TSTP Solution File: SYN093-1.002 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 12:18:33 EDT 2022
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 13 ( 6 unt; 3 nHn; 13 RR)
% Number of literals : 22 ( 0 equ; 9 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(1,axiom,
~ u_1,
file('SYN093-1.002.p',unknown),
[] ).
cnf(4,axiom,
( ~ q_2_2
| ~ q_1_1
| u_3
| p_1_2 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(5,axiom,
( ~ u_3
| p_1_2 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(20,axiom,
( u_11
| q_1_1 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(21,axiom,
( ~ u_11
| q_1_1 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(24,axiom,
( u_13
| q_2_2 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(25,axiom,
( ~ u_13
| q_2_2 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(26,axiom,
( ~ p_1_2
| u_1 ),
file('SYN093-1.002.p',unknown),
[] ).
cnf(27,plain,
~ p_1_2,
inference(mrr,[status(thm)],[26,1]),
[iquote('0:MRR:26.1,1.0')] ).
cnf(28,plain,
q_2_2,
inference(mrr,[status(thm)],[25,24]),
[iquote('0:MRR:25.0,24.0')] ).
cnf(30,plain,
q_1_1,
inference(mrr,[status(thm)],[21,20]),
[iquote('0:MRR:21.0,20.0')] ).
cnf(32,plain,
~ u_3,
inference(mrr,[status(thm)],[5,27]),
[iquote('0:MRR:5.1,27.0')] ).
cnf(35,plain,
$false,
inference(mrr,[status(thm)],[4,28,30,32,27]),
[iquote('0:MRR:4.0,4.1,4.2,4.3,28.0,30.0,32.0,27.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SYN093-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.35 % Computer : n026.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Mon Jul 11 14:34:42 EDT 2022
% 0.15/0.35 % CPUTime :
% 0.22/0.42
% 0.22/0.42 SPASS V 3.9
% 0.22/0.42 SPASS beiseite: Proof found.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 SPASS derived 0 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses.
% 0.22/0.42 SPASS allocated 63090 KBytes.
% 0.22/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.22/0.42 0:00:00.03 for the input.
% 0.22/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.42 0:00:00.00 for inferences.
% 0.22/0.42 0:00:00.00 for the backtracking.
% 0.22/0.42 0:00:00.00 for the reduction.
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 Here is a proof with depth 0, length 13 :
% 0.22/0.42 % SZS output start Refutation
% See solution above
% 0.22/0.42 Formulae used in the proof : u_1_s2_goal_1 u_s2_type11_2 u_3_s2_type11_2 u_t2_2 u_11_t2_2 u_t2_4 u_13_t2_4 u_s2_goal_1
% 0.22/0.42
%------------------------------------------------------------------------------