TSTP Solution File: SYN874-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN874-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 12:05:31 EDT 2022
% Result : Unsatisfiable 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 39
% Syntax : Number of clauses : 94 ( 35 unt; 22 nHn; 29 RR)
% Number of literals : 621 ( 0 equ; 493 neg)
% Maximal clause size : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 2 prp; 0-19 aty)
% Number of functors : 11 ( 11 usr; 11 con; 0-0 aty)
% Number of variables : 1044 ( 423 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,
( ~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31)
| ~ 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,
~ ssPv16_5r1r1r1r1r1(X,Y,Z,U,skc31),
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(clause10,negated_conjecture,
( ~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause10) ).
cnf(19,plain,
~ ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,skc29),
inference('REWRITE',[status(thm)],[clause10,clause1,3,5,7,9]) ).
cnf(clause11,negated_conjecture,
( ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(21,plain,
ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W),
inference('REWRITE',[status(thm)],[clause11,clause1,3,5,7,9,15]) ).
cnf(clause12,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
| ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(23,plain,
ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26),
inference('REWRITE',[status(thm)],[clause12,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(clause16,negated_conjecture,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc25)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause16) ).
cnf(31,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc25),
inference('REWRITE',[status(thm)],[clause16,clause1,3,5,7,9,15,21]) ).
cnf(clause17,negated_conjecture,
( ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
file('/export/starexec/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
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause22) ).
cnf(43,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc22),
inference('REWRITE',[status(thm)],[clause22,clause1,3,5,7,9,15,21,27,33,35,37,39]) ).
cnf(clause24,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',clause24) ).
cnf(47,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2),
inference('REWRITE',[status(thm)],[clause24,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
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
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(49,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20),
inference('REWRITE',[status(thm)],[clause25,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
cnf(clause26,negated_conjecture,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(51,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
cnf(clause27,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',clause27) ).
cnf(53,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
inference('REWRITE',[status(thm)],[clause27,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47]) ).
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
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause28) ).
cnf(55,plain,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc18),
inference('REWRITE',[status(thm)],[clause28,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47]) ).
cnf(clause29,negated_conjecture,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(57,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19),
inference('REWRITE',[status(thm)],[clause29,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47]) ).
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,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53]) ).
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
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause32) ).
cnf(63,plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc16),
inference('REWRITE',[status(thm)],[clause32,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53]) ).
cnf(clause33,negated_conjecture,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc17)
| ~ 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,
~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc17),
inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53]) ).
cnf(clause34,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssPv20_1r1(X)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause34) ).
cnf(67,plain,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssPv20_1r1(X)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[clause34,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47]) ).
cnf(clause37,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',clause37) ).
cnf(73,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2),
inference('REWRITE',[status(thm)],[clause37,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61]) ).
cnf(clause38,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssPv20_1r1(X)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv19_2r1r1(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(75,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssPv20_1r1(X)
| ssPv19_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[clause38,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53]) ).
cnf(clause40,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',clause40) ).
cnf(79,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2),
inference('REWRITE',[status(thm)],[clause40,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73]) ).
cnf(clause43,negated_conjecture,
( ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssPv17_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(85,plain,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('REWRITE',[status(thm)],[clause43,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61]) ).
cnf(clause44,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',clause44) ).
cnf(87,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)],[clause44,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73,79]) ).
cnf(clause46,negated_conjecture,
( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssPv19_2r1r1(X,Y)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause46) ).
cnf(91,plain,
( ~ ssPv19_2r1r1(X,Y)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[clause46,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73]) ).
cnf(clause51,negated_conjecture,
( ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause51) ).
cnf(99,plain,
( ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1) ),
inference('REWRITE',[status(thm)],[clause51,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73]) ).
cnf(clause53,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)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause53) ).
cnf(103,plain,
( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[clause53,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73,79]) ).
cnf(clause54,negated_conjecture,
( ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause54) ).
cnf(105,plain,
( ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('REWRITE',[status(thm)],[clause54,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73,79]) ).
cnf(clause56,negated_conjecture,
( ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause56) ).
cnf(109,plain,
( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X) ),
inference('REWRITE',[status(thm)],[clause56,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73,79,87]) ).
cnf(clause58,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)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause58) ).
cnf(113,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2,X3)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
inference('REWRITE',[status(thm)],[clause58,clause1,3,5,7,9,15,21,27,33,35,37,39,41,47,53,61,73,79,87]) ).
cnf(124,plain,
( ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2,W2)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1) ),
inference('HYPERRESOLVE',[status(thm)],[113,23]) ).
cnf(128,plain,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X) ),
inference('HYPERRESOLVE',[status(thm)],[109,124]) ).
cnf(130,plain,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X) ),
inference('HYPERRESOLVE',[status(thm)],[51,128]) ).
cnf(131,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('HYPERRESOLVE',[status(thm)],[103,130]) ).
cnf(132,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[105,131,55]) ).
cnf(134,plain,
( ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv20_1r1(X)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[31,132]) ).
cnf(135,plain,
( ssPv20_1r1(X)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[19,134]) ).
cnf(136,plain,
( ssPv20_1r1(X)
| ssPv17_4r1r1r1r1(X,Y,Z,U) ),
inference('HYPERRESOLVE',[status(thm)],[13,135]) ).
cnf(137,plain,
( ssPv20_1r1(X)
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,skc26,X1)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W) ),
inference('HYPERRESOLVE',[status(thm)],[85,136,63,49,130]) ).
