TSTP Solution File: SYO605+1 by Enigma---0.5.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Enigma---0.5.1
% Problem  : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : enigmatic-eprover.py %s %d 1

% Computer : n005.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 15:30:36 EDT 2022

% Result   : Theorem 41.66s 6.60s
% Output   : CNFRefutation 41.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   44
%            Number of leaves      :   38
% Syntax   : Number of clauses     :  283 (  23 unt; 172 nHn; 189 RR)
%            Number of literals    : 1171 (   0 equ; 288 neg)
%            Maximal clause size   :   11 (   4 avg)
%            Maximal term depth    :    8 (   2 avg)
%            Number of predicates  :    8 (   7 usr;   3 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   2 con; 0-2 aty)
%            Number of variables   :  314 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(i_0_19,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_19) ).

cnf(i_0_30,plain,
    ( g_true_only(X1,X2)
    | g_both(X1,X2)
    | g_false_only(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_30) ).

cnf(i_0_17,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_17) ).

cnf(i_0_13,negated_conjecture,
    ( ~ g_true_only(X1,X2)
    | ~ g_true_only(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_13) ).

cnf(i_0_11,negated_conjecture,
    ( ~ g_true_only(X1,X2)
    | ~ g_both(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_11) ).

cnf(i_0_10,negated_conjecture,
    ( ~ g_false_only(X1,X2)
    | ~ g_false_only(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_10) ).

cnf(i_0_12,negated_conjecture,
    ( ~ g_false_only(X1,X2)
    | ~ g_both(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_12) ).

cnf(i_0_16,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_16) ).

cnf(i_0_15,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_15) ).

cnf(i_0_14,negated_conjecture,
    ( ~ g_both(X1,X2)
    | ~ g_true_only(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_14) ).

cnf(i_0_9,negated_conjecture,
    ( ~ g_both(X1,X2)
    | ~ g_false_only(X1,esk2_1(X2)) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_9) ).

cnf(i_0_18,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_18) ).

cnf(i_0_20,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_20) ).

cnf(i_0_51,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_51) ).

cnf(i_0_35,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_35) ).

cnf(i_0_91,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_91) ).

cnf(i_0_28,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_true(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_28) ).

cnf(i_0_23,plain,
    ( g_true(X1,X2)
    | ~ g_true_only(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_23) ).

cnf(i_0_31,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_31) ).

cnf(i_0_75,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_75) ).

cnf(i_0_59,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_59) ).

cnf(i_0_22,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_false(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_22) ).

cnf(i_0_25,plain,
    ( g_false(X1,X2)
    | ~ g_both(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_25) ).

cnf(i_0_26,plain,
    ( g_true(X1,X2)
    | ~ g_both(X1,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_26) ).

cnf(i_0_87,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_87) ).

cnf(i_0_39,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_both(esk6_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_39) ).

cnf(i_0_47,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_47) ).

cnf(i_0_43,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_43) ).

cnf(i_0_71,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_71) ).

cnf(i_0_83,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_83) ).

cnf(i_0_68,plain,
    ( epred2_0
    | g_false_only(X1,X2)
    | g_false_only(X1,esk12_1(X2))
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_68) ).

cnf(i_0_55,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_55) ).

cnf(i_0_69,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_true_only(X1,esk12_1(X2))
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_69) ).

cnf(i_0_63,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_63) ).

cnf(i_0_79,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_79) ).

cnf(i_0_7,negated_conjecture,
    ( g_true_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_7) ).

cnf(i_0_4,negated_conjecture,
    ( g_both(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_4) ).

cnf(i_0_6,negated_conjecture,
    ( g_true_only(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    file('/export/starexec/sandbox/tmp/enigma-theBenchmark.p-ys68r30a/input.p',i_0_6) ).

cnf(c_0_130,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    i_0_19 ).

cnf(c_0_131,plain,
    ( g_true_only(X1,X2)
    | g_both(X1,X2)
    | g_false_only(X1,X2) ),
    i_0_30 ).

cnf(c_0_132,negated_conjecture,
    ( ~ g_false_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    i_0_17 ).

cnf(c_0_133,negated_conjecture,
    ( ~ g_true_only(X1,X2)
    | ~ g_true_only(X1,esk2_1(X2)) ),
    i_0_13 ).

cnf(c_0_134,negated_conjecture,
    ( ~ g_true_only(X1,X2)
    | ~ g_both(X1,esk2_1(X2)) ),
    i_0_11 ).

cnf(c_0_135,negated_conjecture,
    ( g_false_only(X1,esk1_0)
    | ~ g_false_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_130,c_0_131]),c_0_132]) ).

cnf(c_0_136,plain,
    ( g_false_only(X1,esk2_1(X2))
    | ~ g_true_only(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_131]),c_0_134]) ).

cnf(c_0_137,plain,
    ( g_false_only(esk2_1(X1),esk1_0)
    | ~ g_true_only(esk2_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_135,c_0_136]) ).

