TSTP Solution File: SYN067+1 by Enigma---0.5.1

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%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 04:49:29 EDT 2022

% Result   : Theorem 10.02s 2.52s
% Output   : CNFRefutation 10.02s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   62
% Syntax   : Number of formulae    :  325 (  17 unt;   0 def)
%            Number of atoms       : 1588 (   0 equ)
%            Maximal formula atoms :    9 (   4 avg)
%            Number of connectives : 1978 ( 715   ~;1248   |;   0   &)
%                                         (  15 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   6 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :   18 (  17 usr;  16 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-1 aty)
%            Number of variables   :  343 (   0 sgn  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_54,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_54) ).

cnf(i_0_66,negated_conjecture,
    ( big_p(esk2_0)
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_66) ).

cnf(i_0_55,negated_conjecture,
    ( big_p(esk4_0)
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_55) ).

cnf(i_0_67,negated_conjecture,
    ( big_p(esk2_0)
    | big_p(esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_67) ).

cnf(i_0_42,negated_conjecture,
    ( big_r(esk3_0,esk4_0)
    | ~ big_p(X1)
    | ~ big_p(esk3_0)
    | ~ big_r(X2,X1)
    | ~ big_r(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_42) ).

cnf(i_0_43,negated_conjecture,
    ( big_p(esk4_0)
    | ~ big_p(X1)
    | ~ big_p(esk3_0)
    | ~ big_r(X2,X1)
    | ~ big_r(esk1_0,X2) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_43) ).

cnf(i_0_35,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_r(X2,esk8_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_35) ).

cnf(i_0_84,negated_conjecture,
    big_p(a),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_84) ).

cnf(i_0_29,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X1,esk6_1(X1))
    | big_r(X2,esk8_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_29) ).

cnf(i_0_23,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X2,esk8_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_23) ).

cnf(i_0_34,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_34) ).

cnf(i_0_28,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X1,esk6_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_28) ).

cnf(i_0_22,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_22) ).

cnf(i_0_49,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk1_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk3_0,X3)
    | ~ big_r(esk3_0,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_49) ).

cnf(i_0_61,negated_conjecture,
    ( big_p(esk2_0)
    | ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk1_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk3_0,X3)
    | ~ big_r(esk3_0,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_61) ).

cnf(i_0_36,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_p(esk7_1(X2))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_36) ).

cnf(i_0_33,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_p(esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_33) ).

cnf(i_0_32,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_32) ).

cnf(i_0_31,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_31) ).

cnf(i_0_30,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk7_1(X2))
    | big_r(X1,esk6_1(X1))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_30) ).

cnf(i_0_27,negated_conjecture,
    ( big_p(X1)
    | big_p(esk9_1(X2))
    | big_r(X1,esk6_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_27) ).

cnf(i_0_26,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk6_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_26) ).

cnf(i_0_25,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk6_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_25) ).

cnf(i_0_24,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk7_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(a) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_24) ).

cnf(i_0_21,negated_conjecture,
    ( big_p(X1)
    | big_p(esk9_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_21) ).

cnf(i_0_20,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk10_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_20) ).

cnf(i_0_19,negated_conjecture,
    ( big_p(X1)
    | big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_19) ).

cnf(i_0_18,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_p(esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_18) ).

cnf(i_0_15,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_p(esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_15) ).

cnf(i_0_14,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_14) ).

cnf(i_0_13,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_13) ).

cnf(i_0_12,negated_conjecture,
    ( big_p(X1)
    | big_p(esk7_1(X1))
    | big_r(X2,esk6_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_12) ).

cnf(i_0_9,negated_conjecture,
    ( big_p(esk9_1(X1))
    | big_r(X2,esk6_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_9) ).

cnf(i_0_8,negated_conjecture,
    ( big_r(X1,esk6_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_8) ).

cnf(i_0_7,negated_conjecture,
    ( big_r(X1,esk6_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_7) ).

cnf(i_0_6,negated_conjecture,
    ( big_p(X1)
    | big_p(esk7_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_6) ).

cnf(i_0_3,negated_conjecture,
    ( big_p(esk9_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_3) ).

cnf(i_0_2,negated_conjecture,
    ( big_r(X1,esk10_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_2) ).

cnf(i_0_1,negated_conjecture,
    ( big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_1) ).

cnf(i_0_41,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk3_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk1_0,X3)
    | ~ big_r(esk3_0,X4) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_41) ).

cnf(i_0_11,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk6_1(X2))
    | big_r(X1,esk8_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk6_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_10) ).

cnf(i_0_5,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk8_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_5) ).

cnf(i_0_4,negated_conjecture,
    ( big_p(X1)
    | big_r(esk6_1(X2),esk5_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_4) ).

cnf(i_0_17,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_r(X1,esk8_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_17) ).

cnf(i_0_16,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_16) ).

cnf(i_0_37,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3)
    | ~ big_r(X4,X1)
    | ~ big_r(X5,X2)
    | ~ big_r(X6,X3)
    | ~ big_r(esk1_0,X4)
    | ~ big_r(esk3_0,X5)
    | ~ big_r(esk3_0,X6) ),
    file('/export/starexec/sandbox2/tmp/enigma-theBenchmark.p-ufgf0zlk/input.p',i_0_37) ).

fof(c_0_132,plain,
    ( ~ epred9_0
  <=> ! [X2,X3] :
        ( big_r(X2,esk10_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_133,negated_conjecture,
    ( epred9_0
    | big_r(X1,esk10_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_132]) ).

cnf(c_0_134,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    i_0_54 ).

cnf(c_0_135,negated_conjecture,
    ( big_p(esk2_0)
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    i_0_66 ).

fof(c_0_136,plain,
    ( ~ epred11_0
  <=> ! [X2,X3] :
        ( big_r(esk10_1(X2),esk9_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_137,negated_conjecture,
    ( big_p(esk4_0)
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    i_0_55 ).

