TSTP Solution File: SYN881-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN881-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n027.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 12:05:55 EDT 2022
% Result : Unsatisfiable 0.56s 0.76s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 47
% Syntax : Number of clauses : 111 ( 42 unt; 24 nHn; 28 RR)
% Number of literals : 858 ( 0 equ; 723 neg)
% Maximal clause size : 28 ( 7 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 2 prp; 0-24 aty)
% Number of functors : 13 ( 13 usr; 13 con; 0-0 aty)
% Number of variables : 1546 ( 686 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(clause7,negated_conjecture,
( ~ ssPv24_5r1r1r1r1r1(X,Y,Z,U,skc47)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(13,plain,
~ ssPv24_5r1r1r1r1r1(X,Y,Z,U,skc47),
inference('REWRITE',[status(thm)],[clause7,clause1,3,5,7]) ).
cnf(clause8,negated_conjecture,
( ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/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
| ssPv23_6r1r1r1r1r1r1(X,Y,Z,U,V,skc44) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause9) ).
cnf(17,plain,
ssPv23_6r1r1r1r1r1r1(X,Y,Z,U,V,skc44),
inference('REWRITE',[status(thm)],[clause9,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,
( ~ ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc43)
| ~ 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,
~ ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc43),
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
| ssPv21_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
cnf(29,plain,
ssPv21_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40),
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(clause18,negated_conjecture,
( ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
cnf(35,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1),
inference('REWRITE',[status(thm)],[clause18,clause1,3,5,7,9,15,21,27,33]) ).
cnf(clause19,negated_conjecture,
( ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(37,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1),
inference('REWRITE',[status(thm)],[clause19,clause1,3,5,7,9,15,21,27,33,35]) ).
cnf(clause20,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',clause20) ).
cnf(39,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1),
inference('REWRITE',[status(thm)],[clause20,clause1,3,5,7,9,15,21,27,33,35,37]) ).
cnf(clause21,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',clause21) ).
cnf(41,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1),
inference('REWRITE',[status(thm)],[clause21,clause1,3,5,7,9,15,21,27,33,35,37,39]) ).
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
| ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc38) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(43,plain,
ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc38),
inference('REWRITE',[status(thm)],[clause22,clause1,3,5,7,9,15,21,27,33,35,37,39]) ).
cnf(clause23,negated_conjecture,
( ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc39)
| ~ 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',clause23) ).
cnf(45,plain,
~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc39),
inference('REWRITE',[status(thm)],[clause23,clause1,3,5,7,9,15,21,27,33,35,37,39]) ).
cnf(clause26,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(51,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
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,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51]) ).
cnf(clause32,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
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc34) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(63,plain,
ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc34),
inference('REWRITE',[status(thm)],[clause32,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51]) ).
cnf(clause34,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',clause34) ).
cnf(67,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
inference('REWRITE',[status(thm)],[clause34,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61]) ).
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
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc32) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause36) ).
cnf(71,plain,
ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc32),
inference('REWRITE',[status(thm)],[clause36,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61]) ).
cnf(clause37,negated_conjecture,
( ~ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc33)
| ~ 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 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(73,plain,
~ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc33),
inference('REWRITE',[status(thm)],[clause37,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61]) ).
cnf(clause38,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(75,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
inference('REWRITE',[status(thm)],[clause38,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67]) ).
cnf(clause39,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',clause39) ).
cnf(77,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
inference('REWRITE',[status(thm)],[clause39,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75]) ).
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
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ssPv25_4r1r1r1r1(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause41) ).
cnf(81,plain,
( ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ssPv25_4r1r1r1r1(X,Y,Z,U) ),
inference('REWRITE',[status(thm)],[clause41,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67]) ).
cnf(clause42,negated_conjecture,
( ~ ssPv14_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)
| ~ ssPv26_3r1r1r1(X,Y,Z)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(83,plain,
( ~ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv26_3r1r1r1(X,Y,Z)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
inference('REWRITE',[status(thm)],[clause42,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67]) ).
cnf(clause43,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',clause43) ).
cnf(85,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)],[clause43,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77]) ).
cnf(clause45,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)
| ~ 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_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(89,plain,
ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3),
inference('REWRITE',[status(thm)],[clause45,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85]) ).
cnf(clause46,negated_conjecture,
( ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(91,plain,
ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3),
inference('REWRITE',[status(thm)],[clause46,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89]) ).
cnf(clause47,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssPv23_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
| ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause47) ).
cnf(93,plain,
( ~ ssPv23_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
inference('REWRITE',[status(thm)],[clause47,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77]) ).
cnf(clause52,negated_conjecture,
( ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(103,plain,
ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3),
inference('REWRITE',[status(thm)],[clause52,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91]) ).
cnf(clause53,negated_conjecture,
( ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,skc28) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(105,plain,
ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,skc28),
inference('REWRITE',[status(thm)],[clause53,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91]) ).
cnf(clause56,negated_conjecture,
( ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(111,plain,
ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3),
inference('REWRITE',[status(thm)],[clause56,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103]) ).
