TSTP Solution File: SYN874-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN874-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 12:29:17 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 39
% Syntax : Number of clauses : 102 ( 34 unt; 23 nHn; 102 RR)
% Number of literals : 622 ( 0 equ; 490 neg)
% Maximal clause size : 23 ( 6 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 2 prp; 0-19 aty)
% Number of functors : 31 ( 31 usr; 31 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN874-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN874-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN874-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN874-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_0
| ssNder1_4r1r1r1r1(u,v,w,x) ),
file('SYN874-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(u,v,w,x,skc30) ),
file('SYN874-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_0
| ssNder1_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN874-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28) ),
file('SYN874-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc29)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_0
| ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
file('SYN874-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_0
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26) ),
file('SYN874-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_0
| ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
file('SYN874-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24) ),
file('SYN874-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_0
| ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN874-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_0
| ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN874-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
file('SYN874-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_0
| ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
file('SYN874-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_0
| ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
file('SYN874-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_0
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
file('SYN874-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20) ),
file('SYN874-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
file('SYN874-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18) ),
file('SYN874-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0
| ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
file('SYN874-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
file('SYN874-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc17)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_0
| ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
file('SYN874-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN874-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
file('SYN874-1.p',unknown),
[] ).
cnf(43,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_0 ),
file('SYN874-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_0
| ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12) ),
file('SYN874-1.p',unknown),
[] ).
cnf(53,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_0
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN874-1.p',unknown),
[] ).
cnf(54,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN874-1.p',unknown),
[] ).
cnf(55,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13) ),
file('SYN874-1.p',unknown),
[] ).
cnf(56,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv20_1r1(u) ),
file('SYN874-1.p',unknown),
[] ).
cnf(58,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ~ ssNder1_0
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN874-1.p',unknown),
[] ).
cnf(59,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ~ ssNder1_0
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
file('SYN874-1.p',unknown),
[] ).
cnf(67,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(68,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,67,1]),
[iquote('0:MRR:3.0,3.1,67.0,1.0')] ).
cnf(69,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[4,67,68,1]),
[iquote('0:MRR:4.0,4.1,4.2,67.0,68.0,1.0')] ).
cnf(70,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[5,67,68,69,1]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,67.0,68.0,69.0,1.0')] ).
cnf(71,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,skc30),
inference(mrr,[status(thm)],[6,67,68,69,1]),
[iquote('0:MRR:6.0,6.1,6.2,6.3,67.0,68.0,69.0,1.0')] ).
cnf(72,plain,
~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
inference(mrr,[status(thm)],[7,67,69,68,1]),
[iquote('0:MRR:7.0,7.1,7.2,7.4,67.0,69.0,68.0,1.0')] ).
cnf(73,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[8,67,69,68,70,1]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,67.0,69.0,68.0,70.0,1.0')] ).
cnf(74,plain,
ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28),
inference(mrr,[status(thm)],[9,67,69,68,70,1]),
[iquote('0:MRR:9.0,9.1,9.2,9.3,9.4,67.0,69.0,68.0,70.0,1.0')] ).
cnf(75,plain,
~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc29),
inference(mrr,[status(thm)],[10,67,70,69,68,1]),
[iquote('0:MRR:10.0,10.1,10.2,10.3,10.5,67.0,70.0,69.0,68.0,1.0')] ).
cnf(76,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[11,67,70,69,68,73,1]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,67.0,70.0,69.0,68.0,73.0,1.0')] ).
cnf(77,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26),
inference(mrr,[status(thm)],[12,67,70,69,68,73,1]),
[iquote('0:MRR:12.0,12.1,12.2,12.3,12.4,12.5,67.0,70.0,69.0,68.0,73.0,1.0')] ).
cnf(79,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[14,67,73,70,69,68,76,1]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,67.0,73.0,70.0,69.0,68.0,76.0,1.0')] ).
cnf(80,plain,
ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24),
inference(mrr,[status(thm)],[15,67,73,70,69,68,76,1]),
[iquote('0:MRR:15.0,15.1,15.2,15.3,15.4,15.5,15.6,67.0,73.0,70.0,69.0,68.0,76.0,1.0')] ).
cnf(81,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
inference(mrr,[status(thm)],[16,67,76,73,70,69,68,1]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,16.5,16.7,67.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(82,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[17,67,76,73,70,69,68,79,1]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,67.0,76.0,73.0,70.0,69.0,68.0,79.0,1.0')] ).
cnf(83,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[18,67,79,76,73,70,69,68,82,1]),
[iquote('0:MRR:18.0,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,67.0,79.0,76.0,73.0,70.0,69.0,68.0,82.0,1.0')] ).
cnf(84,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[19,67,82,79,76,73,70,69,68,83,1]),
[iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,19.9,67.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,83.0,1.0')] ).
