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CSE_E---1.7.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN430+1 : TPTP v9.2.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n020.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 : Tue May  5 05:38:16 PM UTC 2026

% Result   : CounterSatisfiable 1.36s 1.74s
% Output   : Saturation 1.36s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(co1,conjecture,
    ~ ( ( ~ hskp0
        | ( ndr1_0
          & c3_1(a105)
          & ~ c1_1(a105)
          & ~ c2_1(a105) ) )
      & ( ~ hskp1
        | ( ndr1_0
          & ~ c3_1(a107)
          & ~ c1_1(a107)
          & ~ c0_1(a107) ) )
      & ( ~ hskp2
        | ( ndr1_0
          & c3_1(a108)
          & ~ c2_1(a108)
          & ~ c1_1(a108) ) )
      & ( ~ hskp3
        | ( ndr1_0
          & ~ c2_1(a109)
          & c3_1(a109)
          & ~ c1_1(a109) ) )
      & ( ~ hskp4
        | ( ndr1_0
          & ~ c3_1(a110)
          & ~ c1_1(a110)
          & ~ c2_1(a110) ) )
      & ( ~ hskp5
        | ( ndr1_0
          & c2_1(a111)
          & c0_1(a111)
          & ~ c1_1(a111) ) )
      & ( ~ hskp6
        | ( ndr1_0
          & ~ c1_1(a112)
          & ~ c0_1(a112)
          & ~ c2_1(a112) ) )
      & ( ~ hskp7
        | ( ndr1_0
          & c1_1(a114)
          & c2_1(a114)
          & ~ c0_1(a114) ) )
      & ( ~ hskp8
        | ( ndr1_0
          & ~ c2_1(a118)
          & ~ c1_1(a118)
          & ~ c0_1(a118) ) )
      & ( ~ hskp9
        | ( ndr1_0
          & ~ c1_1(a120)
          & ~ c2_1(a120)
          & ~ c0_1(a120) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & c2_1(a122)
          & ~ c1_1(a122)
          & ~ c3_1(a122) ) )
      & ( ~ hskp11
        | ( ndr1_0
          & c3_1(a123)
          & ~ c0_1(a123)
          & ~ c1_1(a123) ) )
      & ( ~ hskp12
        | ( ndr1_0
          & c1_1(a126)
          & c0_1(a126)
          & ~ c3_1(a126) ) )
      & ( ~ hskp13
        | ( ndr1_0
          & ~ c2_1(a127)
          & ~ c3_1(a127)
          & ~ c1_1(a127) ) )
      & ( ~ hskp14
        | ( ndr1_0
          & c3_1(a128)
          & ~ c2_1(a128)
          & ~ c0_1(a128) ) )
      & ( ~ hskp15
        | ( ndr1_0
          & ~ c0_1(a106)
          & ~ c2_1(a106)
          & c3_1(a106) ) )
      & ( ~ hskp16
        | ( ndr1_0
          & ~ c3_1(a113)
          & ~ c1_1(a113)
          & c0_1(a113) ) )
      & ( ~ hskp17
        | ( ndr1_0
          & ~ c0_1(a115)
          & c2_1(a115)
          & c1_1(a115) ) )
      & ( ~ hskp18
        | ( ndr1_0
          & c1_1(a116)
          & ~ c3_1(a116)
          & c0_1(a116) ) )
      & ( ~ hskp19
        | ( ndr1_0
          & ~ c2_1(a117)
          & ~ c1_1(a117)
          & c0_1(a117) ) )
      & ( ~ hskp20
        | ( ndr1_0
          & ~ c0_1(a119)
          & c1_1(a119)
          & c2_1(a119) ) )
      & ( ~ hskp21
        | ( ndr1_0
          & c3_1(a121)
          & c1_1(a121)
          & c2_1(a121) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & ~ c0_1(a129)
          & ~ c3_1(a129)
          & c1_1(a129) ) )
      & ( ~ hskp23
        | ( ndr1_0
          & ~ c2_1(a130)
          & ~ c1_1(a130)
          & c3_1(a130) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c1_1(a131)
          & c0_1(a131)
          & c3_1(a131) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c1_1(X1)
              | ~ c2_1(X1)
              | c3_1(X1) ) )
        | hskp15 )
      & ( hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c0_1(X2)
              | ~ c1_1(X2) ) )
        | hskp2 )
      & ( hskp3
        | hskp4
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c3_1(X3)
              | ~ c0_1(X3) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c0_1(X4)
              | c2_1(X4)
              | c3_1(X4) ) )
        | hskp5
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | ~ c2_1(X5) ) ) )
      & ( hskp6
        | hskp16
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c0_1(X6)
              | c1_1(X6) ) ) )
      & ( hskp7
        | hskp17
        | hskp18 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c0_1(X7)
              | c2_1(X7)
              | ~ c1_1(X7) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c0_1(X9)
              | ~ c1_1(X9) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( c2_1(X10)
              | ~ c3_1(X10)
              | c0_1(X10) ) )
        | hskp19
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c3_1(X11)
              | c2_1(X11) ) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c1_1(X12)
              | ~ c0_1(X12)
              | ~ c3_1(X12) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c1_1(X13)
              | ~ c0_1(X13) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c2_1(X14)
              | c0_1(X14)
              | ~ c3_1(X14) ) ) )
      & ( hskp8
        | hskp20
        | hskp9 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c0_1(X15)
              | ~ c3_1(X15)
              | c1_1(X15) ) )
        | hskp21
        | hskp10 )
      & ( ! [X16] :
            ( ndr1_0
           => ( c2_1(X16)
              | ~ c0_1(X16)
              | ~ c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c1_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c0_1(X18)
              | ~ c1_1(X18) ) ) )
      & ( hskp11
        | hskp7
        | hskp6 )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) )
        | hskp12
        | hskp13 )
      & ( hskp14
        | hskp22
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | ~ c2_1(X20)
