TSTP Solution File: SYN755-1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN755-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 12:24:10 EDT 2022
% Result : Unsatisfiable 0.10s 0.36s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 58
% Number of leaves : 34
% Syntax : Number of clauses : 185 ( 5 unt; 123 nHn; 185 RR)
% Number of literals : 836 ( 0 equ; 458 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ssRr(u,skf1(u)),
file('SYN755-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u) ),
file('SYN755-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv1(u) ),
file('SYN755-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv3(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(v)
| ~ ssRr(u,v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv2(u)
| ssPv1(v)
| ssPv4(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(9,axiom,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(u)
| ssPv1(w)
| ssPv4(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(10,axiom,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u)
| ssPv2(w)
| ssPv3(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(11,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv3(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv4(w)
| ssPv2(v)
| ssPv4(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v)
| ssPv1(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(14,axiom,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(w)
| ssPv2(v)
| ssPv3(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssPv1(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(w)
| ssPv2(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv4(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ssPv1(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv2(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(u)
| ssPv1(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(24,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv2(w)
| ssPv4(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(w)
| ssPv1(v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(28,axiom,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(u)
| ssPv4(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(29,axiom,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ssPv3(w)
| ssPv1(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv3(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssPv4(w)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u) ),
file('SYN755-1.p',unknown),
[] ).
cnf(34,axiom,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssPv4(w)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(u) ),
file('SYN755-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssPv3(w)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv1(w) ),
file('SYN755-1.p',unknown),
[] ).
cnf(37,axiom,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(w)
| ssPv3(x) ),
file('SYN755-1.p',unknown),
[] ).
cnf(42,axiom,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv2(w)
| ssPv3(x) ),
file('SYN755-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv3(w)
| ssPv4(x) ),
file('SYN755-1.p',unknown),
[] ).
cnf(47,axiom,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv3(w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ssPv4(x) ),
file('SYN755-1.p',unknown),
[] ).
cnf(49,axiom,
( ~ ssPv1(u)
| ~ ssPv1(v)
| ~ ssPv3(w)
| ~ ssRr(u,v)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ssPv1(x) ),
file('SYN755-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ ssPv3(u)
| ~ ssPv1(v)
| ~ ssPv2(w)
| ~ ssPv4(x)
| ~ ssRr(u,x)
| ~ ssRr(u,w)
| ~ ssRr(u,v) ),
file('SYN755-1.p',unknown),
[] ).
cnf(52,plain,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[24,12]),
[iquote('0:MRR:24.0,12.3')] ).
cnf(53,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv3(w) ),
inference(mrr,[status(thm)],[20,14]),
[iquote('0:MRR:20.1,14.5')] ).
cnf(54,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv1(u) ),
inference(mrr,[status(thm)],[36,27]),
[iquote('0:MRR:36.0,27.4')] ).
cnf(55,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv3(w) ),
inference(mrr,[status(thm)],[30,53]),
[iquote('0:MRR:30.1,53.4')] ).
cnf(140,plain,
( ~ ssPv1(skf1(u))
| ssPv3(u)
| ssPv2(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,2]),
[iquote('0:Res:1.0,2.1')] ).
cnf(144,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv1(u)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.0,6.3')] ).
cnf(146,plain,
( ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(v) ),
inference(res,[status(thm),theory(equality)],[1,53]),
[iquote('0:Res:1.0,53.1')] ).
cnf(148,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v) ),
inference(res,[status(thm),theory(equality)],[1,52]),
[iquote('0:Res:1.0,52.1')] ).
cnf(149,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[3,148]),
[iquote('0:MRR:3.0,148.3')] ).
cnf(150,plain,
( ~ ssPv1(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v) ),
inference(mrr,[status(thm)],[11,149]),
[iquote('0:MRR:11.5,149.0')] ).
cnf(151,plain,
( ~ ssPv3(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv3(w) ),
inference(mrr,[status(thm)],[33,149]),
[iquote('0:MRR:33.0,149.2')] ).
cnf(152,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v) ),
inference(con,[status(thm)],[150]),
[iquote('0:Con:150.1')] ).
cnf(153,plain,
( ~ ssPv1(u)
| ~ ssPv4(v)
| ~ ssRr(w,u)
| ~ ssRr(w,v)
| ssPv3(w) ),
inference(mrr,[status(thm)],[34,152]),
[iquote('0:MRR:34.0,152.2')] ).
