TSTP Solution File: SYN796-1 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : SYN796-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %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 : 300s
% DateTime : Wed Jul 27 13:25:17 EDT 2022
% Result : Unsatisfiable 144.92s 145.14s
% Output : Refutation 144.92s
% Verified :
% SZS Type : Refutation
% Derivation depth : 38
% Number of leaves : 29
% Syntax : Number of clauses : 112 ( 5 unt; 92 nHn; 45 RR)
% Number of literals : 511 ( 0 equ; 169 neg)
% Maximal clause size : 7 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 0 con; 1-1 aty)
% Number of variables : 194 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ ssRr(A,B)
| ssPv3(B)
| ssPv1(A)
| ssPv3(A)
| ssPv4(A) ),
file('SYN796-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ssPv1(B)
| ssPv2(A)
| ssPv3(A) ),
file('SYN796-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(B)
| ssPv2(A)
| ssPv1(B)
| ssPv4(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(B)
| ssPv2(A)
| ssPv1(B)
| ssPv3(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ssPv4(A)
| ssPv2(C)
| ssPv1(B)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(7,axiom,
( ~ ssRr(A,B)
| ~ ssRr(C,B)
| ~ ssPv1(B)
| ssPv4(A)
| ssPv1(C)
| ssPv4(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(8,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssRr(C,B)
| ssPv3(C)
| ssPv3(B)
| ssPv4(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(12,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv2(B)
| ssPv1(A)
| ssPv4(C)
| ssPv1(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(13,axiom,
( ~ ssRr(A,B)
| ~ ssPv3(A)
| ~ ssRr(C,B)
| ssPv4(C)
| ssPv1(B)
| ssPv4(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(15,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(B,C)
| ssPv2(C)
| ssPv1(B)
| ssPv3(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(16,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv2(B)
| ~ ssPv3(B)
| ssPv4(A)
| ssPv2(C) ),
file('SYN796-1.p',unknown),
[] ).
cnf(18,axiom,
( ~ ssRr(A,B)
| ~ ssRr(C,B)
| ~ ssPv1(B)
| ~ ssPv2(B)
| ssPv3(A)
| ssPv2(C) ),
file('SYN796-1.p',unknown),
[] ).
cnf(20,axiom,
( ~ ssRr(A,B)
| ~ ssPv3(B)
| ~ ssRr(A,C)
| ~ ssPv1(A)
| ssPv1(C)
| ssPv3(A) ),
file('SYN796-1.p',unknown),
[] ).
cnf(21,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv1(C)
| ~ ssPv4(B)
| ssPv2(A)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv4(C)
| ~ ssPv1(B)
| ssPv2(A)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(25,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv4(C)
| ~ ssPv2(B)
| ssPv1(A)
| ssPv1(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(B)
| ~ ssRr(A,C)
| ~ ssPv2(C)
| ssPv1(A)
| ssPv2(A) ),
file('SYN796-1.p',unknown),
[] ).
cnf(30,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(B)
| ~ ssRr(A,C)
| ~ ssPv1(A)
| ~ ssPv3(A)
| ssPv1(C) ),
file('SYN796-1.p',unknown),
[] ).
cnf(31,axiom,
( ~ ssRr(A,B)
| ~ ssPv3(B)
| ~ ssRr(A,C)
| ~ ssPv1(A)
| ~ ssPv2(A)
| ssPv1(C) ),
file('SYN796-1.p',unknown),
[] ).
cnf(33,axiom,
( ~ ssRr(A,B)
| ~ ssRr(C,B)
| ~ ssRr(B,D)
| ~ ssPv1(B)
| ssPv3(A)
| ssPv2(C)
| ssPv4(D) ),
file('SYN796-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv1(C)
| ~ ssRr(B,D)
| ssPv4(A)
| ssPv4(D)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(40,axiom,
( ~ ssRr(A,B)
| ~ ssPv1(A)
| ~ ssRr(C,B)
| ~ ssRr(B,D)
| ~ ssPv4(D)
| ssPv4(C)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(42,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(C,B)
| ~ ssRr(B,D)
| ~ ssPv1(D)
| ~ ssPv2(B)
| ssPv3(C) ),
file('SYN796-1.p',unknown),
[] ).
cnf(43,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(B,C)
| ~ ssPv3(C)
| ~ ssRr(B,D)
| ~ ssPv2(B)
| ssPv1(D) ),
file('SYN796-1.p',unknown),
[] ).
cnf(44,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssRr(C,B)
| ~ ssPv3(C)
| ~ ssRr(D,B)
| ~ ssPv1(D)
| ssPv2(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(48,axiom,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssRr(C,B)
| ~ ssPv3(C)
| ~ ssRr(B,D)
| ~ ssPv3(D)
| ssPv1(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(50,axiom,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(C,B)
| ~ ssPv1(C)
| ~ ssRr(B,D)
| ~ ssPv1(D)
| ~ ssPv1(B) ),
file('SYN796-1.p',unknown),
[] ).
cnf(55,plain,
( ~ ssRr(A,B)
| ~ ssPv1(B)
| ssPv4(A)
| ssPv1(A)
| ssPv4(B) ),
inference(factor,[status(thm)],[7]),
[iquote('factor,7.1.2')] ).
