TSTP Solution File: SYN729-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 12:23:59 EDT 2022
% Result : Unsatisfiable 0.19s 0.40s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 8 ( 2 unt; 0 nHn; 8 RR)
% Number of literals : 14 ( 0 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ p(u)
| l(u,g(h(sk1(u)))) ),
file('SYN729-1.p',unknown),
[] ).
cnf(2,axiom,
( ~ p(u)
| p(sk1(u)) ),
file('SYN729-1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p(u)
| p(g(u)) ),
file('SYN729-1.p',unknown),
[] ).
cnf(4,axiom,
( ~ p(u)
| p(h(u)) ),
file('SYN729-1.p',unknown),
[] ).
cnf(5,axiom,
p(sk2),
file('SYN729-1.p',unknown),
[] ).
cnf(6,axiom,
( ~ p(u)
| ~ l(sk2,u) ),
file('SYN729-1.p',unknown),
[] ).
cnf(11,plain,
( ~ p(sk2)
| ~ p(g(h(sk1(sk2)))) ),
inference(res,[status(thm),theory(equality)],[1,6]),
[iquote('0:Res:1.1,6.1')] ).
cnf(12,plain,
$false,
inference(ssi,[status(thm)],[11,3,4,2,5]),
[iquote('0:SSi:11.1,11.0,3.0,4.0,2.1,5.1,5.1')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : SYN729-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jul 12 04:53:59 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.40
% 0.19/0.40 SPASS V 3.9
% 0.19/0.40 SPASS beiseite: Proof found.
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40 SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 7 clauses.
% 0.19/0.40 SPASS allocated 75586 KBytes.
% 0.19/0.40 SPASS spent 0:00:00.05 on the problem.
% 0.19/0.40 0:00:00.03 for the input.
% 0.19/0.40 0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40 0:00:00.00 for inferences.
% 0.19/0.40 0:00:00.00 for the backtracking.
% 0.19/0.40 0:00:00.00 for the reduction.
% 0.19/0.40
% 0.19/0.40
% 0.19/0.40 Here is a proof with depth 1, length 8 :
% 0.19/0.40 % SZS output start Refutation
% See solution above
% 0.19/0.40 Formulae used in the proof : thm72_1 thm72_2 thm72_3 thm72_4 thm72_5 thm72_6
% 0.19/0.40
%------------------------------------------------------------------------------