cnf(c_0_138,negated_conjecture,
    ( big_p(esk2_0)
    | big_p(esk4_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    i_0_67 ).

cnf(c_0_139,negated_conjecture,
    ( big_r(esk3_0,esk4_0)
    | ~ big_p(X1)
    | ~ big_p(esk3_0)
    | ~ big_r(X2,X1)
    | ~ big_r(esk1_0,X2) ),
    i_0_42 ).

cnf(c_0_140,negated_conjecture,
    ( epred9_0
    | big_r(esk1_0,esk10_1(esk1_0))
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_134]),c_0_135]) ).

cnf(c_0_141,negated_conjecture,
    ( epred11_0
    | big_r(esk10_1(X1),esk9_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_136]) ).

fof(c_0_142,plain,
    ( ~ epred8_0
  <=> ! [X2,X3] :
        ( big_p(esk9_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_143,negated_conjecture,
    ( big_p(esk4_0)
    | ~ big_p(X1)
    | ~ big_p(esk3_0)
    | ~ big_r(X2,X1)
    | ~ big_r(esk1_0,X2) ),
    i_0_43 ).

cnf(c_0_144,negated_conjecture,
    ( epred9_0
    | big_r(esk1_0,esk10_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_137]),c_0_138]) ).

cnf(c_0_145,negated_conjecture,
    ( epred9_0
    | big_r(esk3_0,esk4_0)
    | ~ big_r(esk10_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_140]) ).

cnf(c_0_146,negated_conjecture,
    ( epred11_0
    | big_r(esk10_1(esk1_0),esk9_1(esk1_0))
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_134]),c_0_135]) ).

cnf(c_0_147,negated_conjecture,
    ( epred8_0
    | big_p(esk9_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_142]) ).

cnf(c_0_148,negated_conjecture,
    ( epred9_0
    | big_p(esk4_0)
    | ~ big_r(esk10_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_144]) ).

cnf(c_0_149,negated_conjecture,
    ( epred11_0
    | big_r(esk10_1(esk1_0),esk9_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_137]),c_0_138]) ).

fof(c_0_150,plain,
    ( ~ epred10_0
  <=> ! [X2,X3] :
        ( big_r(X2,esk6_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_151,negated_conjecture,
    ( epred11_0
    | epred9_0
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk9_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_145,c_0_146]) ).

cnf(c_0_152,negated_conjecture,
    ( epred8_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk9_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_134]),c_0_135]) ).

cnf(c_0_153,negated_conjecture,
    ( epred11_0
    | epred9_0
    | big_p(esk4_0)
    | ~ big_p(esk9_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_148,c_0_149]) ).

cnf(c_0_154,negated_conjecture,
    ( epred8_0
    | big_p(esk9_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_137]),c_0_138]) ).

fof(c_0_155,plain,
    ( ~ epred14_0
  <=> ! [X1,X3] :
        ( ~ big_p(X1)
        | ~ big_r(X3,X1)
        | ~ big_r(esk1_0,X3) ) ),
    introduced(definition) ).

fof(c_0_156,plain,
    ( ~ epred4_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_r(X1,esk6_1(X1)) ) ),
    introduced(definition) ).

fof(c_0_157,plain,
    ( ~ epred17_0
  <=> ! [X3,X6] :
        ( ~ big_p(X3)
        | ~ big_r(X6,X3)
        | ~ big_r(esk3_0,X6) ) ),
    introduced(definition) ).

cnf(c_0_158,negated_conjecture,
    ( epred10_0
    | big_r(X1,esk6_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_150]) ).

fof(c_0_159,plain,
    ( ~ epred12_0
  <=> ! [X2,X3] :
        ( big_r(esk6_1(X2),esk5_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_160,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_161,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_153,c_0_154]) ).

cnf(c_0_162,negated_conjecture,
    ( epred14_0
    | ~ big_r(esk1_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_155]) ).

cnf(c_0_163,negated_conjecture,
    ( epred4_0
    | big_r(X1,esk6_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_156]) ).

fof(c_0_164,plain,
    ( ~ epred6_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_r(esk6_1(X1),esk5_1(X1)) ) ),
    introduced(definition) ).

cnf(c_0_165,negated_conjecture,
    ( epred17_0
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_157]) ).

fof(c_0_166,plain,
    ( ~ epred3_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_r(X2,esk8_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_167,negated_conjecture,
    ( epred10_0
    | big_r(esk1_0,esk6_1(esk1_0))
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_134]),c_0_135]) ).

cnf(c_0_168,negated_conjecture,
    ( epred12_0
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_159]) ).

fof(c_0_169,plain,
    ( ~ epred7_0
  <=> ! [X2,X3] :
        ( big_p(esk5_1(X2))
        | ~ big_p(X3)
        | ~ big_r(X2,X3) ) ),
    introduced(definition) ).

cnf(c_0_170,negated_conjecture,
    ( epred10_0
    | big_r(esk1_0,esk6_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_137]),c_0_138]) ).

cnf(c_0_171,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk3_0,esk10_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_160]),c_0_161]) ).

cnf(c_0_172,negated_conjecture,
    ( epred14_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_173,negated_conjecture,
    ( epred6_0
    | big_r(esk6_1(X1),esk5_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_164]) ).

fof(c_0_174,plain,
    ( ~ epred2_0
  <=> ! [X1] :
        ( big_p(X1)
        | big_p(esk5_1(X1)) ) ),
    introduced(definition) ).

cnf(c_0_175,negated_conjecture,
    ( epred17_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_163]) ).

cnf(c_0_176,negated_conjecture,
    ( epred3_0
    | big_r(X1,esk8_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_166]) ).