cnf(c_0_138,negated_conjecture,
    ( ~ g_false_only(X1,X2)
    | ~ g_false_only(X1,esk2_1(X2)) ),
    i_0_10 ).

cnf(c_0_139,plain,
    ( g_false_only(esk2_1(X1),esk1_0)
    | g_false_only(esk2_1(X1),X1)
    | g_both(esk2_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_137,c_0_131]) ).

cnf(c_0_140,negated_conjecture,
    ( ~ g_false_only(X1,X2)
    | ~ g_both(X1,esk2_1(X2)) ),
    i_0_12 ).

cnf(c_0_141,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(X1)),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(X1)),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_139]),c_0_140]) ).

cnf(c_0_142,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(X1))),X1) ),
    inference(spm,[status(thm)],[c_0_141,c_0_136]) ).

cnf(c_0_143,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    i_0_16 ).

cnf(c_0_144,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    i_0_15 ).

cnf(c_0_145,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
    | g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
    | g_both(esk2_1(esk2_1(esk2_1(X1))),X1) ),
    inference(spm,[status(thm)],[c_0_142,c_0_131]) ).

cnf(c_0_146,negated_conjecture,
    ( g_false_only(X1,X1)
    | ~ g_false_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_131]),c_0_144]) ).

cnf(c_0_147,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
    inference(ef,[status(thm)],[c_0_145]) ).

cnf(c_0_148,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0))))
    | g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_147]) ).

cnf(c_0_149,plain,
    ( g_false_only(esk2_1(esk1_0),esk1_0)
    | g_both(esk2_1(esk1_0),esk1_0) ),
    inference(ef,[status(thm)],[c_0_139]) ).

cnf(c_0_150,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_148]) ).

cnf(c_0_151,negated_conjecture,
    ( ~ g_both(X1,X2)
    | ~ g_true_only(X1,esk2_1(X2)) ),
    i_0_14 ).

cnf(c_0_152,negated_conjecture,
    ( ~ g_both(X1,X2)
    | ~ g_false_only(X1,esk2_1(X2)) ),
    i_0_9 ).

cnf(c_0_153,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_145]),c_0_140]) ).

cnf(c_0_154,negated_conjecture,
    ( ~ g_true_only(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    i_0_18 ).

cnf(c_0_155,negated_conjecture,
    ( g_false_only(esk2_1(esk1_0),esk2_1(esk1_0))
    | g_both(esk2_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_149]) ).

cnf(c_0_156,negated_conjecture,
    ( ~ g_both(X1,X1)
    | ~ g_true_only(X1,esk1_0) ),
    i_0_20 ).

cnf(c_0_157,plain,
    ~ g_true_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_150,c_0_136]),c_0_151]) ).

cnf(c_0_158,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_51 ).

cnf(c_0_159,plain,
    ( g_both(X1,esk2_1(X2))
    | ~ g_both(X1,X2) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_131]),c_0_152]) ).

cnf(c_0_160,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_false_only(esk7_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_35 ).

cnf(c_0_161,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1) ),
    inference(spm,[status(thm)],[c_0_153,c_0_136]) ).

cnf(c_0_162,negated_conjecture,
    ( ~ g_both(esk2_1(X1),esk1_0)
    | ~ g_true_only(esk2_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_132,c_0_136]) ).

cnf(c_0_163,negated_conjecture,
    ( g_both(X1,X1)
    | ~ g_both(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_131]),c_0_132]) ).

cnf(c_0_164,negated_conjecture,
    g_both(esk2_1(esk1_0),esk1_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_155]),c_0_149]) ).

cnf(c_0_165,negated_conjecture,
    ( g_both(X1,esk1_0)
    | ~ g_both(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_156,c_0_131]),c_0_144]) ).

cnf(c_0_166,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0))
    | g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_157,c_0_131]) ).

cnf(c_0_167,plain,
    ( epred1_0
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(X2,X2)
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_158,c_0_159]) ).

cnf(c_0_168,plain,
    ( epred1_0
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(X2,X2)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_160,c_0_159]) ).

cnf(c_0_169,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0)
    | g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1) ),
    inference(spm,[status(thm)],[c_0_161,c_0_131]) ).

cnf(c_0_170,plain,
    ( g_false_only(esk2_1(X1),X1)
    | g_both(esk2_1(X1),X1)
    | ~ g_both(esk2_1(X1),esk1_0) ),
    inference(spm,[status(thm)],[c_0_162,c_0_131]) ).

cnf(c_0_171,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_91 ).

cnf(c_0_172,negated_conjecture,
    g_both(esk2_1(esk1_0),esk2_1(esk1_0)),
    inference(spm,[status(thm)],[c_0_163,c_0_164]) ).

