%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN889-1 : 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 12:30:43 EDT 2022
% Result : Unsatisfiable 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 34
% Syntax : Number of clauses : 89 ( 31 unt; 24 nHn; 89 RR)
% Number of literals : 480 ( 0 equ; 365 neg)
% Maximal clause size : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 30 ( 29 usr; 2 prp; 0-16 aty)
% Number of functors : 27 ( 27 usr; 27 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN889-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN889-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN889-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.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('SYN889-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ 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_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_0
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN889-1.p',unknown),
[] ).
cnf(20,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('SYN889-1.p',unknown),
[] ).
cnf(21,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('SYN889-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssNder1_1r1(u)
| ~ 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_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv18_3r1r1r1(u,v,w) ),
file('SYN889-1.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
| ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
file('SYN889-1.p',unknown),
[] ).
cnf(24,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('SYN889-1.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)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23)
| ~ ssNder1_0 ),
file('SYN889-1.p',unknown),
[] ).
cnf(28,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('SYN889-1.p',unknown),
[] ).
cnf(29,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('SYN889-1.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)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
| ~ ssNder1_0 ),
file('SYN889-1.p',unknown),
[] ).
cnf(32,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('SYN889-1.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)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19)
| ~ ssNder1_0 ),
file('SYN889-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ 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_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN889-1.p',unknown),
[] ).
cnf(36,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('SYN889-1.p',unknown),
[] ).
cnf(38,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('SYN889-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ 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)
| ~ 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)
| ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssPv19_2r1r1(u,v)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
file('SYN889-1.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)
| ~ 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
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv20_1r1(u) ),
file('SYN889-1.p',unknown),
[] ).
cnf(47,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
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv18_3r1r1r1(u,v,w)
| ssPv19_2r1r1(u,v) ),
file('SYN889-1.p',unknown),
[] ).
cnf(53,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)
| ~ 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)
| ~ ssPv19_2r1r1(u,v)
| ~ 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) ),
file('SYN889-1.p',unknown),
[] ).
cnf(87,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(88,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,87,1]),
[iquote('0:MRR:3.0,3.1,87.0,1.0')] ).
cnf(89,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[4,87,88,1]),
[iquote('0:MRR:4.0,4.1,4.2,87.0,88.0,1.0')] ).
cnf(90,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[5,87,88,89,1]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,87.0,88.0,89.0,1.0')] ).
cnf(91,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,skc30),
inference(mrr,[status(thm)],[6,87,88,89,1]),
[iquote('0:MRR:6.0,6.1,6.2,6.3,87.0,88.0,89.0,1.0')] ).
cnf(93,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[8,87,89,88,90,1]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,87.0,89.0,88.0,90.0,1.0')] ).
cnf(94,plain,
ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28),
inference(mrr,[status(thm)],[9,87,89,88,90,1]),
[iquote('0:MRR:9.0,9.1,9.2,9.3,9.4,87.0,89.0,88.0,90.0,1.0')] ).
cnf(96,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[11,87,90,89,88,93,1]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,87.0,90.0,89.0,88.0,93.0,1.0')] ).
cnf(97,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26),
inference(mrr,[status(thm)],[12,87,90,89,88,93,1]),
[iquote('0:MRR:12.0,12.1,12.2,12.3,12.4,12.5,87.0,90.0,89.0,88.0,93.0,1.0')] ).
cnf(98,plain,
~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc27),
inference(mrr,[status(thm)],[13,87,93,90,89,88,1]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,13.6,87.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(99,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[14,87,93,90,89,88,96,1]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,87.0,93.0,90.0,89.0,88.0,96.0,1.0')] ).
cnf(101,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
inference(mrr,[status(thm)],[16,87,96,93,90,89,88,1]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,16.5,16.7,87.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(102,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[17,87,96,93,90,89,88,99,1]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,87.0,96.0,93.0,90.0,89.0,88.0,99.0,1.0')] ).
cnf(103,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[18,87,99,96,93,90,89,88,102,1]),
[iquote('0:MRR:18.0,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,87.0,99.0,96.0,93.0,90.0,89.0,88.0,102.0,1.0')] ).
cnf(104,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv18_3r1r1r1(u,v,w)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(mrr,[status(thm)],[19,87,93,90,89,88,99,96,1]),
[iquote('0:MRR:19.1,19.2,19.3,19.5,19.6,19.7,19.8,19.9,87.0,93.0,90.0,89.0,88.0,99.0,96.0,1.0')] ).
