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CSE_E---1.7.CSA-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : LCL651+1.001 : TPTP v9.2.1. Released v4.0.0.
% 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 : 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 : Tue May  5 04:42:39 PM UTC 2026

% Result   : CounterSatisfiable 1.29s 1.72s
% Output   : Saturation 1.29s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
fof(main,conjecture,
    ~ ? [X1] :
        ~ ( ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ( ~ p10(X2)
                                & ~ p8(X2)
                                & ~ p6(X2)
                                & ~ p4(X2)
                                & ~ p2(X2) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | p6(X2) )
          | ~ ! [X2] :
                ( ~ r1(X1,X2)
                | ~ ( ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ! [X1] :
                                  ( ~ r1(X2,X1)
                                  | ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ( ~ p4(X2)
                                            & ~ p1(X2) )
                                          | ( p1(X2)
                                            & p4(X2) ) ) ) ) ) )
                    | ! [X1] :
                        ( ~ r1(X2,X1)
                        | p5(X1) )
                    | ~ ! [X1] :
                          ( ~ r1(X2,X1)
                          | ~ ( ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ! [X1] :
                                        ( ~ r1(X2,X1)
                                        | ! [X2] :
                                            ( ~ r1(X1,X2)
                                            | ~ ( ( ~ p3(X2)
                                                  & ~ p4(X2) )
                                                | ( p4(X2)
                                                  & p3(X2) ) ) ) ) )
                              | ! [X2] :
                                  ( ~ r1(X1,X2)
                                  | p4(X2) )
                              | ~ ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | ~ ( ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ! [X2] :
                                                  ( ~ r1(X1,X2)
                                                  | ~ ( ( ~ p2(X2)
                                                        & ~ p3(X2) )
                                                      | ( p3(X2)
                                                        & p2(X2) ) ) ) )
                                        | ! [X1] :
                                            ( ~ r1(X2,X1)
                                            | p3(X1) )
                                        | ~ ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | ~ ~ ! [X2] :
                                                      ( ~ r1(X1,X2)
                                                      | ~ ( ( ~ p1(X2)
                                                            & ~ p2(X2) )
                                                          | ( p2(X2)
                                                            & p1(X2) ) ) ) ) ) ) ) ) ) )
          | ! [X2] :
              ( ~ r1(X1,X2)
              | ! [X1] :
                  ( ~ r1(X2,X1)
                  | ! [X2] :
                      ( ~ r1(X1,X2)
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | ! [X2] :
                              ( ~ r1(X1,X2)
                              | ( p5(X2)
                                & p4(X2)
                                & p3(X2)
                                & p2(X2)
                                & p1(X2) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

fof(c_0_1,negated_conjecture,
    ~ ~ ? [X1] :
          ~ ( ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ( ~ p10(X2)
                                  & ~ p8(X2)
                                  & ~ p6(X2)
                                  & ~ p4(X2)
                                  & ~ p2(X2) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | p6(X2) )
            | ~ ! [X2] :
                  ( ~ r1(X1,X2)
                  | ~ ( ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ! [X1] :
                                    ( ~ r1(X2,X1)
                                    | ! [X2] :
                                        ( ~ r1(X1,X2)
                                        | ~ ( ( ~ p4(X2)
                                              & ~ p1(X2) )
                                            | ( p1(X2)
                                              & p4(X2) ) ) ) ) ) )
                      | ! [X1] :
                          ( ~ r1(X2,X1)
                          | p5(X1) )
                      | ~ ! [X1] :
                            ( ~ r1(X2,X1)
                            | ~ ( ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ! [X1] :
                                          ( ~ r1(X2,X1)
                                          | ! [X2] :
                                              ( ~ r1(X1,X2)
                                              | ~ ( ( ~ p3(X2)
                                                    & ~ p4(X2) )
                                                  | ( p4(X2)
                                                    & p3(X2) ) ) ) ) )
                                | ! [X2] :
                                    ( ~ r1(X1,X2)
                                    | p4(X2) )
                                | ~ ! [X2] :
                                      ( ~ r1(X1,X2)
                                      | ~ ( ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ! [X2] :
                                                    ( ~ r1(X1,X2)
                                                    | ~ ( ( ~ p2(X2)
                                                          & ~ p3(X2) )
                                                        | ( p3(X2)
                                                          & p2(X2) ) ) ) )
                                          | ! [X1] :
                                              ( ~ r1(X2,X1)
                                              | p3(X1) )
                                          | ~ ! [X1] :
                                                ( ~ r1(X2,X1)
                                                | ~ ~ ! [X2] :
                                                        ( ~ r1(X1,X2)
                                                        | ~ ( ( ~ p1(X2)
                                                              & ~ p2(X2) )
                                                            | ( p2(X2)
                                                              & p1(X2) ) ) ) ) ) ) ) ) ) )
            | ! [X2] :
                ( ~ r1(X1,X2)
                | ! [X1] :
                    ( ~ r1(X2,X1)
                    | ! [X2] :
                        ( ~ r1(X1,X2)
                        | ! [X1] :
                            ( ~ r1(X2,X1)
                            | ! [X2] :
                                ( ~ r1(X1,X2)
                                | ( p5(X2)
                                  & p4(X2)
                                  & p3(X2)
                                  & p2(X2)
                                  & p1(X2) ) ) ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[main])]) ).

