TSTP Solution File: SYN796-1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN796-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 12:24:32 EDT 2022
% Result : Unsatisfiable 1.76s 1.96s
% Output : Refutation 4.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 78
% Number of leaves : 36
% Syntax : Number of clauses : 372 ( 8 unt; 289 nHn; 372 RR)
% Number of literals : 1660 ( 0 equ; 685 neg)
% Maximal clause size : 9 ( 4 avg)
% Maximal term depth : 4 ( 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('SYN796-1.p',unknown),
[] ).
cnf(2,axiom,
ssRr(u,skf2(u)),
file('SYN796-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv3(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(u)
| ssPv1(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(u)
| ssPv1(u)
| ssPv2(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv1(u)
| ssPv2(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(v,u)
| ssPv2(u) ),
file('SYN796-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv1(u)
| ssPv2(v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(v)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv2(w)
| ssPv4(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv1(w)
| ssPv4(v)
| ssPv1(u) ),
file('SYN796-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(u,w)
| ssPv4(w)
| ssPv1(w)
| ssPv4(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(17,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv1(v)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv2(v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(19,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(v)
| ssPv3(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(v,u)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv2(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(w,v)
| ~ ssRr(v,u)
| ssPv1(w)
| ssPv1(v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv1(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(u,v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(32,axiom,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
file('SYN796-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
file('SYN796-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(w)
| ssPv4(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(v,w)
| ~ ssRr(w,u)
| ~ ssRr(x,w)
| ssPv3(w)
| ssPv4(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssRr(x,u)
| ~ ssRr(w,u)
| ~ ssRr(u,v)
| ssPv3(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(48,axiom,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(v,u)
| ~ ssRr(u,x)
| ~ ssRr(w,u)
| ssPv3(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv4(w)
| ~ ssRr(v,x)
| ~ ssRr(x,u)
| ~ ssRr(w,x)
| ssPv1(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv3(w)
| ~ ssRr(x,u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(x) ),
file('SYN796-1.p',unknown),
[] ).
cnf(53,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv1(u)
| ssPv1(w) ),
inference(mrr,[status(thm)],[27,14]),
[iquote('0:MRR:27.0,14.4')] ).
cnf(154,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv3(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,3]),
[iquote('0:Res:2.0,3.0')] ).
cnf(155,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.1')] ).
cnf(156,plain,
( ~ ssPv4(skf2(u))
| ssPv3(skf2(u))
| ssPv1(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,6]),
[iquote('0:Res:2.0,6.1')] ).
cnf(157,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv1(u)
| ssPv2(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,5]),
[iquote('0:Res:1.0,5.1')] ).
cnf(158,plain,
( ~ ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv1(skf2(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,5]),
[iquote('0:Res:2.0,5.1')] ).
cnf(160,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv2(u)
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,4]),
[iquote('0:Res:2.0,4.1')] ).
cnf(163,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.3')] ).
cnf(164,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ~ ssPv1(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,7]),
[iquote('0:Res:2.0,7.3')] ).
cnf(166,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,53]),
[iquote('0:Res:2.0,53.1')] ).
cnf(168,plain,
( ~ ssRr(u,v)
| ssPv2(v)
| ssPv1(v)
| ssPv2(skf2(v))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,8]),
[iquote('0:Res:2.0,8.0')] ).
cnf(169,plain,
( ~ ssPv2(u)
| ssPv1(u)
| ssPv1(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,166]),
[iquote('0:Res:1.0,166.1')] ).
cnf(170,plain,
( ~ ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,166]),
[iquote('0:Res:2.0,166.1')] ).
cnf(172,plain,
( ~ ssRr(u,v)
| ssPv1(skf2(v))
| ssPv1(v)
| ssPv4(u)
| ssPv1(v)
| ssPv2(v) ),
inference(sor,[status(thm)],[170,168]),
[iquote('0:SoR:170.0,168.3')] ).
cnf(175,plain,
( ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,168]),
[iquote('0:Res:2.0,168.0')] ).
cnf(176,plain,
( ~ ssRr(u,v)
| ssPv1(skf2(v))
| ssPv4(u)
| ssPv1(v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[172]),
[iquote('0:Obv:172.2')] ).
cnf(186,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv4(u)
| ssPv1(skf2(u))
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[170,175]),
[iquote('0:SoR:170.0,175.2')] ).
cnf(188,plain,
( ssPv1(skf2(skf2(u)))
| ssPv4(u)
| ssPv1(skf2(u))
| ssPv2(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[186]),
[iquote('0:Obv:186.1')] ).
cnf(191,plain,
( ~ ssPv3(skf2(u))
| ~ ssRr(skf2(u),v)
| ssPv1(skf2(u))
| ssPv2(v)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.1')] ).
cnf(209,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(v)
| ssPv4(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[2,16]),
[iquote('0:Res:2.0,16.1')] ).
cnf(240,plain,
( ~ ssPv1(skf2(u))
| ssPv4(u)
| ssPv1(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,209]),
[iquote('0:Res:2.0,209.1')] ).
cnf(241,plain,
( ~ ssPv1(u)
| ~ ssRr(skf3(v),u)
| ssPv4(skf3(v))
| ssPv3(skf3(v))
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.1')] ).
cnf(242,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv2(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.1')] ).
cnf(263,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(v)
| ssPv2(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.1')] ).
cnf(274,plain,
( ~ ssPv1(skf2(u))
| ssPv4(u)
| ssPv3(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,242]),
[iquote('0:Res:2.0,242.1')] ).
cnf(284,plain,
( ~ ssPv2(u)
| ~ ssRr(u,skf3(v))
| ssPv3(skf3(v))
| ssPv1(skf3(v))
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.1')] ).
cnf(285,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv1(v)
| ssPv2(skf2(v)) ),
inference(res,[status(thm),theory(equality)],[2,17]),
[iquote('0:Res:2.0,17.1')] ).
cnf(294,plain,
( ~ ssPv2(skf3(u))
| ssPv3(u)
| ssPv2(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,263]),
[iquote('0:Res:1.0,263.1')] ).
cnf(295,plain,
( ~ ssPv2(u)
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(skf2(skf2(u))) ),
inference(res,[status(thm),theory(equality)],[2,263]),
[iquote('0:Res:2.0,263.1')] ).
cnf(311,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(skf2(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,19]),
[iquote('0:Res:2.0,19.2')] ).
cnf(316,plain,
( ~ ssPv2(u)
| ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[170,295]),
[iquote('0:SoR:170.0,295.3')] ).
cnf(319,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf2(v))
| ssPv1(v)
| ssPv1(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[170,285]),
[iquote('0:SoR:170.0,285.4')] ).
cnf(321,plain,
( ~ ssPv2(skf3(u))
| ssPv3(u)
| ssPv1(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[1,285]),
[iquote('0:Res:1.0,285.1')] ).
cnf(323,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(skf2(v))
| ssPv1(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[319]),
[iquote('0:Obv:319.3')] ).
cnf(324,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv1(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[321,155]),
[iquote('0:SoR:321.0,155.3')] ).
cnf(325,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv1(u)
| ssPv2(skf2(u))
| ssPv1(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[321,157]),
[iquote('0:SoR:321.0,157.3')] ).
cnf(329,plain,
( ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[324]),
[iquote('0:Obv:324.2')] ).
