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CSE_E---1.7.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SYN845-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : 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  : 300s
% DateTime : Tue May  5 05:45:28 PM UTC 2026

% Result   : Unsatisfiable 1.78s 1.96s
% Output   : CNFRefutation 1.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :   39
% Syntax   : Number of clauses     :  141 (  28 unt;  14 nHn;  49 RR)
%            Number of literals    :  977 (   0 equ; 829 neg)
%            Maximal clause size   :   19 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   38 (  37 usr;   2 prp; 0-15 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   : 1294 ( 355 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
    ( ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(clause1,negated_conjecture,
    ssNder1_0,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

cnf(clause3,negated_conjecture,
    ( ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

cnf(clause10,negated_conjecture,
    ( ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

cnf(clause18,negated_conjecture,
    ( ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(clause31,negated_conjecture,
    ( ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

cnf(clause49,negated_conjecture,
    ( ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

cnf(clause73,negated_conjecture,
    ( ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(clause100,negated_conjecture,
    ( ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause100) ).

cnf(clause127,negated_conjecture,
    ( ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

cnf(clause155,negated_conjecture,
    ( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause155) ).

cnf(clause185,negated_conjecture,
    ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause185) ).

cnf(clause217,negated_conjecture,
    ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause217) ).

cnf(clause347,negated_conjecture,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause347) ).

cnf(clause258,negated_conjecture,
    ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause258) ).

cnf(clause344,negated_conjecture,
    ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause344) ).

cnf(clause254,negated_conjecture,
    ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause254) ).

cnf(clause272,negated_conjecture,
    ( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause272) ).

cnf(clause208,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause208) ).

cnf(clause141,negated_conjecture,
    ( ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause141) ).

cnf(clause153,negated_conjecture,
    ( ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

cnf(clause126,negated_conjecture,
    ( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

cnf(clause160,negated_conjecture,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause160) ).

cnf(clause218,negated_conjecture,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc22)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause218) ).

cnf(clause149,negated_conjecture,
    ( ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

cnf(clause119,negated_conjecture,
    ( ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause119) ).

cnf(clause115,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(clause74,negated_conjecture,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

cnf(clause77,negated_conjecture,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc25)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

cnf(clause32,negated_conjecture,
    ( ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(clause247,negated_conjecture,
    ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause247) ).

cnf(clause59,negated_conjecture,
    ( ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc27)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(clause22,negated_conjecture,
    ( ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc30)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

cnf(clause280,negated_conjecture,
    ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause280) ).

cnf(clause325,negated_conjecture,
    ( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause325) ).

cnf(clause422,negated_conjecture,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause422) ).

cnf(clause329,negated_conjecture,
    ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause329) ).

cnf(clause323,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause323) ).

cnf(clause282,negated_conjecture,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause282) ).

cnf(c_0_39,negated_conjecture,
    ( ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause2 ).

cnf(c_0_40,negated_conjecture,
    ssNder1_0,
    clause1 ).

cnf(c_0_41,negated_conjecture,
    ( ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause3 ).

cnf(c_0_42,negated_conjecture,
    ssNder1_1r1(X1),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_39,c_0_40])]) ).

cnf(c_0_43,negated_conjecture,
    ( ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause10 ).

cnf(c_0_44,negated_conjecture,
    ssNder1_2r1r1(X1,X2),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_41,c_0_40]),c_0_42])]) ).

cnf(c_0_45,negated_conjecture,
    ( ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause18 ).

cnf(c_0_46,negated_conjecture,
    ssNder1_3r1r1r1(X1,X2,X3),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_43,c_0_40]),c_0_42]),c_0_44])]) ).

cnf(c_0_47,negated_conjecture,
    ( ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause31 ).

cnf(c_0_48,negated_conjecture,
    ssNder1_4r1r1r1r1(X1,X2,X3,X4),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_45,c_0_40]),c_0_42]),c_0_44]),c_0_46])]) ).

cnf(c_0_49,negated_conjecture,
    ( ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause49 ).

cnf(c_0_50,negated_conjecture,
    ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_47,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48])]) ).

cnf(c_0_51,negated_conjecture,
    ( ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause73 ).

cnf(c_0_52,negated_conjecture,
    ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_49,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50])]) ).

cnf(c_0_53,negated_conjecture,
    ( ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause100 ).

cnf(c_0_54,negated_conjecture,
    ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52])]) ).

cnf(c_0_55,negated_conjecture,
    ( ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause127 ).

