TSTP Solution File: SYN045^7 by E---3.1.00

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : E---3.1.00
% Problem  : SYN045^7 : TPTP v8.2.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_E %s %d THM

% Computer : n019.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 21 07:42:35 EDT 2024

% Result   : Theorem 13.85s 2.27s
% Output   : CNFRefutation 13.85s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
thf(decl_24,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(decl_25,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_30,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_31,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(decl_50,type,
    mvalid: ( $i > $o ) > $o ).

thf(decl_54,type,
    rel_s4: $i > $i > $o ).

thf(decl_55,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(decl_57,type,
    r: $i > $o ).

thf(decl_58,type,
    q: $i > $o ).

thf(decl_59,type,
    p: $i > $o ).

thf(decl_61,type,
    esk2_0: $i ).

thf(decl_62,type,
    esk3_0: $i ).

thf(decl_63,type,
    esk4_0: $i ).

thf(decl_64,type,
    esk5_0: $i ).

thf(decl_65,type,
    esk6_0: $i ).

thf(decl_66,type,
    esk7_0: $i ).

thf(decl_67,type,
    esk8_0: $i ).

thf(decl_68,type,
    esk9_0: $i ).

thf(decl_69,type,
    esk10_0: $i ).

thf(decl_70,type,
    esk11_0: $i ).

thf(mand,axiom,
    ( mand
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mnot @ ( mor @ ( mnot @ X4 ) @ ( mnot @ X5 ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mand) ).

thf(mnot,axiom,
    ( mnot
    = ( ^ [X4: $i > $o,X3: $i] :
          ~ ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mnot) ).

thf(mor,axiom,
    ( mor
    = ( ^ [X4: $i > $o,X5: $i > $o,X3: $i] :
          ( ( X4 @ X3 )
          | ( X5 @ X3 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mor) ).

thf(mimplies,axiom,
    ( mimplies
    = ( ^ [X4: $i > $o,X5: $i > $o] : ( mor @ ( mnot @ X4 ) @ X5 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mimplies) ).

thf(mvalid,axiom,
    ( mvalid
    = ( ^ [X4: $i > $o] :
        ! [X3: $i] : ( X4 @ X3 ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL015^0.ax',mvalid) ).

thf(mbox_s4,axiom,
    ( mbox_s4
    = ( ^ [X4: $i > $o,X3: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ X3 @ X7 )
          | ( X4 @ X7 ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/LCL013^5.ax',mbox_s4) ).

thf(pel13,conjecture,
    mvalid @ ( mand @ ( mbox_s4 @ ( mimplies @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mand @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ q ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mbox_s4 @ r ) ) ) @ ( mor @ ( mbox_s4 @ p ) @ ( mand @ ( mbox_s4 @ q ) @ ( mbox_s4 @ r ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',pel13) ).

thf(c_0_7,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mand]) ).

thf(c_0_8,plain,
    ( mnot
    = ( ^ [Z0: $i > $o,Z1: $i] :
          ~ ( Z0 @ Z1 ) ) ),
    inference(fof_simplification,[status(thm)],[mnot]) ).

thf(c_0_9,plain,
    ( mor
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mor]) ).

thf(c_0_10,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mimplies]) ).

thf(c_0_11,plain,
    ( mand
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ~ ( ~ ( Z0 @ Z2 )
            | ~ ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_7,c_0_8]),c_0_9]) ).

thf(c_0_12,plain,
    ( mimplies
    = ( ^ [Z0: $i > $o,Z1: $i > $o,Z2: $i] :
          ( ~ ( Z0 @ Z2 )
          | ( Z1 @ Z2 ) ) ) ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_10,c_0_8]),c_0_9]) ).

thf(c_0_13,plain,
    ( mvalid
    = ( ^ [Z0: $i > $o] :
        ! [X3: $i] : ( Z0 @ X3 ) ) ),
    inference(fof_simplification,[status(thm)],[mvalid]) ).

thf(c_0_14,plain,
    ( mbox_s4
    = ( ^ [Z0: $i > $o,Z1: $i] :
        ! [X7: $i] :
          ( ~ ( rel_s4 @ Z1 @ X7 )
          | ( Z0 @ X7 ) ) ) ),
    inference(fof_simplification,[status(thm)],[mbox_s4]) ).