              | ~ c1_1(X20) ) ) )
      & ( hskp23
        | hskp24
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | ~ c1_1(X21)
              | c2_1(X21) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ( ( ~ hskp0
          | ( ndr1_0
            & c3_1(a105)
            & ~ c1_1(a105)
            & ~ c2_1(a105) ) )
        & ( ~ hskp1
          | ( ndr1_0
            & ~ c3_1(a107)
            & ~ c1_1(a107)
            & ~ c0_1(a107) ) )
        & ( ~ hskp2
          | ( ndr1_0
            & c3_1(a108)
            & ~ c2_1(a108)
            & ~ c1_1(a108) ) )
        & ( ~ hskp3
          | ( ndr1_0
            & ~ c2_1(a109)
            & c3_1(a109)
            & ~ c1_1(a109) ) )
        & ( ~ hskp4
          | ( ndr1_0
            & ~ c3_1(a110)
            & ~ c1_1(a110)
            & ~ c2_1(a110) ) )
        & ( ~ hskp5
          | ( ndr1_0
            & c2_1(a111)
            & c0_1(a111)
            & ~ c1_1(a111) ) )
        & ( ~ hskp6
          | ( ndr1_0
            & ~ c1_1(a112)
            & ~ c0_1(a112)
            & ~ c2_1(a112) ) )
        & ( ~ hskp7
          | ( ndr1_0
            & c1_1(a114)
            & c2_1(a114)
            & ~ c0_1(a114) ) )
        & ( ~ hskp8
          | ( ndr1_0
            & ~ c2_1(a118)
            & ~ c1_1(a118)
            & ~ c0_1(a118) ) )
        & ( ~ hskp9
          | ( ndr1_0
            & ~ c1_1(a120)
            & ~ c2_1(a120)
            & ~ c0_1(a120) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & c2_1(a122)
            & ~ c1_1(a122)
            & ~ c3_1(a122) ) )
        & ( ~ hskp11
          | ( ndr1_0
            & c3_1(a123)
            & ~ c0_1(a123)
            & ~ c1_1(a123) ) )
        & ( ~ hskp12
          | ( ndr1_0
            & c1_1(a126)
            & c0_1(a126)
            & ~ c3_1(a126) ) )
        & ( ~ hskp13
          | ( ndr1_0
            & ~ c2_1(a127)
            & ~ c3_1(a127)
            & ~ c1_1(a127) ) )
        & ( ~ hskp14
          | ( ndr1_0
            & c3_1(a128)
            & ~ c2_1(a128)
            & ~ c0_1(a128) ) )
        & ( ~ hskp15
          | ( ndr1_0
            & ~ c0_1(a106)
            & ~ c2_1(a106)
            & c3_1(a106) ) )
        & ( ~ hskp16
          | ( ndr1_0
            & ~ c3_1(a113)
            & ~ c1_1(a113)
            & c0_1(a113) ) )
        & ( ~ hskp17
          | ( ndr1_0
            & ~ c0_1(a115)
            & c2_1(a115)
            & c1_1(a115) ) )
        & ( ~ hskp18
          | ( ndr1_0
            & c1_1(a116)
            & ~ c3_1(a116)
            & c0_1(a116) ) )
        & ( ~ hskp19
          | ( ndr1_0
            & ~ c2_1(a117)
            & ~ c1_1(a117)
            & c0_1(a117) ) )
        & ( ~ hskp20
          | ( ndr1_0
            & ~ c0_1(a119)
            & c1_1(a119)
            & c2_1(a119) ) )
        & ( ~ hskp21
          | ( ndr1_0
            & c3_1(a121)
            & c1_1(a121)
            & c2_1(a121) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & ~ c0_1(a129)
            & ~ c3_1(a129)
            & c1_1(a129) ) )
        & ( ~ hskp23
          | ( ndr1_0
            & ~ c2_1(a130)
            & ~ c1_1(a130)
            & c3_1(a130) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c1_1(a131)
            & c0_1(a131)
            & c3_1(a131) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | ~ c2_1(X1)
                | c3_1(X1) ) )
          | hskp15 )
        & ( hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c0_1(X2)
                | ~ c1_1(X2) ) )
          | hskp2 )
        & ( hskp3
          | hskp4
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c2_1(X4)
                | c3_1(X4) ) )
          | hskp5
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | ~ c2_1(X5) ) ) )
        & ( hskp6
          | hskp16
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c0_1(X6)
                | c1_1(X6) ) ) )
        & ( hskp7
          | hskp17
          | hskp18 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c0_1(X7)
                | c2_1(X7)
                | ~ c1_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | ~ c1_1(X9) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( c2_1(X10)
                | ~ c3_1(X10)
                | c0_1(X10) ) )
          | hskp19
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c3_1(X11)
                | c2_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | ~ c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c2_1(X14)
                | c0_1(X14)
                | ~ c3_1(X14) ) ) )
        & ( hskp8
          | hskp20
          | hskp9 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c0_1(X15)
                | ~ c3_1(X15)
                | c1_1(X15) ) )
          | hskp21
          | hskp10 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c0_1(X16)
                | ~ c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c1_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c0_1(X18)
                | ~ c1_1(X18) ) ) )
        & ( hskp11
          | hskp7
          | hskp6 )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) )
          | hskp12
          | hskp13 )
        & ( hskp14
          | hskp22
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | ~ c2_1(X20)
                | ~ c1_1(X20) ) ) )
        & ( hskp23
          | hskp24
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | ~ c1_1(X21)
                | c2_1(X21) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[co1])]) ).

