TSTP Solution File: LCL084-2 by Otter---3.3
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Otter---3.3
% Problem : LCL084-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : otter-tptp-script %s
% Computer : n019.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 13:03:30 EDT 2022
% Result : Unsatisfiable 24.81s 25.03s
% Output : Refutation 24.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 4
% Syntax : Number of clauses : 101 ( 100 unt; 0 nHn; 3 RR)
% Number of literals : 103 ( 0 equ; 3 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-1 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 376 ( 163 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ is_a_theorem(implies(A,B))
| ~ is_a_theorem(A)
| is_a_theorem(B) ),
file('LCL084-2.p',unknown),
[] ).
cnf(2,axiom,
~ is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))),
file('LCL084-2.p',unknown),
[] ).
cnf(3,axiom,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))),
file('LCL084-2.p',unknown),
[] ).
cnf(4,axiom,
is_a_theorem(implies(A,A)),
file('LCL084-2.p',unknown),
[] ).
cnf(5,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),implies(B,D)),implies(E,implies(B,D)))),
inference(hyper,[status(thm)],[3,1,3]),
[iquote('hyper,3,1,3')] ).
cnf(6,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(C,A))),
inference(hyper,[status(thm)],[4,1,3]),
[iquote('hyper,4,1,3')] ).
cnf(7,plain,
is_a_theorem(implies(A,implies(B,B))),
inference(hyper,[status(thm)],[6,1,6]),
[iquote('hyper,6,1,6')] ).
cnf(8,plain,
is_a_theorem(implies(implies(implies(A,B),implies(B,C)),implies(D,implies(B,C)))),
inference(hyper,[status(thm)],[6,1,3]),
[iquote('hyper,6,1,3')] ).
cnf(9,plain,
is_a_theorem(implies(implies(implies(A,A),B),implies(C,B))),
inference(hyper,[status(thm)],[7,1,3]),
[iquote('hyper,7,1,3')] ).
cnf(10,plain,
is_a_theorem(implies(A,implies(B,implies(C,C)))),
inference(hyper,[status(thm)],[9,1,9]),
[iquote('hyper,9,1,9')] ).
cnf(11,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),B),implies(D,B)))),
inference(hyper,[status(thm)],[9,1,3]),
[iquote('hyper,9,1,3')] ).
cnf(13,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(implies(D,B),implies(E,B))),implies(F,implies(implies(D,B),implies(E,B))))),
inference(hyper,[status(thm)],[5,1,3]),
[iquote('hyper,5,1,3')] ).
cnf(14,plain,
is_a_theorem(implies(A,implies(B,implies(C,B)))),
inference(hyper,[status(thm)],[5,1,9]),
[iquote('hyper,5,1,9')] ).
cnf(15,plain,
is_a_theorem(implies(implies(implies(A,implies(B,B)),C),implies(D,C))),
inference(hyper,[status(thm)],[10,1,3]),
[iquote('hyper,10,1,3')] ).
cnf(16,plain,
is_a_theorem(implies(A,implies(B,A))),
inference(hyper,[status(thm)],[14,1,14]),
[iquote('hyper,14,1,14')] ).
cnf(17,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),C),implies(D,C))),
inference(hyper,[status(thm)],[14,1,3]),
[iquote('hyper,14,1,3')] ).
cnf(19,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),B),implies(D,B))),
inference(hyper,[status(thm)],[16,1,3]),
[iquote('hyper,16,1,3')] ).
cnf(22,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),implies(D,C)))),
inference(hyper,[status(thm)],[16,1,9]),
[iquote('hyper,16,1,9')] ).
cnf(28,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(E,implies(D,B)))),
inference(hyper,[status(thm)],[8,1,3]),
[iquote('hyper,8,1,3')] ).
cnf(32,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),implies(E,D))),
inference(hyper,[status(thm)],[11,1,3]),
[iquote('hyper,11,1,3')] ).
cnf(38,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(D,C))),implies(E,implies(C,F))),implies(G,implies(E,implies(C,F))))),
inference(hyper,[status(thm)],[13,1,3]),
[iquote('hyper,13,1,3')] ).
cnf(54,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,implies(B,D))),implies(E,implies(C,implies(B,D))))),
inference(hyper,[status(thm)],[19,1,3]),
[iquote('hyper,19,1,3')] ).