cnf(c_0_173,negated_conjecture,
    ( g_both(esk2_1(X1),esk1_0)
    | ~ g_both(esk2_1(X1),X1) ),
    inference(spm,[status(thm)],[c_0_165,c_0_159]) ).

cnf(c_0_174,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_141,c_0_166]) ).

cnf(c_0_175,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_167,c_0_164]),c_0_164])]) ).

cnf(c_0_176,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_168,c_0_164]),c_0_164])]) ).

cnf(c_0_177,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
    inference(ef,[status(thm)],[c_0_169]) ).

cnf(c_0_178,negated_conjecture,
    ( ~ g_false_only(esk2_1(esk2_1(X1)),X1)
    | ~ g_both(esk2_1(esk2_1(X1)),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_170]),c_0_140]) ).

cnf(c_0_179,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_171,c_0_172]) ).

cnf(c_0_180,plain,
    ( g_both(esk2_1(esk2_1(X1)),esk1_0)
    | ~ g_both(esk2_1(esk2_1(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_173,c_0_159]) ).

cnf(c_0_181,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_166]),c_0_174]) ).

cnf(c_0_182,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0) ),
    inference(ef,[status(thm)],[c_0_175]) ).

cnf(c_0_183,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0)) ),
    inference(ef,[status(thm)],[c_0_176]) ).

cnf(c_0_184,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_true(X1,X2) ),
    i_0_28 ).

cnf(c_0_185,plain,
    ( g_true(X1,X2)
    | ~ g_true_only(X1,X2) ),
    i_0_23 ).

cnf(c_0_186,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_177]) ).

cnf(c_0_187,plain,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(X1))),X1) ),
    inference(spm,[status(thm)],[c_0_178,c_0_136]) ).

cnf(c_0_188,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_179,c_0_164]) ).

cnf(c_0_189,plain,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
    inference(spm,[status(thm)],[c_0_180,c_0_181]) ).

cnf(c_0_190,negated_conjecture,
    ~ g_false_only(esk2_1(esk2_1(esk2_1(esk1_0))),esk1_0),
    inference(spm,[status(thm)],[c_0_140,c_0_181]) ).

cnf(c_0_191,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_182]),c_0_132]) ).

cnf(c_0_192,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_183]),c_0_132]) ).

cnf(c_0_193,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_185]) ).

cnf(c_0_194,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_31 ).

cnf(c_0_195,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_186]) ).

cnf(c_0_196,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_75 ).

cnf(c_0_197,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_188]),c_0_189])]),c_0_190]) ).

cnf(c_0_198,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_59 ).

cnf(c_0_199,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_156,c_0_191]) ).

cnf(c_0_200,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_135,c_0_192]) ).

cnf(c_0_201,plain,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_false_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_191]) ).

cnf(c_0_202,plain,
    ( ~ g_true_only(X1,X2)
    | ~ g_false(X1,X2) ),
    i_0_22 ).

cnf(c_0_203,plain,
    ( g_false(X1,X2)
    | ~ g_both(X1,X2) ),
    i_0_25 ).

cnf(c_0_204,plain,
    ( epred1_0
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(X2,X2)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_194,c_0_159]) ).

cnf(c_0_205,plain,
    ( g_true(X1,X2)
    | ~ g_both(X1,X2) ),
    i_0_26 ).

cnf(c_0_206,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_195,c_0_136]) ).

cnf(c_0_207,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X2,X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_196,c_0_172]) ).

cnf(c_0_208,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_197]) ).

cnf(c_0_209,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_197]) ).

cnf(c_0_210,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_169]),c_0_140]) ).

cnf(c_0_211,plain,
    ( epred1_0
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(X2,X2)
    | g_both(esk6_1(X1),X1)
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_198,c_0_159]) ).

cnf(c_0_212,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_199,c_0_200]),c_0_201]) ).

cnf(c_0_213,plain,
    ( ~ g_both(X1,X2)
    | ~ g_true_only(X1,X2) ),
    inference(spm,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_214,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(X1,X1)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_204,c_0_164]),c_0_164])]) ).

cnf(c_0_215,plain,
    ( ~ g_false_only(X1,X2)
    | ~ g_both(X1,X2) ),
    inference(spm,[status(thm)],[c_0_184,c_0_205]) ).

cnf(c_0_216,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk1_0))))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_206,c_0_131]),c_0_180]) ).

cnf(c_0_217,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_87 ).

cnf(c_0_218,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_207,c_0_164]),c_0_208]),c_0_209]) ).

cnf(c_0_219,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),X1) ),
    inference(spm,[status(thm)],[c_0_210,c_0_136]) ).

cnf(c_0_220,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_211,c_0_164]),c_0_164])]),c_0_212]) ).

cnf(c_0_221,plain,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | ~ g_both(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_214]),c_0_215]) ).

cnf(c_0_222,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_216]) ).

cnf(c_0_223,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_217,c_0_172]) ).

cnf(c_0_224,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_218]),c_0_189])]),c_0_190]) ).

