%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV020-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 19:14:51 EDT 2022
% Result : Unsatisfiable 0.20s 0.45s
% Output : Refutation 0.20s
% 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(2,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)),
file('HWV020-2.p',unknown),
[] ).
cnf(3,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV020-2.p',unknown),
[] ).
cnf(4,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('HWV020-2.p',unknown),
[] ).
cnf(5,axiom,
~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(f_ADD_(t_206,n1))),
file('HWV020-2.p',unknown),
[] ).
cnf(9,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV020-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u)) ),
file('HWV020-2.p',unknown),
[] ).
cnf(13,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0) ),
file('HWV020-2.p',unknown),
[] ).
cnf(51,axiom,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTint__level_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
file('HWV020-2.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('HWV020-2.p',unknown),
[] ).
cnf(79,axiom,
p_LES_EQU_(u,u),
file('HWV020-2.p',unknown),
[] ).
cnf(139,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0) ),
inference(rew,[status(thm),theory(equality)],[9,13]),
[iquote('0:Rew:9.0,13.1')] ).
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(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(166,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTrd_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u)) ),
inference(rew,[status(thm),theory(equality)],[9,51]),
[iquote('0:Rew:9.0,51.2,9.0,51.2,9.0,51.0')] ).
cnf(167,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(u,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(u)) ),
inference(mrr,[status(thm)],[166,145]),
[iquote('0:MRR:166.1,145.1')] ).
cnf(195,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(res,[status(thm),theory(equality)],[4,139]),
[iquote('0:Res:4.0,139.0')] ).
cnf(254,plain,
( ~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0)
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),fwork_DOTfifo_DOTrtl_DOTlevel_(t_206))
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(res,[status(thm),theory(equality)],[167,3]),
[iquote('0:Res:167.3,3.0')] ).
cnf(323,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(352,plain,
( ~ p_LES_EQU_(n0,n0)
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(f_ADD_(t_206,n1)),n0)
| p__pred_(fwork_DOTfifo_DOTrtl_DOTwr_(t_206)) ),
inference(rew,[status(thm),theory(equality)],[195,254]),
[iquote('0:Rew:195.0,254.1,195.0,254.0')] ).
cnf(353,plain,
$false,
inference(mrr,[status(thm)],[352,79,323,2]),
[iquote('0:MRR:352.0,352.1,352.2,79.0,323.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : HWV020-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 03:59:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 45 clauses, backtracked 0 clauses, performed 0 splits and kept 145 clauses.
% 0.20/0.45 SPASS allocated 75905 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.45 0:00:00.04 for the input.
% 0.20/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.02 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 1, length 20 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : quest_2 quest_3 quest_4 quest_5 axiom_5 axiom_8 axiom_9 axiom_47 axiom_51 axiom_75
% 0.20/0.45
%------------------------------------------------------------------------------