%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV022-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 19:14:53 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 19
% Syntax : Number of clauses : 53 ( 25 unt; 15 nHn; 53 RR)
% Number of literals : 107 ( 0 equ; 38 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(f_ADD_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('HWV022-2.p',unknown),
[] ).
cnf(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('HWV022-2.p',unknown),
[] ).
cnf(3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV022-2.p',unknown),
[] ).
cnf(4,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('HWV022-2.p',unknown),
[] ).
cnf(5,axiom,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
file('HWV022-2.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV022-2.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('HWV022-2.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('HWV022-2.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('HWV022-2.p',unknown),
[] ).
cnf(64,axiom,
~ p_LES_EQU_(f_ADD_(u,n1),n0),
file('HWV022-2.p',unknown),
[] ).
cnf(65,axiom,
( ~ p_LES_EQU_(u,f_SUB_(u,n1))
| p_LES_EQU_(u,n0) ),
file('HWV022-2.p',unknown),
[] ).
cnf(67,axiom,
( ~ equal(f_ADD_(u,v),w)
| def_89(v,w)
| equal(f_SUB_(w,v),u) ),
file('HWV022-2.p',unknown),
[] ).
cnf(68,axiom,
( ~ def_89(u,v)
| ~ equal(v,u) ),
file('HWV022-2.p',unknown),
[] ).
cnf(69,axiom,
( ~ def_89(u,v)
| p_LES_EQU_(v,u) ),
file('HWV022-2.p',unknown),
[] ).
cnf(71,axiom,
( ~ p_LES_EQU_(u,v)
| p_LES_EQU_(f_ADD_(u,n1),f_ADD_(v,n1)) ),
file('HWV022-2.p',unknown),
[] ).
cnf(74,axiom,
( ~ p_LES_EQU_(u,v)
| ~ p_LES_EQU_(v,u)
| equal(v,u) ),
file('HWV022-2.p',unknown),
[] ).
cnf(75,axiom,
( ~ p_LES_EQU_(u,v)
| p_LES_EQU_(u,w)
| p_LES_EQU_(w,v) ),
file('HWV022-2.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV022-2.p',unknown),
[] ).
cnf(81,axiom,
equal(f_ADD_(n0,u),u),
file('HWV022-2.p',unknown),
[] ).
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(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(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)],[2,170]),
[iquote('0:Res:2.0,170.0')] ).
cnf(228,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_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[162,4]),
[iquote('0:Res:162.2,4.0')] ).
cnf(306,plain,
( def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(res,[status(thm),theory(equality)],[1,67]),
[iquote('0:Res:1.0,67.0')] ).
cnf(311,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1))) ),
inference(res,[status(thm),theory(equality)],[74,5]),
[iquote('0:Res:74.2,5.0')] ).
cnf(323,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)) ),
inference(mrr,[status(thm)],[228,3]),
[iquote('0:MRR:228.2,3.0')] ).
cnf(326,plain,
( equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| 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)],[1,197]),
[iquote('0:Rew:1.0,197.0')] ).
cnf(327,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(mrr,[status(thm)],[326,5,4,3]),
[iquote('0:MRR:326.0,326.2,326.3,5.0,4.0,3.0')] ).
cnf(329,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(mrr,[status(thm)],[323,327]),
[iquote('0:MRR:323.0,327.0')] ).
cnf(332,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1))) ),
inference(rew,[status(thm),theory(equality)],[329,311]),
[iquote('0:Rew:329.0,311.0')] ).
cnf(334,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[329,332]),
[iquote('0:Rew:329.0,332.1')] ).
cnf(335,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(mrr,[status(thm)],[334,327]),
[iquote('0:MRR:334.1,327.0')] ).
cnf(340,plain,
equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(spt,[spt(split,[position(s1)])],[306]),
[iquote('1:Spt:306.1')] ).
cnf(360,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(spl,[status(thm),theory(equality)],[1,64]),
[iquote('0:SpL:1.0,64.0')] ).