thf(c_0_15,negated_conjecture,
    ~ ! [X49: $i] :
        ~ ( ~ ! [X40: $i] :
                ( ~ ( rel_s4 @ X49 @ X40 )
                | ~ ( ! [X33: $i] :
                        ( ~ ( rel_s4 @ X40 @ X33 )
                        | ( p @ X33 ) )
                    | ~ ( ~ ! [X34: $i] :
                              ( ~ ( rel_s4 @ X40 @ X34 )
                              | ( q @ X34 ) )
                        | ~ ! [X35: $i] :
                              ( ~ ( rel_s4 @ X40 @ X35 )
                              | ( r @ X35 ) ) ) )
                | ~ ( ~ ( ! [X36: $i] :
                            ( ~ ( rel_s4 @ X40 @ X36 )
                            | ( p @ X36 ) )
                        | ! [X37: $i] :
                            ( ~ ( rel_s4 @ X40 @ X37 )
                            | ( q @ X37 ) ) )
                    | ~ ( ! [X38: $i] :
                            ( ~ ( rel_s4 @ X40 @ X38 )
                            | ( p @ X38 ) )
                        | ! [X39: $i] :
                            ( ~ ( rel_s4 @ X40 @ X39 )
                            | ( r @ X39 ) ) ) ) )
          | ~ ! [X48: $i] :
                ( ~ ( rel_s4 @ X49 @ X48 )
                | ~ ~ ( ~ ( ! [X41: $i] :
                              ( ~ ( rel_s4 @ X48 @ X41 )
                              | ( p @ X41 ) )
                          | ! [X42: $i] :
                              ( ~ ( rel_s4 @ X48 @ X42 )
                              | ( q @ X42 ) ) )
                      | ~ ( ! [X43: $i] :
                              ( ~ ( rel_s4 @ X48 @ X43 )
                              | ( p @ X43 ) )
                          | ! [X44: $i] :
                              ( ~ ( rel_s4 @ X48 @ X44 )
                              | ( r @ X44 ) ) ) )
                | ! [X45: $i] :
                    ( ~ ( rel_s4 @ X48 @ X45 )
                    | ( p @ X45 ) )
                | ~ ( ~ ! [X46: $i] :
                          ( ~ ( rel_s4 @ X48 @ X46 )
                          | ( q @ X46 ) )
                    | ~ ! [X47: $i] :
                          ( ~ ( rel_s4 @ X48 @ X47 )
                          | ( r @ X47 ) ) ) ) ),
    inference(fof_simplification,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(assume_negation,[status(cth)],[pel13]),c_0_9]),c_0_11]),c_0_12]),c_0_13]),c_0_14])]) ).

thf(c_0_16,negated_conjecture,
    ! [X61: $i,X62: $i,X63: $i,X69: $i,X70: $i,X71: $i,X72: $i] :
      ( ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk2_0 @ esk3_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X62 )
        | ( q @ X62 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( rel_s4 @ esk3_0 @ X63 )
        | ( r @ X63 )
        | ~ ( rel_s4 @ esk3_0 @ X61 )
        | ( p @ X61 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( p @ esk4_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ( rel_s4 @ esk3_0 @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( p @ esk6_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ( rel_s4 @ esk3_0 @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk2_0 @ esk8_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X69 )
        | ( p @ X69 )
        | ~ ( rel_s4 @ esk8_0 @ X70 )
        | ( q @ X70 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( rel_s4 @ esk8_0 @ X71 )
        | ( p @ X71 )
        | ~ ( rel_s4 @ esk8_0 @ X72 )
        | ( r @ X72 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( p @ esk9_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ( rel_s4 @ esk8_0 @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ( rel_s4 @ esk8_0 @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) )
      & ( ~ ( r @ esk11_0 )
        | ~ ( q @ esk10_0 )
        | ~ ( r @ esk7_0 )
        | ~ ( q @ esk5_0 ) ) ),
    inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_15])])])])])]) ).

thf(c_0_17,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_18,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_19,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_20,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19]) ).

thf(c_0_21,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_22,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_23,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_24,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_25,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_26,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_27,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_20,c_0_21]),c_0_22]) ).

thf(c_0_28,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_23,c_0_24]),c_0_25]) ).

thf(c_0_29,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_30,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_31,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

thf(c_0_32,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_33,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_34,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_35,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_36,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

thf(c_0_37,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_32]),c_0_33]),c_0_34]) ).

thf(c_0_38,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_39,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_40,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_41,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( p @ esk4_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_35,c_0_36]) ).

thf(c_0_42,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_43,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_44,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_45,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_37]) ).

thf(c_0_46,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_38]),c_0_39]),c_0_40]) ).

thf(c_0_47,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_17,c_0_27]) ).

thf(c_0_48,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_42]),c_0_43]),c_0_44]) ).

thf(c_0_49,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_50,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_51,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_52,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_53,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

thf(c_0_54,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_55,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_56,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

thf(c_0_57,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_48]) ).

thf(c_0_58,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_49]),c_0_50]),c_0_51]) ).

thf(c_0_59,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk9_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_23,c_0_36]) ).

thf(c_0_60,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_52,c_0_53]),c_0_54]) ).

thf(c_0_61,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_55,c_0_56]) ).

thf(c_0_62,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_63,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_57,c_0_58]) ).

thf(c_0_64,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_65,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_66,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_59,c_0_58]) ).

thf(c_0_67,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

thf(c_0_68,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).

thf(c_0_69,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_65,c_0_66]) ).

thf(c_0_70,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_71,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( q @ esk5_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_31,c_0_67]),c_0_60]) ).

thf(c_0_72,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_68,c_0_69]) ).

thf(c_0_73,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_70,c_0_71]) ).

thf(c_0_74,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_75,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ( q @ esk5_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_41,c_0_72]),c_0_68]) ).

thf(c_0_76,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_77,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_73,c_0_56]),c_0_60]) ).

thf(c_0_78,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_79,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk9_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

thf(c_0_80,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).

thf(c_0_81,negated_conjecture,
    rel_s4 @ esk8_0 @ esk9_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_66]),c_0_68]) ).

thf(c_0_82,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_83,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_84,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_85,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i,X17: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ( p @ X17 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X17 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_86,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_81]),c_0_82]) ).

thf(c_0_87,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_88,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_77]),c_0_84]) ).

thf(c_0_89,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_90,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_86]),c_0_87]) ).

thf(c_0_91,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_88,c_0_81]),c_0_89]) ).

thf(c_0_92,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_93,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_90,c_0_91]),c_0_92]) ).

thf(c_0_94,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_93,c_0_77]) ).

thf(c_0_95,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( r @ esk11_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_96,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_94,c_0_81]) ).

thf(c_0_97,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ X3 )
      | ( p @ X7 )
      | ~ ( p @ esk9_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_98,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_99,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_100,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).

