TSTP Solution File: SYN877-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN877-1 : 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 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 39
% Syntax : Number of clauses : 107 ( 36 unt; 34 nHn; 107 RR)
% Number of literals : 586 ( 0 equ; 450 neg)
% Maximal clause size : 21 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 32 ( 31 usr; 2 prp; 0-17 aty)
% Number of functors : 30 ( 30 usr; 30 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN877-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN877-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN877-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN877-1.p',unknown),
[] ).
cnf(19,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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.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('SYN877-1.p',unknown),
[] ).
cnf(27,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('SYN877-1.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
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20) ),
file('SYN877-1.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)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21)
| ~ ssNder1_0 ),
file('SYN877-1.p',unknown),
[] ).
cnf(31,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('SYN877-1.p',unknown),
[] ).
cnf(33,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('SYN877-1.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)
| ~ 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('SYN877-1.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
| ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
file('SYN877-1.p',unknown),
[] ).
cnf(39,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)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ 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)
| ~ 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)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
file('SYN877-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ssPv20_1r1(u)
| ~ 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)
| ~ 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_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,x9)
| ssPv18_3r1r1r1(u,v,w) ),
file('SYN877-1.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('SYN877-1.p',unknown),
[] ).
cnf(42,axiom,
( ~ ssPv20_1r1(u)
| ~ 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_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_0
| 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) ),
file('SYN877-1.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)
| ~ 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)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN877-1.p',unknown),
[] ).
cnf(46,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)
| ~ 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)
| ~ 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
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv20_1r1(u) ),
file('SYN877-1.p',unknown),
[] ).
cnf(48,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
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
file('SYN877-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ~ 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)
| ~ 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_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN877-1.p',unknown),
[] ).
cnf(57,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ 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
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv20_1r1(u) ),
file('SYN877-1.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(85,plain,
~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc29),
inference(mrr,[status(thm)],[10,77,80,79,78,1]),
[iquote('0:MRR:10.0,10.1,10.2,10.3,10.5,77.0,80.0,79.0,78.0,1.0')] ).
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(87,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26),
inference(mrr,[status(thm)],[12,77,80,79,78,83,1]),
[iquote('0:MRR:12.0,12.1,12.2,12.3,12.4,12.5,77.0,80.0,79.0,78.0,83.0,1.0')] ).
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(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,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[18,77,83,80,79,78,86,1]),
[iquote('0:MRR:18.0,18.2,18.4,18.6,18.7,18.8,18.9,77.0,83.0,80.0,79.0,78.0,86.0,1.0')] ).
cnf(94,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[19,77,89,86,83,80,79,78,92,1]),
[iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,77.0,89.0,86.0,83.0,80.0,79.0,78.0,92.0,1.0')] ).
cnf(95,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[20,77,92,89,86,83,80,79,78,94,1]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,77.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,94.0,1.0')] ).
cnf(96,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[21,77,94,92,89,86,83,80,79,78,95,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,77.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,95.0,1.0')] ).
cnf(97,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[22,77,95,94,92,89,86,83,80,79,78,96,1]),
[iquote('0:MRR:22.0,22.1,22.2,22.3,22.4,22.5,22.6,22.7,22.8,22.9,22.10,22.11,77.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,96.0,1.0')] ).
cnf(98,plain,
ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc22),
inference(mrr,[status(thm)],[23,77,95,94,92,89,86,83,80,79,78,96,1]),
[iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,23.10,23.11,77.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,96.0,1.0')] ).
cnf(99,plain,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23),
inference(mrr,[status(thm)],[24,77,96,95,94,92,89,86,83,80,79,78,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,24.12,77.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(102,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[27,77,96,95,94,92,89,86,83,80,79,78,97,1]),
[iquote('0:MRR:27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,27.10,27.11,27.12,77.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,97.0,1.0')] ).
cnf(103,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[28,77,96,95,94,92,89,86,83,80,79,78,97,1]),
[iquote('0:MRR:28.0,28.1,28.2,28.3,28.4,28.5,28.6,28.7,28.8,28.9,28.10,28.11,28.12,77.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,97.0,1.0')] ).
cnf(104,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[29,77,97,96,95,94,92,89,86,83,80,79,78,1]),
[iquote('0:MRR:29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,29.10,29.11,29.13,77.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(106,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[31,77,97,96,95,94,92,89,86,83,80,79,78,102,1]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,31.13,77.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,102.0,1.0')] ).
cnf(108,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[33,77,102,97,96,95,94,92,89,86,83,80,79,78,1]),
[iquote('0:MRR:33.0,33.1,33.2,33.3,33.4,33.5,33.6,33.7,33.8,33.9,33.10,33.11,33.12,33.14,77.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,1.0')] ).
