TSTP Solution File: NUM422+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Mon Jul 18 14:26:01 EDT 2022
% Result : Theorem 0.46s 0.66s
% Output : Refutation 0.50s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 16
% Syntax : Number of clauses : 72 ( 6 unt; 0 nHn; 72 RR)
% Number of literals : 237 ( 0 equ; 168 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aInteger0(sz00),
file('NUM422+1.p',unknown),
[] ).
cnf(2,axiom,
aInteger0(sz10),
file('NUM422+1.p',unknown),
[] ).
cnf(3,axiom,
aInteger0(xa),
file('NUM422+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ aInteger0(u)
| aInteger0(smndt0(u)) ),
file('NUM422+1.p',unknown),
[] ).
cnf(5,axiom,
~ equal(sdtasdt0(smndt0(sz10),xa),smndt0(xa)),
file('NUM422+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(u,sz00),u) ),
file('NUM422+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(sz00,u),u) ),
file('NUM422+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ aInteger0(u)
| equal(sdtasdt0(sz10,u),u) ),
file('NUM422+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ aInteger0(u)
| equal(sdtasdt0(sz00,u),sz00) ),
file('NUM422+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(u,smndt0(u)),sz00) ),
file('NUM422+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ aInteger0(u)
| equal(sdtpldt0(smndt0(u),u),sz00) ),
file('NUM422+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| aInteger0(sdtpldt0(v,u)) ),
file('NUM422+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| aInteger0(sdtasdt0(v,u)) ),
file('NUM422+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(v,u),sdtpldt0(u,v)) ),
file('NUM422+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(w)
| equal(sdtpldt0(sdtpldt0(w,v),u),sdtpldt0(w,sdtpldt0(v,u))) ),
file('NUM422+1.p',unknown),
[] ).
cnf(20,axiom,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(w)
| equal(sdtasdt0(sdtpldt0(w,v),u),sdtpldt0(sdtasdt0(w,u),sdtasdt0(v,u))) ),
file('NUM422+1.p',unknown),
[] ).
cnf(113,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(u)
| ~ aInteger0(smndt0(u))
| equal(sdtpldt0(smndt0(u),sdtpldt0(u,v)),sdtpldt0(sz00,v)) ),
inference(spr,[status(thm),theory(equality)],[13,19]),
[iquote('0:SpR:13.1,19.3')] ).
cnf(116,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(u))
| ~ aInteger0(u)
| equal(sdtpldt0(u,sdtpldt0(smndt0(u),v)),sdtpldt0(sz00,v)) ),
inference(spr,[status(thm),theory(equality)],[12,19]),
[iquote('0:SpR:12.1,19.3')] ).
cnf(122,plain,
( ~ aInteger0(u)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),sdtpldt0(sz00,u)) ),
inference(obv,[status(thm),theory(equality)],[116]),
[iquote('0:Obv:116.0')] ).
cnf(123,plain,
( ~ aInteger0(u)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),u) ),
inference(rew,[status(thm),theory(equality)],[7,122]),
[iquote('0:Rew:7.1,122.3')] ).
cnf(124,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(v,sdtpldt0(smndt0(v),u)),u) ),
inference(ssi,[status(thm)],[123,4]),
[iquote('0:SSi:123.1,4.1')] ).
cnf(125,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),sdtpldt0(sz00,u)) ),
inference(obv,[status(thm),theory(equality)],[113]),
[iquote('0:Obv:113.0')] ).
cnf(126,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),u) ),
inference(rew,[status(thm),theory(equality)],[7,125]),
[iquote('0:Rew:7.1,125.3')] ).
cnf(127,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),sdtpldt0(v,u)),u) ),
inference(ssi,[status(thm)],[126,4]),
[iquote('0:SSi:126.2,4.1')] ).
cnf(151,plain,
( ~ aInteger0(smndt0(u))
| ~ aInteger0(smndt0(smndt0(u)))
| ~ aInteger0(u)
| equal(sdtpldt0(u,sz00),smndt0(smndt0(u))) ),
inference(spr,[status(thm),theory(equality)],[12,124]),
[iquote('0:SpR:12.1,124.2')] ).
cnf(152,plain,
( ~ aInteger0(smndt0(u))
| ~ aInteger0(v)
| ~ aInteger0(v)
| ~ aInteger0(u)
| equal(sdtpldt0(u,sdtpldt0(v,smndt0(u))),v) ),
inference(spr,[status(thm),theory(equality)],[16,124]),
[iquote('0:SpR:16.2,124.2')] ).