cnf(154,plain,
( ~ ssPv1(u)
| ~ ssPv2(v)
| ~ ssPv4(w)
| ~ ssRr(x,w)
| ~ ssRr(x,v)
| ~ ssRr(x,u) ),
inference(mrr,[status(thm)],[51,153]),
[iquote('0:MRR:51.0,153.4')] ).
cnf(155,plain,
( ~ ssPv3(skf1(u))
| ssPv4(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,149]),
[iquote('0:Res:1.0,149.1')] ).
cnf(157,plain,
( ~ ssPv3(skf1(u))
| ssPv4(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,148]),
[iquote('0:Res:1.0,148.1')] ).
cnf(159,plain,
( ~ ssPv1(skf1(u))
| ssPv4(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,152]),
[iquote('0:Res:1.0,152.1')] ).
cnf(160,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv2(u)
| ~ ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.4')] ).
cnf(161,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,54]),
[iquote('0:Res:1.0,54.2')] ).
cnf(163,plain,
( ~ ssPv4(u)
| ~ ssPv3(v)
| ~ ssRr(u,v)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,55]),
[iquote('0:Res:1.0,55.2')] ).
cnf(164,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv4(u)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(sor,[status(thm)],[161,163]),
[iquote('0:SoR:161.1,163.3')] ).
cnf(169,plain,
( ~ ssPv3(u)
| ~ ssPv3(v)
| ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u) ),
inference(con,[status(thm)],[164]),
[iquote('0:Con:164.3')] ).
cnf(170,plain,
( ~ ssPv3(u)
| ~ ssPv3(skf1(u))
| ~ ssPv4(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,169]),
[iquote('0:Res:1.0,169.3')] ).
cnf(174,plain,
( ~ ssPv3(skf1(u))
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,151]),
[iquote('0:Res:1.0,151.2')] ).
cnf(175,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv4(v)
| ~ ssRr(u,v)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,153]),
[iquote('0:Res:1.0,153.2')] ).
cnf(176,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssPv2(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v) ),
inference(sor,[status(thm)],[174,144]),
[iquote('0:SoR:174.0,144.3')] ).
cnf(178,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v) ),
inference(mrr,[status(thm)],[176,5]),
[iquote('0:MRR:176.1,5.4')] ).
cnf(179,plain,
( ~ ssPv4(skf1(u))
| ~ ssPv2(u)
| ~ ssPv4(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,178]),
[iquote('0:Res:1.0,178.3')] ).
cnf(180,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(u)
| ssPv1(skf1(u))
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(183,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[159,180]),
[iquote('0:SoR:159.0,180.3')] ).
cnf(184,plain,
( ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(u)
| ssPv1(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(sor,[status(thm)],[140,180]),
[iquote('0:SoR:140.0,180.3')] ).
cnf(186,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[183]),
[iquote('0:Obv:183.2')] ).
cnf(187,plain,
( ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v)
| ssPv2(u)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[184]),
[iquote('0:Obv:184.2')] ).
cnf(194,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v)
| ssPv1(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.1')] ).
cnf(195,plain,
( ssPv1(u)
| ssPv4(skf1(u))
| ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,187]),
[iquote('0:Res:1.0,187.0')] ).
cnf(205,plain,
( ~ ssPv1(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv1(v)
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.1')] ).
cnf(209,plain,
( ~ ssPv1(u)
| ssPv4(u)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,205]),
[iquote('0:Res:1.0,205.1')] ).
cnf(212,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,16]),
[iquote('0:Res:1.0,16.1')] ).
cnf(214,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[170,212]),
[iquote('0:SoR:170.1,212.4')] ).
cnf(216,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv2(v)
| ssPv1(v)
| ssPv2(v) ),
inference(sor,[status(thm)],[157,212]),
[iquote('0:SoR:157.0,212.4')] ).
cnf(219,plain,
( ~ ssPv1(skf1(u))
| ssPv2(u)
| ssPv1(u)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,212]),
[iquote('0:Res:1.0,212.1')] ).
cnf(220,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(v)
| ssPv2(v) ),
inference(obv,[status(thm),theory(equality)],[216]),
[iquote('0:Obv:216.3')] ).
