%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------