cnf(156,plain,
( ~ aInteger0(smndt0(u))
| ~ aInteger0(smndt0(smndt0(u)))
| ~ aInteger0(u)
| equal(smndt0(smndt0(u)),u) ),
inference(rew,[status(thm),theory(equality)],[6,151]),
[iquote('0:Rew:6.1,151.3')] ).
cnf(157,plain,
( ~ aInteger0(u)
| equal(smndt0(smndt0(u)),u) ),
inference(ssi,[status(thm)],[156,4]),
[iquote('0:SSi:156.1,156.0,4.1,4.1,4.1')] ).
cnf(158,plain,
( ~ aInteger0(smndt0(u))
| ~ aInteger0(v)
| ~ aInteger0(u)
| equal(sdtpldt0(u,sdtpldt0(v,smndt0(u))),v) ),
inference(obv,[status(thm),theory(equality)],[152]),
[iquote('0:Obv:152.1')] ).
cnf(159,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(v,sdtpldt0(u,smndt0(v))),u) ),
inference(ssi,[status(thm)],[158,4]),
[iquote('0:SSi:158.0,4.1')] ).
cnf(183,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(v)
| ~ aInteger0(u)
| equal(sdtpldt0(smndt0(u),sdtpldt0(v,u)),v) ),
inference(spr,[status(thm),theory(equality)],[16,127]),
[iquote('0:SpR:16.2,127.2')] ).
cnf(194,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),sdtpldt0(u,v)),u) ),
inference(obv,[status(thm),theory(equality)],[183]),
[iquote('0:Obv:183.1')] ).
cnf(204,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(sdtpldt0(u,smndt0(v)))
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(spr,[status(thm),theory(equality)],[159,127]),
[iquote('0:SpR:159.2,127.2')] ).
cnf(225,plain,
( ~ aInteger0(u)
| ~ aInteger0(sdtpldt0(u,smndt0(v)))
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(obv,[status(thm),theory(equality)],[204]),
[iquote('0:Obv:204.1')] ).
cnf(226,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),u),sdtpldt0(u,smndt0(v))) ),
inference(ssi,[status(thm)],[225,14,4]),
[iquote('0:SSi:225.1,14.1,4.2')] ).
cnf(293,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(sdtpldt0(u,v))
| equal(sdtpldt0(smndt0(sdtpldt0(u,v)),u),smndt0(v)) ),
inference(spr,[status(thm),theory(equality)],[194]),
[iquote('0:SpR:194.2,194.2')] ).
cnf(306,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(sdtpldt0(v,u))
| equal(sdtpldt0(smndt0(sdtpldt0(v,u)),u),smndt0(v)) ),
inference(spr,[status(thm),theory(equality)],[127,194]),
[iquote('0:SpR:127.2,194.2')] ).
cnf(307,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(v)
| ~ aInteger0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(spr,[status(thm),theory(equality)],[159,194]),
[iquote('0:SpR:159.2,194.2')] ).
cnf(321,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(smndt0(sdtpldt0(u,smndt0(v))),u),v) ),
inference(obv,[status(thm),theory(equality)],[307]),
[iquote('0:Obv:307.1')] ).
cnf(322,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(sdtpldt0(u,smndt0(v)))
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,smndt0(v)))),v) ),
inference(rew,[status(thm),theory(equality)],[226,321]),
[iquote('0:Rew:226.2,321.3')] ).
cnf(323,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,smndt0(v)))),v) ),
inference(ssi,[status(thm)],[322,14,4]),
[iquote('0:SSi:322.2,14.1,4.2')] ).
cnf(324,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(sdtpldt0(v,u))
| equal(sdtpldt0(u,smndt0(sdtpldt0(v,u))),smndt0(v)) ),
inference(rew,[status(thm),theory(equality)],[226,306]),
[iquote('0:Rew:226.2,306.4')] ).
cnf(325,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(v,u))),smndt0(v)) ),
inference(ssi,[status(thm)],[324,14,4]),
[iquote('0:SSi:324.3,324.2,14.1,4.2')] ).
cnf(331,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(sdtpldt0(u,v))
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,v))),smndt0(v)) ),
inference(rew,[status(thm),theory(equality)],[226,293]),
[iquote('0:Rew:226.2,293.4')] ).
cnf(332,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(u,smndt0(sdtpldt0(u,v))),smndt0(v)) ),
inference(ssi,[status(thm)],[331,14,4]),
[iquote('0:SSi:331.3,331.2,14.1,4.2')] ).
cnf(395,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(u))
| ~ aInteger0(u)
| equal(sdtpldt0(sdtasdt0(u,v),sdtasdt0(smndt0(u),v)),sdtasdt0(sz00,v)) ),
inference(spr,[status(thm),theory(equality)],[12,20]),
[iquote('0:SpR:12.1,20.3')] ).
