TSTP Solution File: SYN890-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN890-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 12:30:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 27
% Syntax : Number of clauses : 68 ( 25 unt; 18 nHn; 68 RR)
% Number of literals : 353 ( 0 equ; 266 neg)
% Maximal clause size : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 25 ( 24 usr; 2 prp; 0-15 aty)
% Number of functors : 22 ( 22 usr; 22 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN890-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN890-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN890-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.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('SYN890-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ 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
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv19_2r1r1(u,v)
| ssPv20_1r1(u) ),
file('SYN890-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4) ),
file('SYN890-1.p',unknown),
[] ).
cnf(24,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('SYN890-1.p',unknown),
[] ).
cnf(27,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('SYN890-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ 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_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN890-1.p',unknown),
[] ).
cnf(31,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('SYN890-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ 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('SYN890-1.p',unknown),
[] ).
cnf(36,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('SYN890-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18) ),
file('SYN890-1.p',unknown),
[] ).
cnf(39,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('SYN890-1.p',unknown),
[] ).
cnf(46,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ 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)
| ~ ssPv19_2r1r1(u,v)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_0
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
file('SYN890-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv19_2r1r1(u,v) ),
file('SYN890-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ ssNder1_1r1(u)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ~ ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssPv19_2r1r1(u,v)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2) ),
file('SYN890-1.p',unknown),
[] ).
cnf(87,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(88,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,87,1]),
[iquote('0:MRR:3.0,3.1,87.0,1.0')] ).
cnf(89,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[4,87,88,1]),
[iquote('0:MRR:4.0,4.1,4.2,87.0,88.0,1.0')] ).
cnf(90,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[5,87,88,89,1]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,87.0,88.0,89.0,1.0')] ).
cnf(92,plain,
~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
inference(mrr,[status(thm)],[7,87,89,88,1]),
[iquote('0:MRR:7.0,7.1,7.2,7.4,87.0,89.0,88.0,1.0')] ).
cnf(93,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[8,87,89,88,90,1]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,87.0,89.0,88.0,90.0,1.0')] ).
cnf(96,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[11,87,90,89,88,93,1]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,87.0,90.0,89.0,88.0,93.0,1.0')] ).
cnf(98,plain,
~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc27),
inference(mrr,[status(thm)],[13,87,93,90,89,88,1]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,13.6,87.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(99,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[14,87,93,90,89,88,96,1]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,87.0,93.0,90.0,89.0,88.0,96.0,1.0')] ).
cnf(100,plain,
ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24),
inference(mrr,[status(thm)],[15,87,93,90,89,88,96,1]),
[iquote('0:MRR:15.0,15.1,15.2,15.3,15.4,15.5,15.6,87.0,93.0,90.0,89.0,88.0,96.0,1.0')] ).
cnf(101,plain,
~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc25),
inference(mrr,[status(thm)],[16,87,96,93,90,89,88,1]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,16.5,16.7,87.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(102,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[17,87,96,93,90,89,88,99,1]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,87.0,96.0,93.0,90.0,89.0,88.0,99.0,1.0')] ).
cnf(104,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[19,87,99,96,93,90,89,88,102,1]),
[iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,87.0,99.0,96.0,93.0,90.0,89.0,88.0,102.0,1.0')] ).
cnf(105,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv20_1r1(u)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[20,87,96,93,90,89,88,99,1]),
[iquote('0:MRR:20.0,20.2,20.3,20.4,20.5,20.6,20.7,20.8,87.0,96.0,93.0,90.0,89.0,88.0,99.0,1.0')] ).
cnf(106,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[21,87,102,99,96,93,90,89,88,104,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,87.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,104.0,1.0')] ).
cnf(109,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[24,87,104,102,99,96,93,90,89,88,106,1]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,24.4,24.5,24.6,24.7,24.8,24.9,24.10,87.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,1.0')] ).
cnf(112,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[27,87,106,104,102,99,96,93,90,89,88,109,1]),
[iquote('0:MRR:27.0,27.1,27.2,27.3,27.4,27.5,27.6,27.7,27.8,27.9,27.10,27.11,87.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,109.0,1.0')] ).
cnf(115,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
inference(mrr,[status(thm)],[30,87,102,99,96,93,90,89,88,106,104,1]),
[iquote('0:MRR:30.1,30.3,30.4,30.5,30.6,30.7,30.8,30.9,30.10,30.11,30.12,87.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,106.0,104.0,1.0')] ).
cnf(116,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[31,87,109,106,104,102,99,96,93,90,89,88,112,1]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,87.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).
cnf(117,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[32,87,109,106,104,102,99,96,93,90,89,88,112,1]),
[iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,32.5,32.6,32.7,32.8,32.9,32.10,32.11,32.12,87.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,112.0,1.0')] ).
