TSTP Solution File: SYN896-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN896-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 12:07:13 EDT 2022
% Result : Unsatisfiable 0.60s 0.79s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 47
% Syntax : Number of clauses : 104 ( 43 unt; 20 nHn; 24 RR)
% Number of literals : 853 ( 0 equ; 735 neg)
% Maximal clause size : 30 ( 8 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 43 ( 42 usr; 2 prp; 0-26 aty)
% Number of functors : 12 ( 12 usr; 12 con; 0-0 aty)
% Number of variables : 1515 ( 681 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( ~ ssNder1_0
| ssNder1_1r1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(3,plain,
ssNder1_1r1(X),
inference('REWRITE',[status(thm)],[clause2,clause1]) ).
cnf(clause3,negated_conjecture,
( ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_2r1r1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(5,plain,
ssNder1_2r1r1(X,Y),
inference('REWRITE',[status(thm)],[clause3,clause1,3]) ).
cnf(clause4,negated_conjecture,
( ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_3r1r1r1(X,Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(7,plain,
ssNder1_3r1r1r1(X,Y,Z),
inference('REWRITE',[status(thm)],[clause4,clause1,3,5]) ).
cnf(clause5,negated_conjecture,
( ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_4r1r1r1r1(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(9,plain,
ssNder1_4r1r1r1r1(X,Y,Z,U),
inference('REWRITE',[status(thm)],[clause5,clause1,3,5,7]) ).
cnf(clause6,negated_conjecture,
( ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv24_5r1r1r1r1r1(X,Y,Z,U,skc46) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause6) ).
cnf(11,plain,
ssPv24_5r1r1r1r1r1(X,Y,Z,U,skc46),
inference('REWRITE',[status(thm)],[clause6,clause1,3,5,7]) ).
cnf(clause8,negated_conjecture,
( ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(15,plain,
ssNder1_5r1r1r1r1r1(X,Y,Z,U,V),
inference('REWRITE',[status(thm)],[clause8,clause1,3,5,7,9]) ).
cnf(clause9,negated_conjecture,
( ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| 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(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(clause21,negated_conjecture,
( ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
cnf(41,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1),
inference('REWRITE',[status(thm)],[clause21,clause1,3,5,7,9,15,21,27,33,35,37]) ).
cnf(clause22,negated_conjecture,
( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(43,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1),
inference('REWRITE',[status(thm)],[clause22,clause1,3,5,7,9,15,21,27,33,35,37,41]) ).
cnf(clause23,negated_conjecture,
( ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc38) ),
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,skc38),
inference('REWRITE',[status(thm)],[clause23,clause1,3,5,7,9,15,21,27,33,35,37,41]) ).
cnf(clause25,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(49,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
inference('REWRITE',[status(thm)],[clause25,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).
cnf(clause26,negated_conjecture,
( ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc36) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(51,plain,
ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc36),
inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,37,41,43]) ).
cnf(clause28,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
cnf(55,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
inference('REWRITE',[status(thm)],[clause28,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).
cnf(clause29,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',clause29) ).
cnf(57,plain,
ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc34),
inference('REWRITE',[status(thm)],[clause29,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).
cnf(clause30,negated_conjecture,
( ~ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc35)
| ~ 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',clause30) ).
cnf(59,plain,
~ ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc35),
inference('REWRITE',[status(thm)],[clause30,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49]) ).
cnf(clause31,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',clause31) ).
cnf(61,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
inference('REWRITE',[status(thm)],[clause31,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).
cnf(clause32,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',clause32) ).
cnf(63,plain,
ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc32),
inference('REWRITE',[status(thm)],[clause32,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).
cnf(clause33,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',clause33) ).
cnf(65,plain,
~ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc33),
inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55]) ).
cnf(clause34,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',clause34) ).
cnf(67,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
inference('REWRITE',[status(thm)],[clause34,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61]) ).
cnf(clause35,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',clause35) ).
cnf(69,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
inference('REWRITE',[status(thm)],[clause35,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67]) ).
cnf(clause36,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv13_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ 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)
| ~ ssPv24_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
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
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,U2)
| ~ ssPv24_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
inference('REWRITE',[status(thm)],[clause36,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61]) ).
cnf(clause37,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',clause37) ).
cnf(73,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)],[clause37,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69]) ).
cnf(clause39,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',clause39) ).
cnf(77,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)],[clause39,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73]) ).
cnf(clause41,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',clause41) ).
cnf(81,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)],[clause41,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77]) ).
cnf(clause42,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
| ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,skc30) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause42) ).
cnf(83,plain,
ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,skc30),
inference('REWRITE',[status(thm)],[clause42,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77]) ).
cnf(clause45,negated_conjecture,
( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ 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)
| ~ ssPv20_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
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause45) ).
cnf(89,plain,
( ~ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssPv16_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
inference('REWRITE',[status(thm)],[clause45,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73]) ).
cnf(clause46,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',clause46) ).