cnf(409,plain,
( ~ aInteger0(u)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(v)
| equal(sdtpldt0(sdtasdt0(v,u),sdtasdt0(smndt0(v),u)),sdtasdt0(sz00,u)) ),
inference(obv,[status(thm),theory(equality)],[395]),
[iquote('0:Obv:395.0')] ).
cnf(410,plain,
( ~ aInteger0(u)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(v)
| equal(sdtpldt0(sdtasdt0(v,u),sdtasdt0(smndt0(v),u)),sz00) ),
inference(rew,[status(thm),theory(equality)],[11,409]),
[iquote('0:Rew:11.1,409.3')] ).
cnf(411,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(sdtasdt0(v,u),sdtasdt0(smndt0(v),u)),sz00) ),
inference(ssi,[status(thm)],[410,4]),
[iquote('0:SSi:410.1,4.1')] ).
cnf(700,plain,
( ~ aInteger0(sz00)
| ~ aInteger0(u)
| ~ aInteger0(smndt0(sdtpldt0(sz00,smndt0(u))))
| equal(smndt0(sdtpldt0(sz00,smndt0(u))),u) ),
inference(spr,[status(thm),theory(equality)],[323,7]),
[iquote('0:SpR:323.2,7.1')] ).
cnf(701,plain,
( ~ aInteger0(smndt0(u))
| ~ aInteger0(v)
| ~ aInteger0(smndt0(sdtpldt0(smndt0(u),smndt0(v))))
| ~ aInteger0(u)
| equal(smndt0(sdtpldt0(smndt0(u),smndt0(v))),sdtpldt0(u,v)) ),
inference(spr,[status(thm),theory(equality)],[323,124]),
[iquote('0:SpR:323.2,124.2')] ).
cnf(729,plain,
( ~ aInteger0(u)
| equal(smndt0(sdtpldt0(sz00,smndt0(u))),u) ),
inference(ssi,[status(thm)],[700,4,14,1]),
[iquote('0:SSi:700.2,700.0,4.0,14.1,1.0,4.2,1.1')] ).
cnf(748,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(smndt0(sdtpldt0(smndt0(v),smndt0(u))),sdtpldt0(v,u)) ),
inference(ssi,[status(thm)],[701,4,14]),
[iquote('0:SSi:701.2,701.0,4.1,14.1,4.1,4.2,4.1')] ).
cnf(757,plain,
( ~ aInteger0(u)
| ~ aInteger0(sdtpldt0(sz00,smndt0(u)))
| equal(sdtpldt0(sz00,smndt0(u)),smndt0(u)) ),
inference(spr,[status(thm),theory(equality)],[729,157]),
[iquote('0:SpR:729.1,157.1')] ).
cnf(774,plain,
( ~ aInteger0(u)
| equal(sdtpldt0(sz00,smndt0(u)),smndt0(u)) ),
inference(ssi,[status(thm)],[757,14,1,4]),
[iquote('0:SSi:757.1,14.1,1.0,4.2')] ).
cnf(860,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(u)
| ~ aInteger0(smndt0(sdtpldt0(v,u)))
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(v,u))),smndt0(v)),u) ),
inference(spr,[status(thm),theory(equality)],[325,194]),
[iquote('0:SpR:325.2,194.2')] ).
cnf(911,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(sdtpldt0(u,v)))
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(u,v))),smndt0(u)),v) ),
inference(obv,[status(thm),theory(equality)],[860]),
[iquote('0:Obv:860.0')] ).
cnf(912,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(smndt0(sdtpldt0(u,v))),smndt0(u)),v) ),
inference(ssi,[status(thm)],[911,4,14]),
[iquote('0:SSi:911.2,4.2,14.1')] ).
cnf(988,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| ~ aInteger0(smndt0(v))
| ~ aInteger0(sdtpldt0(v,u))
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(v,u))) ),
inference(spr,[status(thm),theory(equality)],[127,332]),
[iquote('0:SpR:127.2,332.2')] ).
cnf(1020,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(smndt0(v),smndt0(u)),smndt0(sdtpldt0(v,u))) ),
inference(ssi,[status(thm)],[988,14,4]),
[iquote('0:SSi:988.3,988.2,14.1,4.2')] ).
cnf(1021,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(smndt0(smndt0(sdtpldt0(v,u))),sdtpldt0(v,u)) ),
inference(rew,[status(thm),theory(equality)],[1020,748]),
[iquote('0:Rew:1020.2,748.2')] ).
