%------------------------------------------------------------------------------
% File : CSE_E---1.7
% Problem : SYN869-1 : TPTP v9.2.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% Computer : n021.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 : 300s
% DateTime : Tue May 5 05:48:24 PM UTC 2026
% Result : Unsatisfiable 1.29s 1.74s
% Output : CNFRefutation 1.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 29
% Number of leaves : 26
% Syntax : Number of clauses : 97 ( 26 unt; 18 nHn; 26 RR)
% Number of literals : 625 ( 0 equ; 515 neg)
% Maximal clause size : 19 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 2 prp; 0-15 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 845 ( 300 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(clause2,negated_conjecture,
( ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause2) ).
cnf(clause1,negated_conjecture,
ssNder1_0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause1) ).
cnf(clause3,negated_conjecture,
( ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause3) ).
cnf(clause4,negated_conjecture,
( ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause4) ).
cnf(clause5,negated_conjecture,
( ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause5) ).
cnf(clause8,negated_conjecture,
( ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause8) ).
cnf(clause11,negated_conjecture,
( ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause11) ).
cnf(clause14,negated_conjecture,
( ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause14) ).
cnf(clause17,negated_conjecture,
( ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause17) ).
cnf(clause18,negated_conjecture,
( ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause18) ).
cnf(clause19,negated_conjecture,
( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause19) ).
cnf(clause20,negated_conjecture,
( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause20) ).
cnf(clause21,negated_conjecture,
( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause21) ).
cnf(clause25,negated_conjecture,
( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause25) ).
cnf(clause29,negated_conjecture,
( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause29) ).
cnf(clause31,negated_conjecture,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause31) ).
cnf(clause39,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ssPv19_2r1r1(X1,X2)
| ssPv20_1r1(X1)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause39) ).
cnf(clause24,negated_conjecture,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause24) ).
cnf(clause15,negated_conjecture,
( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause15) ).
cnf(clause7,negated_conjecture,
( ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc31)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause7) ).
cnf(clause37,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause37) ).
cnf(clause26,negated_conjecture,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc20)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause26) ).
cnf(clause12,negated_conjecture,
( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc26)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause12) ).
cnf(clause38,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssPv20_1r1(X1)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause38) ).
cnf(clause23,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc23)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause23) ).
cnf(clause43,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv19_2r1r1(X1,X2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause43) ).
cnf(c_0_26,negated_conjecture,
( ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause2 ).
cnf(c_0_27,negated_conjecture,
ssNder1_0,
clause1 ).
cnf(c_0_28,negated_conjecture,
( ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause3 ).
cnf(c_0_29,negated_conjecture,
ssNder1_1r1(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_26,c_0_27])]) ).
cnf(c_0_30,negated_conjecture,
( ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause4 ).
cnf(c_0_31,negated_conjecture,
ssNder1_2r1r1(X1,X2),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_27]),c_0_29])]) ).
cnf(c_0_32,negated_conjecture,
( ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause5 ).
cnf(c_0_33,negated_conjecture,
ssNder1_3r1r1r1(X1,X2,X3),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_30,c_0_27]),c_0_29]),c_0_31])]) ).
cnf(c_0_34,negated_conjecture,
( ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause8 ).
cnf(c_0_35,negated_conjecture,
ssNder1_4r1r1r1r1(X1,X2,X3,X4),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_32,c_0_27]),c_0_29]),c_0_31]),c_0_33])]) ).
cnf(c_0_36,negated_conjecture,
( ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause11 ).
cnf(c_0_37,negated_conjecture,
ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_34,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35])]) ).
cnf(c_0_38,negated_conjecture,
( ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause14 ).
cnf(c_0_39,negated_conjecture,
ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_36,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37])]) ).
cnf(c_0_40,negated_conjecture,
( ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause17 ).
cnf(c_0_41,negated_conjecture,
ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_38,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39])]) ).
cnf(c_0_42,negated_conjecture,
( ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause18 ).
cnf(c_0_43,negated_conjecture,
ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_40,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41])]) ).
cnf(c_0_44,negated_conjecture,
( ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause19 ).
cnf(c_0_45,negated_conjecture,
ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_42,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43])]) ).
cnf(c_0_46,negated_conjecture,
( ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause20 ).
cnf(c_0_47,negated_conjecture,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_44,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45])]) ).
cnf(c_0_48,negated_conjecture,
( ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause21 ).
cnf(c_0_49,negated_conjecture,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_46,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47])]) ).
cnf(c_0_50,negated_conjecture,
( ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause25 ).
cnf(c_0_51,negated_conjecture,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_48,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49])]) ).
cnf(c_0_52,negated_conjecture,
( ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause29 ).
cnf(c_0_53,negated_conjecture,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_50,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51])]) ).
cnf(c_0_54,negated_conjecture,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause31 ).
cnf(c_0_55,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ssPv19_2r1r1(X1,X2)
| ssPv20_1r1(X1)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause39 ).
cnf(c_0_56,negated_conjecture,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_52,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53])]) ).
cnf(c_0_57,negated_conjecture,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause24 ).
cnf(c_0_58,negated_conjecture,
( ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause15 ).
cnf(c_0_59,negated_conjecture,
( ~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc31)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause7 ).
cnf(c_0_60,negated_conjecture,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,skc19),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_54,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53])]) ).
cnf(c_0_61,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv20_1r1(X1)
| ssPv19_2r1r1(X1,X2)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_55,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53]),c_0_56])]) ).
cnf(c_0_62,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause37 ).
