TSTP Solution File: SYN784-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN784-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 12:24:21 EDT 2022
% Result : Unsatisfiable 6.24s 6.41s
% Output : Refutation 20.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 133
% Number of leaves : 37
% Syntax : Number of clauses : 634 ( 5 unt; 536 nHn; 634 RR)
% Number of literals : 3013 ( 0 equ;1284 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssRr(skf3(u),u),
file('SYN784-1.p',unknown),
[] ).
cnf(2,axiom,
ssRr(u,skf2(u)),
file('SYN784-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv3(v)
| ssPv2(v)
| ssPv4(u) ),
file('SYN784-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv2(u)
| ssPv2(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv2(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv1(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv3(u)
| ssPv3(v)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv4(w)
| ssPv2(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv2(w)
| ssPv3(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv2(w)
| ssPv1(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(v)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv3(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv4(w)
| ssPv2(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(u,v)
| ssPv3(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv2(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv1(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv3(w)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u) ),
file('SYN784-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv4(w)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv1(u) ),
file('SYN784-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv2(w)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv1(u) ),
file('SYN784-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(x,u)
| ssPv3(u)
| ssPv2(v)
| ssPv4(w)
| ssPv1(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ ssPv4(u)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ~ ssRr(x,w)
| ssPv4(w)
| ssPv3(x)
| ssPv4(v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(x,w)
| ~ ssRr(u,w)
| ssPv4(w)
| ssPv2(v)
| ssPv4(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(w,x)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv4(w)
| ssPv4(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv3(w)
| ssPv4(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(35,axiom,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,x)
| ~ ssRr(v,x)
| ~ ssRr(u,x)
| ssPv2(x)
| ssPv1(w) ),
file('SYN784-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ~ ssRr(x,w)
| ssPv2(w)
| ssPv4(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(w,x)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv3(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(38,axiom,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv1(w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ~ ssRr(w,u)
| ssPv2(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(39,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(x,u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(x) ),
file('SYN784-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv1(w)
| ~ ssPv3(x)
| ~ ssRr(x,u)
| ~ ssRr(w,u)
| ~ ssRr(u,v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(41,axiom,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv2(x)
| ~ ssRr(x,u)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
file('SYN784-1.p',unknown),
[] ).
cnf(120,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv2(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,3]),
[iquote('0:Res:1.0,3.0')] ).
cnf(122,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.1')] ).
cnf(123,plain,
( ~ ssPv4(skf2(u))
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.0,4.1')] ).
cnf(124,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ssPv1(u)
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.2')] ).
cnf(128,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.0,5.2')] ).
cnf(129,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,5]),
[iquote('0:Res:2.0,5.2')] ).
cnf(130,plain,
( ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(131,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u)
| ssPv3(skf2(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.0')] ).
cnf(132,plain,
( ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv3(skf2(skf3(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,131]),
[iquote('0:Res:1.0,131.0')] ).
cnf(133,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv3(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,131]),
[iquote('0:Res:2.0,131.0')] ).
cnf(138,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.1')] ).
cnf(139,plain,
( ~ ssPv3(skf2(u))
| ~ ssRr(skf2(u),v)
| ssPv4(skf2(u))
| ssPv4(v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,9]),
[iquote('0:Res:2.0,9.1')] ).
cnf(142,plain,
( ~ ssPv3(skf3(u))
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv2(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,138]),
[iquote('0:Res:1.0,138.1')] ).
cnf(143,plain,
( ~ ssPv3(u)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,138]),
[iquote('0:Res:2.0,138.1')] ).
cnf(144,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv2(v)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.1')] ).
cnf(145,plain,
( ~ ssPv2(skf2(u))
| ~ ssRr(v,skf2(u))
| ssPv3(skf2(u))
| ssPv2(v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,10]),
[iquote('0:Res:2.0,10.1')] ).
cnf(148,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv2(skf3(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,144]),
[iquote('0:Res:1.0,144.1')] ).
cnf(149,plain,
( ~ ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv2(u)
| ssPv3(skf3(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,144]),
[iquote('0:Res:2.0,144.1')] ).
cnf(154,plain,
( ~ ssPv2(skf3(u))
| ~ ssPv4(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.2')] ).
cnf(155,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf2(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.2')] ).
cnf(156,plain,
( ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,130]),
[iquote('0:Res:1.0,130.0')] ).
cnf(157,plain,
( ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv4(skf2(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[2,130]),
[iquote('0:Res:2.0,130.0')] ).
cnf(158,plain,
( ssPv4(skf3(u))
| ssPv4(u)
| ssPv2(skf3(skf3(u)))
| ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[142,156]),
[iquote('0:SoR:142.0,156.1')] ).
cnf(160,plain,
( ssPv2(skf3(skf3(u)))
| ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[158]),
[iquote('0:Obv:158.1')] ).
cnf(162,plain,
( ~ ssPv3(u)
| ~ ssPv4(skf3(v))
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.2')] ).
cnf(166,plain,
( ~ ssPv2(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[155,157]),
[iquote('0:SoR:155.1,157.3')] ).
cnf(167,plain,
( ~ ssPv2(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv1(v)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[166]),
[iquote('0:Obv:166.2')] ).
cnf(168,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v)
| ssPv2(v)
| ssPv3(v)
| ssPv4(v) ),
inference(sor,[status(thm)],[162,120]),
[iquote('0:SoR:162.1,120.3')] ).
cnf(169,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v)
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[168]),
[iquote('0:Obv:168.3')] ).
cnf(171,plain,
( ~ ssPv3(skf2(u))
| ssPv2(u)
| ssPv3(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,169]),
[iquote('0:Res:2.0,169.1')] ).
cnf(174,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf3(u))
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.2')] ).
cnf(175,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(u)
| ~ ssRr(v,skf2(u))
| ssPv2(skf2(u))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.2')] ).
cnf(176,plain,
( ssPv2(skf3(u))
| ssPv3(skf3(u))
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[171,132]),
[iquote('0:SoR:171.0,132.2')] ).
cnf(179,plain,
( ssPv2(u)
| ssPv3(u)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[171,133]),
[iquote('0:SoR:171.0,133.2')] ).
cnf(180,plain,
( ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[179]),
[iquote('0:Obv:179.2')] ).
cnf(183,plain,
( ssPv2(skf3(u))
| ssPv4(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[176]),
[iquote('0:Obv:176.2')] ).
cnf(186,plain,
( ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[123,180]),
[iquote('0:SoR:123.0,180.1')] ).
cnf(187,plain,
( ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[186]),
[iquote('0:Obv:186.2')] ).
cnf(188,plain,
( ssPv2(skf2(u))
| ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[187,171]),
[iquote('0:MRR:187.0,171.0')] ).
cnf(189,plain,
( ssPv3(skf2(u))
| ssPv2(u)
| ssPv3(skf3(skf2(u)))
| ssPv2(u)
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[149,188]),
[iquote('0:SoR:149.0,188.0')] ).
cnf(194,plain,
( ssPv3(skf2(u))
| ssPv3(skf3(skf2(u)))
| ssPv2(u)
| ssPv3(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[189]),
[iquote('0:Obv:189.1')] ).
cnf(195,plain,
( ssPv3(skf3(skf2(u)))
| ssPv2(u)
| ssPv3(u)
| ssPv4(u) ),
inference(mrr,[status(thm)],[194,171]),
[iquote('0:MRR:194.0,171.0')] ).
cnf(202,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(skf3(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.2')] ).
cnf(203,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ~ ssRr(v,skf2(u))
| ssPv2(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.2')] ).
cnf(204,plain,
( ssPv4(skf3(u))
| ssPv4(u)
| ssPv2(skf3(skf3(u)))
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[142,183]),
[iquote('0:SoR:142.0,183.2')] ).
cnf(206,plain,
( ssPv2(skf3(skf3(u)))
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv2(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[204]),
[iquote('0:Obv:204.1')] ).
cnf(213,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv2(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.2')] ).
cnf(214,plain,
( ~ ssPv1(u)
| ~ ssPv2(skf2(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.2')] ).
cnf(222,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv2(skf3(u))
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,202]),
[iquote('0:Res:1.0,202.2')] ).
cnf(223,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,202]),
[iquote('0:Res:2.0,202.2')] ).
cnf(226,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf3(u))
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.2')] ).
cnf(230,plain,
( ~ ssPv4(skf2(u))
| ~ ssRr(v,skf2(u))
| ssPv3(skf2(u))
| ssPv4(v)
| ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[226,195]),
[iquote('0:SoR:226.1,195.0')] ).
cnf(232,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v)
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[226,148]),
[iquote('0:SoR:226.1,148.3')] ).
cnf(236,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[232]),
[iquote('0:Obv:232.3')] ).
cnf(237,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[236,122]),
[iquote('0:MRR:236.1,122.2')] ).
cnf(238,plain,
( ~ ssRr(u,skf2(v))
| ssPv4(u)
| ssPv4(v)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[230,180,171]),
[iquote('0:MRR:230.0,230.2,180.1,171.0')] ).
cnf(242,plain,
( ssPv4(u)
| ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,238]),
[iquote('0:Res:2.0,238.0')] ).
cnf(243,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[242]),
[iquote('0:Obv:242.0')] ).
cnf(244,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(v)
| ssPv2(u) ),
inference(mrr,[status(thm)],[4,243]),
[iquote('0:MRR:4.0,243.0')] ).
cnf(245,plain,
( ssPv3(u)
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[122,243]),
[iquote('0:MRR:122.0,243.0')] ).
cnf(246,plain,
( ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[123,243]),
[iquote('0:MRR:123.0,243.0')] ).
cnf(247,plain,
( ~ ssRr(skf3(u),v)
| ssPv1(v)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[167,243]),
[iquote('0:MRR:167.0,243.2')] ).
cnf(248,plain,
( ssPv3(u)
| ssPv2(skf3(u))
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[148,245]),
[iquote('0:MRR:148.0,245.1')] ).
cnf(252,plain,
( ~ ssRr(u,skf2(v))
| ssPv3(skf2(v))
| ssPv2(u)
| ssPv3(v) ),
inference(mrr,[status(thm)],[145,244]),
[iquote('0:MRR:145.0,244.2')] ).
cnf(272,plain,
( ssPv3(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,252]),
[iquote('0:Res:2.0,252.0')] ).
cnf(273,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv2(u)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.2')] ).
cnf(274,plain,
( ~ ssPv1(u)
| ~ ssPv2(skf2(u))
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.2')] ).
cnf(275,plain,
( ~ ssPv4(u)
| ssPv4(skf3(u))
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,237]),
[iquote('0:Res:1.0,237.1')] ).
cnf(279,plain,
( ssPv1(u)
| ssPv3(u)
| ssPv3(skf3(u))
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,247]),
[iquote('0:Res:1.0,247.0')] ).
cnf(283,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v)
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[226,279]),
[iquote('0:SoR:226.1,279.2')] ).
cnf(286,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[283]),
[iquote('0:Obv:283.2')] ).
cnf(291,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.3')] ).
cnf(292,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf2(u))
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,26]),
[iquote('0:Res:2.0,26.3')] ).
cnf(297,plain,
( ~ ssRr(skf2(u),v)
| ssPv4(skf2(u))
| ssPv4(v)
| ssPv2(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[139,246]),
[iquote('0:SoR:139.0,246.0')] ).
cnf(301,plain,
( ~ ssRr(skf2(u),v)
| ssPv4(skf2(u))
| ssPv4(v)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[297]),
[iquote('0:Obv:297.3')] ).