cnf(57,plain,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ssPv3(A)
| ssPv3(B)
| ssPv4(B) ),
inference(factor,[status(thm)],[8]),
[iquote('factor,8.1.3')] ).
cnf(63,plain,
( ~ ssRr(A,B)
| ~ ssPv3(A)
| ssPv4(A)
| ssPv1(B)
| ssPv4(B) ),
inference(factor,[status(thm)],[13]),
[iquote('factor,13.1.3')] ).
cnf(67,plain,
( ~ ssRr(A,B)
| ~ ssPv1(B)
| ~ ssPv2(B)
| ssPv3(A)
| ssPv2(A) ),
inference(factor,[status(thm)],[18]),
[iquote('factor,18.1.2')] ).
cnf(68,plain,
( ~ ssRr(A,B)
| ~ ssPv3(B)
| ~ ssPv1(A)
| ssPv1(B)
| ssPv3(A) ),
inference(factor,[status(thm)],[20]),
[iquote('factor,20.1.3')] ).
cnf(74,plain,
( ~ ssRr(A,B)
| ~ ssPv4(B)
| ~ ssPv2(B)
| ssPv1(A)
| ssPv2(A) ),
inference(factor,[status(thm)],[26]),
[iquote('factor,26.1.3')] ).
cnf(78,plain,
( ~ ssRr(A,B)
| ~ ssPv2(B)
| ~ ssPv1(A)
| ~ ssPv3(A)
| ssPv1(B) ),
inference(factor,[status(thm)],[30]),
[iquote('factor,30.1.3')] ).
cnf(79,plain,
( ~ ssRr(A,B)
| ~ ssPv3(B)
| ~ ssPv1(A)
| ~ ssPv2(A)
| ssPv1(B) ),
inference(factor,[status(thm)],[31]),
[iquote('factor,31.1.3')] ).
cnf(82,plain,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv1(B)
| ssPv3(A)
| ssPv2(A)
| ssPv4(C) ),
inference(factor,[status(thm)],[33]),
[iquote('factor,33.1.2')] ).
cnf(92,plain,
( ~ ssRr(A,B)
| ~ ssRr(B,C)
| ~ ssPv1(C)
| ssPv4(A)
| ssPv4(C)
| ssPv2(B) ),
inference(factor,[status(thm)],[36]),
[iquote('factor,36.2.4')] ).
cnf(101,plain,
( ~ ssRr(A,B)
| ~ ssPv1(A)
| ~ ssRr(B,C)
| ~ ssPv4(C)
| ssPv4(A)
| ssPv2(B) ),
inference(factor,[status(thm)],[40]),
[iquote('factor,40.1.3')] ).
cnf(104,plain,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(B,C)
| ~ ssPv1(C)
| ~ ssPv2(B)
| ssPv3(A) ),
inference(factor,[status(thm)],[42]),
[iquote('factor,42.1.3')] ).
cnf(111,plain,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssRr(B,C)
| ~ ssPv3(C)
| ~ ssPv2(B)
| ssPv1(C) ),
inference(factor,[status(thm)],[43]),
[iquote('factor,43.3.5')] ).
cnf(112,plain,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssPv3(A)
| ~ ssRr(C,B)
| ~ ssPv1(C)
| ssPv2(B) ),
inference(factor,[status(thm)],[44]),
[iquote('factor,44.1.3')] ).
cnf(125,plain,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssPv3(A)
| ~ ssRr(B,C)
| ~ ssPv3(C)
| ssPv1(B) ),
inference(factor,[status(thm)],[48]),
[iquote('factor,48.1.3')] ).
cnf(133,plain,
( ~ ssRr(A,B)
| ~ ssPv2(A)
| ~ ssPv1(A)
| ~ ssRr(B,C)
| ~ ssPv1(C)
| ~ ssPv1(B) ),
inference(factor,[status(thm)],[50]),
[iquote('factor,50.1.3')] ).
cnf(145,plain,
( ~ ssRr(A,B)
| ~ ssPv4(A)
| ~ ssPv3(A)
| ~ ssPv1(A)
| ssPv2(B) ),
inference(factor,[status(thm)],[112]),
[iquote('factor,112.1.4')] ).
cnf(151,axiom,
ssRr(skf3(A),A),
file('SYN796-1.p',unknown),
[] ).
cnf(152,axiom,
ssRr(A,skf2(A)),
file('SYN796-1.p',unknown),
[] ).
cnf(153,plain,
( ssPv4(skf3(skf3(A)))
| ssPv2(A)
| ssPv1(skf3(A))
| ssPv2(skf3(A)) ),
inference(hyper,[status(thm)],[151,6,151]),
[iquote('hyper,151,6,151')] ).
cnf(154,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv3(skf3(A))
| ssPv4(skf3(A)) ),
inference(hyper,[status(thm)],[151,1]),
[iquote('hyper,151,1')] ).
cnf(156,plain,
( ssPv4(skf3(A))
| ssPv2(skf2(A))
| ssPv1(A)
| ssPv2(A) ),
inference(hyper,[status(thm)],[152,6,151]),
[iquote('hyper,152,6,151')] ).
cnf(157,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv3(A)
| ssPv4(A) ),
inference(hyper,[status(thm)],[152,1]),
[iquote('hyper,152,1')] ).
