%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN875-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 12:29:18 EDT 2022
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 43
% Syntax : Number of clauses : 116 ( 39 unt; 28 nHn; 116 RR)
% Number of literals : 679 ( 0 equ; 536 neg)
% Maximal clause size : 22 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 36 ( 35 usr; 2 prp; 0-18 aty)
% Number of functors : 32 ( 32 usr; 32 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN875-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN875-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN875-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.p',unknown),
[] ).
cnf(13,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)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc27)
| ~ ssNder1_0 ),
file('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.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('SYN875-1.p',unknown),
[] ).
cnf(21,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
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv20_1r1(u) ),
file('SYN875-1.p',unknown),
[] ).
cnf(22,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('SYN875-1.p',unknown),
[] ).
cnf(23,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
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22) ),
file('SYN875-1.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)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23)
| ~ ssNder1_0 ),
file('SYN875-1.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
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
file('SYN875-1.p',unknown),
[] ).
cnf(26,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('SYN875-1.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)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
| ~ ssNder1_0 ),
file('SYN875-1.p',unknown),
[] ).
cnf(29,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('SYN875-1.p',unknown),
[] ).
cnf(30,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('SYN875-1.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)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19)
| ~ ssNder1_0 ),
file('SYN875-1.p',unknown),
[] ).
cnf(32,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)
| ~ 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_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_0
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv18_3r1r1r1(u,v,w) ),
file('SYN875-1.p',unknown),
[] ).
cnf(34,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('SYN875-1.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)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc17)
| ~ ssNder1_0 ),
file('SYN875-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ 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)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ 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)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0 ),
file('SYN875-1.p',unknown),
[] ).
cnf(41,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('SYN875-1.p',unknown),
[] ).
cnf(42,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)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ 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)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
file('SYN875-1.p',unknown),
[] ).
cnf(43,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)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ 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
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv19_2r1r1(u,v) ),
file('SYN875-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ 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)
| ~ ssPv18_3r1r1r1(u,v,w)
| ~ 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
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
file('SYN875-1.p',unknown),
[] ).
cnf(45,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ 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)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ 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
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
file('SYN875-1.p',unknown),
[] ).
cnf(46,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ 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)
| ~ ssPv19_2r1r1(u,v)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0 ),
file('SYN875-1.p',unknown),
[] ).
cnf(47,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('SYN875-1.p',unknown),
[] ).
cnf(49,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)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ 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
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv20_1r1(u) ),
file('SYN875-1.p',unknown),
[] ).
cnf(59,axiom,
( ~ ssNder1_1r1(u)
| ~ 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
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN875-1.p',unknown),
[] ).
cnf(60,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)
| ~ 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)
| ~ 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_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ ssNder1_0
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
file('SYN875-1.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(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(78,plain,
~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc27),
inference(mrr,[status(thm)],[13,67,73,70,69,68,1]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,13.6,67.0,73.0,70.0,69.0,68.0,1.0')] ).
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,
( ssPv20_1r1(u)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
inference(mrr,[status(thm)],[21,67,82,79,76,73,70,69,68,83,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,67.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,83.0,1.0')] ).
cnf(87,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[22,67,84,83,82,79,76,73,70,69,68,85,1]),
[iquote('0:MRR:22.0,22.1,22.2,22.3,22.4,22.5,22.6,22.7,22.8,22.9,22.10,22.11,67.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,85.0,1.0')] ).
cnf(88,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22),
inference(mrr,[status(thm)],[23,67,84,83,82,79,76,73,70,69,68,85,1]),
[iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,23.10,23.11,67.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,85.0,1.0')] ).
cnf(89,plain,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23),
inference(mrr,[status(thm)],[24,67,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.12,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(90,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[25,67,85,84,83,82,79,76,73,70,69,68,87,1]),
[iquote('0:MRR:25.0,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,25.10,25.11,25.12,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,87.0,1.0')] ).
cnf(91,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[26,67,85,84,83,82,79,76,73,70,69,68,87,1]),
[iquote('0:MRR:26.0,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,26.10,26.11,26.12,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,87.0,1.0')] ).
cnf(92,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[27,67,87,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,27.10,27.11,27.13,67.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(94,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[29,67,87,85,84,83,82,79,76,73,70,69,68,90,1]),
[iquote('0:MRR:29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,29.10,29.11,29.12,29.13,67.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,90.0,1.0')] ).
cnf(95,plain,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18),
inference(mrr,[status(thm)],[30,67,87,85,84,83,82,79,76,73,70,69,68,90,1]),
[iquote('0:MRR:30.0,30.1,30.2,30.3,30.4,30.5,30.6,30.7,30.8,30.9,30.10,30.11,30.12,30.13,67.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,90.0,1.0')] ).
