TSTP Solution File: SYN877-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN877-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n028.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 0.46s 0.64s
% Output   : Refutation 0.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   37
% Syntax   : Number of clauses     :   86 (  36 unt;  19 nHn;  21 RR)
%            Number of literals    :  540 (   0 equ; 444 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   :  924 ( 419 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
    ssNder1_0,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).

cnf(clause2,negated_conjecture,
    ( ~ ssNder1_0
    | ssNder1_1r1(X) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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(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/sandbox2/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(clause19,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/sandbox2/benchmark/theBenchmark.p',clause19) ).

cnf(37,plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1),
    inference('REWRITE',[status(thm)],[clause19,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/sandbox2/benchmark/theBenchmark.p',clause20) ).

cnf(39,plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
    inference('REWRITE',[status(thm)],[clause20,clause1,3,5,7,9,15,21,27,33,37]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41]) ).

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
    | ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause27) ).

cnf(53,plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
    inference('REWRITE',[status(thm)],[clause27,clause1,3,5,7,9,15,21,27,33,37,39,41,43]) ).

cnf(clause28,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/sandbox2/benchmark/theBenchmark.p',clause28) ).

cnf(55,plain,
    ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20),
    inference('REWRITE',[status(thm)],[clause28,clause1,3,5,7,9,15,21,27,33,37,39,41,43]) ).

cnf(clause29,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/sandbox2/benchmark/theBenchmark.p',clause29) ).

cnf(57,plain,
    ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
    inference('REWRITE',[status(thm)],[clause29,clause1,3,5,7,9,15,21,27,33,37,39,41,43]) ).

cnf(clause31,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/sandbox2/benchmark/theBenchmark.p',clause31) ).

cnf(61,plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
    inference('REWRITE',[status(thm)],[clause31,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53]) ).

cnf(clause33,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/sandbox2/benchmark/theBenchmark.p',clause33) ).

cnf(65,plain,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19),
    inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61]) ).

cnf(clause39,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)
    | ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ 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
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).

cnf(77,plain,
    ( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
    | ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    inference('REWRITE',[status(thm)],[clause39,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53]) ).

cnf(clause41,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/sandbox2/benchmark/theBenchmark.p',clause41) ).

cnf(81,plain,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
    inference('REWRITE',[status(thm)],[clause41,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69]) ).

cnf(clause42,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)
    | ~ 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)
    | ~ ssPv20_1r1(X)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).

cnf(83,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ~ ssPv20_1r1(X)
    | 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)],[clause42,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61]) ).

cnf(clause43,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)
    | ~ 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
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).

cnf(85,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference('REWRITE',[status(thm)],[clause43,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81]) ).

cnf(clause49,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)
    | ~ 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)
    | ~ 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)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause49) ).

cnf(97,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)
    | ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
    | ~ ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference('REWRITE',[status(thm)],[clause49,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69]) ).

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/sandbox2/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,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81,87]) ).

cnf(clause51,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)
    | ~ 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
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).

cnf(101,plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference('REWRITE',[status(thm)],[clause51,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81]) ).

cnf(clause57,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)
    | ~ 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
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv20_1r1(X) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).

cnf(111,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause57,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81]) ).

cnf(clause66,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
    | 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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).

cnf(125,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)
    | 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) ),
    inference('REWRITE',[status(thm)],[clause66,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81,87,99]) ).

cnf(clause68,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)
    | ~ 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
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).

cnf(127,plain,
    ( ~ 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)
    | ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
    inference('REWRITE',[status(thm)],[clause68,clause1,3,5,7,9,15,21,27,33,37,39,41,43,53,61,69,81,87,99]) ).

cnf(145,plain,
    ( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X1,Y1)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference('HYPERRESOLVE',[status(thm)],[85,17]) ).

cnf(152,plain,
    ( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24,Y1,Z1,U1,V1,skc22,W1,X2,Y2,Z2,U2,V2)
    | ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24,Y1,Z1,U1,V1) ),
    inference('HYPERRESOLVE',[status(thm)],[127,45,29]) ).

cnf(153,plain,
    ( ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X1,Y1)
    | ssPv17_4r1r1r1r1(X,Y,Z,U) ),
    inference('HYPERRESOLVE',[status(thm)],[65,145]) ).

cnf(154,plain,
    ( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,skc24,X1,Y1,Z1,U1)
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,skc24,X1,Y1,Z1,U1,skc22,V1) ),
    inference('HYPERRESOLVE',[status(thm)],[125,152,11]) ).

cnf(158,plain,
    ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,skc24,X1,Y1,Z1,U1),
    inference('HYPERRESOLVE',[status(thm)],[57,154]) ).

cnf(159,plain,
    ~ ssPv17_4r1r1r1r1(X,Y,Z,U),
    inference('UR-RESOLVE',[status(thm)],[97,158,71,45]) ).

cnf(163,plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
    inference('REWRITE',[status(thm)],[101,159]) ).

cnf(168,plain,
    ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X1,Y1),
    inference('REWRITE',[status(thm)],[153,159]) ).

cnf(170,plain,
    ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,skc29,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
    inference('UR-RESOLVE',[status(thm)],[163,11,19]) ).

cnf(174,plain,
    ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,skc27,W,X1,Y1),
    inference('UR-RESOLVE',[status(thm)],[77,168,57,25]) ).