cnf(160,plain,
( ssPv3(skf2(skf2(A)))
| ssPv1(skf2(A))
| ssPv3(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[157,4,152])])]),
[iquote('hyper,157,4,152,factor_simp,factor_simp')] ).
cnf(161,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv3(A)
| ssPv2(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[157,4,151])])]),
[iquote('hyper,157,4,151,factor_simp,factor_simp')] ).
cnf(162,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv3(A)
| ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[157,2,152])]),
[iquote('hyper,157,2,152,factor_simp')] ).
cnf(170,plain,
( ssPv2(skf2(A))
| ssPv1(A)
| ssPv2(A)
| ssPv2(skf3(A))
| ssPv3(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[156,2,151])]),
[iquote('hyper,156,2,151,factor_simp')] ).
cnf(179,plain,
( ssPv2(A)
| ssPv1(skf3(A))
| ssPv2(skf3(A))
| ssPv2(skf3(skf3(A)))
| ssPv3(skf3(skf3(A))) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[153,2,151])]),
[iquote('hyper,153,2,151,factor_simp')] ).
cnf(234,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv3(skf3(A))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[154,57,151])])]),
[iquote('hyper,154,57,151,factor_simp,factor_simp')] ).
cnf(244,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv3(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[154,2,151])]),
[iquote('hyper,154,2,151,factor_simp')] ).
cnf(256,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv3(skf3(A))
| ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[234,2,152])]),
[iquote('hyper,234,2,152,factor_simp')] ).
cnf(438,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv4(A)
| ssPv4(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[162,63,152])]),
[iquote('hyper,162,63,152,factor_simp')] ).
cnf(1345,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A))
| ssPv4(skf3(A))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[244,63,151])]),
[iquote('hyper,244,63,151,factor_simp')] ).
cnf(3823,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[438,4,152])])])]),
[iquote('hyper,438,4,152,factor_simp,factor_simp,factor_simp')] ).
cnf(3849,plain,
( ssPv3(skf2(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3823,125,152,162,152,160])])])])])])])])]),
[iquote('hyper,3823,125,152,162,152,160,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3854,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv2(skf2(A))
| ssPv2(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3849,125,151,156,170,152])])])])])])]),
[iquote('hyper,3849,125,151,156,170,152,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3904,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv2(skf3(A))
| ssPv4(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3854,3,152])])]),
[iquote('hyper,3854,3,152,factor_simp,factor_simp')] ).
cnf(3937,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv2(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3904,74,152,3854])])])])])])]),
[iquote('hyper,3904,74,152,3854,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(3973,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3937,3,151])])]),
[iquote('hyper,3937,3,151,factor_simp,factor_simp')] ).
cnf(4002,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv1(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3973,74,151,3937])])])])]),
[iquote('hyper,3973,74,151,3937,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4005,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[3973,4,151])])]),
[iquote('hyper,3973,4,151,factor_simp,factor_simp')] ).
cnf(4011,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv4(skf3(A))
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4005,16,151,152,3937])])])]),
[iquote('hyper,4005,16,151,152,3937,factor_simp,factor_simp,factor_simp')] ).
cnf(4027,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv1(skf3(A))
| ssPv1(skf3(skf3(A)))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4002,12,151,151])]),
[iquote('hyper,4002,12,151,151,factor_simp')] ).
cnf(4044,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv2(skf2(A))
| ssPv3(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4011,2,151])])]),
[iquote('hyper,4011,2,151,factor_simp,factor_simp')] ).
cnf(4048,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv1(skf3(A))
| ssPv1(skf3(skf3(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4027,25,151,151,4002])])])])])]),
[iquote('hyper,4027,25,151,151,4002,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4171,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[1345,125,151,244,152,161])])])])])])])])]),
[iquote('hyper,1345,125,151,244,152,161,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4179,plain,
( ssPv3(A)
| ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4171,4,151])])])]),
[iquote('hyper,4171,4,151,factor_simp,factor_simp,factor_simp')] ).
cnf(4182,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A))
| ssPv2(A)
| ssPv2(skf3(skf3(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4179,125,151,153,179,151])])])])])])]),
[iquote('hyper,4179,125,151,153,179,151,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4199,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A))
| ssPv2(skf3(skf3(A)))
| ssPv4(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4182,3,151])])]),
[iquote('hyper,4182,3,151,factor_simp,factor_simp')] ).
cnf(4212,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(A))
| ssPv2(skf3(skf3(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4199,74,151,4182])])])])])])]),
[iquote('hyper,4199,74,151,4182,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4220,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(skf3(A)))
| ssPv4(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4212,3,151])])]),
[iquote('hyper,4212,3,151,factor_simp,factor_simp')] ).
cnf(4231,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(skf3(A)))
| ssPv3(skf3(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4220,4,151])])]),
[iquote('hyper,4220,4,151,factor_simp,factor_simp')] ).
cnf(4232,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv2(skf3(skf3(A)))
| ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4231,125,151,4220,152,3849])])])])])]),
[iquote('hyper,4231,125,151,4220,152,3849,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4251,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A)
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4232,79,151,256,4048])])])])])])])]),
[iquote('hyper,4232,79,151,256,4048,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4253,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4251,111,151,4232,151,4002])])])])])])])])]),
[iquote('hyper,4251,111,151,4232,151,4002,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4270,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv1(skf2(A))
| ssPv4(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4253,12,151,152])])]),
[iquote('hyper,4253,12,151,152,factor_simp,factor_simp')] ).
