TSTP Solution File: SYN097-1.002 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 12:18:35 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 6 unt; 1 nHn; 13 RR)
% Number of literals : 22 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 8 ( 7 usr; 8 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
( ~ sym_u_1
| sym_p_1_2 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(27,axiom,
sym_u_1,
file('SYN097-1.002.p',unknown),
[] ).
cnf(30,axiom,
( ~ sym_u_3
| ~ sym_p_1_2
| sym_q_2_2
| sym_q_1_1 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(31,axiom,
( ~ sym_p_1_2
| sym_u_3 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(46,axiom,
( ~ sym_u_11
| ~ sym_q_1_1 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(47,axiom,
( ~ sym_q_1_1
| sym_u_11 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(50,axiom,
( ~ sym_u_13
| ~ sym_q_2_2 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(51,axiom,
( ~ sym_q_2_2
| sym_u_13 ),
file('SYN097-1.002.p',unknown),
[] ).
cnf(54,plain,
sym_p_1_2,
inference(mrr,[status(thm)],[26,27]),
[iquote('0:MRR:26.0,27.0')] ).
cnf(55,plain,
sym_u_3,
inference(mrr,[status(thm)],[31,54]),
[iquote('0:MRR:31.0,54.0')] ).
cnf(63,plain,
~ sym_q_2_2,
inference(mrr,[status(thm)],[50,51]),
[iquote('0:MRR:50.0,51.1')] ).
cnf(65,plain,
~ sym_q_1_1,
inference(mrr,[status(thm)],[46,47]),
[iquote('0:MRR:46.0,47.1')] ).
cnf(68,plain,
$false,
inference(mrr,[status(thm)],[30,55,54,63,65]),
[iquote('0:MRR:30.0,30.1,30.2,30.3,55.0,54.0,63.0,65.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 09:18:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.41
% 0.13/0.41 SPASS V 3.9
% 0.13/0.41 SPASS beiseite: Proof found.
% 0.13/0.41 % SZS status Theorem
% 0.13/0.41 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.41 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.13/0.41 SPASS allocated 63113 KBytes.
% 0.13/0.41 SPASS spent 0:00:00.06 on the problem.
% 0.13/0.41 0:00:00.04 for the input.
% 0.13/0.41 0:00:00.00 for the FLOTTER CNF translation.
% 0.13/0.41 0:00:00.00 for inferences.
% 0.13/0.41 0:00:00.00 for the backtracking.
% 0.13/0.41 0:00:00.00 for the reduction.
% 0.13/0.41
% 0.13/0.41
% 0.13/0.41 Here is a proof with depth 0, length 13 :
% 0.13/0.41 % SZS output start Refutation
% See solution above
% 0.13/0.41 Formulae used in the proof : sym_u_s2_goal_1 sym_u_1_s2_goal_1 sym_u_s2_type11_2 sym_u_3_s2_type11_2 sym_u_t2_2 sym_u_11_t2_2 sym_u_t2_4 sym_u_13_t2_4
% 0.13/0.41
%------------------------------------------------------------------------------