fof(c_0_2,negated_conjecture,
    ! [X39,X40,X41,X42,X43,X45,X46,X47,X48,X50,X51,X52,X54,X55] :
      ( r1(esk1_0,esk2_0)
      & r1(esk2_0,esk3_0)
      & r1(esk3_0,esk4_0)
      & r1(esk4_0,esk5_0)
      & r1(esk5_0,esk6_0)
      & ( p10(esk6_0)
        | p8(esk6_0)
        | p6(esk6_0)
        | p4(esk6_0)
        | p2(esk6_0) )
      & r1(esk1_0,esk7_0)
      & ~ p6(esk7_0)
      & ( p4(X43)
        | p1(X43)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X40,X41)
        | ~ r1(X39,X40)
        | ~ r1(esk1_0,X39) )
      & ( ~ p1(X43)
        | ~ p4(X43)
        | ~ r1(X42,X43)
        | ~ r1(X41,X42)
        | ~ r1(X40,X41)
        | ~ r1(X39,X40)
        | ~ r1(esk1_0,X39) )
      & ( r1(X39,esk8_1(X39))
        | ~ r1(esk1_0,X39) )
      & ( ~ p5(esk8_1(X39))
        | ~ r1(esk1_0,X39) )
      & ( p3(X48)
        | p4(X48)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( ~ p4(X48)
        | ~ p3(X48)
        | ~ r1(X47,X48)
        | ~ r1(X46,X47)
        | ~ r1(X45,X46)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( r1(X45,esk9_2(X39,X45))
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( ~ p4(esk9_2(X39,X45))
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( p2(X52)
        | p3(X52)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( ~ p3(X52)
        | ~ p2(X52)
        | ~ r1(X51,X52)
        | ~ r1(X50,X51)
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( r1(X50,esk10_3(X39,X45,X50))
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( ~ p3(esk10_3(X39,X45,X50))
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( p1(X55)
        | p2(X55)
        | ~ r1(X54,X55)
        | ~ r1(X50,X54)
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & ( ~ p2(X55)
        | ~ p1(X55)
        | ~ r1(X54,X55)
        | ~ r1(X50,X54)
        | ~ r1(X45,X50)
        | ~ r1(X39,X45)
        | ~ r1(esk1_0,X39) )
      & r1(esk1_0,esk11_0)
      & r1(esk11_0,esk12_0)
      & r1(esk12_0,esk13_0)
      & r1(esk13_0,esk14_0)
      & r1(esk14_0,esk15_0)
      & ( ~ p5(esk15_0)
        | ~ p4(esk15_0)
        | ~ p3(esk15_0)
        | ~ p2(esk15_0)
        | ~ p1(esk15_0) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])])])]) ).

cnf(c_0_3,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_4,negated_conjecture,
    r1(esk1_0,esk2_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_5,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_6,negated_conjecture,
    r1(esk1_0,esk11_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_7,negated_conjecture,
    ( ~ p2(X1)
    | ~ p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_8,negated_conjecture,
    ( p4(X1)
    | p1(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_9,negated_conjecture,
    ( p2(X1)
    | p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_10,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_4]),
    [final] ).

cnf(c_0_11,negated_conjecture,
    r1(esk2_0,esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_12,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_4]),
    [final] ).

cnf(c_0_13,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_6]),
    [final] ).

cnf(c_0_14,negated_conjecture,
    r1(esk11_0,esk12_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_15,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_6]),
    [final] ).

cnf(c_0_16,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_17,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_18,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_4]),
    [final] ).

cnf(c_0_19,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_4]),
    [final] ).

cnf(c_0_20,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_6]),
    [final] ).

cnf(c_0_21,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_6]),
    [final] ).

cnf(c_0_22,negated_conjecture,
    ( ~ p4(X1)
    | ~ p3(X1)
    | ~ r1(X2,X1)
    | ~ r1(X3,X2)
    | ~ r1(X4,X3)
    | ~ r1(X5,X4)
    | ~ r1(esk1_0,X5) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_23,negated_conjecture,
    ( r1(X1,esk8_1(X1))
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_24,negated_conjecture,
    ( r1(X1,esk9_2(X2,X1))
    | ~ r1(X2,X1)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_25,negated_conjecture,
    ( r1(X1,esk10_3(X2,X3,X1))
    | ~ r1(X3,X1)
    | ~ r1(X2,X3)
    | ~ r1(esk1_0,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_26,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_4]),
    [final] ).

cnf(c_0_27,negated_conjecture,
    r1(esk1_0,esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_28,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_6]),
    [final] ).

cnf(c_0_29,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_11]),
    [final] ).