cnf(306,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,23]),
[iquote('0:Res:2.0,23.3')] ).
cnf(313,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,301]),
[iquote('0:Res:2.0,301.0')] ).
cnf(320,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.3')] ).
cnf(321,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf2(u))
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,25]),
[iquote('0:Res:2.0,25.3')] ).
cnf(329,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[292,246]),
[iquote('0:SoR:292.1,246.0')] ).
cnf(338,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv4(skf3(u))
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,306]),
[iquote('0:Res:1.0,306.3')] ).
cnf(339,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ~ ssPv4(u)
| ssPv1(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,306]),
[iquote('0:Res:2.0,306.3')] ).
cnf(340,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv2(skf3(u))
| ~ ssPv3(v)
| ~ ssRr(v,skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.0,22.3')] ).
cnf(341,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,22]),
[iquote('0:Res:2.0,22.3')] ).
cnf(355,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv4(u)
| ssPv4(w) ),
inference(sor,[status(thm)],[274,341]),
[iquote('0:SoR:274.1,341.4')] ).
cnf(363,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv3(skf3(u))
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,341]),
[iquote('0:Res:1.0,341.3')] ).
cnf(364,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv2(skf2(u))
| ~ ssPv3(u)
| ssPv2(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,341]),
[iquote('0:Res:2.0,341.3')] ).
cnf(371,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.3')] ).
cnf(383,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv3(skf3(u))
| ~ ssPv4(u)
| ssPv3(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,371]),
[iquote('0:Res:1.0,371.3')] ).
cnf(384,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(skf2(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,371]),
[iquote('0:Res:2.0,371.3')] ).
cnf(389,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv2(skf3(u))
| ~ ssPv2(v)
| ~ ssRr(skf3(u),v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.3')] ).
cnf(390,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,21]),
[iquote('0:Res:2.0,21.3')] ).
cnf(401,plain,
( ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(w) ),
inference(sor,[status(thm)],[155,390]),
[iquote('0:SoR:155.1,390.4')] ).
cnf(406,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,390]),
[iquote('0:Res:2.0,390.3')] ).
cnf(408,plain,
( ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssPv4(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(w) ),
inference(obv,[status(thm),theory(equality)],[401]),
[iquote('0:Obv:401.0')] ).
cnf(411,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[406,341]),
[iquote('0:SoR:406.2,341.4')] ).
cnf(412,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[411]),
[iquote('0:Obv:411.1')] ).
cnf(413,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.3')] ).
cnf(414,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.3')] ).
cnf(466,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(v)
| ssPv1(w) ),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(545,plain,
( ~ ssPv2(u)
| ~ ssRr(v,skf2(w))
| ~ ssRr(u,skf2(w))
| ssPv4(skf2(w))
| ssPv2(w)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,29]),
[iquote('0:Res:2.0,29.1')] ).
cnf(617,plain,
( ~ ssPv4(u)
| ~ ssRr(skf2(v),u)
| ~ ssRr(w,skf2(v))
| ssPv4(skf2(v))
| ssPv3(w)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.1')] ).
cnf(657,plain,
( ~ ssPv4(u)
| ssPv4(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,286]),
[iquote('0:Res:1.0,286.1')] ).
cnf(659,plain,
( ~ ssPv4(u)
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[657]),
[iquote('0:Obv:657.1')] ).
cnf(732,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(v,w)
| ~ ssRr(u,w)
| ssPv2(w)
| ssPv1(skf3(w)) ),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.2')] ).
cnf(733,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(v,skf2(w))
| ~ ssRr(u,skf2(w))
| ssPv2(skf2(w))
| ssPv1(w) ),
inference(res,[status(thm),theory(equality)],[2,35]),
[iquote('0:Res:2.0,35.2')] ).
cnf(783,plain,
( ~ ssPv4(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[154,245]),
[iquote('0:SoR:154.0,245.2')] ).
cnf(787,plain,
( ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[783,243]),
[iquote('0:MRR:783.0,243.0')] ).
cnf(799,plain,
( ssPv3(skf3(u))
| ssPv1(u)
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,787]),
[iquote('0:Res:1.0,787.0')] ).
cnf(802,plain,
( ~ ssPv4(u)
| ~ ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[383,659,799]),
[iquote('0:SoR:383.0,383.1,659.1,799.0')] ).
cnf(804,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v)
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[226,799]),
[iquote('0:SoR:226.1,799.0')] ).
cnf(807,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[804]),
[iquote('0:Obv:804.2')] ).
cnf(808,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[807,243]),
[iquote('0:MRR:807.0,243.0')] ).
cnf(812,plain,
( ~ ssPv4(u)
| ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[802]),
[iquote('0:Obv:802.3')] ).
cnf(813,plain,
( ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[812,243]),
[iquote('0:MRR:812.0,243.0')] ).
cnf(825,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(v,skf3(w))
| ~ ssRr(skf3(w),u)
| ssPv2(skf3(w))
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,37]),
[iquote('0:Res:1.0,37.2')] ).
cnf(826,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv3(skf2(w)) ),
inference(res,[status(thm),theory(equality)],[2,37]),
[iquote('0:Res:2.0,37.2')] ).
cnf(856,plain,
( ssPv4(skf3(u))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,808]),
[iquote('0:Res:1.0,808.0')] ).
cnf(921,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(skf3(v),u)
| ~ ssRr(w,skf3(v))
| ssPv2(skf3(v))
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,36]),
[iquote('0:Res:1.0,36.2')] ).
cnf(999,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf3(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,34]),
[iquote('0:Res:1.0,34.2')] ).
cnf(1098,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ssPv4(w)
| ssPv4(skf2(w)) ),
inference(res,[status(thm),theory(equality)],[2,31]),
[iquote('0:Res:2.0,31.2')] ).
cnf(1099,plain,
( ~ ssPv2(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv1(u) ),
inference(sor,[status(thm)],[273,124]),
[iquote('0:SoR:273.0,124.3')] ).
cnf(1105,plain,
( ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[1099]),
[iquote('0:Obv:1099.0')] ).
cnf(1128,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf3(u))
| ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,329]),
[iquote('0:Res:1.0,329.2')] ).
cnf(1129,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv2(u)
| ssPv1(skf2(u))
| ssPv2(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,329]),
[iquote('0:Res:2.0,329.2')] ).
cnf(1158,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf2(u))
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv2(w) ),
inference(res,[status(thm),theory(equality)],[2,38]),
[iquote('0:Res:2.0,38.3')] ).
cnf(1267,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,39]),
[iquote('0:Res:1.0,39.3')] ).
cnf(1390,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv2(skf3(u))
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
inference(res,[status(thm),theory(equality)],[1,41]),
[iquote('0:Res:1.0,41.4')] ).
cnf(1451,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv1(w)
| ~ ssPv3(skf3(u))
| ~ ssRr(w,u)
| ~ ssRr(u,v) ),
inference(res,[status(thm),theory(equality)],[1,40]),
[iquote('0:Res:1.0,40.4')] ).
cnf(1452,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv1(v)
| ~ ssPv1(w)
| ~ ssPv3(u)
| ~ ssRr(w,skf2(u))
| ~ ssRr(skf2(u),v) ),
inference(res,[status(thm),theory(equality)],[2,40]),
[iquote('0:Res:2.0,40.4')] ).
cnf(1674,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ~ ssRr(u,x)
| ssPv3(u)
| ssPv4(v)
| ssPv1(w)
| ssPv4(x)
| ssPv3(u) ),
inference(sor,[status(thm)],[214,466]),
[iquote('0:SoR:214.1,466.3')] ).
cnf(1682,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(skf2(v))
| ssPv4(skf2(v))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,466]),
[iquote('0:Res:2.0,466.0')] ).
cnf(1684,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ~ ssRr(u,x)
| ssPv4(v)
| ssPv1(w)
| ssPv4(x)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[1674]),
[iquote('0:Obv:1674.4')] ).
cnf(1685,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv4(v)
| ssPv1(w)
| ssPv3(u) ),
inference(con,[status(thm)],[1684]),
[iquote('0:Con:1684.3')] ).
cnf(1696,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(skf2(u))
| ssPv1(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[406,1682]),
[iquote('0:SoR:406.2,1682.2')] ).
cnf(1711,plain,
( ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,1682]),
[iquote('0:Res:1.0,1682.0')] ).
cnf(1714,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[1696]),
[iquote('0:Obv:1696.3')] ).
cnf(1721,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[273,1711]),
[iquote('0:SoR:273.0,1711.3')] ).
cnf(1723,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv3(v)
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[174,1711]),
[iquote('0:SoR:174.1,1711.3')] ).
cnf(1724,plain,
( ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(u)
| ssPv4(skf2(v))
| ssPv2(skf2(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[1723,243]),
[iquote('0:MRR:1723.0,243.0')] ).
cnf(1911,plain,
( ssPv2(u)
| ssPv3(skf3(u))
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,1724]),
[iquote('0:Res:1.0,1724.0')] ).
cnf(1946,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v)
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[226,1911]),
[iquote('0:SoR:226.1,1911.1')] ).
cnf(1952,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[1946]),
[iquote('0:Obv:1946.2')] ).
cnf(1953,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(v)
| ssPv2(skf2(v))
| ssPv4(skf2(v))
| ssPv2(v) ),
inference(mrr,[status(thm)],[1952,243]),
[iquote('0:MRR:1952.0,243.0')] ).
cnf(2000,plain,
( ssPv4(skf3(u))
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,1953]),
[iquote('0:Res:1.0,1953.0')] ).
cnf(2002,plain,
( ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[1721,2000]),
[iquote('0:MRR:1721.0,2000.4')] ).
cnf(2023,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[214,2000]),
[iquote('0:SoR:214.1,2000.2')] ).
cnf(2033,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[2023]),
[iquote('0:Obv:2023.2')] ).
cnf(2034,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[2033,856]),
[iquote('0:MRR:2033.0,856.3')] ).
cnf(2179,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv1(v)
| ssPv2(v)
| ssPv3(v)
| ssPv2(v)
| ssPv2(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[340,799,245]),
[iquote('0:SoR:340.0,340.1,799.0,245.2')] ).
cnf(2223,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv1(v)
| ssPv2(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[2179]),
[iquote('0:Obv:2179.5')] ).
cnf(2308,plain,
( ~ ssPv3(skf3(skf3(u)))
| ssPv1(u)
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,2223]),
[iquote('0:Res:1.0,2223.1')] ).
cnf(2309,plain,
( ssPv1(u)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[2308,813]),
[iquote('0:MRR:2308.0,813.0')] ).
cnf(2311,plain,
( ~ ssPv2(skf3(u))
| ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[1128,2309]),
[iquote('0:MRR:1128.0,2309.2')] ).
cnf(2314,plain,
( ~ ssPv2(u)
| ssPv1(skf2(u))
| ssPv2(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[1129,2309]),
[iquote('0:MRR:1129.0,2309.2')] ).
cnf(2324,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv3(v)
| ssPv3(skf3(u))
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[174,2309]),
[iquote('0:SoR:174.1,2309.0')] ).
cnf(2658,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[413,156]),
[iquote('0:SoR:413.0,156.1')] ).
cnf(2659,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[413,248]),
[iquote('0:SoR:413.0,248.2')] ).
cnf(2666,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(v),u)
| ssPv4(skf3(v))
| ssPv2(skf3(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[2659,245]),
[iquote('0:MRR:2659.0,245.1')] ).
