TSTP Solution File: SYN833-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : SYN833-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n014.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 12:03:40 EDT 2022

% Result   : Unsatisfiable 1.07s 1.25s
% Output   : Refutation 1.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   28
%            Number of leaves      :   50
% Syntax   : Number of clauses     :  126 (  40 unt;  20 nHn;  44 RR)
%            Number of literals    :  792 (   0 equ; 654 neg)
%            Maximal clause size   :   22 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   48 (  47 usr;   2 prp; 0-18 aty)
%            Number of functors    :    9 (   9 usr;   9 con; 0-0 aty)
%            Number of variables   : 1474 ( 652 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(clause9,negated_conjecture,
    ( ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssNder1_3r1r1r1(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

cnf(11,plain,
    ssNder1_3r1r1r1(X,Y,Z),
    inference('REWRITE',[status(thm)],[clause9,clause1,3,5]) ).

cnf(clause17,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',clause17) ).

cnf(21,plain,
    ssNder1_4r1r1r1r1(X,Y,Z,U),
    inference('REWRITE',[status(thm)],[clause17,clause1,3,5,11]) ).

cnf(clause21,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',clause21) ).

cnf(23,plain,
    ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc30),
    inference('REWRITE',[status(thm)],[clause21,clause1,3,5,11]) ).

cnf(clause26,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',clause26) ).

cnf(25,plain,
    ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31),
    inference('REWRITE',[status(thm)],[clause26,clause1,3,5,11]) ).

cnf(clause35,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',clause35) ).

cnf(39,plain,
    ssNder1_5r1r1r1r1r1(X,Y,Z,U,V),
    inference('REWRITE',[status(thm)],[clause35,clause1,3,5,11,21]) ).

cnf(clause36,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',clause36) ).

cnf(41,plain,
    ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc28),
    inference('REWRITE',[status(thm)],[clause36,clause1,3,5,11,21]) ).

cnf(clause51,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',clause51) ).

cnf(61,plain,
    ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W),
    inference('REWRITE',[status(thm)],[clause51,clause1,3,5,11,21,39]) ).

cnf(clause57,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',clause57) ).

cnf(65,plain,
    ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc27),
    inference('REWRITE',[status(thm)],[clause57,clause1,3,5,11,21,39]) ).

cnf(clause72,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',clause72) ).

cnf(87,plain,
    ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1),
    inference('REWRITE',[status(thm)],[clause72,clause1,3,5,11,21,39,61]) ).

cnf(clause73,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',clause73) ).

cnf(89,plain,
    ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24),
    inference('REWRITE',[status(thm)],[clause73,clause1,3,5,11,21,39,61]) ).

cnf(clause95,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',clause95) ).

cnf(117,plain,
    ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1),
    inference('REWRITE',[status(thm)],[clause95,clause1,3,5,11,21,39,61,87]) ).

cnf(clause99,negated_conjecture,
    ( ~ ssPv20_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
    | ssPv20_1r1(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause99) ).

cnf(121,plain,
    ( ~ ssPv20_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv20_1r1(X) ),
    inference('REWRITE',[status(thm)],[clause99,clause1,3,5,11,21,39,61,87]) ).

cnf(clause105,negated_conjecture,
    ( ~ ssPv18_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
    | ssPv18_3r1r1r1(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause105) ).

cnf(127,plain,
    ( ~ ssPv18_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    inference('REWRITE',[status(thm)],[clause105,clause1,3,5,11,21,39,61,87]) ).

cnf(clause113,negated_conjecture,
    ( ~ ssPv16_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) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

cnf(137,plain,
    ( ~ ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
    inference('REWRITE',[status(thm)],[clause113,clause1,3,5,11,21,39,61,87]) ).

cnf(clause115,negated_conjecture,
    ( ~ 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
    | ssPv15_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause115) ).

cnf(141,plain,
    ( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
    | ssPv15_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[clause115,clause1,3,5,11,21,39,61,87]) ).

cnf(clause118,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',clause118) ).

cnf(147,plain,
    ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1),
    inference('REWRITE',[status(thm)],[clause118,clause1,3,5,11,21,39,61,87,117]) ).

cnf(clause140,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',clause140) ).

cnf(185,plain,
    ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
    inference('REWRITE',[status(thm)],[clause140,clause1,3,5,11,21,39,61,87,117,147]) ).

cnf(clause146,negated_conjecture,
    ( ~ ssPv13_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
    | ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv20_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause146) ).

cnf(197,plain,
    ( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv20_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[clause146,clause1,3,5,11,21,39,61,87]) ).