cnf(c_0_30,negated_conjecture,
    r1(esk3_0,esk4_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_31,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_11]),
    [final] ).

cnf(c_0_32,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_14]),
    [final] ).

cnf(c_0_33,negated_conjecture,
    r1(esk12_0,esk13_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_34,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_14]),
    [final] ).

cnf(c_0_35,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_4]),
    [final] ).

cnf(c_0_36,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_6]),
    [final] ).

cnf(c_0_37,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_4]),
    [final] ).

cnf(c_0_38,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_6]),
    [final] ).

cnf(c_0_39,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_11]),
    [final] ).

cnf(c_0_40,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_11]),
    [final] ).

cnf(c_0_41,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_14]),
    [final] ).

cnf(c_0_42,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_14]),
    [final] ).

cnf(c_0_43,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_4]),
    [final] ).

cnf(c_0_44,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_6]),
    [final] ).

cnf(c_0_45,negated_conjecture,
    r1(esk2_0,esk8_1(esk2_0)),
    inference(spm,[status(thm)],[c_0_23,c_0_4]),
    [final] ).

cnf(c_0_46,negated_conjecture,
    ( r1(X1,esk9_2(esk2_0,X1))
    | ~ r1(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_4]),
    [final] ).

cnf(c_0_47,negated_conjecture,
    ( r1(X1,esk10_3(esk2_0,X2,X1))
    | ~ r1(esk2_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_4]),
    [final] ).

cnf(c_0_48,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_11]),
    [final] ).

cnf(c_0_49,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_9,c_0_27]),
    [final] ).

cnf(c_0_50,negated_conjecture,
    r1(esk7_0,esk8_1(esk7_0)),
    inference(spm,[status(thm)],[c_0_23,c_0_27]),
    [final] ).

cnf(c_0_51,negated_conjecture,
    ( r1(X1,esk9_2(esk7_0,X1))
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_27]),
    [final] ).

cnf(c_0_52,negated_conjecture,
    ( r1(X1,esk10_3(esk7_0,X2,X1))
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_27]),
    [final] ).

cnf(c_0_53,negated_conjecture,
    r1(esk11_0,esk8_1(esk11_0)),
    inference(spm,[status(thm)],[c_0_23,c_0_6]),
    [final] ).

cnf(c_0_54,negated_conjecture,
    ( r1(X1,esk9_2(esk11_0,X1))
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_24,c_0_6]),
    [final] ).

cnf(c_0_55,negated_conjecture,
    ( r1(X1,esk10_3(esk11_0,X2,X1))
    | ~ r1(esk11_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_25,c_0_6]),
    [final] ).

cnf(c_0_56,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_14]),
    [final] ).

cnf(c_0_57,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_30]),
    [final] ).

cnf(c_0_58,negated_conjecture,
    r1(esk4_0,esk5_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_59,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_30]),
    [final] ).

cnf(c_0_60,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_5,c_0_27]),
    [final] ).

cnf(c_0_61,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_16,c_0_27]),
    [final] ).

cnf(c_0_62,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_33]),
    [final] ).

cnf(c_0_63,negated_conjecture,
    r1(esk13_0,esk14_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_64,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_33]),
    [final] ).

cnf(c_0_65,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_11]),
    [final] ).

cnf(c_0_66,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_14]),
    [final] ).

cnf(c_0_67,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_11]),
    [final] ).

cnf(c_0_68,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_8,c_0_27]),
    [final] ).

cnf(c_0_69,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_17,c_0_27]),
    [final] ).

cnf(c_0_70,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_14]),
    [final] ).

cnf(c_0_71,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_30]),
    [final] ).

cnf(c_0_72,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_30]),
    [final] ).

cnf(c_0_73,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_7,c_0_27]),
    [final] ).

cnf(c_0_74,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_33]),
    [final] ).

cnf(c_0_75,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_33]),
    [final] ).

cnf(c_0_76,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk3_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_11]),
    [final] ).

cnf(c_0_77,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_22,c_0_27]),
    [final] ).

cnf(c_0_78,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk12_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_14]),
    [final] ).

cnf(c_0_79,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk7_0,X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X4)
    | ~ r1(X4,X1) ),
    inference(spm,[status(thm)],[c_0_3,c_0_27]),
    [final] ).

cnf(c_0_80,negated_conjecture,
    ( ~ p3(esk10_3(X1,X2,X3))
    | ~ r1(X2,X3)
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_81,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_26,c_0_45]),
    [final] ).

cnf(c_0_82,negated_conjecture,
    r1(esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),
    inference(spm,[status(thm)],[c_0_46,c_0_45]),
    [final] ).

cnf(c_0_83,negated_conjecture,
    ( r1(X1,esk10_3(esk2_0,esk8_1(esk2_0),X1))
    | ~ r1(esk8_1(esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_45]),
    [final] ).

cnf(c_0_84,negated_conjecture,
    r1(esk3_0,esk9_2(esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_46,c_0_11]),
    [final] ).