cnf(2670,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[2658]),
[iquote('0:Obv:2658.3')] ).
cnf(2671,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(v),u)
| ssPv4(v)
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(mrr,[status(thm)],[2670,243]),
[iquote('0:MRR:2670.0,243.2')] ).
cnf(2839,plain,
( ~ ssPv3(skf2(skf3(u)))
| ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,2671]),
[iquote('0:Res:2.0,2671.1')] ).
cnf(2843,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv4(skf3(u))
| ssPv2(skf3(u))
| ssPv2(skf2(skf3(u))) ),
inference(sor,[status(thm)],[2839,246]),
[iquote('0:SoR:2839.0,246.0')] ).
cnf(2846,plain,
( ssPv3(u)
| ssPv4(skf3(u))
| ssPv2(skf3(u))
| ssPv2(skf2(skf3(u))) ),
inference(mrr,[status(thm)],[2843,275]),
[iquote('0:MRR:2843.0,275.0')] ).
cnf(2971,plain,
( ~ ssPv1(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[274,2846]),
[iquote('0:SoR:274.1,2846.3')] ).
cnf(2981,plain,
( ~ ssPv1(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv4(v)
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[2971]),
[iquote('0:Obv:2971.2')] ).
cnf(3100,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf3(v))
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv1(skf3(v)) ),
inference(res,[status(thm),theory(equality)],[1,732]),
[iquote('0:Res:1.0,732.2')] ).
cnf(3433,plain,
( ~ ssPv3(skf2(skf3(u)))
| ssPv4(skf3(u))
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,2666]),
[iquote('0:Res:2.0,2666.1')] ).
cnf(3610,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf3(v))
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[1,826]),
[iquote('0:Res:1.0,826.2')] ).
cnf(3766,plain,
( ~ ssPv4(u)
| ~ ssRr(skf3(v),u)
| ssPv2(skf3(v))
| ssPv3(skf2(skf3(v)))
| ssPv4(skf3(v))
| ssPv3(v)
| ssPv4(v) ),
inference(sor,[status(thm)],[3610,160]),
[iquote('0:SoR:3610.1,160.0')] ).
cnf(3769,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v))
| ssPv2(v) ),
inference(sor,[status(thm)],[3610,128]),
[iquote('0:SoR:3610.1,128.3')] ).
cnf(3771,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v))
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(sor,[status(thm)],[3610,143]),
[iquote('0:SoR:3610.1,143.3')] ).
cnf(3780,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v))
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(mrr,[status(thm)],[3771,272]),
[iquote('0:MRR:3771.1,272.2')] ).
cnf(3781,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(skf2(v))
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[3769]),
[iquote('0:Obv:3769.4')] ).
cnf(3782,plain,
( ~ ssPv4(u)
| ~ ssRr(skf3(v),u)
| ssPv2(skf3(v))
| ssPv4(skf3(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[3766,3433,275]),
[iquote('0:MRR:3766.3,3766.6,3433.0,275.0')] ).
cnf(3783,plain,
( ~ ssPv1(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[2981,3782]),
[iquote('0:MRR:2981.2,3782.0')] ).
cnf(3807,plain,
( ~ ssPv4(skf2(skf3(u)))
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,3782]),
[iquote('0:Res:2.0,3782.1')] ).
cnf(3909,plain,
( ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,2034]),
[iquote('0:Res:2.0,2034.0')] ).
cnf(3910,plain,
( ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[3909]),
[iquote('0:Obv:3909.0')] ).
cnf(4041,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv1(skf3(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv2(v) ),
inference(sor,[status(thm)],[3100,3910]),
[iquote('0:SoR:3100.1,3910.3')] ).
cnf(4052,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf3(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[4041]),
[iquote('0:Obv:4041.2')] ).
cnf(4053,plain,
( ~ ssRr(u,v)
| ssPv1(skf3(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv2(v) ),
inference(mrr,[status(thm)],[4052,244]),
[iquote('0:MRR:4052.0,244.3')] ).
cnf(4099,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w)
| ssPv2(u) ),
inference(sor,[status(thm)],[999,128]),
[iquote('0:SoR:999.1,128.3')] ).
cnf(4112,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[4099]),
[iquote('0:Obv:4099.0')] ).
cnf(4372,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv3(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[174,4053]),
[iquote('0:SoR:174.1,4053.1')] ).
cnf(4375,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv3(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[4372]),
[iquote('0:Obv:4372.3')] ).
cnf(4376,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(con,[status(thm)],[4375]),
[iquote('0:Con:4375.2')] ).
cnf(4377,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[4376,243]),
[iquote('0:MRR:4376.0,243.0')] ).
cnf(4448,plain,
( ssPv3(skf3(u))
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,4377]),
[iquote('0:Res:1.0,4377.0')] ).
cnf(4542,plain,
( ~ ssPv2(u)
| ~ ssPv3(skf3(v))
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[1,1098]),
[iquote('0:Res:1.0,1098.2')] ).
cnf(4543,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(skf2(v),u)
| ssPv4(skf2(v))
| ssPv4(skf2(skf2(v))) ),
inference(res,[status(thm),theory(equality)],[2,1098]),
[iquote('0:Res:2.0,1098.2')] ).
cnf(4585,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv2(v)
| ssPv4(skf2(v))
| ssPv3(v)
| ssPv2(v)
| ssPv2(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[340,4448,245]),
[iquote('0:SoR:340.0,340.1,4448.0,245.2')] ).
cnf(4596,plain,
( ~ ssPv4(u)
| ssPv2(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[383,3910,4448]),
[iquote('0:SoR:383.0,383.1,3910.3,4448.0')] ).
cnf(4612,plain,
( ~ ssPv4(u)
| ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[4596]),
[iquote('0:Obv:4596.3')] ).
cnf(4613,plain,
( ssPv3(skf3(skf3(u)))
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[4612,243]),
[iquote('0:MRR:4612.0,243.0')] ).
cnf(4615,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv4(skf2(v))
| ssPv2(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[4585]),
[iquote('0:Obv:4585.5')] ).
cnf(4775,plain,
( ~ ssPv2(u)
| ~ ssRr(u,skf2(v))
| ssPv4(skf2(v))
| ssPv2(v)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,545]),
[iquote('0:Res:2.0,545.1')] ).
cnf(4993,plain,
( ~ ssPv3(skf3(skf3(u)))
| ssPv4(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,4615]),
[iquote('0:Res:1.0,4615.1')] ).
cnf(4994,plain,
( ssPv4(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[4993,4613]),
[iquote('0:MRR:4993.0,4613.0')] ).
cnf(4995,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[1714,4994]),
[iquote('0:MRR:1714.1,4994.1')] ).
cnf(4999,plain,
( ~ ssPv4(skf2(skf2(u)))
| ~ ssRr(v,skf2(u))
| ssPv4(skf2(u))
| ssPv3(v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,617]),
[iquote('0:Res:2.0,617.1')] ).
cnf(5019,plain,
( ~ ssPv1(u)
| ~ ssRr(v,skf2(u))
| ssPv2(skf2(u))
| ssPv3(v)
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[175,4994]),
[iquote('0:SoR:175.0,4994.0')] ).
cnf(5053,plain,
( ~ ssRr(u,skf2(v))
| ssPv2(skf2(v))
| ssPv3(u)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[5019,2309]),
[iquote('0:MRR:5019.0,2309.0')] ).
cnf(5120,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ~ ssRr(u,x)
| ssPv2(w)
| ssPv4(x)
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[1158,131]),
[iquote('0:SoR:1158.1,131.3')] ).
cnf(5126,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ~ ssRr(u,x)
| ssPv4(x)
| ssPv3(u)
| ssPv4(u) ),
inference(mrr,[status(thm)],[5120,27,14]),
[iquote('0:MRR:5120.1,5120.5,27.6,14.1')] ).
cnf(5341,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv2(v)
| ~ ssPv4(u)
| ~ ssRr(skf3(u),v)
| ssPv4(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,1267]),
[iquote('0:Res:1.0,1267.3')] ).
cnf(5342,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(skf2(u))
| ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,1267]),
[iquote('0:Res:2.0,1267.3')] ).
cnf(5381,plain,
( ssPv2(skf2(u))
| ssPv3(u)
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,5053]),
[iquote('0:Res:2.0,5053.0')] ).
cnf(5382,plain,
( ssPv2(skf2(u))
| ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[5381]),
[iquote('0:Obv:5381.1')] ).
cnf(5399,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[214,5382]),
[iquote('0:SoR:214.1,5382.0')] ).
cnf(5409,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[5399]),
[iquote('0:Obv:5399.2')] ).
cnf(5410,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[5409,2309]),
[iquote('0:MRR:5409.0,2309.0')] ).
cnf(5415,plain,
( ssPv4(u)
| ssPv2(skf3(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,5410]),
[iquote('0:Res:1.0,5410.0')] ).
cnf(5417,plain,
( ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(u)
| ssPv3(skf3(v))
| ssPv2(skf3(v)) ),
inference(mrr,[status(thm)],[2324,5415]),
[iquote('0:MRR:2324.0,5415.0')] ).
cnf(5465,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(u,skf2(v))
| ssPv2(skf2(v))
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,733]),
[iquote('0:Res:2.0,733.2')] ).
cnf(5564,plain,
( ssPv2(u)
| ssPv3(skf3(u))
| ssPv3(skf3(u))
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,5417]),
[iquote('0:Res:1.0,5417.0')] ).
cnf(5566,plain,
( ssPv2(u)
| ssPv3(skf3(u))
| ssPv2(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[5564]),
[iquote('0:Obv:5564.1')] ).
cnf(5615,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[320,5566]),
[iquote('0:SoR:320.0,5566.1')] ).
cnf(5616,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[291,5566]),
[iquote('0:SoR:291.0,5566.1')] ).
cnf(5633,plain,
( ~ ssPv4(u)
| ~ ssRr(u,skf3(v))
| ssPv1(skf3(v))
| ssPv2(skf3(v))
| ssPv2(v) ),
inference(mrr,[status(thm)],[5615,245]),
[iquote('0:MRR:5615.0,245.0')] ).
cnf(5634,plain,
( ~ ssPv2(u)
| ~ ssRr(u,skf3(v))
| ssPv1(skf3(v))
| ssPv2(skf3(v))
| ssPv2(v) ),
inference(mrr,[status(thm)],[5616,245]),
[iquote('0:MRR:5616.0,245.0')] ).
cnf(5655,plain,
( ~ ssPv2(skf3(skf2(u)))
| ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,4775]),
[iquote('0:Res:1.0,4775.1')] ).
cnf(5672,plain,
( ~ ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(skf2(u)))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[5655,143]),
[iquote('0:SoR:5655.0,143.3')] ).
cnf(5682,plain,
( ~ ssPv3(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(skf2(u)))
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[5672]),
[iquote('0:Obv:5672.1')] ).
cnf(5746,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf3(skf3(v)))
| ~ ssRr(skf3(v),u)
| ssPv2(skf3(v))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,825]),
[iquote('0:Res:1.0,825.2')] ).
cnf(5825,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv4(v)
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(sor,[status(thm)],[4542,156]),
[iquote('0:SoR:4542.1,156.1')] ).
cnf(5826,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv2(skf3(v))
| ssPv3(v) ),
inference(sor,[status(thm)],[4542,248]),
[iquote('0:SoR:4542.1,248.2')] ).
