TSTP Solution File: SYN869-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 12:29:15 EDT 2022
% Result : Unsatisfiable 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 26
% Syntax : Number of clauses : 71 ( 25 unt; 16 nHn; 71 RR)
% Number of literals : 356 ( 0 equ; 272 neg)
% Maximal clause size : 19 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 26 ( 25 usr; 2 prp; 0-15 aty)
% Number of functors : 21 ( 21 usr; 21 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssNder1_0,
file('SYN869-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssNder1_0
| ssNder1_1r1(u) ),
file('SYN869-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_0
| ssNder1_2r1r1(u,v) ),
file('SYN869-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_0
| ssNder1_3r1r1r1(u,v,w) ),
file('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.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('SYN869-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_0
| ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3) ),
file('SYN869-1.p',unknown),
[] ).
cnf(19,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('SYN869-1.p',unknown),
[] ).
cnf(20,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('SYN869-1.p',unknown),
[] ).
cnf(21,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('SYN869-1.p',unknown),
[] ).
cnf(23,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('SYN869-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssNder1_1r1(u)
| ~ 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)
| ~ ssPv19_2r1r1(u,v)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_0
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
file('SYN869-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ 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('SYN869-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssNder1_1r1(u)
| ~ ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4)
| ~ ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3)
| ~ ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z)
| ~ ssNder1_5r1r1r1r1r1(u,v,w,x,y)
| ~ ssNder1_4r1r1r1r1(u,v,w,x)
| ~ ssNder1_3r1r1r1(u,v,w)
| ~ ssNder1_2r1r1(u,v)
| ~ ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssNder1_0
| ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20) ),
file('SYN869-1.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)
| ~ 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('SYN869-1.p',unknown),
[] ).
cnf(31,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('SYN869-1.p',unknown),
[] ).
cnf(37,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)
| ~ 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)
| ~ 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)
| ~ 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 ),
file('SYN869-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ ssPv20_1r1(u)
| ~ ssNder1_1r1(u)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ 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_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8)
| ~ ssNder1_0 ),
file('SYN869-1.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)
| ~ 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)
| ssPv20_1r1(u) ),
file('SYN869-1.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)
| ~ 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)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv19_2r1r1(u,v) ),
file('SYN869-1.p',unknown),
[] ).
cnf(57,plain,
ssNder1_1r1(u),
inference(mrr,[status(thm)],[2,1]),
[iquote('0:MRR:2.0,1.0')] ).
cnf(58,plain,
ssNder1_2r1r1(u,v),
inference(mrr,[status(thm)],[3,57,1]),
[iquote('0:MRR:3.0,3.1,57.0,1.0')] ).
cnf(59,plain,
ssNder1_3r1r1r1(u,v,w),
inference(mrr,[status(thm)],[4,57,58,1]),
[iquote('0:MRR:4.0,4.1,4.2,57.0,58.0,1.0')] ).
cnf(60,plain,
ssNder1_4r1r1r1r1(u,v,w,x),
inference(mrr,[status(thm)],[5,57,58,59,1]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,57.0,58.0,59.0,1.0')] ).
cnf(62,plain,
~ ssPv16_5r1r1r1r1r1(u,v,w,x,skc31),
inference(mrr,[status(thm)],[7,57,59,58,1]),
[iquote('0:MRR:7.0,7.1,7.2,7.4,57.0,59.0,58.0,1.0')] ).
cnf(63,plain,
ssNder1_5r1r1r1r1r1(u,v,w,x,y),
inference(mrr,[status(thm)],[8,57,59,58,60,1]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,57.0,59.0,58.0,60.0,1.0')] ).
cnf(66,plain,
ssNder1_6r1r1r1r1r1r1(u,v,w,x,y,z),
inference(mrr,[status(thm)],[11,57,60,59,58,63,1]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,11.5,57.0,60.0,59.0,58.0,63.0,1.0')] ).
cnf(67,plain,
ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,skc26),
inference(mrr,[status(thm)],[12,57,60,59,58,63,1]),
[iquote('0:MRR:12.0,12.1,12.2,12.3,12.4,12.5,57.0,60.0,59.0,58.0,63.0,1.0')] ).
cnf(69,plain,
ssNder1_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1),
inference(mrr,[status(thm)],[14,57,63,60,59,58,66,1]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,14.5,14.6,57.0,63.0,60.0,59.0,58.0,66.0,1.0')] ).
cnf(70,plain,
ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24),
inference(mrr,[status(thm)],[15,57,63,60,59,58,66,1]),
[iquote('0:MRR:15.0,15.1,15.2,15.3,15.4,15.5,15.6,57.0,63.0,60.0,59.0,58.0,66.0,1.0')] ).