cnf(c_0_85,negated_conjecture,
    ( r1(X1,esk10_3(esk2_0,esk3_0,X1))
    | ~ r1(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_47,c_0_11]),
    [final] ).

cnf(c_0_86,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_30]),
    [final] ).

cnf(c_0_87,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_49,c_0_50]),
    [final] ).

cnf(c_0_88,negated_conjecture,
    r1(esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),
    inference(spm,[status(thm)],[c_0_51,c_0_50]),
    [final] ).

cnf(c_0_89,negated_conjecture,
    ( r1(X1,esk10_3(esk7_0,esk8_1(esk7_0),X1))
    | ~ r1(esk8_1(esk7_0),X1) ),
    inference(spm,[status(thm)],[c_0_52,c_0_50]),
    [final] ).

cnf(c_0_90,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_28,c_0_53]),
    [final] ).

cnf(c_0_91,negated_conjecture,
    r1(esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),
    inference(spm,[status(thm)],[c_0_54,c_0_53]),
    [final] ).

cnf(c_0_92,negated_conjecture,
    ( r1(X1,esk10_3(esk11_0,esk8_1(esk11_0),X1))
    | ~ r1(esk8_1(esk11_0),X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_53]),
    [final] ).

cnf(c_0_93,negated_conjecture,
    r1(esk12_0,esk9_2(esk11_0,esk12_0)),
    inference(spm,[status(thm)],[c_0_54,c_0_14]),
    [final] ).

cnf(c_0_94,negated_conjecture,
    ( r1(X1,esk10_3(esk11_0,esk12_0,X1))
    | ~ r1(esk12_0,X1) ),
    inference(spm,[status(thm)],[c_0_55,c_0_14]),
    [final] ).

cnf(c_0_95,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_12,c_0_45]),
    [final] ).

cnf(c_0_96,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_33]),
    [final] ).

cnf(c_0_97,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]),
    [final] ).

cnf(c_0_98,negated_conjecture,
    r1(esk5_0,esk6_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_99,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_58]),
    [final] ).

cnf(c_0_100,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_60,c_0_50]),
    [final] ).

cnf(c_0_101,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_15,c_0_53]),
    [final] ).

cnf(c_0_102,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_35,c_0_45]),
    [final] ).

cnf(c_0_103,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_61,c_0_50]),
    [final] ).

cnf(c_0_104,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_36,c_0_53]),
    [final] ).

cnf(c_0_105,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_63]),
    [final] ).

cnf(c_0_106,negated_conjecture,
    r1(esk14_0,esk15_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_107,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_63]),
    [final] ).

cnf(c_0_108,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_30]),
    [final] ).

cnf(c_0_109,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_33]),
    [final] ).

cnf(c_0_110,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_37,c_0_45]),
    [final] ).

cnf(c_0_111,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_30]),
    [final] ).

cnf(c_0_112,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_19,c_0_45]),
    [final] ).

cnf(c_0_113,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_68,c_0_50]),
    [final] ).

cnf(c_0_114,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_69,c_0_50]),
    [final] ).

cnf(c_0_115,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_38,c_0_53]),
    [final] ).

cnf(c_0_116,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_18,c_0_45]),
    [final] ).

cnf(c_0_117,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_33]),
    [final] ).

cnf(c_0_118,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_58]),
    [final] ).

cnf(c_0_119,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_58]),
    [final] ).

cnf(c_0_120,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_21,c_0_53]),
    [final] ).

cnf(c_0_121,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_73,c_0_50]),
    [final] ).

cnf(c_0_122,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_20,c_0_53]),
    [final] ).

cnf(c_0_123,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_63]),
    [final] ).

cnf(c_0_124,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_63]),
    [final] ).

cnf(c_0_125,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_43,c_0_45]),
    [final] ).

cnf(c_0_126,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk4_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_30]),
    [final] ).

cnf(c_0_127,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_77,c_0_50]),
    [final] ).

cnf(c_0_128,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_44,c_0_53]),
    [final] ).

cnf(c_0_129,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk2_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_10,c_0_45]),
    [final] ).

cnf(c_0_130,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk13_0,X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_33]),
    [final] ).

cnf(c_0_131,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk7_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_79,c_0_50]),
    [final] ).

cnf(c_0_132,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk8_1(esk11_0),X2)
    | ~ r1(X2,X3)
    | ~ r1(X3,X1) ),
    inference(spm,[status(thm)],[c_0_13,c_0_53]),
    [final] ).

cnf(c_0_133,negated_conjecture,
    ( ~ p3(esk10_3(esk2_0,X1,X2))
    | ~ r1(esk2_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_4]),
    [final] ).

cnf(c_0_134,negated_conjecture,
    ( ~ p3(esk10_3(esk7_0,X1,X2))
    | ~ r1(esk7_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_27]),
    [final] ).

cnf(c_0_135,negated_conjecture,
    ( ~ p3(esk10_3(esk11_0,X1,X2))
    | ~ r1(esk11_0,X1)
    | ~ r1(X1,X2) ),
    inference(spm,[status(thm)],[c_0_80,c_0_6]),
    [final] ).

