TSTP Solution File: SYN878-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN878-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 12:05:43 EDT 2022

% Result   : Unsatisfiable 0.50s 0.70s
% Output   : Refutation 0.56s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   38
% Syntax   : Number of clauses     :   89 (  36 unt;  16 nHn;  26 RR)
%            Number of literals    :  563 (   0 equ; 464 neg)
%            Maximal clause size   :   23 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   35 (  34 usr;   2 prp; 0-19 aty)
%            Number of functors    :   10 (  10 usr;  10 con; 0-0 aty)
%            Number of variables   :  953 ( 413 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(clause6,negated_conjecture,
    ( ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

cnf(11,plain,
    ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30),
    inference('REWRITE',[status(thm)],[clause6,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(clause9,negated_conjecture,
    ( ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

cnf(17,plain,
    ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28),
    inference('REWRITE',[status(thm)],[clause9,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(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(clause15,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
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

cnf(29,plain,
    ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24),
    inference('REWRITE',[status(thm)],[clause15,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(clause20,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',clause20) ).

cnf(39,plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
    inference('REWRITE',[status(thm)],[clause20,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,clause1,3,5,7,9,15,21,27,33,35,39]) ).

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
    | ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

cnf(45,plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1),
    inference('REWRITE',[status(thm)],[clause23,clause1,3,5,7,9,15,21,27,33,35,39,41]) ).

cnf(clause24,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',clause24) ).

cnf(47,plain,
    ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22),
    inference('REWRITE',[status(thm)],[clause24,clause1,3,5,7,9,15,21,27,33,35,39,41]) ).

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
    | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

cnf(51,plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
    inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,39,41,45]) ).

cnf(clause27,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',clause27) ).

cnf(53,plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20),
    inference('REWRITE',[status(thm)],[clause27,clause1,3,5,7,9,15,21,27,33,35,39,41,45]) ).

cnf(clause28,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',clause28) ).

cnf(55,plain,
    ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
    inference('REWRITE',[status(thm)],[clause28,clause1,3,5,7,9,15,21,27,33,35,39,41,45]) ).

cnf(clause30,negated_conjecture,
    ( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ 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)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ 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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

cnf(59,plain,
    ( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
    inference('REWRITE',[status(thm)],[clause30,clause1,3,5,7,9,15,21,27,33,35,39,41]) ).

cnf(clause32,negated_conjecture,
    ( ~ 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)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ 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 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

cnf(63,plain,
    ( ~ 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)
    | ~ ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause32,clause1,3,5,7,9,15,21,27,33,35,39,41,45]) ).

cnf(clause33,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',clause33) ).

cnf(65,plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
    inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51]) ).

cnf(clause35,negated_conjecture,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19)
    | ~ 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 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

cnf(69,plain,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19),
    inference('REWRITE',[status(thm)],[clause35,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51]) ).

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
    | ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

cnf(71,plain,
    ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
    inference('REWRITE',[status(thm)],[clause36,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65]) ).

cnf(clause37,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',clause37) ).

cnf(73,plain,
    ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16),
    inference('REWRITE',[status(thm)],[clause37,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65]) ).

cnf(clause39,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)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

cnf(77,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    inference('REWRITE',[status(thm)],[clause39,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51]) ).

cnf(clause40,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)
    | ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ 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)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

cnf(79,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    inference('REWRITE',[status(thm)],[clause40,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51]) ).

cnf(clause42,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',clause42) ).

cnf(83,plain,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
    inference('REWRITE',[status(thm)],[clause42,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71]) ).

cnf(clause44,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)
    | ~ 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)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ 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,Z2)
    | ssPv20_1r1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

cnf(87,plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause44,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65]) ).

cnf(clause46,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',clause46) ).

cnf(91,plain,
    ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
    inference('REWRITE',[status(thm)],[clause46,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83]) ).

cnf(clause50,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',clause50) ).

cnf(99,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)],[clause50,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83,91]) ).

cnf(clause55,negated_conjecture,
    ( ~ 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
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause55) ).

cnf(109,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    inference('REWRITE',[status(thm)],[clause55,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83]) ).

cnf(clause56,negated_conjecture,
    ( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ 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)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ~ 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
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

cnf(111,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)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    inference('REWRITE',[status(thm)],[clause56,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83]) ).

cnf(clause62,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)
    | ~ 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)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ 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,Z2)
    | ssPv20_1r1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

cnf(123,plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause62,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83,91,99]) ).

cnf(clause63,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)
    | ~ 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)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ 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)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause63) ).

cnf(125,plain,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[clause63,clause1,3,5,7,9,15,21,27,33,35,39,41,45,51,65,71,83,91,99]) ).

cnf(152,plain,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[77,53]) ).

cnf(156,plain,
    ( ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16,U2)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y) ),
    inference('HYPERRESOLVE',[status(thm)],[109,73]) ).

cnf(170,plain,
    ( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv19_2r1r1(X,Y)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    inference('HYPERRESOLVE',[status(thm)],[111,156,47,152]) ).

cnf(171,plain,
    ssPv19_2r1r1(X,Y),
    inference('UR-RESOLVE',[status(thm)],[170,31,19]) ).

cnf(172,plain,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ~ ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[63,171]) ).

cnf(173,plain,
    ~ ssPv20_1r1(X),
    inference('UR-RESOLVE',[status(thm)],[172,47,11]) ).

cnf(174,plain,
    ( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('REWRITE',[status(thm)],[87,173]) ).

cnf(175,plain,
    ( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('REWRITE',[status(thm)],[123,173]) ).

cnf(184,plain,
    ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24,Y1,Z1,U1),
    inference('UR-RESOLVE',[status(thm)],[174,29,69]) ).