cnf(330,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv1(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[325]),
[iquote('0:Obv:325.2')] ).
cnf(331,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(mrr,[status(thm)],[330,329]),
[iquote('0:MRR:330.4,329.0')] ).
cnf(336,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(skf2(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,18]),
[iquote('0:Res:2.0,18.2')] ).
cnf(337,plain,
( ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[170,329]),
[iquote('0:SoR:170.0,329.1')] ).
cnf(339,plain,
( ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[337]),
[iquote('0:Obv:337.2')] ).
cnf(342,plain,
( ~ ssPv2(u)
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv1(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[170,331]),
[iquote('0:SoR:170.0,331.2')] ).
cnf(344,plain,
( ~ ssPv2(u)
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[342]),
[iquote('0:Obv:342.2')] ).
cnf(346,plain,
( ~ ssPv2(u)
| ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[316,344]),
[iquote('0:MRR:316.3,344.0')] ).
cnf(358,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(skf3(u))
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.2')] ).
cnf(362,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv1(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[240,344]),
[iquote('0:SoR:240.0,344.1')] ).
cnf(367,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[362]),
[iquote('0:Obv:362.2')] ).
cnf(389,plain,
( ~ ssPv4(u)
| ~ ssPv3(skf3(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.2')] ).
cnf(421,plain,
( ~ ssPv1(u)
| ~ ssPv2(skf2(v))
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[2,26]),
[iquote('0:Res:2.0,26.2')] ).
cnf(478,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.2')] ).
cnf(483,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv3(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,311]),
[iquote('0:Res:2.0,311.2')] ).
cnf(490,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[164,483,160]),
[iquote('0:SoR:164.0,164.1,483.3,160.3')] ).
cnf(494,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv1(skf2(u))
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[156,483]),
[iquote('0:SoR:156.0,483.3')] ).
cnf(495,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv1(skf2(u))
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[494]),
[iquote('0:Obv:494.2')] ).
cnf(496,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[490]),
[iquote('0:Obv:490.1')] ).
cnf(497,plain,
( ~ ssPv4(u)
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[496,329]),
[iquote('0:MRR:496.0,329.2')] ).
cnf(502,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf2(u))
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[2,23]),
[iquote('0:Res:2.0,23.2')] ).
cnf(553,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[164,483,495]),
[iquote('0:SoR:164.0,164.1,483.3,495.2')] ).
cnf(554,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[553]),
[iquote('0:Obv:553.5')] ).
cnf(558,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv3(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,22]),
[iquote('0:Res:1.0,22.2')] ).
cnf(559,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf2(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,22]),
[iquote('0:Res:2.0,22.2')] ).
cnf(560,plain,
( ~ ssPv2(u)
| ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv4(v) ),
inference(sor,[status(thm)],[170,336]),
[iquote('0:SoR:170.0,336.3')] ).
cnf(562,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,336]),
[iquote('0:Res:1.0,336.2')] ).
cnf(563,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv2(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,336]),
[iquote('0:Res:2.0,336.2')] ).
cnf(564,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv4(v) ),
inference(mrr,[status(thm)],[560,176]),
[iquote('0:MRR:560.0,176.4')] ).
cnf(598,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv3(u)
| ssPv1(u)
| ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv1(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[563,154,331]),
[iquote('0:SoR:563.0,563.1,154.3,331.2')] ).
cnf(616,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv1(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[598]),
[iquote('0:Obv:598.3')] ).
cnf(637,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf2(v))
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.2')] ).
cnf(671,plain,
( ~ ssPv3(skf2(u))
| ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,564]),
[iquote('0:Res:2.0,564.1')] ).
cnf(674,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.3')] ).
cnf(677,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv4(u)
| ssPv1(u)
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[671,154]),
[iquote('0:SoR:671.0,154.3')] ).
cnf(679,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv3(u)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[677]),
[iquote('0:Obv:677.2')] ).
cnf(680,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[679,339]),
[iquote('0:MRR:679.4,339.0')] ).
cnf(714,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,30]),
[iquote('0:Res:2.0,30.3')] ).
cnf(739,plain,
( ~ ssPv2(skf2(u))
| ~ ssPv1(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,358]),
[iquote('0:Res:2.0,358.2')] ).
cnf(1257,plain,
( ~ ssPv2(skf3(u))
| ~ ssPv1(skf3(u))
| ~ ssPv3(v)
| ~ ssRr(skf3(u),v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,33]),
[iquote('0:Res:1.0,33.3')] ).
cnf(1258,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,33]),
[iquote('0:Res:2.0,33.3')] ).
cnf(1275,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,32]),
[iquote('0:Res:2.0,32.3')] ).
cnf(1319,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv2(skf2(u))
| ~ ssRr(u,v) ),
inference(res,[status(thm),theory(equality)],[2,34]),
[iquote('0:Res:2.0,34.4')] ).
cnf(1333,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv3(w)
| ssPv2(w)
| ssPv3(w)
| ssPv4(w) ),
inference(sor,[status(thm)],[421,242]),
[iquote('0:SoR:421.1,242.4')] ).
cnf(1338,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv3(v)
| ssPv1(v) ),
inference(sor,[status(thm)],[421,329]),
[iquote('0:SoR:421.1,329.1')] ).
cnf(1341,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv3(v)
| ssPv2(v)
| ssPv3(skf2(v)) ),
inference(sor,[status(thm)],[421,497]),
[iquote('0:SoR:421.1,497.2')] ).
cnf(1346,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[1338]),
[iquote('0:Obv:1338.3')] ).
cnf(1347,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[1346,4]),
[iquote('0:MRR:1346.0,4.4')] ).
cnf(1349,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv3(skf2(v)) ),
inference(obv,[status(thm),theory(equality)],[1341]),
[iquote('0:Obv:1341.4')] ).
cnf(1350,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[1349,4]),
[iquote('0:MRR:1349.0,4.4')] ).
cnf(1355,plain,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv2(w)
| ssPv3(w)
| ssPv4(w) ),
inference(obv,[status(thm),theory(equality)],[1333]),
[iquote('0:Obv:1333.4')] ).
cnf(1356,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v)
| ssPv4(v) ),
inference(con,[status(thm)],[1355]),
[iquote('0:Con:1355.1')] ).
cnf(1366,plain,
( ~ ssPv4(u)
| ssPv2(u)
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,1347]),
[iquote('0:Res:2.0,1347.1')] ).
cnf(1388,plain,
( ~ ssPv4(skf2(u))
| ssPv1(skf2(u))
| ssPv1(u)
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[170,1366]),
[iquote('0:SoR:170.0,1366.1')] ).
cnf(1391,plain,
( ~ ssPv4(skf2(u))
| ssPv1(u)
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[1388]),
[iquote('0:Obv:1388.1')] ).
cnf(1459,plain,
( ~ ssPv1(skf2(u))
| ssPv2(u)
| ssPv3(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,1356]),
[iquote('0:Res:2.0,1356.1')] ).
cnf(1461,plain,
( ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(v)
| ssPv4(v)
| ssPv2(v)
| ssPv1(v)
| ssPv4(u) ),
inference(sor,[status(thm)],[1459,176]),
[iquote('0:SoR:1459.0,176.1')] ).
