TSTP Solution File: SYN879-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN879-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n011.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 12:05:44 EDT 2022

% Result   : Unsatisfiable 0.46s 0.65s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   33
%            Number of leaves      :   38
% Syntax   : Number of clauses     :   93 (  32 unt;  25 nHn;  32 RR)
%            Number of literals    :  602 (   0 equ; 488 neg)
%            Maximal clause size   :   23 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   37 (  36 usr;   2 prp; 0-19 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   : 1016 ( 383 sgn)

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

cnf(clause2,negated_conjecture,
    ( ~ ssNder1_0
    | ssNder1_1r1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

cnf(3,plain,
    ssNder1_1r1(X),
    inference('REWRITE',[status(thm)],[clause2,clause1]) ).

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

cnf(5,plain,
    ssNder1_2r1r1(X,Y),
    inference('REWRITE',[status(thm)],[clause3,clause1,3]) ).

cnf(clause4,negated_conjecture,
    ( ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_3r1r1r1(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

cnf(7,plain,
    ssNder1_3r1r1r1(X,Y,Z),
    inference('REWRITE',[status(thm)],[clause4,clause1,3,5]) ).

cnf(clause5,negated_conjecture,
    ( ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_4r1r1r1r1(X,Y,Z,U) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

cnf(9,plain,
    ssNder1_4r1r1r1r1(X,Y,Z,U),
    inference('REWRITE',[status(thm)],[clause5,clause1,3,5,7]) ).

cnf(clause7,negated_conjecture,
    ( ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

cnf(13,plain,
    ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31),
    inference('REWRITE',[status(thm)],[clause7,clause1,3,5,7]) ).

cnf(clause8,negated_conjecture,
    ( ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_5r1r1r1r1r1(X,Y,Z,U,V) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

cnf(15,plain,
    ssNder1_5r1r1r1r1r1(X,Y,Z,U,V),
    inference('REWRITE',[status(thm)],[clause8,clause1,3,5,7,9]) ).

cnf(clause10,negated_conjecture,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

cnf(19,plain,
    ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29),
    inference('REWRITE',[status(thm)],[clause10,clause1,3,5,7,9]) ).

cnf(clause11,negated_conjecture,
    ( ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

cnf(21,plain,
    ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W),
    inference('REWRITE',[status(thm)],[clause11,clause1,3,5,7,9,15]) ).

cnf(clause13,negated_conjecture,
    ( ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc27)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

cnf(25,plain,
    ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc27),
    inference('REWRITE',[status(thm)],[clause13,clause1,3,5,7,9,15]) ).

cnf(clause14,negated_conjecture,
    ( ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

cnf(27,plain,
    ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1),
    inference('REWRITE',[status(thm)],[clause14,clause1,3,5,7,9,15,21]) ).

cnf(clause16,negated_conjecture,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc25)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

cnf(31,plain,
    ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc25),
    inference('REWRITE',[status(thm)],[clause16,clause1,3,5,7,9,15,21]) ).

cnf(clause17,negated_conjecture,
    ( ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

cnf(33,plain,
    ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1),
    inference('REWRITE',[status(thm)],[clause17,clause1,3,5,7,9,15,21,27]) ).

cnf(clause18,negated_conjecture,
    ( ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

cnf(35,plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1),
    inference('REWRITE',[status(thm)],[clause18,clause1,3,5,7,9,15,21,27,33]) ).

cnf(clause19,negated_conjecture,
    ( ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

cnf(37,plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
    inference('REWRITE',[status(thm)],[clause19,clause1,3,5,7,9,15,21,27,33,35]) ).

cnf(clause21,negated_conjecture,
    ( ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

cnf(41,plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1),
    inference('REWRITE',[status(thm)],[clause21,clause1,3,5,7,9,15,21,27,33,35,37]) ).

cnf(clause22,negated_conjecture,
    ( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

cnf(43,plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1),
    inference('REWRITE',[status(thm)],[clause22,clause1,3,5,7,9,15,21,27,33,35,37,41]) ).

cnf(clause23,negated_conjecture,
    ( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

cnf(45,plain,
    ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22),
    inference('REWRITE',[status(thm)],[clause23,clause1,3,5,7,9,15,21,27,33,35,37,41]) ).

cnf(clause25,negated_conjecture,
    ( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

cnf(49,plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
    inference('REWRITE',[status(thm)],[clause25,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).

cnf(clause26,negated_conjecture,
    ( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(51,plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20),
    inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).

cnf(clause27,negated_conjecture,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

cnf(53,plain,
    ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
    inference('REWRITE',[status(thm)],[clause27,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).

cnf(clause28,negated_conjecture,
    ( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

cnf(55,plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
    inference('REWRITE',[status(thm)],[clause28,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).

cnf(clause30,negated_conjecture,
    ( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(59,plain,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18),
    inference('REWRITE',[status(thm)],[clause30,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).