cnf(57,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,A),B),implies(C,B)),D),implies(E,D))),
inference(hyper,[status(thm)],[22,1,3]),
[iquote('hyper,22,1,3')] ).
cnf(103,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,implies(C,E))),implies(F,implies(D,implies(C,E))))),
inference(hyper,[status(thm)],[28,1,3]),
[iquote('hyper,28,1,3')] ).
cnf(104,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(B,C),D),C),implies(B,C)))),
inference(hyper,[status(thm)],[28,1,3]),
[iquote('hyper,28,1,3')] ).
cnf(105,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),B),implies(A,B))),
inference(hyper,[status(thm)],[104,1,104]),
[iquote('hyper,104,1,104')] ).
cnf(109,plain,
is_a_theorem(implies(implies(implies(A,B),implies(implies(A,B),C)),implies(D,implies(implies(A,B),C)))),
inference(hyper,[status(thm)],[105,1,3]),
[iquote('hyper,105,1,3')] ).
cnf(137,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(B,C),implies(D,C)),E),implies(C,E)))),
inference(hyper,[status(thm)],[38,1,3]),
[iquote('hyper,38,1,3')] ).
cnf(173,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(C,B)),D),implies(B,D))),
inference(hyper,[status(thm)],[137,1,137]),
[iquote('hyper,137,1,137')] ).
cnf(178,plain,
is_a_theorem(implies(A,implies(B,implies(C,implies(D,B))))),
inference(hyper,[status(thm)],[173,1,57]),
[iquote('hyper,173,1,57')] ).
cnf(182,plain,
is_a_theorem(implies(A,implies(B,implies(C,A)))),
inference(hyper,[status(thm)],[173,1,105]),
[iquote('hyper,173,1,105')] ).
cnf(192,plain,
is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),implies(E,C))),
inference(hyper,[status(thm)],[182,1,3]),
[iquote('hyper,182,1,3')] ).
cnf(218,plain,
is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),implies(E,D))),
inference(hyper,[status(thm)],[178,1,3]),
[iquote('hyper,178,1,3')] ).
cnf(823,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(C,D)),C),C))),
inference(hyper,[status(thm)],[109,1,19]),
[iquote('hyper,109,1,19')] ).
cnf(824,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(C,B)),D),D))),
inference(hyper,[status(thm)],[109,1,17]),
[iquote('hyper,109,1,17')] ).
cnf(825,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(C,C)),D),D))),
inference(hyper,[status(thm)],[109,1,15]),
[iquote('hyper,109,1,15')] ).
cnf(827,plain,
is_a_theorem(implies(A,implies(implies(implies(B,B),C),C))),
inference(hyper,[status(thm)],[109,1,9]),
[iquote('hyper,109,1,9')] ).
cnf(829,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),B),B))),
inference(hyper,[status(thm)],[109,1,6]),
[iquote('hyper,109,1,6')] ).
cnf(831,plain,
is_a_theorem(implies(implies(implies(A,A),B),B)),
inference(hyper,[status(thm)],[827,1,827]),
[iquote('hyper,827,1,827')] ).
cnf(853,plain,
is_a_theorem(implies(A,implies(implies(implies(B,C),D),implies(C,D)))),
inference(hyper,[status(thm)],[103,1,3]),
[iquote('hyper,103,1,3')] ).
cnf(856,plain,
is_a_theorem(implies(implies(implies(A,B),A),A)),
inference(hyper,[status(thm)],[829,1,831]),
[iquote('hyper,829,1,831')] ).
cnf(867,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(C,implies(A,B)))),
inference(hyper,[status(thm)],[856,1,3]),
[iquote('hyper,856,1,3')] ).
cnf(876,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),B),B)),
inference(hyper,[status(thm)],[823,1,856]),
[iquote('hyper,823,1,856')] ).
cnf(887,plain,
is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(D,implies(B,implies(A,C))))),
inference(hyper,[status(thm)],[876,1,3]),
[iquote('hyper,876,1,3')] ).
cnf(888,plain,
is_a_theorem(implies(implies(implies(A,implies(B,A)),C),C)),
inference(hyper,[status(thm)],[824,1,876]),
[iquote('hyper,824,1,876')] ).
cnf(901,plain,
is_a_theorem(implies(implies(implies(A,implies(B,B)),C),C)),
inference(hyper,[status(thm)],[825,1,888]),
[iquote('hyper,825,1,888')] ).
