TSTP Solution File: SYN001-1.005 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 12:17:01 EDT 2022
% Result : Unsatisfiable 0.20s 0.41s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 32
% Syntax : Number of clauses : 63 ( 6 unt; 51 nHn; 63 RR)
% Number of literals : 236 ( 0 equ; 80 neg)
% Maximal clause size : 5 ( 3 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 6 ( 5 usr; 6 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( p_1
| p_2
| p_3
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(2,axiom,
( ~ p_5
| p_1
| p_2
| p_3
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(3,axiom,
( ~ p_4
| p_1
| p_2
| p_3
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(4,axiom,
( ~ p_4
| ~ p_5
| p_1
| p_2
| p_3 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(5,axiom,
( ~ p_3
| p_1
| p_2
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(6,axiom,
( ~ p_3
| ~ p_5
| p_1
| p_2
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(7,axiom,
( ~ p_3
| ~ p_4
| p_1
| p_2
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(8,axiom,
( ~ p_3
| ~ p_4
| ~ p_5
| p_1
| p_2 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(9,axiom,
( ~ p_2
| p_1
| p_3
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(10,axiom,
( ~ p_2
| ~ p_5
| p_1
| p_3
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(11,axiom,
( ~ p_2
| ~ p_4
| p_1
| p_3
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(12,axiom,
( ~ p_2
| ~ p_4
| ~ p_5
| p_1
| p_3 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(13,axiom,
( ~ p_2
| ~ p_3
| p_1
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(14,axiom,
( ~ p_2
| ~ p_3
| ~ p_5
| p_1
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(15,axiom,
( ~ p_2
| ~ p_3
| ~ p_4
| p_1
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(16,axiom,
( ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5
| p_1 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(17,axiom,
( ~ p_1
| p_2
| p_3
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(18,axiom,
( ~ p_1
| ~ p_5
| p_2
| p_3
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(19,axiom,
( ~ p_1
| ~ p_4
| p_2
| p_3
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(20,axiom,
( ~ p_1
| ~ p_4
| ~ p_5
| p_2
| p_3 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(21,axiom,
( ~ p_1
| ~ p_3
| p_2
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(22,axiom,
( ~ p_1
| ~ p_3
| ~ p_5
| p_2
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(23,axiom,
( ~ p_1
| ~ p_3
| ~ p_4
| p_2
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(24,axiom,
( ~ p_1
| ~ p_3
| ~ p_4
| ~ p_5
| p_2 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(25,axiom,
( ~ p_1
| ~ p_2
| p_3
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(26,axiom,
( ~ p_1
| ~ p_2
| ~ p_5
| p_3
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(27,axiom,
( ~ p_1
| ~ p_2
| ~ p_4
| p_3
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(28,axiom,
( ~ p_1
| ~ p_2
| ~ p_4
| ~ p_5
| p_3 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(29,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(30,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_5
| p_4 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(31,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(32,axiom,
( ~ p_1
| ~ p_2
| ~ p_3
| ~ p_4
| ~ p_5 ),
file('SYN001-1.005.p',unknown),
[] ).
cnf(33,plain,
( p_2
| p_3
| p_4
| p_5 ),
inference(mrr,[status(thm)],[17,1]),
[iquote('0:MRR:17.0,1.0')] ).
cnf(34,plain,
( p_1
| p_3
| p_4
| p_5 ),
inference(mrr,[status(thm)],[9,33]),
[iquote('0:MRR:9.0,33.0')] ).
cnf(35,plain,
( p_1
| p_2
| p_4
| p_5 ),
inference(mrr,[status(thm)],[5,34]),
[iquote('0:MRR:5.0,34.1')] ).
cnf(36,plain,
( p_1
| p_2
| p_3
| p_5 ),
inference(mrr,[status(thm)],[3,35]),
[iquote('0:MRR:3.0,35.2')] ).
cnf(37,plain,
( p_1
| p_2
| p_3
| p_4 ),
inference(mrr,[status(thm)],[2,36]),
[iquote('0:MRR:2.0,36.3')] ).
cnf(38,plain,
( p_3
| p_4
| p_5 ),
inference(mrr,[status(thm)],[25,34,33]),
[iquote('0:MRR:25.0,25.1,34.0,33.0')] ).
cnf(39,plain,
( p_2
| p_4
| p_5 ),
inference(mrr,[status(thm)],[21,35,38]),
[iquote('0:MRR:21.0,21.1,35.0,38.0')] ).
cnf(40,plain,
( p_2
| p_3
| p_5 ),
inference(mrr,[status(thm)],[19,36,39]),
[iquote('0:MRR:19.0,19.1,36.0,39.1')] ).
cnf(41,plain,
( p_2
| p_3
| p_4 ),
inference(mrr,[status(thm)],[18,37,40]),
[iquote('0:MRR:18.0,18.1,37.0,40.2')] ).
cnf(42,plain,
( p_1
| p_4
| p_5 ),
inference(mrr,[status(thm)],[13,39,38]),
[iquote('0:MRR:13.0,13.1,39.0,38.0')] ).
cnf(43,plain,
( p_1
| p_3
| p_5 ),
inference(mrr,[status(thm)],[11,40,42]),
[iquote('0:MRR:11.0,11.1,40.0,42.1')] ).
cnf(44,plain,
( p_1
| p_3
| p_4 ),
inference(mrr,[status(thm)],[10,41,43]),
[iquote('0:MRR:10.0,10.1,41.0,43.2')] ).