cnf(110,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[35,77,102,97,96,95,94,92,89,86,83,80,79,78,106,1]),
[iquote('0:MRR:35.0,35.1,35.2,35.3,35.4,35.5,35.6,35.7,35.8,35.9,35.10,35.11,35.12,35.13,35.14,77.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,106.0,1.0')] ).
cnf(111,plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16),
inference(mrr,[status(thm)],[36,77,102,97,96,95,94,92,89,86,83,80,79,78,106,1]),
[iquote('0:MRR:36.0,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,36.10,36.11,36.12,36.13,36.14,77.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,106.0,1.0')] ).
cnf(114,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[39,77,97,96,95,94,92,89,86,83,80,79,78,102,1]),
[iquote('0:MRR:39.0,39.1,39.2,39.4,39.6,39.7,39.8,39.9,39.10,39.11,39.12,39.13,39.14,39.15,77.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,102.0,1.0')] ).
cnf(115,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv18_3r1r1r1(u,v,w)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[40,77,97,96,95,94,92,89,86,83,80,79,78,106,102,1]),
[iquote('0:MRR:40.1,40.2,40.3,40.4,40.5,40.7,40.8,40.9,40.10,40.11,40.12,40.13,40.14,40.15,40.16,77.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,106.0,102.0,1.0')] ).
cnf(116,plain,
ssNder1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10),
inference(mrr,[status(thm)],[41,77,106,102,97,96,95,94,92,89,86,83,80,79,78,110,1]),
[iquote('0:MRR:41.0,41.1,41.2,41.3,41.4,41.5,41.6,41.7,41.8,41.9,41.10,41.11,41.12,41.13,41.14,41.15,77.0,106.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,110.0,1.0')] ).
cnf(117,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[42,77,97,96,95,94,92,89,86,83,80,79,78,106,102,1]),
[iquote('0:MRR:42.1,42.2,42.3,42.4,42.5,42.6,42.7,42.9,42.10,42.11,42.12,42.13,42.14,42.15,42.16,77.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,106.0,102.0,1.0')] ).
cnf(118,plain,
( ~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[43,77,102,97,96,95,94,92,89,86,83,80,79,78,106,1]),
[iquote('0:MRR:43.0,43.1,43.2,43.3,43.4,43.5,43.6,43.7,43.9,43.10,43.11,43.12,43.13,43.14,43.15,77.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,106.0,1.0')] ).
cnf(121,plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv20_1r1(u)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[46,77,106,102,97,96,95,94,92,89,86,83,80,79,78,110,1]),
[iquote('0:MRR:46.0,46.2,46.4,46.5,46.6,46.7,46.8,46.9,46.10,46.11,46.12,46.13,46.14,46.15,46.16,46.17,77.0,106.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,110.0,1.0')] ).
cnf(123,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)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(mrr,[status(thm)],[48,77,106,102,97,96,95,94,92,89,86,83,80,79,78,110,1]),
[iquote('0:MRR:48.0,48.2,48.3,48.4,48.5,48.6,48.7,48.8,48.9,48.10,48.11,48.13,48.14,48.15,48.16,48.17,77.0,106.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,110.0,1.0')] ).
cnf(126,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(mrr,[status(thm)],[51,77,110,106,102,97,96,95,94,92,89,86,83,80,79,78,116,1]),
[iquote('0:MRR:51.0,51.2,51.3,51.4,51.5,51.6,51.7,51.8,51.9,51.10,51.11,51.13,51.14,51.15,51.16,51.17,51.18,77.0,110.0,106.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,116.0,1.0')] ).
cnf(132,plain,
( ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv20_1r1(u)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(mrr,[status(thm)],[57,77,110,106,102,97,96,95,94,92,89,86,83,80,79,78,116,1]),
[iquote('0:MRR:57.0,57.1,57.3,57.4,57.5,57.6,57.7,57.8,57.9,57.10,57.11,57.12,57.13,57.14,57.15,57.16,57.17,77.0,110.0,106.0,102.0,97.0,96.0,95.0,94.0,92.0,89.0,86.0,83.0,80.0,79.0,78.0,116.0,1.0')] ).
cnf(157,plain,
( ~ ssPv18_3r1r1r1(u,v,w)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[87,93]),
[iquote('0:Res:87.0,93.2')] ).
cnf(158,plain,
( ~ ssPv20_1r1(u)
| ssPv18_3r1r1r1(u,v,w)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[90,115]),
[iquote('0:Res:90.0,115.1')] ).