cnf(clause151,negated_conjecture,
    ( ~ ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssPv15_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
    | ssPv18_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

cnf(207,plain,
    ( ~ ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ~ ssPv15_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
    | ssPv18_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
    inference('REWRITE',[status(thm)],[clause151,clause1,3,5,11,21,39,61,87]) ).

cnf(clause164,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',clause164) ).

cnf(231,plain,
    ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1),
    inference('REWRITE',[status(thm)],[clause164,clause1,3,5,11,21,39,61,87,117,147,185]) ).

cnf(clause191,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',clause191) ).

cnf(273,plain,
    ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1),
    inference('REWRITE',[status(thm)],[clause191,clause1,3,5,11,21,39,61,87,117,147,185,231]) ).

cnf(clause222,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',clause222) ).

cnf(331,plain,
    ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
    inference('REWRITE',[status(thm)],[clause222,clause1,3,5,11,21,39,61,87,117,147,185,231,273]) ).

cnf(clause224,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',clause224) ).

cnf(335,plain,
    ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
    inference('REWRITE',[status(thm)],[clause224,clause1,3,5,11,21,39,61,87,117,147,185,231,273]) ).

cnf(clause253,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',clause253) ).

cnf(385,plain,
    ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
    inference('REWRITE',[status(thm)],[clause253,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331]) ).

cnf(clause254,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',clause254) ).

cnf(387,plain,
    ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18),
    inference('REWRITE',[status(thm)],[clause254,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331]) ).

cnf(clause255,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',clause255) ).

cnf(389,plain,
    ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19),
    inference('REWRITE',[status(thm)],[clause255,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331]) ).

cnf(clause284,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',clause284) ).

cnf(447,plain,
    ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
    inference('REWRITE',[status(thm)],[clause284,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385]) ).

cnf(clause285,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',clause285) ).

cnf(449,plain,
    ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16),
    inference('REWRITE',[status(thm)],[clause285,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385]) ).

cnf(clause322,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',clause322) ).

cnf(513,plain,
    ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
    inference('REWRITE',[status(thm)],[clause322,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447]) ).

cnf(clause328,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)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause328) ).

cnf(525,plain,
    ( ~ ssPv18_3r1r1r1(X,Y,Z)
    | ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    inference('REWRITE',[status(thm)],[clause328,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447]) ).

cnf(clause342,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)
    | ~ 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
    | ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause342) ).

cnf(549,plain,
    ( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
    | ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    inference('REWRITE',[status(thm)],[clause342,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447]) ).

cnf(clause360,negated_conjecture,
    ( ~ ssPv7_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
    | ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause360) ).

cnf(581,plain,
    ( ~ ssPv7_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) ),
    inference('REWRITE',[status(thm)],[clause360,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447]) ).

cnf(clause363,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',clause363) ).

cnf(587,plain,
    ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
    inference('REWRITE',[status(thm)],[clause363,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause369,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)
    | ~ ssPv18_3r1r1r1(X,Y,Z)
    | ~ ssNder1_3r1r1r1(X,Y,Z)
    | ~ ssNder1_2r1r1(X,Y)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv18_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',clause369) ).

cnf(599,plain,
    ( ~ ssPv18_3r1r1r1(X,Y,Z)
    | ssPv18_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause369,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause373,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)
    | ~ 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
    | ssPv16_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',clause373) ).

cnf(607,plain,
    ( ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
    | ssPv16_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause373,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause380,negated_conjecture,
    ( ~ ssPv12_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
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause380) ).

cnf(621,plain,
    ( ~ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
    inference('REWRITE',[status(thm)],[clause380,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause401,negated_conjecture,
    ( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ~ 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
    | ssPv6_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',clause401) ).

cnf(659,plain,
    ( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
    | ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause401,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause402,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
    | ssPv5_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',clause402) ).

cnf(661,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ssPv5_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause402,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause406,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)
    | ~ ssPv20_1r1(X)
    | ~ ssNder1_1r1(X)
    | ~ ssNder1_0
    | ssPv20_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',clause406) ).

cnf(669,plain,
    ( ~ ssPv20_1r1(X)
    | ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[clause406,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(clause417,negated_conjecture,
    ( ~ ssPv14_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)
    | ~ 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
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause417) ).

cnf(691,plain,
    ( ~ ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
    inference('REWRITE',[status(thm)],[clause417,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(clause438,negated_conjecture,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv18_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
    | ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause438) ).

cnf(727,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ~ ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    inference('REWRITE',[status(thm)],[clause438,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447]) ).