fof(c_0_177,plain,
    ( ~ epred5_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_r(esk8_1(X2),esk7_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_178,negated_conjecture,
    ( epred10_0
    | big_r(esk3_0,esk4_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_167]) ).

cnf(c_0_179,negated_conjecture,
    ( epred12_0
    | big_r(esk6_1(esk1_0),esk5_1(esk1_0))
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_134]),c_0_135]) ).

cnf(c_0_180,negated_conjecture,
    ( epred7_0
    | big_p(esk5_1(X1))
    | ~ big_r(X1,X2)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_169]) ).

cnf(c_0_181,negated_conjecture,
    ( epred10_0
    | big_p(esk4_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_170]) ).

cnf(c_0_182,negated_conjecture,
    ( epred12_0
    | big_r(esk6_1(esk1_0),esk5_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_137]),c_0_138]) ).

cnf(c_0_183,negated_conjecture,
    ( epred17_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_r(esk10_1(esk3_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_171]) ).

cnf(c_0_184,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk10_1(esk3_0),esk9_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_160]),c_0_161]) ).

cnf(c_0_185,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_p(esk9_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_160]),c_0_161]) ).

cnf(c_0_186,negated_conjecture,
    ( epred14_0
    | epred6_0
    | epred4_0
    | big_p(esk1_0)
    | ~ big_p(esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_172,c_0_173]) ).

cnf(c_0_187,negated_conjecture,
    ( epred2_0
    | big_p(esk5_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_174]) ).

cnf(c_0_188,negated_conjecture,
    ( epred17_0
    | epred6_0
    | epred4_0
    | big_p(esk3_0)
    | ~ big_p(esk5_1(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_175,c_0_173]) ).

cnf(c_0_189,negated_conjecture,
    ( epred3_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_r(esk8_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_176]) ).

cnf(c_0_190,negated_conjecture,
    ( epred5_0
    | big_r(esk8_1(X1),esk7_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_177]) ).

fof(c_0_191,plain,
    ( ~ epred1_0
  <=> ! [X2] :
        ( big_p(X2)
        | big_p(esk7_1(X2)) ) ),
    introduced(definition) ).

cnf(c_0_192,negated_conjecture,
    ( epred3_0
    | big_p(esk1_0)
    | big_p(esk4_0)
    | ~ big_r(esk8_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_176]) ).

cnf(c_0_193,negated_conjecture,
    ( epred12_0
    | epred10_0
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk5_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_178,c_0_179]) ).

cnf(c_0_194,negated_conjecture,
    ( epred7_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk5_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_134]),c_0_135]) ).

cnf(c_0_195,negated_conjecture,
    ( epred12_0
    | epred10_0
    | big_p(esk4_0)
    | ~ big_p(esk5_1(esk1_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_181,c_0_182]) ).

cnf(c_0_196,negated_conjecture,
    ( epred7_0
    | big_p(esk5_1(esk1_0))
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_137]),c_0_138]) ).

cnf(c_0_197,negated_conjecture,
    ( epred14_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_r(esk8_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_176]) ).

cnf(c_0_198,negated_conjecture,
    ( epred17_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_r(esk8_1(esk3_0),X1)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_176]) ).

cnf(c_0_199,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_r(X2,esk8_1(X2))
    | ~ big_p(a) ),
    i_0_35 ).

cnf(c_0_200,negated_conjecture,
    big_p(a),
    i_0_84 ).

cnf(c_0_201,negated_conjecture,
    ( epred17_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_183,c_0_184]),c_0_185]) ).

cnf(c_0_202,negated_conjecture,
    ( epred14_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_186,c_0_187]) ).

cnf(c_0_203,negated_conjecture,
    ( epred17_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_188,c_0_187]) ).

cnf(c_0_204,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X1,esk6_1(X1))
    | big_r(X2,esk8_1(X2))
    | ~ big_p(a) ),
    i_0_29 ).

cnf(c_0_205,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X2,esk8_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(a) ),
    i_0_23 ).

cnf(c_0_206,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    i_0_34 ).

cnf(c_0_207,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(X1,esk6_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    i_0_28 ).

cnf(c_0_208,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk8_1(X2),esk7_1(X2))
    | ~ big_p(a) ),
    i_0_22 ).

cnf(c_0_209,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk7_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_189,c_0_190]) ).

cnf(c_0_210,negated_conjecture,
    ( epred1_0
    | big_p(esk7_1(X1))
    | big_p(X1) ),
    inference(split_equiv,[status(thm)],[c_0_191]) ).

cnf(c_0_211,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_p(esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk7_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_192,c_0_190]) ).

cnf(c_0_212,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk3_0,esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_213,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_p(esk4_0)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_214,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | big_p(esk1_0)
    | ~ big_p(esk7_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_197,c_0_190]) ).

cnf(c_0_215,negated_conjecture,
    ( epred17_0
    | epred5_0
    | epred3_0
    | big_p(esk3_0)
    | ~ big_p(esk7_1(esk3_0)) ),
    inference(spm,[status(thm)],[c_0_198,c_0_190]) ).

cnf(c_0_216,negated_conjecture,
    ( ~ epred3_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_199,c_0_200])]),c_0_166]),c_0_174]) ).

cnf(c_0_217,negated_conjecture,
    ( epred17_0
    | epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred6_0
    | epred4_0
    | epred2_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_202]),c_0_203]) ).

cnf(c_0_218,negated_conjecture,
    ( ~ epred4_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_204,c_0_200])]),c_0_156]),c_0_166]) ).

cnf(c_0_219,negated_conjecture,
    ( ~ epred6_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_205,c_0_200])]),c_0_164]),c_0_166]) ).

cnf(c_0_220,negated_conjecture,
    ( ~ epred5_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_206,c_0_200])]),c_0_177]),c_0_174]) ).