fof(c_0_2,negated_conjecture,
    ! [X43,X44,X45,X46,X47,X48,X49,X50,X51,X52,X53,X54,X55,X56,X57,X58,X59,X60,X61,X62,X63] :
      ( ( ndr1_0
        | ~ hskp0 )
      & ( c3_1(a105)
        | ~ hskp0 )
      & ( ~ c1_1(a105)
        | ~ hskp0 )
      & ( ~ c2_1(a105)
        | ~ hskp0 )
      & ( ndr1_0
        | ~ hskp1 )
      & ( ~ c3_1(a107)
        | ~ hskp1 )
      & ( ~ c1_1(a107)
        | ~ hskp1 )
      & ( ~ c0_1(a107)
        | ~ hskp1 )
      & ( ndr1_0
        | ~ hskp2 )
      & ( c3_1(a108)
        | ~ hskp2 )
      & ( ~ c2_1(a108)
        | ~ hskp2 )
      & ( ~ c1_1(a108)
        | ~ hskp2 )
      & ( ndr1_0
        | ~ hskp3 )
      & ( ~ c2_1(a109)
        | ~ hskp3 )
      & ( c3_1(a109)
        | ~ hskp3 )
      & ( ~ c1_1(a109)
        | ~ hskp3 )
      & ( ndr1_0
        | ~ hskp4 )
      & ( ~ c3_1(a110)
        | ~ hskp4 )
      & ( ~ c1_1(a110)
        | ~ hskp4 )
      & ( ~ c2_1(a110)
        | ~ hskp4 )
      & ( ndr1_0
        | ~ hskp5 )
      & ( c2_1(a111)
        | ~ hskp5 )
      & ( c0_1(a111)
        | ~ hskp5 )
      & ( ~ c1_1(a111)
        | ~ hskp5 )
      & ( ndr1_0
        | ~ hskp6 )
      & ( ~ c1_1(a112)
        | ~ hskp6 )
      & ( ~ c0_1(a112)
        | ~ hskp6 )
      & ( ~ c2_1(a112)
        | ~ hskp6 )
      & ( ndr1_0
        | ~ hskp7 )
      & ( c1_1(a114)
        | ~ hskp7 )
      & ( c2_1(a114)
        | ~ hskp7 )
      & ( ~ c0_1(a114)
        | ~ hskp7 )
      & ( ndr1_0
        | ~ hskp8 )
      & ( ~ c2_1(a118)
        | ~ hskp8 )
      & ( ~ c1_1(a118)
        | ~ hskp8 )
      & ( ~ c0_1(a118)
        | ~ hskp8 )
      & ( ndr1_0
        | ~ hskp9 )
      & ( ~ c1_1(a120)
        | ~ hskp9 )
      & ( ~ c2_1(a120)
        | ~ hskp9 )
      & ( ~ c0_1(a120)
        | ~ hskp9 )
      & ( ndr1_0
        | ~ hskp10 )
      & ( c2_1(a122)
        | ~ hskp10 )
      & ( ~ c1_1(a122)
        | ~ hskp10 )
      & ( ~ c3_1(a122)
        | ~ hskp10 )
      & ( ndr1_0
        | ~ hskp11 )
      & ( c3_1(a123)
        | ~ hskp11 )
      & ( ~ c0_1(a123)
        | ~ hskp11 )
      & ( ~ c1_1(a123)
        | ~ hskp11 )
      & ( ndr1_0
        | ~ hskp12 )
      & ( c1_1(a126)
        | ~ hskp12 )
      & ( c0_1(a126)
        | ~ hskp12 )
      & ( ~ c3_1(a126)
        | ~ hskp12 )
      & ( ndr1_0
        | ~ hskp13 )
      & ( ~ c2_1(a127)
        | ~ hskp13 )
      & ( ~ c3_1(a127)
        | ~ hskp13 )
      & ( ~ c1_1(a127)
        | ~ hskp13 )
      & ( ndr1_0
        | ~ hskp14 )
      & ( c3_1(a128)
        | ~ hskp14 )
      & ( ~ c2_1(a128)
        | ~ hskp14 )
      & ( ~ c0_1(a128)
        | ~ hskp14 )
      & ( ndr1_0
        | ~ hskp15 )
      & ( ~ c0_1(a106)
        | ~ hskp15 )
      & ( ~ c2_1(a106)
        | ~ hskp15 )
      & ( c3_1(a106)
        | ~ hskp15 )
      & ( ndr1_0
        | ~ hskp16 )
      & ( ~ c3_1(a113)
        | ~ hskp16 )
      & ( ~ c1_1(a113)
        | ~ hskp16 )
      & ( c0_1(a113)
        | ~ hskp16 )
      & ( ndr1_0
        | ~ hskp17 )
      & ( ~ c0_1(a115)
        | ~ hskp17 )
      & ( c2_1(a115)
        | ~ hskp17 )
      & ( c1_1(a115)
        | ~ hskp17 )
      & ( ndr1_0
        | ~ hskp18 )
      & ( c1_1(a116)
        | ~ hskp18 )
      & ( ~ c3_1(a116)
        | ~ hskp18 )
      & ( c0_1(a116)
        | ~ hskp18 )
      & ( ndr1_0
        | ~ hskp19 )
      & ( ~ c2_1(a117)
        | ~ hskp19 )
      & ( ~ c1_1(a117)
        | ~ hskp19 )
      & ( c0_1(a117)
        | ~ hskp19 )
      & ( ndr1_0
        | ~ hskp20 )
      & ( ~ c0_1(a119)
        | ~ hskp20 )
      & ( c1_1(a119)
        | ~ hskp20 )
      & ( c2_1(a119)
        | ~ hskp20 )
      & ( ndr1_0
        | ~ hskp21 )
