TSTP Solution File: HWV021-2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 19:14:52 EDT 2022
% Result : Unsatisfiable 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 8 unt; 5 nHn; 19 RR)
% Number of literals : 45 ( 0 equ; 22 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(t_206,n1))),
file('HWV021-2.p',unknown),
[] ).
cnf(3,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('HWV021-2.p',unknown),
[] ).
cnf(4,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('HWV021-2.p',unknown),
[] ).
cnf(8,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV021-2.p',unknown),
[] ).
cnf(11,axiom,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u)) ),
file('HWV021-2.p',unknown),
[] ).
cnf(17,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1))) ),
file('HWV021-2.p',unknown),
[] ).
cnf(37,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV021-2.p',unknown),
[] ).
cnf(49,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| 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('HWV021-2.p',unknown),
[] ).
cnf(76,axiom,
( ~ p_LES_EQU_(u,n0)
| equal(u,n0) ),
file('HWV021-2.p',unknown),
[] ).
cnf(139,plain,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u)) ),
inference(rew,[status(thm),theory(equality)],[8,11]),
[iquote('0:Rew:8.0,11.0')] ).
cnf(153,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
inference(rew,[status(thm),theory(equality)],[8,49]),
[iquote('0:Rew:8.0,49.2')] ).
cnf(154,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u)) ),
inference(mrr,[status(thm)],[153,17]),
[iquote('0:MRR:153.4,17.1')] ).
cnf(156,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
inference(rew,[status(thm),theory(equality)],[8,37]),
[iquote('0:Rew:8.0,37.3')] ).
cnf(157,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd__error_(f_ADD_(u,n1)))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0) ),
inference(mrr,[status(thm)],[156,154,17]),
[iquote('0:MRR:156.2,156.4,154.3,17.1')] ).
cnf(225,plain,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(res,[status(thm),theory(equality)],[139,4]),
[iquote('0:Res:139.1,4.0')] ).
cnf(310,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0) ),
inference(res,[status(thm),theory(equality)],[1,157]),
[iquote('0:Res:1.0,157.0')] ).
cnf(319,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(mrr,[status(thm)],[310,3]),
[iquote('0:MRR:310.0,3.0')] ).
cnf(342,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(res,[status(thm),theory(equality)],[319,76]),
[iquote('0:Res:319.0,76.0')] ).
cnf(343,plain,
$false,
inference(mrr,[status(thm)],[342,225]),
[iquote('0:MRR:342.0,225.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV021-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n021.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 08:45:15 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 57 clauses, backtracked 0 clauses, performed 2 splits and kept 158 clauses.
% 0.19/0.44 SPASS allocated 75910 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.44 0:00:00.04 for the input.
% 0.19/0.44 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.02 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 2, length 19 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : quest_1 quest_3 quest_4 axiom_5 axiom_8 axiom_14 axiom_34 axiom_46 axiom_73
% 0.19/0.44
%------------------------------------------------------------------------------