TSTP Solution File: SYN869-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 12:05:29 EDT 2022
% Result : Unsatisfiable 0.44s 0.62s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 32
% Syntax : Number of clauses : 79 ( 31 unt; 18 nHn; 23 RR)
% Number of literals : 446 ( 0 equ; 355 neg)
% Maximal clause size : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 2 prp; 0-16 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 744 ( 328 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).
cnf(clause2,negated_conjecture,
( ~ ssNder1_0
| ssNder1_1r1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).
cnf(3,plain,
ssNder1_1r1(X),
inference('REWRITE',[status(thm)],[clause2,clause1]) ).
cnf(clause3,negated_conjecture,
( ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_2r1r1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).
cnf(5,plain,
ssNder1_2r1r1(X,Y),
inference('REWRITE',[status(thm)],[clause3,clause1,3]) ).
cnf(clause4,negated_conjecture,
( ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_3r1r1r1(X,Y,Z) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',clause14) ).
cnf(27,plain,
ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1),
inference('REWRITE',[status(thm)],[clause14,clause1,3,5,7,9,15,21]) ).
cnf(clause15,negated_conjecture,
( ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).
cnf(29,plain,
ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24),
inference('REWRITE',[status(thm)],[clause15,clause1,3,5,7,9,15,21]) ).
cnf(clause17,negated_conjecture,
( ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/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/sandbox/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(clause23,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc23)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).
cnf(45,plain,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,skc23),
inference('REWRITE',[status(thm)],[clause23,clause1,3,5,7,9,15,21,27,33,35,37,39]) ).
cnf(clause24,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)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssPv19_2r1r1(X,Y)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).
cnf(47,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssPv19_2r1r1(X,Y)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[clause24,clause1,3,5,7,9,15,21,27,33,35,37]) ).
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/sandbox/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,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
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
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).
cnf(51,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc20),
inference('REWRITE',[status(thm)],[clause26,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
cnf(clause27,negated_conjecture,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).
cnf(53,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,skc21),
inference('REWRITE',[status(thm)],[clause27,clause1,3,5,7,9,15,21,27,33,35,37,39,41]) ).
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
| ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).
cnf(57,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2),
inference('REWRITE',[status(thm)],[clause29,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49]) ).
cnf(clause31,negated_conjecture,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).
cnf(61,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,skc19),
inference('REWRITE',[status(thm)],[clause31,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49]) ).
cnf(clause32,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssPv20_1r1(X)
| ~ 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)
| ssPv18_3r1r1r1(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).
cnf(63,plain,
( ~ ssPv20_1r1(X)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv18_3r1r1r1(X,Y,Z) ),
inference('REWRITE',[status(thm)],[clause32,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49]) ).
cnf(clause33,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).
cnf(65,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2),
inference('REWRITE',[status(thm)],[clause33,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49,57]) ).
cnf(clause36,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/sandbox/benchmark/theBenchmark.p',clause36) ).
cnf(69,plain,
~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2,skc17),
inference('REWRITE',[status(thm)],[clause36,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49,57]) ).
cnf(clause37,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)
| ~ ssPv10_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)
| ~ 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)
| ~ ssPv19_2r1r1(X,Y)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).
cnf(71,plain,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssPv14_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssPv19_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[clause37,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49]) ).
cnf(clause38,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)
| ~ 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)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssPv20_1r1(X)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).
cnf(73,plain,
( ~ 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)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssPv20_1r1(X) ),
inference('REWRITE',[status(thm)],[clause38,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49]) ).
cnf(clause39,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
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y)
| ssPv20_1r1(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).
cnf(75,plain,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y)
| ssPv20_1r1(X) ),
inference('REWRITE',[status(thm)],[clause39,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49,57]) ).
cnf(clause43,negated_conjecture,
( ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssNder1_7r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1)
| ~ ssNder1_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ~ ssNder1_5r1r1r1r1r1(X,Y,Z,U,V)
| ~ ssNder1_4r1r1r1r1(X,Y,Z,U)
| ~ ssNder1_3r1r1r1(X,Y,Z)
| ~ ssNder1_2r1r1(X,Y)
| ~ ssNder1_1r1(X)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2,Z2)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv19_2r1r1(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).