cnf(185,plain,
    ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc19,Y2,Z2,U2,V2),
    inference('UR-RESOLVE',[status(thm)],[175,11,69]) ).

cnf(193,plain,
    ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc28,V,skc24,W,X1,Y1,Z1),
    inference('UR-RESOLVE',[status(thm)],[59,184,17,11]) ).

cnf(195,plain,
    ssPv18_3r1r1r1(X,Y,Z),
    inference('UR-RESOLVE',[status(thm)],[79,193,17,55]) ).

cnf(196,plain,
    ( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[125,195]) ).

cnf(208,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[196,185,47,31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SYN878-1 : TPTP v8.1.0. Released v2.5.0.
% 0.13/0.14  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n022.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Mon Jul 11 23:57:40 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.48  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49  * 
% 0.20/0.49  * 
% 0.20/0.49  #<PACKAGE "SNARK-USER">
% 0.20/0.49  * 
% 0.20/0.49  SNARK-TPTP-OPTIONS
% 0.20/0.49  * 
% 0.20/0.49  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49   (USE-FACTORING :POS)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49  * 
% 0.20/0.49  "."
% 0.20/0.49  * 
% 0.20/0.49  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:57:40
% 0.20/0.50  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T23:57:40
% 0.50/0.70  
% 0.50/0.70  
% 0.50/0.70  #||
% 0.50/0.70  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.70  % SZS output start Refutation
% See solution above
% 0.56/0.73  ||#
% 0.56/0.73  
% 0.56/0.73  ; Summary of computation:
% 0.56/0.73  ;       254 formulas have been input or derived (from 109 formulas).
% 0.56/0.73  ;       208 (82%) were retained.  Of these,
% 0.56/0.73  ;          114 (55%) were simplified or subsumed later,
% 0.56/0.73  ;           94 (45%) are still being kept.
% 0.56/0.73  ; 
% 0.56/0.73  ; Run time in seconds excluding printing time:
% 0.56/0.73  ;     0.132  65%   Read assertion file          (1 call)
% 0.56/0.73  ;     0.016   8%   Assert                       (76 calls)
% 0.56/0.73  ;     0.010   5%   Process new row              (171 calls)
% 0.56/0.73  ;     0.005   2%   Resolution                   (216 calls)
% 0.56/0.73  ;     0.001   0%   Paramodulation               (108 calls)
% 0.56/0.73  ;     0.000   0%   Factoring                    (11 calls)
% 0.56/0.73  ;     0.002   1%   Condensing                   (77 calls)
% 0.56/0.73  ;     0.001   0%   Forward subsumption          (77 calls)
% 0.56/0.73  ;     0.003   1%   Backward subsumption         (73 calls)
% 0.56/0.73  ;     0.000   0%   Clause clause subsumption    (6 calls)
% 0.56/0.73  ;     0.010   5%   Forward simplification       (167 calls)
% 0.56/0.73  ;     0.003   1%   Backward simplification      (133 calls)
% 0.56/0.73  ;     0.000   0%   Ordering                     (61 calls)
% 0.56/0.73  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.56/0.73  ;     0.001   0%   Purity testing               (1 call)
% 0.56/0.73  ;     0.019   9%   Other
% 0.56/0.73  ;     0.204        Total
% 0.56/0.73  ;     0.236        Real time
% 0.56/0.73  ; 
% 0.56/0.73  ; Term-hash-array has 97 terms in all.
% 0.56/0.73  ; Feature-vector-row-index has 34 entries (57 at peak, 73 added, 39 deleted).
% 0.56/0.73  ; Feature-vector-row-index has 103 nodes (180 at peak, 226 added, 123 deleted).
% 0.56/0.73  ;  Retrieved 9 possibly forward subsuming rows in 77 calls.
% 0.56/0.73  ;  Retrieved 12 possibly backward subsumed rows in 73 calls.
% 0.56/0.73  ; Path-index has 103 entries (103 at peak, 121 added, 18 deleted).
% 0.56/0.73  ; Path-index has 920 nodes (920 at peak, 945 added, 25 deleted).
% 0.56/0.73  ; Trie-index has 103 entries (103 at peak, 121 added, 18 deleted).
% 0.56/0.73  ; Trie-index has 722 nodes (722 at peak, 846 added, 124 deleted).
% 0.56/0.73  ; Retrieved 964 generalization terms in 1,137 calls.
% 0.56/0.73  ; Retrieved 60 instance terms in 59 calls.
% 0.56/0.73  ; Retrieved 955 unifiable terms in 677 calls.
% 0.56/0.73  ; 
% 0.56/0.73  ; The agenda of rows to process has 4 entries:
% 0.56/0.73  ;     1 with value 12              1 with value 19               1 with value 21
% 0.56/0.73  ;     1 with value 17
% 0.56/0.73  ; The agenda of rows to give has 17 entries:
% 0.56/0.73  ;     5 with value (4 22)          3 with value (4 27)           1 with value (4 35)
% 0.56/0.73  ;     1 with value (4 23)          1 with value (4 28)           2 with value (4 43)
% 0.56/0.73  ;     2 with value (4 24)          1 with value (4 32)           1 with value (4 49)
% 0.56/0.73  Evaluation took:
% 0.56/0.73    0.237 seconds of real time
% 0.56/0.73    0.229447 seconds of user run time
% 0.56/0.73    0.006742 seconds of system run time
% 0.56/0.73    [Run times include 0.009 seconds GC run time.]
% 0.56/0.73    0 calls to %EVAL
% 0.56/0.73    0 page faults and
% 0.56/0.73    33,567,296 bytes consed.
% 0.56/0.73  :PROOF-FOUND
% 0.56/0.73  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T23:57:40
% 0.56/0.73  :PROOF-FOUND
% 0.56/0.73  * 
%------------------------------------------------------------------------------