cnf(c_0_136,negated_conjecture,
    ( ~ p4(esk9_2(X1,X2))
    | ~ r1(X1,X2)
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_137,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_81,c_0_82]),
    [final] ).

cnf(c_0_138,negated_conjecture,
    r1(esk9_2(esk2_0,esk8_1(esk2_0)),esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0)))),
    inference(spm,[status(thm)],[c_0_83,c_0_82]),
    [final] ).

cnf(c_0_139,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_48,c_0_84]),
    [final] ).

cnf(c_0_140,negated_conjecture,
    r1(esk9_2(esk2_0,esk3_0),esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_85,c_0_84]),
    [final] ).

cnf(c_0_141,negated_conjecture,
    r1(esk4_0,esk10_3(esk2_0,esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_85,c_0_30]),
    [final] ).

cnf(c_0_142,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_58]),
    [final] ).

cnf(c_0_143,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_87,c_0_88]),
    [final] ).

cnf(c_0_144,negated_conjecture,
    r1(esk9_2(esk7_0,esk8_1(esk7_0)),esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0)))),
    inference(spm,[status(thm)],[c_0_89,c_0_88]),
    [final] ).

cnf(c_0_145,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]),
    [final] ).

cnf(c_0_146,negated_conjecture,
    r1(esk9_2(esk11_0,esk8_1(esk11_0)),esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0)))),
    inference(spm,[status(thm)],[c_0_92,c_0_91]),
    [final] ).

cnf(c_0_147,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_56,c_0_93]),
    [final] ).

cnf(c_0_148,negated_conjecture,
    r1(esk9_2(esk11_0,esk12_0),esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0))),
    inference(spm,[status(thm)],[c_0_94,c_0_93]),
    [final] ).

cnf(c_0_149,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_95,c_0_82]),
    [final] ).

cnf(c_0_150,negated_conjecture,
    r1(esk13_0,esk10_3(esk11_0,esk12_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_94,c_0_33]),
    [final] ).

cnf(c_0_151,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_63]),
    [final] ).

cnf(c_0_152,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_31,c_0_84]),
    [final] ).

cnf(c_0_153,negated_conjecture,
    ( ~ p1(esk6_0)
    | ~ p4(esk6_0) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]),
    [final] ).

cnf(c_0_154,negated_conjecture,
    ( p1(esk6_0)
    | p2(esk6_0) ),
    inference(spm,[status(thm)],[c_0_99,c_0_98]),
    [final] ).

cnf(c_0_155,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_100,c_0_88]),
    [final] ).

cnf(c_0_156,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_101,c_0_91]),
    [final] ).

cnf(c_0_157,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_102,c_0_82]),
    [final] ).

cnf(c_0_158,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_34,c_0_93]),
    [final] ).

cnf(c_0_159,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_103,c_0_88]),
    [final] ).

cnf(c_0_160,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_104,c_0_91]),
    [final] ).

cnf(c_0_161,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_65,c_0_84]),
    [final] ).

cnf(c_0_162,negated_conjecture,
    ( ~ p1(esk15_0)
    | ~ p4(esk15_0) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]),
    [final] ).

cnf(c_0_163,negated_conjecture,
    ( p1(esk15_0)
    | p2(esk15_0) ),
    inference(spm,[status(thm)],[c_0_107,c_0_106]),
    [final] ).

cnf(c_0_164,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_58]),
    [final] ).

cnf(c_0_165,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_66,c_0_93]),
    [final] ).

cnf(c_0_166,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_63]),
    [final] ).

cnf(c_0_167,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_110,c_0_82]),
    [final] ).

cnf(c_0_168,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_67,c_0_84]),
    [final] ).

cnf(c_0_169,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_58]),
    [final] ).

cnf(c_0_170,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_112,c_0_82]),
    [final] ).

cnf(c_0_171,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_113,c_0_88]),
    [final] ).

cnf(c_0_172,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_114,c_0_88]),
    [final] ).

cnf(c_0_173,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_115,c_0_91]),
    [final] ).

cnf(c_0_174,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_116,c_0_82]),
    [final] ).

cnf(c_0_175,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_70,c_0_93]),
    [final] ).

cnf(c_0_176,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_63]),
    [final] ).

cnf(c_0_177,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_39,c_0_84]),
    [final] ).

cnf(c_0_178,negated_conjecture,
    ( ~ p1(esk6_0)
    | ~ p2(esk6_0) ),
    inference(spm,[status(thm)],[c_0_118,c_0_98]),
    [final] ).

cnf(c_0_179,negated_conjecture,
    ( p1(esk6_0)
    | p4(esk6_0) ),
    inference(spm,[status(thm)],[c_0_119,c_0_98]),
    [final] ).

cnf(c_0_180,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_120,c_0_91]),
    [final] ).

cnf(c_0_181,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_40,c_0_84]),
    [final] ).

cnf(c_0_182,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_121,c_0_88]),
    [final] ).