cnf(105,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[20,87,102,99,96,93,90,89,88,103,1]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,87.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,103.0,1.0')] ).
cnf(106,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[21,87,103,102,99,96,93,90,89,88,105,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,87.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,105.0,1.0')] ).
cnf(107,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv18_3r1r1r1(u,v,w)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
inference(mrr,[status(thm)],[22,87,102,99,96,93,90,89,88,103,1]),
[iquote('0:MRR:22.0,22.1,22.3,22.4,22.5,22.6,22.7,22.8,22.9,22.10,87.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,103.0,1.0')] ).
cnf(108,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[23,87,105,103,102,99,96,93,90,89,88,106,1]),
[iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,23.10,23.11,87.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,1.0')] ).
cnf(109,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22),
inference(mrr,[status(thm)],[24,87,105,103,102,99,96,93,90,89,88,106,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.11,87.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,1.0')] ).
cnf(110,plain,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23),
inference(mrr,[status(thm)],[25,87,106,105,103,102,99,96,93,90,89,88,1]),
[iquote('0:MRR:25.0,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,25.10,25.12,87.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(113,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[28,87,106,105,103,102,99,96,93,90,89,88,108,1]),
[iquote('0:MRR:28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,28.10,28.11,28.12,87.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,108.0,1.0')] ).
cnf(114,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[29,87,106,105,103,102,99,96,93,90,89,88,108,1]),
[iquote('0:MRR:29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,29.10,29.11,29.12,87.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,108.0,1.0')] ).
cnf(115,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[30,87,108,106,105,103,102,99,96,93,90,89,88,1]),
[iquote('0:MRR:30.0,30.1,30.2,30.3,30.4,30.5,30.6,30.7,30.8,30.9,30.10,30.11,30.13,87.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(117,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[32,87,108,106,105,103,102,99,96,93,90,89,88,113,1]),
[iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,32.10,32.11,32.12,32.13,87.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,113.0,1.0')] ).
cnf(119,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[34,87,113,108,106,105,103,102,99,96,93,90,89,88,1]),
[iquote('0:MRR:34.0,34.1,34.2,34.3,34.4,34.5,34.6,34.7,34.8,34.9,34.10,34.11,34.12,34.14,87.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(120,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)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(mrr,[status(thm)],[35,87,106,105,103,102,99,96,93,90,89,88,108,1]),
[iquote('0:MRR:35.0,35.2,35.4,35.5,35.6,35.7,35.8,35.9,35.10,35.11,35.12,35.13,35.14,87.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,108.0,1.0')] ).
cnf(121,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[36,87,113,108,106,105,103,102,99,96,93,90,89,88,117,1]),
[iquote('0:MRR:36.0,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,36.10,36.11,36.12,36.13,36.14,87.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,117.0,1.0')] ).
cnf(123,plain,
~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc17),
inference(mrr,[status(thm)],[38,87,117,113,108,106,105,103,102,99,96,93,90,89,88,1]),
[iquote('0:MRR:38.0,38.1,38.2,38.3,38.4,38.5,38.6,38.7,38.8,38.9,38.10,38.11,38.12,38.13,38.15,87.0,117.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(124,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(mrr,[status(thm)],[39,87,108,106,105,103,102,99,96,93,90,89,88,113,1]),
[iquote('0:MRR:39.0,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.9,39.10,39.12,39.14,39.15,39.16,87.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,113.0,1.0')] ).
cnf(128,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[43,87,113,108,106,105,103,102,99,96,93,90,89,88,117,1]),
[iquote('0:MRR:43.0,43.1,43.2,43.3,43.4,43.5,43.6,43.7,43.9,43.10,43.11,43.13,43.14,43.15,43.16,87.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,117.0,1.0')] ).
cnf(132,plain,
( ssPv19_2r1r1(u,v)
| ssPv18_3r1r1r1(u,v,w)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[47,87,113,108,106,105,103,102,99,96,93,90,89,88,117,1]),
[iquote('0:MRR:47.0,47.1,47.2,47.3,47.4,47.5,47.6,47.7,47.8,47.9,47.10,47.11,47.12,47.13,47.14,87.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,117.0,1.0')] ).