      & ( c3_1(a121)
        | ~ hskp21 )
      & ( c1_1(a121)
        | ~ hskp21 )
      & ( c2_1(a121)
        | ~ hskp21 )
      & ( ndr1_0
        | ~ hskp22 )
      & ( ~ c0_1(a129)
        | ~ hskp22 )
      & ( ~ c3_1(a129)
        | ~ hskp22 )
      & ( c1_1(a129)
        | ~ hskp22 )
      & ( ndr1_0
        | ~ hskp23 )
      & ( ~ c2_1(a130)
        | ~ hskp23 )
      & ( ~ c1_1(a130)
        | ~ hskp23 )
      & ( c3_1(a130)
        | ~ hskp23 )
      & ( ndr1_0
        | ~ hskp24 )
      & ( ~ c1_1(a131)
        | ~ hskp24 )
      & ( c0_1(a131)
        | ~ hskp24 )
      & ( c3_1(a131)
        | ~ hskp24 )
      & ( hskp0
        | ~ ndr1_0
        | ~ c1_1(X43)
        | ~ c2_1(X43)
        | c3_1(X43)
        | hskp15 )
      & ( hskp1
        | ~ ndr1_0
        | c3_1(X44)
        | c0_1(X44)
        | ~ c1_1(X44)
        | hskp2 )
      & ( hskp3
        | hskp4
        | ~ ndr1_0
        | ~ c2_1(X45)
        | c3_1(X45)
        | ~ c0_1(X45) )
      & ( ~ ndr1_0
        | ~ c0_1(X46)
        | c2_1(X46)
        | c3_1(X46)
        | hskp5
        | ~ ndr1_0
        | ~ c1_1(X47)
        | c3_1(X47)
        | ~ c2_1(X47) )
      & ( hskp6
        | hskp16
        | ~ ndr1_0
        | c3_1(X48)
        | c0_1(X48)
        | c1_1(X48) )
      & ( hskp7
        | hskp17
        | hskp18 )
      & ( ~ ndr1_0
        | c0_1(X49)
        | c2_1(X49)
        | ~ c1_1(X49)
        | ~ ndr1_0
        | c1_1(X50)
        | ~ c2_1(X50)
        | c0_1(X50)
        | ~ ndr1_0
        | ~ c2_1(X51)
        | ~ c0_1(X51)
        | ~ c1_1(X51) )
      & ( ~ ndr1_0
        | c2_1(X52)
        | ~ c3_1(X52)
        | c0_1(X52)
        | hskp19
        | ~ ndr1_0
        | ~ c1_1(X53)
        | c3_1(X53)
        | c2_1(X53) )
      & ( ~ ndr1_0
        | ~ c1_1(X54)
        | ~ c0_1(X54)
        | ~ c3_1(X54)
        | ~ ndr1_0
        | ~ c3_1(X55)
        | ~ c1_1(X55)
        | ~ c0_1(X55)
        | ~ ndr1_0
        | c2_1(X56)
        | c0_1(X56)
        | ~ c3_1(X56) )
      & ( hskp8
        | hskp20
        | hskp9 )
      & ( ~ ndr1_0
        | c0_1(X57)
        | ~ c3_1(X57)
        | c1_1(X57)
        | hskp21
        | hskp10 )
      & ( ~ ndr1_0
        | c2_1(X58)
        | ~ c0_1(X58)
        | ~ c1_1(X58)
        | ~ ndr1_0
        | c1_1(X59)
        | c2_1(X59)
        | c0_1(X59)
        | ~ ndr1_0
        | ~ c3_1(X60)
        | c0_1(X60)
        | ~ c1_1(X60) )
      & ( hskp11
        | hskp7
        | hskp6 )
      & ( ~ ndr1_0
        | ~ c1_1(X61)
        | c0_1(X61)
        | ~ c2_1(X61)
        | hskp12
        | hskp13 )
      & ( hskp14
        | hskp22
        | ~ ndr1_0
        | c3_1(X62)
        | ~ c2_1(X62)
        | ~ c1_1(X62) )
      & ( hskp23
        | hskp24
        | ~ ndr1_0
        | c3_1(X63)
        | ~ c1_1(X63)
        | c2_1(X63) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ndr1_0
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_4,negated_conjecture,
    ( hskp11
    | hskp7
    | hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_5,negated_conjecture,
    ( ndr1_0
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_6,negated_conjecture,
    ( ndr1_0
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_7,negated_conjecture,
    ( c2_1(X1)
    | c1_1(X2)
    | c2_1(X2)
    | c0_1(X2)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_8,negated_conjecture,
    ( c0_1(X1)
    | c1_1(X1)
    | hskp21
    | hskp10
    | ~ ndr1_0
    | ~ c3_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_9,negated_conjecture,
    ndr1_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_3,c_0_4]),c_0_5]),c_0_6]),
    [final] ).