cnf(c_0_183,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_122,c_0_91]),
    [final] ).

cnf(c_0_184,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_41,c_0_93]),
    [final] ).

cnf(c_0_185,negated_conjecture,
    ( ~ p1(esk15_0)
    | ~ p2(esk15_0) ),
    inference(spm,[status(thm)],[c_0_123,c_0_106]),
    [final] ).

cnf(c_0_186,negated_conjecture,
    ( p1(esk15_0)
    | p4(esk15_0) ),
    inference(spm,[status(thm)],[c_0_124,c_0_106]),
    [final] ).

cnf(c_0_187,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_42,c_0_93]),
    [final] ).

cnf(c_0_188,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_125,c_0_82]),
    [final] ).

cnf(c_0_189,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_76,c_0_84]),
    [final] ).

cnf(c_0_190,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk5_0,X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_58]),
    [final] ).

cnf(c_0_191,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_127,c_0_88]),
    [final] ).

cnf(c_0_192,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_128,c_0_91]),
    [final] ).

cnf(c_0_193,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk2_0,esk8_1(esk2_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_129,c_0_82]),
    [final] ).

cnf(c_0_194,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_78,c_0_93]),
    [final] ).

cnf(c_0_195,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk14_0,X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_63]),
    [final] ).

cnf(c_0_196,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk2_0,esk3_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_29,c_0_84]),
    [final] ).

cnf(c_0_197,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk7_0,esk8_1(esk7_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_131,c_0_88]),
    [final] ).

cnf(c_0_198,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk11_0,esk8_1(esk11_0)),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_91]),
    [final] ).

cnf(c_0_199,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk9_2(esk11_0,esk12_0),X2)
    | ~ r1(X2,X1) ),
    inference(spm,[status(thm)],[c_0_32,c_0_93]),
    [final] ).

cnf(c_0_200,negated_conjecture,
    ( ~ p3(esk10_3(esk2_0,esk8_1(esk2_0),X1))
    | ~ r1(esk8_1(esk2_0),X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_45]),
    [final] ).

cnf(c_0_201,negated_conjecture,
    ( ~ p3(esk10_3(esk7_0,esk8_1(esk7_0),X1))
    | ~ r1(esk8_1(esk7_0),X1) ),
    inference(spm,[status(thm)],[c_0_134,c_0_50]),
    [final] ).

cnf(c_0_202,negated_conjecture,
    ( ~ p3(esk10_3(esk2_0,esk3_0,X1))
    | ~ r1(esk3_0,X1) ),
    inference(spm,[status(thm)],[c_0_133,c_0_11]),
    [final] ).

cnf(c_0_203,negated_conjecture,
    ( ~ p3(esk10_3(esk11_0,esk8_1(esk11_0),X1))
    | ~ r1(esk8_1(esk11_0),X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_53]),
    [final] ).

cnf(c_0_204,negated_conjecture,
    ( ~ p3(esk10_3(esk11_0,esk12_0,X1))
    | ~ r1(esk12_0,X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_14]),
    [final] ).

cnf(c_0_205,negated_conjecture,
    ( ~ p4(esk9_2(esk2_0,X1))
    | ~ r1(esk2_0,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_4]),
    [final] ).

cnf(c_0_206,negated_conjecture,
    ( ~ p4(esk9_2(esk7_0,X1))
    | ~ r1(esk7_0,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_27]),
    [final] ).

cnf(c_0_207,negated_conjecture,
    ( ~ p4(esk9_2(esk11_0,X1))
    | ~ r1(esk11_0,X1) ),
    inference(spm,[status(thm)],[c_0_136,c_0_6]),
    [final] ).

cnf(c_0_208,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_138]),
    [final] ).

cnf(c_0_209,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]),
    [final] ).

cnf(c_0_210,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_86,c_0_141]),
    [final] ).

cnf(c_0_211,negated_conjecture,
    ( p3(esk6_0)
    | p2(esk6_0) ),
    inference(spm,[status(thm)],[c_0_142,c_0_98]),
    [final] ).

cnf(c_0_212,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]),
    [final] ).

cnf(c_0_213,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]),
    [final] ).

cnf(c_0_214,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_147,c_0_148]),
    [final] ).

cnf(c_0_215,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_149,c_0_138]),
    [final] ).

cnf(c_0_216,negated_conjecture,
    ( p3(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_96,c_0_150]),
    [final] ).

cnf(c_0_217,negated_conjecture,
    ( p3(esk15_0)
    | p2(esk15_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_106]),
    [final] ).

cnf(c_0_218,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_152,c_0_140]),
    [final] ).

cnf(c_0_219,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_59,c_0_141]),
    [final] ).

cnf(c_0_220,negated_conjecture,
    ( p2(esk6_0)
    | ~ p4(esk6_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]),
    [final] ).

cnf(c_0_221,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_155,c_0_144]),
    [final] ).

cnf(c_0_222,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_156,c_0_146]),
    [final] ).

cnf(c_0_223,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_157,c_0_138]),
    [final] ).