cnf(79,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)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv19_2r1r1(X,Y) ),
inference('REWRITE',[status(thm)],[clause43,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49,57]) ).
cnf(clause45,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)
| ~ ssPv10_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)
| ~ ssPv18_3r1r1r1(X,Y,Z)
| ~ 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)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).
cnf(83,plain,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| ~ ssPv18_3r1r1r1(X,Y,Z)
| 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) ),
inference('REWRITE',[status(thm)],[clause45,clause1,3,5,7,9,15,21,27,33,35,37,39,41,49,57,65]) ).
cnf(90,plain,
( ssPv16_5r1r1r1r1r1(X,Y,Z,U,V)
| ssPv19_2r1r1(X,Y)
| ssPv20_1r1(X) ),
inference('HYPERRESOLVE',[status(thm)],[61,75]) ).
cnf(92,plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1)
| ssPv19_2r1r1(X,Y) ),
inference('HYPERRESOLVE',[status(thm)],[61,79]) ).
cnf(93,plain,
( ssPv19_2r1r1(X,Y)
| ssPv20_1r1(X) ),
inference('HYPERRESOLVE',[status(thm)],[13,90]) ).
cnf(94,plain,
( ssPv20_1r1(X)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24,Y1,Z1,U1)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('HYPERRESOLVE',[status(thm)],[47,93,29]) ).
cnf(95,plain,
( ssPv20_1r1(X)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('HYPERRESOLVE',[status(thm)],[71,94,51,23,93]) ).
cnf(96,plain,
ssPv20_1r1(X),
inference('HYPERRESOLVE',[status(thm)],[13,95]) ).
cnf(97,plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2,Y2)
| ssPv15_6r1r1r1r1r1r1(X,Y,Z,U,V,W)
| ssPv18_3r1r1r1(X,Y,Z) ),
inference('REWRITE',[status(thm)],[63,96]) ).
cnf(98,plain,
( ~ 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)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1) ),
inference('REWRITE',[status(thm)],[73,96]) ).
cnf(100,plain,
ssPv18_3r1r1r1(X,Y,Z),
inference('UR-RESOLVE',[status(thm)],[97,53,19]) ).
cnf(101,plain,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1)
| 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) ),
inference('REWRITE',[status(thm)],[83,100]) ).
cnf(102,plain,
~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,skc24,Y1,Z1,U1,V1),
inference('UR-RESOLVE',[status(thm)],[98,51,29]) ).
cnf(105,plain,
~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1),
inference('UR-RESOLVE',[status(thm)],[101,69,53]) ).
cnf(106,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1)
| ~ ssPv19_2r1r1(X,Y)
| ssPv16_5r1r1r1r1r1(X,Y,Z,U,V) ),
inference('REWRITE',[status(thm)],[47,105]) ).
cnf(107,plain,
~ ssPv19_2r1r1(X,Y),
inference('UR-RESOLVE',[status(thm)],[106,29,13]) ).
cnf(108,plain,
( ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1,X2)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X,Y,Z,U,V,W,X1,Y1,Z1,U1,V1,W1) ),
inference('REWRITE',[status(thm)],[92,107]) ).
cnf(109,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[108,45,102]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n012.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 17:26:58 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:26:58
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-07-11T17:26:58
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 18-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 17-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssPv11_10r1r1r1r1r1r1r1r1r1r1| is a 10-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssPv17_4r1r1r1r1| is a 4-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssPv1_20r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 20-ary relation that occurs only negatively; disabling rows that contain it.
% 0.44/0.60 WARNING:
% 0.44/0.60 |ssNder1_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1| is a 19-ary relation that occurs only positively; disabling rows that contain it.
