TSTP Solution File: SYN010-1.005.005 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 : Thu Jul 21 12:17:15 EDT 2022
% Result : Unsatisfiable 0.17s 0.41s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 27
% Syntax : Number of clauses : 48 ( 27 unt; 0 nHn; 48 RR)
% Number of literals : 153 ( 0 equ; 106 neg)
% Maximal clause size : 6 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 27 ( 26 usr; 27 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ p_0,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(2,axiom,
( ~ p_1_1
| ~ p_1_2
| ~ p_1_3
| ~ p_1_4
| ~ p_1_5
| p_0 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(3,axiom,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_1 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(4,axiom,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_2 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(5,axiom,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_3 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(6,axiom,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_4 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(7,axiom,
( ~ p_2_1
| ~ p_2_2
| ~ p_2_3
| ~ p_2_4
| ~ p_2_5
| p_1_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(8,axiom,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_1 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(9,axiom,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_2 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(10,axiom,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_3 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(11,axiom,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_4 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(12,axiom,
( ~ p_3_1
| ~ p_3_2
| ~ p_3_3
| ~ p_3_4
| ~ p_3_5
| p_2_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(13,axiom,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_1 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(14,axiom,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_2 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(15,axiom,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_3 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(16,axiom,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_4 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(17,axiom,
( ~ p_4_1
| ~ p_4_2
| ~ p_4_3
| ~ p_4_4
| ~ p_4_5
| p_3_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(18,axiom,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_1 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(19,axiom,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_2 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(20,axiom,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_3 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(21,axiom,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_4 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(22,axiom,
( ~ p_5_1
| ~ p_5_2
| ~ p_5_3
| ~ p_5_4
| ~ p_5_5
| p_4_5 ),
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(23,axiom,
p_5_1,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(24,axiom,
p_5_2,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(25,axiom,
p_5_3,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(26,axiom,
p_5_4,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(27,axiom,
p_5_5,
file('SYN010-1.005.005.p',unknown),
[] ).
cnf(28,plain,
p_4_5,
inference(mrr,[status(thm)],[22,23,24,25,26,27]),
[iquote('0:MRR:22.0,22.1,22.2,22.3,22.4,23.0,24.0,25.0,26.0,27.0')] ).
cnf(29,plain,
p_4_4,
inference(mrr,[status(thm)],[21,23,24,25,26,27]),
[iquote('0:MRR:21.0,21.1,21.2,21.3,21.4,23.0,24.0,25.0,26.0,27.0')] ).
cnf(30,plain,
p_4_3,
inference(mrr,[status(thm)],[20,23,24,25,26,27]),
[iquote('0:MRR:20.0,20.1,20.2,20.3,20.4,23.0,24.0,25.0,26.0,27.0')] ).
cnf(31,plain,
p_4_2,
inference(mrr,[status(thm)],[19,23,24,25,26,27]),
[iquote('0:MRR:19.0,19.1,19.2,19.3,19.4,23.0,24.0,25.0,26.0,27.0')] ).
cnf(32,plain,
p_4_1,
inference(mrr,[status(thm)],[18,23,24,25,26,27]),
[iquote('0:MRR:18.0,18.1,18.2,18.3,18.4,23.0,24.0,25.0,26.0,27.0')] ).
cnf(33,plain,
p_3_5,
inference(mrr,[status(thm)],[17,32,31,30,29,28]),
[iquote('0:MRR:17.0,17.1,17.2,17.3,17.4,32.0,31.0,30.0,29.0,28.0')] ).
cnf(34,plain,
p_3_4,
inference(mrr,[status(thm)],[16,32,31,30,29,28]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,16.4,32.0,31.0,30.0,29.0,28.0')] ).
cnf(35,plain,
p_3_3,
inference(mrr,[status(thm)],[15,32,31,30,29,28]),
[iquote('0:MRR:15.0,15.1,15.2,15.3,15.4,32.0,31.0,30.0,29.0,28.0')] ).
cnf(36,plain,
p_3_2,
inference(mrr,[status(thm)],[14,32,31,30,29,28]),
[iquote('0:MRR:14.0,14.1,14.2,14.3,14.4,32.0,31.0,30.0,29.0,28.0')] ).