cnf(c_0_224,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_158,c_0_148]),
    [final] ).

cnf(c_0_225,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_159,c_0_144]),
    [final] ).

cnf(c_0_226,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_160,c_0_146]),
    [final] ).

cnf(c_0_227,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_140]),
    [final] ).

cnf(c_0_228,negated_conjecture,
    ( p1(X1)
    | p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_64,c_0_150]),
    [final] ).

cnf(c_0_229,negated_conjecture,
    ( p2(esk15_0)
    | ~ p4(esk15_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]),
    [final] ).

cnf(c_0_230,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_108,c_0_141]),
    [final] ).

cnf(c_0_231,negated_conjecture,
    ( p3(esk6_0)
    | p4(esk6_0) ),
    inference(spm,[status(thm)],[c_0_164,c_0_98]),
    [final] ).

cnf(c_0_232,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_148]),
    [final] ).

cnf(c_0_233,negated_conjecture,
    ( p3(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_109,c_0_150]),
    [final] ).

cnf(c_0_234,negated_conjecture,
    ( p3(esk15_0)
    | p4(esk15_0) ),
    inference(spm,[status(thm)],[c_0_166,c_0_106]),
    [final] ).

cnf(c_0_235,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_167,c_0_138]),
    [final] ).

cnf(c_0_236,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_168,c_0_140]),
    [final] ).

cnf(c_0_237,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_111,c_0_141]),
    [final] ).

cnf(c_0_238,negated_conjecture,
    ( ~ p3(esk6_0)
    | ~ p2(esk6_0) ),
    inference(spm,[status(thm)],[c_0_169,c_0_98]),
    [final] ).

cnf(c_0_239,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_170,c_0_138]),
    [final] ).

cnf(c_0_240,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_144]),
    [final] ).

cnf(c_0_241,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_172,c_0_144]),
    [final] ).

cnf(c_0_242,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_146]),
    [final] ).

cnf(c_0_243,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_174,c_0_138]),
    [final] ).

cnf(c_0_244,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_175,c_0_148]),
    [final] ).

cnf(c_0_245,negated_conjecture,
    ( ~ p3(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_117,c_0_150]),
    [final] ).

cnf(c_0_246,negated_conjecture,
    ( ~ p3(esk15_0)
    | ~ p2(esk15_0) ),
    inference(spm,[status(thm)],[c_0_176,c_0_106]),
    [final] ).

cnf(c_0_247,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_177,c_0_140]),
    [final] ).

cnf(c_0_248,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_71,c_0_141]),
    [final] ).

cnf(c_0_249,negated_conjecture,
    ( p4(esk6_0)
    | ~ p2(esk6_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]),
    [final] ).

cnf(c_0_250,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_146]),
    [final] ).

cnf(c_0_251,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_181,c_0_140]),
    [final] ).

cnf(c_0_252,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_182,c_0_144]),
    [final] ).

cnf(c_0_253,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_183,c_0_146]),
    [final] ).

cnf(c_0_254,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_72,c_0_141]),
    [final] ).

cnf(c_0_255,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_184,c_0_148]),
    [final] ).

cnf(c_0_256,negated_conjecture,
    ( ~ p1(X1)
    | ~ p2(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_74,c_0_150]),
    [final] ).

cnf(c_0_257,negated_conjecture,
    ( p4(esk15_0)
    | ~ p2(esk15_0) ),
    inference(spm,[status(thm)],[c_0_185,c_0_186]),
    [final] ).

cnf(c_0_258,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_187,c_0_148]),
    [final] ).

cnf(c_0_259,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_188,c_0_138]),
    [final] ).

cnf(c_0_260,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_189,c_0_140]),
    [final] ).

cnf(c_0_261,negated_conjecture,
    ( p1(X1)
    | p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_75,c_0_150]),
    [final] ).

cnf(c_0_262,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_126,c_0_141]),
    [final] ).

cnf(c_0_263,negated_conjecture,
    ( ~ p3(esk6_0)
    | ~ p4(esk6_0) ),
    inference(spm,[status(thm)],[c_0_190,c_0_98]),
    [final] ).

cnf(c_0_264,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_191,c_0_144]),
    [final] ).

cnf(c_0_265,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_192,c_0_146]),
    [final] ).

cnf(c_0_266,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0))),X1) ),
    inference(spm,[status(thm)],[c_0_193,c_0_138]),
    [final] ).

cnf(c_0_267,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_194,c_0_148]),
    [final] ).

cnf(c_0_268,negated_conjecture,
    ( ~ p3(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_130,c_0_150]),
    [final] ).

cnf(c_0_269,negated_conjecture,
    ( ~ p3(esk15_0)
    | ~ p4(esk15_0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_106]),
    [final] ).

cnf(c_0_270,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0)),X1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_140]),
    [final] ).

cnf(c_0_271,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk2_0,esk3_0,esk4_0),X1) ),
    inference(spm,[status(thm)],[c_0_57,c_0_141]),
    [final] ).