cnf(c_0_10,negated_conjecture,
    ( c3_1(a123)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_11,negated_conjecture,
    ( ~ c1_1(a123)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_12,negated_conjecture,
    ( ~ c0_1(a123)
    | ~ hskp11 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_13,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X3)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_7]) ).

cnf(c_0_14,negated_conjecture,
    ( c0_1(a116)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_15,negated_conjecture,
    ( hskp7
    | hskp17
    | hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_16,negated_conjecture,
    ( c1_1(a116)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_17,negated_conjecture,
    ( hskp21
    | hskp10
    | c0_1(X1)
    | c1_1(X1)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_8,c_0_9])]),
    [final] ).

cnf(c_0_18,negated_conjecture,
    ( hskp7
    | hskp6
    | c3_1(a123) ),
    inference(spm,[status(thm)],[c_0_10,c_0_4]),
    [final] ).

cnf(c_0_19,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ c1_1(a123) ),
    inference(spm,[status(thm)],[c_0_11,c_0_4]),
    [final] ).

cnf(c_0_20,negated_conjecture,
    ( hskp7
    | hskp6
    | ~ c0_1(a123) ),
    inference(spm,[status(thm)],[c_0_12,c_0_4]),
    [final] ).

cnf(c_0_21,negated_conjecture,
    ( c2_1(X1)
    | c3_1(X1)
    | hskp5
    | c3_1(X2)
    | ~ ndr1_0
    | ~ c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_22,negated_conjecture,
    ( c2_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c0_1(X1)
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X2)
    | ~ c1_1(X2)
    | ~ c0_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_23,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X3)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_13,c_0_9])]),
    [final] ).

cnf(c_0_24,negated_conjecture,
    ( hskp17
    | hskp7
    | c0_1(a116) ),
    inference(spm,[status(thm)],[c_0_14,c_0_15]),
    [final] ).

cnf(c_0_25,negated_conjecture,
    ( hskp17
    | hskp7
    | c1_1(a116) ),
    inference(spm,[status(thm)],[c_0_16,c_0_15]),
    [final] ).

cnf(c_0_26,negated_conjecture,
    ( c1_1(a121)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_27,negated_conjecture,
    ( hskp21
    | hskp10
    | hskp7
    | hskp6 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]),c_0_20]),
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( c3_1(a121)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_29,negated_conjecture,
    ( c0_1(X1)
    | hskp12
    | hskp13
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_30,negated_conjecture,
    ( c2_1(a121)
    | ~ hskp21 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( c2_1(a119)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( hskp8
    | hskp20
    | hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_33,negated_conjecture,
    ( c1_1(a119)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_34,negated_conjecture,
    ( ~ c0_1(a119)
    | ~ hskp20 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_35,negated_conjecture,
    ( hskp5
    | c3_1(X2)
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2)
    | ~ c2_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_21]) ).

cnf(c_0_36,negated_conjecture,
    ( ~ c3_1(a116)
    | ~ hskp18 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_37,negated_conjecture,
    ( c2_1(X3)
    | c0_1(X3)
    | ~ ndr1_0
    | ~ c3_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X1)
    | ~ c1_1(X2)
    | ~ c1_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X1) ),
    inference(cn,[status(thm)],[c_0_22]) ).

cnf(c_0_38,negated_conjecture,
    ( hskp17
    | hskp7
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a116)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]),
    [final] ).

cnf(c_0_39,negated_conjecture,
    ( hskp10
    | hskp7
    | hskp6
    | c1_1(a121) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]),
    [final] ).

cnf(c_0_40,negated_conjecture,
    ( hskp10
    | hskp7
    | hskp6
    | c3_1(a121) ),
    inference(spm,[status(thm)],[c_0_28,c_0_27]),
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( hskp13
    | hskp12
    | c0_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_29,c_0_9])]),
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( hskp10
    | hskp7
    | hskp6
    | c2_1(a121) ),
    inference(spm,[status(thm)],[c_0_30,c_0_27]),
    [final] ).

cnf(c_0_43,negated_conjecture,
    ( hskp9
    | hskp8
    | c2_1(a119) ),
    inference(spm,[status(thm)],[c_0_31,c_0_32]),
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( hskp9
    | hskp8
    | c1_1(a119) ),
    inference(spm,[status(thm)],[c_0_33,c_0_32]),
    [final] ).

cnf(c_0_45,negated_conjecture,
    ( hskp9
    | hskp8
    | ~ c0_1(a119) ),
    inference(spm,[status(thm)],[c_0_34,c_0_32]),
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( hskp5
    | c2_1(X1)
    | c3_1(X1)
    | c3_1(X2)
    | ~ c0_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_35,c_0_9])]),
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( hskp17
    | hskp7
    | ~ c3_1(a116) ),
    inference(spm,[status(thm)],[c_0_36,c_0_15]),
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c0_1(X3)
    | ~ c1_1(X2)
    | ~ c1_1(X3)
    | ~ c3_1(X1)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_37,c_0_9])]),
    [final] ).