cnf(159,plain,
( ~ ssPv20_1r1(u)
| ssPv18_3r1r1r1(u,v,w) ),
inference(res,[status(thm),theory(equality)],[158,108]),
[iquote('0:Res:158.2,108.0')] ).
cnf(161,plain,
( ~ ssPv20_1r1(u)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[84,117]),
[iquote('0:Res:84.0,117.1')] ).
cnf(163,plain,
( ~ ssPv20_1r1(u)
| ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[161,108]),
[iquote('0:Res:161.2,108.0')] ).
cnf(164,plain,
( ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[84,118]),
[iquote('0:Res:84.0,118.0')] ).
cnf(165,plain,
( ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[164,108]),
[iquote('0:Res:164.2,108.0')] ).
cnf(169,plain,
( ~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv20_1r1(u)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[111,121]),
[iquote('0:Res:111.0,121.1')] ).
cnf(171,plain,
( ssPv20_1r1(u)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[98,169]),
[iquote('0:Res:98.0,169.0')] ).
cnf(174,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[163,114]),
[iquote('0:Res:163.1,114.1')] ).
cnf(176,plain,
( ~ ssPv20_1r1(u)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[165,174]),
[iquote('0:Res:165.1,174.1')] ).
cnf(177,plain,
( ~ ssPv20_1r1(u)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,skc28,z) ),
inference(res,[status(thm),theory(equality)],[176,104]),
[iquote('0:Res:176.3,104.0')] ).
cnf(178,plain,
( ~ ssPv20_1r1(u)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[177,88]),
[iquote('0:Res:177.2,88.0')] ).
cnf(180,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv18_3r1r1r1(u,v,w)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[178,157]),
[iquote('0:Res:178.1,157.1')] ).
cnf(181,plain,
( ~ ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[180,159]),
[iquote('0:MRR:180.1,159.1')] ).
cnf(182,plain,
~ ssPv20_1r1(u),
inference(res,[status(thm),theory(equality)],[181,82]),
[iquote('0:Res:181.1,82.0')] ).
cnf(184,plain,
ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[171,182]),
[iquote('0:MRR:171.0,182.0')] ).
cnf(187,plain,
( ~ 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)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10,x11) ),
inference(mrr,[status(thm)],[132,182]),
[iquote('0:MRR:132.1,182.0')] ).
cnf(188,plain,
( ~ ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[114,184]),
[iquote('0:MRR:114.0,184.0')] ).
cnf(205,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| 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)],[111,123]),
[iquote('0:Res:111.0,123.1')] ).
cnf(214,plain,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20,x8)
| ssPv4_17r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20,x8,x9,x10) ),
inference(res,[status(thm),theory(equality)],[103,187]),
[iquote('0:Res:103.0,187.0')] ).
cnf(215,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20,x8)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(res,[status(thm),theory(equality)],[214,126]),
[iquote('0:Res:214.1,126.1')] ).
cnf(216,plain,
( ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2,x3,x4,x5,x6,skc20,x7)
| ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,skc30,y) ),
inference(res,[status(thm),theory(equality)],[81,215]),
[iquote('0:Res:81.0,215.0')] ).
cnf(217,plain,
( ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,skc30,y) ),
inference(res,[status(thm),theory(equality)],[216,108]),
[iquote('0:Res:216.0,108.0')] ).
cnf(218,plain,
ssPv17_4r1r1r1r1(u,v,w,x),
inference(res,[status(thm),theory(equality)],[217,85]),
[iquote('0:Res:217.1,85.0')] ).
cnf(225,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(mrr,[status(thm)],[205,218]),
[iquote('0:MRR:205.0,218.0')] ).
cnf(229,plain,
ssPv11_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(res,[status(thm),theory(equality)],[225,99]),
[iquote('0:Res:225.1,99.0')] ).
cnf(231,plain,
( ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[188,229]),
[iquote('0:MRR:188.0,229.0')] ).
cnf(232,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(res,[status(thm),theory(equality)],[231,104]),
[iquote('0:Res:231.1,104.0')] ).
cnf(234,plain,
$false,
inference(unc,[status(thm)],[232,88]),
[iquote('0:UnC:232.0,88.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN877-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % 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 : Mon Jul 11 16:23:24 EDT 2022
% 0.12/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 74 clauses, backtracked 0 clauses, performed 0 splits and kept 137 clauses.
% 0.19/0.50 SPASS allocated 76359 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.05 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 0:00:00.06 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 8, length 107 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause9 clause10 clause11 clause12 clause13 clause14 clause15 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause27 clause28 clause29 clause31 clause33 clause35 clause36 clause39 clause40 clause41 clause42 clause43 clause46 clause48 clause51 clause57
% 0.19/0.50
%------------------------------------------------------------------------------