cnf(c_0_225,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),esk1_0)
    | g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),X1)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),X1) ),
    inference(spm,[status(thm)],[c_0_219,c_0_131]) ).

cnf(c_0_226,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_220]),c_0_132]) ).

cnf(c_0_227,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_both(esk6_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_39 ).

cnf(c_0_228,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_221,c_0_172]) ).

cnf(c_0_229,plain,
    ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_222,c_0_136]),c_0_151]) ).

cnf(c_0_230,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_223,c_0_164]) ).

cnf(c_0_231,negated_conjecture,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_224]) ).

cnf(c_0_232,negated_conjecture,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_224]) ).

cnf(c_0_233,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0) ),
    inference(ef,[status(thm)],[c_0_225]) ).

cnf(c_0_234,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(esk6_1(X2),esk6_1(X2))
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_false_only(esk6_1(X2),esk6_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_47 ).

cnf(c_0_235,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_both(esk6_1(X2),X2)
    | g_false_only(esk7_1(X2),X2)
    | g_both(esk5_1(X2),esk5_1(X2))
    | g_false_only(esk5_1(X2),esk5_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_43 ).

cnf(c_0_236,plain,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_true_only(esk5_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_226,c_0_189]) ).

cnf(c_0_237,plain,
    ( epred1_0
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | g_false_only(X2,X2)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_both(esk6_1(X1),X1)
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_227,c_0_159]) ).

cnf(c_0_238,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_228]),c_0_183]) ).

cnf(c_0_239,negated_conjecture,
    ( epred1_0
    | ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_144,c_0_212]) ).

cnf(c_0_240,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_229,c_0_131]) ).

cnf(c_0_241,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk10_2(X2,X3),X3)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_71 ).

cnf(c_0_242,plain,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_230]),c_0_189])]),c_0_190]),c_0_231]),c_0_232]) ).

cnf(c_0_243,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_146,c_0_233]) ).

cnf(c_0_244,plain,
    ( epred1_0
    | g_false_only(esk6_1(X1),esk6_1(X1))
    | g_false_only(X2,X2)
    | g_both(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk6_1(X1),esk6_1(X1))
    | g_true_only(esk7_1(X1),esk7_1(X1))
    | g_true_only(esk5_1(X1),X1)
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_234,c_0_159]) ).

cnf(c_0_245,plain,
    ( epred1_0
    | g_false_only(esk5_1(X1),esk5_1(X1))
    | g_false_only(esk7_1(X1),X1)
    | g_false_only(X2,X2)
    | g_both(esk5_1(X1),esk5_1(X1))
    | g_both(esk6_1(X1),X1)
    | g_true_only(X2,X2)
    | ~ g_both(esk2_1(X3),X1)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_235,c_0_159]) ).

cnf(c_0_246,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_156,c_0_236]) ).

cnf(c_0_247,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_130,c_0_236]) ).

cnf(c_0_248,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(X1,X1)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk6_1(esk1_0),esk1_0)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_237,c_0_164]),c_0_164])]) ).

cnf(c_0_249,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_238]),c_0_239]),c_0_132]) ).

cnf(c_0_250,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(X1))),esk1_0)
    | ~ g_both(esk2_1(esk2_1(esk2_1(X1))),X1) ),
    inference(spm,[status(thm)],[c_0_180,c_0_159]) ).

cnf(c_0_251,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_153,c_0_240]) ).

cnf(c_0_252,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_both(esk10_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_241,c_0_172]) ).

cnf(c_0_253,negated_conjecture,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_242]) ).

cnf(c_0_254,negated_conjecture,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_242]) ).

cnf(c_0_255,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_243]) ).

cnf(c_0_256,negated_conjecture,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_both(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_244,c_0_164]),c_0_164])]) ).

cnf(c_0_257,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | g_false_only(X1,X1)
    | g_true_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_245,c_0_164]),c_0_164])]),c_0_212]),c_0_246]),c_0_247]) ).

cnf(c_0_258,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(X1,X1)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(X1,X1)
    | ~ g_false_only(esk7_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_143,c_0_248]),c_0_249]),c_0_144]) ).

cnf(c_0_259,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),esk1_0)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),X1) ),
    inference(spm,[status(thm)],[c_0_250,c_0_159]) ).

cnf(c_0_260,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_240]),c_0_251]) ).

cnf(c_0_261,negated_conjecture,
    ( epred2_0
    | g_false_only(X1,esk1_0)
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_252,c_0_164]),c_0_253]),c_0_231]),c_0_254]),c_0_232]) ).

cnf(c_0_262,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_83 ).

cnf(c_0_263,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))) ),
    inference(spm,[status(thm)],[c_0_255,c_0_136]) ).

cnf(c_0_264,plain,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1)
    | ~ g_false_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_256]),c_0_215]) ).

