TSTP Solution File: GEO258+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 : Sat Jul 16 06:24:00 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 8
% Syntax : Number of clauses : 24 ( 12 unt; 8 nHn; 24 RR)
% Number of literals : 42 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-4 aty)
% Number of functors : 8 ( 8 usr; 8 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
between_on_line(skc4,skc5,skc6,skc7),
file('GEO258+3.p',unknown),
[] ).
cnf(9,axiom,
~ between_on_line(skc4,skc7,skc6,skc5),
file('GEO258+3.p',unknown),
[] ).
cnf(52,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,w,x)
| before_on_line(u,w,v) ),
file('GEO258+3.p',unknown),
[] ).
cnf(53,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,w,x)
| before_on_line(u,x,w) ),
file('GEO258+3.p',unknown),
[] ).
cnf(54,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,v,w)
| before_on_line(u,w,v) ),
file('GEO258+3.p',unknown),
[] ).
cnf(55,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,v,w)
| before_on_line(u,x,w) ),
file('GEO258+3.p',unknown),
[] ).
cnf(57,axiom,
( ~ before_on_line(u,v,w)
| ~ before_on_line(u,x,v)
| between_on_line(u,x,v,w) ),
file('GEO258+3.p',unknown),
[] ).
cnf(58,axiom,
( ~ before_on_line(u,v,w)
| ~ before_on_line(u,x,v)
| between_on_line(u,w,v,x) ),
file('GEO258+3.p',unknown),
[] ).
cnf(73,plain,
( before_on_line(skc4,skc6,skc7)
| before_on_line(skc4,skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[6,52]),
[iquote('0:Res:6.0,52.0')] ).
cnf(74,plain,
( before_on_line(skc4,skc6,skc7)
| before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[6,53]),
[iquote('0:Res:6.0,53.0')] ).
cnf(75,plain,
( before_on_line(skc4,skc5,skc6)
| before_on_line(skc4,skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[6,54]),
[iquote('0:Res:6.0,54.0')] ).
cnf(76,plain,
( before_on_line(skc4,skc5,skc6)
| before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[6,55]),
[iquote('0:Res:6.0,55.0')] ).
cnf(77,plain,
( ~ before_on_line(skc4,skc6,skc5)
| ~ before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[57,9]),
[iquote('0:Res:57.2,9.0')] ).
cnf(78,plain,
( ~ before_on_line(skc4,skc6,skc7)
| ~ before_on_line(skc4,skc5,skc6) ),
inference(res,[status(thm),theory(equality)],[58,9]),
[iquote('0:Res:58.2,9.0')] ).
cnf(82,plain,
before_on_line(skc4,skc5,skc6),
inference(spt,[spt(split,[position(s1)])],[76]),
[iquote('1:Spt:76.0')] ).
cnf(83,plain,
~ before_on_line(skc4,skc6,skc7),
inference(mrr,[status(thm)],[78,82]),
[iquote('1:MRR:78.1,82.0')] ).
cnf(84,plain,
before_on_line(skc4,skc7,skc6),
inference(mrr,[status(thm)],[74,83]),
[iquote('1:MRR:74.0,83.0')] ).
cnf(85,plain,
before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[73,83]),
[iquote('1:MRR:73.0,83.0')] ).
cnf(86,plain,
~ before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[77,84]),
[iquote('1:MRR:77.1,84.0')] ).
cnf(87,plain,
$false,
inference(mrr,[status(thm)],[86,85]),
[iquote('1:MRR:86.0,85.0')] ).
cnf(88,plain,
~ before_on_line(skc4,skc5,skc6),
inference(spt,[spt(split,[position(sa)])],[87,82]),
[iquote('1:Spt:87.0,76.0,82.0')] ).
cnf(89,plain,
before_on_line(skc4,skc7,skc6),
inference(spt,[spt(split,[position(s2)])],[76]),
[iquote('1:Spt:87.0,76.1')] ).
cnf(90,plain,
before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[75,88]),
[iquote('1:MRR:75.0,88.0')] ).
cnf(91,plain,
$false,
inference(mrr,[status(thm)],[77,90,89]),
[iquote('1:MRR:77.0,77.1,90.0,89.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO258+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 13:33:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 11 clauses, backtracked 7 clauses, performed 1 splits and kept 66 clauses.
% 0.19/0.45 SPASS allocated 97776 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 2, length 24 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con a9_defns
% 0.19/0.45
%------------------------------------------------------------------------------