TSTP Solution File: SYN728-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 12:23:58 EDT 2022
% Result : Unsatisfiable 0.13s 0.41s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 13 RR)
% Number of literals : 18 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(u,v)
| p(w,w) ),
file('SYN728-1.p',unknown),
[] ).
cnf(2,axiom,
( m(u)
| p(u,sk1(u)) ),
file('SYN728-1.p',unknown),
[] ).
cnf(3,axiom,
( q(f(u,sk1(u)))
| p(u,sk1(u)) ),
file('SYN728-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ q(u)
| ~ m(g(u)) ),
file('SYN728-1.p',unknown),
[] ).
cnf(5,axiom,
( ~ p(sk2,sk2)
| ~ p(g(sk2),u) ),
file('SYN728-1.p',unknown),
[] ).
cnf(6,plain,
~ p(g(sk2),u),
inference(mrr,[status(thm)],[5,1]),
[iquote('0:MRR:5.0,1.1')] ).
cnf(9,plain,
~ p(u,v),
inference(spt,[spt(split,[position(s1)])],[1]),
[iquote('1:Spt:1.0')] ).
cnf(10,plain,
m(u),
inference(mrr,[status(thm)],[2,9]),
[iquote('1:MRR:2.1,9.0')] ).
cnf(11,plain,
q(f(u,sk1(u))),
inference(mrr,[status(thm)],[3,9]),
[iquote('1:MRR:3.1,9.0')] ).
cnf(12,plain,
~ q(u),
inference(mrr,[status(thm)],[4,10]),
[iquote('1:MRR:4.1,10.0')] ).
cnf(13,plain,
$false,
inference(mrr,[status(thm)],[11,12]),
[iquote('1:MRR:11.0,12.0')] ).
cnf(14,plain,
p(u,u),
inference(spt,[spt(split,[position(s2)])],[1]),
[iquote('1:Spt:13.0,1.1')] ).
cnf(15,plain,
$false,
inference(unc,[status(thm)],[6,14]),
[iquote('1:UnC:6.0,14.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SYN728-1 : TPTP v8.1.0. Released v2.5.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.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 04:29:04 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 4 clauses, backtracked 5 clauses, performed 1 splits and kept 14 clauses.
% 0.13/0.41 SPASS allocated 75585 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 1, length 13 :
% 0.13/0.41 % SZS output start Refutation
% See solution above
% 0.13/0.41 Formulae used in the proof : thm69_1 thm69_2 thm69_3 thm69_4 thm69_5
% 0.13/0.41
%------------------------------------------------------------------------------