cnf(clause57,negated_conjecture,
( ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,skc26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause57) ).
cnf(113,plain,
ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,skc26),
inference('REWRITE',[status(thm)],[clause57,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103]) ).
cnf(clause59,negated_conjecture,
( ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(117,plain,
ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3),
inference('REWRITE',[status(thm)],[clause59,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111]) ).
cnf(clause60,negated_conjecture,
( ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,skc24) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause60) ).
cnf(119,plain,
ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,skc24),
inference('REWRITE',[status(thm)],[clause60,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111]) ).
cnf(clause62,negated_conjecture,
( ~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,skc25)
| ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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',clause62) ).
cnf(123,plain,
~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,skc25),
inference('REWRITE',[status(thm)],[clause62,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111]) ).
cnf(clause63,negated_conjecture,
( ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ ssPv14_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)
| ~ ssPv17_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)
| ~ ssPv25_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',clause63) ).
cnf(125,plain,
( ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssPv25_4r1r1r1r1(X,Y,Z,U) ),
inference('REWRITE',[status(thm)],[clause63,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103]) ).
cnf(clause65,negated_conjecture,
( ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause65) ).
cnf(129,plain,
( ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[clause65,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103]) ).
cnf(clause67,negated_conjecture,
( ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ 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)
| ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv12_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',clause67) ).
cnf(133,plain,
( ~ ssPv7_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
inference('REWRITE',[status(thm)],[clause67,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103]) ).
cnf(clause68,negated_conjecture,
( ~ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ssPv26_3r1r1r1(X,Y,Z)
| ssPv27_2r1r1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause68) ).
cnf(135,plain,
( ~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ssPv26_3r1r1r1(X,Y,Z)
| ssPv27_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[clause68,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111,117]) ).
cnf(clause69,negated_conjecture,
( ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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)
| ~ ssPv27_2r1r1(X,Y)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause69) ).
cnf(137,plain,
( ~ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssPv27_2r1r1(X,Y)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
inference('REWRITE',[status(thm)],[clause69,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111]) ).
cnf(clause72,negated_conjecture,
( ~ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ 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)
| ~ ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssPv21_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
| ssPv11_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',clause72) ).
cnf(141,plain,
( ~ ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ~ ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssPv21_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2) ),
inference('REWRITE',[status(thm)],[clause72,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111,117]) ).
cnf(clause73,negated_conjecture,
( ~ ssNder1_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssNder1_22r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3)
| ~ ssNder1_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ 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)
| ~ ssPv13_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_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ssPv27_2r1r1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(143,plain,
( ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3)
| ssPv27_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[clause73,clause1,3,5,7,9,15,21,27,33,35,37,39,41,51,61,67,75,77,85,89,91,103,111,117]) ).
cnf(171,plain,
( ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ssPv26_3r1r1r1(X,Y,Z)
| ssPv27_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[135,119]) ).
cnf(172,plain,
( ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ssPv25_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[73,81]) ).
cnf(178,plain,
( ssPv26_3r1r1r1(X,Y,Z)
| ssPv27_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[25,171]) ).
cnf(179,plain,
( ssPv27_2r1r1(X,Y)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc34,Z2)
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
inference('HYPERRESOLVE',[status(thm)],[83,178,63]) ).
cnf(181,plain,
( ssPv19_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ssPv25_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[45,172]) ).
cnf(182,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2) ),
inference('HYPERRESOLVE',[status(thm)],[141,181,119,29]) ).
cnf(183,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40,Y1,Z1,U1,V1,skc38,W1,X2,Y2,Z2) ),
inference('HYPERRESOLVE',[status(thm)],[133,182,105,43]) ).
cnf(184,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40,Y1,Z1,U1,V1,skc38,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('HYPERRESOLVE',[status(thm)],[129,183,105]) ).
cnf(185,plain,
( ssPv27_2r1r1(X,Y)
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
inference('HYPERRESOLVE',[status(thm)],[73,179]) ).
cnf(186,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc40,Y1,Z1,U1,V1,skc38,W1,X2,skc32,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ssPv27_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[143,184,71]) ).
cnf(187,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv27_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[123,186]) ).
cnf(188,plain,
( ssPv25_4r1r1r1r1(X,Y,Z,U)
| ssPv27_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[13,187]) ).
cnf(189,plain,
ssPv27_2r1r1(X,Y),
inference('HYPERRESOLVE',[status(thm)],[125,188,105,63,185]) ).
cnf(191,plain,
( ~ ssPv6_23r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3)
| ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2) ),
inference('REWRITE',[status(thm)],[137,189]) ).
cnf(193,plain,
~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc33,U2,V2,W2,X3),
inference('UR-RESOLVE',[status(thm)],[191,113,73]) ).
cnf(200,plain,
~ ssPv12_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc47,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc33,Z2),
inference('UR-RESOLVE',[status(thm)],[129,193,105,13]) ).
cnf(214,plain,
~ ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc47,V,W,X1,Y1,Z1,U1,V1,skc38,W1,X2,skc33,Y2,Z2),
inference('UR-RESOLVE',[status(thm)],[133,200,105,43]) ).
cnf(222,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[93,214,17,200,73]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN881-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n027.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jul 11 22:46:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 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/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:46:19
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n027.cluster.edu at 2022-07-11T22:46:19
% 0.48/0.70 WARNING:
% 0.48/0.70 |ssPv28_1r1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.48/0.70 WARNING:
% 0.48/0.70 |ssPv4_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 25-ary relation that occurs only positively; disabling rows that contain it.