cnf(c_0_272,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0))),X1) ),
    inference(spm,[status(thm)],[c_0_197,c_0_144]),
    [final] ).

cnf(c_0_273,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0))),X1) ),
    inference(spm,[status(thm)],[c_0_198,c_0_146]),
    [final] ).

cnf(c_0_274,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0)),X1) ),
    inference(spm,[status(thm)],[c_0_199,c_0_148]),
    [final] ).

cnf(c_0_275,negated_conjecture,
    ( ~ p1(X1)
    | ~ p4(X1)
    | ~ r1(esk10_3(esk11_0,esk12_0,esk13_0),X1) ),
    inference(spm,[status(thm)],[c_0_62,c_0_150]),
    [final] ).

cnf(c_0_276,negated_conjecture,
    ( p10(esk6_0)
    | p8(esk6_0)
    | p6(esk6_0)
    | p4(esk6_0)
    | p2(esk6_0) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_277,negated_conjecture,
    ( ~ p5(esk8_1(X1))
    | ~ r1(esk1_0,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

cnf(c_0_278,negated_conjecture,
    ~ p3(esk10_3(esk2_0,esk8_1(esk2_0),esk9_2(esk2_0,esk8_1(esk2_0)))),
    inference(spm,[status(thm)],[c_0_200,c_0_82]),
    [final] ).

cnf(c_0_279,negated_conjecture,
    ~ p3(esk10_3(esk7_0,esk8_1(esk7_0),esk9_2(esk7_0,esk8_1(esk7_0)))),
    inference(spm,[status(thm)],[c_0_201,c_0_88]),
    [final] ).

cnf(c_0_280,negated_conjecture,
    ~ p3(esk10_3(esk2_0,esk3_0,esk9_2(esk2_0,esk3_0))),
    inference(spm,[status(thm)],[c_0_202,c_0_84]),
    [final] ).

cnf(c_0_281,negated_conjecture,
    ~ p3(esk10_3(esk2_0,esk3_0,esk4_0)),
    inference(spm,[status(thm)],[c_0_202,c_0_30]),
    [final] ).

cnf(c_0_282,negated_conjecture,
    ~ p3(esk10_3(esk11_0,esk8_1(esk11_0),esk9_2(esk11_0,esk8_1(esk11_0)))),
    inference(spm,[status(thm)],[c_0_203,c_0_91]),
    [final] ).

cnf(c_0_283,negated_conjecture,
    ~ p3(esk10_3(esk11_0,esk12_0,esk9_2(esk11_0,esk12_0))),
    inference(spm,[status(thm)],[c_0_204,c_0_93]),
    [final] ).

cnf(c_0_284,negated_conjecture,
    ~ p3(esk10_3(esk11_0,esk12_0,esk13_0)),
    inference(spm,[status(thm)],[c_0_204,c_0_33]),
    [final] ).

cnf(c_0_285,negated_conjecture,
    ~ p4(esk9_2(esk2_0,esk8_1(esk2_0))),
    inference(spm,[status(thm)],[c_0_205,c_0_45]),
    [final] ).

cnf(c_0_286,negated_conjecture,
    ~ p4(esk9_2(esk2_0,esk3_0)),
    inference(spm,[status(thm)],[c_0_205,c_0_11]),
    [final] ).

cnf(c_0_287,negated_conjecture,
    ~ p4(esk9_2(esk7_0,esk8_1(esk7_0))),
    inference(spm,[status(thm)],[c_0_206,c_0_50]),
    [final] ).

cnf(c_0_288,negated_conjecture,
    ~ p4(esk9_2(esk11_0,esk8_1(esk11_0))),
    inference(spm,[status(thm)],[c_0_207,c_0_53]),
    [final] ).

cnf(c_0_289,negated_conjecture,
    ~ p4(esk9_2(esk11_0,esk12_0)),
    inference(spm,[status(thm)],[c_0_207,c_0_14]),
    [final] ).

cnf(c_0_290,negated_conjecture,
    ~ p6(esk7_0),
    inference(split_conjunct,[status(thm)],[c_0_2]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : LCL651+1.001 : TPTP v9.2.1. Released v4.0.0.
% 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
% 0.14/0.32  % Computer : n010.cluster.edu
% 0.14/0.32  % Model    : x86_64 x86_64
% 0.14/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.32  % Memory   : 8042.1875MB
% 0.14/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.32  % CPULimit   : 300
% 0.14/0.32  % WCLimit    : 300
% 0.14/0.32  % DateTime   : Mon May  4 22:48:36 EDT 2026
% 0.14/0.33  % CPUTime    : 
% 0.14/0.34  % start to proof: theBenchmark
% 1.29/1.72  % Version  : CSE_E---1.7
% 1.29/1.72  % Problem  : theBenchmark.p
% 1.29/1.72  % SZS status CounterSatisfiable for theBenchmark.p
% 1.29/1.72  % SZS output start Saturation
% See solution above
% 1.29/1.72  % Total time : 1.371s
%------------------------------------------------------------------------------