cnf(c_0_265,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_false_only(X1,X1)
    | g_true_only(X1,X1) ),
    inference(spm,[status(thm)],[c_0_146,c_0_257]) ).

cnf(c_0_266,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(X2,X2)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(X1,X1)
    | g_true_only(X2,X2) ),
    inference(spm,[status(thm)],[c_0_258,c_0_257]) ).

cnf(c_0_267,plain,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk1_0),
    inference(spm,[status(thm)],[c_0_259,c_0_260]) ).

cnf(c_0_268,plain,
    ( epred2_0
    | g_false_only(X1,X2)
    | g_false_only(X1,esk12_1(X2))
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_68 ).

cnf(c_0_269,plain,
    ( epred2_0
    | g_both(esk10_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_261]),c_0_189])]),c_0_190]) ).

cnf(c_0_270,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_262,c_0_172]) ).

cnf(c_0_271,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_263,c_0_131]),c_0_180]) ).

cnf(c_0_272,plain,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_false_only(X2,X2)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1)
    | g_true_only(X2,X2) ),
    inference(spm,[status(thm)],[c_0_264,c_0_265]) ).

cnf(c_0_273,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_false_only(X1,X1)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_true_only(X1,X1) ),
    inference(ef,[status(thm)],[c_0_266]) ).

cnf(c_0_274,negated_conjecture,
    ( g_both(esk2_1(X1),X1)
    | ~ g_both(esk2_1(X1),esk2_1(X1)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_144,c_0_139]),c_0_140]) ).

cnf(c_0_275,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0)))))),
    inference(spm,[status(thm)],[c_0_163,c_0_267]) ).

cnf(c_0_276,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,esk12_1(X1))
    | g_false_only(X2,X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_268,c_0_172]) ).

cnf(c_0_277,negated_conjecture,
    ( epred2_0
    | ~ g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_134,c_0_269]) ).

cnf(c_0_278,negated_conjecture,
    ( epred2_0
    | ~ g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_140,c_0_269]) ).

cnf(c_0_279,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_270,c_0_164]) ).

cnf(c_0_280,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_271]) ).

cnf(c_0_281,plain,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_false_only(X1,X1)
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1) ),
    inference(ef,[status(thm)],[c_0_272]) ).

cnf(c_0_282,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0))
    | ~ g_both(esk2_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_273]),c_0_152]) ).

cnf(c_0_283,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))),
    inference(spm,[status(thm)],[c_0_274,c_0_275]) ).

cnf(c_0_284,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(X1,esk12_1(esk1_0))
    | g_false_only(X1,esk1_0)
    | g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_276,c_0_164]),c_0_277]),c_0_278]) ).

cnf(c_0_285,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_279]),c_0_189])]),c_0_190]) ).

cnf(c_0_286,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk1_0)))) ),
    inference(spm,[status(thm)],[c_0_280,c_0_136]) ).

cnf(c_0_287,plain,
    ( epred1_0
    | g_false_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk6_1(esk1_0),esk6_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0) ),
    inference(ef,[status(thm)],[c_0_281]) ).

cnf(c_0_288,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk5_1(esk1_0))
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_282,c_0_283]) ).

cnf(c_0_289,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk1_0)
    | g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_141,c_0_284]) ).

cnf(c_0_290,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_133,c_0_285]),c_0_277]),c_0_278]) ).

cnf(c_0_291,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_285]),c_0_277]),c_0_278]) ).

cnf(c_0_292,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk2_1(esk1_0))))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_286,c_0_131]),c_0_259]) ).

cnf(c_0_293,negated_conjecture,
    ( epred1_0
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_154,c_0_287]),c_0_132]) ).

cnf(c_0_294,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_135,c_0_288]) ).

cnf(c_0_295,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0)
    | ~ g_both(esk2_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_151,c_0_257]),c_0_152]) ).

cnf(c_0_296,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_178,c_0_284]),c_0_289]),c_0_290]),c_0_291]) ).

cnf(c_0_297,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(X1))),X1)
    | g_both(esk2_1(esk2_1(esk2_1(X1))),X1)
    | ~ g_both(esk2_1(esk2_1(esk2_1(X1))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_187,c_0_131]) ).

cnf(c_0_298,negated_conjecture,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk2_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_292]) ).

cnf(c_0_299,plain,
    ( epred1_0
    | g_true_only(X1,X1)
    | g_false_only(X1,X1)
    | g_true_only(esk5_1(X2),X2)
    | g_both(esk6_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_both(esk7_1(X2),esk7_1(X2))
    | ~ g_both(X3,X3)
    | ~ g_both(X3,X2) ),
    i_0_55 ).

cnf(c_0_300,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk2_1(esk1_0)))),
    inference(spm,[status(thm)],[c_0_163,c_0_189]) ).

cnf(c_0_301,plain,
    ( epred1_0
    | ~ g_false_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_193,c_0_293]) ).

