TSTP Solution File: SYN843-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN843-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 12:27:05 EDT 2022
% Result : Unsatisfiable 0.92s 1.14s
% Output : Refutation 1.02s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 35
% Syntax : Number of clauses : 90 ( 29 unt; 20 nHn; 90 RR)
% Number of literals : 475 ( 0 equ; 363 neg)
% Maximal clause size : 20 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 34 ( 33 usr; 2 prp; 0-16 aty)
% Number of functors : 23 ( 23 usr; 23 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN843-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN843-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN843-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN843-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_0
| ssNder1_4r1r1r1r1(u,v,w,x) ),
file('SYN843-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(u,v,w,x,skc30) ),
file('SYN843-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31)
| ~ ssNder1_0 ),
file('SYN843-1.p',unknown),
[] ).
cnf(34,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('SYN843-1.p',unknown),
[] ).
cnf(38,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('SYN843-1.p',unknown),
[] ).
cnf(49,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('SYN843-1.p',unknown),
[] ).
cnf(50,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('SYN843-1.p',unknown),
[] ).
cnf(71,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('SYN843-1.p',unknown),
[] ).
cnf(75,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('SYN843-1.p',unknown),
[] ).
cnf(97,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('SYN843-1.p',unknown),
[] ).
cnf(118,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('SYN843-1.p',unknown),
[] ).
cnf(133,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)
| ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ~ 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
| ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN843-1.p',unknown),
[] ).
cnf(138,axiom,
( ~ ssNder1_1r1(u)
| ~ 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_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_0
| ssPv16_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN843-1.p',unknown),
[] ).
cnf(140,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)
| ~ ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
file('SYN843-1.p',unknown),
[] ).
cnf(142,axiom,
( ~ ssNder1_1r1(u)
| ~ 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_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_0
| ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN843-1.p',unknown),
[] ).
cnf(144,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)
| ~ ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN843-1.p',unknown),
[] ).
cnf(145,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('SYN843-1.p',unknown),
[] ).
cnf(176,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('SYN843-1.p',unknown),
[] ).
cnf(187,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv17_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)
| ~ ssPv16_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN843-1.p',unknown),
[] ).
cnf(190,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv17_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)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN843-1.p',unknown),
[] ).
cnf(202,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('SYN843-1.p',unknown),
[] ).
cnf(232,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('SYN843-1.p',unknown),
[] ).
cnf(234,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('SYN843-1.p',unknown),
[] ).
cnf(265,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('SYN843-1.p',unknown),
[] ).
cnf(300,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('SYN843-1.p',unknown),
[] ).
cnf(301,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('SYN843-1.p',unknown),
[] ).
cnf(347,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)
| ~ ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv17_4r1r1r1r1(u,v,w,x) ),
file('SYN843-1.p',unknown),
[] ).
cnf(350,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)
| ~ ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN843-1.p',unknown),
[] ).
cnf(377,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)
| ~ ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
file('SYN843-1.p',unknown),
[] ).
cnf(447,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)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
file('SYN843-1.p',unknown),
[] ).
cnf(455,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv5_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)
| ~ ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssNder1_0
| ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
file('SYN843-1.p',unknown),
[] ).
cnf(577,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(578,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,577,1]),
[iquote('0:MRR:3.0,3.1,577.0,1.0')] ).
cnf(588,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[10,577,578,1]),
[iquote('0:MRR:10.0,10.1,10.2,577.0,578.0,1.0')] ).
cnf(598,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[21,577,578,588,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,577.0,578.0,588.0,1.0')] ).
cnf(599,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,skc30),
inference(mrr,[status(thm)],[24,577,578,588,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,577.0,578.0,588.0,1.0')] ).
cnf(602,plain,
~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
inference(mrr,[status(thm)],[27,577,588,578,1]),
[iquote('0:MRR:27.0,27.1,27.2,27.4,577.0,588.0,578.0,1.0')] ).
cnf(609,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[34,577,588,578,598,1]),
[iquote('0:MRR:34.0,34.1,34.2,34.3,34.4,577.0,588.0,578.0,598.0,1.0')] ).