cnf(96,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[31,67,90,87,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,31.14,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(97,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv18_3r1r1r1(u,v,w)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(mrr,[status(thm)],[32,67,85,84,83,82,79,76,73,70,69,68,87,1]),
[iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,32.6,32.7,32.8,32.9,32.10,32.11,32.12,32.13,67.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,87.0,1.0')] ).
cnf(99,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[34,67,90,87,85,84,83,82,79,76,73,70,69,68,94,1]),
[iquote('0:MRR:34.0,34.1,34.2,34.3,34.4,34.5,34.6,34.7,34.8,34.9,34.10,34.11,34.12,34.13,34.14,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,94.0,1.0')] ).
cnf(102,plain,
~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc17),
inference(mrr,[status(thm)],[37,67,94,90,87,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:37.0,37.1,37.2,37.3,37.4,37.5,37.6,37.7,37.8,37.9,37.10,37.11,37.12,37.13,37.15,67.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(104,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[39,67,87,85,84,83,82,79,76,73,70,69,68,90,1]),
[iquote('0:MRR:39.1,39.3,39.4,39.6,39.7,39.8,39.9,39.10,39.11,39.12,39.13,39.14,39.16,39.17,67.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,90.0,1.0')] ).
cnf(106,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10),
inference(mrr,[status(thm)],[41,67,94,90,87,85,84,83,82,79,76,73,70,69,68,99,1]),
[iquote('0:MRR:41.0,41.1,41.2,41.3,41.4,41.5,41.6,41.7,41.8,41.9,41.10,41.11,41.12,41.13,41.14,41.15,67.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,99.0,1.0')] ).
cnf(107,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[42,67,90,87,85,84,83,82,79,76,73,70,69,68,1]),
[iquote('0:MRR:42.0,42.1,42.2,42.3,42.4,42.6,42.7,42.8,42.9,42.10,42.11,42.12,42.13,42.15,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,1.0')] ).
cnf(108,plain,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[43,67,90,87,85,84,83,82,79,76,73,70,69,68,94,1]),
[iquote('0:MRR:43.0,43.1,43.2,43.4,43.5,43.6,43.7,43.8,43.9,43.10,43.11,43.12,43.13,43.14,43.15,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,94.0,1.0')] ).
cnf(109,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
inference(mrr,[status(thm)],[44,67,90,87,85,84,83,82,79,76,73,70,69,68,94,1]),
[iquote('0:MRR:44.0,44.2,44.3,44.4,44.5,44.6,44.7,44.8,44.10,44.11,44.12,44.14,44.15,44.16,44.17,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,94.0,1.0')] ).
cnf(110,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(mrr,[status(thm)],[45,67,90,87,85,84,83,82,79,76,73,70,69,68,94,1]),
[iquote('0:MRR:45.0,45.2,45.3,45.4,45.5,45.6,45.7,45.8,45.10,45.11,45.13,45.14,45.15,45.16,45.17,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,94.0,1.0')] ).
cnf(111,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[46,67,90,87,85,84,83,82,79,76,73,70,69,68,94,1]),
[iquote('0:MRR:46.0,46.3,46.5,46.6,46.7,46.8,46.9,46.10,46.11,46.12,46.13,46.14,46.16,46.17,46.18,67.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,94.0,1.0')] ).
cnf(112,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11),
inference(mrr,[status(thm)],[47,67,99,94,90,87,85,84,83,82,79,76,73,70,69,68,106,1]),
[iquote('0:MRR:47.0,47.1,47.2,47.3,47.4,47.5,47.6,47.7,47.8,47.9,47.10,47.11,47.12,47.13,47.14,47.15,47.16,67.0,99.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,106.0,1.0')] ).
cnf(114,plain,
( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv20_1r1(u)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[49,67,94,90,87,85,84,83,82,79,76,73,70,69,68,99,1]),
[iquote('0:MRR:49.0,49.1,49.2,49.3,49.4,49.6,49.7,49.8,49.9,49.10,49.11,49.12,49.13,49.14,49.15,49.16,67.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,99.0,1.0')] ).
cnf(124,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12) ),
inference(mrr,[status(thm)],[59,67,106,99,94,90,87,85,84,83,82,79,76,73,70,69,68,112,1]),
[iquote('0:MRR:59.0,59.1,59.3,59.4,59.5,59.6,59.7,59.8,59.9,59.10,59.11,59.12,59.13,59.14,59.15,59.16,59.17,59.18,67.0,106.0,99.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,112.0,1.0')] ).
cnf(125,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(mrr,[status(thm)],[60,67,106,99,94,90,87,85,84,83,82,79,76,73,70,69,68,112,1]),
[iquote('0:MRR:60.0,60.2,60.3,60.4,60.5,60.6,60.7,60.8,60.9,60.11,60.12,60.14,60.15,60.16,60.17,60.18,60.19,60.20,67.0,106.0,99.0,94.0,90.0,87.0,85.0,84.0,83.0,82.0,79.0,76.0,73.0,70.0,69.0,68.0,112.0,1.0')] ).
