%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV032-2 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 19:14:59 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : Refutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 6 unt; 0 nHn; 7 RR)
% Number of literals : 8 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(t_206)),
file('HWV032-2.p',unknown),
[] ).
cnf(2,axiom,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1))),
file('HWV032-2.p',unknown),
[] ).
cnf(3,axiom,
~ p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
file('HWV032-2.p',unknown),
[] ).
cnf(12,axiom,
( ~ p__pred_(fwork_DOTfifo_DOTrtl_DOTreset_(u))
| equal(fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(u,n1)),n0) ),
file('HWV032-2.p',unknown),
[] ).
cnf(195,plain,
equal(fwork_DOTfifo_DOTrtl_DOTrd__level_(f_ADD_(t_206,n1)),n0),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(241,plain,
p_LES_EQU_(fwork_DOTfifo_DOTrtl_DOTfifo__length_,n0),
inference(rew,[status(thm),theory(equality)],[195,2]),
[iquote('0:Rew:195.0,2.0')] ).
cnf(242,plain,
$false,
inference(mrr,[status(thm)],[241,3]),
[iquote('0:MRR:241.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : HWV032-2 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09 % Command : run_spass %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 600
% 0.08/0.28 % DateTime : Fri Jun 17 07:13:00 EDT 2022
% 0.08/0.28 % CPUTime :
% 0.12/0.35
% 0.12/0.35 SPASS V 3.9
% 0.12/0.35 SPASS beiseite: Proof found.
% 0.12/0.35 % SZS status Theorem
% 0.12/0.35 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.35 SPASS derived 23 clauses, backtracked 0 clauses, performed 0 splits and kept 142 clauses.
% 0.12/0.35 SPASS allocated 75854 KBytes.
% 0.12/0.35 SPASS spent 0:00:00.06 on the problem.
% 0.12/0.35 0:00:00.03 for the input.
% 0.12/0.35 0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.35 0:00:00.00 for inferences.
% 0.12/0.35 0:00:00.00 for the backtracking.
% 0.12/0.35 0:00:00.01 for the reduction.
% 0.12/0.35
% 0.12/0.35
% 0.12/0.35 Here is a proof with depth 1, length 7 :
% 0.12/0.35 % SZS output start Refutation
% See solution above
% 0.12/0.35 Formulae used in the proof : quest_1 quest_2 quest_3 axiom_10
% 0.12/0.35
%------------------------------------------------------------------------------