cnf(45,plain,
( p_1
| p_2
| p_5 ),
inference(mrr,[status(thm)],[7,43,42]),
[iquote('0:MRR:7.0,7.1,43.1,42.1')] ).
cnf(46,plain,
( p_1
| p_2
| p_4 ),
inference(mrr,[status(thm)],[6,44,45]),
[iquote('0:MRR:6.0,6.1,44.1,45.2')] ).
cnf(47,plain,
( p_1
| p_2
| p_3 ),
inference(mrr,[status(thm)],[4,46,45]),
[iquote('0:MRR:4.0,4.1,46.2,45.2')] ).
cnf(48,plain,
( p_4
| p_5 ),
inference(mrr,[status(thm)],[29,42,39,38]),
[iquote('0:MRR:29.0,29.1,29.2,42.0,39.0,38.0')] ).
cnf(49,plain,
( p_3
| p_5 ),
inference(mrr,[status(thm)],[27,43,40,48]),
[iquote('0:MRR:27.0,27.1,27.2,43.0,40.0,48.0')] ).
cnf(50,plain,
( p_3
| p_4 ),
inference(mrr,[status(thm)],[26,44,41,49]),
[iquote('0:MRR:26.0,26.1,26.2,44.0,41.0,49.1')] ).
cnf(51,plain,
( p_2
| p_5 ),
inference(mrr,[status(thm)],[23,45,49,48]),
[iquote('0:MRR:23.0,23.1,23.2,45.0,49.0,48.0')] ).
cnf(52,plain,
( p_2
| p_4 ),
inference(mrr,[status(thm)],[22,46,50,51]),
[iquote('0:MRR:22.0,22.1,22.2,46.0,50.0,51.1')] ).
cnf(53,plain,
( p_2
| p_3 ),
inference(mrr,[status(thm)],[20,47,52,51]),
[iquote('0:MRR:20.0,20.1,20.2,47.0,52.1,51.1')] ).
cnf(54,plain,
( p_1
| p_5 ),
inference(mrr,[status(thm)],[15,51,49,48]),
[iquote('0:MRR:15.0,15.1,15.2,51.0,49.0,48.0')] ).
cnf(55,plain,
( p_1
| p_4 ),
inference(mrr,[status(thm)],[14,52,50,54]),
[iquote('0:MRR:14.0,14.1,14.2,52.0,50.0,54.1')] ).
cnf(56,plain,
( p_1
| p_3 ),
inference(mrr,[status(thm)],[12,53,55,54]),
[iquote('0:MRR:12.0,12.1,12.2,53.0,55.1,54.1')] ).
cnf(57,plain,
( p_1
| p_2 ),
inference(mrr,[status(thm)],[8,56,55,54]),
[iquote('0:MRR:8.0,8.1,8.2,56.1,55.1,54.1')] ).
cnf(58,plain,
p_5,
inference(mrr,[status(thm)],[31,54,51,49,48]),
[iquote('0:MRR:31.0,31.1,31.2,31.3,54.0,51.0,49.0,48.0')] ).
cnf(59,plain,
p_4,
inference(mrr,[status(thm)],[30,55,52,50,58]),
[iquote('0:MRR:30.0,30.1,30.2,30.3,55.0,52.0,50.0,58.0')] ).
cnf(60,plain,
p_3,
inference(mrr,[status(thm)],[28,56,53,59,58]),
[iquote('0:MRR:28.0,28.1,28.2,28.3,56.0,53.0,59.0,58.0')] ).
cnf(61,plain,
p_2,
inference(mrr,[status(thm)],[24,57,60,59,58]),
[iquote('0:MRR:24.0,24.1,24.2,24.3,57.0,60.0,59.0,58.0')] ).
cnf(62,plain,
p_1,
inference(mrr,[status(thm)],[16,61,60,59,58]),
[iquote('0:MRR:16.0,16.1,16.2,16.3,61.0,60.0,59.0,58.0')] ).
cnf(63,plain,
$false,
inference(mrr,[status(thm)],[32,62,61,60,59,58]),
[iquote('0:MRR:32.0,32.1,32.2,32.3,32.4,62.0,61.0,60.0,59.0,58.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN001-1.005 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 12 06:31:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.41
% 0.20/0.41 SPASS V 3.9
% 0.20/0.41 SPASS beiseite: Proof found.
% 0.20/0.41 % SZS status Theorem
% 0.20/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.41 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 32 clauses.
% 0.20/0.41 SPASS allocated 63114 KBytes.
% 0.20/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.41 0:00:00.04 for the input.
% 0.20/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.41 0:00:00.00 for inferences.
% 0.20/0.41 0:00:00.00 for the backtracking.
% 0.20/0.41 0:00:00.00 for the reduction.
% 0.20/0.41
% 0.20/0.41
% 0.20/0.41 Here is a proof with depth 0, length 63 :
% 0.20/0.41 % SZS output start Refutation
% See solution above
% 0.20/0.41 Formulae used in the proof : ppppp ppppn pppnp pppnn ppnpp ppnpn ppnnp ppnnn pnppp pnppn pnpnp pnpnn pnnpp pnnpn pnnnp pnnnn npppp npppn nppnp nppnn npnpp npnpn npnnp npnnn nnppp nnppn nnpnp nnpnn nnnpp nnnpn nnnnp nnnnn
% 0.20/0.41
%------------------------------------------------------------------------------