thf(c_0_101,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_98,c_0_96]),c_0_99]) ).

thf(c_0_102,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_100,c_0_86]),c_0_101]) ).

thf(c_0_103,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_104,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_102,c_0_91]) ).

thf(c_0_105,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_106,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

thf(c_0_107,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_105,c_0_104]) ).

thf(c_0_108,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_109,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_110,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i,X17: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( q @ X16 )
      | ( p @ X17 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X17 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_111,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_106,c_0_96]),c_0_107]) ).

thf(c_0_112,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_77]),c_0_109]) ).

thf(c_0_113,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_114,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

thf(c_0_115,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_112,c_0_81]),c_0_113]) ).

thf(c_0_116,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_117,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_118,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_115]),c_0_116]),c_0_117]) ).

thf(c_0_119,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_118,c_0_77]) ).

thf(c_0_120,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( r @ esk11_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_121,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_119,c_0_81]) ).

thf(c_0_122,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( q @ X3 )
      | ( p @ X7 )
      | ~ ( p @ esk9_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_123,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_124,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_125,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_126,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_127,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).

thf(c_0_128,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_123,c_0_121]),c_0_124]) ).

thf(c_0_129,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_77]),c_0_126]) ).

thf(c_0_130,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_131,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_127,c_0_111]),c_0_128]) ).

thf(c_0_132,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_129,c_0_81]),c_0_130]) ).

thf(c_0_133,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_134,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_135,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_136,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_131,c_0_115]) ).

thf(c_0_137,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_138,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_114,c_0_132]),c_0_133]),c_0_134]) ).

thf(c_0_139,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

thf(c_0_140,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_137,c_0_136]) ).

thf(c_0_141,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_138,c_0_77]) ).

thf(c_0_142,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_111]) ).

thf(c_0_143,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_139,c_0_121]),c_0_140]) ).

thf(c_0_144,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_141,c_0_81]) ).

thf(c_0_145,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_146,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_147,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_142,c_0_143]) ).

thf(c_0_148,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_144]),c_0_122]) ).

thf(c_0_149,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_145,c_0_144]),c_0_146]) ).

thf(c_0_150,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk11_0 )
      | ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_147,c_0_77]) ).

thf(c_0_151,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_148,c_0_111]),c_0_149]) ).

thf(c_0_152,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_153,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_150,c_0_81]) ).

thf(c_0_154,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_155,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_151,c_0_132]) ).

thf(c_0_156,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_157,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( r @ esk11_0 )
      | ( p @ esk4_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_152,c_0_153]) ).

thf(c_0_158,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_154,c_0_155]) ).

thf(c_0_159,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_155]) ).

thf(c_0_160,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ esk4_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_157,c_0_77]) ).

thf(c_0_161,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_144]),c_0_159]) ).

thf(c_0_162,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( r @ esk11_0 )
    | ( p @ esk4_0 )
    | ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_160,c_0_81]) ).

thf(c_0_163,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk6_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_161]) ).

thf(c_0_164,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_162]),c_0_97]) ).

thf(c_0_165,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_163,c_0_143]) ).

thf(c_0_166,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_164,c_0_111]) ).

thf(c_0_167,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk11_0 )
      | ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_165,c_0_77]) ).

thf(c_0_168,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_169,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_166,c_0_143]) ).

thf(c_0_170,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_171,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_172,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_167,c_0_81]) ).

thf(c_0_173,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_174,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( p @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_168,c_0_169]) ).

thf(c_0_175,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( p @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_170,c_0_169]) ).

thf(c_0_176,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_172]),c_0_173]) ).

thf(c_0_177,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_174,c_0_162]),c_0_175]) ).

thf(c_0_178,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk9_0 )
      | ( r @ esk11_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_176,c_0_177]) ).

thf(c_0_179,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_178,c_0_77]) ).

thf(c_0_180,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_179,c_0_81]) ).

thf(c_0_181,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_182,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_183,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_180]),c_0_97]) ).

thf(c_0_184,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_181,c_0_180]),c_0_182]) ).

thf(c_0_185,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_161]),c_0_184]) ).

thf(c_0_186,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_185,c_0_143]) ).

thf(c_0_187,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_168,c_0_186]) ).

thf(c_0_188,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_170,c_0_186]) ).

thf(c_0_189,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_180]),c_0_188]) ).

thf(c_0_190,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( q @ esk5_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_114,c_0_189]) ).

thf(c_0_191,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk11_0 )
      | ( p @ esk4_0 )
      | ( q @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_190,c_0_77]) ).

thf(c_0_192,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_193,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( p @ esk9_0 )
    | ( q @ esk5_0 )
    | ( p @ esk4_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_191,c_0_81]) ).

thf(c_0_194,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_192,c_0_193]),c_0_153]),c_0_176]) ).

thf(c_0_195,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk9_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_194,c_0_77]) ).

thf(c_0_196,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( r @ esk11_0 )
    | ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_195,c_0_81]) ).

thf(c_0_197,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_120,c_0_196]),c_0_122]) ).

thf(c_0_198,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ esk4_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_197,c_0_111]) ).

thf(c_0_199,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_200,negated_conjecture,
    ( ~ ( p @ esk9_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_201,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_202,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( q @ esk5_0 )
    | ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_198,c_0_189]) ).

thf(c_0_203,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_196]),c_0_200]) ).

thf(c_0_204,negated_conjecture,
    ( ~ ( p @ esk9_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_205,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).

thf(c_0_206,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_202]),c_0_200]) ).