cnf(5833,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv2(skf3(v)) ),
inference(mrr,[status(thm)],[5826,143]),
[iquote('0:MRR:5826.5,143.0')] ).
cnf(5835,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(skf2(v))
| ssPv4(v)
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[5825]),
[iquote('0:Obv:5825.2')] ).
cnf(5862,plain,
( ~ ssPv2(skf2(u))
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,5833]),
[iquote('0:Res:2.0,5833.1')] ).
cnf(5877,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssRr(v,skf3(u))
| ssPv2(skf3(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,921]),
[iquote('0:Res:1.0,921.2')] ).
cnf(5886,plain,
( ssPv4(skf3(u))
| ssPv4(skf2(skf3(u)))
| ssPv2(skf3(skf3(u)))
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[5862,2846]),
[iquote('0:SoR:5862.0,2846.3')] ).
cnf(5902,plain,
( ssPv4(skf2(skf3(u)))
| ssPv2(skf3(skf3(u)))
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[5886]),
[iquote('0:Obv:5886.0')] ).
cnf(5903,plain,
( ssPv2(skf3(skf3(u)))
| ssPv2(skf3(u))
| ssPv4(skf3(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[5902,3807]),
[iquote('0:MRR:5902.0,3807.0')] ).
cnf(6230,plain,
( ~ ssPv2(skf3(skf2(u)))
| ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,5465]),
[iquote('0:Res:1.0,5465.2')] ).
cnf(6231,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,5465]),
[iquote('0:Res:2.0,5465.2')] ).
cnf(6238,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssPv2(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[406,6231]),
[iquote('0:SoR:406.2,6231.2')] ).
cnf(6257,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[6238]),
[iquote('0:Obv:6238.1')] ).
cnf(6491,plain,
( ~ ssPv2(u)
| ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv1(u) ),
inference(sor,[status(thm)],[155,6257]),
[iquote('0:SoR:155.1,6257.2')] ).
cnf(6505,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[6491]),
[iquote('0:Obv:6491.0')] ).
cnf(6506,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv1(u) ),
inference(mrr,[status(thm)],[6505,2309,6]),
[iquote('0:MRR:6505.0,6505.3,2309.1,6.1')] ).
cnf(6507,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv1(w) ),
inference(mrr,[status(thm)],[23,6506]),
[iquote('0:MRR:23.1,6506.3')] ).
cnf(6521,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv4(v)
| ~ ssRr(v,skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,6507]),
[iquote('0:Res:1.0,6507.2')] ).
cnf(6522,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,6507]),
[iquote('0:Res:2.0,6507.2')] ).
cnf(6614,plain,
( ~ ssPv4(skf3(u))
| ssPv1(u)
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,6506]),
[iquote('0:Res:1.0,6506.1')] ).
cnf(6615,plain,
( ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,6506]),
[iquote('0:Res:2.0,6506.1')] ).
cnf(6616,plain,
( ~ ssPv4(u)
| ~ ssPv4(skf3(u))
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[338,6615]),
[iquote('0:MRR:338.1,6615.2')] ).
cnf(6617,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv4(u)
| ssPv1(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[339,6615]),
[iquote('0:MRR:339.1,6615.2')] ).
cnf(6671,plain,
( ~ ssPv4(u)
| ssPv1(u)
| ssPv1(skf3(u))
| ssPv1(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[6614,659]),
[iquote('0:SoR:6614.0,659.1')] ).
cnf(6674,plain,
( ~ ssPv4(u)
| ssPv1(skf3(u))
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[6671]),
[iquote('0:Obv:6671.1')] ).
cnf(6779,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,skf3(v))
| ssPv1(v)
| ssPv1(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[6521,659]),
[iquote('0:SoR:6521.0,659.1')] ).
cnf(6782,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,skf3(v))
| ssPv1(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[6779]),
[iquote('0:Obv:6779.3')] ).
cnf(6798,plain,
( ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[6230,245]),
[iquote('0:SoR:6230.0,245.2')] ).
cnf(6804,plain,
( ~ ssPv4(u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[6798]),
[iquote('0:Obv:6798.1')] ).
cnf(6849,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[321,6804]),
[iquote('0:SoR:321.1,6804.3')] ).
cnf(6850,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[292,6804]),
[iquote('0:SoR:292.1,6804.3')] ).
cnf(6877,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[6850]),
[iquote('0:Obv:6850.4')] ).
cnf(6878,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[6849]),
[iquote('0:Obv:6849.4')] ).
cnf(7019,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv2(u) ),
inference(sor,[status(thm)],[1390,128]),
[iquote('0:SoR:1390.3,128.3')] ).
cnf(7026,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[1390,275]),
[iquote('0:SoR:1390.3,275.2')] ).
cnf(7031,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv4(skf3(w)) ),
inference(mrr,[status(thm)],[7026,659]),
[iquote('0:MRR:7026.0,659.3')] ).
cnf(7032,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv1(w)
| ~ ssPv4(w)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w) ),
inference(obv,[status(thm),theory(equality)],[7019]),
[iquote('0:Obv:7019.0')] ).
cnf(7530,plain,
( ~ ssPv4(skf3(skf3(u)))
| ~ ssPv4(u)
| ssPv1(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,6782]),
[iquote('0:Res:1.0,6782.2')] ).
cnf(7593,plain,
( ~ ssPv4(skf3(skf3(u)))
| ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,5633]),
[iquote('0:Res:1.0,5633.1')] ).
cnf(7616,plain,
( ~ ssPv2(skf3(skf3(u)))
| ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,5634]),
[iquote('0:Res:1.0,5634.1')] ).
cnf(7623,plain,
( ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u))
| ssPv4(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[7616,206]),
[iquote('0:SoR:7616.0,206.0')] ).
cnf(7640,plain,
( ssPv1(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u))
| ssPv4(u)
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[7623]),
[iquote('0:Obv:7623.1')] ).
cnf(7759,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv4(skf3(skf3(u))) ),
inference(res,[status(thm),theory(equality)],[1,5877]),
[iquote('0:Res:1.0,5877.2')] ).
cnf(7762,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv1(skf2(skf3(u)))
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[6616,7759]),
[iquote('0:SoR:6616.1,7759.3')] ).
cnf(7827,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv1(skf3(u))
| ssPv2(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[7593,7759]),
[iquote('0:SoR:7593.0,7759.3')] ).
cnf(7829,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv1(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[7827]),
[iquote('0:Obv:7827.3')] ).
cnf(7830,plain,
( ~ ssPv4(u)
| ssPv1(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[7829,245]),
[iquote('0:MRR:7829.1,245.0')] ).
cnf(7831,plain,
( ssPv1(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[7640,7830]),
[iquote('0:MRR:7640.3,7830.0')] ).
cnf(7863,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv3(w)
| ~ ssRr(v,skf2(w))
| ~ ssRr(skf2(w),u)
| ssPv2(w)
| ssPv2(skf2(w)) ),
inference(sor,[status(thm)],[1452,246]),
[iquote('0:SoR:1452.0,246.0')] ).
cnf(7867,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(v,skf2(w))
| ~ ssRr(skf2(w),u)
| ssPv2(w)
| ssPv2(skf2(w)) ),
inference(mrr,[status(thm)],[7863,5382]),
[iquote('0:MRR:7863.2,5382.1')] ).
cnf(9171,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[5342,4994]),
[iquote('0:SoR:5342.2,4994.0')] ).
cnf(9174,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(skf3(v))
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[9171,2309]),
[iquote('0:MRR:9171.0,2309.0')] ).
cnf(9276,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf3(u))
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,9174]),
[iquote('0:Res:2.0,9174.1')] ).
cnf(9277,plain,
( ssPv4(skf3(u))
| ssPv3(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[9276,5382]),
[iquote('0:MRR:9276.0,5382.0')] ).
cnf(9409,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv1(skf3(v))
| ssPv2(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[3100,9277]),
[iquote('0:SoR:3100.1,9277.0')] ).
cnf(9419,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf3(v))
| ssPv2(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[9409]),
[iquote('0:Obv:9409.2')] ).
cnf(9420,plain,
( ~ ssRr(u,v)
| ssPv1(skf3(v))
| ssPv2(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[9419,244]),
[iquote('0:MRR:9419.0,244.3')] ).
cnf(9458,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv3(v)
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[174,9420]),
[iquote('0:SoR:174.1,9420.1')] ).
cnf(9461,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv3(v)
| ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[9458]),
[iquote('0:Obv:9458.3')] ).
cnf(9462,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv3(u)
| ssPv2(u) ),
inference(con,[status(thm)],[9461]),
[iquote('0:Con:9461.2')] ).
cnf(9463,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[9462,243]),
[iquote('0:MRR:9462.0,243.0')] ).
cnf(9465,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(skf2(u))
| ssPv1(v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,1685]),
[iquote('0:Res:2.0,1685.1')] ).
cnf(9477,plain,
( ssPv3(skf3(u))
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,9463]),
[iquote('0:Res:1.0,9463.0')] ).
cnf(9508,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv3(v)
| ssPv2(v)
| ssPv2(v)
| ssPv2(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[340,9477,245]),
[iquote('0:SoR:340.0,340.1,9477.0,245.2')] ).
cnf(9528,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv2(u)
| ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[383,9277,9477]),
[iquote('0:SoR:383.0,383.1,9277.0,9477.0')] ).
cnf(9530,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[226,9477]),
[iquote('0:SoR:226.1,9477.0')] ).
cnf(9536,plain,
( ~ ssPv4(u)
| ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[9528]),
[iquote('0:Obv:9528.2')] ).
cnf(9537,plain,
( ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[9536,243]),
[iquote('0:MRR:9536.0,243.0')] ).
cnf(9539,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[9530]),
[iquote('0:Obv:9530.2')] ).
cnf(9540,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[9539,243]),
[iquote('0:MRR:9539.0,243.0')] ).
cnf(9542,plain,
( ~ ssPv3(u)
| ~ ssRr(u,skf3(v))
| ssPv2(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[9508]),
[iquote('0:Obv:9508.4')] ).
cnf(9923,plain,
( ssPv4(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,9540]),
[iquote('0:Res:2.0,9540.0')] ).
cnf(9970,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[321,9923]),
[iquote('0:SoR:321.1,9923.2')] ).
cnf(9971,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[292,9923]),
[iquote('0:SoR:292.1,9923.2')] ).
cnf(10007,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[9970,6878]),
[iquote('0:MRR:9970.5,6878.2')] ).
cnf(10008,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[9971,6877]),
[iquote('0:MRR:9971.5,6877.2')] ).
cnf(10318,plain,
( ~ ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,9542]),
[iquote('0:Res:1.0,9542.1')] ).
cnf(10319,plain,
( ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[10318,9537]),
[iquote('0:MRR:10318.0,9537.0')] ).
cnf(10321,plain,
( ~ ssPv4(skf2(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[155,10319]),
[iquote('0:MRR:155.0,10319.0')] ).
cnf(10322,plain,
( ~ ssPv4(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v) ),
inference(mrr,[status(thm)],[154,10319]),
[iquote('0:MRR:154.0,10319.0')] ).
cnf(10323,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[408,10319]),
[iquote('0:MRR:408.1,10319.0')] ).
cnf(10332,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(mrr,[status(thm)],[7031,10323]),
[iquote('0:MRR:7031.0,10323.5')] ).
cnf(10333,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(con,[status(thm)],[10332]),
[iquote('0:Con:10332.3')] ).