cnf(clause33,negated_conjecture,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv19_2r1r1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

cnf(65,plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv19_2r1r1(X,Y) ),
    inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).

cnf(clause34,negated_conjecture,
    ( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssPv20_1r1(X)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

cnf(67,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssPv20_1r1(X)
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    inference('REWRITE',[status(thm)],[clause34,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).

cnf(clause35,negated_conjecture,
    ( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(69,plain,
    ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
    inference('REWRITE',[status(thm)],[clause35,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).

cnf(clause36,negated_conjecture,
    ( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(71,plain,
    ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16),
    inference('REWRITE',[status(thm)],[clause36,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).

cnf(clause38,negated_conjecture,
    ( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

cnf(75,plain,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
    inference('REWRITE',[status(thm)],[clause38,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69]) ).

cnf(clause41,negated_conjecture,
    ( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv20_1r1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

cnf(81,plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause41,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).

cnf(clause42,negated_conjecture,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssPv19_2r1r1(X,Y)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

cnf(83,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssPv19_2r1r1(X,Y) ),
    inference('REWRITE',[status(thm)],[clause42,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).

cnf(clause44,negated_conjecture,
    ( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(87,plain,
    ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
    inference('REWRITE',[status(thm)],[clause44,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75]) ).

cnf(clause45,negated_conjecture,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

cnf(89,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
    inference('REWRITE',[status(thm)],[clause45,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).

cnf(clause46,negated_conjecture,
    ( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv19_2r1r1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

cnf(91,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ssPv19_2r1r1(X,Y) ),
    inference('REWRITE',[status(thm)],[clause46,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69]) ).

cnf(clause47,negated_conjecture,
    ( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

cnf(93,plain,
    ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2),
    inference('REWRITE',[status(thm)],[clause47,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75,87]) ).

cnf(clause57,negated_conjecture,
    ( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

cnf(113,plain,
    ( ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    inference('REWRITE',[status(thm)],[clause57,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75,87]) ).

cnf(clause59,negated_conjecture,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause59) ).

cnf(117,plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[clause59,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75,87]) ).

cnf(clause63,negated_conjecture,
    ( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(125,plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    inference('REWRITE',[status(thm)],[clause63,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75,87,93]) ).

cnf(clause73,negated_conjecture,
    ( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

cnf(145,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause73,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,69,75,87,93]) ).

cnf(156,plain,
    ( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
    inference('HYPERRESOLVE',[status(thm)],[89,51,59]) ).

cnf(159,plain,
    ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20,Y2,skc16,Z2,U2,V2)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20,Y2,skc16,Z2) ),
    inference('HYPERRESOLVE',[status(thm)],[145,71,51]) ).

cnf(160,plain,
    ( ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv20_1r1(X) ),
    inference('HYPERRESOLVE',[status(thm)],[81,156,59]) ).

cnf(161,plain,
    ( ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ssPv20_1r1(X) ),
    inference('HYPERRESOLVE',[status(thm)],[53,160]) ).

cnf(164,plain,
    ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22,skc20,X2,skc16,Y2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    inference('HYPERRESOLVE',[status(thm)],[125,159,45]) ).

cnf(166,plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22,skc20,X2,skc16,Y2,Z2) ),
    inference('HYPERRESOLVE',[status(thm)],[117,164,45]) ).

cnf(167,plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    inference('HYPERRESOLVE',[status(thm)],[113,166,71]) ).

cnf(168,plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[65,167,45]) ).

cnf(169,plain,
    ( ssPv18_3r1r1r1(X,Y,Z)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[31,168]) ).

cnf(170,plain,
    ( ssPv18_3r1r1r1(X,Y,Z)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[19,169]) ).

cnf(171,plain,
    ( ssPv18_3r1r1r1(X,Y,Z)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[13,170]) ).

cnf(172,plain,
    ssPv19_2r1r1(X,Y),
    inference('HYPERRESOLVE',[status(thm)],[91,171,71,45]) ).

cnf(173,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv20_1r1(X)
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    inference('REWRITE',[status(thm)],[67,172]) ).

cnf(174,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
    inference('REWRITE',[status(thm)],[83,172]) ).

cnf(176,plain,
    ~ ssPv20_1r1(X),
    inference('UR-RESOLVE',[status(thm)],[173,51,25]) ).

cnf(180,plain,
    ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
    inference('REWRITE',[status(thm)],[161,176]) ).

cnf(182,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('REWRITE',[status(thm)],[174,180]) ).