cnf(613,plain,
~ ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,skc29),
inference(mrr,[status(thm)],[38,577,598,588,578,1]),
[iquote('0:MRR:38.0,38.1,38.2,38.3,38.5,577.0,598.0,588.0,578.0,1.0')] ).
cnf(624,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[49,577,598,588,578,609,1]),
[iquote('0:MRR:49.0,49.1,49.2,49.3,49.4,49.5,577.0,598.0,588.0,578.0,609.0,1.0')] ).
cnf(625,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26),
inference(mrr,[status(thm)],[50,577,598,588,578,609,1]),
[iquote('0:MRR:50.0,50.1,50.2,50.3,50.4,50.5,577.0,598.0,588.0,578.0,609.0,1.0')] ).
cnf(646,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[71,577,609,598,588,578,624,1]),
[iquote('0:MRR:71.0,71.1,71.2,71.3,71.4,71.5,71.6,577.0,609.0,598.0,588.0,578.0,624.0,1.0')] ).
cnf(650,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
inference(mrr,[status(thm)],[75,577,624,609,598,588,578,1]),
[iquote('0:MRR:75.0,75.1,75.2,75.3,75.4,75.5,75.7,577.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(672,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[97,577,624,609,598,588,578,646,1]),
[iquote('0:MRR:97.0,97.1,97.2,97.3,97.4,97.5,97.6,97.7,577.0,624.0,609.0,598.0,588.0,578.0,646.0,1.0')] ).
cnf(693,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[118,577,646,624,609,598,588,578,672,1]),
[iquote('0:MRR:118.0,118.1,118.2,118.3,118.4,118.5,118.6,118.7,118.8,577.0,646.0,624.0,609.0,598.0,588.0,578.0,672.0,1.0')] ).
cnf(708,plain,
( ~ ssPv17_4r1r1r1r1(u,v,w,x)
| ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[133,577,646,624,609,598,588,578,672,1]),
[iquote('0:MRR:133.0,133.1,133.2,133.3,133.5,133.6,133.7,133.8,133.9,577.0,646.0,624.0,609.0,598.0,588.0,578.0,672.0,1.0')] ).
cnf(713,plain,
( ~ ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv16_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[138,577,646,624,609,598,588,578,672,1]),
[iquote('0:MRR:138.0,138.1,138.2,138.4,138.5,138.6,138.7,138.8,138.9,577.0,646.0,624.0,609.0,598.0,588.0,578.0,672.0,1.0')] ).
cnf(715,plain,
( ~ ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,y,z) ),
inference(mrr,[status(thm)],[140,577,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:140.0,140.1,140.2,140.3,140.4,140.5,140.6,140.7,140.9,577.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(717,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[142,577,646,624,609,598,588,578,672,1]),
[iquote('0:MRR:142.0,142.2,142.3,142.4,142.5,142.6,142.7,142.8,142.9,577.0,646.0,624.0,609.0,598.0,588.0,578.0,672.0,1.0')] ).
cnf(719,plain,
( ~ ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
inference(mrr,[status(thm)],[144,577,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:144.0,144.1,144.2,144.3,144.4,144.5,144.6,144.7,144.9,577.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(720,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[145,577,672,646,624,609,598,588,578,693,1]),
[iquote('0:MRR:145.0,145.1,145.2,145.3,145.4,145.5,145.6,145.7,145.8,145.9,577.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,693.0,1.0')] ).
cnf(751,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[176,577,693,672,646,624,609,598,588,578,720,1]),
[iquote('0:MRR:176.0,176.1,176.2,176.3,176.4,176.5,176.6,176.7,176.8,176.9,176.10,577.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,720.0,1.0')] ).
cnf(762,plain,
( ~ ssPv16_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[187,577,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:187.0,187.2,187.3,187.4,187.5,187.6,187.7,187.8,187.10,577.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(765,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[190,577,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:190.0,190.3,190.4,190.5,190.6,190.7,190.8,190.9,190.11,577.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(777,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[202,577,720,693,672,646,624,609,598,588,578,751,1]),
[iquote('0:MRR:202.0,202.1,202.2,202.3,202.4,202.5,202.6,202.7,202.8,202.9,202.10,202.11,577.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,751.0,1.0')] ).
