TSTP Solution File: HWV023-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV023-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 17
% Syntax : Number of clauses : 40 ( 17 unt; 15 nHn; 40 RR)
% Number of literals : 78 ( 0 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),
file('HWV023-2.p',unknown),
[] ).
cnf(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('HWV023-2.p',unknown),
[] ).
cnf(3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV023-2.p',unknown),
[] ).
cnf(4,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('HWV023-2.p',unknown),
[] ).
cnf(5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('HWV023-2.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV023-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u)) ),
file('HWV023-2.p',unknown),
[] ).
cnf(47,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),f_SUB_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n1))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV023-2.p',unknown),
[] ).
cnf(64,axiom,
~ p_LES_EQU_(f_ADD_(u,n1),n0),
file('HWV023-2.p',unknown),
[] ).
cnf(65,axiom,
( ~ p_LES_EQU_(u,f_SUB_(u,n1))
| p_LES_EQU_(u,n0) ),
file('HWV023-2.p',unknown),
[] ).
cnf(70,axiom,
( ~ p_LES_EQU_(f_ADD_(u,n1),f_ADD_(v,n1))
| p_LES_EQU_(u,v) ),
file('HWV023-2.p',unknown),
[] ).
cnf(71,axiom,
( ~ p_LES_EQU_(u,v)
| p_LES_EQU_(f_ADD_(u,n1),f_ADD_(v,n1)) ),
file('HWV023-2.p',unknown),
[] ).
cnf(75,axiom,
( ~ p_LES_EQU_(u,v)
| p_LES_EQU_(u,w)
| p_LES_EQU_(w,v) ),
file('HWV023-2.p',unknown),
[] ).
cnf(77,axiom,
( ~ p_LES_EQU_(u,n0)
| equal(u,n0) ),
file('HWV023-2.p',unknown),
[] ).
cnf(78,axiom,
( equal(u,n0)
| equal(f_ADD_(y_105(u),n1),u) ),
file('HWV023-2.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV023-2.p',unknown),
[] ).
cnf(81,axiom,
equal(f_ADD_(n0,u),u),
file('HWV023-2.p',unknown),
[] ).
cnf(140,plain,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,12]),
[iquote('0:Rew:9.0,12.0')] ).
cnf(173,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1))) ),
inference(rew,[status(thm),theory(equality)],[9,47]),
[iquote('0:Rew:9.0,47.2,9.0,47.1,9.0,47.1')] ).
cnf(197,plain,
( equal(f_SUB_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n1),fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[2,173]),
[iquote('0:Res:2.0,173.0')] ).
cnf(314,plain,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0),
inference(res,[status(thm),theory(equality)],[140,5]),
[iquote('0:Res:140.1,5.0')] ).
cnf(341,plain,
( equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),f_SUB_(n1,n1))
| p_LES_EQU_(n1,n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[1,197]),
[iquote('0:Rew:1.0,197.1,1.0,197.0')] ).
cnf(342,plain,
( p_LES_EQU_(n1,n0)
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),f_SUB_(n1,n1)) ),
inference(mrr,[status(thm)],[341,4,3]),
[iquote('0:MRR:341.2,341.3,4.0,3.0')] ).
cnf(353,plain,
p_LES_EQU_(n1,n0),
inference(spt,[spt(split,[position(s1)])],[342]),
[iquote('1:Spt:342.0')] ).
cnf(366,plain,
~ p_LES_EQU_(n1,n0),
inference(spl,[status(thm),theory(equality)],[81,64]),
[iquote('0:SpL:81.0,64.0')] ).
cnf(367,plain,
$false,
inference(mrr,[status(thm)],[366,353]),
[iquote('1:MRR:366.0,353.0')] ).
cnf(368,plain,
~ p_LES_EQU_(n1,n0),
inference(spt,[spt(split,[position(sa)])],[367,353]),
[iquote('1:Spt:367.0,342.0,353.0')] ).
cnf(369,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),f_SUB_(n1,n1)),
inference(spt,[spt(split,[position(s2)])],[342]),
[iquote('1:Spt:367.0,342.1')] ).
cnf(370,plain,
~ equal(f_SUB_(n1,n1),n0),
inference(rew,[status(thm),theory(equality)],[369,314]),
[iquote('1:Rew:369.0,314.0')] ).
cnf(659,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(737,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(759,plain,
( ~ p_LES_EQU_(n0,y_105(u))
| equal(u,n0)
| p_LES_EQU_(n1,u) ),
inference(spr,[status(thm),theory(equality)],[78,737]),
[iquote('0:SpR:78.1,737.1')] ).
cnf(841,plain,
( ~ p_LES_EQU_(f_ADD_(u,n1),n1)
| p_LES_EQU_(u,n0) ),
inference(spl,[status(thm),theory(equality)],[81,70]),
[iquote('0:SpL:81.0,70.0')] ).
cnf(871,plain,
( p_LES_EQU_(n1,f_ADD_(u,n1))
| p_LES_EQU_(u,n0) ),
inference(res,[status(thm),theory(equality)],[659,841]),
[iquote('0:Res:659.0,841.0')] ).
cnf(885,plain,
( equal(u,n0)
| p_LES_EQU_(n1,u)
| p_LES_EQU_(y_105(u),n0) ),
inference(spr,[status(thm),theory(equality)],[78,871]),
[iquote('0:SpR:78.1,871.0')] ).
cnf(1168,plain,
( equal(u,n0)
| p_LES_EQU_(n1,u)
| equal(y_105(u),n0) ),
inference(res,[status(thm),theory(equality)],[885,77]),
[iquote('0:Res:885.2,77.0')] ).
cnf(1171,plain,
( ~ p_LES_EQU_(n0,n0)
| equal(u,n0)
| p_LES_EQU_(n1,u) ),
inference(rew,[status(thm),theory(equality)],[1168,759]),
[iquote('0:Rew:1168.2,759.0')] ).
cnf(1172,plain,
( equal(u,n0)
| p_LES_EQU_(n1,u) ),
inference(mrr,[status(thm)],[1171,79]),
[iquote('0:MRR:1171.0,79.0')] ).
cnf(1177,plain,
( equal(f_SUB_(n1,n1),n0)
| p_LES_EQU_(n1,n0) ),
inference(res,[status(thm),theory(equality)],[1172,65]),
[iquote('0:Res:1172.1,65.0')] ).
cnf(1179,plain,
$false,
inference(mrr,[status(thm)],[1177,370,366]),
[iquote('1:MRR:1177.0,1177.1,370.0,366.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV023-2 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 03:38:03 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.54
% 0.19/0.54 SPASS V 3.9
% 0.19/0.54 SPASS beiseite: Proof found.
% 0.19/0.54 % SZS status Theorem
% 0.19/0.54 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 SPASS derived 769 clauses, backtracked 12 clauses, performed 4 splits and kept 446 clauses.
% 0.19/0.54 SPASS allocated 76560 KBytes.
% 0.19/0.54 SPASS spent 0:00:00.19 on the problem.
% 0.19/0.54 0:00:00.04 for the input.
% 0.19/0.54 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.54 0:00:00.01 for inferences.
% 0.19/0.54 0:00:00.00 for the backtracking.
% 0.19/0.54 0:00:00.11 for the reduction.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 Here is a proof with depth 4, length 40 :
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_8 axiom_43 axiom_60 axiom_61 axiom_66 axiom_67 axiom_71 axiom_73 axiom_74 axiom_75 axiom_77
% 0.19/0.54
%------------------------------------------------------------------------------