cnf(183,plain,
    $false,
    inference('HYPERRESOLVE',[status(thm)],[182,51,59]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SYN879-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n011.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Mon Jul 11 14:01:27 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.45  #<PACKAGE "SNARK-USER">
% 0.18/0.45  * 
% 0.18/0.45  SNARK-TPTP-OPTIONS
% 0.18/0.45  * 
% 0.18/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46   (USE-FACTORING :POS)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46  * 
% 0.18/0.46  "."
% 0.18/0.46  * 
% 0.18/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:01:27
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-07-11T14:01:27
% 0.46/0.65  
% 0.46/0.65  
% 0.46/0.65  #||
% 0.46/0.65  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.65  % SZS output start Refutation
% See solution above
% 0.46/0.67  ||#
% 0.46/0.67  
% 0.46/0.67  ; Summary of computation:
% 0.46/0.67  ;       205 formulas have been input or derived (from 93 formulas).
% 0.46/0.67  ;       183 (89%) were retained.  Of these,
% 0.46/0.67  ;          106 (58%) were simplified or subsumed later,
% 0.46/0.67  ;           77 (42%) are still being kept.
% 0.46/0.67  ; 
% 0.46/0.67  ; Run time in seconds excluding printing time:
% 0.46/0.67  ;     0.124  65%   Read assertion file          (1 call)
% 0.46/0.68  ;     0.017   9%   Assert                       (76 calls)
% 0.46/0.68  ;     0.009   5%   Process new row              (127 calls)
% 0.46/0.68  ;     0.002   1%   Resolution                   (184 calls)
% 0.46/0.68  ;     0.001   1%   Paramodulation               (92 calls)
% 0.46/0.68  ;     0.000   0%   Factoring                    (15 calls)
% 0.46/0.68  ;     0.004   2%   Condensing                   (70 calls)
% 0.46/0.68  ;     0.001   1%   Forward subsumption          (70 calls)
% 0.46/0.68  ;     0.000   0%   Backward subsumption         (68 calls)
% 0.46/0.68  ;     0.000   0%   Clause clause subsumption    (7 calls)
% 0.46/0.68  ;     0.012   6%   Forward simplification       (119 calls)
% 0.46/0.68  ;     0.001   1%   Backward simplification      (108 calls)
% 0.46/0.68  ;     0.000   0%   Ordering                     (57 calls)
% 0.46/0.68  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.46/0.68  ;     0.001   1%   Purity testing               (1 call)
% 0.46/0.68  ;     0.018   9%   Other
% 0.46/0.68  ;     0.190        Total
% 0.46/0.68  ;     0.220        Real time
% 0.46/0.68  ; 
% 0.46/0.68  ; Term-hash-array has 75 terms in all.
% 0.46/0.68  ; Feature-vector-row-index has 37 entries (55 at peak, 68 added, 31 deleted).
% 0.46/0.68  ; Feature-vector-row-index has 111 nodes (167 at peak, 191 added, 80 deleted).
% 0.46/0.68  ;  Retrieved 3 possibly forward subsuming rows in 70 calls.
% 0.46/0.68  ;  Retrieved 12 possibly backward subsumed rows in 68 calls.
% 0.46/0.68  ; Path-index has 85 entries (92 at peak, 94 added, 9 deleted).
% 0.46/0.68  ; Path-index has 888 nodes (899 at peak, 901 added, 13 deleted).
% 0.46/0.68  ; Trie-index has 85 entries (92 at peak, 94 added, 9 deleted).
% 0.46/0.68  ; Trie-index has 554 nodes (612 at peak, 622 added, 68 deleted).
% 0.46/0.68  ; Retrieved 972 generalization terms in 1,117 calls.
% 0.46/0.68  ; Retrieved 41 instance terms in 39 calls.
% 0.46/0.68  ; Retrieved 650 unifiable terms in 496 calls.
% 0.46/0.68  ; 
% 0.46/0.68  ; The agenda of rows to process has 2 entries:
% 0.46/0.68  ;     1 with value 17              1 with value 18
% 0.46/0.68  ; The agenda of input rows to give has 4 entries:
% 0.46/0.68  ;     2 with value 46              1 with value 53               1 with value 56
% 0.46/0.68  ; The agenda of rows to give has 7 entries:
% 0.46/0.68  ;     1 with value (4 4)           1 with value (4 39)           1 with value (4 58)
% 0.46/0.68  ;     1 with value (4 13)          1 with value (4 43)           1 with value (4 68)
% 0.46/0.68  ;     1 with value (4 15)
% 0.46/0.68  Evaluation took:
% 0.46/0.68    0.22 seconds of real time
% 0.46/0.68    0.210525 seconds of user run time
% 0.46/0.68    0.008884 seconds of system run time
% 0.46/0.68    [Run times include 0.006 seconds GC run time.]
% 0.46/0.68    0 calls to %EVAL
% 0.46/0.68    0 page faults and
% 0.46/0.68    36,212,744 bytes consed.
% 0.46/0.68  :PROOF-FOUND
% 0.46/0.68  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T14:01:27
% 0.46/0.68  :PROOF-FOUND
% 0.46/0.68  * 
%------------------------------------------------------------------------------