cnf(221,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[214]),
[iquote('0:Obv:214.4')] ).
cnf(222,plain,
( ~ ssPv4(u)
| ~ ssPv1(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[221,2]),
[iquote('0:MRR:221.0,2.2')] ).
cnf(223,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv2(v) ),
inference(mrr,[status(thm)],[222,220]),
[iquote('0:MRR:222.0,220.2')] ).
cnf(224,plain,
( ~ ssPv1(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[23,223]),
[iquote('0:MRR:23.0,223.2')] ).
cnf(228,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(skf1(v))
| ssPv2(v)
| ssPv4(v) ),
inference(sor,[status(thm)],[219,194]),
[iquote('0:SoR:219.0,194.4')] ).
cnf(231,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv3(skf1(v))
| ssPv2(v)
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[228]),
[iquote('0:Obv:228.2')] ).
cnf(232,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv2(v)
| ssPv4(v) ),
inference(mrr,[status(thm)],[231,157]),
[iquote('0:MRR:231.3,157.0')] ).
cnf(233,plain,
( ~ ssPv1(skf1(u))
| ssPv1(u)
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,223]),
[iquote('0:Res:1.0,223.1')] ).
cnf(238,plain,
( ~ ssPv1(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,224]),
[iquote('0:Res:1.0,224.1')] ).
cnf(244,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v)
| ssPv3(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.1')] ).
cnf(245,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv3(u)
| ssPv2(v)
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.1')] ).
cnf(247,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv1(u)
| ssPv2(u) ),
inference(sor,[status(thm)],[170,244]),
[iquote('0:SoR:170.1,244.4')] ).
cnf(254,plain,
( ~ ssPv3(u)
| ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(u) ),
inference(obv,[status(thm),theory(equality)],[247]),
[iquote('0:Obv:247.4')] ).
cnf(255,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[254,232]),
[iquote('0:MRR:254.1,232.4')] ).
cnf(263,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u)
| ssPv2(v)
| ssPv3(u) ),
inference(sor,[status(thm)],[155,245]),
[iquote('0:SoR:155.0,245.4')] ).
cnf(265,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv2(skf1(u))
| ssPv3(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,245]),
[iquote('0:Res:1.0,245.1')] ).
cnf(266,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv2(v)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[263]),
[iquote('0:Obv:263.3')] ).
cnf(272,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv3(u)
| ssPv2(skf1(u))
| ssPv3(u) ),
inference(sor,[status(thm)],[155,265]),
[iquote('0:SoR:155.0,265.3')] ).
cnf(274,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv2(skf1(u))
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[272]),
[iquote('0:Obv:272.2')] ).
cnf(284,plain,
( ~ ssPv2(u)
| ~ ssPv4(skf1(v))
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(v) ),
inference(res,[status(thm),theory(equality)],[1,29]),
[iquote('0:Res:1.0,29.2')] ).
cnf(300,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(v)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v) ),
inference(sor,[status(thm)],[284,195]),
[iquote('0:SoR:284.1,195.1')] ).
cnf(304,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv2(v)
| ssPv1(v) ),
inference(obv,[status(thm),theory(equality)],[300]),
[iquote('0:Obv:300.3')] ).
cnf(305,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[304,255]),
[iquote('0:MRR:304.2,255.0')] ).
cnf(306,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv4(w) ),
inference(mrr,[status(thm)],[21,305]),
[iquote('0:MRR:21.0,305.3')] ).
cnf(308,plain,
( ~ ssPv2(skf1(u))
| ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,306]),
[iquote('0:Res:1.0,306.1')] ).
cnf(315,plain,
( ~ ssPv2(u)
| ~ ssPv3(skf1(u))
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.2')] ).
cnf(442,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.3')] ).
cnf(451,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ~ ssPv2(skf1(u))
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,442]),
[iquote('0:Res:1.0,442.3')] ).
cnf(532,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(skf1(v))
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,37]),
[iquote('0:Res:1.0,37.1')] ).
cnf(556,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(skf1(v))
| ssPv3(skf1(v)) ),
inference(res,[status(thm),theory(equality)],[1,532]),
[iquote('0:Res:1.0,532.1')] ).
cnf(565,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv3(v)
| ssPv1(skf1(v))
| ssPv4(v) ),
inference(sor,[status(thm)],[155,556]),
[iquote('0:SoR:155.0,556.4')] ).