cnf(37,plain,
p_3_1,
inference(mrr,[status(thm)],[13,32,31,30,29,28]),
[iquote('0:MRR:13.0,13.1,13.2,13.3,13.4,32.0,31.0,30.0,29.0,28.0')] ).
cnf(38,plain,
p_2_5,
inference(mrr,[status(thm)],[12,37,36,35,34,33]),
[iquote('0:MRR:12.0,12.1,12.2,12.3,12.4,37.0,36.0,35.0,34.0,33.0')] ).
cnf(39,plain,
p_2_4,
inference(mrr,[status(thm)],[11,37,36,35,34,33]),
[iquote('0:MRR:11.0,11.1,11.2,11.3,11.4,37.0,36.0,35.0,34.0,33.0')] ).
cnf(40,plain,
p_2_3,
inference(mrr,[status(thm)],[10,37,36,35,34,33]),
[iquote('0:MRR:10.0,10.1,10.2,10.3,10.4,37.0,36.0,35.0,34.0,33.0')] ).
cnf(41,plain,
p_2_2,
inference(mrr,[status(thm)],[9,37,36,35,34,33]),
[iquote('0:MRR:9.0,9.1,9.2,9.3,9.4,37.0,36.0,35.0,34.0,33.0')] ).
cnf(42,plain,
p_2_1,
inference(mrr,[status(thm)],[8,37,36,35,34,33]),
[iquote('0:MRR:8.0,8.1,8.2,8.3,8.4,37.0,36.0,35.0,34.0,33.0')] ).
cnf(43,plain,
p_1_5,
inference(mrr,[status(thm)],[7,42,41,40,39,38]),
[iquote('0:MRR:7.0,7.1,7.2,7.3,7.4,42.0,41.0,40.0,39.0,38.0')] ).
cnf(44,plain,
p_1_4,
inference(mrr,[status(thm)],[6,42,41,40,39,38]),
[iquote('0:MRR:6.0,6.1,6.2,6.3,6.4,42.0,41.0,40.0,39.0,38.0')] ).
cnf(45,plain,
p_1_3,
inference(mrr,[status(thm)],[5,42,41,40,39,38]),
[iquote('0:MRR:5.0,5.1,5.2,5.3,5.4,42.0,41.0,40.0,39.0,38.0')] ).
cnf(46,plain,
p_1_2,
inference(mrr,[status(thm)],[4,42,41,40,39,38]),
[iquote('0:MRR:4.0,4.1,4.2,4.3,4.4,42.0,41.0,40.0,39.0,38.0')] ).
cnf(47,plain,
p_1_1,
inference(mrr,[status(thm)],[3,42,41,40,39,38]),
[iquote('0:MRR:3.0,3.1,3.2,3.3,3.4,42.0,41.0,40.0,39.0,38.0')] ).
cnf(48,plain,
$false,
inference(mrr,[status(thm)],[2,47,46,45,44,43,1]),
[iquote('0:MRR:2.0,2.1,2.2,2.3,2.4,2.5,47.0,46.0,45.0,44.0,43.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN010-1.005.005 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n026.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 : Mon Jul 11 16:04:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.17/0.41
% 0.17/0.41 SPASS V 3.9
% 0.17/0.41 SPASS beiseite: Proof found.
% 0.17/0.41 % SZS status Theorem
% 0.17/0.41 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.41 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.17/0.41 SPASS allocated 63113 KBytes.
% 0.17/0.41 SPASS spent 0:00:00.05 on the problem.
% 0.17/0.41 0:00:00.03 for the input.
% 0.17/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.17/0.41 0:00:00.00 for inferences.
% 0.17/0.41 0:00:00.00 for the backtracking.
% 0.17/0.41 0:00:00.00 for the reduction.
% 0.17/0.41
% 0.17/0.41
% 0.17/0.41 Here is a proof with depth 0, length 48 :
% 0.17/0.41 % SZS output start Refutation
% See solution above
% 0.17/0.41 Formulae used in the proof : clause_1 clause_2 clause_3 clause_4 clause_5 clause_6 clause_7 clause_8 clause_9 clause_10 clause_11 clause_12 clause_13 clause_14 clause_15 clause_16 clause_17 clause_18 clause_19 clause_20 clause_21 clause_22 clause_23 clause_24 clause_25 clause_26 clause_27
% 0.17/0.41
%------------------------------------------------------------------------------