cnf(10335,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(skf2(v))
| ssPv3(v)
| ssPv4(skf3(v)) ),
inference(mrr,[status(thm)],[5835,10333]),
[iquote('0:MRR:5835.3,10333.1')] ).
cnf(10561,plain,
( ~ ssPv4(u)
| ssPv3(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,10322]),
[iquote('0:Res:1.0,10322.1')] ).
cnf(10565,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv1(w)
| ~ ssPv4(u)
| ~ ssRr(w,u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(sor,[status(thm)],[1451,10561]),
[iquote('0:SoR:1451.3,10561.1')] ).
cnf(10598,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssPv4(u)
| ~ ssRr(v,skf3(u))
| ssPv1(skf3(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[320,10561]),
[iquote('0:SoR:320.0,10561.1')] ).
cnf(10616,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,skf3(v))
| ssPv1(skf3(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[10598,6674]),
[iquote('0:MRR:10598.0,6674.3')] ).
cnf(10619,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv1(u) ),
inference(mrr,[status(thm)],[10565,6506]),
[iquote('0:MRR:10565.1,6506.2')] ).
cnf(10859,plain,
( ~ ssPv2(skf2(skf2(u)))
| ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,4543]),
[iquote('0:Res:2.0,4543.2')] ).
cnf(11080,plain,
( ~ ssPv1(u)
| ssPv4(skf2(u))
| ssPv1(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,9465]),
[iquote('0:Res:1.0,9465.1')] ).
cnf(11416,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf3(v))
| ~ ssPv4(skf3(v))
| ~ ssRr(skf3(v),u)
| ssPv2(skf3(v))
| ssPv3(v)
| ssPv2(skf3(v)) ),
inference(sor,[status(thm)],[5746,128]),
[iquote('0:SoR:5746.1,128.3')] ).
cnf(11430,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf3(v))
| ~ ssPv4(skf3(v))
| ~ ssRr(skf3(v),u)
| ssPv3(v)
| ssPv2(skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[11416]),
[iquote('0:Obv:11416.4')] ).
cnf(11431,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf3(v))
| ~ ssRr(skf3(v),u)
| ssPv3(v)
| ssPv2(skf3(v)) ),
inference(mrr,[status(thm)],[11430,3782]),
[iquote('0:MRR:11430.2,3782.3')] ).
cnf(12055,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,10007]),
[iquote('0:Res:2.0,10007.2')] ).
cnf(12115,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf3(u))
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,10008]),
[iquote('0:Res:1.0,10008.2')] ).
cnf(12150,plain,
( ~ ssPv3(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(v)
| ssPv4(u) ),
inference(sor,[status(thm)],[12115,138]),
[iquote('0:SoR:12115.1,138.4')] ).
cnf(12151,plain,
( ~ ssPv3(u)
| ~ ssPv3(u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[12115,143]),
[iquote('0:SoR:12115.1,143.3')] ).
cnf(12160,plain,
( ~ ssPv3(u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[12151]),
[iquote('0:Obv:12151.0')] ).
cnf(12163,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(v)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[12150]),
[iquote('0:Obv:12150.0')] ).
cnf(12259,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[414,12160]),
[iquote('0:SoR:414.1,12160.2')] ).
cnf(12275,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(skf2(u)) ),
inference(sor,[status(thm)],[10859,12160]),
[iquote('0:SoR:10859.0,12160.2')] ).
cnf(12279,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[12259]),
[iquote('0:Obv:12259.4')] ).
cnf(12280,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[12275]),
[iquote('0:Obv:12275.3')] ).
cnf(12294,plain,
( ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv4(skf3(u))
| ssPv4(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1105]),
[iquote('0:Res:1.0,1105.2')] ).
cnf(12806,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf3(v))
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,10323]),
[iquote('0:Res:1.0,10323.2')] ).
cnf(12956,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,10335]),
[iquote('0:Res:2.0,10335.1')] ).
cnf(12957,plain,
( ~ ssRr(skf3(u),v)
| ssPv4(skf3(u))
| ssPv4(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[2002,12956]),
[iquote('0:MRR:2002.4,12956.0')] ).
cnf(13012,plain,
( ~ ssRr(u,v)
| ssPv4(skf2(v))
| ssPv3(v)
| ssPv4(skf3(v))
| ssPv1(u)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(sor,[status(thm)],[12956,1682]),
[iquote('0:SoR:12956.0,1682.2')] ).
cnf(13042,plain,
( ~ ssRr(u,v)
| ssPv4(skf3(v))
| ssPv1(u)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[13012]),
[iquote('0:Obv:13012.2')] ).
cnf(13066,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssPv4(v)
| ~ ssRr(skf3(v),u)
| ssPv4(skf3(skf3(v)))
| ssPv3(v)
| ssPv1(v) ),
inference(sor,[status(thm)],[5341,6674]),
[iquote('0:SoR:5341.0,6674.1')] ).
cnf(13071,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(skf3(v),u)
| ssPv4(skf3(skf3(v)))
| ssPv3(v)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[13066]),
[iquote('0:Obv:13066.1')] ).
cnf(13072,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(skf3(v),u)
| ssPv3(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[13071,7530]),
[iquote('0:MRR:13071.3,7530.0')] ).
cnf(13380,plain,
( ~ ssRr(u,v)
| ssPv1(v)
| ssPv1(skf3(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv1(u) ),
inference(sor,[status(thm)],[6614,13042]),
[iquote('0:SoR:6614.0,13042.1')] ).
cnf(13473,plain,
( ~ ssRr(u,v)
| ssPv1(skf3(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv1(u) ),
inference(mrr,[status(thm)],[13380,11080]),
[iquote('0:MRR:13380.1,11080.0')] ).
cnf(13533,plain,
( ssPv1(skf3(u))
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,13473]),
[iquote('0:Res:1.0,13473.0')] ).
cnf(13535,plain,
( ssPv3(u)
| ssPv4(skf2(u))
| ssPv1(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[13533]),
[iquote('0:Obv:13533.0')] ).
cnf(13542,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv4(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[213,13535]),
[iquote('0:SoR:213.0,13535.2')] ).
cnf(13544,plain,
( ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv4(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[13542,10319]),
[iquote('0:MRR:13542.0,10319.0')] ).
cnf(13937,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv4(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv3(u)
| ssPv4(v)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,4112]),
[iquote('0:Res:1.0,4112.2')] ).
cnf(13938,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(skf2(u))
| ssPv4(v)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,4112]),
[iquote('0:Res:2.0,4112.2')] ).
cnf(13939,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[13938,3781]),
[iquote('0:MRR:13938.4,3781.0')] ).
cnf(13940,plain,
( ~ ssPv1(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv3(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[13937,3783,11431]),
[iquote('0:MRR:13937.1,13937.4,3783.3,11431.0')] ).
cnf(13981,plain,
( ~ ssRr(skf3(u),v)
| ssPv3(u)
| ssPv2(skf3(u))
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[13940,13535]),
[iquote('0:SoR:13940.0,13535.2')] ).
cnf(13982,plain,
( ~ ssRr(skf3(u),v)
| ssPv2(skf3(u))
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[13981]),
[iquote('0:Obv:13981.1')] ).
cnf(13990,plain,
( ssPv2(skf3(u))
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,13982]),
[iquote('0:Res:1.0,13982.0')] ).
cnf(13992,plain,
( ssPv4(u)
| ssPv4(skf2(u))
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[143,13990]),
[iquote('0:MRR:143.0,13990.2')] ).
cnf(13998,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[1390,13990]),
[iquote('0:SoR:1390.3,13990.0')] ).
cnf(14049,plain,
( ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv3(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(sor,[status(thm)],[5655,13990]),
[iquote('0:SoR:5655.0,13990.0')] ).
cnf(14051,plain,
( ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[14049,5682]),
[iquote('0:MRR:14049.3,5682.0')] ).
cnf(14473,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(skf2(v),u)
| ssPv2(v)
| ssPv2(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[2,7867]),
[iquote('0:Res:2.0,7867.2')] ).
cnf(14834,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv4(w)
| ssPv3(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,5126]),
[iquote('0:Res:2.0,5126.1')] ).
cnf(14835,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv2(u)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv4(u)
| ssPv4(w) ),
inference(mrr,[status(thm)],[355,14834]),
[iquote('0:MRR:355.3,14834.4')] ).
cnf(15111,plain,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,14835]),
[iquote('0:Res:2.0,14835.3')] ).
cnf(15266,plain,
( ssPv4(skf3(u))
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,12957]),
[iquote('0:Res:1.0,12957.0')] ).
cnf(15305,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv3(v)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(sor,[status(thm)],[389,15266,13992]),
[iquote('0:SoR:389.0,389.1,15266.0,13992.2')] ).
cnf(15371,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),u)
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[15305]),
[iquote('0:Obv:15305.5')] ).
cnf(15635,plain,
( ~ ssPv1(u)
| ~ ssPv2(skf2(v))
| ~ ssPv1(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[2,7032]),
[iquote('0:Res:2.0,7032.4')] ).
cnf(16646,plain,
( ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,13072]),
[iquote('0:Res:1.0,13072.2')] ).
cnf(16648,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[16646,10319]),
[iquote('0:MRR:16646.0,10319.0')] ).
cnf(16654,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(v,w)
| ssPv1(v) ),
inference(mrr,[status(thm)],[10619,16648]),
[iquote('0:MRR:10619.0,16648.1')] ).
cnf(16659,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv2(w) ),
inference(mrr,[status(thm)],[11,16654]),
[iquote('0:MRR:11.5,16654.0')] ).
cnf(16662,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,16659]),
[iquote('0:Res:1.0,16659.1')] ).
cnf(16786,plain,
( ~ ssPv4(skf3(u))
| ssPv1(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,16662]),
[iquote('0:Res:1.0,16662.1')] ).
cnf(16787,plain,
( ~ ssPv4(u)
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,16662]),
[iquote('0:Res:2.0,16662.1')] ).
cnf(16792,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv4(v) ),
inference(mrr,[status(thm)],[12163,16787]),
[iquote('0:MRR:12163.5,16787.0')] ).
cnf(16794,plain,
( ssPv1(skf3(u))
| ssPv2(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[7831,16786]),
[iquote('0:MRR:7831.3,16786.0')] ).
cnf(17036,plain,
( ~ ssPv3(skf3(u))
| ssPv1(skf3(u))
| ssPv2(skf2(skf3(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,16792]),
[iquote('0:Res:1.0,16792.1')] ).
cnf(17172,plain,
( ssPv3(skf3(u))
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,13544]),
[iquote('0:Res:1.0,13544.0')] ).
cnf(17228,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(sor,[status(thm)],[4542,17172]),
[iquote('0:SoR:4542.1,17172.0')] ).
cnf(17235,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[17228]),
[iquote('0:Obv:17228.3')] ).
cnf(17436,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(w)
| ssPv4(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[10321,17235]),
[iquote('0:SoR:10321.0,17235.3')] ).
cnf(17545,plain,
( ~ ssPv2(skf2(u))
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,17235]),
[iquote('0:Res:2.0,17235.1')] ).
cnf(17546,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv1(w)
| ssPv4(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[17436]),
[iquote('0:Obv:17436.3')] ).
cnf(17547,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv1(w)
| ssPv3(v) ),
inference(mrr,[status(thm)],[17546,10323]),
[iquote('0:MRR:17546.4,10323.1')] ).
cnf(17552,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[13998,17547]),
[iquote('0:MRR:13998.1,17547.3')] ).