cnf(138,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[77,97]),
[iquote('0:Res:77.0,97.0')] ).
cnf(139,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2) ),
inference(res,[status(thm),theory(equality)],[138,89]),
[iquote('0:Res:138.2,89.0')] ).
cnf(145,plain,
( ssPv20_1r1(u)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(res,[status(thm),theory(equality)],[86,114]),
[iquote('0:Res:86.3,114.0')] ).
cnf(146,plain,
( ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(obv,[status(thm),theory(equality)],[145]),
[iquote('0:Obv:145.0')] ).
cnf(157,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
inference(res,[status(thm),theory(equality)],[95,109]),
[iquote('0:Res:95.0,109.2')] ).
cnf(158,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[74,157]),
[iquote('0:Res:74.0,157.1')] ).
cnf(161,plain,
( ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[146,102]),
[iquote('0:Res:146.4,102.0')] ).
cnf(162,plain,
( ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u) ),
inference(res,[status(thm),theory(equality)],[161,81]),
[iquote('0:Res:161.3,81.0')] ).
cnf(164,plain,
( ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv20_1r1(u) ),
inference(res,[status(thm),theory(equality)],[162,78]),
[iquote('0:Res:162.1,78.0')] ).
cnf(166,plain,
ssPv20_1r1(u),
inference(res,[status(thm),theory(equality)],[164,75]),
[iquote('0:Res:164.0,75.0')] ).
cnf(169,plain,
( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[104,166]),
[iquote('0:MRR:104.0,166.0')] ).
cnf(170,plain,
( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[91,169]),
[iquote('0:Res:91.0,169.2')] ).
cnf(171,plain,
~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(res,[status(thm),theory(equality)],[88,170]),
[iquote('0:Res:88.0,170.1')] ).
cnf(173,plain,
~ ssPv18_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[158,171]),
[iquote('0:MRR:158.1,171.0')] ).
cnf(175,plain,
ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2),
inference(mrr,[status(thm)],[139,173]),
[iquote('0:MRR:139.0,173.0')] ).
cnf(177,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[95,110]),
[iquote('0:Res:95.0,110.2')] ).
cnf(180,plain,
( ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv3_18r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18,x9,x10,x11) ),
inference(res,[status(thm),theory(equality)],[95,124]),
[iquote('0:Res:95.0,124.0')] ).
cnf(181,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[95,111]),
[iquote('0:Res:95.0,111.3')] ).
cnf(182,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[88,181]),
[iquote('0:Res:88.0,181.2')] ).
cnf(185,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[180,125]),
[iquote('0:Res:180.2,125.2')] ).
cnf(186,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(mrr,[status(thm)],[185,177]),
[iquote('0:MRR:185.2,177.0')] ).
cnf(187,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22,x7) ),
inference(res,[status(thm),theory(equality)],[88,107]),
[iquote('0:Res:88.0,107.1')] ).
cnf(188,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4,x5) ),
inference(res,[status(thm),theory(equality)],[80,186]),
[iquote('0:Res:80.0,186.1')] ).
cnf(189,plain,
( ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,skc24,x1,x2,x3,x4) ),
inference(res,[status(thm),theory(equality)],[74,188]),
[iquote('0:Res:74.0,188.0')] ).
cnf(190,plain,
( ~ ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[189,182]),
[iquote('0:Res:189.1,182.1')] ).
cnf(193,plain,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[108,190]),
[iquote('0:MRR:108.1,190.0')] ).
cnf(195,plain,
( ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,skc22,x6) ),
inference(res,[status(thm),theory(equality)],[175,187]),
[iquote('0:Res:175.0,187.0')] ).
cnf(197,plain,
ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4),
inference(res,[status(thm),theory(equality)],[195,92]),
[iquote('0:Res:195.1,92.0')] ).
cnf(198,plain,
( ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[197,193]),
[iquote('0:Res:197.0,193.0')] ).
cnf(200,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,y),
inference(res,[status(thm),theory(equality)],[198,96]),
[iquote('0:Res:198.1,96.0')] ).
cnf(203,plain,
$false,
inference(unc,[status(thm)],[200,72]),
[iquote('0:UnC:200.0,72.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN875-1 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n008.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Mon Jul 11 14:26:23 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 60 clauses, backtracked 0 clauses, performed 0 splits and kept 113 clauses.
% 0.21/0.51 SPASS allocated 76208 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.14 on the problem.
% 0.21/0.51 0:00:00.05 for the input.
% 0.21/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.00 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.05 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 6, length 116 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause7 clause8 clause9 clause10 clause11 clause12 clause13 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause25 clause26 clause27 clause29 clause30 clause31 clause32 clause34 clause37 clause39 clause41 clause42 clause43 clause44 clause45 clause46 clause47 clause49 clause59 clause60
% 0.21/0.51
%------------------------------------------------------------------------------