thf(c_0_207,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_196]),c_0_97]) ).

thf(c_0_208,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_205,c_0_196]),c_0_206]) ).

thf(c_0_209,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_210,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_211,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk10_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_161]),c_0_208]) ).

thf(c_0_212,negated_conjecture,
    ( ~ ( p @ esk9_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_213,negated_conjecture,
    ( ~ ( p @ esk9_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_214,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_209,c_0_202]),c_0_210]) ).

thf(c_0_215,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_211,c_0_143]) ).

thf(c_0_216,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_202]),c_0_213]) ).

thf(c_0_217,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_214,c_0_215]) ).

thf(c_0_218,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk10_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_216,c_0_215]) ).

thf(c_0_219,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_220,negated_conjecture,
    rel_s4 @ esk8_0 @ esk10_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_217,c_0_196]),c_0_218]) ).

thf(c_0_221,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_219,c_0_220]) ).

thf(c_0_222,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_223,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_224,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_221,c_0_81]),c_0_82]) ).

thf(c_0_225,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_222,c_0_220]) ).

thf(c_0_226,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i,X17: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ( p @ X17 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X17 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_227,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_223,c_0_224]) ).

thf(c_0_228,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_229,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_230,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_225,c_0_81]),c_0_89]) ).

thf(c_0_231,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_227]),c_0_228]) ).

thf(c_0_232,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_229,c_0_230]) ).

thf(c_0_233,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_234,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_231,c_0_232]),c_0_233]) ).

thf(c_0_235,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_234,c_0_220]) ).

thf(c_0_236,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( q @ esk10_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_237,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_235,c_0_81]) ).

thf(c_0_238,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_239,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_237]),c_0_97]) ).

thf(c_0_240,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_238,c_0_237]),c_0_99]) ).

thf(c_0_241,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_242,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_243,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_239,c_0_227]),c_0_240]) ).

thf(c_0_244,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_241,c_0_237]),c_0_105]) ).

thf(c_0_245,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_242,c_0_220]) ).

thf(c_0_246,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_247,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i,X17: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( q @ X16 )
      | ( p @ X17 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X17 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_248,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_243,c_0_232]),c_0_244]) ).

thf(c_0_249,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_250,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_81]),c_0_130]) ).

thf(c_0_251,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_246,c_0_220]) ).

thf(c_0_252,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( q @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_247,c_0_248]) ).

thf(c_0_253,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_249,c_0_250]) ).

thf(c_0_254,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_255,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_256,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_257,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_251,c_0_81]),c_0_113]) ).

thf(c_0_258,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_253]),c_0_254]),c_0_255]) ).

thf(c_0_259,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_256,c_0_257]) ).

thf(c_0_260,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_261,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_262,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_258,c_0_220]) ).

thf(c_0_263,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_259]),c_0_260]),c_0_261]) ).

thf(c_0_264,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( q @ esk10_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_265,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_262,c_0_81]) ).

thf(c_0_266,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_267,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_263,c_0_220]) ).

thf(c_0_268,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_122]) ).

thf(c_0_269,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_266,c_0_265]),c_0_146]) ).

thf(c_0_270,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_267,c_0_81]) ).

thf(c_0_271,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_272,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_268,c_0_248]),c_0_269]) ).

thf(c_0_273,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_270]),c_0_122]) ).

thf(c_0_274,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_271,c_0_270]),c_0_124]) ).

thf(c_0_275,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_276,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_272,c_0_253]) ).

thf(c_0_277,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_248]),c_0_274]) ).

thf(c_0_278,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_275,c_0_276]) ).

thf(c_0_279,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_276]) ).

thf(c_0_280,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_281,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_277,c_0_259]) ).

thf(c_0_282,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_278,c_0_265]),c_0_279]) ).

thf(c_0_283,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_280,c_0_281]) ).

thf(c_0_284,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_137,c_0_281]) ).

thf(c_0_285,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk6_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_226,c_0_282]) ).

thf(c_0_286,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_283,c_0_270]),c_0_284]) ).

thf(c_0_287,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_226,c_0_248]) ).

thf(c_0_288,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_285,c_0_286]) ).

thf(c_0_289,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_287,c_0_286]) ).

thf(c_0_290,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_288,c_0_220]) ).

thf(c_0_291,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_289,c_0_220]) ).

thf(c_0_292,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_290,c_0_81]) ).

thf(c_0_293,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_291,c_0_81]) ).

thf(c_0_294,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_292]),c_0_97]) ).

thf(c_0_295,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_236,c_0_293]),c_0_97]) ).

thf(c_0_296,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_294,c_0_282]) ).

thf(c_0_297,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_295,c_0_248]) ).

thf(c_0_298,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_299,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk6_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_296,c_0_286]) ).

thf(c_0_300,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 )
      | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_301,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_302,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk4_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_297,c_0_286]) ).

thf(c_0_303,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_299]),c_0_300]) ).

thf(c_0_304,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).

thf(c_0_305,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_304,c_0_220]) ).

thf(c_0_306,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_299]),c_0_182]) ).

thf(c_0_307,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_308,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_305,c_0_81]),c_0_306]) ).

thf(c_0_309,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_310,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_307,c_0_308]) ).

thf(c_0_311,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_309,c_0_308]) ).

thf(c_0_312,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk8_0 @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_299]),c_0_311]) ).

thf(c_0_313,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk5_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_312]),c_0_303]) ).

thf(c_0_314,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( q @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_313,c_0_220]) ).

thf(c_0_315,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( r @ esk7_0 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_316,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( q @ esk5_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_314,c_0_81]) ).