cnf(85,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[20,67,83,82,79,76,73,70,69,68,84,1]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,20.10,67.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,84.0,1.0')] ).
cnf(86,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[21,67,84,83,82,79,76,73,70,69,68,85,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,21.11,67.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,85.0,1.0')] ).
cnf(89,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[24,67,85,84,83,82,79,76,73,70,69,68,86,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.11,24.12,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,86.0,1.0')] ).
cnf(90,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[25,67,85,84,83,82,79,76,73,70,69,68,86,1]),
[iquote('0:MRR:25.0,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,25.10,25.11,25.12,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,86.0,1.0')] ).
cnf(91,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[26,67,86,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:26.0,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,26.10,26.11,26.13,67.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(92,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[27,67,86,85,84,83,82,79,76,73,70,69,68,89,1]),
[iquote('0:MRR:27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,27.10,27.11,27.12,27.13,67.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,89.0,1.0')] ).
cnf(93,plain,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18),
inference(mrr,[status(thm)],[28,67,86,85,84,83,82,79,76,73,70,69,68,89,1]),
[iquote('0:MRR:28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,28.10,28.11,28.12,28.13,67.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,89.0,1.0')] ).
cnf(96,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[31,67,89,86,85,84,83,82,79,76,73,70,69,68,92,1]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,31.13,31.14,67.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,92.0,1.0')] ).
cnf(97,plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16),
inference(mrr,[status(thm)],[32,67,89,86,85,84,83,82,79,76,73,70,69,68,92,1]),
[iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,32.10,32.11,32.12,32.13,32.14,67.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,92.0,1.0')] ).
cnf(98,plain,
~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc17),
inference(mrr,[status(thm)],[33,67,92,89,86,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:33.0,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,33.10,33.11,33.12,33.13,33.15,67.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(102,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10),
inference(mrr,[status(thm)],[37,67,92,89,86,85,84,83,82,79,76,73,70,69,68,96,1]),
[iquote('0:MRR:37.0,37.1,37.2,37.3,37.4,37.5,37.6,37.7,37.8,37.9,37.10,37.11,37.12,37.13,37.14,37.15,67.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,96.0,1.0')] ).
cnf(104,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[39,67,89,86,85,84,83,82,79,76,73,70,69,68,96,92,1]),
[iquote('0:MRR:39.1,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.10,39.11,39.12,39.13,39.14,39.15,39.16,39.17,67.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,96.0,92.0,1.0')] ).
cnf(105,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11),
inference(mrr,[status(thm)],[40,67,96,92,89,86,85,84,83,82,79,76,73,70,69,68,102,1]),
[iquote('0:MRR:40.0,40.1,40.2,40.3,40.4,40.5,40.6,40.7,40.8,40.9,40.10,40.11,40.12,40.13,40.14,40.15,40.16,67.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,102.0,1.0')] ).
cnf(108,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[43,67,92,89,86,85,84,83,82,79,76,73,70,69,68,96,1]),
[iquote('0:MRR:43.0,43.3,43.4,43.6,43.7,43.8,43.9,43.10,43.11,43.12,43.13,43.15,43.16,43.17,43.18,43.19,67.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,96.0,1.0')] ).
cnf(109,plain,
ssNder1_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12),
inference(mrr,[status(thm)],[44,67,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,105,1]),
[iquote('0:MRR:44.0,44.1,44.2,44.3,44.4,44.5,44.6,44.7,44.8,44.9,44.10,44.11,44.12,44.13,44.14,44.15,44.16,44.17,67.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,105.0,1.0')] ).
cnf(118,plain,
( ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12) ),
inference(mrr,[status(thm)],[53,67,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,105,1]),
[iquote('0:MRR:53.0,53.1,53.2,53.3,53.4,53.6,53.7,53.8,53.9,53.10,53.11,53.12,53.13,53.14,53.15,53.16,53.17,53.18,67.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,105.0,1.0')] ).
cnf(119,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(mrr,[status(thm)],[54,67,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,105,1]),
[iquote('0:MRR:54.0,54.2,54.4,54.5,54.6,54.7,54.8,54.9,54.10,54.11,54.12,54.13,54.14,54.15,54.16,54.17,54.18,54.19,67.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,105.0,1.0')] ).
cnf(120,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13) ),
inference(mrr,[status(thm)],[55,67,105,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,109,1]),
[iquote('0:MRR:55.0,55.1,55.2,55.3,55.4,55.5,55.6,55.7,55.8,55.9,55.10,55.11,55.13,55.15,55.17,55.18,55.19,55.20,55.21,67.0,105.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,109.0,1.0')] ).