cnf(c_0_49,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(a121)
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40]),
    [final] ).

cnf(c_0_50,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(a121) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_39]),
    [final] ).

cnf(c_0_51,negated_conjecture,
    ( c0_1(X1)
    | c2_1(X1)
    | c1_1(X2)
    | c0_1(X2)
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X2)
    | ~ ndr1_0
    | ~ c2_1(X3)
    | ~ c0_1(X3)
    | ~ c1_1(X3) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_52,negated_conjecture,
    ( ~ c3_1(a127)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_53,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp9
    | hskp8 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_43]),c_0_44]),c_0_45]),
    [final] ).

cnf(c_0_54,negated_conjecture,
    ( hskp6
    | hskp16
    | c3_1(X1)
    | c0_1(X1)
    | c1_1(X1)
    | ~ ndr1_0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_55,negated_conjecture,
    ( ~ c1_1(a127)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_56,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp5
    | c2_1(a116)
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_24]),c_0_47]),
    [final] ).

cnf(c_0_57,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a116)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c1_1(X3)
    | ~ c3_1(X2)
    | ~ c3_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_49]),c_0_40]),c_0_39]),c_0_38]) ).

cnf(c_0_58,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ c0_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1)
    | ~ c3_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_50]),c_0_40]),c_0_39]) ).

cnf(c_0_59,negated_conjecture,
    ( hskp1
    | c3_1(X1)
    | c0_1(X1)
    | hskp2
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_60,negated_conjecture,
    ( hskp0
    | c3_1(X1)
    | hskp15
    | ~ ndr1_0
    | ~ c1_1(X1)
    | ~ c2_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_61,negated_conjecture,
    ( hskp14
    | hskp22
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_62,negated_conjecture,
    ( c2_1(X1)
    | c0_1(X1)
    | hskp19
    | c3_1(X2)
    | c2_1(X2)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_63,negated_conjecture,
    ( c1_1(X2)
    | c2_1(X1)
    | c0_1(X2)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X3)
    | ~ c1_1(X1)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c0_1(X3) ),
    inference(cn,[status(thm)],[c_0_51]) ).

cnf(c_0_64,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | ~ c3_1(a127) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]),
    [final] ).

cnf(c_0_65,negated_conjecture,
    ( hskp16
    | hskp6
    | c0_1(X1)
    | c1_1(X1)
    | c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_9])]),
    [final] ).

cnf(c_0_66,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | ~ c1_1(a127) ),
    inference(spm,[status(thm)],[c_0_55,c_0_53]),
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( ~ c2_1(a127)
    | ~ hskp13 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1)
    | ~ c3_1(a119) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_44]),c_0_45]),
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp5
    | c2_1(a116)
    | c3_1(a119) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_56,c_0_43]),c_0_44]),
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a116)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_39]),c_0_40]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( hskp3
    | hskp4
    | c3_1(X1)
    | ~ ndr1_0
    | ~ c2_1(X1)
    | ~ c0_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_72,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_50]),c_0_40]),c_0_39]),
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( hskp23
    | hskp24
    | c3_1(X1)
    | c2_1(X1)
    | ~ ndr1_0
    | ~ c1_1(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]) ).

cnf(c_0_74,negated_conjecture,
    ( hskp2
    | c0_1(X1)
    | hskp1
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_9])]),
    [final] ).

cnf(c_0_75,negated_conjecture,
    ( hskp15
    | c3_1(X1)
    | hskp0
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_60,c_0_9])]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( hskp22
    | hskp14
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_9])]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( hskp19
    | c3_1(X2)
    | c2_1(X2)
    | c2_1(X1)
    | c0_1(X1)
    | ~ ndr1_0
    | ~ c3_1(X1)
    | ~ c1_1(X2) ),
    inference(cn,[status(thm)],[c_0_62]) ).

cnf(c_0_78,negated_conjecture,
    ( c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c0_1(X3)
    | ~ c2_1(X3)
    | ~ c2_1(X2)
    | ~ c1_1(X3)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_9])]),
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp6
    | c0_1(a127) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_65]),c_0_66]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( hskp12
    | hskp9
    | hskp8
    | ~ c2_1(a127) ),
    inference(spm,[status(thm)],[c_0_67,c_0_53]),
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp5
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(a123)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_18]),c_0_20]) ).

cnf(c_0_83,negated_conjecture,
    ( hskp4
    | hskp3
    | c3_1(X1)
    | ~ c0_1(X1)
    | ~ c2_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_9])]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_65]),
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( hskp24
    | hskp23
    | c2_1(X1)
    | c3_1(X1)
    | ~ c1_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_9])]),
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( hskp9
    | hskp8
    | hskp2
    | hskp1
    | c3_1(a119) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_44]),c_0_45]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( hskp15
    | hskp9
    | hskp8
    | c3_1(a119)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_43]),c_0_44]),
    [final] ).

cnf(c_0_88,negated_conjecture,
    ( hskp22
    | hskp14
    | hskp9
    | hskp8
    | c3_1(a119) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_43]),c_0_44]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( hskp19
    | c0_1(X1)
    | c2_1(X1)
    | c2_1(X2)
    | c3_1(X2)
    | ~ c1_1(X2)
    | ~ c3_1(X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_77,c_0_9])]),
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( hskp17
    | hskp7
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X2)
    | c1_1(X1)
    | ~ c2_1(a116)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_24]),c_0_25]),
    [final] ).