thf(c_0_317,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_318,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_315,c_0_316]) ).

thf(c_0_319,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_317,c_0_316]) ).

thf(c_0_320,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk9_0 )
      | ( q @ esk10_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_299]),c_0_319]) ).

thf(c_0_321,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_320,c_0_220]) ).

thf(c_0_322,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_323,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_321,c_0_81]) ).

thf(c_0_324,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( p @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_299]),c_0_200]) ).

thf(c_0_325,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_322,c_0_323]),c_0_324]) ).

thf(c_0_326,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_327,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_325,c_0_299]) ).

thf(c_0_328,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_323]),c_0_122]) ).

thf(c_0_329,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_323]),c_0_327]),c_0_324]) ).

thf(c_0_330,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( p @ esk6_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_328,c_0_282]) ).

thf(c_0_331,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk8_0 @ esk11_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_248]),c_0_329]) ).

thf(c_0_332,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_333,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( q @ esk5_0 )
    | ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_330,c_0_312]) ).

thf(c_0_334,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_335,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_331,c_0_312]) ).

thf(c_0_336,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk6_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_332,c_0_333]),c_0_299]) ).

thf(c_0_337,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ( p @ esk6_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_212,c_0_333]),c_0_299]) ).

thf(c_0_338,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_334,c_0_335]),c_0_336]) ).

thf(c_0_339,negated_conjecture,
    ( ( rel_s4 @ esk8_0 @ esk11_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_335]),c_0_337]) ).

thf(c_0_340,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_341,negated_conjecture,
    rel_s4 @ esk8_0 @ esk11_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_323]),c_0_339]) ).

thf(c_0_342,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_340,c_0_224]) ).

thf(c_0_343,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_344,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_341]),c_0_342]) ).

thf(c_0_345,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_343,c_0_230]) ).

thf(c_0_346,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_344,c_0_81]),c_0_82]) ).

thf(c_0_347,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_341]),c_0_345]) ).

thf(c_0_348,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_226,c_0_346]),c_0_228]) ).

thf(c_0_349,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_347,c_0_81]),c_0_89]) ).

thf(c_0_350,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_85,c_0_346]),c_0_87]) ).

thf(c_0_351,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_348,c_0_349]),c_0_233]) ).

thf(c_0_352,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_350,c_0_349]),c_0_92]) ).

thf(c_0_353,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_351,c_0_220]) ).

thf(c_0_354,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_352,c_0_341]) ).

thf(c_0_355,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_356,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_353,c_0_81]) ).

thf(c_0_357,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ X3 )
      | ( p @ X7 )
      | ~ ( r @ esk11_0 )
      | ~ ( q @ esk10_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_358,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_354,c_0_81]) ).

thf(c_0_359,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_355,c_0_356]),c_0_99]) ).

thf(c_0_360,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_356]),c_0_358]),c_0_97]) ).

thf(c_0_361,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_359,c_0_358]),c_0_99]) ).

thf(c_0_362,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_363,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_360,c_0_346]),c_0_361]) ).

thf(c_0_364,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_362,c_0_356]),c_0_105]) ).

thf(c_0_365,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_363,c_0_349]) ).

thf(c_0_366,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_367,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_364,c_0_365]) ).

thf(c_0_368,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_105,c_0_365]) ).

thf(c_0_369,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_366,c_0_250]) ).

thf(c_0_370,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_371,negated_conjecture,
    rel_s4 @ esk3_0 @ esk4_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_367,c_0_358]),c_0_368]) ).

thf(c_0_372,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_125,c_0_341]),c_0_369]) ).

thf(c_0_373,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_370,c_0_257]) ).

thf(c_0_374,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( q @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_247,c_0_371]) ).

thf(c_0_375,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_372,c_0_81]),c_0_130]) ).

thf(c_0_376,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_110,c_0_371]) ).

thf(c_0_377,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_108,c_0_341]),c_0_373]) ).

thf(c_0_378,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_254]),c_0_255]) ).

thf(c_0_379,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_375]),c_0_133]),c_0_134]) ).

thf(c_0_380,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( rel_s4 @ esk3_0 @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_377,c_0_81]),c_0_113]) ).

thf(c_0_381,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_378,c_0_220]) ).

thf(c_0_382,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_379,c_0_341]) ).

thf(c_0_383,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_380]),c_0_260]),c_0_261]) ).

thf(c_0_384,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_380]),c_0_116]),c_0_117]) ).

thf(c_0_385,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( q @ X3 )
      | ( p @ X7 )
      | ~ ( r @ esk11_0 )
      | ~ ( q @ esk10_0 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_386,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_381,c_0_81]) ).

thf(c_0_387,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_382,c_0_81]) ).

thf(c_0_388,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_389,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_383,c_0_220]) ).

thf(c_0_390,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_384,c_0_341]) ).

thf(c_0_391,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_386]),c_0_387]),c_0_122]) ).

thf(c_0_392,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_388,c_0_386]),c_0_387]),c_0_146]) ).

thf(c_0_393,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_389,c_0_81]) ).

thf(c_0_394,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_390,c_0_81]) ).

thf(c_0_395,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_396,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk6_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_391,c_0_371]),c_0_392]) ).

thf(c_0_397,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_393]),c_0_394]),c_0_122]) ).

thf(c_0_398,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_395,c_0_393]),c_0_394]),c_0_124]) ).

thf(c_0_399,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_400,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_396,c_0_375]) ).

thf(c_0_401,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk7_0 )
      | ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_397,c_0_371]),c_0_398]) ).

