TSTP Solution File: SYN367+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 12:20:49 EDT 2022
% Result : Theorem 0.20s 0.44s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 9 unt; 1 nHn; 13 RR)
% Number of literals : 17 ( 0 equ; 7 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 2 prp; 0-1 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ big_q(skc2),
file('SYN367+1.p',unknown),
[] ).
cnf(2,axiom,
~ big_r(skc3),
file('SYN367+1.p',unknown),
[] ).
cnf(3,axiom,
( ~ p
| skP0(u) ),
file('SYN367+1.p',unknown),
[] ).
cnf(4,axiom,
( skP0(u)
| big_r(u) ),
file('SYN367+1.p',unknown),
[] ).
cnf(5,axiom,
( ~ skP0(u)
| p ),
file('SYN367+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ skP0(u)
| big_q(u) ),
file('SYN367+1.p',unknown),
[] ).
cnf(11,plain,
skP0(u),
inference(spt,[spt(split,[position(s1)])],[3]),
[iquote('1:Spt:3.1')] ).
cnf(13,plain,
big_q(u),
inference(mrr,[status(thm)],[6,11]),
[iquote('1:MRR:6.0,11.0')] ).
cnf(14,plain,
$false,
inference(unc,[status(thm)],[13,1]),
[iquote('1:UnC:13.0,1.0')] ).
cnf(15,plain,
~ p,
inference(spt,[spt(split,[position(s2)])],[3]),
[iquote('1:Spt:14.0,3.0')] ).
cnf(16,plain,
~ skP0(u),
inference(mrr,[status(thm)],[5,15]),
[iquote('1:MRR:5.1,15.0')] ).
cnf(17,plain,
big_r(u),
inference(mrr,[status(thm)],[4,16]),
[iquote('1:MRR:4.0,16.0')] ).
cnf(18,plain,
$false,
inference(unc,[status(thm)],[17,2]),
[iquote('1:UnC:17.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SYN367+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n006.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 14:49:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.44
% 0.20/0.44 SPASS V 3.9
% 0.20/0.44 SPASS beiseite: Proof found.
% 0.20/0.44 % SZS status Theorem
% 0.20/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.44 SPASS derived 4 clauses, backtracked 4 clauses, performed 1 splits and kept 13 clauses.
% 0.20/0.44 SPASS allocated 97556 KBytes.
% 0.20/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.20/0.44 0:00:00.04 for the input.
% 0.20/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.44 0:00:00.00 for inferences.
% 0.20/0.44 0:00:00.00 for the backtracking.
% 0.20/0.44 0:00:00.00 for the reduction.
% 0.20/0.44
% 0.20/0.44
% 0.20/0.44 Here is a proof with depth 1, length 13 :
% 0.20/0.44 % SZS output start Refutation
% See solution above
% 0.20/0.44 Formulae used in the proof : x2118
% 0.20/0.44
%------------------------------------------------------------------------------