark.p
% 1.14/1.17  % SZS status CounterSatisfiable for theBenchmark.p
% 1.14/1.17  
% 1.14/1.17  %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 1.14/1.17  
% 1.14/1.17  ------  iProver source info
% 1.14/1.17  
% 1.14/1.17  git: date: 2023-05-31 18:12:56 +0000
% 1.14/1.17  git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 1.14/1.17  git: non_committed_changes: false
% 1.14/1.17  git: last_make_outside_of_git: false
% 1.14/1.17  
% 1.14/1.17  ------ Parsing...
% 1.14/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...------  preprocesses with Option_epr_non_horn_non_eq
% 1.14/1.17  
% 1.14/1.17  
% 1.14/1.17  ------ Preprocessing... sf_s  rm: 42 0s  sf_e  pe_s  pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 1.14/1.17  
% 1.14/1.17  ------ Preprocessing...------  preprocesses with Option_epr_horn
% 1.14/1.17   gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 1.14/1.17  ------ Proving...
% 1.14/1.17  ------ Problem Properties 
% 1.14/1.17  
% 1.14/1.17  
% 1.14/1.17  clauses                                 0
% 1.14/1.17  conjectures                             0
% 1.14/1.17  EPR                                     0
% 1.14/1.17  Horn                                    0
% 1.14/1.17  unary                                   0
% 1.14/1.17  binary                                  0
% 1.14/1.17  lits                                    0
% 1.14/1.17  lits eq                                 0
% 1.14/1.17  fd_pure                                 0
% 1.14/1.17  fd_pseudo                               0
% 1.14/1.17  fd_cond                                 0
% 1.14/1.17  fd_pseudo_cond                          0
% 1.14/1.17  AC symbols                              0
% 1.14/1.17  
% 1.14/1.17  ------ Schedule EPR Horn non eq is on
% 1.14/1.17  
% 1.14/1.17  ------ no conjectures: strip conj schedule 
% 1.14/1.17  
% 1.14/1.17  ------ no equalities: superposition off 
% 1.14/1.17  
% 1.14/1.17  ------ Option_epr_horn stripped conjectures Time Limit: Unbounded
% 1.14/1.17  
% 1.14/1.17  
% 1.14/1.17  
% 1.14/1.17  
% 1.14/1.17  % SZS status CounterSatisfiable for theBenchmark.p
% 1.14/1.17  
% 1.14/1.17  % SZS output start Saturation for theBenchmark.p
% See solution above
% 1.14/1.18  
% 1.14/1.18  
%------------------------------------------------------------------------------