%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN004-1.007 : 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 12:17:08 EDT 2022
% Result : Unsatisfiable 0.20s 0.42s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 15
% Syntax : Number of clauses : 38 ( 15 unt; 0 nHn; 38 RR)
% Number of literals : 73 ( 0 equ; 37 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 15 ( 14 usr; 15 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
| ~ q_1
| p_2 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(2,axiom,
( ~ p_2
| ~ q_2
| p_3 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(3,axiom,
( ~ p_3
| ~ q_3
| p_4 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(4,axiom,
( ~ p_4
| ~ q_4
| p_5 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(5,axiom,
( ~ p_5
| ~ q_5
| p_6 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(6,axiom,
( ~ p_6
| ~ q_6
| p_7 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(7,axiom,
( ~ p_1
| ~ q_1
| q_2 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(8,axiom,
( ~ p_2
| ~ q_2
| q_3 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(9,axiom,
( ~ p_3
| ~ q_3
| q_4 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(10,axiom,
( ~ p_4
| ~ q_4
| q_5 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(11,axiom,
( ~ p_5
| ~ q_5
| q_6 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(12,axiom,
( ~ p_6
| ~ q_6
| q_7 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(13,axiom,
p_1,
file('SYN004-1.007.p',unknown),
[] ).
cnf(14,axiom,
q_1,
file('SYN004-1.007.p',unknown),
[] ).
cnf(15,axiom,
( ~ p_7
| ~ q_7 ),
file('SYN004-1.007.p',unknown),
[] ).
cnf(16,plain,
q_2,
inference(mrr,[status(thm)],[7,13,14]),
[iquote('0:MRR:7.0,7.1,13.0,14.0')] ).
cnf(17,plain,
( ~ p_2
| q_3 ),
inference(mrr,[status(thm)],[8,16]),
[iquote('0:MRR:8.1,16.0')] ).
cnf(18,plain,
( ~ p_2
| p_3 ),
inference(mrr,[status(thm)],[2,16]),
[iquote('0:MRR:2.1,16.0')] ).
cnf(19,plain,
p_2,
inference(mrr,[status(thm)],[1,13,14]),
[iquote('0:MRR:1.0,1.1,13.0,14.0')] ).
cnf(20,plain,
q_3,
inference(mrr,[status(thm)],[17,19]),
[iquote('0:MRR:17.0,19.0')] ).
cnf(21,plain,
p_3,
inference(mrr,[status(thm)],[18,19]),
[iquote('0:MRR:18.0,19.0')] ).
cnf(22,plain,
( ~ p_3
| q_4 ),
inference(mrr,[status(thm)],[9,20]),
[iquote('0:MRR:9.1,20.0')] ).
cnf(23,plain,
( ~ p_3
| p_4 ),
inference(mrr,[status(thm)],[3,20]),
[iquote('0:MRR:3.1,20.0')] ).
cnf(24,plain,
q_4,
inference(mrr,[status(thm)],[22,21]),
[iquote('0:MRR:22.0,21.0')] ).
cnf(25,plain,
( ~ p_4
| q_5 ),
inference(mrr,[status(thm)],[10,24]),
[iquote('0:MRR:10.1,24.0')] ).
cnf(26,plain,
( ~ p_4
| p_5 ),
inference(mrr,[status(thm)],[4,24]),
[iquote('0:MRR:4.1,24.0')] ).
cnf(27,plain,
p_4,
inference(mrr,[status(thm)],[23,21]),
[iquote('0:MRR:23.0,21.0')] ).
cnf(28,plain,
q_5,
inference(mrr,[status(thm)],[25,27]),
[iquote('0:MRR:25.0,27.0')] ).
cnf(29,plain,
( ~ p_5
| q_6 ),
inference(mrr,[status(thm)],[11,28]),
[iquote('0:MRR:11.1,28.0')] ).
cnf(30,plain,
( ~ p_5
| p_6 ),
inference(mrr,[status(thm)],[5,28]),
[iquote('0:MRR:5.1,28.0')] ).
cnf(31,plain,
p_5,
inference(mrr,[status(thm)],[26,27]),
[iquote('0:MRR:26.0,27.0')] ).
cnf(32,plain,
q_6,
inference(mrr,[status(thm)],[29,31]),
[iquote('0:MRR:29.0,31.0')] ).
cnf(33,plain,
( ~ p_6
| q_7 ),
inference(mrr,[status(thm)],[12,32]),
[iquote('0:MRR:12.1,32.0')] ).
cnf(34,plain,
( ~ p_6
| p_7 ),
inference(mrr,[status(thm)],[6,32]),
[iquote('0:MRR:6.1,32.0')] ).
cnf(35,plain,
p_6,
inference(mrr,[status(thm)],[30,31]),
[iquote('0:MRR:30.0,31.0')] ).
cnf(36,plain,
q_7,
inference(mrr,[status(thm)],[33,35]),
[iquote('0:MRR:33.0,35.0')] ).
cnf(37,plain,
~ p_7,
inference(mrr,[status(thm)],[15,36]),
[iquote('0:MRR:15.1,36.0')] ).
cnf(38,plain,
$false,
inference(mrr,[status(thm)],[34,35,37]),
[iquote('0:MRR:34.0,34.1,35.0,37.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN004-1.007 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n022.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 : Tue Jul 12 02:43:10 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.20/0.42
% 0.20/0.42 SPASS V 3.9
% 0.20/0.42 SPASS beiseite: Proof found.
% 0.20/0.42 % SZS status Theorem
% 0.20/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 27 clauses.
% 0.20/0.42 SPASS allocated 63091 KBytes.
% 0.20/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.20/0.42 0:00:00.04 for the input.
% 0.20/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42 0:00:00.00 for inferences.
% 0.20/0.42 0:00:00.00 for the backtracking.
% 0.20/0.42 0:00:00.00 for the reduction.
% 0.20/0.42
% 0.20/0.42
% 0.20/0.42 Here is a proof with depth 0, length 38 :
% 0.20/0.42 % SZS output start Refutation
% See solution above
% 0.20/0.42 Formulae used in the proof : pqp_1 pqp_2 pqp_3 pqp_4 pqp_5 pqp_6 pqq_1 pqq_2 pqq_3 pqq_4 pqq_5 pqq_6 base_1 base_2 base_3
% 0.20/0.42
%------------------------------------------------------------------------------