cnf(17556,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(con,[status(thm)],[17552]),
[iquote('0:Con:17552.3')] ).
cnf(17626,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv4(skf2(v))
| ssPv4(v)
| ssPv1(u)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(sor,[status(thm)],[17545,1682]),
[iquote('0:SoR:17545.0,1682.2')] ).
cnf(17663,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv1(u)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[17626]),
[iquote('0:Obv:17626.2')] ).
cnf(17664,plain,
( ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[17663,4995]),
[iquote('0:MRR:17663.1,4995.0')] ).
cnf(18758,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,13939]),
[iquote('0:Res:2.0,13939.2')] ).
cnf(18774,plain,
( ~ ssPv4(u)
| ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv1(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(sor,[status(thm)],[12055,18758]),
[iquote('0:SoR:12055.0,18758.2')] ).
cnf(18872,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv1(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[18774]),
[iquote('0:Obv:18774.0')] ).
cnf(18873,plain,
( ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(mrr,[status(thm)],[18872,6615]),
[iquote('0:MRR:18872.1,6615.2')] ).
cnf(18903,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv1(skf2(u)) ),
inference(sor,[status(thm)],[10859,18873]),
[iquote('0:SoR:10859.0,18873.2')] ).
cnf(18907,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[18903,10319,14051]),
[iquote('0:MRR:18903.0,18903.1,10319.1,14051.2')] ).
cnf(19215,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,15371]),
[iquote('0:Res:1.0,15371.1')] ).
cnf(19217,plain,
( ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(mrr,[status(thm)],[19215,10319]),
[iquote('0:MRR:19215.0,10319.0')] ).
cnf(19218,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[12279,19217]),
[iquote('0:MRR:12279.1,19217.0')] ).
cnf(19221,plain,
( ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[12280,19217]),
[iquote('0:MRR:12280.1,19217.0')] ).
cnf(19222,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv4(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[10321,19217]),
[iquote('0:SoR:10321.0,19217.1')] ).
cnf(19311,plain,
( ~ ssRr(u,v)
| ssPv1(v)
| ssPv4(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[19222]),
[iquote('0:Obv:19222.1')] ).
cnf(19361,plain,
( ssPv1(u)
| ssPv4(skf3(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,19311]),
[iquote('0:Res:1.0,19311.0')] ).
cnf(19370,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[12806,19361]),
[iquote('0:MRR:12806.1,19361.1')] ).
cnf(19494,plain,
( ssPv1(skf3(u))
| ssPv2(skf2(skf3(u)))
| ssPv4(u)
| ssPv4(skf3(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[17036,19361]),
[iquote('0:SoR:17036.0,19361.2')] ).
cnf(19548,plain,
( ssPv1(skf3(u))
| ssPv2(skf2(skf3(u)))
| ssPv4(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[19494,6614]),
[iquote('0:MRR:19494.3,6614.0')] ).
cnf(20351,plain,
( ~ ssPv2(u)
| ssPv3(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,19370]),
[iquote('0:Res:1.0,19370.1')] ).
cnf(20352,plain,
( ~ ssPv2(skf2(skf3(u)))
| ssPv3(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,19370]),
[iquote('0:Res:2.0,19370.1')] ).
cnf(20409,plain,
( ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(sor,[status(thm)],[4542,20351]),
[iquote('0:SoR:4542.1,20351.1')] ).
cnf(20415,plain,
( ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[20409,6257]),
[iquote('0:MRR:20409.3,6257.0')] ).
cnf(20437,plain,
( ssPv3(skf3(u))
| ssPv1(u)
| ssPv1(u)
| ssPv4(u)
| ssPv1(skf3(u)) ),
inference(sor,[status(thm)],[20352,19548]),
[iquote('0:SoR:20352.0,19548.1')] ).
cnf(20449,plain,
( ssPv3(skf3(u))
| ssPv1(u)
| ssPv4(u)
| ssPv1(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[20437]),
[iquote('0:Obv:20437.1')] ).
cnf(20450,plain,
( ssPv3(skf3(u))
| ssPv1(u)
| ssPv1(skf3(u)) ),
inference(mrr,[status(thm)],[20449,10561]),
[iquote('0:MRR:20449.2,10561.0')] ).
cnf(20995,plain,
( ~ ssPv3(skf2(u))
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,19218]),
[iquote('0:Res:2.0,19218.1')] ).
cnf(21044,plain,
( ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[20995,10319]),
[iquote('0:SoR:20995.0,10319.1')] ).
cnf(21045,plain,
( ssPv4(skf2(u))
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[21044,16787]),
[iquote('0:MRR:21044.0,16787.0')] ).
cnf(23722,plain,
( ~ ssPv2(skf2(u))
| ~ ssPv2(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,20415]),
[iquote('0:Res:2.0,20415.2')] ).
cnf(23723,plain,
( ~ ssPv2(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(mrr,[status(thm)],[23722,21045]),
[iquote('0:MRR:23722.0,21045.2')] ).
cnf(23739,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv4(v)
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[15111,23723]),
[iquote('0:MRR:15111.0,23723.2')] ).
cnf(23742,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[412,23739]),
[iquote('0:MRR:412.0,23739.3')] ).
cnf(24106,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,23739]),
[iquote('0:Res:1.0,23739.2')] ).
cnf(24107,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,23739]),
[iquote('0:Res:2.0,23739.2')] ).
cnf(24513,plain,
( ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[24107,21045]),
[iquote('0:SoR:24107.1,21045.2')] ).
cnf(24514,plain,
( ~ ssPv3(u)
| ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[24513]),
[iquote('0:Obv:24513.1')] ).
cnf(24607,plain,
( ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ssPv4(skf2(u))
| ssPv3(v)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(sor,[status(thm)],[4999,24514]),
[iquote('0:SoR:4999.0,24514.1')] ).
cnf(24609,plain,
( ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ssPv3(v)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[24607]),
[iquote('0:Obv:24607.2')] ).
cnf(24610,plain,
( ~ ssRr(u,skf2(v))
| ssPv3(u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[24609,19217]),
[iquote('0:MRR:24609.0,19217.0')] ).
cnf(24707,plain,
( ~ ssPv4(skf3(skf3(u)))
| ~ ssPv4(u)
| ssPv1(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,10616]),
[iquote('0:Res:1.0,10616.2')] ).
cnf(24719,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf3(u))
| ~ ssPv2(skf3(u))
| ssPv1(skf3(u))
| ssPv1(u)
| ssPv1(skf3(u))
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[24707,12294]),
[iquote('0:SoR:24707.0,12294.2')] ).
cnf(24727,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf3(u))
| ~ ssPv2(skf3(u))
| ssPv1(u)
| ssPv1(skf3(u))
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[24719]),
[iquote('0:Obv:24719.3')] ).
cnf(24728,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf3(u))
| ssPv1(u)
| ssPv1(skf3(u)) ),
inference(mrr,[status(thm)],[24727,20450,6614]),
[iquote('0:MRR:24727.1,24727.5,20450.0,6614.0')] ).
cnf(25237,plain,
( ~ ssPv1(skf2(skf2(u)))
| ~ ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,14473]),
[iquote('0:Res:2.0,14473.2')] ).
cnf(25538,plain,
( ~ ssPv3(skf3(u))
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,23742]),
[iquote('0:Res:1.0,23742.3')] ).
cnf(25539,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ~ ssPv3(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,23742]),
[iquote('0:Res:2.0,23742.3')] ).
cnf(25562,plain,
( ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[25538,10319]),
[iquote('0:SoR:25538.0,10319.1')] ).
cnf(25563,plain,
( ~ ssPv2(u)
| ssPv4(skf2(u))
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[25562,13990]),
[iquote('0:MRR:25562.1,13990.2')] ).
cnf(25763,plain,
( ssPv3(skf3(skf2(u)))
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,24610]),
[iquote('0:Res:1.0,24610.0')] ).
cnf(25767,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,16654]),
[iquote('0:Res:1.0,16654.2')] ).
cnf(25770,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[24106,25763]),
[iquote('0:SoR:24106.0,25763.0')] ).
cnf(25823,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[25770]),
[iquote('0:Obv:25770.1')] ).
cnf(25824,plain,
( ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(mrr,[status(thm)],[25823,21045]),
[iquote('0:MRR:25823.0,21045.2')] ).
cnf(25977,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[25767,124]),
[iquote('0:SoR:25767.0,124.3')] ).
cnf(25979,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[25767,16794]),
[iquote('0:SoR:25767.0,16794.0')] ).
cnf(25985,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[25979,128]),
[iquote('0:MRR:25979.2,128.1')] ).
cnf(25987,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[25977]),
[iquote('0:Obv:25977.4')] ).
cnf(25988,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(mrr,[status(thm)],[25987,16648]),
[iquote('0:MRR:25987.2,16648.1')] ).
cnf(26003,plain,
( ~ ssPv4(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[24728,25985]),
[iquote('0:SoR:24728.1,25985.2')] ).
cnf(26070,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv3(skf2(v))
| ssPv2(v) ),
inference(sor,[status(thm)],[3610,25985]),
[iquote('0:SoR:3610.1,25985.2')] ).
cnf(26072,plain,
( ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,25985]),
[iquote('0:Res:2.0,25985.1')] ).
cnf(26074,plain,
( ssPv2(skf3(skf3(u)))
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[5903,26072]),
[iquote('0:MRR:5903.2,26072.0')] ).
cnf(26075,plain,
( ~ ssPv4(u)
| ~ ssRr(skf3(v),u)
| ssPv2(skf3(v))
| ssPv3(v) ),
inference(mrr,[status(thm)],[5746,26074]),
[iquote('0:MRR:5746.1,26074.0')] ).
cnf(26078,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(skf3(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[26003]),
[iquote('0:Obv:26003.0')] ).
cnf(26079,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[26078,25767]),
[iquote('0:MRR:26078.3,25767.0')] ).
cnf(26080,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(mrr,[status(thm)],[26079,25988]),
[iquote('0:MRR:26079.3,25988.1')] ).
cnf(26118,plain,
( ~ ssPv1(u)
| ~ ssPv2(skf2(v))
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(mrr,[status(thm)],[15635,26080]),
[iquote('0:MRR:15635.2,26080.2')] ).
cnf(26132,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(skf2(v))
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[26070]),
[iquote('0:Obv:26070.4')] ).
cnf(26133,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(skf2(v))
| ssPv2(v) ),
inference(con,[status(thm)],[26132]),
[iquote('0:Con:26132.3')] ).
cnf(26134,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v))
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[3780,26133]),
[iquote('0:MRR:3780.5,26133.1')] ).
cnf(26158,plain,
( ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,26075]),
[iquote('0:Res:1.0,26075.1')] ).
cnf(26169,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv4(u)
| ssPv1(skf2(skf3(u)))
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[7762,26158]),
[iquote('0:MRR:7762.2,26158.2')] ).
cnf(26494,plain,
( ~ ssPv4(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,26080]),
[iquote('0:Res:2.0,26080.1')] ).
cnf(26496,plain,
( ~ ssRr(u,skf2(v))
| ssPv3(u)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[24610,26494]),
[iquote('0:MRR:24610.2,26494.0')] ).
cnf(26506,plain,
( ssPv4(skf2(skf2(u)))
| ssPv1(u)
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[25824,26494]),
[iquote('0:MRR:25824.3,26494.0')] ).
cnf(26509,plain,
( ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[18907,26494]),
[iquote('0:MRR:18907.0,26494.0')] ).