cnf(91,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)],[clause46,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81]) ).
cnf(clause50,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)
| ~ 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)
| ~ 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)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause50) ).
cnf(99,plain,
( ~ 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)
| ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
inference('REWRITE',[status(thm)],[clause50,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77]) ).
cnf(clause51,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',clause51) ).
cnf(101,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)],[clause51,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91]) ).
cnf(clause52,negated_conjecture,
( ~ ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ 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)
| ~ 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)
| ~ 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 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause52) ).
cnf(103,plain,
( ~ ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ 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)
| ~ ssPv23_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
inference('REWRITE',[status(thm)],[clause52,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77]) ).
cnf(clause59,negated_conjecture,
( ~ ssNder1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3)
| ~ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ~ 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
| ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause59) ).
cnf(117,plain,
( ~ ssPv8_21r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3)
| ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
inference('REWRITE',[status(thm)],[clause59,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81]) ).
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
| 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',clause60) ).
cnf(119,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)],[clause60,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101]) ).
cnf(clause61,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',clause61) ).
cnf(121,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)],[clause61,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101]) ).
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,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101]) ).
cnf(clause66,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)
| ~ 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_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause66) ).
cnf(131,plain,
ssNder1_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),
inference('REWRITE',[status(thm)],[clause66,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119]) ).
cnf(clause70,negated_conjecture,
( ~ ssNder1_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_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)
| ~ 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_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause70) ).
cnf(139,plain,
ssNder1_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4),
inference('REWRITE',[status(thm)],[clause70,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119,131]) ).
cnf(clause71,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)
| ~ 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)
| ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssPv24_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
| 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)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause71) ).
cnf(141,plain,
( ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssPv24_5r1r1r1r1r1(X,Y,Z,U,V)
| 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)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
inference('REWRITE',[status(thm)],[clause71,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119]) ).
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)
| ~ 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)
| ~ ssPv24_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
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause73) ).
cnf(145,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)
| ~ ssPv24_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
inference('REWRITE',[status(thm)],[clause73,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119]) ).
cnf(clause84,negated_conjecture,
( ~ ssNder1_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4)
| ~ ssNder1_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_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)
| ~ 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)
| ~ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv3_26r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause84) ).
cnf(167,plain,
( ~ ssPv15_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ssPv3_26r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1) ),
inference('REWRITE',[status(thm)],[clause84,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119,131,139]) ).
cnf(clause89,negated_conjecture,
( ~ ssNder1_25r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4)
| ~ ssPv3_26r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4)
| ~ ssNder1_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_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)
| ~ 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)
| ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv13_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) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause89) ).
cnf(177,plain,
( ~ ssPv3_26r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3,V3,W3,X4,Y4)
| ~ ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ssPv13_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) ),
inference('REWRITE',[status(thm)],[clause89,clause1,3,5,7,9,15,21,27,33,35,37,41,43,49,55,61,67,69,73,77,81,91,101,119,131,139]) ).
cnf(194,plain,
( ssPv17_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1,Z1,U1,V1)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1,Z1,U1) ),
inference('HYPERRESOLVE',[status(thm)],[71,63,11]) ).
cnf(196,plain,
( ssPv11_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1) ),
inference('HYPERRESOLVE',[status(thm)],[145,121,11]) ).
cnf(197,plain,
( ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv14_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1) ),
inference('HYPERRESOLVE',[status(thm)],[117,83]) ).
cnf(200,plain,
( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1,Z1,U1)
| ssPv9_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc34,Y2,Z2,U2,V2,W2)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,skc46,V,W) ),
inference('HYPERRESOLVE',[status(thm)],[99,194,57]) ).
cnf(210,plain,
( ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V,W,X1,Y1,Z1)
| ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V,W,X1) ),
inference('HYPERRESOLVE',[status(thm)],[103,200,196,63,17]) ).
cnf(213,plain,
( ssPv22_7r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V)
| ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V,W,X1)
| ssPv5_24r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3,U3) ),
inference('HYPERRESOLVE',[status(thm)],[141,210,11]) ).
cnf(216,plain,
ssPv20_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,skc43,V,W),
inference('UR-RESOLVE',[status(thm)],[213,25,123]) ).
cnf(218,plain,
~ ssPv10_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,skc43,V,W,X1,Y1,Z1,skc38,U1,skc35,V1,W1,X2,Y2),
inference('UR-RESOLVE',[status(thm)],[89,216,45,59]) ).
cnf(222,plain,
ssPv18_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,skc43,V,W,X1,Y1),
inference('UR-RESOLVE',[status(thm)],[197,218,59]) ).
cnf(226,plain,
~ ssPv3_26r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc46,skc44,skc43,V,W,X1,Y1,Z1,U1,V1,skc35,skc33,W1,X2,Y2,Z2,U2,V2,W2,X3,Y3,Z3),
inference('UR-RESOLVE',[status(thm)],[177,222,65,59]) ).
cnf(228,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[167,226,51,222,25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SYN896-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n020.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 01:49:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:49:27
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-12T01:49:27
% 0.54/0.72 WARNING:
% 0.54/0.72 |ssPv2_27r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 27-ary relation that occurs only positively; disabling rows that contain it.