cnf(912,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(B,C))),
inference(hyper,[status(thm)],[853,1,901]),
[iquote('hyper,853,1,901')] ).
cnf(934,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(D,implies(C,A)))),
inference(hyper,[status(thm)],[912,1,3]),
[iquote('hyper,912,1,3')] ).
cnf(937,plain,
is_a_theorem(implies(A,implies(implies(A,B),implies(C,B)))),
inference(hyper,[status(thm)],[912,1,3]),
[iquote('hyper,912,1,3')] ).
cnf(938,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),implies(E,D))),
inference(hyper,[status(thm)],[937,1,937]),
[iquote('hyper,937,1,937')] ).
cnf(947,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),implies(E,A))),
inference(hyper,[status(thm)],[937,1,3]),
[iquote('hyper,937,1,3')] ).
cnf(972,plain,
is_a_theorem(implies(A,implies(implies(B,implies(B,C)),implies(B,C)))),
inference(hyper,[status(thm)],[867,1,867]),
[iquote('hyper,867,1,867')] ).
cnf(989,plain,
is_a_theorem(implies(implies(A,implies(A,B)),implies(A,B))),
inference(hyper,[status(thm)],[972,1,972]),
[iquote('hyper,972,1,972')] ).
cnf(1004,plain,
is_a_theorem(implies(implies(implies(A,implies(B,implies(C,A))),D),D)),
inference(hyper,[status(thm)],[989,1,218]),
[iquote('hyper,989,1,218')] ).
cnf(1005,plain,
is_a_theorem(implies(implies(implies(A,implies(B,implies(C,D))),C),C)),
inference(hyper,[status(thm)],[989,1,192]),
[iquote('hyper,989,1,192')] ).
cnf(1022,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,implies(B,D))),implies(C,implies(B,D)))),
inference(hyper,[status(thm)],[989,1,54]),
[iquote('hyper,989,1,54')] ).
cnf(1024,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),A),implies(C,A)),D),D)),
inference(hyper,[status(thm)],[989,1,32]),
[iquote('hyper,989,1,32')] ).
cnf(1026,plain,
is_a_theorem(implies(implies(implies(A,implies(B,C)),implies(D,B)),implies(D,B))),
inference(hyper,[status(thm)],[989,1,28]),
[iquote('hyper,989,1,28')] ).
cnf(1047,plain,
is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(E,implies(B,implies(C,implies(A,D)))))),
inference(hyper,[status(thm)],[1005,1,3]),
[iquote('hyper,1005,1,3')] ).
cnf(1164,plain,
is_a_theorem(implies(implies(implies(A,B),implies(C,A)),implies(C,A))),
inference(hyper,[status(thm)],[934,1,989]),
[iquote('hyper,934,1,989')] ).
cnf(1518,plain,
is_a_theorem(implies(implies(A,implies(B,implies(A,C))),implies(B,implies(A,C)))),
inference(hyper,[status(thm)],[887,1,989]),
[iquote('hyper,887,1,989')] ).
cnf(1539,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(B,C),A),B))),
inference(hyper,[status(thm)],[1518,1,3]),
[iquote('hyper,1518,1,3')] ).
cnf(1544,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(B,D),B)),implies(A,B))),
inference(hyper,[status(thm)],[1539,1,1024]),
[iquote('hyper,1539,1,1024')] ).
cnf(1546,plain,
is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),C),implies(A,implies(B,C)))),
inference(hyper,[status(thm)],[1539,1,1004]),
[iquote('hyper,1539,1,1004')] ).
cnf(1597,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),implies(C,B)),D),A),implies(implies(A,B),implies(C,B)))),
inference(hyper,[status(thm)],[1539,1,937]),
[iquote('hyper,1539,1,937')] ).
cnf(1605,plain,
is_a_theorem(implies(implies(implies(implies(A,implies(B,C)),D),implies(B,implies(B,C))),implies(A,implies(B,C)))),
inference(hyper,[status(thm)],[1539,1,867]),
[iquote('hyper,1539,1,867')] ).
cnf(1650,plain,
is_a_theorem(implies(implies(implies(implies(A,B),C),implies(implies(D,implies(B,E)),B)),implies(A,B))),
inference(hyper,[status(thm)],[1539,1,19]),
[iquote('hyper,1539,1,19')] ).