cnf(c_0_221,negated_conjecture,
    ( ~ epred5_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_207,c_0_200])]),c_0_177]),c_0_156]) ).

cnf(c_0_222,negated_conjecture,
    ( ~ epred6_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_208,c_0_200])]),c_0_164]),c_0_177]) ).

cnf(c_0_223,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk1_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk3_0,X3)
    | ~ big_r(esk3_0,X4) ),
    i_0_49 ).

cnf(c_0_224,negated_conjecture,
    ( big_p(esk2_0)
    | ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk1_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk3_0,X3)
    | ~ big_r(esk3_0,X4) ),
    i_0_61 ).

fof(c_0_225,plain,
    ( ~ epred15_0
  <=> ! [X2,X4] :
        ( ~ big_p(X2)
        | ~ big_p(esk3_0)
        | ~ big_r(X4,X2)
        | ~ big_r(esk3_0,X4) ) ),
    introduced(definition) ).

cnf(c_0_226,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_209,c_0_210]) ).

cnf(c_0_227,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0)
    | big_p(esk4_0)
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_211,c_0_210]) ).

cnf(c_0_228,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk3_0,esk6_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_212]),c_0_213]) ).

cnf(c_0_229,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk5_1(X1))
    | big_p(esk7_1(X2))
    | ~ big_p(a) ),
    i_0_36 ).

cnf(c_0_230,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_214,c_0_210]) ).

cnf(c_0_231,negated_conjecture,
    ( epred17_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_215,c_0_210]) ).

cnf(c_0_232,negated_conjecture,
    ( epred17_0
    | epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ epred3_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_216,c_0_217]),c_0_218]),c_0_219]) ).

cnf(c_0_233,negated_conjecture,
    ( epred17_0
    | epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ epred5_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_220,c_0_217]),c_0_221]),c_0_222]) ).

cnf(c_0_234,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_p(esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_33 ).

cnf(c_0_235,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_32 ).

cnf(c_0_236,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_31 ).

cnf(c_0_237,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk7_1(X2))
    | big_r(X1,esk6_1(X1))
    | ~ big_p(a) ),
    i_0_30 ).

cnf(c_0_238,negated_conjecture,
    ( big_p(X1)
    | big_p(esk9_1(X2))
    | big_r(X1,esk6_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_27 ).

cnf(c_0_239,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk6_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_26 ).

cnf(c_0_240,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk6_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_25 ).

cnf(c_0_241,negated_conjecture,
    ( big_p(X1)
    | big_p(X2)
    | big_p(esk7_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(a) ),
    i_0_24 ).

cnf(c_0_242,negated_conjecture,
    ( big_p(X1)
    | big_p(esk9_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_21 ).

cnf(c_0_243,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk10_1(X2))
    | big_r(esk6_1(X1),esk5_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_20 ).

cnf(c_0_244,negated_conjecture,
    ( big_p(X1)
    | big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_19 ).

cnf(c_0_245,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_p(esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_18 ).

cnf(c_0_246,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_p(esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_15 ).

cnf(c_0_247,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_14 ).

cnf(c_0_248,negated_conjecture,
    ( big_p(esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_13 ).

cnf(c_0_249,negated_conjecture,
    ( big_p(X1)
    | big_p(esk7_1(X1))
    | big_r(X2,esk6_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_12 ).

cnf(c_0_250,negated_conjecture,
    ( big_p(esk9_1(X1))
    | big_r(X2,esk6_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    i_0_9 ).

cnf(c_0_251,negated_conjecture,
    ( big_r(X1,esk6_1(X1))
    | big_r(X2,esk10_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_8 ).

cnf(c_0_252,negated_conjecture,
    ( big_r(X1,esk6_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_7 ).

cnf(c_0_253,negated_conjecture,
    ( big_p(X1)
    | big_p(esk7_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_6 ).

cnf(c_0_254,negated_conjecture,
    ( big_p(esk9_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    i_0_3 ).

cnf(c_0_255,negated_conjecture,
    ( big_r(X1,esk10_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X2,X3)
    | ~ big_r(X1,X4) ),
    i_0_2 ).

cnf(c_0_256,negated_conjecture,
    ( big_r(esk6_1(X1),esk5_1(X1))
    | big_r(esk10_1(X2),esk9_1(X2))
    | ~ big_p(X3)
    | ~ big_p(X4)
    | ~ big_p(a)
    | ~ big_r(X1,X3)
    | ~ big_r(X2,X4) ),
    i_0_1 ).

cnf(c_0_257,negated_conjecture,
    ( big_r(esk1_0,esk2_0)
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk1_0)
    | ~ big_p(X2) ),
    inference(condense,[status(thm)],[c_0_223]) ).

cnf(c_0_258,negated_conjecture,
    ( big_p(esk2_0)
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk1_0)
    | ~ big_p(X2) ),
    inference(condense,[status(thm)],[c_0_224]) ).

cnf(c_0_259,negated_conjecture,
    ( epred15_0
    | ~ big_r(esk3_0,X1)
    | ~ big_r(X1,X2)
    | ~ big_p(esk3_0)
    | ~ big_p(X2) ),
    inference(split_equiv,[status(thm)],[c_0_225]) ).

cnf(c_0_260,negated_conjecture,
    ( epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk3_0,esk10_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_226]),c_0_227]) ).

cnf(c_0_261,negated_conjecture,
    ( epred17_0
    | epred12_0
    | epred10_0
    | epred7_0
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_228]) ).

cnf(c_0_262,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk6_1(esk3_0),esk5_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_212]),c_0_213]) ).

cnf(c_0_263,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_p(esk5_1(esk3_0))
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_212]),c_0_213]) ).

cnf(c_0_264,negated_conjecture,
    ( ~ epred2_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_229,c_0_200])]),c_0_191]),c_0_174]) ).