cnf(c_0_63,negated_conjecture,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc20)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause26 ).
cnf(c_0_64,negated_conjecture,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_57,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47])]) ).
cnf(c_0_65,negated_conjecture,
ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_58,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39])]) ).
cnf(c_0_66,negated_conjecture,
~ ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,skc31),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_59,c_0_27]),c_0_29]),c_0_31]),c_0_33])]) ).
cnf(c_0_67,negated_conjecture,
( ssPv20_1r1(X1)
| ssPv19_2r1r1(X1,X2)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_60,c_0_61]) ).
cnf(c_0_68,negated_conjecture,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_62,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53])]) ).
cnf(c_0_69,negated_conjecture,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,skc20),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_63,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51])]) ).
cnf(c_0_70,negated_conjecture,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24,X8,X9,X10)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssPv19_2r1r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_64,c_0_65]) ).
cnf(c_0_71,negated_conjecture,
( ssPv20_1r1(X1)
| ssPv19_2r1r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_66,c_0_67]) ).
cnf(c_0_72,negated_conjecture,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv19_2r1r1(X1,X2)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_68,c_0_69]) ).
cnf(c_0_73,negated_conjecture,
( ssPv20_1r1(X1)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24,X8,X9,X10)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_70,c_0_71]) ).
cnf(c_0_74,negated_conjecture,
( ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc26)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause12 ).
cnf(c_0_75,negated_conjecture,
( ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssPv20_1r1(X1)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause38 ).
cnf(c_0_76,negated_conjecture,
( ssPv20_1r1(X1)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_72,c_0_73]),c_0_71]) ).
cnf(c_0_77,negated_conjecture,
ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,skc26),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_74,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37])]) ).
cnf(c_0_78,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc23)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause23 ).
cnf(c_0_79,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv19_2r1r1(X1,X2)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8)
| ~ ssNder1_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7)
| ~ ssNder1_6r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6)
| ~ ssNder1_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssNder1_4r1r1r1r1(X1,X2,X3,X4)
| ~ ssNder1_3r1r1r1(X1,X2,X3)
| ~ ssNder1_2r1r1(X1,X2)
| ~ ssNder1_1r1(X1)
| ~ ssNder1_0 ),
clause43 ).
cnf(c_0_80,negated_conjecture,
( ~ ssPv20_1r1(X1)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_75,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53])]) ).
cnf(c_0_81,negated_conjecture,
( ssPv20_1r1(X1)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
inference(spm,[status(thm)],[c_0_76,c_0_77]) ).
cnf(c_0_82,negated_conjecture,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc23)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_78,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47])]) ).
cnf(c_0_83,negated_conjecture,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14,X15)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv19_2r1r1(X1,X2)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_79,c_0_27]),c_0_29]),c_0_31]),c_0_33]),c_0_35]),c_0_37]),c_0_39]),c_0_41]),c_0_43]),c_0_45]),c_0_47]),c_0_49]),c_0_51]),c_0_53]),c_0_56])]) ).
cnf(c_0_84,negated_conjecture,
( ~ ssPv20_1r1(X1)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(spm,[status(thm)],[c_0_80,c_0_69]) ).
cnf(c_0_85,negated_conjecture,
ssPv20_1r1(X1),
inference(spm,[status(thm)],[c_0_66,c_0_81]) ).
cnf(c_0_86,negated_conjecture,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,skc23),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_82,c_0_49])]) ).
cnf(c_0_87,negated_conjecture,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv19_2r1r1(X1,X2)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13) ),
inference(spm,[status(thm)],[c_0_60,c_0_83]) ).
cnf(c_0_88,negated_conjecture,
( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_84,c_0_85])]) ).
cnf(c_0_89,negated_conjecture,
( ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12)
| ssPv19_2r1r1(X1,X2) ),
inference(spm,[status(thm)],[c_0_86,c_0_87]) ).
cnf(c_0_90,negated_conjecture,
( ssPv19_2r1r1(X1,X2)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8) ),
inference(spm,[status(thm)],[c_0_88,c_0_89]) ).
cnf(c_0_91,negated_conjecture,
ssPv19_2r1r1(X1,X2),
inference(spm,[status(thm)],[c_0_90,c_0_65]) ).
cnf(c_0_92,negated_conjecture,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_72,c_0_91])]) ).
cnf(c_0_93,negated_conjecture,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7,skc24,X8,X9,X10)
| ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_70,c_0_91])]) ).
cnf(c_0_94,negated_conjecture,
( ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5)
| ~ ssPv14_7r1r1r1r1r1r1r1(X1,X2,X3,X4,X5,X6,X7) ),
inference(spm,[status(thm)],[c_0_92,c_0_93]) ).
cnf(c_0_95,negated_conjecture,
ssPv16_5r1r1r1r1r1(X1,X2,X3,X4,X5),
inference(spm,[status(thm)],[c_0_94,c_0_77]) ).
cnf(c_0_96,negated_conjecture,
$false,
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_66,c_0_95])]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.14 % Problem : SYN869-1 : TPTP v9.2.1. Released v2.5.0.
% 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox2/solver/bin/cse --final-prover /export/starexec/sandbox2/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 5 08:49:25 EDT 2026
% 0.14/0.35 % CPUTime :
% 0.18/0.36 % start to proof: theBenchmark
% 1.29/1.74 % Version : CSE_E---1.7
% 1.29/1.74 % Problem : theBenchmark.p
% 1.29/1.74 % SZS status Unsatisfiable for theBenchmark.p
% 1.29/1.74 % SZS output start CNFRefutation
% See solution above
% 1.29/1.74 % Total time : 1.372s
%------------------------------------------------------------------------------