cnf(1462,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(v)
| ssPv4(v)
| ssPv3(v)
| ssPv1(v) ),
inference(sor,[status(thm)],[1459,323]),
[iquote('0:SoR:1459.0,323.2')] ).
cnf(1464,plain,
( ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[1459,188]),
[iquote('0:SoR:1459.0,188.0')] ).
cnf(1465,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv3(skf2(u))
| ssPv1(skf2(u)) ),
inference(sor,[status(thm)],[1459,346]),
[iquote('0:SoR:1459.0,346.1')] ).
cnf(1467,plain,
( ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv1(u)
| ssPv1(skf2(u)) ),
inference(sor,[status(thm)],[1459,680]),
[iquote('0:SoR:1459.0,680.0')] ).
cnf(1476,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv4(v)
| ssPv2(v)
| ssPv1(v)
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[1461]),
[iquote('0:Obv:1461.1')] ).
cnf(1477,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v)
| ssPv4(u) ),
inference(mrr,[status(thm)],[1476,1366]),
[iquote('0:MRR:1476.2,1366.0')] ).
cnf(1478,plain,
( ssPv3(skf2(u))
| ssPv3(u)
| ssPv1(u)
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[1467,170,1391]),
[iquote('0:MRR:1467.0,1467.2,170.0,1391.0')] ).
cnf(1479,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv4(v)
| ssPv3(v)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[1462]),
[iquote('0:Obv:1462.3')] ).
cnf(1480,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv2(v)
| ssPv3(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[1479,1366]),
[iquote('0:MRR:1479.3,1366.0')] ).
cnf(1482,plain,
( ssPv3(skf2(u))
| ssPv4(skf2(u))
| ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv4(u) ),
inference(obv,[status(thm),theory(equality)],[1464]),
[iquote('0:Obv:1464.0')] ).
cnf(1483,plain,
( ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv1(skf2(u))
| ssPv4(u) ),
inference(mrr,[status(thm)],[1482,1366]),
[iquote('0:MRR:1482.1,1366.0')] ).
cnf(1486,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv4(skf2(u))
| ssPv3(skf2(u))
| ssPv1(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[1465]),
[iquote('0:Obv:1465.2')] ).
cnf(1487,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[1486,1366]),
[iquote('0:MRR:1486.2,1366.0')] ).
cnf(1582,plain,
( ssPv4(skf2(u))
| ssPv1(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[158,1483]),
[iquote('0:SoR:158.0,1483.1')] ).
cnf(1585,plain,
( ssPv4(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[1582]),
[iquote('0:Obv:1582.1')] ).
cnf(1586,plain,
( ssPv2(u)
| ssPv4(u)
| ssPv1(skf2(u))
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[1585,156]),
[iquote('0:MRR:1585.0,156.0')] ).
cnf(1597,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),w)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv2(v)
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,36]),
[iquote('0:Res:1.0,36.1')] ).
cnf(1654,plain,
( ssPv2(u)
| ssPv3(u)
| ssPv4(u)
| ssPv3(skf2(u))
| ssPv4(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[1459,1586]),
[iquote('0:SoR:1459.0,1586.2')] ).
cnf(1690,plain,
( ssPv3(u)
| ssPv3(skf2(u))
| ssPv4(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[1654]),
[iquote('0:Obv:1654.2')] ).
cnf(1693,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[1350,1690]),
[iquote('0:MRR:1350.0,1690.2')] ).
cnf(1710,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv4(u)
| ssPv2(u)
| ssPv4(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[671,1690]),
[iquote('0:SoR:671.0,1690.1')] ).
cnf(1734,plain,
( ssPv1(skf2(skf2(u)))
| ssPv1(skf2(u))
| ssPv2(u)
| ssPv4(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[1710]),
[iquote('0:Obv:1710.2')] ).
cnf(1735,plain,
( ssPv1(skf2(skf2(u)))
| ssPv2(u)
| ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[1734,1459]),
[iquote('0:MRR:1734.1,1459.0')] ).
cnf(1843,plain,
( ssPv4(skf2(u))
| ssPv1(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv3(u)
| ssPv4(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[240,1735]),
[iquote('0:SoR:240.0,1735.0')] ).
cnf(1852,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv3(u)
| ssPv4(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[1843,1459]),
[iquote('0:MRR:1843.1,1459.0')] ).
cnf(2024,plain,
( ssPv3(u)
| ssPv2(u)
| ssPv3(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,1693]),
[iquote('0:Res:2.0,1693.0')] ).
cnf(2041,plain,
( ~ ssPv2(u)
| ~ ssPv3(skf3(v))
| ~ ssRr(v,u)
| ~ ssRr(w,v)
| ssPv3(v)
| ssPv4(w) ),
inference(res,[status(thm),theory(equality)],[1,40]),
[iquote('0:Res:1.0,40.2')] ).
cnf(2280,plain,
( ~ ssPv2(skf3(u))
| ssPv2(u)
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,1480]),
[iquote('0:Res:1.0,1480.1')] ).
cnf(2312,plain,
( ~ ssPv4(u)
| ~ ssPv2(skf3(u))
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,48]),
[iquote('0:Res:1.0,48.3')] ).
cnf(2339,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv3(w)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,51]),
[iquote('0:Res:1.0,51.3')] ).
cnf(2365,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(u)
| ssPv2(v)
| ssPv4(w)
| ssPv1(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[478,168]),
[iquote('0:SoR:478.1,168.3')] ).
cnf(2385,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(w,u)
| ssPv2(v)
| ssPv4(w)
| ssPv1(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[2365]),
[iquote('0:Obv:2365.3')] ).
cnf(2386,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,v)
| ssPv2(u)
| ssPv4(w)
| ssPv1(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[2385,1477]),
[iquote('0:MRR:2385.0,1477.1')] ).
cnf(2425,plain,
( ~ ssPv4(u)
| ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(u)
| ssPv2(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[502,160]),
[iquote('0:SoR:502.1,160.3')] ).
cnf(2435,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[2425]),
[iquote('0:Obv:2425.3')] ).
cnf(2442,plain,
( ~ ssPv4(u)
| ssPv2(skf3(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,2435]),
[iquote('0:Res:1.0,2435.1')] ).
cnf(2445,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssRr(w,u)
| ~ ssRr(u,v)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,44]),
[iquote('0:Res:1.0,44.3')] ).
cnf(2450,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv2(u)
| ssPv2(skf2(u))
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[294,2442]),
[iquote('0:SoR:294.0,2442.1')] ).
cnf(2454,plain,
( ~ ssPv4(u)
| ssPv2(skf2(u))
| ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[2450]),
[iquote('0:Obv:2450.2')] ).
cnf(2483,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv2(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[421,2454]),
[iquote('0:SoR:421.1,2454.1')] ).
cnf(2485,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[2483]),
[iquote('0:Obv:2483.4')] ).
cnf(2486,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[2485,4]),
[iquote('0:MRR:2485.0,4.4')] ).
cnf(2487,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[1356,2486]),
[iquote('0:MRR:1356.4,2486.0')] ).
cnf(2507,plain,
( ~ ssPv4(u)
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,2486]),
[iquote('0:Res:2.0,2486.1')] ).
cnf(2508,plain,
( ~ ssPv1(skf2(u))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[1459,2507]),
[iquote('0:MRR:1459.3,2507.0')] ).