cnf(121,plain,
( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ssPv20_1r1(u)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[56,67,105,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,109,1]),
[iquote('0:MRR:56.0,56.2,56.3,56.4,56.5,56.6,56.7,56.8,56.9,56.10,56.11,56.12,56.13,56.14,56.15,56.16,56.17,56.18,56.19,67.0,105.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,109.0,1.0')] ).
cnf(123,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13) ),
inference(mrr,[status(thm)],[58,67,105,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,109,1]),
[iquote('0:MRR:58.0,58.1,58.2,58.3,58.4,58.5,58.6,58.7,58.8,58.9,58.10,58.12,58.13,58.14,58.15,58.16,58.17,58.18,58.19,67.0,105.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,109.0,1.0')] ).
cnf(124,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[59,67,105,102,96,92,89,86,85,84,83,82,79,76,73,70,69,68,109,1]),
[iquote('0:MRR:59.1,59.2,59.3,59.4,59.5,59.6,59.7,59.8,59.9,59.10,59.12,59.13,59.14,59.15,59.16,59.17,59.18,59.19,59.21,67.0,105.0,102.0,96.0,92.0,89.0,86.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,109.0,1.0')] ).
cnf(136,plain,
( ~ ssPv20_1r1(u)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(res,[status(thm),theory(equality)],[74,104]),
[iquote('0:Res:74.0,104.1')] ).
cnf(137,plain,
( ~ ssPv20_1r1(u)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[136,98]),
[iquote('0:Res:136.2,98.0')] ).
cnf(142,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12) ),
inference(res,[status(thm),theory(equality)],[74,120]),
[iquote('0:Res:74.0,120.2')] ).
cnf(143,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(res,[status(thm),theory(equality)],[71,142]),
[iquote('0:Res:71.0,142.1')] ).
cnf(145,plain,
( ~ ssPv20_1r1(u)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(res,[status(thm),theory(equality)],[137,143]),
[iquote('0:Res:137.1,143.0')] ).
cnf(153,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[145,124]),
[iquote('0:Res:145.1,124.2')] ).
cnf(154,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(obv,[status(thm),theory(equality)],[153]),
[iquote('0:Obv:153.0')] ).
cnf(155,plain,
( ~ ssPv20_1r1(u)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,skc24,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[80,154]),
[iquote('0:Res:80.0,154.1')] ).
cnf(156,plain,
~ ssPv20_1r1(u),
inference(res,[status(thm),theory(equality)],[155,98]),
[iquote('0:Res:155.1,98.0')] ).
cnf(159,plain,
( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[121,156]),
[iquote('0:MRR:121.1,156.0')] ).
cnf(161,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12) ),
inference(res,[status(thm),theory(equality)],[77,123]),
[iquote('0:Res:77.0,123.0')] ).
cnf(162,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[161,159]),
[iquote('0:Res:161.2,159.0')] ).
cnf(163,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[162,91]),
[iquote('0:Res:162.3,91.0')] ).
cnf(166,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(res,[status(thm),theory(equality)],[163,118]),
[iquote('0:Res:163.1,118.0')] ).
cnf(169,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(obv,[status(thm),theory(equality)],[166]),
[iquote('0:Obv:166.1')] ).
cnf(170,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[97,108]),
[iquote('0:Res:97.0,108.3')] ).
cnf(171,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[90,170]),
[iquote('0:Res:90.0,170.2')] ).
cnf(172,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[163,171]),
[iquote('0:Res:163.1,171.1')] ).
cnf(174,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[169,119]),
[iquote('0:Res:169.3,119.1')] ).
cnf(175,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(obv,[status(thm),theory(equality)],[174]),
[iquote('0:Obv:174.3')] ).
cnf(176,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(mrr,[status(thm)],[175,172]),
[iquote('0:MRR:175.3,172.0')] ).
cnf(177,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[93,176]),
[iquote('0:Res:93.0,176.0')] ).
cnf(178,plain,
( ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[177,81]),
[iquote('0:Res:177.0,81.0')] ).
cnf(180,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,y),
inference(res,[status(thm),theory(equality)],[178,75]),
[iquote('0:Res:178.1,75.0')] ).
cnf(182,plain,
$false,
inference(unc,[status(thm)],[180,72]),
[iquote('0:UnC:180.0,72.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN874-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n020.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 17:25:42 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 40 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses.
% 0.20/0.49 SPASS allocated 76239 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.49 0:00:00.05 for the input.
% 0.20/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.05 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 8, length 102 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause9 clause10 clause11 clause12 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause24 clause25 clause26 clause27 clause28 clause31 clause32 clause33 clause37 clause39 clause40 clause43 clause44 clause53 clause54 clause55 clause56 clause58 clause59
% 0.20/0.49
%------------------------------------------------------------------------------