thf(c_0_402,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_399,c_0_400]) ).

thf(c_0_403,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk6_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_156,c_0_400]) ).

thf(c_0_404,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_405,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ( q @ esk5_0 ) ),
    inference(spm,[status(thm)],[c_0_401,c_0_380]) ).

thf(c_0_406,negated_conjecture,
    rel_s4 @ esk3_0 @ esk6_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_402,c_0_386]),c_0_387]),c_0_403]) ).

thf(c_0_407,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_404,c_0_405]) ).

thf(c_0_408,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk7_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(spm,[status(thm)],[c_0_137,c_0_405]) ).

thf(c_0_409,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk6_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_226,c_0_406]) ).

thf(c_0_410,negated_conjecture,
    rel_s4 @ esk3_0 @ esk7_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_407,c_0_393]),c_0_394]),c_0_408]) ).

thf(c_0_411,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk6_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_406]) ).

thf(c_0_412,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk4_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_226,c_0_371]) ).

thf(c_0_413,negated_conjecture,
    ! [X16: $i,X7: $i,X3: $i] :
      ( ( p @ esk4_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ( r @ X16 )
      | ~ ( rel_s4 @ esk3_0 @ X16 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_85,c_0_371]) ).

thf(c_0_414,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_409,c_0_410]) ).

thf(c_0_415,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_411,c_0_410]) ).

thf(c_0_416,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_412,c_0_410]) ).

thf(c_0_417,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(spm,[status(thm)],[c_0_413,c_0_410]) ).

thf(c_0_418,negated_conjecture,
    ! [X3: $i] :
      ( ( q @ esk10_0 )
      | ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_414,c_0_220]) ).

thf(c_0_419,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk11_0 )
      | ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_415,c_0_341]) ).

thf(c_0_420,negated_conjecture,
    ! [X3: $i] :
      ( ( q @ esk10_0 )
      | ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_416,c_0_220]) ).

thf(c_0_421,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk11_0 )
      | ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_417,c_0_341]) ).

thf(c_0_422,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_418,c_0_81]) ).

thf(c_0_423,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk6_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_419,c_0_81]) ).

thf(c_0_424,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_420,c_0_81]) ).

thf(c_0_425,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( r @ esk7_0 )
    | ( p @ esk4_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_421,c_0_81]) ).

thf(c_0_426,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ esk6_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_422]),c_0_423]),c_0_97]) ).

thf(c_0_427,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ esk4_0 )
      | ( r @ esk7_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_424]),c_0_425]),c_0_97]) ).

thf(c_0_428,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk6_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_426,c_0_406]) ).

thf(c_0_429,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk7_0 )
      | ( p @ esk4_0 )
      | ( r @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_427,c_0_371]) ).

thf(c_0_430,negated_conjecture,
    ( ( p @ esk6_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_428,c_0_410]) ).

thf(c_0_431,negated_conjecture,
    ( ( p @ esk4_0 )
    | ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_429,c_0_410]) ).

thf(c_0_432,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_430]),c_0_300]) ).

thf(c_0_433,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_171,c_0_430]),c_0_173]) ).

thf(c_0_434,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_431]),c_0_432]) ).

thf(c_0_435,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_431]),c_0_433]) ).

thf(c_0_436,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( q @ esk10_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_434,c_0_220]) ).

thf(c_0_437,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_170,c_0_430]),c_0_182]) ).

thf(c_0_438,negated_conjecture,
    ! [X3: $i] :
      ( ( rel_s4 @ esk3_0 @ esk5_0 )
      | ( r @ esk11_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_435,c_0_341]) ).

thf(c_0_439,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_440,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( q @ esk10_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_436,c_0_81]),c_0_437]) ).

thf(c_0_441,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ( r @ esk11_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_438,c_0_81]),c_0_437]) ).

thf(c_0_442,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_443,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( r @ esk7_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_439,c_0_440]),c_0_441]) ).

thf(c_0_444,negated_conjecture,
    ( ( rel_s4 @ esk3_0 @ esk5_0 )
    | ~ ( p @ esk6_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_442,c_0_440]),c_0_441]) ).

thf(c_0_445,negated_conjecture,
    rel_s4 @ esk3_0 @ esk5_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_443,c_0_430]),c_0_444]) ).

thf(c_0_446,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( q @ esk5_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_445]),c_0_432]) ).

thf(c_0_447,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( q @ esk5_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_376,c_0_445]),c_0_433]) ).

thf(c_0_448,negated_conjecture,
    ! [X3: $i] :
      ( ( q @ esk10_0 )
      | ( q @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_446,c_0_220]) ).

thf(c_0_449,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk11_0 )
      | ( q @ esk5_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_447,c_0_341]) ).

thf(c_0_450,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( q @ esk5_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_448,c_0_81]) ).

thf(c_0_451,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( q @ esk5_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_449,c_0_81]) ).

thf(c_0_452,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( p @ esk6_0 )
      | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_453,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_315,c_0_450]) ).

thf(c_0_454,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_317,c_0_450]) ).

thf(c_0_455,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( r @ esk7_0 ) ),
    inference(spm,[status(thm)],[c_0_192,c_0_451]) ).

thf(c_0_456,negated_conjecture,
    ! [X7: $i,X3: $i] :
      ( ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ( r @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( p @ esk6_0 ) ),
    inference(spm,[status(thm)],[c_0_452,c_0_451]) ).

thf(c_0_457,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ esk9_0 )
      | ( q @ esk10_0 )
      | ( q @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_453,c_0_430]),c_0_454]) ).