cnf(clause443,negated_conjecture,
    ( ~ ssPv6_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)
    | ~ 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,Z2) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause443) ).

cnf(737,plain,
    ( ~ ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('REWRITE',[status(thm)],[clause443,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(clause445,negated_conjecture,
    ( ~ 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)
    | ~ 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_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',clause445) ).

cnf(741,plain,
    ( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
    | ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[clause445,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(clause476,negated_conjecture,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv16_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
    | ssPv12_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',clause476) ).

cnf(803,plain,
    ( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv16_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause476,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause477,negated_conjecture,
    ( ~ ssPv5_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv18_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
    | 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',clause477) ).

cnf(805,plain,
    ( ~ ssPv5_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ~ ssPv18_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('REWRITE',[status(thm)],[clause477,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513]) ).

cnf(clause517,negated_conjecture,
    ( ~ ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv20_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)
    | ~ 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)
    | ssPv14_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',clause517) ).

cnf(883,plain,
    ( ~ ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[clause517,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(clause520,negated_conjecture,
    ( ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv20_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)
    | ~ 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_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_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',clause520) ).

cnf(889,plain,
    ( ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ~ ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[clause520,clause1,3,5,11,21,39,61,87,117,147,185,231,273,331,385,447,513,587]) ).

cnf(925,plain,
    ~ ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,skc31,V,W,X1),
    inference('UR-RESOLVE',[status(thm)],[137,25]) ).

cnf(927,plain,
    ssPv15_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,skc28,W,X1),
    inference('HYPERRESOLVE',[status(thm)],[141,41]) ).

cnf(989,plain,
    ssPv16_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
    inference('HYPERRESOLVE',[status(thm)],[607,23]) ).

cnf(1008,plain,
    ~ ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc27,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
    inference('UR-RESOLVE',[status(thm)],[691,65]) ).

cnf(1035,plain,
    ~ ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21,Y2,Z2),
    inference('UR-RESOLVE',[status(thm)],[581,335]) ).

cnf(1045,plain,
    ssPv6_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18,Z2,U2),
    inference('HYPERRESOLVE',[status(thm)],[659,387]) ).

cnf(1050,plain,
    ssPv5_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16,U2),
    inference('HYPERRESOLVE',[status(thm)],[661,449]) ).

cnf(1053,plain,
    ~ ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19,Z2,U2,V2),
    inference('UR-RESOLVE',[status(thm)],[737,389]) ).

cnf(1059,plain,
    ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16,U2,V2),
    inference('HYPERRESOLVE',[status(thm)],[741,449]) ).

cnf(1068,plain,
    ( ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24)
    | ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24)
    | ssPv20_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24) ),
    inference('HYPERRESOLVE',[status(thm)],[197,89]) ).

cnf(1073,plain,
    ( ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24)
    | ssPv16_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24)
    | ssPv20_1r1(X) ),
    inference('HYPERRESOLVE',[status(thm)],[121,1068]) ).

cnf(1074,plain,
    ( ssPv11_8r1r1r1r1r1r1r1r1(X,Y,Z,U,skc31,V,W,skc24)
    | ssPv20_1r1(X) ),
    inference('HYPERRESOLVE',[status(thm)],[925,1073]) ).

cnf(1076,plain,
    ( ssPv20_1r1(X)
    | ssPv18_8r1r1r1r1r1r1r1r1(X,Y,Z,U,skc31,skc28,V,skc24) ),
    inference('HYPERRESOLVE',[status(thm)],[207,1074,89,927]) ).

cnf(1077,plain,
    ( ssPv20_1r1(X)
    | ssPv18_3r1r1r1(X,Y,Z) ),
    inference('HYPERRESOLVE',[status(thm)],[127,1076]) ).

cnf(1090,plain,
    ( ssPv20_1r1(X)
    | ssPv18_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
    inference('HYPERRESOLVE',[status(thm)],[525,1077]) ).

cnf(1091,plain,
    ( ssPv20_1r1(X)
    | ssPv18_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
    inference('HYPERRESOLVE',[status(thm)],[599,1077]) ).

cnf(1096,plain,
    ( ssPv20_1r1(X)
    | ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18,skc16,Z2) ),
    inference('HYPERRESOLVE',[status(thm)],[805,1091,1050,1045]) ).

cnf(1097,plain,
    ( ssPv20_1r1(X)
    | ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc18,skc16,Y2) ),
    inference('HYPERRESOLVE',[status(thm)],[803,1096,1045,989]) ).