cnf(4275,plain,
( ssPv1(skf3(A))
| ssPv1(A)
| ssPv1(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4270,25,151,152,4253])])])])])]),
[iquote('hyper,4270,25,151,152,4253,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4292,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf3(A))
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4275,78,151,3937,4044])])])])])])]),
[iquote('hyper,4275,78,151,3937,4044,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4420,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf2(A))
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4292,15,151,152])])]),
[iquote('hyper,4292,15,151,152,factor_simp,factor_simp')] ).
cnf(4425,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4420,79,151,4275,4292])])])])])])]),
[iquote('hyper,4420,79,151,4275,4292,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4432,plain,
( ssPv1(A)
| ssPv1(skf2(A))
| ssPv4(skf2(skf2(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4425,12,152,152])])]),
[iquote('hyper,4425,12,152,152,factor_simp,factor_simp')] ).
cnf(4437,plain,
( ssPv1(A)
| ssPv1(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4432,25,152,152,4425])])])])]),
[iquote('hyper,4432,25,152,152,4425,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4482,plain,
( ssPv1(A)
| ssPv3(A)
| ssPv2(A)
| ssPv4(skf2(skf2(A))) ),
inference(hyper,[status(thm)],[4437,82,152,152]),
[iquote('hyper,4437,82,152,152')] ).
cnf(4488,plain,
( ssPv1(A)
| ssPv4(A)
| ssPv4(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4437,55,152])]),
[iquote('hyper,4437,55,152,factor_simp')] ).
cnf(4513,plain,
( ssPv1(skf2(A))
| ssPv4(skf2(A))
| ssPv4(A)
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4488,101,152,4437,152])]),
[iquote('hyper,4488,101,152,4437,152,factor_simp')] ).
cnf(4567,plain,
( ssPv1(A)
| ssPv3(A)
| ssPv2(A)
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4482,23,152,152,4437])])]),
[iquote('hyper,4482,23,152,152,4437,factor_simp,factor_simp')] ).
cnf(4601,plain,
( ssPv1(skf2(A))
| ssPv4(A)
| ssPv2(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4513,21,152,152,4437])])]),
[iquote('hyper,4513,21,152,152,4437,factor_simp,factor_simp')] ).
cnf(4602,plain,
( ssPv1(skf2(A))
| ssPv2(skf2(A))
| ssPv2(A)
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4601,2,152])])]),
[iquote('hyper,4601,2,152,factor_simp,factor_simp')] ).
cnf(4603,plain,
( ssPv1(skf2(A))
| ssPv2(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4602,145,152,4601,4437])])])])])]),
[iquote('hyper,4602,145,152,4601,4437,factor_simp,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4608,plain,
( ssPv1(skf2(A))
| ssPv2(A)
| ssPv4(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4603,3,152])])]),
[iquote('hyper,4603,3,152,factor_simp,factor_simp')] ).
cnf(4610,plain,
( ssPv1(skf2(A))
| ssPv2(skf2(A))
| ssPv2(skf2(skf2(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4603,79,152,4567,4437])])])])]),
[iquote('hyper,4603,79,152,4567,4437,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4617,plain,
( ssPv1(skf2(A))
| ssPv2(A)
| ssPv3(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4608,4,152])])]),
[iquote('hyper,4608,4,152,factor_simp,factor_simp')] ).
cnf(4629,plain,
( ssPv1(skf2(A))
| ssPv2(A)
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4617,68,152,4437])])]),
[iquote('hyper,4617,68,152,4437,factor_simp,factor_simp')] ).
cnf(4639,plain,
( ssPv1(skf2(A))
| ssPv2(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4629,78,152,4603,4437])])])])]),
[iquote('hyper,4629,78,152,4603,4437,factor_simp,factor_simp,factor_simp,factor_simp')] ).
cnf(4688,plain,
( ssPv1(skf2(A))
| ssPv2(skf2(A))
| ssPv3(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4610,67,152,4437])])]),
[iquote('hyper,4610,67,152,4437,factor_simp,factor_simp')] ).
cnf(4692,plain,
( ssPv1(skf2(A))
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4688,79,152,4437,4639])])])]),
[iquote('hyper,4688,79,152,4437,4639,factor_simp,factor_simp,factor_simp')] ).
cnf(4695,plain,
( ssPv1(skf2(A))
| ssPv3(A) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4692,104,152,4639,152,4437])])]),
[iquote('hyper,4692,104,152,4639,152,4437,factor_simp,factor_simp')] ).
cnf(4717,plain,
ssPv1(skf2(A)),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4695,78,152,4692,4437])])])]),
[iquote('hyper,4695,78,152,4692,4437,factor_simp,factor_simp,factor_simp')] ).
cnf(4719,plain,
( ssPv4(A)
| ssPv4(skf2(skf2(A)))
| ssPv2(skf2(A)) ),
inference(hyper,[status(thm)],[4717,92,152,152]),
[iquote('hyper,4717,92,152,152')] ).