cnf(140,plain,
ssPv20_1r1(X),
inference('UR-RESOLVE',[status(thm)],[137,31,19]) ).
cnf(141,plain,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[67,140]) ).
cnf(142,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv19_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[75,140]) ).
cnf(150,plain,
~ ssPv12_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc31,V,W,X1,Y1),
inference('UR-RESOLVE',[status(thm)],[141,49,13]) ).
cnf(151,plain,
ssPv19_2r1r1(X,Y),
inference('HYPERRESOLVE',[status(thm)],[142,55,43]) ).
cnf(153,plain,
( ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,U2,V2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[91,151]) ).
cnf(163,plain,
ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,skc31,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc17,Z2),
inference('UR-RESOLVE',[status(thm)],[153,65,13]) ).
cnf(174,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[99,150,65,57]),163]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN874-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n014.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 17:24:49 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T17:24:49
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-11T17:24:49
% 0.39/0.61 WARNING:
% 0.39/0.61 |ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 20-ary relation that occurs only negatively; disabling rows that contain it.
% 0.39/0.61 WARNING:
% 0.39/0.61 |ssPv11_10r1r1r1r1r1r1r1r1r1r1| is a 10-ary relation that occurs only positively; disabling rows that contain it.
% 0.39/0.61 WARNING:
% 0.39/0.61 |ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 19-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.68 ||#
% 0.47/0.68
% 0.47/0.68 ; Summary of computation:
% 0.47/0.68 ; 195 formulas have been input or derived (from 88 formulas).
% 0.47/0.68 ; 174 (89%) were retained. Of these,
% 0.47/0.68 ; 100 (57%) were simplified or subsumed later,
% 0.47/0.68 ; 74 (43%) are still being kept.
% 0.47/0.68 ;
% 0.47/0.68 ; Run time in seconds excluding printing time:
% 0.47/0.68 ; 0.109 65% Read assertion file (1 call)
% 0.47/0.68 ; 0.014 8% Assert (66 calls)
% 0.47/0.68 ; 0.008 5% Process new row (132 calls)
% 0.47/0.68 ; 0.005 3% Resolution (174 calls)
% 0.47/0.68 ; 0.000 0% Paramodulation (87 calls)
% 0.47/0.68 ; 0.000 0% Factoring (13 calls)
% 0.47/0.68 ; 0.002 1% Condensing (66 calls)
% 0.47/0.68 ; 0.000 0% Forward subsumption (66 calls)
% 0.47/0.68 ; 0.001 1% Backward subsumption (64 calls)
% 0.47/0.68 ; 0.000 0% Clause clause subsumption (9 calls)
% 0.47/0.68 ; 0.005 3% Forward simplification (119 calls)
% 0.47/0.68 ; 0.002 1% Backward simplification (113 calls)
% 0.47/0.68 ; 0.001 1% Ordering (86 calls)
% 0.47/0.68 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.68 ; 0.001 1% Purity testing (1 call)
% 0.47/0.68 ; 0.020 12% Other
% 0.47/0.68 ; 0.168 Total
% 0.47/0.68 ; 0.198 Real time
% 0.47/0.68 ;
% 0.47/0.68 ; Term-hash-array has 79 terms in all.
% 0.47/0.68 ; Feature-vector-row-index has 25 entries (36 at peak, 64 added, 39 deleted).
% 0.47/0.68 ; Feature-vector-row-index has 76 nodes (126 at peak, 197 added, 121 deleted).
% 0.47/0.68 ; Retrieved 10 possibly forward subsuming rows in 66 calls.
% 0.47/0.68 ; Retrieved 8 possibly backward subsumed rows in 64 calls.
% 0.47/0.68 ; Path-index has 89 entries (89 at peak, 108 added, 19 deleted).
% 0.47/0.68 ; Path-index has 780 nodes (796 at peak, 823 added, 43 deleted).
% 0.47/0.68 ; Trie-index has 89 entries (89 at peak, 108 added, 19 deleted).
% 0.47/0.68 ; Trie-index has 563 nodes (573 at peak, 735 added, 172 deleted).
% 0.47/0.68 ; Retrieved 726 generalization terms in 886 calls.
% 0.47/0.68 ; Retrieved 50 instance terms in 48 calls.
% 0.47/0.68 ; Retrieved 679 unifiable terms in 485 calls.
% 0.47/0.68 ;
% 0.47/0.68 ; The agenda of rows to give has 20 entries:
% 0.47/0.68 ; 1 with value (4 13) 1 with value (4 32) 1 with value (4 54)
% 0.47/0.68 ; 1 with value (4 14) 1 with value (4 40) 1 with value (4 55)
% 0.47/0.68 ; 1 with value (4 15) 1 with value (4 46) 2 with value (4 57)
% 0.47/0.68 ; 3 with value (4 20) 1 with value (4 47) 1 with value (4 64)
% 0.47/0.68 ; 4 with value (4 22) 1 with value (4 48)
% 0.47/0.68 Evaluation took:
% 0.47/0.68 0.2 seconds of real time
% 0.47/0.68 0.193177 seconds of user run time
% 0.47/0.68 0.005977 seconds of system run time
% 0.47/0.68 [Run times include 0.007 seconds GC run time.]
% 0.47/0.68 0 calls to %EVAL
% 0.47/0.68 0 page faults and
% 0.47/0.68 35,421,936 bytes consed.
% 0.47/0.68 :PROOF-FOUND
% 0.47/0.68 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-11T17:24:49
% 0.47/0.68 :PROOF-FOUND
% 0.47/0.68 *
%------------------------------------------------------------------------------