cnf(807,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[232,577,751,720,693,672,646,624,609,598,588,578,777,1]),
[iquote('0:MRR:232.0,232.1,232.2,232.3,232.4,232.5,232.6,232.7,232.8,232.9,232.10,232.11,232.12,577.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,777.0,1.0')] ).
cnf(809,plain,
~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc21),
inference(mrr,[status(thm)],[234,577,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:234.0,234.1,234.2,234.3,234.4,234.5,234.6,234.7,234.8,234.9,234.10,234.11,234.13,577.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(840,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[265,577,777,751,720,693,672,646,624,609,598,588,578,807,1]),
[iquote('0:MRR:265.0,265.1,265.2,265.3,265.4,265.5,265.6,265.7,265.8,265.9,265.10,265.11,265.12,265.13,577.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,807.0,1.0')] ).
cnf(875,plain,
ssNder1_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9),
inference(mrr,[status(thm)],[300,577,807,777,751,720,693,672,646,624,609,598,588,578,840,1]),
[iquote('0:MRR:300.0,300.1,300.2,300.3,300.4,300.5,300.6,300.7,300.8,300.9,300.10,300.11,300.12,300.13,300.14,577.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,840.0,1.0')] ).
cnf(876,plain,
ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16),
inference(mrr,[status(thm)],[301,577,807,777,751,720,693,672,646,624,609,598,588,578,840,1]),
[iquote('0:MRR:301.0,301.1,301.2,301.3,301.4,301.5,301.6,301.7,301.8,301.9,301.10,301.11,301.12,301.13,301.14,577.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,840.0,1.0')] ).
cnf(922,plain,
( ~ ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(mrr,[status(thm)],[347,577,875,840,807,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:347.0,347.1,347.2,347.3,347.4,347.5,347.6,347.7,347.8,347.9,347.10,347.11,347.12,347.13,347.14,347.16,577.0,875.0,840.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(925,plain,
( ~ ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[350,577,875,840,807,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:350.0,350.1,350.2,350.3,350.4,350.5,350.6,350.7,350.8,350.9,350.10,350.11,350.12,350.13,350.14,350.16,577.0,875.0,840.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(952,plain,
( ~ ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[377,577,875,840,807,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:377.0,377.1,377.2,377.3,377.4,377.5,377.6,377.7,377.8,377.9,377.10,377.11,377.12,377.13,377.14,377.16,577.0,875.0,840.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(1022,plain,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[447,577,875,840,807,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:447.0,447.1,447.2,447.3,447.4,447.5,447.6,447.7,447.8,447.9,447.10,447.11,447.12,447.13,447.14,447.16,577.0,875.0,840.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(1030,plain,
( ~ ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10)
| ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,x10) ),
inference(mrr,[status(thm)],[455,577,875,840,807,777,751,720,693,672,646,624,609,598,588,578,1]),
[iquote('0:MRR:455.0,455.2,455.3,455.4,455.5,455.6,455.7,455.8,455.9,455.10,455.11,455.12,455.13,455.14,455.15,455.17,577.0,875.0,840.0,807.0,777.0,751.0,720.0,693.0,672.0,646.0,624.0,609.0,598.0,588.0,578.0,1.0')] ).
cnf(1204,plain,
ssPv16_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2),
inference(res,[status(thm),theory(equality)],[599,713]),
[iquote('0:Res:599.0,713.0')] ).
cnf(1214,plain,
ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26,x1,x2),
inference(res,[status(thm),theory(equality)],[625,717]),
[iquote('0:Res:625.0,717.0')] ).
cnf(1396,plain,
( ~ ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2)
| ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[1204,762]),
[iquote('0:Res:1204.0,762.0')] ).
cnf(1585,plain,
( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv1_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
inference(res,[status(thm),theory(equality)],[876,1022]),
[iquote('0:Res:876.0,1022.0')] ).
cnf(1751,plain,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
inference(res,[status(thm),theory(equality)],[1585,1030]),
[iquote('0:Res:1585.2,1030.0')] ).
cnf(1752,plain,
( ~ ssPv5_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
inference(obv,[status(thm),theory(equality)],[1751]),
[iquote('0:Obv:1751.1')] ).