cnf(c_0_302,negated_conjecture,
    ( epred1_0
    | g_false_only(esk5_1(esk1_0),esk1_0)
    | g_both(esk5_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_165,c_0_294]) ).

cnf(c_0_303,plain,
    ( epred1_0
    | ~ g_both(esk5_1(esk1_0),esk1_0)
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_213,c_0_293]) ).

cnf(c_0_304,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_295,c_0_283]) ).

cnf(c_0_305,negated_conjecture,
    ( epred2_0
    | g_false_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk2_1(esk2_1(esk12_1(esk1_0))))
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_146,c_0_296]) ).

cnf(c_0_306,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_true_only(X1,esk12_1(X2))
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X3)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_69 ).

cnf(c_0_307,negated_conjecture,
    ( ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),X1)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(X1)))),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_297]),c_0_140]) ).

cnf(c_0_308,plain,
    ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_298,c_0_136]),c_0_151]) ).

cnf(c_0_309,plain,
    ( epred1_0
    | g_false_only(X1,X1)
    | g_both(esk7_1(X2),esk7_1(X2))
    | g_both(esk6_1(X2),X2)
    | g_true_only(esk7_1(X2),esk7_1(X2))
    | g_true_only(esk5_1(X2),X2)
    | g_true_only(X1,X1)
    | ~ g_both(esk2_1(X3),X2)
    | ~ g_both(esk2_1(X3),X3) ),
    inference(spm,[status(thm)],[c_0_299,c_0_159]) ).

cnf(c_0_310,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk1_0))),esk2_1(esk2_1(esk1_0))),
    inference(spm,[status(thm)],[c_0_274,c_0_300]) ).

cnf(c_0_311,negated_conjecture,
    ( epred1_0
    | ~ g_both(esk6_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_301,c_0_302]),c_0_303]) ).

cnf(c_0_312,negated_conjecture,
    ( epred1_0
    | ~ g_both(esk7_1(esk1_0),esk7_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_144,c_0_304]) ).

cnf(c_0_313,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_false_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk2_1(esk12_1(esk1_0))) ),
    inference(spm,[status(thm)],[c_0_138,c_0_305]) ).

cnf(c_0_314,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,esk12_1(X1))
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_306,c_0_172]) ).

cnf(c_0_315,plain,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1) ),
    inference(spm,[status(thm)],[c_0_307,c_0_136]) ).

cnf(c_0_316,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk1_0))
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_308,c_0_131]) ).

cnf(c_0_317,plain,
    ( epred1_0
    | g_false_only(X1,X1)
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | g_true_only(X1,X1) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_309,c_0_189]),c_0_310])]),c_0_311]),c_0_312]) ).

cnf(c_0_318,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | ~ g_true_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk12_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_313,c_0_136]) ).

cnf(c_0_319,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(X1,esk12_1(esk1_0))
    | g_true_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_314,c_0_164]),c_0_277]),c_0_278]) ).

cnf(c_0_320,plain,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0) ),
    inference(spm,[status(thm)],[c_0_315,c_0_131]) ).

cnf(c_0_321,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X2)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk9_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_63 ).

cnf(c_0_322,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),esk1_0)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))),X1) ),
    inference(spm,[status(thm)],[c_0_259,c_0_159]) ).

cnf(c_0_323,negated_conjecture,
    ( g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0)
    | g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_210,c_0_316]) ).

cnf(c_0_324,plain,
    ( epred1_0
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0)
    | ~ g_both(X1,X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_317]),c_0_215]) ).

cnf(c_0_325,plain,
    ( epred2_0
    | g_true_only(X1,X2)
    | g_false_only(X1,X2)
    | g_true_only(esk9_2(X2,X3),X3)
    | g_true_only(esk10_2(X2,X3),X2)
    | g_both(esk11_2(X2,X3),X2)
    | g_false_only(esk10_2(X2,X3),X2)
    | g_false_only(esk11_2(X2,X3),X2)
    | ~ g_both(X4,X3)
    | ~ g_both(X4,X2) ),
    i_0_79 ).

cnf(c_0_326,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk2_1(esk2_1(esk12_1(esk1_0))),esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_318,c_0_319]),c_0_290]),c_0_291]) ).

cnf(c_0_327,negated_conjecture,
    ( ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),X1)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_320]),c_0_140]) ).

cnf(c_0_328,negated_conjecture,
    ( epred2_0
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_both(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_321,c_0_172]) ).

cnf(c_0_329,plain,
    ( g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),esk1_0)
    | ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1)))))),X1) ),
    inference(spm,[status(thm)],[c_0_322,c_0_159]) ).

cnf(c_0_330,negated_conjecture,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk2_1(esk1_0)),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_316]),c_0_323]) ).

cnf(c_0_331,negated_conjecture,
    ( epred1_0
    | g_true_only(esk7_1(esk1_0),esk7_1(esk1_0))
    | g_true_only(esk5_1(esk1_0),esk1_0) ),
    inference(spm,[status(thm)],[c_0_324,c_0_275]) ).

