%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN878-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:29:29 EDT 2022
% Result : Unsatisfiable 0.18s 0.50s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 37
% Syntax : Number of clauses : 97 ( 34 unt; 25 nHn; 97 RR)
% Number of literals : 549 ( 0 equ; 428 neg)
% Maximal clause size : 23 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 35 ( 34 usr; 2 prp; 0-19 aty)
% Number of functors : 29 ( 29 usr; 29 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN878-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN878-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN878-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.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('SYN878-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ 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_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_0
| ssPv18_3r1r1r1(u,v,w) ),
file('SYN878-1.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('SYN878-1.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('SYN878-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ 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)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ 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
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN878-1.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('SYN878-1.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('SYN878-1.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
| ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
file('SYN878-1.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)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
| ~ ssNder1_0 ),
file('SYN878-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ 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)
| ~ 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
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
file('SYN878-1.p',unknown),
[] ).
cnf(33,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('SYN878-1.p',unknown),
[] ).
cnf(35,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('SYN878-1.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('SYN878-1.p',unknown),
[] ).
cnf(37,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('SYN878-1.p',unknown),
[] ).
cnf(40,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)
| ~ 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_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)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv18_3r1r1r1(u,v,w) ),
file('SYN878-1.p',unknown),
[] ).
cnf(42,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('SYN878-1.p',unknown),
[] ).
cnf(44,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)
| ~ 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_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('SYN878-1.p',unknown),
[] ).
cnf(46,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('SYN878-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ 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)
| ~ 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
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
file('SYN878-1.p',unknown),
[] ).
cnf(50,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('SYN878-1.p',unknown),
[] ).
cnf(63,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)
| ~ 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_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)
| ~ 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)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN878-1.p',unknown),
[] ).
cnf(64,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
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN878-1.p',unknown),
[] ).
cnf(77,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(78,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,77,1]),
[iquote('0:MRR:3.0,3.1,77.0,1.0')] ).
cnf(79,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[4,77,78,1]),
[iquote('0:MRR:4.0,4.1,4.2,77.0,78.0,1.0')] ).
cnf(80,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[5,77,78,79,1]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,77.0,78.0,79.0,1.0')] ).
cnf(81,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,skc30),
inference(mrr,[status(thm)],[6,77,78,79,1]),
[iquote('0:MRR:6.0,6.1,6.2,6.3,77.0,78.0,79.0,1.0')] ).
cnf(82,plain,
~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
inference(mrr,[status(thm)],[7,77,79,78,1]),
[iquote('0:MRR:7.0,7.1,7.2,7.4,77.0,79.0,78.0,1.0')] ).
cnf(83,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[8,77,79,78,80,1]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,77.0,79.0,78.0,80.0,1.0')] ).
cnf(84,plain,
ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28),
inference(mrr,[status(thm)],[9,77,79,78,80,1]),
[iquote('0:MRR:9.0,9.1,9.2,9.3,9.4,77.0,79.0,78.0,80.0,1.0')] ).
cnf(86,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[11,77,80,79,78,83,1]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,77.0,80.0,79.0,78.0,83.0,1.0')] ).
cnf(88,plain,
~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc27),
inference(mrr,[status(thm)],[13,77,83,80,79,78,1]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,13.6,77.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(89,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[14,77,83,80,79,78,86,1]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,77.0,83.0,80.0,79.0,78.0,86.0,1.0')] ).
cnf(90,plain,
ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24),
inference(mrr,[status(thm)],[15,77,83,80,79,78,86,1]),
[iquote('0:MRR:15.0,15.1,15.2,15.3,15.4,15.5,15.6,77.0,83.0,80.0,79.0,78.0,86.0,1.0')] ).
cnf(91,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
inference(mrr,[status(thm)],[16,77,86,83,80,79,78,1]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,16.5,16.7,77.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(92,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[17,77,86,83,80,79,78,89,1]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,77.0,86.0,83.0,80.0,79.0,78.0,89.0,1.0')] ).
cnf(93,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[18,77,89,86,83,80,79,78,92,1]),
[iquote('0:MRR:18.0,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,77.0,89.0,86.0,83.0,80.0,79.0,78.0,92.0,1.0')] ).
cnf(94,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv18_3r1r1r1(u,v,w) ),
inference(mrr,[status(thm)],[19,77,86,83,80,79,78,89,1]),
[iquote('0:MRR:19.1,19.3,19.4,19.5,19.6,19.7,19.8,19.10,77.0,86.0,83.0,80.0,79.0,78.0,89.0,1.0')] ).
cnf(95,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[20,77,92,89,86,83,80,79,78,93,1]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,77.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,93.0,1.0')] ).
cnf(96,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[21,77,93,92,89,86,83,80,79,78,95,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,77.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,95.0,1.0')] ).
cnf(97,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[22,77,92,89,86,83,80,79,78,93,1]),
[iquote('0:MRR:22.0,22.3,22.4,22.5,22.6,22.8,22.9,22.10,22.11,22.12,77.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,93.0,1.0')] ).
cnf(98,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[23,77,95,93,92,89,86,83,80,79,78,96,1]),
[iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,23.10,23.11,77.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,96.0,1.0')] ).
