TSTP Solution File: HWV016-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV016-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 : Sat Jul 16 19:14:48 EDT 2022
% Result : Unsatisfiable 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 17
% Syntax : Number of clauses : 54 ( 24 unt; 24 nHn; 54 RR)
% Number of literals : 129 ( 0 equ; 39 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
file('HWV016-2.p',unknown),
[] ).
cnf(2,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV016-2.p',unknown),
[] ).
cnf(3,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('HWV016-2.p',unknown),
[] ).
cnf(4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('HWV016-2.p',unknown),
[] ).
cnf(5,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('HWV016-2.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV016-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0) ),
file('HWV016-2.p',unknown),
[] ).
cnf(22,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n1),fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV016-2.p',unknown),
[] ).
cnf(27,axiom,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV016-2.p',unknown),
[] ).
cnf(35,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV016-2.p',unknown),
[] ).
cnf(40,axiom,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n1),fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV016-2.p',unknown),
[] ).
cnf(55,axiom,
( equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV016-2.p',unknown),
[] ).
cnf(63,axiom,
~ equal(f_ADD_(u,n1),n0),
file('HWV016-2.p',unknown),
[] ).
cnf(73,axiom,
( ~ p_LES_EQU_(u,v)
| equal(u,v)
| p_LES_EQU_(f_ADD_(u,n1),v) ),
file('HWV016-2.p',unknown),
[] ).
cnf(77,axiom,
( ~ p_LES_EQU_(u,n0)
| equal(u,n0) ),
file('HWV016-2.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV016-2.p',unknown),
[] ).
cnf(81,axiom,
equal(f_ADD_(n0,u),u),
file('HWV016-2.p',unknown),
[] ).
cnf(139,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0) ),
inference(rew,[status(thm),theory(equality)],[9,13]),
[iquote('0:Rew:9.0,13.1')] ).
cnf(145,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,55]),
[iquote('0:Rew:9.0,55.0,9.0,55.0')] ).
cnf(161,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,27]),
[iquote('0:Rew:9.0,27.2,9.0,27.2,9.0,27.0')] ).
cnf(162,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u)) ),
inference(mrr,[status(thm)],[161,145]),
[iquote('0:MRR:161.1,145.2')] ).
cnf(165,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,35]),
[iquote('0:Rew:9.0,35.3,9.0,35.2,9.0,35.2')] ).
cnf(170,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(u))
| equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1))) ),
inference(rew,[status(thm),theory(equality)],[9,22]),
[iquote('0:Rew:9.0,22.2,9.0,22.1,9.0,22.1')] ).
cnf(176,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1))) ),
inference(rew,[status(thm),theory(equality)],[9,40]),
[iquote('0:Rew:9.0,40.3,9.0,40.3,9.0,40.0')] ).
cnf(195,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[3,176]),
[iquote('0:Res:3.0,176.2')] ).
cnf(197,plain,
( equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[3,170]),
[iquote('0:Res:3.0,170.0')] ).
cnf(198,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[3,165]),
[iquote('0:Res:3.0,165.1')] ).
cnf(247,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(res,[status(thm),theory(equality)],[162,2]),
[iquote('0:Res:162.3,2.0')] ).
cnf(284,plain,
( equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p_LES_EQU_(f_ADD_(n0,n1),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(res,[status(thm),theory(equality)],[1,73]),
[iquote('0:Res:1.0,73.0')] ).
cnf(323,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0),
inference(res,[status(thm),theory(equality)],[4,139]),
[iquote('0:Res:4.0,139.0')] ).
cnf(330,plain,
( p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(rew,[status(thm),theory(equality)],[81,284]),
[iquote('0:Rew:81.0,284.1')] ).
cnf(332,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[323,247]),
[iquote('0:Rew:323.0,247.1')] ).
cnf(335,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[323,198]),
[iquote('0:Rew:323.0,198.1')] ).
cnf(336,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(mrr,[status(thm)],[335,77,2]),
[iquote('0:MRR:335.2,335.3,77.0,2.0')] ).
cnf(337,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(mrr,[status(thm)],[332,336]),
[iquote('0:MRR:332.2,336.0')] ).
cnf(342,plain,
( equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),n0)
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[323,197]),
[iquote('0:Rew:323.0,197.0')] ).
cnf(343,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(mrr,[status(thm)],[342,63,2]),
[iquote('0:MRR:342.0,342.3,63.0,2.0')] ).
cnf(348,plain,
( ~ p_LES_EQU_(n0,n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(n0,n1)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[81,195,336,323]),
[iquote('0:Rew:81.0,195.2,336.1,195.2,323.0,195.2,336.1,195.0')] ).
cnf(349,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| equal(n0,n1) ),
inference(mrr,[status(thm)],[348,79,2]),
[iquote('0:MRR:348.0,348.3,79.0,2.0')] ).
cnf(402,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(spt,[spt(split,[position(s1)])],[330]),
[iquote('1:Spt:330.1')] ).
cnf(407,plain,
( p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
inference(rew,[status(thm),theory(equality)],[402,343]),
[iquote('1:Rew:402.0,343.1')] ).
cnf(434,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(mrr,[status(thm)],[407,5]),
[iquote('1:MRR:407.1,5.0')] ).
cnf(435,plain,
equal(n0,n1),
inference(mrr,[status(thm)],[349,434]),
[iquote('1:MRR:349.0,434.0')] ).
cnf(480,plain,
equal(f_ADD_(n1,u),u),
inference(rew,[status(thm),theory(equality)],[435,81]),
[iquote('1:Rew:435.0,81.0')] ).
cnf(483,plain,
~ equal(f_ADD_(u,n1),n1),
inference(rew,[status(thm),theory(equality)],[435,63]),
[iquote('1:Rew:435.0,63.0')] ).
cnf(489,plain,
$false,
inference(unc,[status(thm)],[483,480]),
[iquote('1:UnC:483.0,480.0')] ).
cnf(523,plain,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(spt,[spt(split,[position(sa)])],[489,402]),
[iquote('1:Spt:489.0,330.1,402.0')] ).
cnf(524,plain,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(spt,[spt(split,[position(s2)])],[330]),
[iquote('1:Spt:489.0,330.0')] ).
cnf(525,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(mrr,[status(thm)],[337,523]),
[iquote('1:MRR:337.1,523.0')] ).
cnf(526,plain,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
inference(mrr,[status(thm)],[343,525]),
[iquote('1:MRR:343.1,525.0')] ).
cnf(527,plain,
equal(n0,n1),
inference(mrr,[status(thm)],[349,526]),
[iquote('1:MRR:349.0,526.0')] ).
cnf(535,plain,
equal(f_ADD_(n1,u),u),
inference(rew,[status(thm),theory(equality)],[527,81]),
[iquote('1:Rew:527.0,81.0')] ).
cnf(539,plain,
~ equal(f_ADD_(u,n1),n1),
inference(rew,[status(thm),theory(equality)],[527,63]),
[iquote('1:Rew:527.0,63.0')] ).
cnf(553,plain,
$false,
inference(unc,[status(thm)],[539,535]),
[iquote('1:UnC:539.0,535.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : HWV016-2 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n009.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 00:20:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 219 clauses, backtracked 92 clauses, performed 5 splits and kept 387 clauses.
% 0.20/0.50 SPASS allocated 76258 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.00 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.06 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 2, length 54 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_9 axiom_18 axiom_23 axiom_31 axiom_36 axiom_51 axiom_59 axiom_69 axiom_73 axiom_75 axiom_77
% 0.20/0.50
%------------------------------------------------------------------------------