cnf(72,plain,
ssNder1_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2),
inference(mrr,[status(thm)],[17,57,66,63,60,59,58,69,1]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,17.5,17.6,17.7,57.0,66.0,63.0,60.0,59.0,58.0,69.0,1.0')] ).
cnf(73,plain,
ssNder1_9r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3),
inference(mrr,[status(thm)],[18,57,69,66,63,60,59,58,72,1]),
[iquote('0:MRR:18.0,18.1,18.2,18.3,18.4,18.5,18.6,18.7,18.8,57.0,69.0,66.0,63.0,60.0,59.0,58.0,72.0,1.0')] ).
cnf(74,plain,
ssNder1_10r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4),
inference(mrr,[status(thm)],[19,57,72,69,66,63,60,59,58,73,1]),
[iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,19.5,19.6,19.7,19.8,19.9,57.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,73.0,1.0')] ).
cnf(75,plain,
ssNder1_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5),
inference(mrr,[status(thm)],[20,57,73,72,69,66,63,60,59,58,74,1]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,20.5,20.6,20.7,20.8,20.9,20.10,57.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,74.0,1.0')] ).
cnf(76,plain,
ssNder1_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6),
inference(mrr,[status(thm)],[21,57,74,73,72,69,66,63,60,59,58,75,1]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,21.5,21.6,21.7,21.8,21.9,21.10,21.11,57.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,75.0,1.0')] ).
cnf(78,plain,
~ ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,skc23),
inference(mrr,[status(thm)],[23,57,75,74,73,72,69,66,63,60,59,58,1]),
[iquote('0:MRR:23.0,23.1,23.2,23.3,23.4,23.5,23.6,23.7,23.8,23.9,23.10,23.12,57.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,1.0')] ).
cnf(79,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ 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)],[24,57,73,72,69,66,63,60,59,58,74,1]),
[iquote('0:MRR:24.0,24.1,24.3,24.4,24.5,24.6,24.7,24.8,24.10,24.11,24.12,57.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,74.0,1.0')] ).
cnf(80,plain,
ssNder1_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7),
inference(mrr,[status(thm)],[25,57,75,74,73,72,69,66,63,60,59,58,76,1]),
[iquote('0:MRR:25.0,25.1,25.2,25.3,25.4,25.5,25.6,25.7,25.8,25.9,25.10,25.11,25.12,57.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,76.0,1.0')] ).
cnf(81,plain,
ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,skc20),
inference(mrr,[status(thm)],[26,57,75,74,73,72,69,66,63,60,59,58,76,1]),
[iquote('0:MRR:26.0,26.1,26.2,26.3,26.4,26.5,26.6,26.7,26.8,26.9,26.10,26.11,26.12,57.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,76.0,1.0')] ).
cnf(84,plain,
ssNder1_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8),
inference(mrr,[status(thm)],[29,57,76,75,74,73,72,69,66,63,60,59,58,80,1]),
[iquote('0:MRR:29.0,29.1,29.2,29.3,29.4,29.5,29.6,29.7,29.8,29.9,29.10,29.11,29.12,29.13,57.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,80.0,1.0')] ).
cnf(86,plain,
~ ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,skc19),
inference(mrr,[status(thm)],[31,57,80,76,75,74,73,72,69,66,63,60,59,58,1]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,31.4,31.5,31.6,31.7,31.8,31.9,31.10,31.11,31.12,31.14,57.0,80.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,1.0')] ).
cnf(92,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[37,57,76,75,74,73,72,69,66,63,60,59,58,80,1]),
[iquote('0:MRR:37.0,37.2,37.4,37.5,37.6,37.7,37.9,37.10,37.11,37.12,37.13,37.15,37.16,37.17,57.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,80.0,1.0')] ).
cnf(93,plain,
( ~ ssPv20_1r1(u)
| ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[38,57,76,75,74,73,72,69,66,63,60,59,58,80,1]),
[iquote('0:MRR:38.1,38.3,38.4,38.5,38.6,38.8,38.9,38.10,38.11,38.12,38.13,38.14,38.15,38.17,57.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,80.0,1.0')] ).
cnf(94,plain,
( ssPv20_1r1(u)
| 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)],[39,57,80,76,75,74,73,72,69,66,63,60,59,58,84,1]),
[iquote('0:MRR:39.0,39.1,39.2,39.3,39.4,39.5,39.6,39.7,39.8,39.9,39.10,39.11,39.12,39.13,39.14,57.0,80.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,84.0,1.0')] ).
