TSTP Solution File: HWV018-3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV018-3 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 19:14:50 EDT 2022
% Result : Unsatisfiable 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 15 ( 9 unt; 4 nHn; 15 RR)
% Number of literals : 31 ( 0 equ; 13 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 : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)),
file('HWV018-3.p',unknown),
[] ).
cnf(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
file('HWV018-3.p',unknown),
[] ).
cnf(3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV018-3.p',unknown),
[] ).
cnf(4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('HWV018-3.p',unknown),
[] ).
cnf(5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(t_206,n1))),
file('HWV018-3.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV018-3.p',unknown),
[] ).
cnf(11,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
file('HWV018-3.p',unknown),
[] ).
cnf(29,axiom,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1)))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV018-3.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV018-3.p',unknown),
[] ).
cnf(141,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),fwork_DOTfifo_DOTrtl_DOTfifo__length_) ),
inference(rew,[status(thm),theory(equality)],[9,11]),
[iquote('0:Rew:9.0,11.1')] ).
cnf(153,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| ~ 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))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr__error_(f_ADD_(u,n1))) ),
inference(rew,[status(thm),theory(equality)],[9,29]),
[iquote('0:Rew:9.0,29.0')] ).
cnf(226,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(res,[status(thm),theory(equality)],[2,141]),
[iquote('0:Res:2.0,141.0')] ).
cnf(335,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(res,[status(thm),theory(equality)],[153,5]),
[iquote('0:Res:153.2,5.0')] ).
cnf(357,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[226,335]),
[iquote('0:Rew:226.0,335.0')] ).
cnf(358,plain,
$false,
inference(mrr,[status(thm)],[357,79,4,1,3]),
[iquote('0:MRR:357.0,357.1,357.2,357.3,79.0,4.0,1.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : HWV018-3 : TPTP v8.1.0. Released v2.5.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n029.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 21:14:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 49 clauses, backtracked 0 clauses, performed 0 splits and kept 144 clauses.
% 0.20/0.46 SPASS allocated 75910 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.46 0:00:00.04 for the input.
% 0.20/0.46 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.03 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 1, length 15 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_7 axiom_25 axiom_75
% 0.20/0.46
%------------------------------------------------------------------------------