TSTP Solution File: SYN068+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 12:18:17 EDT 2022
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 4 unt; 0 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
big_j(skc1),
file('SYN068+1.p',unknown),
[] ).
cnf(2,axiom,
big_g(skf3(u)),
file('SYN068+1.p',unknown),
[] ).
cnf(4,axiom,
( ~ big_j(u)
| big(u) ),
file('SYN068+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ big_g(u)
| big_h(skc1,u) ),
file('SYN068+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ big(u)
| ~ big_h(u,skf3(u)) ),
file('SYN068+1.p',unknown),
[] ).
cnf(8,plain,
big(skc1),
inference(res,[status(thm),theory(equality)],[1,4]),
[iquote('0:Res:1.0,4.0')] ).
cnf(14,plain,
( ~ big_g(skf3(skc1))
| ~ big(skc1) ),
inference(res,[status(thm),theory(equality)],[5,7]),
[iquote('0:Res:5.1,7.1')] ).
cnf(15,plain,
$false,
inference(ssi,[status(thm)],[14,1,8,2]),
[iquote('0:SSi:14.1,14.0,1.0,8.0,2.0,1.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : SYN068+1 : TPTP v8.1.0. Released v2.0.0.
% 0.08/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.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 00:51:13 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.45
% 0.20/0.45 SPASS V 3.9
% 0.20/0.45 SPASS beiseite: Proof found.
% 0.20/0.45 % SZS status Theorem
% 0.20/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.45 SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.20/0.45 SPASS allocated 97562 KBytes.
% 0.20/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.45 0:00:00.04 for the input.
% 0.20/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.45 0:00:00.00 for inferences.
% 0.20/0.45 0:00:00.00 for the backtracking.
% 0.20/0.45 0:00:00.00 for the reduction.
% 0.20/0.45
% 0.20/0.45
% 0.20/0.45 Here is a proof with depth 1, length 8 :
% 0.20/0.45 % SZS output start Refutation
% See solution above
% 0.20/0.45 Formulae used in the proof : pel44_2 pel44_1 pel44
% 0.20/0.45
%------------------------------------------------------------------------------