cnf(99,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22),
inference(mrr,[status(thm)],[24,77,95,93,92,89,86,83,80,79,78,96,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.11,77.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,96.0,1.0')] ).
cnf(101,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[26,77,96,95,93,92,89,86,83,80,79,78,98,1]),
[iquote('0:MRR:26.0,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,26.10,26.11,26.12,77.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,98.0,1.0')] ).
cnf(103,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[28,77,98,96,95,93,92,89,86,83,80,79,78,1]),
[iquote('0:MRR:28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,28.10,28.11,28.13,77.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(105,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssPv9_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) ),
inference(mrr,[status(thm)],[30,77,95,93,92,89,86,83,80,79,78,96,1]),
[iquote('0:MRR:30.0,30.2,30.3,30.4,30.5,30.7,30.9,30.10,30.11,30.12,30.13,30.14,77.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,96.0,1.0')] ).
cnf(108,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[33,77,98,96,95,93,92,89,86,83,80,79,78,101,1]),
[iquote('0:MRR:33.0,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,33.10,33.11,33.12,33.13,77.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,101.0,1.0')] ).
cnf(110,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[35,77,101,98,96,95,93,92,89,86,83,80,79,78,1]),
[iquote('0:MRR:35.0,35.1,35.2,35.3,35.4,35.5,35.6,35.7,35.8,35.9,35.10,35.11,35.12,35.14,77.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(111,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[36,77,101,98,96,95,93,92,89,86,83,80,79,78,108,1]),
[iquote('0:MRR:36.0,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,36.10,36.11,36.12,36.13,36.14,77.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,108.0,1.0')] ).
cnf(112,plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16),
inference(mrr,[status(thm)],[37,77,101,98,96,95,93,92,89,86,83,80,79,78,108,1]),
[iquote('0:MRR:37.0,37.1,37.2,37.3,37.4,37.5,37.6,37.7,37.8,37.9,37.10,37.11,37.12,37.13,37.14,77.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,108.0,1.0')] ).
cnf(115,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv18_3r1r1r1(u,v,w)
| 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(mrr,[status(thm)],[40,77,98,96,95,93,92,89,86,83,80,79,78,101,1]),
[iquote('0:MRR:40.0,40.1,40.2,40.3,40.4,40.5,40.6,40.8,40.9,40.10,40.11,40.12,40.13,40.14,77.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,101.0,1.0')] ).
cnf(117,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10),
inference(mrr,[status(thm)],[42,77,108,101,98,96,95,93,92,89,86,83,80,79,78,111,1]),
[iquote('0:MRR:42.0,42.1,42.2,42.3,42.4,42.5,42.6,42.7,42.8,42.9,42.10,42.11,42.12,42.13,42.14,42.15,77.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,111.0,1.0')] ).
cnf(119,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[44,77,101,98,96,95,93,92,89,86,83,80,79,78,108,1]),
[iquote('0:MRR:44.0,44.1,44.2,44.4,44.5,44.6,44.8,44.9,44.10,44.11,44.12,44.13,44.14,44.15,44.16,77.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,108.0,1.0')] ).
cnf(121,plain,
ssNder1_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11),
inference(mrr,[status(thm)],[46,77,111,108,101,98,96,95,93,92,89,86,83,80,79,78,117,1]),
[iquote('0:MRR:46.0,46.1,46.2,46.3,46.4,46.5,46.6,46.7,46.8,46.9,46.10,46.11,46.12,46.13,46.14,46.15,46.16,77.0,111.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,117.0,1.0')] ).
cnf(124,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[49,77,108,101,98,96,95,93,92,89,86,83,80,79,78,111,1]),
[iquote('0:MRR:49.0,49.2,49.3,49.4,49.5,49.6,49.7,49.8,49.9,49.10,49.11,49.13,49.14,49.15,49.16,49.17,77.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,111.0,1.0')] ).
cnf(125,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)],[50,77,117,111,108,101,98,96,95,93,92,89,86,83,80,79,78,121,1]),
[iquote('0:MRR:50.0,50.1,50.2,50.3,50.4,50.5,50.6,50.7,50.8,50.9,50.10,50.11,50.12,50.13,50.14,50.15,50.16,50.17,77.0,117.0,111.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,121.0,1.0')] ).
cnf(138,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| 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) ),
inference(mrr,[status(thm)],[63,77,121,117,111,108,101,98,96,95,93,92,89,86,83,80,79,78,125,1]),
[iquote('0:MRR:63.0,63.1,63.2,63.3,63.4,63.6,63.7,63.8,63.9,63.10,63.11,63.12,63.13,63.14,63.15,63.17,63.18,63.19,63.20,77.0,121.0,117.0,111.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,125.0,1.0')] ).
cnf(139,plain,
( ~ ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11,x12,x13)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[64,77,121,117,111,108,101,98,96,95,93,92,89,86,83,80,79,78,125,1]),
[iquote('0:MRR:64.0,64.2,64.3,64.4,64.5,64.6,64.7,64.8,64.9,64.10,64.11,64.12,64.13,64.14,64.15,64.16,64.17,64.18,64.19,77.0,121.0,117.0,111.0,108.0,101.0,98.0,96.0,95.0,93.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,125.0,1.0')] ).