cnf(2510,plain,
( ssPv4(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv3(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[1852,2507]),
[iquote('0:MRR:1852.3,2507.0')] ).
cnf(2758,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf3(v))
| ~ ssPv4(w)
| ~ ssRr(v,u)
| ~ ssRr(w,v)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,50]),
[iquote('0:Res:1.0,50.3')] ).
cnf(2982,plain,
( ~ ssPv1(u)
| ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(v)
| ssPv4(w) ),
inference(sor,[status(thm)],[559,311]),
[iquote('0:SoR:559.1,311.3')] ).
cnf(2983,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[559,2024]),
[iquote('0:SoR:559.1,2024.2')] ).
cnf(2984,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[2983]),
[iquote('0:Obv:2983.2')] ).
cnf(2985,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[2984,2487]),
[iquote('0:MRR:2984.2,2487.0')] ).
cnf(2986,plain,
( ~ ssPv1(u)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(v)
| ssPv4(w) ),
inference(obv,[status(thm),theory(equality)],[2982]),
[iquote('0:Obv:2982.0')] ).
cnf(2997,plain,
( ~ ssPv1(u)
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,2985]),
[iquote('0:Res:2.0,2985.1')] ).
cnf(3000,plain,
( ~ ssPv2(skf3(u))
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[2280,2997]),
[iquote('0:MRR:2280.3,2997.0')] ).
cnf(3002,plain,
( ssPv3(skf2(u))
| ssPv2(skf2(u))
| ssPv4(u) ),
inference(mrr,[status(thm)],[1483,2997]),
[iquote('0:MRR:1483.2,2997.0')] ).
cnf(3003,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[1487,2997]),
[iquote('0:MRR:1487.3,2997.0')] ).
cnf(3007,plain,
( ~ ssPv1(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[554,3002]),
[iquote('0:MRR:554.0,3002.2')] ).
cnf(3012,plain,
( ~ ssPv1(u)
| ssPv2(skf2(u))
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[3007,3003]),
[iquote('0:MRR:3007.3,3003.0')] ).
cnf(3039,plain,
( ~ ssPv1(skf2(u))
| ssPv3(skf2(u))
| ssPv3(u)
| ssPv2(skf3(skf2(u)))
| ssPv1(u)
| ssPv3(u)
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[739,2997,1478]),
[iquote('0:SoR:739.0,739.1,2997.1,1478.3')] ).
cnf(3054,plain,
( ~ ssPv1(skf2(u))
| ssPv2(skf3(skf2(u)))
| ssPv1(u)
| ssPv3(u)
| ssPv3(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[3039]),
[iquote('0:Obv:3039.2')] ).
cnf(3055,plain,
( ssPv2(skf3(skf2(u)))
| ssPv1(u)
| ssPv3(u)
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[3054,1478]),
[iquote('0:MRR:3054.0,1478.3')] ).
cnf(3073,plain,
( ~ ssPv2(u)
| ~ ssRr(skf2(v),u)
| ssPv2(skf2(v))
| ssPv1(skf2(v))
| ssPv2(v)
| ssPv3(v)
| ssPv4(skf2(v)) ),
inference(sor,[status(thm)],[637,2510]),
[iquote('0:SoR:637.1,2510.1')] ).
cnf(3082,plain,
( ~ ssPv2(u)
| ~ ssRr(skf2(v),u)
| ssPv2(v)
| ssPv3(v)
| ssPv4(skf2(v)) ),
inference(mrr,[status(thm)],[3073,158,2508]),
[iquote('0:MRR:3073.2,3073.3,158.0,2508.0')] ).
cnf(3303,plain,
( ~ ssRr(skf2(u),v)
| ssPv1(skf2(u))
| ssPv2(v)
| ssPv4(u)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[191,2024]),
[iquote('0:SoR:191.0,2024.2')] ).
cnf(3304,plain,
( ~ ssRr(skf2(u),v)
| ssPv2(v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[3303,2508,2507]),
[iquote('0:MRR:3303.1,3303.3,2508.0,2507.0')] ).
cnf(3305,plain,
( ~ ssRr(skf2(u),v)
| ssPv2(u)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[3082,3304]),
[iquote('0:MRR:3082.0,3304.1')] ).
cnf(3312,plain,
( ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv3(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[3000,3055]),
[iquote('0:SoR:3000.0,3055.0')] ).
cnf(3315,plain,
( ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[3312]),
[iquote('0:Obv:3312.1')] ).
cnf(3316,plain,
( ssPv2(skf2(u))
| ssPv3(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[3315,3012]),
[iquote('0:MRR:3315.3,3012.0')] ).
cnf(3431,plain,
( ssPv2(skf2(skf2(u)))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,3304]),
[iquote('0:Res:2.0,3304.0')] ).
cnf(3432,plain,
( ssPv4(u)
| ssPv2(skf2(skf2(u)))
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[616,3431]),
[iquote('0:MRR:616.0,3431.1')] ).
cnf(3433,plain,
( ~ ssPv3(skf2(u))
| ~ ssRr(v,skf2(u))
| ssPv2(skf2(u))
| ssPv2(v)
| ssPv3(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[478,3431]),
[iquote('0:SoR:478.1,3431.0')] ).
cnf(3457,plain,
( ~ ssRr(u,skf2(v))
| ssPv2(skf2(v))
| ssPv2(u)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[3433,3316]),
[iquote('0:MRR:3433.0,3316.1')] ).
cnf(3535,plain,
( ssPv2(u)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,3305]),
[iquote('0:Res:2.0,3305.0')] ).
cnf(3536,plain,
( ssPv4(u)
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[367,3535]),
[iquote('0:MRR:367.0,3535.0')] ).
cnf(3562,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(v)
| ssPv2(v) ),
inference(sor,[status(thm)],[637,3535]),
[iquote('0:SoR:637.1,3535.2')] ).
cnf(3565,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv3(v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[3562]),
[iquote('0:Obv:3562.2')] ).
cnf(3566,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[3565,2997]),
[iquote('0:MRR:3565.2,2997.0')] ).
cnf(3604,plain,
( ~ ssPv2(skf2(u))
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,3566]),
[iquote('0:Res:2.0,3566.1')] ).
cnf(3605,plain,
( ~ ssRr(u,skf2(v))
| ssPv2(u)
| ssPv3(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[3457,3604]),
[iquote('0:MRR:3457.1,3604.0')] ).
cnf(3668,plain,
( ssPv2(u)
| ssPv3(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,3605]),
[iquote('0:Res:2.0,3605.0')] ).
cnf(3669,plain,
( ssPv3(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[3668]),
[iquote('0:Obv:3668.0')] ).
cnf(3670,plain,
( ssPv3(u)
| ssPv2(skf2(u))
| ssPv1(u) ),
inference(mrr,[status(thm)],[331,3669]),
[iquote('0:MRR:331.0,3669.1')] ).
cnf(3671,plain,
( ssPv1(skf2(u))
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[344,3669]),
[iquote('0:MRR:344.0,3669.1')] ).
cnf(3751,plain,
( ~ ssPv1(u)
| ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,241]),
[iquote('0:Res:1.0,241.1')] ).