% 0.56/0.76
% 0.56/0.76
% 0.56/0.76 #||
% 0.56/0.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.76 % SZS output start Refutation
% See solution above
% 0.61/0.81 ||#
% 0.61/0.81
% 0.61/0.81 ; Summary of computation:
% 0.61/0.81 ; 251 formulas have been input or derived (from 120 formulas).
% 0.61/0.81 ; 222 (88%) were retained. Of these,
% 0.61/0.81 ; 127 (57%) were simplified or subsumed later,
% 0.61/0.81 ; 95 (43%) are still being kept.
% 0.61/0.81 ;
% 0.61/0.81 ; Run time in seconds excluding printing time:
% 0.61/0.81 ; 0.192 64% Read assertion file (1 call)
% 0.61/0.81 ; 0.031 10% Assert (92 calls)
% 0.61/0.81 ; 0.019 6% Process new row (162 calls)
% 0.61/0.81 ; 0.007 2% Resolution (238 calls)
% 0.61/0.81 ; 0.000 0% Paramodulation (119 calls)
% 0.61/0.81 ; 0.000 0% Factoring (19 calls)
% 0.61/0.81 ; 0.001 0% Condensing (73 calls)
% 0.61/0.81 ; 0.001 0% Forward subsumption (73 calls)
% 0.61/0.81 ; 0.000 0% Backward subsumption (65 calls)
% 0.61/0.81 ; 0.000 0% Clause clause subsumption (17 calls)
% 0.61/0.81 ; 0.022 7% Forward simplification (148 calls)
% 0.61/0.81 ; 0.003 1% Backward simplification (138 calls)
% 0.61/0.81 ; 0.001 0% Ordering (55 calls)
% 0.61/0.81 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.81 ; 0.002 1% Purity testing (1 call)
% 0.61/0.81 ; 0.019 6% Other
% 0.61/0.81 ; 0.298 Total
% 0.61/0.81 ; 0.350 Real time
% 0.61/0.81 ;
% 0.61/0.81 ; Term-hash-array has 106 terms in all.
% 0.61/0.81 ; Feature-vector-row-index has 23 entries (44 at peak, 65 added, 42 deleted).
% 0.61/0.81 ; Feature-vector-row-index has 71 nodes (131 at peak, 177 added, 106 deleted).
% 0.61/0.81 ; Retrieved 13 possibly forward subsuming rows in 73 calls.
% 0.61/0.81 ; Retrieved 17 possibly backward subsumed rows in 65 calls.
% 0.61/0.81 ; Path-index has 124 entries (124 at peak, 135 added, 11 deleted).
% 0.61/0.81 ; Path-index has 1,655 nodes (1,655 at peak, 1,672 added, 17 deleted).
% 0.61/0.81 ; Trie-index has 124 entries (124 at peak, 135 added, 11 deleted).
% 0.61/0.81 ; Trie-index has 1,113 nodes (1,113 at peak, 1,216 added, 103 deleted).
% 0.61/0.81 ; Retrieved 1,320 generalization terms in 1,456 calls.
% 0.61/0.81 ; Retrieved 73 instance terms in 72 calls.
% 0.61/0.81 ; Retrieved 717 unifiable terms in 643 calls.
% 0.61/0.81 ;
% 0.61/0.81 ; The agenda of rows to process has 5 entries:
% 0.61/0.81 ; 1 with value 12 1 with value 22 1 with value 33
% 0.61/0.81 ; 1 with value 16 1 with value 23
% 0.61/0.81 ; The agenda of rows to give has 12 entries:
% 0.61/0.81 ; 1 with value (4 23) 1 with value (4 31) 1 with value (4 50)
% 0.61/0.81 ; 1 with value (4 24) 1 with value (4 33) 1 with value (4 56)
% 0.61/0.81 ; 1 with value (4 26) 1 with value (4 45) 1 with value (4 58)
% 0.61/0.81 ; 3 with value (4 30)
% 0.61/0.81 Evaluation took:
% 0.61/0.81 0.35 seconds of real time
% 0.61/0.81 0.338403 seconds of user run time
% 0.61/0.81 0.011073 seconds of system run time
% 0.61/0.81 [Run times include 0.014 seconds GC run time.]
% 0.61/0.81 0 calls to %EVAL
% 0.61/0.81 0 page faults and
% 0.61/0.81 62,026,720 bytes consed.
% 0.61/0.81 :PROOF-FOUND
% 0.61/0.81 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T22:46:20
% 0.61/0.81 :PROOF-FOUND
% 0.61/0.81 *
%------------------------------------------------------------------------------