cnf(c_0_332,negated_conjecture,
    ( epred1_0
    | g_false_only(esk7_1(esk1_0),esk7_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_146,c_0_304]) ).

cnf(c_0_333,negated_conjecture,
    ( epred2_0
    | g_false_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_false_only(X2,X1)
    | g_both(esk11_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(esk9_2(X1,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk10_2(X1,esk2_1(esk1_0)),X1)
    | g_true_only(X2,X1)
    | ~ g_both(esk2_1(esk1_0),X1) ),
    inference(spm,[status(thm)],[c_0_325,c_0_172]) ).

cnf(c_0_334,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_326]),c_0_296]) ).

cnf(c_0_335,plain,
    ( ~ g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),esk1_0)
    | ~ g_true_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(X1))))))),X1) ),
    inference(spm,[status(thm)],[c_0_327,c_0_136]) ).

cnf(c_0_336,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(X1,esk1_0) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_328,c_0_164]),c_0_277]),c_0_278]) ).

cnf(c_0_337,plain,
    g_both(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0),
    inference(spm,[status(thm)],[c_0_329,c_0_330]) ).

cnf(c_0_338,negated_conjecture,
    ~ g_false_only(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk2_1(esk1_0))))))),esk1_0),
    inference(spm,[status(thm)],[c_0_140,c_0_330]) ).

cnf(c_0_339,negated_conjecture,
    ( g_true_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    i_0_7 ).

cnf(c_0_340,plain,
    ( epred1_0
    | g_true_only(esk5_1(esk1_0),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_331]),c_0_332]) ).

cnf(c_0_341,negated_conjecture,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_false_only(X1,esk1_0)
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0))
    | g_true_only(esk10_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(X1,esk1_0) ),
    inference(spm,[status(thm)],[c_0_333,c_0_164]) ).

cnf(c_0_342,negated_conjecture,
    ( epred2_0
    | ~ g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_152,c_0_334]) ).

cnf(c_0_343,negated_conjecture,
    ( epred2_0
    | ~ g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_138,c_0_334]) ).

cnf(c_0_344,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_335,c_0_336]),c_0_337])]),c_0_338]) ).

cnf(c_0_345,plain,
    ( g_false_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),esk3_0)
    | ~ epred2_0
    | ~ epred1_0
    | ~ g_false_only(esk4_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_339]),c_0_215]) ).

cnf(c_0_346,negated_conjecture,
    ( epred1_0
    | ~ g_false_only(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_130,c_0_340]) ).

cnf(c_0_347,negated_conjecture,
    ( epred1_0
    | ~ g_both(esk5_1(esk1_0),esk5_1(esk1_0)) ),
    inference(spm,[status(thm)],[c_0_156,c_0_340]) ).

cnf(c_0_348,plain,
    ( epred2_0
    | g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk2_1(esk1_0)) ),
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_187,c_0_341]),c_0_189])]),c_0_190]),c_0_277]),c_0_342]),c_0_278]),c_0_343]) ).

cnf(c_0_349,plain,
    ( epred2_0
    | g_false_only(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | g_both(esk11_2(esk1_0,esk2_1(esk1_0)),esk1_0)
    | ~ g_false_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_344]),c_0_215]) ).

cnf(c_0_350,plain,
    ( g_false_only(esk4_1(esk2_1(X1)),esk3_0)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | ~ epred2_0
    | ~ epred1_0
    | ~ g_true_only(esk4_1(esk2_1(X1)),X1) ),
    inference(spm,[status(thm)],[c_0_345,c_0_136]) ).

cnf(c_0_351,negated_conjecture,
    ( g_both(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    i_0_4 ).

cnf(c_0_352,negated_conjecture,
    epred1_0,
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_346,c_0_288]),c_0_347]) ).

cnf(c_0_353,negated_conjecture,
    ( epred2_0
    | ~ g_true_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_133,c_0_348]) ).

cnf(c_0_354,negated_conjecture,
    ( epred2_0
    | ~ g_both(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(spm,[status(thm)],[c_0_151,c_0_348]) ).

cnf(c_0_355,plain,
    ( epred2_0
    | ~ g_false_only(esk9_2(esk1_0,esk2_1(esk1_0)),esk1_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_343,c_0_349]),c_0_342]) ).

cnf(c_0_356,plain,
    ( g_false_only(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_both(esk4_1(esk2_1(X1)),X1)
    | ~ epred2_0
    | ~ epred1_0 ),
    inference(spm,[status(thm)],[c_0_350,c_0_131]) ).

cnf(c_0_357,negated_conjecture,
    ( g_true_only(esk4_1(X1),X1)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),esk3_0)
    | ~ epred1_0
    | ~ epred2_0 ),
    i_0_6 ).