cnf(3752,plain,
( ~ ssPv1(skf2(skf3(u)))
| ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,241]),
[iquote('0:Res:2.0,241.1')] ).
cnf(3849,plain,
( ~ ssPv2(skf3(skf3(u)))
| ssPv3(skf3(u))
| ssPv1(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,284]),
[iquote('0:Res:1.0,284.1')] ).
cnf(3911,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv4(skf2(u))
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,674]),
[iquote('0:Res:2.0,674.3')] ).
cnf(3954,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,714]),
[iquote('0:Res:2.0,714.3')] ).
cnf(4022,plain,
( ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv2(u)
| ssPv3(skf3(u))
| ssPv1(skf3(u)) ),
inference(sor,[status(thm)],[3752,3671]),
[iquote('0:SoR:3752.0,3671.0')] ).
cnf(4025,plain,
( ssPv4(skf3(u))
| ssPv2(u)
| ssPv3(skf3(u))
| ssPv1(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[4022]),
[iquote('0:Obv:4022.1')] ).
cnf(4034,plain,
( ~ ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv1(skf3(u))
| ssPv2(u)
| ssPv1(skf3(u))
| ssPv3(skf3(u)) ),
inference(sor,[status(thm)],[3849,155]),
[iquote('0:SoR:3849.0,155.3')] ).
cnf(4039,plain,
( ~ ssPv4(skf3(u))
| ssPv2(u)
| ssPv1(skf3(u))
| ssPv3(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[4034]),
[iquote('0:Obv:4034.2')] ).
cnf(4040,plain,
( ssPv2(u)
| ssPv1(skf3(u))
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[4039,4025]),
[iquote('0:MRR:4039.0,4025.0')] ).
cnf(4056,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv2(skf2(v)) ),
inference(sor,[status(thm)],[274,1258]),
[iquote('0:SoR:274.0,1258.4')] ).
cnf(4072,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssPv3(skf2(u))
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,1258]),
[iquote('0:Res:2.0,1258.3')] ).
cnf(4073,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv2(skf2(v)) ),
inference(mrr,[status(thm)],[4056,3670,3669]),
[iquote('0:MRR:4056.1,4056.2,3670.2,3669.1')] ).
cnf(4101,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv2(u)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[163,4040]),
[iquote('0:SoR:163.2,4040.1')] ).
cnf(4102,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[4101]),
[iquote('0:Obv:4101.2')] ).
cnf(4177,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(skf2(u))
| ssPv1(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,1275]),
[iquote('0:Res:2.0,1275.3')] ).
cnf(4178,plain,
( ~ ssPv3(u)
| ~ ssPv2(skf2(u))
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[4177,170]),
[iquote('0:MRR:4177.1,170.2')] ).
cnf(4185,plain,
( ~ ssPv3(skf2(u))
| ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv1(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[4178,3432]),
[iquote('0:SoR:4178.1,3432.1')] ).
cnf(4189,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv1(skf2(u))
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[4178,562]),
[iquote('0:SoR:4178.1,562.2')] ).
cnf(4194,plain,
( ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv1(u)
| ssPv4(u) ),
inference(mrr,[status(thm)],[4185,154]),
[iquote('0:MRR:4185.0,154.3')] ).
cnf(4195,plain,
( ~ ssPv2(u)
| ~ ssPv3(u)
| ssPv1(skf2(u))
| ssPv4(skf3(u)) ),
inference(obv,[status(thm),theory(equality)],[4189]),
[iquote('0:Obv:4189.0')] ).
cnf(5068,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv1(v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[558,4040]),
[iquote('0:SoR:558.0,4040.1')] ).
cnf(5069,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(u),v)
| ssPv1(v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[5068]),
[iquote('0:Obv:5068.2')] ).
cnf(5070,plain,
( ~ ssRr(skf3(u),v)
| ssPv1(v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[5069,3669]),
[iquote('0:MRR:5069.0,3669.0')] ).
cnf(5074,plain,
( ssPv1(u)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,5070]),
[iquote('0:Res:1.0,5070.0')] ).
cnf(5075,plain,
( ssPv1(skf2(skf3(u)))
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[2,5070]),
[iquote('0:Res:2.0,5070.0')] ).
cnf(5076,plain,
( ssPv4(skf3(u))
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[3751,5074]),
[iquote('0:MRR:3751.0,5074.0')] ).
cnf(5077,plain,
( ~ ssPv4(u)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[4102,5074]),
[iquote('0:MRR:4102.1,5074.0')] ).
cnf(5243,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ~ ssPv1(v)
| ~ ssRr(skf2(u),v)
| ssPv3(u)
| ssPv1(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[1319,3432]),
[iquote('0:SoR:1319.3,3432.1')] ).
cnf(5251,plain,
( ~ ssPv1(u)
| ~ ssRr(skf2(v),u)
| ssPv3(v)
| ssPv1(v)
| ssPv4(v) ),
inference(mrr,[status(thm)],[5243,3536,3671]),
[iquote('0:MRR:5243.0,5243.1,3536.1,3671.0')] ).
cnf(5914,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv1(v)
| ssPv1(v) ),
inference(sor,[status(thm)],[1257,3669,169]),
[iquote('0:SoR:1257.0,1257.1,3669.1,169.2')] ).
cnf(5944,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[5914]),
[iquote('0:Obv:5914.4')] ).
cnf(5945,plain,
( ~ ssPv3(u)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv1(v) ),
inference(mrr,[status(thm)],[5944,5074]),
[iquote('0:MRR:5944.1,5074.2')] ).
cnf(6019,plain,
( ~ ssPv3(u)
| ssPv3(skf3(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,5945]),
[iquote('0:Res:1.0,5945.1')] ).
cnf(8024,plain,
( ~ ssPv3(skf2(u))
| ssPv4(u)
| ssPv3(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,4073]),
[iquote('0:Res:2.0,4073.1')] ).
cnf(8025,plain,
( ssPv4(u)
| ssPv3(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[8024,3669]),
[iquote('0:MRR:8024.0,3669.0')] ).
cnf(8216,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv2(v)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,1597]),
[iquote('0:Res:1.0,1597.1')] ).
cnf(8218,plain,
( ~ ssPv2(u)
| ~ ssRr(skf3(v),u)
| ssPv3(skf3(v))
| ssPv2(v) ),
inference(mrr,[status(thm)],[8216,5077]),
[iquote('0:MRR:8216.4,5077.0')] ).
cnf(8221,plain,
( ~ ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv1(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,5251]),
[iquote('0:Res:2.0,5251.1')] ).
cnf(8222,plain,
( ssPv3(u)
| ssPv1(u)
| ssPv4(u) ),
inference(mrr,[status(thm)],[8221,4194]),
[iquote('0:MRR:8221.0,4194.0')] ).
cnf(8226,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv1(v)
| ssPv2(u) ),
inference(mrr,[status(thm)],[6,8222]),
[iquote('0:MRR:6.0,8222.2')] ).
cnf(8227,plain,
( ssPv3(u)
| ssPv1(u)
| ssPv2(skf3(u)) ),
inference(mrr,[status(thm)],[155,8222]),
[iquote('0:MRR:155.0,8222.2')] ).
cnf(8243,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv1(u)
| ssPv2(v) ),
inference(mrr,[status(thm)],[17,8226]),
[iquote('0:MRR:17.0,8226.3')] ).