cnf(c_0_56,negated_conjecture,
    ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_53,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54])]) ).

cnf(c_0_57,negated_conjecture,
    ( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause155 ).

cnf(c_0_58,negated_conjecture,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56])]) ).

cnf(c_0_59,negated_conjecture,
    ( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause185 ).

cnf(c_0_60,negated_conjecture,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58])]) ).

cnf(c_0_61,negated_conjecture,
    ( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause217 ).

cnf(c_0_62,negated_conjecture,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60])]) ).

cnf(c_0_63,negated_conjecture,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause347 ).

cnf(c_0_64,negated_conjecture,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_61,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62])]) ).

cnf(c_0_65,negated_conjecture,
    ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause258 ).

cnf(c_0_66,negated_conjecture,
    ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause344 ).

cnf(c_0_67,negated_conjecture,
    ( ~ ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_68,negated_conjecture,
    ( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_65,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_69,negated_conjecture,
    ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause254 ).

cnf(c_0_70,negated_conjecture,
    ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_71,negated_conjecture,
    ( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause272 ).

cnf(c_0_72,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause208 ).

cnf(c_0_73,negated_conjecture,
    ( ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause141 ).

cnf(c_0_74,negated_conjecture,
    ( ~ ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_67,c_0_68]) ).

cnf(c_0_75,negated_conjecture,
    ( ssPv18_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_69,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_76,negated_conjecture,
    ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_70,c_0_68]) ).

cnf(c_0_77,negated_conjecture,
    ( ssPv12_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_71,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_78,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56])]) ).

cnf(c_0_79,negated_conjecture,
    ( ssPv18_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_73,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56])]) ).

cnf(c_0_80,negated_conjecture,
    ( ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause153 ).

cnf(c_0_81,negated_conjecture,
    ( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause126 ).

cnf(c_0_82,negated_conjecture,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause160 ).

cnf(c_0_83,negated_conjecture,
    ( ~ ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_74,c_0_75]) ).

cnf(c_0_84,negated_conjecture,
    ( ssPv9_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_76,c_0_77]) ).

cnf(c_0_85,negated_conjecture,
    ( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc22)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause218 ).

cnf(c_0_86,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_78,c_0_79]) ).

cnf(c_0_87,negated_conjecture,
    ( ssPv13_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_80,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56])]) ).

cnf(c_0_88,negated_conjecture,
    ( ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause149 ).

cnf(c_0_89,negated_conjecture,
    ( ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause119 ).

cnf(c_0_90,negated_conjecture,
    ( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_81,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54])]) ).

cnf(c_0_91,negated_conjecture,
    ( ssPv14_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54])]) ).

cnf(c_0_92,negated_conjecture,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_83,c_0_84]) ).

cnf(c_0_93,negated_conjecture,
    ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc22),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_85,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62])]) ).

cnf(c_0_94,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_86,c_0_87]) ).

cnf(c_0_95,negated_conjecture,
    ( ssPv15_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_88,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56])]) ).

cnf(c_0_96,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause115 ).

cnf(c_0_97,negated_conjecture,
    ( ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_89,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54])]) ).

cnf(c_0_98,negated_conjecture,
    ( ssPv17_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
    inference(spm,[status(thm)],[c_0_90,c_0_91]) ).

cnf(c_0_99,negated_conjecture,
    ( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_92,c_0_93]) ).

cnf(c_0_100,negated_conjecture,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_94,c_0_95]) ).

cnf(c_0_101,negated_conjecture,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause74 ).

cnf(c_0_102,negated_conjecture,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc25)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause77 ).

cnf(c_0_103,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_96,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54])]) ).

cnf(c_0_104,negated_conjecture,
    ( ssPv18_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ssPv17_4r1r1r1r1(X1,X2,X3,X4) ),
    inference(spm,[status(thm)],[c_0_97,c_0_98]) ).

cnf(c_0_105,negated_conjecture,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_99,c_0_100]) ).

cnf(c_0_106,negated_conjecture,
    ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_101,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52])]) ).

cnf(c_0_107,negated_conjecture,
    ( ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause32 ).

cnf(c_0_108,negated_conjecture,
    ( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause247 ).

cnf(c_0_109,negated_conjecture,
    ( ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc27)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause59 ).

cnf(c_0_110,negated_conjecture,
    ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc25),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_102,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52])]) ).

cnf(c_0_111,negated_conjecture,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_103,c_0_104]) ).