cnf(c_0_265,negated_conjecture,
    ( epred17_0
    | epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_201,c_0_230]),c_0_231]),c_0_232]),c_0_233]) ).

cnf(c_0_266,negated_conjecture,
    ( ~ epred8_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_234,c_0_200])]),c_0_142]),c_0_174]) ).

cnf(c_0_267,negated_conjecture,
    ( ~ epred9_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_235,c_0_200])]),c_0_132]),c_0_174]) ).

cnf(c_0_268,negated_conjecture,
    ( ~ epred11_0
    | ~ epred2_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_236,c_0_200])]),c_0_136]),c_0_174]) ).

cnf(c_0_269,negated_conjecture,
    ( ~ epred4_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_200])]),c_0_156]),c_0_191]) ).

cnf(c_0_270,negated_conjecture,
    ( ~ epred8_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_238,c_0_200])]),c_0_156]),c_0_142]) ).

cnf(c_0_271,negated_conjecture,
    ( ~ epred9_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_239,c_0_200])]),c_0_156]),c_0_132]) ).

cnf(c_0_272,negated_conjecture,
    ( ~ epred11_0
    | ~ epred4_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_240,c_0_200])]),c_0_136]),c_0_156]) ).

cnf(c_0_273,negated_conjecture,
    ( ~ epred6_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_241,c_0_200])]),c_0_164]),c_0_191]) ).

cnf(c_0_274,negated_conjecture,
    ( ~ epred8_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_242,c_0_200])]),c_0_164]),c_0_142]) ).

cnf(c_0_275,negated_conjecture,
    ( ~ epred9_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_243,c_0_200])]),c_0_164]),c_0_132]) ).

cnf(c_0_276,negated_conjecture,
    ( ~ epred11_0
    | ~ epred6_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_244,c_0_200])]),c_0_136]),c_0_164]) ).

cnf(c_0_277,negated_conjecture,
    ( ~ epred7_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_200])]),c_0_191]),c_0_169]) ).

cnf(c_0_278,negated_conjecture,
    ( ~ epred8_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_246,c_0_200])]),c_0_142]),c_0_169]) ).

cnf(c_0_279,negated_conjecture,
    ( ~ epred9_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_247,c_0_200])]),c_0_132]),c_0_169]) ).

cnf(c_0_280,negated_conjecture,
    ( ~ epred11_0
    | ~ epred7_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_248,c_0_200])]),c_0_136]),c_0_169]) ).

cnf(c_0_281,negated_conjecture,
    ( ~ epred10_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_249,c_0_200])]),c_0_150]),c_0_191]) ).

cnf(c_0_282,negated_conjecture,
    ( ~ epred10_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_250,c_0_200])]),c_0_150]),c_0_142]) ).

cnf(c_0_283,negated_conjecture,
    ( ~ epred10_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_251,c_0_200])]),c_0_150]),c_0_132]) ).

cnf(c_0_284,negated_conjecture,
    ( ~ epred11_0
    | ~ epred10_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_252,c_0_200])]),c_0_136]),c_0_150]) ).

cnf(c_0_285,negated_conjecture,
    ( ~ epred12_0
    | ~ epred1_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_253,c_0_200])]),c_0_159]),c_0_191]) ).

cnf(c_0_286,negated_conjecture,
    ( ~ epred12_0
    | ~ epred8_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_254,c_0_200])]),c_0_159]),c_0_142]) ).

cnf(c_0_287,negated_conjecture,
    ( ~ epred12_0
    | ~ epred9_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_255,c_0_200])]),c_0_159]),c_0_132]) ).

cnf(c_0_288,negated_conjecture,
    ( ~ epred12_0
    | ~ epred11_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_256,c_0_200])]),c_0_136]),c_0_159]) ).

cnf(c_0_289,negated_conjecture,
    ( epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_r(esk8_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_176]) ).

cnf(c_0_290,negated_conjecture,
    ( epred3_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_r(esk8_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_176]) ).

cnf(c_0_291,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk1_0,esk2_0)
    | ~ big_r(esk10_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_171]) ).

cnf(c_0_292,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_p(esk2_0)
    | ~ big_r(esk10_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_171]) ).

cnf(c_0_293,negated_conjecture,
    ( epred4_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_139,c_0_163]) ).

cnf(c_0_294,negated_conjecture,
    ( epred15_0
    | epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0)
    | ~ big_r(esk10_1(esk3_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_295,negated_conjecture,
    ( epred11_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk10_1(esk3_0),esk9_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_226]),c_0_227]) ).

cnf(c_0_296,negated_conjecture,
    ( epred15_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_r(esk10_1(esk3_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_171]) ).

cnf(c_0_297,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(esk3_0)
    | ~ big_r(X3,X1)
    | ~ big_r(X4,X2)
    | ~ big_r(esk1_0,X3)
    | ~ big_r(esk3_0,X4) ),
    i_0_41 ).

cnf(c_0_298,negated_conjecture,
    ( epred17_0
    | epred12_0
    | epred10_0
    | epred7_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_261,c_0_262]),c_0_263]) ).

cnf(c_0_299,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_265]),c_0_266]),c_0_267]),c_0_268]) ).

cnf(c_0_300,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_265]),c_0_270]),c_0_271]),c_0_272]) ).

cnf(c_0_301,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_265]),c_0_274]),c_0_275]),c_0_276]) ).

cnf(c_0_302,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_265]),c_0_278]),c_0_279]),c_0_280]) ).

cnf(c_0_303,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_265]),c_0_282]),c_0_283]),c_0_284]) ).

cnf(c_0_304,negated_conjecture,
    ( epred17_0
    | epred14_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_265]),c_0_286]),c_0_287]),c_0_288]) ).