cnf(569,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(skf1(v))
| ssPv4(v) ),
inference(obv,[status(thm),theory(equality)],[565]),
[iquote('0:Obv:565.2')] ).
cnf(570,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv4(v) ),
inference(mrr,[status(thm)],[569,159]),
[iquote('0:MRR:569.3,159.0')] ).
cnf(571,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[266,570]),
[iquote('0:MRR:266.3,570.0')] ).
cnf(572,plain,
( ~ ssRr(u,v)
| ssPv4(u)
| ssPv4(v)
| ssPv3(u) ),
inference(mrr,[status(thm)],[186,571]),
[iquote('0:MRR:186.3,571.0')] ).
cnf(581,plain,
( ssPv4(u)
| ssPv4(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,572]),
[iquote('0:Res:1.0,572.0')] ).
cnf(621,plain,
( ~ ssPv2(skf1(u))
| ssPv3(u)
| ssPv4(u) ),
inference(res,[status(thm),theory(equality)],[1,570]),
[iquote('0:Res:1.0,570.1')] ).
cnf(622,plain,
( ~ ssPv2(u)
| ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[274,621]),
[iquote('0:MRR:274.2,621.0')] ).
cnf(623,plain,
( ~ ssPv4(skf1(u))
| ~ ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[179,622]),
[iquote('0:MRR:179.2,622.1')] ).
cnf(648,plain,
( ~ ssPv2(u)
| ~ ssPv2(skf1(u))
| ssPv3(u)
| ssPv3(skf1(u)) ),
inference(sor,[status(thm)],[623,622]),
[iquote('0:SoR:623.0,622.1')] ).
cnf(651,plain,
( ~ ssPv2(u)
| ssPv3(u)
| ssPv3(skf1(u)) ),
inference(mrr,[status(thm)],[648,265]),
[iquote('0:MRR:648.1,265.2')] ).
cnf(655,plain,
( ~ ssPv2(u)
| ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v)
| ssPv3(u) ),
inference(sor,[status(thm)],[315,651]),
[iquote('0:SoR:315.1,651.2')] ).
cnf(664,plain,
( ~ ssPv2(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v)
| ssPv3(u) ),
inference(obv,[status(thm),theory(equality)],[655]),
[iquote('0:Obv:655.0')] ).
cnf(665,plain,
( ~ ssRr(u,v)
| ssPv1(u)
| ssPv4(v)
| ssPv3(u) ),
inference(mrr,[status(thm)],[664,187]),
[iquote('0:MRR:664.0,187.3')] ).
cnf(666,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(v) ),
inference(mrr,[status(thm)],[29,665]),
[iquote('0:MRR:29.1,665.2')] ).
cnf(667,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(v) ),
inference(con,[status(thm)],[666]),
[iquote('0:Con:666.1')] ).
cnf(671,plain,
( ssPv1(u)
| ssPv4(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,665]),
[iquote('0:Res:1.0,665.0')] ).
cnf(708,plain,
( ~ ssPv4(u)
| ~ ssPv4(skf1(u))
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv3(w) ),
inference(res,[status(thm),theory(equality)],[1,42]),
[iquote('0:Res:1.0,42.2')] ).
cnf(792,plain,
( ~ ssPv1(u)
| ~ ssPv1(skf1(u))
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
inference(res,[status(thm),theory(equality)],[1,49]),
[iquote('0:Res:1.0,49.3')] ).
cnf(914,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv2(v)
| ssPv3(w)
| ssPv3(u)
| ssPv1(u) ),
inference(sor,[status(thm)],[708,671]),
[iquote('0:SoR:708.1,671.1')] ).
cnf(916,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv3(w)
| ssPv3(u)
| ssPv1(u) ),
inference(mrr,[status(thm)],[914,667]),
[iquote('0:MRR:914.3,667.0')] ).
cnf(919,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv3(v)
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,916]),
[iquote('0:Res:1.0,916.1')] ).
cnf(920,plain,
( ~ ssPv4(u)
| ssPv3(skf1(u))
| ssPv3(u)
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,919]),
[iquote('0:Res:1.0,919.1')] ).
cnf(923,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(v)
| ssPv3(v) ),
inference(sor,[status(thm)],[174,920]),
[iquote('0:SoR:174.0,920.1')] ).