cnf(4721,plain,
( ssPv3(A)
| ssPv2(A)
| ssPv4(skf2(skf2(A))) ),
inference(hyper,[status(thm)],[4717,82,152,152]),
[iquote('hyper,4717,82,152,152')] ).
cnf(4737,plain,
( ssPv3(A)
| ssPv2(A)
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4721,23,152,152,4717])]),
[iquote('hyper,4721,23,152,152,4717,factor_simp')] ).
cnf(4743,plain,
( ssPv4(skf2(A))
| ssPv2(skf2(skf2(A))) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4719,101,152,4717,152])])]),
[iquote('hyper,4719,101,152,4717,152,factor_simp,factor_simp')] ).
cnf(4747,plain,
( ssPv2(skf2(skf2(A)))
| ssPv2(skf2(A)) ),
inference(factor_simp,[status(thm)],[inference(factor_simp,[status(thm)],[inference(hyper,[status(thm)],[4743,145,152,4737,4717])])]),
[iquote('hyper,4743,145,152,4737,4717,factor_simp,factor_simp')] ).
cnf(4749,plain,
ssPv2(skf2(A)),
inference(hyper,[status(thm)],[4747,133,152,4717,152,4717,4717]),
[iquote('hyper,4747,133,152,4717,152,4717,4717')] ).
cnf(4750,plain,
$false,
inference(hyper,[status(thm)],[4749,133,152,4717,152,4717,4717]),
[iquote('hyper,4749,133,152,4717,152,4717,4717')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN796-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : otter-tptp-script %s
% 0.13/0.35 % Computer : n022.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Jul 27 11:25:20 EDT 2022
% 0.13/0.35 % CPUTime :
% 1.95/2.14 ----- Otter 3.3f, August 2004 -----
% 1.95/2.14 The process was started by sandbox on n022.cluster.edu,
% 1.95/2.14 Wed Jul 27 11:25:20 2022
% 1.95/2.14 The command was "./otter". The process ID is 29272.
% 1.95/2.14
% 1.95/2.14 set(prolog_style_variables).
% 1.95/2.14 set(auto).
% 1.95/2.14 dependent: set(auto1).
% 1.95/2.14 dependent: set(process_input).
% 1.95/2.14 dependent: clear(print_kept).
% 1.95/2.14 dependent: clear(print_new_demod).
% 1.95/2.14 dependent: clear(print_back_demod).
% 1.95/2.14 dependent: clear(print_back_sub).
% 1.95/2.14 dependent: set(control_memory).
% 1.95/2.14 dependent: assign(max_mem, 12000).
% 1.95/2.14 dependent: assign(pick_given_ratio, 4).
% 1.95/2.14 dependent: assign(stats_level, 1).
% 1.95/2.14 dependent: assign(max_seconds, 10800).
% 1.95/2.14 clear(print_given).
% 1.95/2.14
% 1.95/2.14 list(usable).
% 1.95/2.14 0 [] ssRr(skf3(U),U).
% 1.95/2.14 0 [] ssRr(U,skf2(U)).
% 1.95/2.14 0 [] -ssRr(U,V)|ssPv3(V)|ssPv1(U)|ssPv3(U)|ssPv4(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)|ssPv1(V)|ssPv2(U)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)|ssPv2(U)|ssPv1(V)|ssPv4(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(V)|ssPv2(U)|ssPv1(V)|ssPv3(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(U)| -ssPv1(V)| -ssPv4(V)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)|ssPv4(U)|ssPv2(W)|ssPv1(V)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(W,V)| -ssPv1(V)|ssPv4(U)|ssPv1(W)|ssPv4(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)| -ssRr(W,V)|ssPv3(W)|ssPv3(V)|ssPv4(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(V)| -ssRr(U,W)|ssPv2(W)|ssPv3(U)|ssPv4(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(V,W)|ssPv2(W)|ssPv2(V)|ssPv3(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv3(V)|ssPv4(U)|ssPv2(W)|ssPv1(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv2(V)|ssPv1(U)|ssPv4(W)|ssPv1(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv3(U)| -ssRr(W,V)|ssPv4(W)|ssPv1(V)|ssPv4(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(V)| -ssRr(U,W)|ssPv4(W)|ssPv1(U)|ssPv4(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(V,W)|ssPv2(W)|ssPv1(V)|ssPv3(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv2(V)| -ssPv3(V)|ssPv4(U)|ssPv2(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(U,W)| -ssPv1(U)| -ssPv4(U)|ssPv4(V)|ssPv3(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(W,V)| -ssPv1(V)| -ssPv2(V)|ssPv3(U)|ssPv2(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv3(U)| -ssRr(V,W)| -ssPv4(V)|ssPv2(W)|ssPv3(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv3(V)| -ssRr(U,W)| -ssPv1(U)|ssPv1(W)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv1(W)| -ssPv4(V)|ssPv2(U)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv2(W)| -ssPv3(V)|ssPv2(U)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv4(W)| -ssPv1(V)|ssPv2(U)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)| -ssRr(U,W)| -ssPv1(W)|ssPv2(U)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv4(W)| -ssPv2(V)|ssPv1(U)|ssPv1(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(V)| -ssRr(U,W)| -ssPv2(W)|ssPv1(U)|ssPv2(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv4(W)| -ssPv3(V)| -ssPv4(V)|ssPv4(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(V)| -ssRr(U,W)| -ssPv2(U)| -ssPv3(U)|ssPv4(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv1(W)| -ssPv1(V)| -ssPv3(V)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)| -ssRr(U,W)| -ssPv1(U)| -ssPv3(U)|ssPv1(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv3(V)| -ssRr(U,W)| -ssPv1(U)| -ssPv2(U)|ssPv1(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)| -ssRr(U,W)| -ssPv1(W)| -ssPv1(U)| -ssPv4(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(W,V)| -ssRr(V,X)| -ssPv1(V)|ssPv3(U)|ssPv2(W)|ssPv4(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)| -ssRr(U,W)| -ssRr(U,X)|ssPv4(W)|ssPv2(X)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(W,V)| -ssRr(V,X)|ssPv4(W)|ssPv4(X)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv1(W)| -ssRr(V,X)|ssPv4(U)|ssPv4(X)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(W,V)| -ssRr(V,X)| -ssPv1(X)|ssPv3(U)|ssPv1(W)|ssPv1(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv3(U)| -ssRr(W,V)| -ssRr(V,X)| -ssPv2(X)|ssPv4(W)|ssPv3(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(U)| -ssRr(V,W)| -ssRr(V,X)| -ssPv1(V)|ssPv3(W)|ssPv1(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv1(U)| -ssRr(W,V)| -ssRr(V,X)| -ssPv4(X)|ssPv4(W)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(V)| -ssRr(U,W)| -ssPv1(W)| -ssRr(U,X)| -ssPv3(U)|ssPv1(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(W,V)| -ssRr(V,X)| -ssPv1(X)| -ssPv2(V)|ssPv3(W).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(V,W)| -ssPv3(W)| -ssRr(V,X)| -ssPv2(V)|ssPv1(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)| -ssRr(W,V)| -ssPv3(W)| -ssRr(X,V)| -ssPv1(X)|ssPv2(V).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv3(W)| -ssRr(V,X)| -ssPv1(X)| -ssPv1(V)|ssPv3(U).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)| -ssRr(W,V)| -ssPv2(W)| -ssRr(V,X)| -ssPv4(V)|ssPv3(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)| -ssRr(W,V)| -ssPv1(W)| -ssRr(V,X)| -ssPv1(V)|ssPv2(X).
% 1.95/2.14 0 [] -ssRr(U,V)| -ssPv4(U)| -ssRr(W,V)| -ssPv3(W)| -ssRr(V,X)| -ssPv3(X)|ssPv1(V).
% 1.95/2.17 0 [] -ssRr(U,V)| -ssRr(V,W)| -ssPv3(W)| -ssRr(V,X)| -ssPv1(X)| -ssPv3(V)|ssPv4(U).
% 1.95/2.17 0 [] -ssRr(U,V)| -ssPv2(U)| -ssRr(W,V)| -ssPv1(W)| -ssRr(V,X)| -ssPv1(X)| -ssPv1(V).
% 1.95/2.17 end_of_list.
% 1.95/2.17
% 1.95/2.17 SCAN INPUT: prop=0, horn=0, equality=0, symmetry=0, max_lits=7.
% 1.95/2.17
% 1.95/2.17 This is a non-Horn set without equality. The strategy will
% 1.95/2.17 be ordered hyper_res, unit deletion, and factoring, with
% 1.95/2.17 satellites in sos and with nuclei in usable.
% 1.95/2.17
% 1.95/2.17 dependent: set(hyper_res).
% 1.95/2.17 dependent: set(factor).
% 1.95/2.17 dependent: set(unit_deletion).
% 1.95/2.17
% 1.95/2.17 ------------> process usable:
% 1.95/2.17 ** KEPT (pick-wt=11): 1 [] -ssRr(A,B)|ssPv3(B)|ssPv1(A)|ssPv3(A)|ssPv4(A).
% 1.95/2.17 ** KEPT (pick-wt=11): 2 [] -ssRr(A,B)| -ssPv4(A)|ssPv1(B)|ssPv2(A)|ssPv3(A).
% 1.95/2.17 ** KEPT (pick-wt=11): 3 [] -ssRr(A,B)| -ssPv2(B)|ssPv2(A)|ssPv1(B)|ssPv4(B).
% 1.95/2.17 ** KEPT (pick-wt=11): 4 [] -ssRr(A,B)| -ssPv4(B)|ssPv2(A)|ssPv1(B)|ssPv3(B).