cnf(8244,plain,
( ~ ssRr(u,v)
| ~ ssRr(v,w)
| ssPv1(v)
| ssPv2(w)
| ssPv4(u) ),
inference(mrr,[status(thm)],[13,8243]),
[iquote('0:MRR:13.0,8243.2')] ).
cnf(9992,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,w)
| ~ ssRr(v,u)
| ssPv3(w)
| ssPv1(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[2312,8227]),
[iquote('0:SoR:2312.1,8227.2')] ).
cnf(9993,plain,
( ~ ssPv4(u)
| ~ ssRr(v,w)
| ~ ssRr(u,v)
| ssPv3(w)
| ssPv1(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[9992,8222]),
[iquote('0:MRR:9992.0,8222.2')] ).
cnf(10220,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv3(skf2(u))
| ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,2339]),
[iquote('0:Res:2.0,2339.3')] ).
cnf(11104,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssPv2(skf3(u))
| ~ ssRr(u,v)
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,2445]),
[iquote('0:Res:1.0,2445.3')] ).
cnf(11106,plain,
( ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[11104,3669]),
[iquote('0:MRR:11104.2,3669.1')] ).
cnf(11197,plain,
( ~ ssPv2(u)
| ~ ssPv1(skf2(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,11106]),
[iquote('0:Res:2.0,11106.2')] ).
cnf(11224,plain,
( ~ ssPv2(skf3(u))
| ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(skf3(u)) ),
inference(sor,[status(thm)],[11197,5075]),
[iquote('0:SoR:11197.1,5075.0')] ).
cnf(11231,plain,
( ~ ssPv2(u)
| ssPv3(skf3(u))
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[11197,3671]),
[iquote('0:SoR:11197.1,3671.0')] ).
cnf(11234,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(skf3(u)) ),
inference(sor,[status(thm)],[11197,1258]),
[iquote('0:SoR:11197.1,1258.4')] ).
cnf(11237,plain,
( ssPv3(skf3(u))
| ssPv1(u) ),
inference(mrr,[status(thm)],[11231,5074,6019]),
[iquote('0:MRR:11231.0,11231.2,5074.2,6019.0')] ).
cnf(11245,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(v,w)
| ssPv1(w) ),
inference(mrr,[status(thm)],[2758,11237]),
[iquote('0:MRR:2758.1,11237.0')] ).
cnf(11257,plain,
( ssPv3(skf3(skf3(u)))
| ssPv2(u)
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[11224,3669]),
[iquote('0:MRR:11224.0,3669.1')] ).
cnf(11258,plain,
( ~ ssPv4(u)
| ~ ssRr(v,w)
| ~ ssRr(u,v)
| ssPv1(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[9993,11245]),
[iquote('0:MRR:9993.3,11245.0')] ).
cnf(11260,plain,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv3(skf3(v)) ),
inference(obv,[status(thm),theory(equality)],[11234]),
[iquote('0:Obv:11234.0')] ).
cnf(11261,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(v,u)
| ssPv3(skf3(v)) ),
inference(mrr,[status(thm)],[11260,11237]),
[iquote('0:MRR:11260.1,11237.1')] ).
cnf(11324,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(w,v)
| ssPv3(v)
| ssPv4(w)
| ssPv1(v) ),
inference(sor,[status(thm)],[2041,11237]),
[iquote('0:SoR:2041.1,11237.0')] ).
cnf(11334,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv4(w)
| ssPv1(u) ),
inference(mrr,[status(thm)],[11324,8244]),
[iquote('0:MRR:11324.0,8244.3')] ).
cnf(11335,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,u)
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[11334,11258]),
[iquote('0:MRR:11334.3,11258.0')] ).
cnf(11404,plain,
( ~ ssPv4(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv2(v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(sor,[status(thm)],[389,11257]),
[iquote('0:SoR:389.1,11257.0')] ).
cnf(11409,plain,
( ~ ssPv4(skf3(u))
| ~ ssRr(skf3(u),v)
| ssPv2(v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[11404]),
[iquote('0:Obv:11404.2')] ).
cnf(11410,plain,
( ~ ssRr(skf3(u),v)
| ssPv3(skf3(u))
| ssPv2(u) ),
inference(mrr,[status(thm)],[11409,5076,8218]),
[iquote('0:MRR:11409.0,11409.2,5076.0,8218.0')] ).
cnf(11643,plain,
( ssPv3(skf3(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,11410]),
[iquote('0:Res:1.0,11410.0')] ).
cnf(11647,plain,
( ~ ssPv1(skf2(u))
| ssPv3(skf3(u)) ),
inference(mrr,[status(thm)],[11197,11643]),
[iquote('0:MRR:11197.0,11643.1')] ).
cnf(11649,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv3(skf3(v)) ),
inference(mrr,[status(thm)],[11261,11643]),
[iquote('0:MRR:11261.1,11643.1')] ).
cnf(11938,plain,
( ~ ssPv3(skf2(u))
| ssPv3(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[2,11649]),
[iquote('0:Res:2.0,11649.1')] ).
cnf(12759,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[2,11335]),
[iquote('0:Res:2.0,11335.0')] ).
cnf(12762,plain,
( ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,12759]),
[iquote('0:Res:1.0,12759.0')] ).
cnf(12764,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[4072,12762]),
[iquote('0:MRR:4072.2,12762.0')] ).
cnf(12766,plain,
( ~ ssPv3(skf2(u))
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[559,12762]),
[iquote('0:MRR:559.0,12762.1')] ).
cnf(12771,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv1(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[2986,12762]),
[iquote('0:MRR:2986.0,12762.1')] ).
cnf(12859,plain,
( ssPv3(skf3(u))
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[11647,12762]),
[iquote('0:SoR:11647.0,12762.1')] ).
cnf(12903,plain,
ssPv3(skf3(u)),
inference(mrr,[status(thm)],[12859,11938]),
[iquote('0:MRR:12859.1,11938.0')] ).
cnf(12904,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v) ),
inference(mrr,[status(thm)],[389,12903]),
[iquote('0:MRR:389.1,12903.0')] ).
cnf(12907,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(w,v)
| ssPv3(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[2041,12903]),
[iquote('0:MRR:2041.1,12903.0')] ).
cnf(12946,plain,
( ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[3954,12764]),
[iquote('0:SoR:3954.2,12764.2')] ).
cnf(12970,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv4(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[12946]),
[iquote('0:Obv:12946.1')] ).
cnf(13031,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,12904]),
[iquote('0:Res:2.0,12904.1')] ).
cnf(13032,plain,
( ssPv3(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[13031,8025]),
[iquote('0:MRR:13031.0,8025.0')] ).
cnf(13034,plain,
( ~ ssPv2(u)
| ssPv2(skf2(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[562,13032]),
[iquote('0:MRR:562.0,13032.0')] ).
cnf(13035,plain,
( ~ ssPv2(skf2(u))
| ssPv2(skf2(skf2(u)))
| ssPv4(u) ),
inference(mrr,[status(thm)],[563,13032]),
[iquote('0:MRR:563.0,13032.0')] ).
cnf(13053,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(sor,[status(thm)],[1319,13032]),
[iquote('0:SoR:1319.3,13032.1')] ).
