%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 19:14:44 EDT 2022
% Result : Unsatisfiable 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
file('HWV010-2.p',unknown),
[] ).
cnf(2,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(t_206)),
file('HWV010-2.p',unknown),
[] ).
cnf(6,axiom,
equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),fwork_DOTfifo_DOTrtl_DOTlevel_(u)),
file('HWV010-2.p',unknown),
[] ).
cnf(10,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTint__level_(u),n0) ),
file('HWV010-2.p',unknown),
[] ).
cnf(136,plain,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTempty_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTlevel_(u),n0) ),
inference(rew,[status(thm),theory(equality)],[6,10]),
[iquote('0:Rew:6.0,10.1')] ).
cnf(192,plain,
equal(fwork_DOTfifo_DOTrtl_DOTlevel_(t_206),n0),
inference(res,[status(thm),theory(equality)],[2,136]),
[iquote('0:Res:2.0,136.0')] ).
cnf(225,plain,
$false,
inference(mrr,[status(thm)],[192,1]),
[iquote('0:MRR:192.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : HWV010-2 : TPTP v8.1.0. Released v2.5.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n003.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 04:23:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 135 clauses.
% 0.19/0.43 SPASS allocated 75836 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.02 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 1, length 7 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : quest_1 quest_2 axiom_5 axiom_9
% 0.19/0.43
%------------------------------------------------------------------------------