thf(c_0_458,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ esk9_0 )
      | ( r @ esk11_0 )
      | ( r @ X3 )
      | ( p @ X7 )
      | ~ ( rel_s4 @ esk8_0 @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_455,c_0_430]),c_0_456]) ).

thf(c_0_459,negated_conjecture,
    ! [X3: $i] :
      ( ( q @ esk10_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_457,c_0_220]) ).

thf(c_0_460,negated_conjecture,
    ! [X3: $i] :
      ( ( r @ esk11_0 )
      | ( p @ esk9_0 )
      | ( p @ X3 )
      | ~ ( rel_s4 @ esk8_0 @ X3 ) ),
    inference(spm,[status(thm)],[c_0_458,c_0_341]) ).

thf(c_0_461,negated_conjecture,
    ( ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_462,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( q @ esk10_0 ) ),
    inference(spm,[status(thm)],[c_0_459,c_0_81]) ).

thf(c_0_463,negated_conjecture,
    ( ( p @ esk9_0 )
    | ( r @ esk11_0 ) ),
    inference(spm,[status(thm)],[c_0_460,c_0_81]) ).

thf(c_0_464,negated_conjecture,
    ( ~ ( p @ esk4_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_430]),c_0_200]) ).

thf(c_0_465,negated_conjecture,
    ( ~ ( r @ esk7_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_461,c_0_462]),c_0_463]),c_0_464]) ).

thf(c_0_466,negated_conjecture,
    ( ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_467,negated_conjecture,
    ( ( p @ esk6_0 )
    | ~ ( p @ esk4_0 ) ),
    inference(spm,[status(thm)],[c_0_465,c_0_430]) ).

thf(c_0_468,negated_conjecture,
    ~ ( p @ esk4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_466,c_0_462]),c_0_467]),c_0_463]),c_0_464]) ).

thf(c_0_469,negated_conjecture,
    ! [X3: $i,X7: $i] :
      ( ( p @ X3 )
      | ( q @ X7 )
      | ~ ( rel_s4 @ esk3_0 @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X7 ) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_385,c_0_462]),c_0_463]),c_0_122]) ).

thf(c_0_470,negated_conjecture,
    r @ esk7_0,
    inference(sr,[status(thm)],[c_0_431,c_0_468]) ).

thf(c_0_471,negated_conjecture,
    ! [X3: $i] :
      ( ( q @ X3 )
      | ~ ( rel_s4 @ esk3_0 @ X3 ) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_469,c_0_371]),c_0_468]) ).

thf(c_0_472,negated_conjecture,
    ( ~ ( q @ esk5_0 )
    | ~ ( p @ esk9_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_212,c_0_470])]) ).

thf(c_0_473,negated_conjecture,
    q @ esk5_0,
    inference(spm,[status(thm)],[c_0_471,c_0_445]) ).

thf(c_0_474,negated_conjecture,
    ( ~ ( r @ esk11_0 )
    | ~ ( q @ esk10_0 )
    | ~ ( r @ esk7_0 )
    | ~ ( q @ esk5_0 ) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

thf(c_0_475,negated_conjecture,
    ~ ( p @ esk9_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_472,c_0_473])]) ).

thf(c_0_476,negated_conjecture,
    ( ~ ( r @ esk11_0 )
    | ~ ( q @ esk5_0 )
    | ~ ( q @ esk10_0 ) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_474,c_0_470])]) ).

thf(c_0_477,negated_conjecture,
    r @ esk11_0,
    inference(sr,[status(thm)],[c_0_463,c_0_475]) ).

thf(c_0_478,negated_conjecture,
    ~ ( q @ esk10_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_476,c_0_473])]),c_0_477])]) ).