cnf(121,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[36,87,112,109,106,104,102,99,96,93,90,89,88,116,1]),
[iquote('0:MRR:36.0,36.1,36.2,36.3,36.4,36.5,36.6,36.7,36.8,36.9,36.10,36.11,36.12,36.13,87.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,116.0,1.0')] ).
cnf(123,plain,
ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc18),
inference(mrr,[status(thm)],[38,87,112,109,106,104,102,99,96,93,90,89,88,116,1]),
[iquote('0:MRR:38.0,38.1,38.2,38.3,38.4,38.5,38.6,38.7,38.8,38.9,38.10,38.11,38.12,38.13,87.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,116.0,1.0')] ).
cnf(124,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[39,87,116,112,109,106,104,102,99,96,93,90,89,88,1]),
[iquote('0:MRR:39.0,39.1,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.9,39.10,39.11,39.12,39.14,87.0,116.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,1.0')] ).
cnf(131,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ 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) ),
inference(mrr,[status(thm)],[46,87,112,109,106,104,102,99,96,93,90,89,88,116,1]),
[iquote('0:MRR:46.0,46.2,46.3,46.4,46.6,46.7,46.8,46.9,46.10,46.11,46.12,46.14,46.15,46.16,87.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,116.0,1.0')] ).
cnf(134,plain,
( ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[49,87,116,112,109,106,104,102,99,96,93,90,89,88,121,1]),
[iquote('0:MRR:49.0,49.1,49.2,49.4,49.5,49.6,49.7,49.8,49.9,49.10,49.11,49.12,49.13,49.14,49.15,87.0,116.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,121.0,1.0')] ).
cnf(135,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[50,87,116,112,109,106,104,102,99,96,93,90,89,88,121,1]),
[iquote('0:MRR:50.0,50.2,50.3,50.4,50.5,50.6,50.7,50.8,50.9,50.10,50.11,50.12,50.14,50.15,50.16,87.0,116.0,112.0,109.0,106.0,104.0,102.0,99.0,96.0,93.0,90.0,89.0,88.0,121.0,1.0')] ).
cnf(178,plain,
( ssPv20_1r1(u)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[100,105]),
[iquote('0:Res:100.0,105.0')] ).
cnf(179,plain,
( ssPv20_1r1(u)
| ssPv19_2r1r1(u,v) ),
inference(res,[status(thm),theory(equality)],[178,92]),
[iquote('0:Res:178.2,92.0')] ).
cnf(190,plain,
( ~ ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4) ),
inference(res,[status(thm),theory(equality)],[100,115]),
[iquote('0:Res:100.0,115.1')] ).
cnf(195,plain,
( ~ ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4,x5,x6,x7,x8) ),
inference(res,[status(thm),theory(equality)],[190,134]),
[iquote('0:Res:190.2,134.0')] ).
cnf(196,plain,
( ~ ssPv20_1r1(u)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4,x5,x6,x7,x8) ),
inference(obv,[status(thm),theory(equality)],[195]),
[iquote('0:Obv:195.1')] ).
cnf(197,plain,
( ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[196,179]),
[iquote('0:MRR:196.0,179.0')] ).
cnf(198,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(res,[status(thm),theory(equality)],[117,131]),
[iquote('0:Res:117.0,131.2')] ).
cnf(202,plain,
( ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[197,124]),
[iquote('0:Res:197.2,124.0')] ).
cnf(205,plain,
ssPv19_2r1r1(u,v),
inference(res,[status(thm),theory(equality)],[202,92]),
[iquote('0:Res:202.1,92.0')] ).
cnf(208,plain,
( ~ ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(mrr,[status(thm)],[198,205]),
[iquote('0:MRR:198.0,205.0')] ).
cnf(210,plain,
( ~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9)
| ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(mrr,[status(thm)],[135,205]),
[iquote('0:MRR:135.0,205.0')] ).
cnf(226,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv12_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
inference(res,[status(thm),theory(equality)],[123,210]),
[iquote('0:Res:123.0,210.0')] ).
cnf(227,plain,
( ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1) ),
inference(res,[status(thm),theory(equality)],[226,208]),
[iquote('0:Res:226.1,208.0')] ).
cnf(228,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(res,[status(thm),theory(equality)],[227,101]),
[iquote('0:Res:227.0,101.0')] ).
cnf(229,plain,
$false,
inference(unc,[status(thm)],[228,98]),
[iquote('0:UnC:228.0,98.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN890-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n004.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 20:42:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 49 clauses, backtracked 0 clauses, performed 0 splits and kept 128 clauses.
% 0.19/0.51 SPASS allocated 76437 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.51 0:00:00.06 for the input.
% 0.19/0.51 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.00 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.06 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 4, length 68 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause7 clause8 clause11 clause13 clause14 clause15 clause16 clause17 clause19 clause20 clause21 clause24 clause27 clause30 clause31 clause32 clause36 clause38 clause39 clause46 clause49 clause50
% 0.19/0.51
%------------------------------------------------------------------------------