% 1.95/2.17 ** KEPT (pick-wt=11): 5 [] -ssRr(A,B)| -ssPv1(A)| -ssPv1(B)| -ssPv4(B)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 6 [] -ssRr(A,B)| -ssRr(B,C)|ssPv4(A)|ssPv2(C)|ssPv1(B)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 7 [] -ssRr(A,B)| -ssRr(C,B)| -ssPv1(B)|ssPv4(A)|ssPv1(C)|ssPv4(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 8 [] -ssRr(A,B)| -ssPv4(A)| -ssRr(C,B)|ssPv3(C)|ssPv3(B)|ssPv4(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 9 [] -ssRr(A,B)| -ssPv1(B)| -ssRr(A,C)|ssPv2(C)|ssPv3(A)|ssPv4(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 10 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(B,C)|ssPv2(C)|ssPv2(B)|ssPv3(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 11 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv3(B)|ssPv4(A)|ssPv2(C)|ssPv1(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 12 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv2(B)|ssPv1(A)|ssPv4(C)|ssPv1(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 13 [] -ssRr(A,B)| -ssPv3(A)| -ssRr(C,B)|ssPv4(C)|ssPv1(B)|ssPv4(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 14 [] -ssRr(A,B)| -ssPv1(B)| -ssRr(A,C)|ssPv4(C)|ssPv1(A)|ssPv4(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 15 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(B,C)|ssPv2(C)|ssPv1(B)|ssPv3(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 16 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv2(B)| -ssPv3(B)|ssPv4(A)|ssPv2(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 17 [] -ssRr(A,B)| -ssRr(A,C)| -ssPv1(A)| -ssPv4(A)|ssPv4(B)|ssPv3(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 18 [] -ssRr(A,B)| -ssRr(C,B)| -ssPv1(B)| -ssPv2(B)|ssPv3(A)|ssPv2(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 19 [] -ssRr(A,B)| -ssPv3(A)| -ssRr(B,C)| -ssPv4(B)|ssPv2(C)|ssPv3(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 20 [] -ssRr(A,B)| -ssPv3(B)| -ssRr(A,C)| -ssPv1(A)|ssPv1(C)|ssPv3(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 21 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv1(C)| -ssPv4(B)|ssPv2(A)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 22 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv2(C)| -ssPv3(B)|ssPv2(A)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 23 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv4(C)| -ssPv1(B)|ssPv2(A)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 24 [] -ssRr(A,B)| -ssPv2(B)| -ssRr(A,C)| -ssPv1(C)|ssPv2(A)|ssPv3(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 25 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv4(C)| -ssPv2(B)|ssPv1(A)|ssPv1(B).
% 1.95/2.17 ** KEPT (pick-wt=14): 26 [] -ssRr(A,B)| -ssPv4(B)| -ssRr(A,C)| -ssPv2(C)|ssPv1(A)|ssPv2(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 27 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv4(C)| -ssPv3(B)| -ssPv4(B)|ssPv4(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 28 [] -ssRr(A,B)| -ssPv1(B)| -ssRr(A,C)| -ssPv2(A)| -ssPv3(A)|ssPv4(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 29 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv1(C)| -ssPv1(B)| -ssPv3(B)|ssPv3(A).
% 1.95/2.17 ** KEPT (pick-wt=14): 30 [] -ssRr(A,B)| -ssPv2(B)| -ssRr(A,C)| -ssPv1(A)| -ssPv3(A)|ssPv1(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 31 [] -ssRr(A,B)| -ssPv3(B)| -ssRr(A,C)| -ssPv1(A)| -ssPv2(A)|ssPv1(C).
% 1.95/2.17 ** KEPT (pick-wt=14): 32 [] -ssRr(A,B)| -ssPv2(B)| -ssRr(A,C)| -ssPv1(C)| -ssPv1(A)| -ssPv4(A).
% 1.95/2.17 ** KEPT (pick-wt=17): 33 [] -ssRr(A,B)| -ssRr(C,B)| -ssRr(B,D)| -ssPv1(B)|ssPv3(A)|ssPv2(C)|ssPv4(D).
% 1.95/2.17 ** KEPT (pick-wt=17): 34 [] -ssRr(A,B)| -ssPv2(B)| -ssRr(A,C)| -ssRr(A,D)|ssPv4(C)|ssPv2(D)|ssPv3(A).
% 1.95/2.17 ** KEPT (pick-wt=17): 35 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(C,B)| -ssRr(B,D)|ssPv4(C)|ssPv4(D)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=17): 36 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv1(C)| -ssRr(B,D)|ssPv4(A)|ssPv4(D)|ssPv2(B).
% 1.95/2.17 ** KEPT (pick-wt=17): 37 [] -ssRr(A,B)| -ssRr(C,B)| -ssRr(B,D)| -ssPv1(D)|ssPv3(A)|ssPv1(C)|ssPv1(B).
% 1.95/2.17 ** KEPT (pick-wt=17): 38 [] -ssRr(A,B)| -ssPv3(A)| -ssRr(C,B)| -ssRr(B,D)| -ssPv2(D)|ssPv4(C)|ssPv3(B).
% 1.95/2.17 ** KEPT (pick-wt=17): 39 [] -ssRr(A,B)| -ssPv1(A)| -ssRr(B,C)| -ssRr(B,D)| -ssPv1(B)|ssPv3(C)|ssPv1(D).
% 144.92/145.14 ** KEPT (pick-wt=17): 40 [] -ssRr(A,B)| -ssPv1(A)| -ssRr(C,B)| -ssRr(B,D)| -ssPv4(D)|ssPv4(C)|ssPv2(B).
% 144.92/145.14 ** KEPT (pick-wt=17): 41 [] -ssRr(A,B)| -ssPv2(B)| -ssRr(A,C)| -ssPv1(C)| -ssRr(A,D)| -ssPv3(A)|ssPv1(D).
% 144.92/145.14 ** KEPT (pick-wt=17): 42 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(C,B)| -ssRr(B,D)| -ssPv1(D)| -ssPv2(B)|ssPv3(C).