cnf(1870,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(A,B),implies(C,B))),D),D)),
inference(hyper,[status(thm)],[938,1,989]),
[iquote('hyper,938,1,989')] ).
cnf(1906,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),C),implies(D,C)),A),A)),
inference(hyper,[status(thm)],[947,1,989]),
[iquote('hyper,947,1,989')] ).
cnf(4522,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,implies(implies(B,C),D)),implies(B,C)),E),C),implies(B,C))),
inference(hyper,[status(thm)],[1650,1,1906]),
[iquote('hyper,1650,1,1906')] ).
cnf(4816,plain,
is_a_theorem(implies(implies(A,implies(B,implies(C,implies(A,D)))),implies(B,implies(C,implies(A,D))))),
inference(hyper,[status(thm)],[1047,1,989]),
[iquote('hyper,1047,1,989')] ).
cnf(5683,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),B),D)),implies(implies(B,C),B)),B)),
inference(hyper,[status(thm)],[4522,1,1544]),
[iquote('hyper,4522,1,1544')] ).
cnf(5763,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(A,C),A),B))),
inference(hyper,[status(thm)],[5683,1,1597]),
[iquote('hyper,5683,1,1597')] ).
cnf(5773,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),implies(D,C)))),
inference(hyper,[status(thm)],[5763,1,1870]),
[iquote('hyper,5763,1,1870')] ).
cnf(5796,plain,
is_a_theorem(implies(A,implies(implies(A,B),B))),
inference(hyper,[status(thm)],[5773,1,1605]),
[iquote('hyper,5773,1,1605')] ).
cnf(5798,plain,
is_a_theorem(implies(A,implies(B,implies(implies(A,C),implies(D,C))))),
inference(hyper,[status(thm)],[5773,1,1546]),
[iquote('hyper,5773,1,1546')] ).
cnf(5804,plain,
is_a_theorem(implies(implies(implies(A,B),A),implies(implies(A,C),C))),
inference(hyper,[status(thm)],[5796,1,5763]),
[iquote('hyper,5796,1,5763')] ).
cnf(5819,plain,
is_a_theorem(implies(implies(implies(implies(implies(A,B),B),C),A),implies(implies(A,B),B))),
inference(hyper,[status(thm)],[5796,1,1539]),
[iquote('hyper,5796,1,1539')] ).
cnf(6139,plain,
is_a_theorem(implies(implies(implies(A,implies(B,implies(implies(A,C),implies(D,C)))),E),E)),
inference(hyper,[status(thm)],[5798,1,5796]),
[iquote('hyper,5798,1,5796')] ).
cnf(6151,plain,
is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),implies(E,D))))),
inference(hyper,[status(thm)],[5798,1,912]),
[iquote('hyper,5798,1,912')] ).
cnf(6192,plain,
is_a_theorem(implies(A,implies(B,implies(implies(A,C),C)))),
inference(hyper,[status(thm)],[5804,1,1546]),
[iquote('hyper,5804,1,1546')] ).
cnf(6202,plain,
is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(D,implies(A,C)))),
inference(hyper,[status(thm)],[5804,1,3]),
[iquote('hyper,5804,1,3')] ).
cnf(6221,plain,
is_a_theorem(implies(A,implies(B,implies(implies(implies(C,A),D),D)))),
inference(hyper,[status(thm)],[6192,1,912]),
[iquote('hyper,6192,1,912')] ).
cnf(6614,plain,
is_a_theorem(implies(implies(implies(implies(A,B),B),implies(A,C)),implies(A,C))),
inference(hyper,[status(thm)],[6202,1,989]),
[iquote('hyper,6202,1,989')] ).
cnf(6655,plain,
is_a_theorem(implies(A,implies(implies(implies(implies(A,B),B),C),implies(D,C)))),
inference(hyper,[status(thm)],[6614,1,6139]),
[iquote('hyper,6614,1,6139')] ).
cnf(6660,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),D))),
inference(hyper,[status(thm)],[6614,1,6221]),
[iquote('hyper,6614,1,6221')] ).
cnf(6663,plain,
is_a_theorem(implies(A,implies(implies(implies(B,implies(implies(A,C),C)),D),implies(E,D)))),
inference(hyper,[status(thm)],[6614,1,6151]),
[iquote('hyper,6614,1,6151')] ).
cnf(6692,plain,
is_a_theorem(implies(implies(implies(implies(A,B),B),C),implies(A,C))),
inference(hyper,[status(thm)],[6655,1,1518]),
[iquote('hyper,6655,1,1518')] ).