cnf(c_0_91,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp6
    | hskp5
    | c3_1(X1)
    | ~ c2_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_79]),c_0_64]),c_0_80]),
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c2_1(a123)
    | c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_81]),c_0_19]),
    [final] ).

cnf(c_0_93,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c2_1(a116)
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_82]),c_0_19]),
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( hskp17
    | hskp7
    | hskp4
    | hskp3
    | ~ c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_24]),c_0_47]),
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( hskp16
    | hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_84]),
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp7
    | c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp2
    | c0_1(X1)
    | hskp1
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_86]),
    [final] ).

cnf(c_0_98,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | hskp6
    | c0_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_65]),
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp9
    | hskp8
    | hskp7
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1)
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_68,c_0_87]),
    [final] ).

cnf(c_0_100,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp14
    | hskp9
    | hskp8
    | hskp7
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_88]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp7
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | ~ c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c0_1(X3)
    | c2_1(X1)
    | c2_1(X3)
    | c1_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X3) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_49]),c_0_39]),c_0_42]),c_0_90]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_92]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp14
    | hskp10
    | hskp7
    | hskp6
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_93]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp10
    | hskp7
    | hskp6
    | c2_1(a123)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_93]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_106,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | hskp4
    | hskp3
    | c2_1(a123) ),
    inference(spm,[status(thm)],[c_0_94,c_0_93]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a116)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_65]) ).

cnf(c_0_108,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp16
    | hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | hskp5
    | c2_1(X1)
    | c3_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_25]),c_0_47]),c_0_85]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp2
    | hskp1
    | c2_1(a123)
    | c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_97]),c_0_19]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | hskp6
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(X2)
    | c3_1(X1)
    | ~ c2_1(X2)
    | ~ c1_1(X2) ),
    inference(spm,[status(thm)],[c_0_46,c_0_98]),
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | c2_1(a123)
    | c2_1(a116)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_99]),c_0_19]) ).

cnf(c_0_112,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp14
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | c2_1(a123)
    | c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_100]),c_0_19]) ).

cnf(c_0_113,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | ~ c2_1(X1)
    | ~ c1_1(X2) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_78,c_0_50]),c_0_39]),c_0_42]),c_0_41]),c_0_41]) ).

cnf(c_0_114,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_18]),c_0_20]),
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp7
    | hskp6
    | c2_1(a123)
    | c2_1(a116) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_101,c_0_18]),c_0_20]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( c0_1(a131)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_96]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ c1_1(a131)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( c3_1(a131)
    | ~ hskp24 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp15
    | hskp7
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_96]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_121,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp22
    | hskp17
    | hskp14
    | hskp7 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_96]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp7
    | hskp4
    | hskp3 ),
    inference(spm,[status(thm)],[c_0_94,c_0_96]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp12
    | hskp10
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_103]),c_0_19]),c_0_20]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp14
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_104]),c_0_19]),c_0_20]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | hskp0
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_105]),c_0_19]),c_0_20]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | hskp4
    | hskp3
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c2_1(X2)
    | c1_1(X2)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_102,c_0_106]),c_0_19]),c_0_20]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( hskp17
    | hskp16
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(ef,[status(thm)],[c_0_107]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( hskp17
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a123)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_93]),
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp16
    | hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | hskp5
    | c0_1(X1)
    | c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_108]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp2
    | c0_1(X1)
    | c0_1(X2)
    | hskp1
    | c2_1(a123)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_109]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a123)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_92]),
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | hskp9
    | hskp8
    | hskp6
    | hskp5
    | c2_1(X1)
    | c1_1(X1)
    | c3_1(a119)
    | c3_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_110,c_0_43]),c_0_44]),
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp4
    | hskp3
    | hskp2
    | hskp1
    | c2_1(a123) ),
    inference(spm,[status(thm)],[c_0_94,c_0_109]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( hskp17
    | hskp15
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | c2_1(a123)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_111]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( hskp22
    | hskp17
    | hskp14
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_112]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_136,negated_conjecture,
    ( hskp13
    | hskp12
    | hskp10
    | hskp7
    | hskp6
    | c0_1(X1)
    | ~ c1_1(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_113,c_0_114]),c_0_20]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( hskp17
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | hskp4
    | hskp3
    | c2_1(a123) ),
    inference(spm,[status(thm)],[c_0_94,c_0_92]),
    [final] ).