cnf(26510,plain,
( ~ ssPv3(u)
| ssPv4(skf2(skf2(u)))
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[19221,26494]),
[iquote('0:MRR:19221.1,26494.0')] ).
cnf(26515,plain,
( ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[222,26494]),
[iquote('0:MRR:222.1,26494.1')] ).
cnf(26516,plain,
( ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[18758,26494]),
[iquote('0:MRR:18758.0,26494.1')] ).
cnf(26517,plain,
( ~ ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[129,26494]),
[iquote('0:MRR:129.1,26494.1')] ).
cnf(26518,plain,
( ~ ssPv4(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv4(u) ),
inference(mrr,[status(thm)],[223,26494]),
[iquote('0:MRR:223.1,26494.1')] ).
cnf(26519,plain,
( ~ ssPv4(skf2(u))
| ~ ssRr(v,skf2(u))
| ssPv2(u)
| ssPv4(v) ),
inference(mrr,[status(thm)],[203,26494]),
[iquote('0:MRR:203.1,26494.1')] ).
cnf(26631,plain,
( ~ ssPv4(u)
| ssPv1(skf2(skf3(u)))
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[26169,26515]),
[iquote('0:MRR:26169.0,26515.2')] ).
cnf(26635,plain,
( ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[313,26517]),
[iquote('0:MRR:313.0,26517.0')] ).
cnf(26649,plain,
( ~ ssPv2(u)
| ~ ssRr(v,skf2(w))
| ~ ssRr(u,skf2(w))
| ssPv2(w)
| ssPv4(v) ),
inference(mrr,[status(thm)],[545,26519]),
[iquote('0:MRR:545.3,26519.0')] ).
cnf(26680,plain,
( ~ ssPv1(u)
| ~ ssPv4(skf2(skf2(u)))
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[25237,26494]),
[iquote('0:SoR:25237.0,26494.1')] ).
cnf(26681,plain,
( ~ ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[26680,26635]),
[iquote('0:MRR:26680.1,26635.0')] ).
cnf(26682,plain,
( ~ ssPv2(skf3(u))
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[2311,26681]),
[iquote('0:MRR:2311.1,26681.0')] ).
cnf(26687,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[2314,26681]),
[iquote('0:MRR:2314.1,26681.0')] ).
cnf(26840,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u) ),
inference(sor,[status(thm)],[24107,26681]),
[iquote('0:SoR:24107.1,26681.2')] ).
cnf(26853,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv2(u)
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(sor,[status(thm)],[364,26516,26681]),
[iquote('0:SoR:364.0,364.1,26516.1,26681.2')] ).
cnf(26855,plain,
( ~ ssPv1(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v)
| ssPv2(u) ),
inference(sor,[status(thm)],[274,26681]),
[iquote('0:SoR:274.1,26681.2')] ).
cnf(26863,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[10859,26681]),
[iquote('0:SoR:10859.0,26681.2')] ).
cnf(26867,plain,
( ~ ssPv1(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u) ),
inference(mrr,[status(thm)],[26840,10319]),
[iquote('0:MRR:26840.0,10319.1')] ).
cnf(26868,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv2(u) ),
inference(mrr,[status(thm)],[26867,26506]),
[iquote('0:MRR:26867.0,26506.1')] ).
cnf(26869,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[26855]),
[iquote('0:Obv:26855.0')] ).
cnf(26873,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv1(u)
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[26853]),
[iquote('0:Obv:26853.3')] ).
cnf(26874,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(ssi,[status(thm)],[26873,26494]),
[iquote('0:SSi:26873.2,26494.1')] ).
cnf(26875,plain,
( ~ ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(mrr,[status(thm)],[26874,10319]),
[iquote('0:MRR:26874.1,10319.1')] ).
cnf(26878,plain,
( ~ ssPv3(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[26863,24107]),
[iquote('0:MRR:26863.4,24107.1')] ).
cnf(26879,plain,
( ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[26878,26510]),
[iquote('0:MRR:26878.1,26510.2')] ).
cnf(27148,plain,
( ssPv2(skf2(skf2(u)))
| ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[26517,26509]),
[iquote('0:SoR:26517.0,26509.0')] ).
cnf(27162,plain,
( ssPv2(skf2(skf2(u)))
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[27148,26681]),
[iquote('0:MRR:27148.2,26681.0')] ).
cnf(27163,plain,
( ssPv2(skf2(skf2(u)))
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[27162,26687]),
[iquote('0:MRR:27162.2,26687.0')] ).
cnf(27164,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv3(u)
| ssPv2(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[364,27163]),
[iquote('0:MRR:364.1,27163.1')] ).
cnf(27352,plain,
( ssPv2(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[26682,13992]),
[iquote('0:SoR:26682.0,13992.2')] ).
cnf(27354,plain,
( ~ ssPv4(u)
| ssPv2(u)
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[26682,26072]),
[iquote('0:SoR:26682.0,26072.1')] ).
cnf(27358,plain,
( ssPv2(u)
| ssPv2(skf2(u))
| ssPv4(u) ),
inference(mrr,[status(thm)],[27352,26517]),
[iquote('0:MRR:27352.2,26517.0')] ).
cnf(27362,plain,
( ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[27354]),
[iquote('0:Obv:27354.1')] ).
cnf(27363,plain,
( ssPv2(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[27362,27358]),
[iquote('0:MRR:27362.0,27358.2')] ).
cnf(27367,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf3(u))
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[363,27363]),
[iquote('0:MRR:363.1,27363.1')] ).
cnf(27373,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(mrr,[status(thm)],[26118,27363]),
[iquote('0:MRR:26118.1,27363.0')] ).
cnf(27414,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[414,27363]),
[iquote('0:SoR:414.1,27363.0')] ).
cnf(27425,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[27414,10319]),
[iquote('0:MRR:27414.0,10319.1')] ).
cnf(27502,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv2(skf2(u))
| ~ ssPv4(u)
| ssPv4(skf2(skf2(u)))
| ssPv2(u) ),
inference(sor,[status(thm)],[406,26875]),
[iquote('0:SoR:406.2,26875.1')] ).
cnf(27509,plain,
( ~ ssPv4(u)
| ssPv4(skf2(skf2(u)))
| ssPv2(u) ),
inference(mrr,[status(thm)],[27502,26868,27363]),
[iquote('0:MRR:27502.0,27502.1,26868.0,27363.0')] ).
cnf(27904,plain,
( ~ ssPv2(u)
| ~ ssRr(u,skf2(v))
| ssPv2(v)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,26649]),
[iquote('0:Res:2.0,26649.1')] ).
cnf(28007,plain,
( ~ ssPv3(u)
| ssPv2(skf3(skf2(skf2(u))))
| ssPv4(skf2(u))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[26518,26879]),
[iquote('0:SoR:26518.0,26879.2')] ).
cnf(28026,plain,
( ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ssPv4(skf2(u))
| ssPv3(v)
| ssPv4(u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[4999,26879]),
[iquote('0:SoR:4999.0,26879.2')] ).
cnf(28028,plain,
( ~ ssPv3(u)
| ssPv2(skf3(skf2(skf2(u))))
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[28007]),
[iquote('0:Obv:28007.2')] ).
cnf(28031,plain,
( ~ ssPv3(u)
| ~ ssRr(v,skf2(u))
| ssPv3(v)
| ssPv4(u)
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[28026]),
[iquote('0:Obv:28026.2')] ).
cnf(28032,plain,
( ~ ssRr(u,skf2(v))
| ssPv3(u)
| ssPv4(v)
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[28031,19217]),
[iquote('0:MRR:28031.0,19217.0')] ).
cnf(28365,plain,
( ~ ssPv2(skf3(skf2(u)))
| ssPv2(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,27904]),
[iquote('0:Res:1.0,27904.1')] ).
cnf(28378,plain,
( ~ ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[28365,28028]),
[iquote('0:SoR:28365.0,28028.1')] ).
cnf(28389,plain,
( ~ ssPv2(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(skf2(u))) ),
inference(sor,[status(thm)],[28365,25563]),
[iquote('0:SoR:28365.0,25563.2')] ).
cnf(28391,plain,
( ~ ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[28365,26158]),
[iquote('0:SoR:28365.0,26158.1')] ).
cnf(28399,plain,
( ~ ssPv4(skf2(u))
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[28391,26516]),
[iquote('0:MRR:28391.2,26516.0')] ).
cnf(28401,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(skf2(v)) ),
inference(mrr,[status(thm)],[26134,28399]),
[iquote('0:MRR:26134.4,28399.0')] ).
cnf(28404,plain,
( ~ ssPv3(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[28378]),
[iquote('0:Obv:28378.2')] ).
cnf(28405,plain,
( ssPv2(u)
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[28389,27363,27509]),
[iquote('0:MRR:28389.0,28389.2,27363.0,27509.0')] ).
cnf(28603,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv4(skf2(u))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[406,28404]),
[iquote('0:SoR:406.2,28404.1')] ).
cnf(28611,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[28603]),
[iquote('0:Obv:28603.3')] ).
cnf(29101,plain,
( ~ ssPv3(skf2(u))
| ssPv4(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,27425]),
[iquote('0:Res:2.0,27425.1')] ).
cnf(29792,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv3(skf3(u)) ),
inference(sor,[status(thm)],[384,28611]),
[iquote('0:SoR:384.2,28611.3')] ).
cnf(29797,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv3(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[29792]),
[iquote('0:Obv:29792.1')] ).
cnf(29955,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[27367,29797]),
[iquote('0:SoR:27367.1,29797.3')] ).
cnf(30028,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv2(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[29955]),
[iquote('0:Obv:29955.0')] ).
cnf(30029,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[30028,27363]),
[iquote('0:MRR:30028.1,27363.1')] ).
cnf(30156,plain,
( ssPv3(u)
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,26496]),
[iquote('0:Res:2.0,26496.0')] ).
cnf(30157,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[17556,30156]),
[iquote('0:MRR:17556.0,30156.2')] ).
cnf(30213,plain,
( ~ ssPv1(skf2(u))
| ~ ssPv4(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,27373]),
[iquote('0:Res:2.0,27373.2')] ).
cnf(30236,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv2(skf3(u)) ),
inference(sor,[status(thm)],[30213,26631]),
[iquote('0:SoR:30213.0,26631.1')] ).
cnf(30237,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(u) ),
inference(sor,[status(thm)],[30213,6522]),
[iquote('0:SoR:30213.0,6522.3')] ).
cnf(30242,plain,
( ~ ssPv4(u)
| ~ ssPv4(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[30213,26494]),
[iquote('0:SoR:30213.0,26494.1')] ).
cnf(30247,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv4(u)
| ssPv2(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[30236]),
[iquote('0:Obv:30236.2')] ).
cnf(30248,plain,
( ~ ssPv4(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[30247,26515]),
[iquote('0:MRR:30247.0,26515.2')] ).
cnf(30257,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[999,30248]),
[iquote('0:MRR:999.1,30248.1')] ).
cnf(30265,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[30237]),
[iquote('0:Obv:30237.0')] ).
cnf(30278,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
inference(sor,[status(thm)],[1390,30248]),
[iquote('0:SoR:1390.3,30248.1')] ).
cnf(30327,plain,
( ~ ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[28365,30248]),
[iquote('0:SoR:28365.0,30248.1')] ).
cnf(30328,plain,
( ~ ssPv4(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[30327,30242]),
[iquote('0:MRR:30327.2,30242.0')] ).