thf(c_0_479,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_462,c_0_475]),c_0_478]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SYN045^7 : TPTP v8.2.0. Released v5.5.0.
% 0.13/0.14  % Command    : run_E %s %d THM
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Mon May 20 14:07:23 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.20/0.49  Running higher-order theorem proving
% 0.20/0.49  Running: /export/starexec/sandbox2/solver/bin/eprover-ho --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.85/2.27  # Version: 3.1.0-ho
% 13.85/2.27  # Preprocessing class: HSMSSMSSMLMNHSN.
% 13.85/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.85/2.27  # Starting ho_unfolding_3 with 1500s (5) cores
% 13.85/2.27  # Starting ehoh_best2_full_lfho with 300s (1) cores
% 13.85/2.27  # Starting almost_fo_3_lam with 300s (1) cores
% 13.85/2.27  # Starting post_as_ho1 with 300s (1) cores
% 13.85/2.27  # ho_unfolding_3 with pid 7476 completed with status 0
% 13.85/2.27  # Result found by ho_unfolding_3
% 13.85/2.27  # Preprocessing class: HSMSSMSSMLMNHSN.
% 13.85/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.85/2.27  # Starting ho_unfolding_3 with 1500s (5) cores
% 13.85/2.27  # No SInE strategy applied
% 13.85/2.27  # Search class: HGHNS-FSLM11-SHSSMFNN
% 13.85/2.27  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.85/2.27  # Starting new_ho_10 with 811s (1) cores
% 13.85/2.27  # Starting ho_unfolding_3 with 151s (1) cores
% 13.85/2.27  # Starting new_bool_1 with 136s (1) cores
% 13.85/2.27  # Starting new_bool_2 with 136s (1) cores
% 13.85/2.27  # Starting new_bool_9 with 136s (1) cores
% 13.85/2.27  # new_bool_1 with pid 7485 completed with status 0
% 13.85/2.27  # Result found by new_bool_1
% 13.85/2.27  # Preprocessing class: HSMSSMSSMLMNHSN.
% 13.85/2.27  # Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 13.85/2.27  # Starting ho_unfolding_3 with 1500s (5) cores
% 13.85/2.27  # No SInE strategy applied
% 13.85/2.27  # Search class: HGHNS-FSLM11-SHSSMFNN
% 13.85/2.27  # Scheduled 6 strats onto 5 cores with 1500 seconds (1500 total)
% 13.85/2.27  # Starting new_ho_10 with 811s (1) cores
% 13.85/2.27  # Starting ho_unfolding_3 with 151s (1) cores
% 13.85/2.27  # Starting new_bool_1 with 136s (1) cores
% 13.85/2.27  # Preprocessing time       : 0.004 s
% 13.85/2.27  # Presaturation interreduction done
% 13.85/2.27  
% 13.85/2.27  # Proof found!
% 13.85/2.27  # SZS status Theorem
% 13.85/2.27  # SZS output start CNFRefutation
% See solution above
% 13.85/2.27  # Parsed axioms                        : 76
% 13.85/2.27  # Removed by relevancy pruning/SinE    : 0
% 13.85/2.27  # Initial clauses                      : 214
% 13.85/2.27  # Removed in clause preprocessing      : 39
% 13.85/2.27  # Initial clauses in saturation        : 175
% 13.85/2.27  # Processed clauses                    : 17159
% 13.85/2.27  # ...of these trivial                  : 6
% 13.85/2.27  # ...subsumed                          : 6475
% 13.85/2.27  # ...remaining for further processing  : 10677
% 13.85/2.27  # Other redundant clauses eliminated   : 0
% 13.85/2.27  # Clauses deleted for lack of memory   : 0
% 13.85/2.27  # Backward-subsumed                    : 9670
% 13.85/2.27  # Backward-rewritten                   : 710
% 13.85/2.27  # Generated clauses                    : 30448
% 13.85/2.27  # ...of the previous two non-redundant : 28687
% 13.85/2.27  # ...aggressively subsumed             : 0
% 13.85/2.27  # Contextual simplify-reflections      : 1747
% 13.85/2.27  # Paramodulations                      : 30424
% 13.85/2.27  # Factorizations                       : 0
% 13.85/2.27  # NegExts                              : 0
% 13.85/2.27  # Equation resolutions                 : 0
% 13.85/2.27  # Disequality decompositions           : 0
% 13.85/2.27  # Total rewrite steps                  : 823
% 13.85/2.27  # ...of those cached                   : 773
% 13.85/2.27  # Propositional unsat checks           : 2
% 13.85/2.27  #    Propositional check models        : 2
% 13.85/2.27  #    Propositional check unsatisfiable : 0
% 13.85/2.27  #    Propositional clauses             : 0
% 13.85/2.27  #    Propositional clauses after purity: 0
% 13.85/2.27  #    Propositional unsat core size     : 0
% 13.85/2.27  #    Propositional preprocessing time  : 0.000
% 13.85/2.27  #    Propositional encoding time       : 0.001
% 13.85/2.27  #    Propositional solver time         : 0.000
% 13.85/2.27  #    Success case prop preproc time    : 0.000
% 13.85/2.27  #    Success case prop encoding time   : 0.000
% 13.85/2.27  #    Success case prop solver time     : 0.000
% 13.85/2.27  # Current number of processed clauses  : 98
% 13.85/2.27  #    Positive orientable unit clauses  : 52
% 13.85/2.27  #    Positive unorientable unit clauses: 0
% 13.85/2.27  #    Negative unit clauses             : 3
% 13.85/2.27  #    Non-unit-clauses                  : 43
% 13.85/2.27  # Current number of unprocessed clauses: 11
% 13.85/2.27  # ...number of literals in the above   : 32
% 13.85/2.27  # Current number of archived formulas  : 0
% 13.85/2.27  # Current number of archived clauses   : 10579
% 13.85/2.27  # Clause-clause subsumption calls (NU) : 1943848
% 13.85/2.27  # Rec. Clause-clause subsumption calls : 50562
% 13.85/2.27  # Non-unit clause-clause subsumptions  : 17821
% 13.85/2.27  # Unit Clause-clause subsumption calls : 2831
% 13.85/2.27  # Rewrite failures with RHS unbound    : 0
% 13.85/2.27  # BW rewrite match attempts            : 28
% 13.85/2.27  # BW rewrite match successes           : 27
% 13.85/2.27  # Condensation attempts                : 0
% 13.85/2.27  # Condensation successes               : 0
% 13.85/2.27  # Termbank termtop insertions          : 795440
% 13.85/2.27  # Search garbage collected termcells   : 1583
% 13.85/2.27  
% 13.85/2.27  # -------------------------------------------------
% 13.85/2.27  # User time                : 1.746 s
% 13.85/2.27  # System time              : 0.013 s
% 13.85/2.27  # Total time               : 1.760 s
% 13.85/2.27  # Maximum resident set size: 2400 pages
% 13.85/2.27  
% 13.85/2.27  # -------------------------------------------------
% 13.85/2.27  # User time                : 8.661 s
% 13.85/2.27  # System time              : 0.062 s
% 13.85/2.27  # Total time               : 8.723 s
% 13.85/2.27  # Maximum resident set size: 1924 pages
% 13.85/2.27  % E---3.1 exiting
% 13.85/2.27  % E exiting
%------------------------------------------------------------------------------