cnf(c_0_138,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp7
    | hskp6
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(a123)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_115]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp16
    | hskp7
    | hskp6
    | c0_1(X1)
    | c2_1(a116)
    | c2_1(X1)
    | c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_65]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp15
    | hskp7
    | hskp6
    | c2_1(a123)
    | hskp0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_115]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    ( hskp22
    | hskp19
    | hskp17
    | hskp14
    | hskp7
    | hskp6
    | c2_1(a123) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_115]),c_0_25]),c_0_47]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( hskp19
    | hskp17
    | hskp7
    | hskp6
    | hskp4
    | hskp3
    | c2_1(a123) ),
    inference(spm,[status(thm)],[c_0_94,c_0_115]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( hskp24
    | hskp23
    | hskp17
    | hskp7
    | c0_1(X1)
    | c0_1(X2)
    | c2_1(X1)
    | c1_1(X2)
    | ~ c2_1(X2)
    | ~ c1_1(X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_96]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c0_1(a131) ),
    inference(spm,[status(thm)],[c_0_116,c_0_117]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | ~ c1_1(a131) ),
    inference(spm,[status(thm)],[c_0_118,c_0_117]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp7
    | hskp6
    | hskp5
    | c3_1(a131) ),
    inference(spm,[status(thm)],[c_0_119,c_0_117]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( hskp16
    | hskp12
    | hskp9
    | hskp8
    | hskp6
    | hskp5
    | c3_1(a119) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_91,c_0_43]),c_0_44]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    ( hskp21
    | hskp16
    | hskp10
    | hskp6
    | hskp4
    | hskp3
    | c1_1(X1)
    | c3_1(X1)
    | ~ c2_1(X1) ),
    inference(spm,[status(thm)],[c_0_83,c_0_98]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp15
    | hskp7
    | c0_1(a131)
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_116,c_0_120]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp15
    | hskp7
    | c3_1(a131)
    | hskp0 ),
    inference(spm,[status(thm)],[c_0_119,c_0_120]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp15
    | hskp7
    | hskp0
    | ~ c1_1(a131) ),
    inference(spm,[status(thm)],[c_0_118,c_0_120]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp17
    | hskp14
    | hskp7
    | c0_1(a131) ),
    inference(spm,[status(thm)],[c_0_116,c_0_121]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp17
    | hskp14
    | hskp7
    | c3_1(a131) ),
    inference(spm,[status(thm)],[c_0_119,c_0_121]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( hskp23
    | hskp22
    | hskp17
    | hskp14
    | hskp7
    | ~ c1_1(a131) ),
    inference(spm,[status(thm)],[c_0_118,c_0_121]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp7
    | hskp4
    | hskp3
    | c0_1(a131) ),
    inference(spm,[status(thm)],[c_0_116,c_0_122]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp7
    | hskp4
    | hskp3
    | c3_1(a131) ),
    inference(spm,[status(thm)],[c_0_119,c_0_122]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( hskp23
    | hskp17
    | hskp7
    | hskp4
    | hskp3
    | ~ c1_1(a131) ),
    inference(spm,[status(thm)],[c_0_118,c_0_122]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( c0_1(a117)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( c0_1(a113)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( c0_1(a126)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( c0_1(a111)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( c2_1(a115)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( c2_1(a122)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( c2_1(a114)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( c2_1(a111)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( c1_1(a129)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ c2_1(a130)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ c1_1(a130)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ c0_1(a129)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( ~ c3_1(a129)
    | ~ hskp22 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( ~ c2_1(a117)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( ~ c1_1(a117)
    | ~ hskp19 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( c1_1(a115)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( c1_1(a126)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( ~ c0_1(a115)
    | ~ hskp17 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ c1_1(a113)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_177,negated_conjecture,
    ( ~ c3_1(a113)
    | ~ hskp16 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ c0_1(a106)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( c1_1(a114)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( ~ c2_1(a106)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( ~ c0_1(a128)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ c2_1(a128)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( c3_1(a130)
    | ~ hskp23 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ c3_1(a126)
    | ~ hskp12 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_185,negated_conjecture,
    ( ~ c1_1(a122)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( ~ c3_1(a122)
    | ~ hskp10 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( ~ c0_1(a120)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( c3_1(a106)
    | ~ hskp15 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ c2_1(a120)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ c1_1(a120)
    | ~ hskp9 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ c0_1(a118)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ c2_1(a118)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( c3_1(a128)
    | ~ hskp14 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ c1_1(a118)
    | ~ hskp8 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ c0_1(a114)
    | ~ hskp7 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ c0_1(a112)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ c2_1(a112)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ c1_1(a112)
    | ~ hskp6 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ c1_1(a111)
    | ~ hskp5 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ c2_1(a110)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ c1_1(a110)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( c3_1(a109)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ c3_1(a110)
    | ~ hskp4 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ c2_1(a109)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ c1_1(a109)
    | ~ hskp3 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ c2_1(a108)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( c3_1(a108)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( ~ c1_1(a108)
    | ~ hskp2 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( ~ c0_1(a107)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( ~ c1_1(a107)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( ~ c3_1(a107)
    | ~ hskp1 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( c3_1(a105)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_213,negated_conjecture,
    ( ~ c2_1(a105)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_214,negated_conjecture,
    ( ~ c1_1(a105)
    | ~ hskp0 ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN430+1 : TPTP v9.2.1. Released v2.1.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.17/0.33  % Computer : n020.cluster.edu
% 0.17/0.33  % Model    : x86_64 x86_64
% 0.17/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.33  % Memory   : 8042.1875MB
% 0.17/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.17/0.33  % CPULimit   : 300
% 0.17/0.33  % WCLimit    : 300
% 0.17/0.33  % DateTime   : Tue May  5 08:32:20 EDT 2026
% 0.17/0.33  % CPUTime    : 
% 0.17/0.34  % start to proof: theBenchmark
% 1.36/1.74  % Version  : CSE_E---1.7
% 1.36/1.74  % Problem  : theBenchmark.p
% 1.36/1.74  % SZS status CounterSatisfiable for theBenchmark.p
% 1.36/1.74  % SZS output start Saturation
% See solution above
% 1.36/1.74  % Total time : 1.371s
%------------------------------------------------------------------------------