cnf(6815,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),D)),B),B)),
inference(hyper,[status(thm)],[6660,1,1164]),
[iquote('hyper,6660,1,1164')] ).
cnf(6816,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,implies(C,D)),E),E)),C),C)),
inference(hyper,[status(thm)],[6660,1,1026]),
[iquote('hyper,6660,1,1026')] ).
cnf(6911,plain,
is_a_theorem(implies(implies(A,implies(implies(implies(A,B),C),C)),implies(implies(implies(A,B),C),C))),
inference(hyper,[status(thm)],[6815,1,5819]),
[iquote('hyper,6815,1,5819')] ).
cnf(7299,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(implies(B,C),D),D)),E),implies(C,E))),
inference(hyper,[status(thm)],[6663,1,1022]),
[iquote('hyper,6663,1,1022')] ).
cnf(7375,plain,
is_a_theorem(implies(implies(A,B),implies(implies(implies(C,implies(A,D)),B),B))),
inference(hyper,[status(thm)],[6816,1,1597]),
[iquote('hyper,6816,1,1597')] ).
cnf(8141,plain,
is_a_theorem(implies(implies(implies(A,B),C),implies(implies(implies(D,A),C),C))),
inference(hyper,[status(thm)],[7299,1,1597]),
[iquote('hyper,7299,1,1597')] ).
cnf(8804,plain,
is_a_theorem(implies(implies(implies(implies(A,B),implies(A,C)),B),B)),
inference(hyper,[status(thm)],[6911,1,7375]),
[iquote('hyper,6911,1,7375')] ).
cnf(8844,plain,
is_a_theorem(implies(implies(implies(A,implies(implies(B,C),implies(B,D))),C),C)),
inference(hyper,[status(thm)],[8804,1,8141]),
[iquote('hyper,8804,1,8141')] ).
cnf(9042,plain,
is_a_theorem(implies(implies(A,implies(B,C)),implies(implies(B,A),implies(B,C)))),
inference(hyper,[status(thm)],[8844,1,1597]),
[iquote('hyper,8844,1,1597')] ).
cnf(9151,plain,
is_a_theorem(implies(implies(A,B),implies(A,implies(implies(B,C),implies(D,C))))),
inference(hyper,[status(thm)],[9042,1,6139]),
[iquote('hyper,9042,1,6139')] ).
cnf(10662,plain,
is_a_theorem(implies(A,implies(implies(A,B),implies(implies(B,C),implies(D,C))))),
inference(hyper,[status(thm)],[9151,1,6692]),
[iquote('hyper,9151,1,6692')] ).
cnf(11056,plain,
is_a_theorem(implies(implies(A,B),implies(implies(B,C),implies(A,C)))),
inference(hyper,[status(thm)],[10662,1,4816]),
[iquote('hyper,10662,1,4816')] ).
cnf(11057,plain,
$false,
inference(binary,[status(thm)],[11056,2]),
[iquote('binary,11056.1,2.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LCL084-2 : TPTP v8.1.0. Bugfixed v1.2.0.
% 0.11/0.13 % Command : otter-tptp-script %s
% 0.13/0.34 % Computer : n019.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 : 300
% 0.13/0.34 % DateTime : Wed Jul 27 09:32:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 24.81/25.03 ----- Otter 3.3f, August 2004 -----
% 24.81/25.03 The process was started by sandbox on n019.cluster.edu,
% 24.81/25.03 Wed Jul 27 09:32:07 2022
% 24.81/25.03 The command was "./otter". The process ID is 14218.
% 24.81/25.03
% 24.81/25.03 set(prolog_style_variables).
% 24.81/25.03 set(auto).
% 24.81/25.03 dependent: set(auto1).
% 24.81/25.03 dependent: set(process_input).
% 24.81/25.03 dependent: clear(print_kept).
% 24.81/25.03 dependent: clear(print_new_demod).
% 24.81/25.03 dependent: clear(print_back_demod).
% 24.81/25.03 dependent: clear(print_back_sub).
% 24.81/25.03 dependent: set(control_memory).
% 24.81/25.03 dependent: assign(max_mem, 12000).
% 24.81/25.03 dependent: assign(pick_given_ratio, 4).
% 24.81/25.03 dependent: assign(stats_level, 1).
