TSTP Solution File: HWV018-2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV018-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 0.17s 0.42s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 9 unt; 7 nHn; 20 RR)
% Number of literals : 45 ( 0 equ; 15 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 : 11 ( 11 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('HWV018-2.p',unknown),
[] ).
cnf(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(t_206)),
file('HWV018-2.p',unknown),
[] ).
cnf(3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV018-2.p',unknown),
[] ).
cnf(5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(f_ADD_(t_206,n1))),
file('HWV018-2.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV018-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(u)) ),
file('HWV018-2.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('HWV018-2.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('HWV018-2.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('HWV018-2.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV018-2.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(142,plain,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTfull_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,10]),
[iquote('0:Rew:9.0,10.0')] ).
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(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(258,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)],[162,3]),
[iquote('0:Res:162.3,3.0')] ).
cnf(326,plain,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_),
inference(res,[status(thm),theory(equality)],[142,5]),
[iquote('0:Res:142.1,5.0')] ).
cnf(353,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTfifo__length_)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[226,258]),
[iquote('0:Rew:226.0,258.1,226.0,258.0')] ).
cnf(354,plain,
$false,
inference(mrr,[status(thm)],[353,79,326,1]),
[iquote('0:MRR:353.0,353.1,353.2,79.0,326.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : HWV018-2 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.11 % Command : run_spass %d %s
% 0.10/0.32 % Computer : n025.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 600
% 0.10/0.32 % DateTime : Fri Jun 17 10:06:57 EDT 2022
% 0.10/0.32 % CPUTime :
% 0.17/0.42
% 0.17/0.42 SPASS V 3.9
% 0.17/0.42 SPASS beiseite: Proof found.
% 0.17/0.42 % SZS status Theorem
% 0.17/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 SPASS derived 48 clauses, backtracked 0 clauses, performed 0 splits and kept 144 clauses.
% 0.17/0.42 SPASS allocated 75908 KBytes.
% 0.17/0.42 SPASS spent 0:00:00.09 on the problem.
% 0.17/0.42 0:00:00.04 for the input.
% 0.17/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.42 0:00:00.00 for inferences.
% 0.17/0.42 0:00:00.00 for the backtracking.
% 0.17/0.42 0:00:00.02 for the reduction.
% 0.17/0.42
% 0.17/0.42
% 0.17/0.42 Here is a proof with depth 1, length 20 :
% 0.17/0.42 % SZS output start Refutation
% See solution above
% 0.17/0.42 Formulae used in the proof : quest_1 quest_2 quest_3 quest_5 axiom_5 axiom_6 axiom_7 axiom_23 axiom_51 axiom_75
% 0.17/0.42
%------------------------------------------------------------------------------