cnf(98,plain,
( ssPv19_2r1r1(u,v)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7)
| ssPv6_15r1r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8,x9) ),
inference(mrr,[status(thm)],[43,57,80,76,75,74,73,72,69,66,63,60,59,58,84,1]),
[iquote('0:MRR:43.0,43.1,43.2,43.3,43.4,43.5,43.6,43.7,43.8,43.9,43.10,43.11,43.12,43.13,43.14,57.0,80.0,76.0,75.0,74.0,73.0,72.0,69.0,66.0,63.0,60.0,59.0,58.0,84.0,1.0')] ).
cnf(116,plain,
( ssPv20_1r1(u)
| ssPv19_2r1r1(u,v)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[94,86]),
[iquote('0:Res:94.3,86.0')] ).
cnf(117,plain,
( ssPv20_1r1(u)
| ssPv19_2r1r1(u,v) ),
inference(res,[status(thm),theory(equality)],[116,62]),
[iquote('0:Res:116.2,62.0')] ).
cnf(120,plain,
( ~ ssPv19_2r1r1(u,v)
| 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)],[70,79]),
[iquote('0:Res:70.0,79.1')] ).
cnf(121,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)],[117,120]),
[iquote('0:Res:117.1,120.0')] ).
cnf(127,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
inference(res,[status(thm),theory(equality)],[81,92]),
[iquote('0:Res:81.0,92.3')] ).
cnf(129,plain,
( ~ ssPv19_2r1r1(u,v)
| ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[121,127]),
[iquote('0:Res:121.2,127.2')] ).
cnf(130,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(mrr,[status(thm)],[129,117]),
[iquote('0:MRR:129.0,117.1')] ).
cnf(131,plain,
( ssPv20_1r1(u)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[67,130]),
[iquote('0:Res:67.0,130.0')] ).
cnf(132,plain,
ssPv20_1r1(u),
inference(res,[status(thm),theory(equality)],[131,62]),
[iquote('0:Res:131.1,62.0')] ).
cnf(135,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ~ ssPv7_14r1r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7,x8) ),
inference(mrr,[status(thm)],[93,132]),
[iquote('0:MRR:93.0,132.0')] ).
cnf(139,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ~ ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[81,135]),
[iquote('0:Res:81.0,135.2')] ).
cnf(145,plain,
( ssPv19_2r1r1(u,v)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6)
| ssPv8_13r1r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6,x7) ),
inference(res,[status(thm),theory(equality)],[98,86]),
[iquote('0:Res:98.3,86.0')] ).
cnf(146,plain,
( ssPv19_2r1r1(u,v)
| ssPv9_12r1r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5,x6) ),
inference(res,[status(thm),theory(equality)],[145,78]),
[iquote('0:Res:145.2,78.0')] ).
cnf(147,plain,
( ~ ssPv13_8r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2)
| ssPv19_2r1r1(u,v) ),
inference(res,[status(thm),theory(equality)],[146,139]),
[iquote('0:Res:146.1,139.1')] ).
cnf(149,plain,
ssPv19_2r1r1(u,v),
inference(res,[status(thm),theory(equality)],[70,147]),
[iquote('0:Res:70.0,147.0')] ).
cnf(150,plain,
( ssPv16_5r1r1r1r1r1(u,v,w,x,y)
| ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,skc24,x2,x3,x4) ),
inference(mrr,[status(thm)],[120,149]),
[iquote('0:MRR:120.0,149.0')] ).
cnf(151,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ~ ssPv10_11r1r1r1r1r1r1r1r1r1r1r1(u,v,w,x,y,z,x1,x2,x3,x4,x5) ),
inference(mrr,[status(thm)],[127,149]),
[iquote('0:MRR:127.0,149.0')] ).
cnf(156,plain,
( ~ ssPv14_7r1r1r1r1r1r1r1(u,v,w,x,y,z,x1)
| ssPv16_5r1r1r1r1r1(u,v,w,x,y) ),
inference(res,[status(thm),theory(equality)],[150,151]),
[iquote('0:Res:150.1,151.1')] ).
cnf(157,plain,
ssPv16_5r1r1r1r1r1(u,v,w,x,y),
inference(res,[status(thm),theory(equality)],[67,156]),
[iquote('0:Res:67.0,156.0')] ).
cnf(158,plain,
$false,
inference(unc,[status(thm)],[157,62]),
[iquote('0:UnC:157.0,62.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SYN869-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jul 11 17:20:30 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 40 clauses, backtracked 0 clauses, performed 0 splits and kept 94 clauses.
% 0.20/0.49 SPASS allocated 76076 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.20/0.49 0:00:00.05 for the input.
% 0.20/0.49 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.00 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.04 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 6, length 71 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause7 clause8 clause11 clause12 clause14 clause15 clause17 clause18 clause19 clause20 clause21 clause23 clause24 clause25 clause26 clause29 clause31 clause37 clause38 clause39 clause43
% 0.20/0.49
%------------------------------------------------------------------------------