cnf(c_0_305,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk7_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_289,c_0_190]) ).

cnf(c_0_306,negated_conjecture,
    ( epred5_0
    | epred3_0
    | big_p(esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk7_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_290,c_0_190]) ).

cnf(c_0_307,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_291,c_0_184]),c_0_185]) ).

cnf(c_0_308,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_292,c_0_184]),c_0_185]) ).

cnf(c_0_309,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk5_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_293,c_0_173]) ).

cnf(c_0_310,negated_conjecture,
    ( epred15_0
    | epred11_0
    | epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk1_0)
    | ~ big_p(esk9_1(esk3_0))
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_294,c_0_295]) ).

cnf(c_0_311,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk9_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_226]),c_0_227]) ).

cnf(c_0_312,negated_conjecture,
    ( epred15_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_296,c_0_184]),c_0_185]) ).

cnf(c_0_313,negated_conjecture,
    ( ~ epred15_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[c_0_297,c_0_225]),c_0_155]) ).

cnf(c_0_314,negated_conjecture,
    ( epred17_0
    | epred14_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_202]),c_0_203]),c_0_299]),c_0_300]),c_0_301]),c_0_302]),c_0_303]),c_0_304]) ).

cnf(c_0_315,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_305,c_0_210]) ).

cnf(c_0_316,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_306,c_0_210]) ).

cnf(c_0_317,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk1_0,esk10_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_307]),c_0_308]) ).

cnf(c_0_318,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_r(esk3_0,esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_309,c_0_187]) ).

cnf(c_0_319,negated_conjecture,
    ( epred15_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_310,c_0_311]),c_0_312]) ).

cnf(c_0_320,negated_conjecture,
    ( epred17_0
    | ~ epred15_0 ),
    inference(spm,[status(thm)],[c_0_313,c_0_314]) ).

cnf(c_0_321,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk6_1(X2))
    | big_r(X1,esk8_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_11 ).

cnf(c_0_322,negated_conjecture,
    ( big_p(X1)
    | big_r(X2,esk6_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_10 ).

cnf(c_0_323,negated_conjecture,
    ( big_p(X1)
    | big_r(X1,esk8_1(X1))
    | big_r(esk6_1(X2),esk5_1(X2))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_5 ).

cnf(c_0_324,negated_conjecture,
    ( big_p(X1)
    | big_r(esk6_1(X2),esk5_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_4 ).

cnf(c_0_325,negated_conjecture,
    ( epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk1_0,esk10_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_315]),c_0_316]) ).

cnf(c_0_326,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_r(esk10_1(esk1_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_317]) ).

cnf(c_0_327,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_r(esk10_1(esk1_0),esk9_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_307]),c_0_308]) ).

cnf(c_0_328,negated_conjecture,
    ( epred11_0
    | epred9_0
    | epred8_0
    | big_p(esk9_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_307]),c_0_308]) ).

cnf(c_0_329,negated_conjecture,
    ( epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_r(esk3_0,esk6_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_318]),c_0_163]) ).

cnf(c_0_330,negated_conjecture,
    ( epred17_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_319,c_0_231]),c_0_320]) ).

cnf(c_0_331,negated_conjecture,
    ( ~ epred10_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_321,c_0_200])]),c_0_166]),c_0_150]) ).

cnf(c_0_332,negated_conjecture,
    ( ~ epred10_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_322,c_0_200])]),c_0_177]),c_0_150]) ).

cnf(c_0_333,negated_conjecture,
    ( ~ epred12_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_323,c_0_200])]),c_0_159]),c_0_166]) ).

cnf(c_0_334,negated_conjecture,
    ( ~ epred12_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_324,c_0_200])]),c_0_159]),c_0_177]) ).

cnf(c_0_335,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_r(X1,esk8_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_17 ).

cnf(c_0_336,negated_conjecture,
    ( big_p(X1)
    | big_p(esk5_1(X2))
    | big_r(esk8_1(X1),esk7_1(X1))
    | ~ big_p(X3)
    | ~ big_p(a)
    | ~ big_r(X2,X3) ),
    i_0_16 ).

cnf(c_0_337,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk1_0,esk2_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_228]) ).

cnf(c_0_338,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_p(esk2_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_228]) ).

cnf(c_0_339,negated_conjecture,
    ( epred14_0
    | epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | ~ big_r(esk10_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_325]),c_0_230]) ).

cnf(c_0_340,negated_conjecture,
    ( epred11_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk10_1(esk1_0),esk9_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_141,c_0_315]),c_0_316]) ).

cnf(c_0_341,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_326,c_0_327]),c_0_328]) ).

cnf(c_0_342,negated_conjecture,
    ( epred17_0
    | epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk4_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_329]) ).

cnf(c_0_343,negated_conjecture,
    ( epred12_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_r(esk6_1(esk3_0),esk5_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_318]),c_0_173]) ).

cnf(c_0_344,negated_conjecture,
    ( epred17_0
    | ~ epred2_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_330]),c_0_216]),c_0_220]),c_0_266]),c_0_267]),c_0_268]) ).

cnf(c_0_345,negated_conjecture,
    ( epred17_0
    | ~ epred4_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_330]),c_0_218]),c_0_221]),c_0_270]),c_0_271]),c_0_272]) ).

cnf(c_0_346,negated_conjecture,
    ( epred17_0
    | ~ epred6_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_330]),c_0_219]),c_0_222]),c_0_274]),c_0_275]),c_0_276]) ).

cnf(c_0_347,negated_conjecture,
    ( epred17_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_330]),c_0_331]),c_0_332]),c_0_282]),c_0_283]),c_0_284]) ).

cnf(c_0_348,negated_conjecture,
    ( epred17_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_330]),c_0_333]),c_0_334]),c_0_286]),c_0_287]),c_0_288]) ).