cnf(c_0_112,negated_conjecture,
    ( ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_105,c_0_106]) ).

cnf(c_0_113,negated_conjecture,
    ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_107,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48])]) ).

cnf(c_0_114,negated_conjecture,
    ( ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc30)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause22 ).

cnf(c_0_115,negated_conjecture,
    ( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause280 ).

cnf(c_0_116,negated_conjecture,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64])]) ).

cnf(c_0_117,negated_conjecture,
    ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc27),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_109,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50])]) ).

cnf(c_0_118,negated_conjecture,
    ( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_110,c_0_111]) ).

cnf(c_0_119,negated_conjecture,
    ( ~ ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
    inference(spm,[status(thm)],[c_0_112,c_0_113]) ).

cnf(c_0_120,negated_conjecture,
    ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc30),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_114,c_0_40]),c_0_42]),c_0_44]),c_0_46])]) ).

cnf(c_0_121,negated_conjecture,
    ( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause325 ).

cnf(c_0_122,negated_conjecture,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_115,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116])]) ).

cnf(c_0_123,negated_conjecture,
    ( ssPv17_4r1r1r1r1(X1,X2,X3,X4)
    | ssPv18_3r1r1r1(X1,X2,X3) ),
    inference(spm,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_124,negated_conjecture,
    ~ ssPv18_3r1r1r1(X1,X2,X3),
    inference(spm,[status(thm)],[c_0_119,c_0_120]) ).

cnf(c_0_125,negated_conjecture,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause422 ).

cnf(c_0_126,negated_conjecture,
    ( ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv17_4r1r1r1r1(X1,X2,X3,X4) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_121,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116]),c_0_122])]) ).

cnf(c_0_127,negated_conjecture,
    ssPv17_4r1r1r1r1(X1,X2,X3,X4),
    inference(sr,[status(thm)],[c_0_123,c_0_124]) ).

cnf(c_0_128,negated_conjecture,
    ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_125,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116]),c_0_122])]) ).

cnf(c_0_129,negated_conjecture,
    ssPv17_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_126,c_0_127])]) ).

cnf(c_0_130,negated_conjecture,
    ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause329 ).

cnf(c_0_131,negated_conjecture,
    ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_128,c_0_129])]) ).

cnf(c_0_132,negated_conjecture,
    ( ssPv15_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_130,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116]),c_0_122])]) ).

cnf(c_0_133,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause323 ).

cnf(c_0_134,negated_conjecture,
    ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
    | ~ ssPv15_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6) ),
    inference(spm,[status(thm)],[c_0_131,c_0_132]) ).

cnf(c_0_135,negated_conjecture,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
    | ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
    | ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
    | ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
    | ~ ssNder1_3r1r1r1(X1,X2,X3)
    | ~ ssNder1_2r1r1(X1,X2)
    | ~ ssNder1_1r1(X1)
    | ~ ssNder1_0 ),
    clause282 ).

cnf(c_0_136,negated_conjecture,
    ( ssPv18_3r1r1r1(X1,X2,X3)
    | ~ ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_133,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116]),c_0_122])]) ).

cnf(c_0_137,negated_conjecture,
    ( ssPv18_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28,X6,X7,X8,X9,X10,X11,X12,X13,X14)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28,X6,X7,X8,X9,X10,X11,X12,X13,X14) ),
    inference(spm,[status(thm)],[c_0_134,c_0_113]) ).

cnf(c_0_138,negated_conjecture,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_135,c_0_40]),c_0_42]),c_0_44]),c_0_46]),c_0_48]),c_0_50]),c_0_52]),c_0_54]),c_0_56]),c_0_58]),c_0_60]),c_0_62]),c_0_64]),c_0_116])]) ).

cnf(c_0_139,negated_conjecture,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,skc28,X6,X7,X8,X9,X10,X11,X12,X13,X14),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_136,c_0_137]),c_0_124]) ).

cnf(c_0_140,negated_conjecture,
    $false,
    inference(spm,[status(thm)],[c_0_138,c_0_139]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SYN845-1 : TPTP v9.2.1. Released v2.5.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n005.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 08:48:01 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.78/1.96  % Version  : CSE_E---1.7
% 1.78/1.96  % Problem  : theBenchmark.p
% 1.78/1.96  % SZS status Unsatisfiable for theBenchmark.p
% 1.78/1.96  % SZS output start CNFRefutation
% See solution above
% 1.78/1.96  % Total time : 1.532s
%------------------------------------------------------------------------------