cnf(1101,plain,
    ( ssPv20_1r1(X)
    | ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1) ),
    inference('HYPERRESOLVE',[status(thm)],[621,1097]) ).

cnf(1108,plain,
    ( ssPv20_1r1(X)
    | ssPv12_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
    inference('HYPERRESOLVE',[status(thm)],[549,1101]) ).

cnf(1113,plain,
    ( ssPv20_1r1(X)
    | ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc30,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc16) ),
    inference('HYPERRESOLVE',[status(thm)],[727,1108,449,1090]) ).

cnf(1115,plain,
    ssPv20_1r1(X),
    inference('HYPERRESOLVE',[status(thm)],[1035,1113]) ).

cnf(1135,plain,
    ssPv20_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2),
    inference('REWRITE',[status(thm)],[669,1115]) ).

cnf(1136,plain,
    ( ~ ssPv5_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[883,1135]) ).

cnf(1137,plain,
    ( ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv6_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
    | ssPv14_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
    inference('REWRITE',[status(thm)],[889,1135]) ).

cnf(1142,plain,
    ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc27,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc16,Z2,U2),
    inference('UR-RESOLVE',[status(thm)],[1136,1059,1008]) ).

cnf(1271,plain,
    $false,
    inference('UR-RESOLVE',[status(thm)],[1137,1142,1053,1008]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SYN833-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n014.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 : Tue Jul 12 07:22:04 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46  * 
% 0.19/0.46  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:22:04
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-12T07:22:04
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 15-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 14-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 14-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv7_11r1r1r1r1r1r1r1r1r1r1r1| is a 11-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_11r1r1r1r1r1r1r1r1r1r1r1| is a 11-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv2_11r1r1r1r1r1r1r1r1r1r1r1| is a 11-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_10r1r1r1r1r1r1r1r1r1r1| is a 10-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv4_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv11_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv10_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_8r1r1r1r1r1r1r1r1| is a 8-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv10_7r1r1r1r1r1r1r1| is a 7-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv2_7r1r1r1r1r1r1r1| is a 7-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_7r1r1r1r1r1r1r1| is a 7-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv7_6r1r1r1r1r1r1| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_6r1r1r1r1r1r1| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv14_6r1r1r1r1r1r1| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_6r1r1r1r1r1r1| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv10_6r1r1r1r1r1r1| is a 6-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv7_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv10_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv2_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv14_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv11_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv15_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv10_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv12_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv12_3r1r1r1| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_3r1r1r1| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv9_3r1r1r1| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_3r1r1r1| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv11_3r1r1r1| is a 3-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv4_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv14_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv17_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv19_1r1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv18_1r1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_1r1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_1r1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv13_1r1| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv11_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv16_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv14_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv7_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv1_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv15_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv16_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv9_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv2_3r1r1r1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv1_3r1r1r1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv4_3r1r1r1| is a 3-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_4r1r1r1r1| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv4_4r1r1r1r1| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_5r1r1r1r1r1| is a 5-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv14_5r1r1r1r1r1| is a 5-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_5r1r1r1r1r1| is a 5-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv1_6r1r1r1r1r1r1| is a 6-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv5_6r1r1r1r1r1r1| is a 6-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_6r1r1r1r1r1r1| is a 6-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv12_6r1r1r1r1r1r1| is a 6-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv6_7r1r1r1r1r1r1r1| is a 7-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv3_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv7_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.08  WARNING:
% 0.90/1.08     |ssPv8_10r1r1r1r1r1r1r1r1r1r1| is a 10-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv8_11r1r1r1r1r1r1r1r1r1r1r1| is a 11-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv5_11r1r1r1r1r1r1r1r1r1r1r1| is a 11-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv2_13r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 13-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv7_13r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 13-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv4_13r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 13-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv2_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 14-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv6_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 14-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv2_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 15-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 16-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv3_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 16-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv2_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 18-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 20-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv12_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv11_5r1r1r1r1r1| is a 5-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv7_4r1r1r1r1| is a 4-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv5_2r1r1| is a 2-ary relation that occurs only negatively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv6_2r1r1| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv16_4r1r1r1r1| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv4_5r1r1r1r1r1| is a 5-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv5_9r1r1r1r1r1r1r1r1r1| is a 9-ary relation that occurs only positively; disabling rows that contain it.
% 0.90/1.09  WARNING:
% 0.90/1.09     |ssPv3_13r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 13-ary relation that occurs only positively; disabling rows that contain it.
% 1.07/1.25  
% 1.07/1.25  
% 1.07/1.25  #||
% 1.07/1.25  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.07/1.25  % SZS output start Refutation
% See solution above
% 1.11/1.30  ||#
% 1.11/1.30  
% 1.11/1.30  ; Summary of computation:
% 1.11/1.30  ;      1711 formulas have been input or derived (from 780 formulas).
% 1.11/1.30  ;      1271 (74%) were retained.  Of these,
% 1.11/1.30  ;          723 (57%) were simplified or subsumed later,
% 1.11/1.30  ;          548 (43%) are still being kept.
% 1.11/1.30  ; 
% 1.11/1.30  ; Run time in seconds excluding printing time:
% 1.11/1.30  ;     0.524  67%   Read assertion file          (1 call)
% 1.11/1.30  ;     0.074   9%   Assert                       (536 calls)
% 1.11/1.30  ;     0.036   5%   Process new row              (1,093 calls)
% 1.11/1.30  ;     0.027   3%   Resolution                   (1,558 calls)
% 1.11/1.30  ;     0.003   0%   Paramodulation               (779 calls)
% 1.11/1.30  ;     0.000   0%   Factoring                    (38 calls)
% 1.11/1.30  ;     0.008   1%   Condensing                   (513 calls)
% 1.11/1.30  ;     0.002   0%   Forward subsumption          (513 calls)
% 1.11/1.30  ;     0.010   1%   Backward subsumption         (484 calls)
% 1.11/1.30  ;     0.000   0%   Clause clause subsumption    (31 calls)
% 1.11/1.30  ;     0.053   7%   Forward simplification       (1,014 calls)
% 1.11/1.30  ;     0.005   1%   Backward simplification      (813 calls)
% 1.11/1.30  ;     0.000   0%   Ordering                     (82 calls)
% 1.11/1.30  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.11/1.30  ;     0.018   2%   Purity testing               (1 call)
% 1.11/1.30  ;     0.025   3%   Other
% 1.11/1.30  ;     0.785        Total
% 1.11/1.30  ;     0.834        Real time
% 1.11/1.30  ; 
% 1.11/1.30  ; Term-hash-array has 482 terms in all.
% 1.11/1.30  ; Feature-vector-row-index has 236 entries (466 at peak, 484 added, 248 deleted).
% 1.11/1.30  ; Feature-vector-row-index has 109 nodes (275 at peak, 302 added, 193 deleted).
% 1.11/1.30  ;  Retrieved 1,298 possibly forward subsuming rows in 513 calls.
% 1.11/1.30  ;  Retrieved 1,035 possibly backward subsumed rows in 484 calls.
% 1.11/1.30  ; Path-index has 458 entries (469 at peak, 560 added, 102 deleted).
% 1.11/1.30  ; Path-index has 6,668 nodes (6,714 at peak, 7,256 added, 588 deleted).
% 1.11/1.30  ; Trie-index has 458 entries (469 at peak, 560 added, 102 deleted).
% 1.11/1.30  ; Trie-index has 4,814 nodes (4,926 at peak, 5,788 added, 974 deleted).
% 1.11/1.30  ; Retrieved 5,979 generalization terms in 6,310 calls.
% 1.11/1.30  ; Retrieved 348 instance terms in 328 calls.
% 1.11/1.30  ; Retrieved 3,256 unifiable terms in 3,166 calls.
% 1.11/1.30  ; 
% 1.11/1.30  ; The agenda of rows to process has 5 entries:
% 1.11/1.30  ;     2 with value 23              1 with value 25               1 with value 43
% 1.11/1.30  ;     1 with value 24
% 1.11/1.30  ; The agenda of rows to give has 19 entries:
% 1.11/1.30  ;     5 with value (4 22)          3 with value (4 25)           1 with value (4 42)
% 1.11/1.30  ;     4 with value (4 23)          2 with value (4 26)           1 with value (4 44)
% 1.11/1.30  ;     3 with value (4 24)
% 1.11/1.30  Evaluation took:
% 1.11/1.30    0.834 seconds of real time
% 1.11/1.30    0.816264 seconds of user run time
% 1.11/1.30    0.018001 seconds of system run time
% 1.11/1.30    [Run times include 0.049 seconds GC run time.]
% 1.11/1.30    0 calls to %EVAL
% 1.11/1.30    0 page faults and
% 1.11/1.30    90,699,120 bytes consed.
% 1.11/1.30  :PROOF-FOUND
% 1.11/1.30  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-12T07:22:05
% 1.11/1.30  :PROOF-FOUND
% 1.11/1.30  * 
%------------------------------------------------------------------------------