cnf(157,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv18_3r1r1r1(u,v,w) ),
inference(res,[status(thm),theory(equality)],[90,94]),
[iquote('0:Res:90.0,94.2')] ).
cnf(158,plain,
( ~ ssPv20_1r1(u)
| ssPv18_3r1r1r1(u,v,w) ),
inference(res,[status(thm),theory(equality)],[84,157]),
[iquote('0:Res:84.0,157.1')] ).
cnf(164,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[84,115]),
[iquote('0:Res:84.0,115.0')] ).
cnf(166,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5) ),
inference(res,[status(thm),theory(equality)],[164,103]),
[iquote('0:Res:164.2,103.0')] ).
cnf(168,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc28)
| ssPv18_3r1r1r1(u,v,w)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4) ),
inference(res,[status(thm),theory(equality)],[166,105]),
[iquote('0:Res:166.1,105.2')] ).
cnf(169,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv18_3r1r1r1(u,v,w)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4) ),
inference(mrr,[status(thm)],[168,84]),
[iquote('0:MRR:168.1,84.0')] ).
cnf(170,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[81,169]),
[iquote('0:Res:81.0,169.0')] ).
cnf(175,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z)
| ssPv18_3r1r1r1(u,v,w)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[170,119]),
[iquote('0:Res:170.1,119.1')] ).
cnf(176,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z)
| ssPv18_3r1r1r1(u,v,w)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(mrr,[status(thm)],[175,158]),
[iquote('0:MRR:175.2,158.0')] ).
cnf(177,plain,
( ssPv18_3r1r1r1(u,v,w)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,skc28,y,skc24,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[90,176]),
[iquote('0:Res:90.0,176.0')] ).
cnf(178,plain,
ssPv18_3r1r1r1(u,v,w),
inference(res,[status(thm),theory(equality)],[177,110]),
[iquote('0:Res:177.1,110.0')] ).
cnf(179,plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| 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) ),
inference(mrr,[status(thm)],[138,178]),
[iquote('0:MRR:138.0,178.0')] ).
cnf(186,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv2_19r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22,x7,x8,x9,x10,x11,x12) ),
inference(res,[status(thm),theory(equality)],[99,179]),
[iquote('0:Res:99.0,179.0')] ).
cnf(206,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[112,124]),
[iquote('0:Res:112.0,124.1')] ).
cnf(207,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22,x7,x8) ),
inference(res,[status(thm),theory(equality)],[186,139]),
[iquote('0:Res:186.1,139.0')] ).
cnf(208,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(res,[status(thm),theory(equality)],[207,110]),
[iquote('0:Res:207.3,110.0')] ).
cnf(209,plain,
( ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(res,[status(thm),theory(equality)],[208,91]),
[iquote('0:Res:208.0,91.0')] ).
cnf(211,plain,
ssPv17_4r1r1r1r1(u,v,w,x),
inference(res,[status(thm),theory(equality)],[209,88]),
[iquote('0:Res:209.1,88.0')] ).
cnf(212,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[97,211]),
[iquote('0:MRR:97.0,211.0')] ).
cnf(215,plain,
( ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[206,211]),
[iquote('0:MRR:206.0,211.0')] ).
cnf(220,plain,
ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(res,[status(thm),theory(equality)],[215,103]),
[iquote('0:Res:215.1,103.0')] ).
cnf(223,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[212,220]),
[iquote('0:MRR:212.1,220.0')] ).
cnf(227,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,y),
inference(res,[status(thm),theory(equality)],[90,223]),
[iquote('0:Res:90.0,223.0')] ).
cnf(228,plain,
$false,
inference(unc,[status(thm)],[227,82]),
[iquote('0:UnC:227.0,82.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SYN878-1 : TPTP v8.1.0. Released v2.5.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 00:06:54 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.50
% 0.18/0.50 SPASS V 3.9
% 0.18/0.50 SPASS beiseite: Proof found.
% 0.18/0.50 % SZS status Theorem
% 0.18/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.50 SPASS derived 66 clauses, backtracked 0 clauses, performed 0 splits and kept 136 clauses.
% 0.18/0.50 SPASS allocated 76354 KBytes.
% 0.18/0.50 SPASS spent 0:00:00.16 on the problem.
% 0.18/0.50 0:00:00.05 for the input.
% 0.18/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.50 0:00:00.00 for inferences.
% 0.18/0.50 0:00:00.00 for the backtracking.
% 0.18/0.50 0:00:00.07 for the reduction.
% 0.18/0.50
% 0.18/0.50
% 0.18/0.50 Here is a proof with depth 7, length 97 :
% 0.18/0.50 % SZS output start Refutation
% See solution above
% 0.18/0.50 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause9 clause11 clause13 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause26 clause28 clause30 clause33 clause35 clause36 clause37 clause40 clause42 clause44 clause46 clause49 clause50 clause63 clause64
% 0.18/0.50
%------------------------------------------------------------------------------