cnf(179,plain,
    ~ ssPv20_1r1(X),
    inference('UR-RESOLVE',[status(thm)],[83,174,17,65]) ).

cnf(181,plain,
    ( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('REWRITE',[status(thm)],[111,179]) ).

cnf(193,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[181,170,55,65]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN877-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n028.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 16:20:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45  * 
% 0.18/0.45  * 
% 0.18/0.46  #<PACKAGE "SNARK-USER">
% 0.18/0.46  * 
% 0.18/0.46  SNARK-TPTP-OPTIONS
% 0.18/0.46  * 
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:20:44
% 0.18/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-11T16:20:44
% 0.40/0.60  WARNING:
% 0.40/0.60     |ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 18-ary relation that occurs only negatively; disabling rows that contain it.
% 0.40/0.60  WARNING:
% 0.40/0.60     |ssPv19_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64  
% 0.46/0.64  
% 0.46/0.64  #||
% 0.46/0.64  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.64  % SZS output start Refutation
% See solution above
% 0.47/0.66  ||#
% 0.47/0.66  
% 0.47/0.66  ; Summary of computation:
% 0.47/0.66  ;       218 formulas have been input or derived (from 102 formulas).
% 0.47/0.66  ;       193 (89%) were retained.  Of these,
% 0.47/0.66  ;          115 (60%) were simplified or subsumed later,
% 0.47/0.66  ;           78 (40%) are still being kept.
% 0.47/0.66  ; 
% 0.47/0.66  ; Run time in seconds excluding printing time:
% 0.47/0.66  ;     0.115  64%   Read assertion file          (1 call)
% 0.47/0.66  ;     0.016   9%   Assert                       (76 calls)
% 0.47/0.66  ;     0.007   4%   Process new row              (141 calls)
% 0.47/0.66  ;     0.004   2%   Resolution                   (202 calls)
% 0.47/0.66  ;     0.000   0%   Paramodulation               (101 calls)
% 0.47/0.66  ;     0.000   0%   Factoring                    (10 calls)
% 0.47/0.66  ;     0.000   0%   Condensing                   (68 calls)
% 0.47/0.66  ;     0.000   0%   Forward subsumption          (68 calls)
% 0.47/0.66  ;     0.001   1%   Backward subsumption         (63 calls)
% 0.47/0.66  ;     0.000   0%   Clause clause subsumption    (9 calls)
% 0.47/0.66  ;     0.015   8%   Forward simplification       (135 calls)
% 0.47/0.66  ;     0.001   1%   Backward simplification      (122 calls)
% 0.47/0.66  ;     0.000   0%   Ordering                     (49 calls)
% 0.47/0.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.47/0.66  ;     0.002   1%   Purity testing               (1 call)
% 0.47/0.66  ;     0.018  10%   Other
% 0.47/0.66  ;     0.179        Total
% 0.47/0.66  ;     0.207        Real time
% 0.47/0.66  ; 
% 0.47/0.66  ; Term-hash-array has 86 terms in all.
% 0.47/0.66  ; Feature-vector-row-index has 24 entries (48 at peak, 63 added, 39 deleted).
% 0.47/0.66  ; Feature-vector-row-index has 66 nodes (137 at peak, 170 added, 104 deleted).
% 0.47/0.66  ;  Retrieved 9 possibly forward subsuming rows in 68 calls.
% 0.47/0.66  ;  Retrieved 10 possibly backward subsumed rows in 63 calls.
% 0.47/0.66  ; Path-index has 91 entries (92 at peak, 109 added, 18 deleted).
% 0.47/0.66  ; Path-index has 860 nodes (861 at peak, 883 added, 23 deleted).
% 0.47/0.66  ; Trie-index has 91 entries (92 at peak, 109 added, 18 deleted).
% 0.47/0.66  ; Trie-index has 614 nodes (628 at peak, 759 added, 145 deleted).
% 0.47/0.66  ; Retrieved 879 generalization terms in 1,044 calls.
% 0.47/0.66  ; Retrieved 64 instance terms in 58 calls.
% 0.47/0.66  ; Retrieved 654 unifiable terms in 545 calls.
% 0.47/0.66  ; 
% 0.47/0.66  ; The agenda of rows to process has 4 entries:
% 0.47/0.66  ;     1 with value 10              1 with value 19               1 with value 24
% 0.47/0.66  ;     1 with value 18
% 0.47/0.66  ; The agenda of rows to give has 10 entries:
% 0.47/0.66  ;     2 with value (4 20)          1 with value (4 26)           1 with value (4 38)
% 0.47/0.66  ;     4 with value (4 23)          1 with value (4 37)           1 with value (4 40)
% 0.47/0.66  Evaluation took:
% 0.47/0.66    0.207 seconds of real time
% 0.47/0.66    0.195345 seconds of user run time
% 0.47/0.66    0.011878 seconds of system run time
% 0.47/0.66    [Run times include 0.008 seconds GC run time.]
% 0.47/0.66    0 calls to %EVAL
% 0.47/0.66    0 page faults and
% 0.47/0.66    32,970,232 bytes consed.
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T16:20:44
% 0.47/0.66  :PROOF-FOUND
% 0.47/0.66  * 
%------------------------------------------------------------------------------