cnf(138,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[53,87,117,113,108,106,105,103,102,99,96,93,90,89,88,121,1]),
[iquote('0:MRR:53.0,53.1,53.2,53.3,53.4,53.5,53.6,53.7,53.8,53.9,53.11,53.13,53.14,53.16,53.17,53.18,87.0,117.0,113.0,108.0,106.0,105.0,103.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,121.0,1.0')] ).
cnf(176,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[94,128]),
[iquote('0:Res:94.0,128.1')] ).
cnf(180,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[97,107]),
[iquote('0:Res:97.0,107.0')] ).
cnf(181,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(res,[status(thm),theory(equality)],[91,138]),
[iquote('0:Res:91.0,138.2')] ).
cnf(182,plain,
( ssPv19_2r1r1(u,v)
| ssPv18_3r1r1r1(u,v,w)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[132,119]),
[iquote('0:Res:132.3,119.0')] ).
cnf(183,plain,
( ssPv19_2r1r1(u,v)
| ssPv18_3r1r1r1(u,v,w) ),
inference(res,[status(thm),theory(equality)],[182,115]),
[iquote('0:Res:182.2,115.0')] ).
cnf(184,plain,
( ssPv19_2r1r1(u,v)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[183,176]),
[iquote('0:Res:183.1,176.0')] ).
cnf(185,plain,
( ~ ssPv20_1r1(u)
| ssPv19_2r1r1(u,v)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[183,104]),
[iquote('0:Res:183.1,104.1')] ).
cnf(186,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv18_3r1r1r1(u,v,w)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[114,124]),
[iquote('0:Res:114.0,124.2')] ).
cnf(187,plain,
( ssPv19_2r1r1(u,v)
| ssPv20_1r1(u) ),
inference(res,[status(thm),theory(equality)],[184,119]),
[iquote('0:Res:184.2,119.0')] ).
cnf(188,plain,
( ssPv19_2r1r1(u,v)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(mrr,[status(thm)],[185,187]),
[iquote('0:MRR:185.0,187.1')] ).
cnf(190,plain,
( ssPv19_2r1r1(u,v)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(res,[status(thm),theory(equality)],[188,101]),
[iquote('0:Res:188.2,101.0')] ).
cnf(191,plain,
ssPv19_2r1r1(u,v),
inference(res,[status(thm),theory(equality)],[190,98]),
[iquote('0:Res:190.1,98.0')] ).
cnf(195,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[181,191]),
[iquote('0:MRR:181.0,191.0')] ).
cnf(200,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(mrr,[status(thm)],[186,191]),
[iquote('0:MRR:186.0,191.0')] ).
cnf(206,plain,
( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[109,120]),
[iquote('0:Res:109.0,120.1')] ).
cnf(207,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1) ),
inference(res,[status(thm),theory(equality)],[180,206]),
[iquote('0:Res:180.2,206.0')] ).
cnf(208,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1) ),
inference(obv,[status(thm),theory(equality)],[207]),
[iquote('0:Obv:207.1')] ).
cnf(209,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[208,101]),
[iquote('0:Res:208.2,101.0')] ).
cnf(211,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(res,[status(thm),theory(equality)],[209,195]),
[iquote('0:Res:209.1,195.0')] ).
cnf(221,plain,
ssPv18_3r1r1r1(u,v,w),
inference(res,[status(thm),theory(equality)],[211,123]),
[iquote('0:Res:211.1,123.0')] ).
cnf(222,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[200,221]),
[iquote('0:MRR:200.0,221.0')] ).
cnf(228,plain,
$false,
inference(unc,[status(thm)],[222,110]),
[iquote('0:UnC:222.0,110.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN889-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.13/0.32 % Computer : n020.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 600
% 0.13/0.32 % DateTime : Mon Jul 11 23:37:27 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 52 clauses, backtracked 0 clauses, performed 0 splits and kept 132 clauses.
% 0.19/0.50 SPASS allocated 76483 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.17 on the problem.
% 0.19/0.50 0:00:00.06 for the input.
% 0.19/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.00 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.07 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 5, length 89 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause8 clause9 clause11 clause12 clause13 clause14 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause25 clause28 clause29 clause30 clause32 clause34 clause35 clause36 clause38 clause39 clause43 clause47 clause53
% 0.19/0.51
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