cnf(c_0_358,negated_conjecture,
    ( g_false_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_351,c_0_352])]) ).

cnf(c_0_359,plain,
    epred2_0,
    inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_353,c_0_131]),c_0_354]),c_0_355]) ).

cnf(c_0_360,plain,
    ( g_false_only(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_both(esk4_1(esk2_1(X1)),X1)
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_356,c_0_352])]) ).

cnf(c_0_361,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_true_only(esk4_1(X1),X1)
    | ~ epred2_0 ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_357,c_0_352])]) ).

cnf(c_0_362,negated_conjecture,
    ( g_false_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),esk3_0)
    | g_both(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_358,c_0_359])]) ).

cnf(c_0_363,plain,
    ( g_false_only(esk4_1(esk2_1(X1)),esk3_0)
    | g_false_only(esk4_1(esk2_1(X1)),X1)
    | g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_both(esk4_1(esk2_1(X1)),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_360,c_0_359])]) ).

cnf(c_0_364,negated_conjecture,
    ( g_false_only(esk4_1(X1),esk3_0)
    | g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),esk3_0)
    | g_true_only(esk4_1(X1),X1) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_361,c_0_359])]) ).

cnf(c_0_365,plain,
    ( g_false_only(esk4_1(X1),X1)
    | g_both(esk4_1(X1),X1)
    | ~ g_false_only(esk4_1(X1),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_362]),c_0_215]) ).

cnf(c_0_366,plain,
    ( g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0)
    | g_both(esk4_1(esk2_1(esk3_0)),esk3_0) ),
    inference(ef,[status(thm)],[c_0_363]) ).

cnf(c_0_367,plain,
    ( g_false_only(esk4_1(X1),X1)
    | g_true_only(esk4_1(X1),X1)
    | ~ g_both(esk4_1(X1),esk3_0) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_364]),c_0_215]) ).

cnf(c_0_368,plain,
    ( g_false_only(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0))
    | g_both(esk4_1(esk2_1(esk3_0)),esk2_1(esk3_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_365,c_0_366]),c_0_159]) ).

cnf(c_0_369,plain,
    ( ~ g_both(esk4_1(X1),esk3_0)
    | ~ g_both(esk4_1(X1),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_213,c_0_367]),c_0_215]) ).

cnf(c_0_370,negated_conjecture,
    ~ g_both(esk4_1(esk2_1(esk3_0)),esk3_0),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_152,c_0_368]),c_0_369]) ).

cnf(c_0_371,negated_conjecture,
    ( g_both(esk4_1(esk2_1(X1)),esk3_0)
    | g_true_only(esk4_1(esk2_1(X1)),esk3_0)
    | ~ g_false_only(esk4_1(esk2_1(X1)),X1) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_138,c_0_362]),c_0_140]) ).

cnf(c_0_372,plain,
    g_false_only(esk4_1(esk2_1(esk3_0)),esk3_0),
    inference(sr,[status(thm)],[c_0_366,c_0_370]) ).

cnf(c_0_373,negated_conjecture,
    g_true_only(esk4_1(esk2_1(esk3_0)),esk3_0),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_371,c_0_372]),c_0_370]) ).

cnf(c_0_374,plain,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_193,c_0_373]),c_0_372])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYO605+1 : TPTP v8.1.0. Released v7.0.0.
% 0.07/0.12  % Command  : enigmatic-eprover.py %s %d 1
% 0.12/0.33  % Computer : n005.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 : Fri Jul  8 21:30:09 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  # ENIGMATIC: Selected complete mode:
% 41.66/6.60  # ENIGMATIC: Solved by Enigma+tptp-cade20-model03-h2e15+lgb-t150-d45-l8000-e0.15+coop-mzr02:
% 41.66/6.60  # ENIGMA: LightGBM model '/export/starexec/sandbox/solver/bin/data/Enigma/tptp-cade20-model03-h2e15/lgb-t150-d45-l8000-e0.15/model.lgb' loaded. (hash_base: 32768; conj_feats: 48; version: 991; iters: 150)
% 41.66/6.60  # Preprocessing time       : 1.137 s
% 41.66/6.60  
% 41.66/6.60  # Proof found!
% 41.66/6.60  # SZS status Theorem
% 41.66/6.60  # SZS output start CNFRefutation
% See solution above
% 41.66/6.60  # Training examples: 0 positive, 0 negative
% 41.66/6.60  
% 41.66/6.60  # -------------------------------------------------
% 41.66/6.60  # User time                : 3.868 s
% 41.66/6.60  # System time              : 0.186 s
% 41.66/6.60  # Total time               : 4.054 s
% 41.66/6.60  # ...preprocessing         : 1.137 s
% 41.66/6.60  # ...main loop             : 2.917 s
% 41.66/6.60  # Maximum resident set size: 177996 pages
% 41.66/6.60  
%------------------------------------------------------------------------------