TSTP Solution File: SYN098-1.002 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 0.19s 0.42s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 9 unt; 5 nHn; 23 RR)
% Number of literals : 44 ( 0 equ; 24 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 0 ( 0 avg)
% Number of predicates : 14 ( 13 usr; 14 prp; 0-0 aty)
% Number of functors : 0 ( 0 usr; 0 con; --- aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( ~ sym_u_1
| sym_p_0
| sym_q_0 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(35,axiom,
sym_u_1,
file('SYN098-1.002.p',unknown),
[] ).
cnf(38,axiom,
( ~ sym_u_3
| ~ sym_p_0
| sym_q_1
| sym_q_2 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(39,axiom,
( ~ sym_p_0
| sym_u_3 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(46,axiom,
( ~ sym_u_7
| ~ sym_q_0
| sym_q_1
| sym_p_2 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(47,axiom,
( ~ sym_q_0
| sym_u_7 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(50,axiom,
( ~ sym_u_9
| ~ sym_q_1
| sym_q_2
| sym_p_3 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(51,axiom,
( ~ sym_q_1
| sym_u_9 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(60,axiom,
( ~ sym_u_14
| ~ sym_p_2 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(61,axiom,
( ~ sym_p_2
| sym_u_14 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(62,axiom,
( ~ sym_u_15
| ~ sym_p_3 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(63,axiom,
( ~ sym_p_3
| sym_u_15 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(64,axiom,
( ~ sym_u_16
| ~ sym_q_2 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(65,axiom,
( ~ sym_q_2
| sym_u_16 ),
file('SYN098-1.002.p',unknown),
[] ).
cnf(74,plain,
~ sym_q_2,
inference(mrr,[status(thm)],[64,65]),
[iquote('0:MRR:64.0,65.1')] ).
cnf(75,plain,
~ sym_p_3,
inference(mrr,[status(thm)],[62,63]),
[iquote('0:MRR:62.0,63.1')] ).
cnf(76,plain,
~ sym_p_2,
inference(mrr,[status(thm)],[60,61]),
[iquote('0:MRR:60.0,61.1')] ).
cnf(77,plain,
( sym_p_0
| sym_q_0 ),
inference(mrr,[status(thm)],[34,35]),
[iquote('0:MRR:34.0,35.0')] ).
cnf(83,plain,
~ sym_q_1,
inference(mrr,[status(thm)],[50,51,74,75]),
[iquote('0:MRR:50.0,50.2,50.3,51.1,74.0,75.0')] ).
cnf(84,plain,
~ sym_q_0,
inference(mrr,[status(thm)],[46,47,83,76]),
[iquote('0:MRR:46.0,46.2,46.3,47.1,83.0,76.0')] ).
cnf(85,plain,
sym_p_0,
inference(mrr,[status(thm)],[77,84]),
[iquote('0:MRR:77.1,84.0')] ).
cnf(86,plain,
sym_u_3,
inference(mrr,[status(thm)],[39,85]),
[iquote('0:MRR:39.0,85.0')] ).
cnf(89,plain,
$false,
inference(mrr,[status(thm)],[38,86,85,83,74]),
[iquote('0:MRR:38.0,38.1,38.2,38.3,86.0,85.0,83.0,74.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN098-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n004.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 : Mon Jul 11 21:52:37 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.42
% 0.19/0.42 SPASS V 3.9
% 0.19/0.42 SPASS beiseite: Proof found.
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.42 SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 53 clauses.
% 0.19/0.42 SPASS allocated 63129 KBytes.
% 0.19/0.42 SPASS spent 0:00:00.06 on the problem.
% 0.19/0.42 0:00:00.04 for the input.
% 0.19/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.42 0:00:00.00 for inferences.
% 0.19/0.42 0:00:00.00 for the backtracking.
% 0.19/0.42 0:00:00.00 for the reduction.
% 0.19/0.42
% 0.19/0.42
% 0.19/0.42 Here is a proof with depth 0, length 23 :
% 0.19/0.42 % SZS output start Refutation
% See solution above
% 0.19/0.42 Formulae used in the proof : sym_u_s3_goal_1 sym_u_1_s3_goal_1 sym_u_s3_type11_2 sym_u_3_s3_type11_2 sym_u_s3_type12_2 sym_u_7_s3_type12_2 sym_u_s3_type12_4 sym_u_9_s3_type12_4 sym_u_t3_1 sym_u_14_t3_1 sym_u_t3_2 sym_u_15_t3_2 sym_u_t3_3 sym_u_16_t3_3
% 0.19/0.42
%------------------------------------------------------------------------------