% 24.81/25.03 dependent: assign(max_seconds, 10800).
% 24.81/25.03 clear(print_given).
% 24.81/25.03
% 24.81/25.03 list(usable).
% 24.81/25.03 0 [] -is_a_theorem(implies(X,Y))| -is_a_theorem(X)|is_a_theorem(Y).
% 24.81/25.03 0 [] is_a_theorem(implies(implies(implies(X,Y),Z),implies(implies(Z,X),implies(U,X)))).
% 24.81/25.03 0 [] is_a_theorem(implies(X,X)).
% 24.81/25.03 0 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 24.81/25.03 end_of_list.
% 24.81/25.03
% 24.81/25.03 SCAN INPUT: prop=0, horn=1, equality=0, symmetry=0, max_lits=3.
% 24.81/25.03
% 24.81/25.03 This is a Horn set without equality. The strategy will
% 24.81/25.03 be hyperresolution, with satellites in sos and nuclei
% 24.81/25.03 in usable.
% 24.81/25.03
% 24.81/25.03 dependent: set(hyper_res).
% 24.81/25.03 dependent: clear(order_hyper).
% 24.81/25.03
% 24.81/25.03 ------------> process usable:
% 24.81/25.03 ** KEPT (pick-wt=8): 1 [] -is_a_theorem(implies(A,B))| -is_a_theorem(A)|is_a_theorem(B).
% 24.81/25.03 ** KEPT (pick-wt=12): 2 [] -is_a_theorem(implies(implies(a,b),implies(implies(b,c),implies(a,c)))).
% 24.81/25.03
% 24.81/25.03 ------------> process sos:
% 24.81/25.03 ** KEPT (pick-wt=14): 3 [] is_a_theorem(implies(implies(implies(A,B),C),implies(implies(C,A),implies(D,A)))).
% 24.81/25.03 ** KEPT (pick-wt=4): 4 [] is_a_theorem(implies(A,A)).
% 24.81/25.03
% 24.81/25.03 ======= end of input processing =======
% 24.81/25.03
% 24.81/25.03 =========== start of search ===========
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 20.
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 20.
% 24.81/25.03
% 24.81/25.03 sos_size=3918
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 18.
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 18.
% 24.81/25.03
% 24.81/25.03 sos_size=4587
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 16.
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Resetting weight limit to 16.
% 24.81/25.03
% 24.81/25.03 sos_size=7240
% 24.81/25.03
% 24.81/25.03 -- HEY sandbox, WE HAVE A PROOF!! --
% 24.81/25.03
% 24.81/25.03 ----> UNIT CONFLICT at 23.23 sec ----> 11057 [binary,11056.1,2.1] $F.
% 24.81/25.03
% 24.81/25.03 Length of proof is 96. Level of proof is 33.
% 24.81/25.03
% 24.81/25.03 ---------------- PROOF ----------------
% 24.81/25.03 % SZS status Unsatisfiable
% 24.81/25.03 % SZS output start Refutation
% See solution above
% 24.81/25.03 ------------ end of proof -------------
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Search stopped by max_proofs option.
% 24.81/25.03
% 24.81/25.03
% 24.81/25.03 Search stopped by max_proofs option.
% 24.81/25.03
% 24.81/25.03 ============ end of search ============
% 24.81/25.03
% 24.81/25.03 -------------- statistics -------------
% 24.81/25.03 clauses given 3240
% 24.81/25.03 clauses generated 9227692
% 24.81/25.03 clauses kept 11056
% 24.81/25.03 clauses forward subsumed 5593135
% 24.81/25.03 clauses back subsumed 321
% 24.81/25.03 Kbytes malloced 7812
% 24.81/25.03
% 24.81/25.03 ----------- times (seconds) -----------
% 24.81/25.03 user CPU time 23.23 (0 hr, 0 min, 23 sec)
% 24.81/25.03 system CPU time 0.01 (0 hr, 0 min, 0 sec)
% 24.81/25.03 wall-clock time 24 (0 hr, 0 min, 24 sec)
% 24.81/25.03
% 24.81/25.03 That finishes the proof of the theorem.
% 24.81/25.03
% 24.81/25.03 Process 14218 finished Wed Jul 27 09:32:31 2022
% 24.81/25.03 Otter interrupted
% 24.81/25.03 PROOF FOUND
%------------------------------------------------------------------------------