cnf(13067,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(mrr,[status(thm)],[13053,12762]),
[iquote('0:MRR:13053.1,12762.1')] ).
cnf(13068,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv4(w) ),
inference(mrr,[status(thm)],[12771,13067]),
[iquote('0:MRR:12771.4,13067.1')] ).
cnf(13072,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv4(v) ),
inference(con,[status(thm)],[13068]),
[iquote('0:Con:13068.1')] ).
cnf(13095,plain,
( ssPv2(skf2(skf2(u)))
| ssPv4(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[13035,13032]),
[iquote('0:SoR:13035.0,13032.1')] ).
cnf(13096,plain,
( ~ ssPv2(u)
| ssPv2(skf2(skf2(u)))
| ssPv4(u)
| ssPv4(skf3(u)) ),
inference(sor,[status(thm)],[13035,13034]),
[iquote('0:SoR:13035.0,13034.1')] ).
cnf(13098,plain,
( ssPv2(skf2(skf2(skf2(u))))
| ssPv4(skf2(u))
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[13035,13095]),
[iquote('0:SoR:13035.0,13095.0')] ).
cnf(13108,plain,
( ~ ssPv3(skf2(u))
| ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv4(u) ),
inference(sor,[status(thm)],[4178,13095]),
[iquote('0:SoR:4178.1,13095.0')] ).
cnf(13358,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,13072]),
[iquote('0:Res:2.0,13072.1')] ).
cnf(13359,plain,
( ssPv2(skf2(skf2(skf2(u))))
| ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[13098,13358]),
[iquote('0:MRR:13098.3,13358.0')] ).
cnf(13428,plain,
( ~ ssPv2(skf2(u))
| ~ ssRr(v,u)
| ssPv3(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[2,12907]),
[iquote('0:Res:2.0,12907.1')] ).
cnf(13429,plain,
( ~ ssRr(u,v)
| ssPv3(v)
| ssPv4(u) ),
inference(mrr,[status(thm)],[13428,13032]),
[iquote('0:MRR:13428.0,13032.1')] ).
cnf(13447,plain,
( ssPv3(u)
| ssPv4(skf3(u)) ),
inference(res,[status(thm),theory(equality)],[1,13429]),
[iquote('0:Res:1.0,13429.0')] ).
cnf(13448,plain,
( ssPv3(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,13429]),
[iquote('0:Res:2.0,13429.0')] ).
cnf(13450,plain,
( ~ ssPv2(u)
| ssPv1(skf2(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[4195,13447]),
[iquote('0:MRR:4195.1,13447.0')] ).
cnf(13451,plain,
( ~ ssPv4(u)
| ~ ssPv4(skf2(u))
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[3911,13447]),
[iquote('0:MRR:3911.1,13447.0')] ).
cnf(13458,plain,
( ~ ssPv1(u)
| ~ ssPv3(skf2(v))
| ~ ssRr(v,u)
| ssPv4(skf3(v)) ),
inference(mrr,[status(thm)],[10220,13447]),
[iquote('0:MRR:10220.0,13447.0')] ).
cnf(13468,plain,
( ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv4(u) ),
inference(mrr,[status(thm)],[13108,13448]),
[iquote('0:MRR:13108.0,13448.0')] ).
cnf(13502,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v)
| ssPv4(u) ),
inference(sor,[status(thm)],[12766,13448]),
[iquote('0:SoR:12766.0,13448.0')] ).
cnf(13545,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv2(skf2(u))
| ssPv4(skf2(skf2(u)))
| ssPv4(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[3954,13468]),
[iquote('0:SoR:3954.2,13468.0')] ).
cnf(13554,plain,
( ssPv4(skf2(skf2(u)))
| ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[13545,13448,13032]),
[iquote('0:MRR:13545.0,13545.1,13448.0,13032.1')] ).
cnf(13802,plain,
( ssPv3(u)
| ssPv1(skf2(u))
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[2,13502]),
[iquote('0:Res:2.0,13502.0')] ).
cnf(14050,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv2(skf2(u)) ),
inference(sor,[status(thm)],[164,12970,12764]),
[iquote('0:SoR:164.0,164.1,12970.3,12764.2')] ).
cnf(14059,plain,
( ~ ssPv3(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv2(skf2(u)) ),
inference(obv,[status(thm),theory(equality)],[14050]),
[iquote('0:Obv:14050.3')] ).
cnf(14060,plain,
( ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv2(skf2(u)) ),
inference(mrr,[status(thm)],[14059,13032]),
[iquote('0:MRR:14059.0,13032.0')] ).
cnf(14122,plain,
( ~ ssPv3(skf2(u))
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[2,11245]),
[iquote('0:Res:2.0,11245.2')] ).
cnf(14956,plain,
( ~ ssPv4(u)
| ~ ssPv1(skf2(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[2,13067]),
[iquote('0:Res:2.0,13067.2')] ).
cnf(14985,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[14956,12764]),
[iquote('0:SoR:14956.1,12764.2')] ).
cnf(14987,plain,
( ~ ssPv4(u)
| ssPv3(u)
| ssPv3(skf2(u)) ),
inference(sor,[status(thm)],[14956,12762]),
[iquote('0:SoR:14956.1,12762.1')] ).
cnf(14988,plain,
( ssPv3(u)
| ssPv3(skf2(u)) ),
inference(mrr,[status(thm)],[14987,13448]),
[iquote('0:MRR:14987.0,13448.1')] ).
cnf(14989,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[12766,14988]),
[iquote('0:MRR:12766.0,14988.1')] ).
cnf(14996,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,v)
| ssPv4(v)
| ssPv1(v)
| ssPv4(u) ),
inference(mrr,[status(thm)],[15,14989]),
[iquote('0:MRR:15.0,14989.1')] ).
cnf(14997,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[32,14989]),
[iquote('0:MRR:32.0,14989.1')] ).
cnf(15017,plain,
( ~ ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[14985,12762,3669]),
[iquote('0:MRR:14985.1,14985.2,12762.1,3669.1')] ).
cnf(15018,plain,
( ssPv2(skf2(skf2(u)))
| ssPv3(u) ),
inference(mrr,[status(thm)],[13095,15017]),
[iquote('0:MRR:13095.1,15017.0')] ).
cnf(15019,plain,
( ssPv1(skf2(skf2(u)))
| ssPv3(u) ),
inference(mrr,[status(thm)],[13468,15017]),
[iquote('0:MRR:13468.2,15017.0')] ).
cnf(15020,plain,
( ssPv4(skf2(skf2(u)))
| ssPv3(u) ),
inference(mrr,[status(thm)],[13554,15017]),
[iquote('0:MRR:13554.1,15017.0')] ).
cnf(15021,plain,
( ssPv3(u)
| ssPv1(skf2(u)) ),
inference(mrr,[status(thm)],[13802,15017]),
[iquote('0:MRR:13802.2,15017.0')] ).
cnf(15095,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv1(v)
| ssPv4(u) ),
inference(con,[status(thm)],[14996]),
[iquote('0:Con:14996.1')] ).
cnf(15098,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w) ),
inference(mrr,[status(thm)],[34,14997]),
[iquote('0:MRR:34.2,14997.4')] ).
cnf(15100,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v) ),
inference(con,[status(thm)],[15098]),
[iquote('0:Con:15098.4')] ).