cnf(929,plain,
( ~ ssPv4(u)
| ~ ssPv4(v)
| ~ ssRr(v,u)
| ssPv1(v)
| ssPv3(v) ),
inference(obv,[status(thm),theory(equality)],[923]),
[iquote('0:Obv:923.3')] ).
cnf(930,plain,
( ~ ssPv4(u)
| ~ ssRr(u,v)
| ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[929,665]),
[iquote('0:MRR:929.0,665.2')] ).
cnf(958,plain,
( ~ ssPv4(u)
| ssPv1(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,930]),
[iquote('0:Res:1.0,930.1')] ).
cnf(965,plain,
( ~ ssPv4(skf1(u))
| ssPv4(u)
| ssPv3(u)
| ssPv1(skf1(u)) ),
inference(sor,[status(thm)],[155,958]),
[iquote('0:SoR:155.0,958.2')] ).
cnf(967,plain,
( ssPv4(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[965,581,159]),
[iquote('0:MRR:965.0,965.3,581.1,159.0')] ).
cnf(968,plain,
( ssPv1(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[958,967]),
[iquote('0:MRR:958.0,967.0')] ).
cnf(970,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv1(v) ),
inference(mrr,[status(thm)],[54,968]),
[iquote('0:MRR:54.0,968.1')] ).
cnf(973,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv1(v) ),
inference(con,[status(thm)],[970]),
[iquote('0:Con:970.2')] ).
cnf(974,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v)
| ssPv2(w) ),
inference(mrr,[status(thm)],[22,973]),
[iquote('0:MRR:22.0,973.2')] ).
cnf(976,plain,
( ~ ssPv2(u)
| ~ ssPv3(v)
| ~ ssRr(w,u)
| ~ ssRr(w,x)
| ~ ssRr(w,v)
| ssPv4(x) ),
inference(mrr,[status(thm)],[47,973]),
[iquote('0:MRR:47.0,973.2')] ).
cnf(977,plain,
( ~ ssPv1(skf1(u))
| ~ ssPv3(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[792,973]),
[iquote('0:MRR:792.0,973.2')] ).
cnf(987,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ~ ssRr(u,x)
| ssPv4(x) ),
inference(mrr,[status(thm)],[44,976]),
[iquote('0:MRR:44.5,976.1')] ).
cnf(988,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w)
| ssPv4(w) ),
inference(con,[status(thm)],[987]),
[iquote('0:Con:987.3')] ).
cnf(999,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(v)
| ssPv1(skf1(v)) ),
inference(sor,[status(thm)],[174,968]),
[iquote('0:SoR:174.0,968.1')] ).
cnf(1005,plain,
( ~ ssPv4(u)
| ~ ssRr(v,u)
| ssPv3(v) ),
inference(mrr,[status(thm)],[999,175]),
[iquote('0:MRR:999.3,175.0')] ).
cnf(1011,plain,
( ~ ssPv3(skf1(u))
| ssPv1(u) ),
inference(res,[status(thm),theory(equality)],[1,973]),
[iquote('0:Res:1.0,973.1')] ).
cnf(1015,plain,
( ssPv1(u)
| ssPv1(skf1(u)) ),
inference(sor,[status(thm)],[1011,968]),
[iquote('0:SoR:1011.0,968.1')] ).
cnf(1016,plain,
( ssPv4(u)
| ssPv1(skf1(u))
| ssPv4(skf1(u)) ),
inference(mrr,[status(thm)],[209,1015]),
[iquote('0:MRR:209.0,1015.0')] ).
cnf(1017,plain,
( ssPv1(u)
| ssPv2(u) ),
inference(mrr,[status(thm)],[233,1015]),
[iquote('0:MRR:233.0,1015.1')] ).
cnf(1023,plain,
( ~ ssPv4(u)
| ~ ssPv2(u)
| ssPv1(skf1(u)) ),
inference(mrr,[status(thm)],[451,1017]),
[iquote('0:MRR:451.2,1017.1')] ).
cnf(1026,plain,
( ~ ssPv4(u)
| ~ ssPv3(u)
| ~ ssPv2(u) ),
inference(mrr,[status(thm)],[160,1023]),
[iquote('0:MRR:160.3,1023.2')] ).