cnf(c_0_349,negated_conjecture,
    ( ~ epred7_0
    | ~ epred3_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_335,c_0_200])]),c_0_166]),c_0_169]) ).

cnf(c_0_350,negated_conjecture,
    ( ~ epred7_0
    | ~ epred5_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_336,c_0_200])]),c_0_177]),c_0_169]) ).

cnf(c_0_351,negated_conjecture,
    ( epred4_0
    | big_p(esk1_0)
    | big_p(esk4_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_143,c_0_163]) ).

cnf(c_0_352,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk1_0,esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_337,c_0_262]),c_0_263]) ).

cnf(c_0_353,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_p(esk2_0)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_338,c_0_262]),c_0_263]) ).

cnf(c_0_354,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred9_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | ~ big_p(esk9_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_339,c_0_340]),c_0_230]) ).

cnf(c_0_355,negated_conjecture,
    ( epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk9_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_147,c_0_315]),c_0_316]) ).

cnf(c_0_356,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_341,c_0_230]) ).

cnf(c_0_357,negated_conjecture,
    ( epred17_0
    | big_p(esk1_0)
    | ~ big_p(esk5_1(esk3_0))
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_342,c_0_343]),c_0_344]),c_0_345]),c_0_346]),c_0_347]),c_0_348]) ).

cnf(c_0_358,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk5_1(esk3_0))
    | big_p(esk1_0)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_318]),c_0_187]) ).

cnf(c_0_359,negated_conjecture,
    ( epred17_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_330]),c_0_349]),c_0_350]),c_0_278]),c_0_279]),c_0_280]) ).

cnf(c_0_360,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_p(esk4_0)
    | big_p(esk1_0)
    | ~ big_p(esk5_1(esk1_0))
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_351,c_0_173]) ).

cnf(c_0_361,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk1_0,esk6_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_352]),c_0_353]) ).

cnf(c_0_362,negated_conjecture,
    ( epred10_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk1_0,esk6_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_315]),c_0_316]) ).

cnf(c_0_363,negated_conjecture,
    ( epred14_0
    | epred11_0
    | epred9_0
    | epred8_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_354,c_0_355]),c_0_230]),c_0_356]) ).

cnf(c_0_364,negated_conjecture,
    ( epred17_0
    | big_p(esk1_0)
    | ~ big_p(esk4_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_357,c_0_358]),c_0_344]),c_0_345]),c_0_346]),c_0_359]) ).

cnf(c_0_365,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk1_0)
    | big_p(esk4_0)
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_360,c_0_187]) ).

cnf(c_0_366,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred7_0
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_361]) ).

cnf(c_0_367,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_r(esk6_1(esk1_0),esk5_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_352]),c_0_353]) ).

cnf(c_0_368,negated_conjecture,
    ( epred12_0
    | epred10_0
    | epred7_0
    | big_p(esk5_1(esk1_0))
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_352]),c_0_353]) ).

cnf(c_0_369,negated_conjecture,
    ( epred14_0
    | epred10_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_162,c_0_362]),c_0_230]) ).

cnf(c_0_370,negated_conjecture,
    ( epred12_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_r(esk6_1(esk1_0),esk5_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_315]),c_0_316]) ).

cnf(c_0_371,negated_conjecture,
    ( epred14_0
    | ~ epred10_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_363]),c_0_331]),c_0_332]),c_0_282]),c_0_283]),c_0_284]) ).

cnf(c_0_372,negated_conjecture,
    ( epred14_0
    | ~ epred12_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_363]),c_0_333]),c_0_334]),c_0_286]),c_0_287]),c_0_288]) ).

cnf(c_0_373,negated_conjecture,
    ( epred17_0
    | big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_364,c_0_365]),c_0_203]),c_0_344]),c_0_345]),c_0_346]) ).

cnf(c_0_374,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred7_0
    | ~ big_p(esk1_0)
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_366,c_0_367]),c_0_368]) ).

cnf(c_0_375,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0)
    | ~ big_p(esk5_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_369,c_0_370]),c_0_230]),c_0_371]),c_0_372]) ).

cnf(c_0_376,negated_conjecture,
    ( epred7_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk5_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_315]),c_0_316]) ).

cnf(c_0_377,negated_conjecture,
    ( epred14_0
    | ~ epred7_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_363]),c_0_349]),c_0_350]),c_0_278]),c_0_279]),c_0_280]) ).

cnf(c_0_378,negated_conjecture,
    ( ~ big_p(X1)
    | ~ big_p(X2)
    | ~ big_p(X3)
    | ~ big_r(X4,X1)
    | ~ big_r(X5,X2)
    | ~ big_r(X6,X3)
    | ~ big_r(esk1_0,X4)
    | ~ big_r(esk3_0,X5)
    | ~ big_r(esk3_0,X6) ),
    i_0_37 ).

cnf(c_0_379,negated_conjecture,
    ( epred17_0
    | ~ big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_373]),c_0_359]),c_0_347]),c_0_348]) ).

cnf(c_0_380,negated_conjecture,
    ( epred14_0
    | epred12_0
    | epred10_0
    | epred7_0
    | epred5_0
    | epred3_0
    | epred1_0
    | ~ big_p(esk3_0) ),
    inference(spm,[status(thm)],[c_0_374,c_0_230]) ).

cnf(c_0_381,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | epred1_0
    | big_p(esk3_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_375,c_0_376]),c_0_230]),c_0_377]) ).

cnf(c_0_382,negated_conjecture,
    ( ~ epred17_0
    | ~ epred14_0 ),
    inference(apply_def,[status(thm)],[inference(apply_def,[status(thm)],[inference(condense,[status(thm)],[c_0_378]),c_0_157]),c_0_155]) ).