cnf(1023,plain,
( ~ aInteger0(u)
| ~ aInteger0(v)
| equal(sdtpldt0(sdtpldt0(u,v),smndt0(u)),v) ),
inference(rew,[status(thm),theory(equality)],[1021,912]),
[iquote('0:Rew:1021.2,912.2')] ).
cnf(1434,plain,
( ~ aInteger0(u)
| ~ aInteger0(u)
| ~ aInteger0(sz10)
| equal(sdtpldt0(u,sdtasdt0(smndt0(sz10),u)),sz00) ),
inference(spr,[status(thm),theory(equality)],[9,411]),
[iquote('0:SpR:9.1,411.2')] ).
cnf(1448,plain,
( ~ aInteger0(u)
| ~ aInteger0(sz10)
| equal(sdtpldt0(u,sdtasdt0(smndt0(sz10),u)),sz00) ),
inference(obv,[status(thm),theory(equality)],[1434]),
[iquote('0:Obv:1434.0')] ).
cnf(1449,plain,
( ~ aInteger0(u)
| equal(sdtpldt0(u,sdtasdt0(smndt0(sz10),u)),sz00) ),
inference(ssi,[status(thm)],[1448,2]),
[iquote('0:SSi:1448.1,2.0')] ).
cnf(1590,plain,
( ~ aInteger0(u)
| ~ aInteger0(u)
| ~ aInteger0(sdtasdt0(smndt0(sz10),u))
| equal(sdtasdt0(smndt0(sz10),u),sdtpldt0(sz00,smndt0(u))) ),
inference(spr,[status(thm),theory(equality)],[1449,1023]),
[iquote('0:SpR:1449.1,1023.2')] ).
cnf(1613,plain,
( ~ aInteger0(u)
| ~ aInteger0(sdtasdt0(smndt0(sz10),u))
| equal(sdtasdt0(smndt0(sz10),u),sdtpldt0(sz00,smndt0(u))) ),
inference(obv,[status(thm),theory(equality)],[1590]),
[iquote('0:Obv:1590.0')] ).
cnf(1614,plain,
( ~ aInteger0(u)
| ~ aInteger0(sdtasdt0(smndt0(sz10),u))
| equal(sdtasdt0(smndt0(sz10),u),smndt0(u)) ),
inference(rew,[status(thm),theory(equality)],[774,1613]),
[iquote('0:Rew:774.1,1613.2')] ).
cnf(1615,plain,
( ~ aInteger0(u)
| equal(sdtasdt0(smndt0(sz10),u),smndt0(u)) ),
inference(ssi,[status(thm)],[1614,15,4,2]),
[iquote('0:SSi:1614.1,15.0,4.1,2.2')] ).
cnf(1775,plain,
( ~ aInteger0(xa)
| ~ equal(smndt0(xa),smndt0(xa)) ),
inference(spl,[status(thm),theory(equality)],[1615,5]),
[iquote('0:SpL:1615.1,5.0')] ).
cnf(1776,plain,
~ aInteger0(xa),
inference(obv,[status(thm),theory(equality)],[1775]),
[iquote('0:Obv:1775.1')] ).
cnf(1777,plain,
$false,
inference(ssi,[status(thm)],[1776,3]),
[iquote('0:SSi:1776.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.14 % Problem : NUM422+1 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.15 % Command : run_spass %d %s
% 0.13/0.36 % Computer : n027.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.37 % WCLimit : 600
% 0.13/0.37 % DateTime : Thu Jul 7 08:14:14 EDT 2022
% 0.21/0.37 % CPUTime :
% 0.46/0.66
% 0.46/0.66 SPASS V 3.9
% 0.46/0.66 SPASS beiseite: Proof found.
% 0.46/0.66 % SZS status Theorem
% 0.46/0.66 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.66 SPASS derived 898 clauses, backtracked 0 clauses, performed 0 splits and kept 203 clauses.
% 0.46/0.66 SPASS allocated 105837 KBytes.
% 0.46/0.66 SPASS spent 0:00:00.28 on the problem.
% 0.46/0.66 0:00:00.04 for the input.
% 0.46/0.66 0:00:00.03 for the FLOTTER CNF translation.
% 0.46/0.66 0:00:00.01 for inferences.
% 0.46/0.66 0:00:00.00 for the backtracking.
% 0.46/0.66 0:00:00.19 for the reduction.
% 0.46/0.66
% 0.46/0.66
% 0.46/0.66 Here is a proof with depth 6, length 72 :
% 0.46/0.66 % SZS output start Refutation
% See solution above
% 0.50/0.70 Formulae used in the proof : mIntZero mIntOne m__446 mIntNeg m__ mAddZero mMulOne mMulZero mAddNeg mIntPlus mIntMult mAddComm mAddAsso mDistrib
% 0.50/0.70
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