cnf(1035,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv4(v)
| ssPv1(skf1(u)) ),
inference(sor,[status(thm)],[308,1017]),
[iquote('0:SoR:308.0,1017.1')] ).
cnf(1093,plain,
( ssPv1(skf1(u))
| ssPv1(skf1(u))
| ssPv4(u)
| ssPv1(skf1(u)) ),
inference(ems,[status(thm)],[1026,1016,968,1017]),
[iquote('0:EmS:1026.0,1026.1,1026.2,1016.2,968.1,1017.1')] ).
cnf(1096,plain,
( ssPv4(u)
| ssPv1(skf1(u)) ),
inference(obv,[status(thm),theory(equality)],[1093]),
[iquote('0:Obv:1093.1')] ).
cnf(1097,plain,
( ~ ssPv2(u)
| ssPv1(skf1(u)) ),
inference(mrr,[status(thm)],[1023,1096]),
[iquote('0:MRR:1023.0,1096.0')] ).
cnf(1101,plain,
( ~ ssRr(u,v)
| ssPv4(v)
| ssPv1(skf1(u)) ),
inference(mrr,[status(thm)],[1035,1097]),
[iquote('0:MRR:1035.1,1097.0')] ).
cnf(1121,plain,
( ~ ssPv4(skf1(u))
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,1005]),
[iquote('0:Res:1.0,1005.1')] ).
cnf(1124,plain,
( ssPv3(u)
| ssPv3(skf1(u)) ),
inference(sor,[status(thm)],[1121,967]),
[iquote('0:SoR:1121.0,967.0')] ).
cnf(1133,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(v)
| ssPv3(u) ),
inference(sor,[status(thm)],[146,1124]),
[iquote('0:SoR:146.0,1124.1')] ).
cnf(1146,plain,
( ssPv4(skf1(u))
| ssPv1(skf1(u)) ),
inference(res,[status(thm),theory(equality)],[1,1101]),
[iquote('0:Res:1.0,1101.0')] ).
cnf(1158,plain,
( ssPv1(skf1(u))
| ssPv1(skf1(u))
| ssPv1(skf1(u)) ),
inference(ems,[status(thm)],[1026,1146,968,1017]),
[iquote('0:EmS:1026.0,1026.1,1026.2,1146.0,968.1,1017.1')] ).
cnf(1165,plain,
ssPv1(skf1(u)),
inference(obv,[status(thm),theory(equality)],[1158]),
[iquote('0:Obv:1158.1')] ).
cnf(1166,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv1(v) ),
inference(mrr,[status(thm)],[238,1165]),
[iquote('0:MRR:238.0,1165.0')] ).
cnf(1168,plain,
( ~ ssPv3(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv1(w) ),
inference(mrr,[status(thm)],[977,1165]),
[iquote('0:MRR:977.0,1165.0')] ).
cnf(1169,plain,
( ~ ssPv4(u)
| ~ ssPv2(v)
| ~ ssRr(u,w)
| ~ ssRr(u,v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[31,1166]),
[iquote('0:MRR:31.1,1166.1')] ).
cnf(1171,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,x)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(w) ),
inference(mrr,[status(thm)],[37,1168]),
[iquote('0:MRR:37.6,1168.0')] ).
cnf(1177,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv4(v)
| ssPv1(w) ),
inference(con,[status(thm)],[1171]),
[iquote('0:Con:1171.2')] ).
cnf(1178,plain,
( ~ ssPv2(u)
| ~ ssRr(v,w)
| ~ ssRr(v,u)
| ssPv1(w) ),
inference(mrr,[status(thm)],[1177,1169]),
[iquote('0:MRR:1177.3,1169.0')] ).
cnf(1179,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u)
| ~ ssRr(w,x) ),
inference(mrr,[status(thm)],[154,1178]),
[iquote('0:MRR:154.0,1178.3')] ).
cnf(1193,plain,
( ~ ssPv2(u)
| ~ ssPv4(v)
| ~ ssRr(w,v)
| ~ ssRr(w,u) ),
inference(con,[status(thm)],[1179]),
[iquote('0:Con:1179.4')] ).
cnf(1197,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v) ),
inference(mrr,[status(thm)],[306,1193]),
[iquote('0:MRR:306.4,1193.1')] ).
cnf(1198,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v)
| ~ ssRr(u,w) ),
inference(mrr,[status(thm)],[988,1193]),
[iquote('0:MRR:988.4,1193.1')] ).