cnf(c_0_383,negated_conjecture,
    epred17_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_379,c_0_203]),c_0_344]),c_0_345]),c_0_346]) ).

cnf(c_0_384,negated_conjecture,
    ( epred14_0
    | epred5_0
    | epred3_0
    | epred1_0 ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_380,c_0_381]),c_0_377]),c_0_371]),c_0_372]) ).

cnf(c_0_385,negated_conjecture,
    ~ epred14_0,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_382,c_0_383])]) ).

cnf(c_0_386,negated_conjecture,
    ( epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_257,c_0_163]) ).

cnf(c_0_387,negated_conjecture,
    ( epred5_0
    | epred3_0
    | epred1_0 ),
    inference(sr,[status(thm)],[c_0_384,c_0_385]) ).

cnf(c_0_388,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk5_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_386,c_0_173]) ).

cnf(c_0_389,negated_conjecture,
    ( epred4_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_r(esk6_1(esk3_0),X1)
    | ~ big_p(esk1_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_258,c_0_163]) ).

cnf(c_0_390,negated_conjecture,
    ~ epred6_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_387]),c_0_219]),c_0_222]) ).

cnf(c_0_391,negated_conjecture,
    ~ epred4_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_269,c_0_387]),c_0_218]),c_0_221]) ).

cnf(c_0_392,negated_conjecture,
    ~ epred2_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_264,c_0_387]),c_0_216]),c_0_220]) ).

cnf(c_0_393,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_r(esk1_0,esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_388,c_0_187]) ).

cnf(c_0_394,negated_conjecture,
    ( epred6_0
    | epred4_0
    | big_p(esk2_0)
    | big_p(esk3_0)
    | ~ big_p(esk5_1(esk3_0))
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_389,c_0_173]) ).

cnf(c_0_395,negated_conjecture,
    big_p(esk1_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_202,c_0_385]),c_0_390]),c_0_391]),c_0_392]) ).

cnf(c_0_396,negated_conjecture,
    ~ epred12_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_285,c_0_387]),c_0_333]),c_0_334]) ).

cnf(c_0_397,negated_conjecture,
    ~ epred10_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_281,c_0_387]),c_0_331]),c_0_332]) ).

cnf(c_0_398,negated_conjecture,
    ~ epred7_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_277,c_0_387]),c_0_349]),c_0_350]) ).

cnf(c_0_399,negated_conjecture,
    ( epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_r(esk1_0,esk6_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_158,c_0_393]),c_0_163]) ).

cnf(c_0_400,negated_conjecture,
    ( epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk3_0)
    | big_p(esk2_0)
    | ~ big_p(esk1_0) ),
    inference(spm,[status(thm)],[c_0_394,c_0_187]) ).

cnf(c_0_401,negated_conjecture,
    ~ big_p(esk3_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_374,c_0_395])]),c_0_385]),c_0_396]),c_0_397]),c_0_398]) ).

cnf(c_0_402,negated_conjecture,
    ( epred14_0
    | epred10_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk3_0)
    | ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(esk2_0)
    | ~ big_p(X1) ),
    inference(spm,[status(thm)],[c_0_162,c_0_399]) ).

cnf(c_0_403,negated_conjecture,
    big_p(esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_400,c_0_395])]),c_0_390]),c_0_391]),c_0_392]),c_0_401]) ).

cnf(c_0_404,negated_conjecture,
    big_r(esk1_0,esk2_0),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_393,c_0_395])]),c_0_390]),c_0_391]),c_0_392]),c_0_401]) ).

cnf(c_0_405,negated_conjecture,
    ( epred7_0
    | epred6_0
    | epred4_0
    | epred2_0
    | big_p(esk5_1(esk1_0))
    | big_p(esk3_0)
    | ~ big_p(esk2_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_180,c_0_393]),c_0_187]) ).

cnf(c_0_406,negated_conjecture,
    ( ~ big_r(esk6_1(esk1_0),X1)
    | ~ big_p(X1) ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_402,c_0_403])]),c_0_385]),c_0_397]),c_0_390]),c_0_391]),c_0_392]),c_0_401]) ).

cnf(c_0_407,negated_conjecture,
    big_r(esk6_1(esk1_0),esk5_1(esk1_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_404]),c_0_403])]),c_0_396]) ).

cnf(c_0_408,negated_conjecture,
    big_p(esk5_1(esk1_0)),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_405,c_0_403])]),c_0_398]),c_0_390]),c_0_391]),c_0_392]),c_0_401]) ).

cnf(c_0_409,negated_conjecture,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_406,c_0_407]),c_0_408])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN067+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n010.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 14:41:32 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  # ENIGMATIC: Selected complete mode:
% 10.02/2.52  # ENIGMATIC: Solved by autoschedule:
% 10.02/2.52  # No SInE strategy applied
% 10.02/2.52  # Trying AutoSched0 for 150 seconds
% 10.02/2.52  # AutoSched0-Mode selected heuristic G_N___023_B07_F1_SP_PI_Q7_CS_SP_CO_S0Y
% 10.02/2.52  # and selection function SelectMaxLComplexAvoidPosPred.
% 10.02/2.52  #
% 10.02/2.52  # Preprocessing time       : 0.026 s
% 10.02/2.52  
% 10.02/2.52  # Proof found!
% 10.02/2.52  # SZS status Theorem
% 10.02/2.52  # SZS output start CNFRefutation
% See solution above
% 10.02/2.52  # Training examples: 0 positive, 0 negative
% 10.02/2.52  
% 10.02/2.52  # -------------------------------------------------
% 10.02/2.52  # User time                : 0.105 s
% 10.02/2.52  # System time              : 0.010 s
% 10.02/2.52  # Total time               : 0.115 s
% 10.02/2.52  # Maximum resident set size: 7120 pages
% 10.02/2.52  
%------------------------------------------------------------------------------