% 0.60/0.79
% 0.60/0.79
% 0.60/0.79 #||
% 0.60/0.79 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.60/0.79 % SZS output start Refutation
% See solution above
% 0.60/0.85 ||#
% 0.60/0.85
% 0.60/0.85 ; Summary of computation:
% 0.60/0.85 ; 253 formulas have been input or derived (from 116 formulas).
% 0.60/0.85 ; 228 (90%) were retained. Of these,
% 0.60/0.85 ; 101 (44%) were simplified or subsumed later,
% 0.60/0.85 ; 127 (56%) are still being kept.
% 0.60/0.85 ;
% 0.60/0.85 ; Run time in seconds excluding printing time:
% 0.60/0.85 ; 0.205 62% Read assertion file (1 call)
% 0.60/0.85 ; 0.047 14% Assert (102 calls)
% 0.60/0.85 ; 0.008 2% Process new row (153 calls)
% 0.60/0.85 ; 0.005 2% Resolution (230 calls)
% 0.60/0.85 ; 0.000 0% Paramodulation (115 calls)
% 0.60/0.85 ; 0.000 0% Factoring (11 calls)
% 0.60/0.85 ; 0.007 2% Condensing (71 calls)
% 0.60/0.85 ; 0.001 0% Forward subsumption (71 calls)
% 0.60/0.85 ; 0.001 0% Backward subsumption (71 calls)
% 0.60/0.85 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.60/0.85 ; 0.032 10% Forward simplification (145 calls)
% 0.60/0.85 ; 0.000 0% Backward simplification (132 calls)
% 0.60/0.85 ; 0.000 0% Ordering (83 calls)
% 0.60/0.85 ; 0.000 0% Sortal reasoning (32 calls)
% 0.60/0.85 ; 0.002 1% Purity testing (1 call)
% 0.60/0.85 ; 0.020 6% Other
% 0.60/0.85 ; 0.328 Total
% 0.60/0.85 ; 0.388 Real time
% 0.60/0.85 ;
% 0.60/0.85 ; Term-hash-array has 121 terms in all.
% 0.60/0.85 ; Feature-vector-row-index has 67 entries (67 at peak, 71 added, 4 deleted).
% 0.60/0.85 ; Feature-vector-row-index has 209 nodes (209 at peak, 227 added, 18 deleted).
% 0.60/0.85 ; Retrieved 8 possibly forward subsuming rows in 71 calls.
% 0.60/0.85 ; Retrieved 4 possibly backward subsumed rows in 71 calls.
% 0.60/0.85 ; Path-index has 143 entries (143 at peak, 149 added, 6 deleted).
% 0.60/0.85 ; Path-index has 1,668 nodes (1,668 at peak, 1,673 added, 5 deleted).
% 0.60/0.85 ; Trie-index has 143 entries (143 at peak, 149 added, 6 deleted).
% 0.60/0.85 ; Trie-index has 1,272 nodes (1,272 at peak, 1,327 added, 55 deleted).
% 0.60/0.85 ; Retrieved 1,664 generalization terms in 1,818 calls.
% 0.60/0.85 ; Retrieved 61 instance terms in 60 calls.
% 0.60/0.85 ; Retrieved 802 unifiable terms in 674 calls.
% 0.60/0.85 ;
% 0.60/0.85 ; The agenda of rows to process has 4 entries:
% 0.60/0.85 ; 2 with value 18 1 with value 22 1 with value 25
% 0.60/0.85 ; The agenda of rows to give has 15 entries:
% 0.60/0.85 ; 1 with value (4 36) 1 with value (4 62) 1 with value (4 76)
% 0.60/0.85 ; 1 with value (4 45) 1 with value (4 66) 1 with value (4 78)
% 0.60/0.85 ; 1 with value (4 51) 1 with value (4 68) 1 with value (4 84)
% 0.60/0.85 ; 1 with value (4 52) 1 with value (4 72) 1 with value (4 87)
% 0.60/0.85 ; 3 with value (4 53)
% 0.60/0.85 Evaluation took:
% 0.60/0.85 0.389 seconds of real time
% 0.60/0.85 0.376642 seconds of user run time
% 0.60/0.85 0.011994 seconds of system run time
% 0.60/0.85 [Run times include 0.028 seconds GC run time.]
% 0.60/0.85 0 calls to %EVAL
% 0.60/0.85 0 page faults and
% 0.60/0.85 66,319,768 bytes consed.
% 0.60/0.85 :PROOF-FOUND
% 0.60/0.85 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-12T01:49:28
% 0.60/0.85 :PROOF-FOUND
% 0.60/0.85 *
%------------------------------------------------------------------------------