cnf(15216,plain,
( ~ ssPv4(skf3(u))
| ~ ssPv1(skf3(u))
| ~ ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,15100]),
[iquote('0:Res:1.0,15100.3')] ).
cnf(15217,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv2(skf2(u)) ),
inference(res,[status(thm),theory(equality)],[2,15100]),
[iquote('0:Res:2.0,15100.3')] ).
cnf(15352,plain,
( ~ ssPv4(skf2(skf2(u)))
| ~ ssPv1(skf2(skf2(u)))
| ssPv3(u)
| ssPv4(skf2(u)) ),
inference(sor,[status(thm)],[15217,13359]),
[iquote('0:SoR:15217.2,13359.0')] ).
cnf(15354,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ~ ssPv2(u)
| ssPv4(skf3(u))
| ssPv4(u) ),
inference(sor,[status(thm)],[15217,13096]),
[iquote('0:SoR:15217.2,13096.1')] ).
cnf(15355,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv1(skf2(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[15217,15018]),
[iquote('0:SoR:15217.2,15018.0')] ).
cnf(15361,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv2(u)
| ~ ssPv1(u) ),
inference(sor,[status(thm)],[15217,14060]),
[iquote('0:SoR:15217.2,14060.2')] ).
cnf(15363,plain,
( ~ ssPv4(skf2(u))
| ssPv3(u) ),
inference(mrr,[status(thm)],[15355,15021]),
[iquote('0:MRR:15355.1,15021.1')] ).
cnf(15376,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv1(u) ),
inference(obv,[status(thm),theory(equality)],[15361]),
[iquote('0:Obv:15361.1')] ).
cnf(15378,plain,
( ~ ssPv4(u)
| ~ ssPv1(u)
| ~ ssPv1(skf3(u)) ),
inference(mrr,[status(thm)],[163,15376]),
[iquote('0:MRR:163.3,15376.1')] ).
cnf(15383,plain,
( ssPv3(u)
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[15352,15020,15019]),
[iquote('0:MRR:15352.0,15352.1,15020.0,15019.0')] ).
cnf(15384,plain,
ssPv3(u),
inference(mrr,[status(thm)],[15383,15363]),
[iquote('0:MRR:15383.1,15363.0')] ).
cnf(15387,plain,
( ~ ssPv2(u)
| ~ ssPv1(skf2(u))
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[3954,15384]),
[iquote('0:MRR:3954.0,15384.0')] ).
cnf(15390,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(v) ),
inference(mrr,[status(thm)],[33,15384]),
[iquote('0:MRR:33.2,15384.0')] ).
cnf(15403,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(skf3(v)) ),
inference(mrr,[status(thm)],[13458,15384]),
[iquote('0:MRR:13458.1,15384.0')] ).
cnf(15404,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[14122,15384]),
[iquote('0:MRR:14122.0,15384.0')] ).
cnf(15416,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[15095,15404]),
[iquote('0:MRR:15095.3,15404.0')] ).
cnf(15420,plain,
( ~ ssRr(u,v)
| ~ ssRr(w,v)
| ssPv2(u)
| ssPv1(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[2386,15404]),
[iquote('0:MRR:2386.3,15404.0')] ).
cnf(15444,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(v)
| ssPv2(v) ),
inference(con,[status(thm)],[15420]),
[iquote('0:Con:15420.1')] ).
cnf(15448,plain,
( ~ ssPv4(skf2(u))
| ~ ssPv2(u)
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[15354,13450,13451]),
[iquote('0:MRR:15354.1,15354.4,13450.1,13451.0')] ).
cnf(15451,plain,
( ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv1(v) ),
inference(con,[status(thm)],[15390]),
[iquote('0:Con:15390.3')] ).
cnf(15463,plain,
( ssPv4(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,15416]),
[iquote('0:Res:1.0,15416.0')] ).
cnf(15469,plain,
( ~ ssPv2(u)
| ssPv4(skf2(u)) ),
inference(mrr,[status(thm)],[15387,15463]),
[iquote('0:MRR:15387.1,15463.1')] ).
cnf(15472,plain,
( ~ ssPv2(u)
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[15448,15469]),
[iquote('0:MRR:15448.0,15469.1')] ).
cnf(15481,plain,
( ~ ssPv1(skf3(u))
| ~ ssPv2(u) ),
inference(mrr,[status(thm)],[15216,15472]),
[iquote('0:MRR:15216.0,15472.1')] ).
cnf(15482,plain,
( ~ ssPv2(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[169,15481]),
[iquote('0:MRR:169.2,15481.0')] ).
cnf(15499,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[15444,15482]),
[iquote('0:MRR:15444.3,15482.0')] ).
cnf(15508,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[15451,15482]),
[iquote('0:MRR:15451.1,15482.1')] ).
cnf(15527,plain,
( ~ ssRr(u,v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[15508,15499]),
[iquote('0:MRR:15508.0,15499.1')] ).
cnf(15533,plain,
( ~ ssRr(u,v)
| ssPv4(skf3(u)) ),
inference(mrr,[status(thm)],[15403,15527]),
[iquote('0:MRR:15403.0,15527.1')] ).
cnf(15555,plain,
ssPv1(u),
inference(res,[status(thm),theory(equality)],[1,15527]),
[iquote('0:Res:1.0,15527.0')] ).
cnf(15563,plain,
~ ssPv4(u),
inference(mrr,[status(thm)],[15378,15555]),
[iquote('0:MRR:15378.2,15378.1,15555.0')] ).
cnf(15593,plain,
~ ssRr(u,v),
inference(mrr,[status(thm)],[15533,15563]),
[iquote('0:MRR:15533.1,15563.0')] ).
cnf(15598,plain,
$false,
inference(unc,[status(thm)],[15593,2]),
[iquote('0:UnC:15593.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN796-1 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 06:24:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.76/1.96
% 1.76/1.96 SPASS V 3.9
% 1.76/1.96 SPASS beiseite: Proof found.
% 1.76/1.96 % SZS status Theorem
% 1.76/1.96 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.76/1.96 SPASS derived 11499 clauses, backtracked 0 clauses, performed 0 splits and kept 2103 clauses.
% 1.76/1.96 SPASS allocated 87791 KBytes.
% 1.76/1.96 SPASS spent 0:00:01.60 on the problem.
% 1.76/1.96 0:00:00.04 for the input.
% 1.76/1.96 0:00:00.00 for the FLOTTER CNF translation.
% 1.76/1.96 0:00:00.22 for inferences.
% 1.76/1.96 0:00:00.00 for the backtracking.
% 1.76/1.96 0:00:01.30 for the reduction.
% 1.76/1.96
% 1.76/1.96
% 1.76/1.96 Here is a proof with depth 12, length 372 :
% 1.76/1.96 % SZS output start Refutation
% See solution above
% 4.78/4.99 Formulae used in the proof : clause1 clause2 clause3 clause4 clause5 clause6 clause7 clause8 clause11 clause12 clause13 clause14 clause15 clause16 clause17 clause18 clause19 clause20 clause21 clause22 clause23 clause24 clause26 clause27 clause28 clause29 clause30 clause32 clause33 clause34 clause36 clause40 clause44 clause48 clause50 clause51
% 4.78/4.99
%------------------------------------------------------------------------------