% 0.44/0.62
% 0.44/0.62
% 0.44/0.62 #||
% 0.44/0.62 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.44/0.62 % SZS output start Refutation
% See solution above
% 0.48/0.64 ||#
% 0.48/0.64
% 0.48/0.64 ; Summary of computation:
% 0.48/0.64 ; 125 formulas have been input or derived (from 62 formulas).
% 0.48/0.64 ; 109 (87%) were retained. Of these,
% 0.48/0.64 ; 63 (58%) were simplified or subsumed later,
% 0.48/0.64 ; 46 (42%) are still being kept.
% 0.48/0.64 ;
% 0.48/0.64 ; Run time in seconds excluding printing time:
% 0.48/0.64 ; 0.083 62% Read assertion file (1 call)
% 0.48/0.64 ; 0.016 12% Assert (56 calls)
% 0.48/0.64 ; 0.002 1% Process new row (77 calls)
% 0.48/0.64 ; 0.001 1% Resolution (122 calls)
% 0.48/0.64 ; 0.000 0% Paramodulation (61 calls)
% 0.48/0.64 ; 0.000 0% Factoring (8 calls)
% 0.48/0.64 ; 0.000 0% Condensing (23 calls)
% 0.48/0.64 ; 0.000 0% Forward subsumption (23 calls)
% 0.48/0.64 ; 0.001 1% Backward subsumption (23 calls)
% 0.48/0.64 ; 0.000 0% Clause clause subsumption (4 calls)
% 0.48/0.64 ; 0.010 7% Forward simplification (65 calls)
% 0.48/0.64 ; 0.001 1% Backward simplification (65 calls)
% 0.48/0.64 ; 0.000 0% Ordering (21 calls)
% 0.48/0.64 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.64 ; 0.001 1% Purity testing (1 call)
% 0.48/0.64 ; 0.019 14% Other
% 0.48/0.64 ; 0.134 Total
% 0.48/0.64 ; 0.154 Real time
% 0.48/0.64 ;
% 0.48/0.64 ; Term-hash-array has 55 terms in all.
% 0.48/0.64 ; Feature-vector-row-index has 4 entries (12 at peak, 23 added, 19 deleted).
% 0.48/0.64 ; Feature-vector-row-index has 13 nodes (39 at peak, 70 added, 57 deleted).
% 0.48/0.64 ; Retrieved 0 possibly forward subsuming rows in 23 calls.
% 0.48/0.64 ; Retrieved 4 possibly backward subsumed rows in 23 calls.
% 0.48/0.64 ; Path-index has 66 entries (67 at peak, 76 added, 10 deleted).
% 0.48/0.64 ; Path-index has 671 nodes (672 at peak, 699 added, 28 deleted).
% 0.48/0.64 ; Trie-index has 66 entries (67 at peak, 76 added, 10 deleted).
% 0.48/0.64 ; Trie-index has 402 nodes (403 at peak, 440 added, 38 deleted).
% 0.48/0.64 ; Retrieved 428 generalization terms in 475 calls.
% 0.48/0.64 ; Retrieved 41 instance terms in 41 calls.
% 0.48/0.64 ; Retrieved 206 unifiable terms in 260 calls.
% 0.48/0.64 ;
% 0.48/0.64 ; The agenda of rows to process has 2 entries:
% 0.48/0.64 ; 1 with value 16 1 with value 17
% 0.48/0.64 ; The agenda of rows to give has 1 entry:
% 0.48/0.64 ; 1 with value (4 40)
% 0.48/0.64 Evaluation took:
% 0.48/0.64 0.155 seconds of real time
% 0.48/0.64 0.145705 seconds of user run time
% 0.48/0.64 0.009298 seconds of system run time
% 0.48/0.64 [Run times include 0.005 seconds GC run time.]
% 0.48/0.64 0 calls to %EVAL
% 0.48/0.64 0 page faults and
% 0.48/0.64 23,407,680 bytes consed.
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T17:26:58
% 0.48/0.64 :PROOF-FOUND
% 0.48/0.64 *
%------------------------------------------------------------------------------