cnf(434,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0) ),
inference(spl,[status(thm),theory(equality)],[340,65]),
[iquote('1:SpL:340.0,65.0')] ).
cnf(436,plain,
$false,
inference(mrr,[status(thm)],[434,327,360]),
[iquote('1:MRR:434.0,434.1,327.0,360.0')] ).
cnf(437,plain,
~ equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(spt,[spt(split,[position(sa)])],[436,340]),
[iquote('1:Spt:436.0,306.1,340.0')] ).
cnf(438,plain,
def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(spt,[spt(split,[position(s2)])],[306]),
[iquote('1:Spt:436.0,306.0')] ).
cnf(439,plain,
~ equal(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),
inference(res,[status(thm),theory(equality)],[438,68]),
[iquote('1:Res:438.0,68.0')] ).
cnf(663,plain,
( p_LES_EQU_(u,v)
| p_LES_EQU_(v,u) ),
inference(res,[status(thm),theory(equality)],[79,75]),
[iquote('0:Res:79.0,75.0')] ).
cnf(670,plain,
p_LES_EQU_(n0,f_ADD_(u,n1)),
inference(res,[status(thm),theory(equality)],[663,64]),
[iquote('0:Res:663.0,64.0')] ).
cnf(686,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(spr,[status(thm),theory(equality)],[1,670]),
[iquote('0:SpR:1.0,670.0')] ).
cnf(694,plain,
( p_LES_EQU_(n0,u)
| p_LES_EQU_(u,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(res,[status(thm),theory(equality)],[686,75]),
[iquote('0:Res:686.0,75.0')] ).
cnf(734,plain,
( ~ p_LES_EQU_(n0,u)
| p_LES_EQU_(n1,f_ADD_(u,n1)) ),
inference(spr,[status(thm),theory(equality)],[81,71]),
[iquote('0:SpR:81.0,71.1')] ).
cnf(739,plain,
p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206)),
inference(res,[status(thm),theory(equality)],[694,335]),
[iquote('0:Res:694.1,335.0')] ).
cnf(826,plain,
( ~ p_LES_EQU_(n0,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(spr,[status(thm),theory(equality)],[1,734]),
[iquote('0:SpR:1.0,734.1')] ).
cnf(834,plain,
p_LES_EQU_(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(mrr,[status(thm)],[826,739]),
[iquote('0:MRR:826.0,739.0')] ).
cnf(894,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1)
| equal(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1) ),
inference(res,[status(thm),theory(equality)],[834,74]),
[iquote('0:Res:834.0,74.0')] ).
cnf(897,plain,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n1),
inference(mrr,[status(thm)],[894,439]),
[iquote('1:MRR:894.1,439.0')] ).
cnf(902,plain,
~ def_89(n1,fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(res,[status(thm),theory(equality)],[69,897]),
[iquote('1:Res:69.1,897.0')] ).
cnf(903,plain,
$false,
inference(mrr,[status(thm)],[902,438]),
[iquote('1:MRR:902.0,438.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : HWV022-2 : TPTP v8.1.0. Released v2.5.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n028.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Fri Jun 17 07:17:42 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.54
% 0.21/0.54 SPASS V 3.9
% 0.21/0.54 SPASS beiseite: Proof found.
% 0.21/0.54 % SZS status Theorem
% 0.21/0.54 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.54 SPASS derived 570 clauses, backtracked 11 clauses, performed 1 splits and kept 416 clauses.
% 0.21/0.54 SPASS allocated 76396 KBytes.
% 0.21/0.54 SPASS spent 0:00:00.17 on the problem.
% 0.21/0.54 0:00:00.04 for the input.
% 0.21/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.54 0:00:00.01 for inferences.
% 0.21/0.54 0:00:00.00 for the backtracking.
% 0.21/0.54 0:00:00.08 for the reduction.
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 Here is a proof with depth 5, length 53 :
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_18 axiom_23 axiom_51 axiom_60 axiom_61 axiom_63 axiom_64 axiom_65 axiom_67 axiom_70 axiom_71 axiom_75 axiom_77
% 0.21/0.54
%------------------------------------------------------------------------------