cnf(1753,plain,
( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv7_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16) ),
inference(mrr,[status(thm)],[1752,876]),
[iquote('0:MRR:1752.0,876.0')] ).
cnf(1765,plain,
( ssPv16_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[1753,952]),
[iquote('0:Res:1753.2,952.0')] ).
cnf(1767,plain,
( ssPv17_16r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9,skc16)
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[1765,925]),
[iquote('0:Res:1765.0,925.0')] ).
cnf(1768,plain,
( ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[1767,922]),
[iquote('0:Res:1767.0,922.0')] ).
cnf(1769,plain,
( ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv17_4r1r1r1r1(u,v,w,x) ),
inference(res,[status(thm),theory(equality)],[1768,809]),
[iquote('0:Res:1768.0,809.0')] ).
cnf(1778,plain,
ssPv17_4r1r1r1r1(u,v,w,x),
inference(res,[status(thm),theory(equality)],[1769,602]),
[iquote('0:Res:1769.0,602.0')] ).
cnf(1799,plain,
ssPv17_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[708,1778]),
[iquote('0:MRR:708.0,1778.0')] ).
cnf(1828,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[765,1799]),
[iquote('0:MRR:765.1,1799.0')] ).
cnf(1830,plain,
( ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2) ),
inference(mrr,[status(thm)],[1396,1799]),
[iquote('0:MRR:1396.0,1799.0')] ).
cnf(1871,plain,
( ~ ssPv14_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2)
| ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2)
| ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,z,x1,x2) ),
inference(res,[status(thm),theory(equality)],[1830,1828]),
[iquote('0:Res:1830.1,1828.0')] ).
cnf(1872,plain,
( ssPv13_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,skc26,z,x1)
| ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,skc26,z,x1) ),
inference(res,[status(thm),theory(equality)],[1214,1871]),
[iquote('0:Res:1214.0,1871.0')] ).
cnf(1873,plain,
( ssPv15_9r1r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,skc26,z,x1)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,skc26,z) ),
inference(res,[status(thm),theory(equality)],[1872,719]),
[iquote('0:Res:1872.0,719.0')] ).
cnf(1874,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,skc30,y,skc26,z)
| ssPv15_6r1r1r1r1r1r1(u,v,w,x,skc30,y) ),
inference(res,[status(thm),theory(equality)],[1873,715]),
[iquote('0:Res:1873.0,715.0')] ).
cnf(1875,plain,
ssPv15_6r1r1r1r1r1r1(u,v,w,x,skc30,y),
inference(res,[status(thm),theory(equality)],[1874,650]),
[iquote('0:Res:1874.0,650.0')] ).
cnf(1890,plain,
$false,
inference(unc,[status(thm)],[1875,613]),
[iquote('0:UnC:1875.0,613.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SYN843-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon Jul 11 13:23:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.92/1.14
% 0.92/1.14 SPASS V 3.9
% 0.92/1.14 SPASS beiseite: Proof found.
% 0.92/1.14 % SZS status Theorem
% 0.92/1.14 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.92/1.14 SPASS derived 700 clauses, backtracked 0 clauses, performed 0 splits and kept 951 clauses.
% 0.92/1.14 SPASS allocated 81296 KBytes.
% 0.92/1.14 SPASS spent 0:00:00.78 on the problem.
% 0.92/1.14 0:00:00.15 for the input.
% 0.92/1.14 0:00:00.00 for the FLOTTER CNF translation.
% 0.92/1.14 0:00:00.02 for inferences.
% 0.92/1.14 0:00:00.00 for the backtracking.
% 0.92/1.14 0:00:00.46 for the reduction.
% 0.92/1.14
% 0.92/1.14
% 0.92/1.14 Here is a proof with depth 7, length 90 :
% 0.92/1.14 % SZS output start Refutation
% See solution above
% 1.02/1.18 Formulae used in the proof : clause1 clause2 clause3 clause10 clause21 clause24 clause27 clause34 clause38 clause49 clause50 clause71 clause75 clause97 clause118 clause133 clause138 clause140 clause142 clause144 clause145 clause176 clause187 clause190 clause202 clause232 clause234 clause265 clause300 clause301 clause347 clause350 clause377 clause447 clause455
% 1.02/1.18
%------------------------------------------------------------------------------