%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : HWV024-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 19:14:54 EDT 2022
% Result : Unsatisfiable 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 6 unt; 9 nHn; 19 RR)
% Number of literals : 50 ( 0 equ; 20 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_Rd(x_140),
file('HWV024-1.p',unknown),
[] ).
cnf(2,axiom,
~ p_Reset(x_140),
file('HWV024-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p_Data_out(x_139,x_140)
| ~ p_Data_out(x_139,plus(x_140,n1)) ),
file('HWV024-1.p',unknown),
[] ).
cnf(4,axiom,
( p_Data_out(x_139,x_140)
| p_Data_out(x_139,plus(x_140,n1)) ),
file('HWV024-1.p',unknown),
[] ).
cnf(36,axiom,
( ~ p_Reset(u)
| ~ p_Data_out(v,plus(u,n1)) ),
file('HWV024-1.p',unknown),
[] ).
cnf(51,axiom,
( ~ p_Wr(u)
| ~ p_Data_out(v,plus(u,n1))
| p_Reset(u)
| p_Rd(u)
| p_Data_out(v,u) ),
file('HWV024-1.p',unknown),
[] ).
cnf(52,axiom,
( ~ p_Wr(u)
| ~ p_Data_out(v,u)
| p_Reset(u)
| p_Rd(u)
| p_Data_out(v,plus(u,n1)) ),
file('HWV024-1.p',unknown),
[] ).
cnf(87,axiom,
( ~ p_Data_out(u,plus(v,n1))
| p_Reset(v)
| p_Wr(v)
| p_Rd(v)
| p_Data_out(u,v) ),
file('HWV024-1.p',unknown),
[] ).
cnf(88,axiom,
( ~ p_Data_out(u,v)
| p_Reset(v)
| p_Wr(v)
| p_Rd(v)
| p_Data_out(u,plus(v,n1)) ),
file('HWV024-1.p',unknown),
[] ).
cnf(108,plain,
( ~ p_Data_out(u,plus(v,n1))
| p_Wr(v)
| p_Rd(v)
| p_Data_out(u,v) ),
inference(mrr,[status(thm)],[87,36]),
[iquote('0:MRR:87.1,36.0')] ).
cnf(109,plain,
( ~ p_Data_out(u,v)
| p_Rd(v)
| p_Reset(v)
| p_Data_out(u,plus(v,n1)) ),
inference(mrr,[status(thm)],[52,88]),
[iquote('0:MRR:52.0,88.2')] ).
cnf(110,plain,
( ~ p_Data_out(u,plus(v,n1))
| p_Rd(v)
| p_Data_out(u,v) ),
inference(mrr,[status(thm)],[51,108,36]),
[iquote('0:MRR:51.0,51.2,108.1,36.0')] ).
cnf(202,plain,
( ~ p_Data_out(u,x_140)
| p_Rd(x_140)
| p_Data_out(u,plus(x_140,n1)) ),
inference(res,[status(thm),theory(equality)],[109,2]),
[iquote('0:Res:109.1,2.0')] ).
cnf(211,plain,
( ~ p_Data_out(u,plus(x_140,n1))
| p_Data_out(u,x_140) ),
inference(res,[status(thm),theory(equality)],[110,1]),
[iquote('0:Res:110.1,1.0')] ).
cnf(217,plain,
p_Data_out(x_139,x_140),
inference(mrr,[status(thm)],[4,211]),
[iquote('0:MRR:4.1,211.0')] ).
cnf(218,plain,
~ p_Data_out(x_139,plus(x_140,n1)),
inference(mrr,[status(thm)],[3,211]),
[iquote('0:MRR:3.0,211.1')] ).
cnf(220,plain,
( ~ p_Data_out(u,x_140)
| p_Data_out(u,plus(x_140,n1)) ),
inference(mrr,[status(thm)],[202,1]),
[iquote('0:MRR:202.1,1.0')] ).
cnf(300,plain,
~ p_Data_out(x_139,x_140),
inference(res,[status(thm),theory(equality)],[220,218]),
[iquote('0:Res:220.1,218.0')] ).
cnf(301,plain,
$false,
inference(mrr,[status(thm)],[300,217]),
[iquote('0:MRR:300.0,217.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : HWV024-1 : TPTP v8.1.0. Released v2.5.0.
% 0.04/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Fri Jun 17 02:12:37 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.21/0.45
% 0.21/0.45 SPASS V 3.9
% 0.21/0.45 SPASS beiseite: Proof found.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.45 SPASS derived 106 clauses, backtracked 0 clauses, performed 2 splits and kept 169 clauses.
% 0.21/0.45 SPASS allocated 75856 KBytes.
% 0.21/0.45 SPASS spent 0:00:00.08 on the problem.
% 0.21/0.45 0:00:00.04 for the input.
% 0.21/0.45 0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.45 0:00:00.00 for inferences.
% 0.21/0.45 0:00:00.00 for the backtracking.
% 0.21/0.45 0:00:00.02 for the reduction.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Here is a proof with depth 2, length 19 :
% 0.21/0.45 % SZS output start Refutation
% See solution above
% 0.21/0.45 Formulae used in the proof : quest_1 quest_2 quest_3 quest_4 axiom_32 axiom_47 axiom_48 axiom_83 axiom_84
% 0.21/0.45
%------------------------------------------------------------------------------