% 144.92/145.14 ** KEPT (pick-wt=17): 43 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(B,C)| -ssPv3(C)| -ssRr(B,D)| -ssPv2(B)|ssPv1(D).
% 144.92/145.14 ** KEPT (pick-wt=17): 44 [] -ssRr(A,B)| -ssPv4(A)| -ssRr(C,B)| -ssPv3(C)| -ssRr(D,B)| -ssPv1(D)|ssPv2(B).
% 144.92/145.14 ** KEPT (pick-wt=17): 45 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv3(C)| -ssRr(B,D)| -ssPv1(D)| -ssPv1(B)|ssPv3(A).
% 144.92/145.14 ** KEPT (pick-wt=17): 46 [] -ssRr(A,B)| -ssPv4(A)| -ssRr(C,B)| -ssPv2(C)| -ssRr(B,D)| -ssPv4(B)|ssPv3(D).
% 144.92/145.14 ** KEPT (pick-wt=17): 47 [] -ssRr(A,B)| -ssPv4(A)| -ssRr(C,B)| -ssPv1(C)| -ssRr(B,D)| -ssPv1(B)|ssPv2(D).
% 144.92/145.14 ** KEPT (pick-wt=17): 48 [] -ssRr(A,B)| -ssPv4(A)| -ssRr(C,B)| -ssPv3(C)| -ssRr(B,D)| -ssPv3(D)|ssPv1(B).
% 144.92/145.14 ** KEPT (pick-wt=17): 49 [] -ssRr(A,B)| -ssRr(B,C)| -ssPv3(C)| -ssRr(B,D)| -ssPv1(D)| -ssPv3(B)|ssPv4(A).
% 144.92/145.14 ** KEPT (pick-wt=17): 50 [] -ssRr(A,B)| -ssPv2(A)| -ssRr(C,B)| -ssPv1(C)| -ssRr(B,D)| -ssPv1(D)| -ssPv1(B).
% 144.92/145.14 90 back subsumes 84.
% 144.92/145.14 134 back subsumes 107.
% 144.92/145.14 134 back subsumes 105.
% 144.92/145.14
% 144.92/145.14 ------------> process sos:
% 144.92/145.14 ** KEPT (pick-wt=4): 151 [] ssRr(skf3(A),A).
% 144.92/145.14 ** KEPT (pick-wt=4): 152 [] ssRr(A,skf2(A)).
% 144.92/145.14
% 144.92/145.14 ======= end of input processing =======
% 144.92/145.14
% 144.92/145.14 =========== start of search ===========
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 23.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 23.
% 144.92/145.14
% 144.92/145.14 sos_size=2345
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 20.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 20.
% 144.92/145.14
% 144.92/145.14 sos_size=1973
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 18.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 18.
% 144.92/145.14
% 144.92/145.14 sos_size=1733
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 17.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 17.
% 144.92/145.14
% 144.92/145.14 sos_size=1444
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 15.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 15.
% 144.92/145.14
% 144.92/145.14 sos_size=823
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 12.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 12.
% 144.92/145.14
% 144.92/145.14 sos_size=444
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 10.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 10.
% 144.92/145.14
% 144.92/145.14 sos_size=169
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 9.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Resetting weight limit to 9.
% 144.92/145.14
% 144.92/145.14 sos_size=66
% 144.92/145.14
% 144.92/145.14 -- HEY sandbox, WE HAVE A PROOF!! --
% 144.92/145.14
% 144.92/145.14 -----> EMPTY CLAUSE at 142.98 sec ----> 4750 [hyper,4749,133,152,4717,152,4717,4717] $F.
% 144.92/145.14
% 144.92/145.14 Length of proof is 82. Level of proof is 37.
% 144.92/145.14
% 144.92/145.14 ---------------- PROOF ----------------
% 144.92/145.14 % SZS status Unsatisfiable
% 144.92/145.14 % SZS output start Refutation
% See solution above
% 144.92/145.14 ------------ end of proof -------------
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Search stopped by max_proofs option.
% 144.92/145.14
% 144.92/145.14
% 144.92/145.14 Search stopped by max_proofs option.
% 144.92/145.14
% 144.92/145.14 ============ end of search ============
% 144.92/145.14
% 144.92/145.14 -------------- statistics -------------
% 144.92/145.14 clauses given 199
% 144.92/145.14 clauses generated 2400815
% 144.92/145.14 clauses kept 4749
% 144.92/145.14 clauses forward subsumed 33700
% 144.92/145.14 clauses back subsumed 4528
% 144.92/145.14 Kbytes malloced 4882
% 144.92/145.14
% 144.92/145.14 ----------- times (seconds) -----------
% 144.92/145.14 user CPU time 142.98 (0 hr, 2 min, 22 sec)
% 144.92/145.14 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 144.92/145.14 wall-clock time 145 (0 hr, 2 min, 25 sec)
% 144.92/145.14
% 144.92/145.14 That finishes the proof of the theorem.
% 144.92/145.14
% 144.92/145.14 Process 29272 finished Wed Jul 27 11:27:45 2022
% 144.92/145.14 Otter interrupted
% 144.92/145.14 PROOF FOUND
%------------------------------------------------------------------------------