cnf(1200,plain,
( ~ ssPv2(u)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(con,[status(thm)],[1197]),
[iquote('0:Con:1197.2')] ).
cnf(1201,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ~ ssRr(v,w)
| ssPv2(v) ),
inference(mrr,[status(thm)],[974,1200]),
[iquote('0:MRR:974.4,1200.0')] ).
cnf(1203,plain,
( ~ ssPv3(u)
| ~ ssRr(v,u)
| ssPv2(v) ),
inference(con,[status(thm)],[1201]),
[iquote('0:Con:1201.2')] ).
cnf(1204,plain,
( ~ ssRr(u,v)
| ssPv2(u)
| ssPv3(u) ),
inference(mrr,[status(thm)],[1133,1203]),
[iquote('0:MRR:1133.2,1203.0')] ).
cnf(1207,plain,
( ~ ssPv3(u)
| ~ ssPv2(v)
| ~ ssRr(u,v) ),
inference(con,[status(thm)],[1198]),
[iquote('0:Con:1198.3')] ).
cnf(1214,plain,
( ~ ssPv2(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,1200]),
[iquote('0:Res:1.0,1200.1')] ).
cnf(1216,plain,
( ssPv2(u)
| ssPv3(u) ),
inference(res,[status(thm),theory(equality)],[1,1204]),
[iquote('0:Res:1.0,1204.0')] ).
cnf(1235,plain,
( ~ ssPv3(skf1(u))
| ssPv2(u) ),
inference(res,[status(thm),theory(equality)],[1,1203]),
[iquote('0:Res:1.0,1203.1')] ).
cnf(1261,plain,
( ssPv2(u)
| ssPv2(skf1(u)) ),
inference(sor,[status(thm)],[1235,1216]),
[iquote('0:SoR:1235.0,1216.1')] ).
cnf(1262,plain,
ssPv2(u),
inference(mrr,[status(thm)],[1261,1214]),
[iquote('0:MRR:1261.1,1214.0')] ).
cnf(1266,plain,
( ~ ssPv3(u)
| ~ ssRr(u,v) ),
inference(mrr,[status(thm)],[1207,1262]),
[iquote('0:MRR:1207.1,1262.0')] ).
cnf(1284,plain,
~ ssPv3(u),
inference(res,[status(thm),theory(equality)],[1,1266]),
[iquote('0:Res:1.0,1266.1')] ).
cnf(1288,plain,
$false,
inference(mrr,[status(thm)],[1124,1284]),
[iquote('0:MRR:1124.1,1124.0,1284.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : SYN755-1 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.07 % Command : run_spass %d %s
% 0.06/0.26 % Computer : n008.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 600
% 0.06/0.26 % DateTime : Mon Jul 11 23:40:38 EDT 2022
% 0.06/0.26 % CPUTime :
% 0.10/0.36
% 0.10/0.36 SPASS V 3.9
% 0.10/0.36 SPASS beiseite: Proof found.
% 0.10/0.36 % SZS status Theorem
% 0.10/0.36 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.36 SPASS derived 875 clauses, backtracked 0 clauses, performed 0 splits and kept 363 clauses.
% 0.10/0.36 SPASS allocated 76439 KBytes.
% 0.10/0.36 SPASS spent 0:00:00.09 on the problem.
% 0.10/0.36 0:00:00.02 for the input.
% 0.10/0.36 0:00:00.00 for the FLOTTER CNF translation.
% 0.10/0.36 0:00:00.01 for inferences.
% 0.10/0.36 0:00:00.00 for the backtracking.
% 0.10/0.36 0:00:00.05 for the reduction.
% 0.10/0.36
% 0.10/0.36
% 0.10/0.36 Here is a proof with depth 17, length 185 :
% 0.10/0.36 % SZS output start Refutation
% See solution above
% 0.10/0.38 Formulae used in the proof : clause1 clause2 clause3 clause5 clause6 clause7 clause8 clause9 clause10 clause11 clause12 clause13 clause14 clause15 clause16 clause20 clause21 clause22 clause23 clause24 clause27 clause28 clause29 clause30 clause31 clause33 clause34 clause36 clause37 clause42 clause44 clause47 clause49 clause51
% 0.10/0.38
%------------------------------------------------------------------------------