cnf(30344,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(w,v)
| ~ ssRr(w,u) ),
inference(ssi,[status(thm)],[30278,26494]),
[iquote('0:SSi:30278.0,26494.1')] ).
cnf(30779,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(skf2(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,30257]),
[iquote('0:Res:2.0,30257.1')] ).
cnf(30780,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv3(skf2(u))
| ssPv4(v) ),
inference(mrr,[status(thm)],[131,30779]),
[iquote('0:MRR:131.1,30779.0')] ).
cnf(31049,plain,
( ssPv3(u)
| ssPv3(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,30780]),
[iquote('0:Res:2.0,30780.0')] ).
cnf(31093,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv2(w)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[1158,31049]),
[iquote('0:SoR:1158.1,31049.1')] ).
cnf(31159,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv2(v)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[31093,30156,17664]),
[iquote('0:MRR:31093.0,31093.1,30156.2,17664.1')] ).
cnf(31160,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[31159,30157]),
[iquote('0:MRR:31159.2,30157.0')] ).
cnf(31458,plain,
( ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,30779]),
[iquote('0:Res:2.0,30779.1')] ).
cnf(31482,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[27164,31458]),
[iquote('0:SoR:27164.0,31458.1')] ).
cnf(32222,plain,
( ssPv3(skf3(skf2(u)))
| ssPv4(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,28032]),
[iquote('0:Res:1.0,28032.0')] ).
cnf(32226,plain,
( ~ ssPv3(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv4(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[27367,32222]),
[iquote('0:SoR:27367.1,32222.0')] ).
cnf(32273,plain,
( ~ ssPv3(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv4(u) ),
inference(mrr,[status(thm)],[32226,30029]),
[iquote('0:MRR:32226.2,30029.0')] ).
cnf(32348,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v)
| ssPv2(v) ),
inference(sor,[status(thm)],[29101,28401]),
[iquote('0:SoR:29101.0,28401.3')] ).
cnf(32390,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[32348]),
[iquote('0:Obv:32348.3')] ).
cnf(32392,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[26869,32390]),
[iquote('0:MRR:26869.3,32390.0')] ).
cnf(32411,plain,
( ~ ssPv1(u)
| ssPv4(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,32392]),
[iquote('0:Res:2.0,32392.1')] ).
cnf(32473,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u))
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[406,32411]),
[iquote('0:SoR:406.2,32411.2')] ).
cnf(32482,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[32473]),
[iquote('0:Obv:32473.3')] ).
cnf(32483,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[32482,30213]),
[iquote('0:MRR:32482.1,30213.2')] ).
cnf(32889,plain,
( ~ ssRr(u,v)
| ssPv4(skf2(v))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[2,31160]),
[iquote('0:Res:2.0,31160.0')] ).
cnf(32934,plain,
( ssPv4(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,32889]),
[iquote('0:Res:1.0,32889.0')] ).
cnf(32937,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[10321,32934]),
[iquote('0:MRR:10321.0,32934.0')] ).
cnf(32939,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[26879,32934]),
[iquote('0:MRR:26879.0,32934.1')] ).
cnf(32941,plain,
( ssPv2(skf2(u))
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[28404,32934]),
[iquote('0:MRR:28404.0,32934.1')] ).
cnf(32952,plain,
( ~ ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[31482,32934]),
[iquote('0:MRR:31482.0,32934.1')] ).
cnf(32954,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ssPv4(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[25539,32934]),
[iquote('0:MRR:25539.2,32934.1')] ).
cnf(32997,plain,
( ~ ssPv4(u)
| ssPv1(skf2(skf2(u)))
| ssPv3(u) ),
inference(sor,[status(thm)],[6617,32934]),
[iquote('0:SoR:6617.0,32934.0')] ).
cnf(33059,plain,
( ssPv3(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,32937]),
[iquote('0:Res:1.0,32937.0')] ).
cnf(33131,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(sor,[status(thm)],[4542,33059]),
[iquote('0:SoR:4542.1,33059.0')] ).
cnf(33135,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(skf2(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[33131,26494]),
[iquote('0:MRR:33131.2,26494.0')] ).
cnf(33360,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[30213,32997]),
[iquote('0:SoR:30213.0,32997.1')] ).
cnf(33364,plain,
( ~ ssPv4(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[33360,32941,30029]),
[iquote('0:MRR:33360.0,33360.3,32941.1,30029.1')] ).
cnf(33370,plain,
( ~ ssPv4(u)
| ssPv2(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[32952,33364]),
[iquote('0:MRR:32952.2,33364.0')] ).
cnf(33374,plain,
( ~ ssPv3(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(mrr,[status(thm)],[32273,33370]),
[iquote('0:MRR:32273.2,33370.0')] ).
cnf(33988,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,33135]),
[iquote('0:Res:2.0,33135.1')] ).
cnf(33989,plain,
( ssPv4(skf2(u))
| ssPv1(u) ),
inference(mrr,[status(thm)],[33988,32941]),
[iquote('0:MRR:33988.0,32941.0')] ).
cnf(33998,plain,
( ssPv2(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[30328,33989]),
[iquote('0:SoR:30328.0,33989.0')] ).
cnf(34012,plain,
( ssPv4(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[32411,33998]),
[iquote('0:MRR:32411.0,33998.1')] ).
cnf(34048,plain,
( ssPv3(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[26516,34012]),
[iquote('0:MRR:26516.0,34012.0')] ).
cnf(34051,plain,
( ~ ssPv1(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[30213,34012]),
[iquote('0:MRR:30213.1,34012.0')] ).
cnf(34072,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[30265,34012]),
[iquote('0:MRR:30265.1,34012.0')] ).
cnf(34129,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(v) ),
inference(mrr,[status(thm)],[21,34072]),
[iquote('0:MRR:21.2,34072.2')] ).
cnf(34133,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u) ),
inference(mrr,[status(thm)],[30344,34072]),
[iquote('0:MRR:30344.1,34072.2')] ).
cnf(34158,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u) ),
inference(con,[status(thm)],[34133]),
[iquote('0:Con:34133.2')] ).
cnf(34162,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u) ),
inference(mrr,[status(thm)],[6507,34158]),
[iquote('0:MRR:6507.4,34158.0')] ).
cnf(34176,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv4(v) ),
inference(con,[status(thm)],[34129]),
[iquote('0:Con:34129.3')] ).
cnf(34231,plain,
( ssPv2(skf2(skf2(u)))
| ssPv2(u) ),
inference(sor,[status(thm)],[33374,34048]),
[iquote('0:SoR:33374.0,34048.0')] ).
cnf(34269,plain,
( ~ ssPv3(skf2(u))
| ssPv4(skf2(skf2(skf2(u))))
| ssPv2(u) ),
inference(sor,[status(thm)],[32954,34231]),
[iquote('0:SoR:32954.1,34231.0')] ).
cnf(34272,plain,
( ssPv4(skf2(skf2(skf2(u))))
| ssPv2(u) ),
inference(mrr,[status(thm)],[34269,34048]),
[iquote('0:MRR:34269.0,34048.0')] ).
cnf(34290,plain,
( ~ ssPv4(skf2(skf2(u)))
| ssPv1(skf2(skf2(skf2(skf2(u)))))
| ssPv2(u) ),
inference(sor,[status(thm)],[6617,34272]),
[iquote('0:SoR:6617.0,34272.0')] ).
cnf(34294,plain,
( ssPv1(skf2(skf2(skf2(skf2(u)))))
| ssPv2(u) ),
inference(mrr,[status(thm)],[34290,28405]),
[iquote('0:MRR:34290.0,28405.1')] ).
cnf(34302,plain,
( ~ ssPv4(skf2(skf2(skf2(u))))
| ssPv4(skf2(skf2(skf2(skf2(u)))))
| ssPv2(u) ),
inference(sor,[status(thm)],[32483,34294]),
[iquote('0:SoR:32483.1,34294.0')] ).
cnf(34304,plain,
( ssPv4(skf2(skf2(skf2(skf2(u)))))
| ssPv2(u) ),
inference(mrr,[status(thm)],[34302,34272]),
[iquote('0:MRR:34302.0,34272.0')] ).
cnf(34306,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u) ),
inference(res,[status(thm),theory(equality)],[2,34162]),
[iquote('0:Res:2.0,34162.2')] ).
cnf(34309,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssRr(u,v) ),
inference(mrr,[status(thm)],[34176,34306]),
[iquote('0:MRR:34176.3,34306.0')] ).
cnf(34346,plain,
( ~ ssPv4(skf2(skf2(skf2(u))))
| ssPv1(skf2(skf2(skf2(skf2(skf2(u))))))
| ssPv2(u) ),
inference(sor,[status(thm)],[6617,34304]),
[iquote('0:SoR:6617.0,34304.0')] ).
cnf(34349,plain,
( ssPv1(skf2(skf2(skf2(skf2(skf2(u))))))
| ssPv2(u) ),
inference(mrr,[status(thm)],[34346,34272]),
[iquote('0:MRR:34346.0,34272.0')] ).
cnf(34364,plain,
( ssPv2(skf2(skf2(skf2(skf2(u)))))
| ssPv2(u) ),
inference(sor,[status(thm)],[34051,34349]),
[iquote('0:SoR:34051.0,34349.0')] ).
cnf(34380,plain,
( ~ ssPv4(u)
| ~ ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,34309]),
[iquote('0:Res:2.0,34309.2')] ).
cnf(34410,plain,
( ssPv2(u)
| ssPv2(u) ),
inference(ems,[status(thm)],[34380,34304,34364]),
[iquote('0:EmS:34380.0,34380.1,34304.0,34364.0')] ).
cnf(34670,plain,
ssPv2(u),
inference(obv,[status(thm),theory(equality)],[34410]),
[iquote('0:Obv:34410.0')] ).
cnf(34685,plain,
~ ssPv4(u),
inference(mrr,[status(thm)],[34380,34670]),
[iquote('0:MRR:34380.1,34670.0')] ).
cnf(34782,plain,
$false,
inference(mrr,[status(thm)],[32939,34685]),
[iquote('0:MRR:32939.1,32939.0,34685.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN784-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 20:33:28 EDT 2022
% 0.12/0.34 % CPUTime :
% 6.24/6.41
% 6.24/6.41 SPASS V 3.9
% 6.24/6.41 SPASS beiseite: Proof found.
% 6.24/6.41 % SZS status Theorem
% 6.24/6.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.24/6.41 SPASS derived 25770 clauses, backtracked 0 clauses, performed 0 splits and kept 4166 clauses.
% 6.24/6.41 SPASS allocated 104657 KBytes.
% 6.24/6.41 SPASS spent 0:00:06.04 on the problem.
% 6.24/6.41 0:00:00.04 for the input.
% 6.24/6.41 0:00:00.00 for the FLOTTER CNF translation.
% 6.24/6.41 0:00:00.48 for inferences.
% 6.24/6.41 0:00:00.00 for the backtracking.
% 6.24/6.41 0:00:05.46 for the reduction.
% 6.24/6.41
% 6.24/6.41
% 6.24/6.41 Here is a proof with depth 31, length 634 :
% 6.24/6.41 % SZS output start Refutation
% See solution above
% 20.33/20.50 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause9 clause10 clause11 clause12 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause25 clause26 clause27 clause28 clause29 clause31 clause34 clause35 clause36 clause37 clause38 clause39 clause40 clause41
% 20.33/20.50
%------------------------------------------------------------------------------