TSTP Solution File: GEO258+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n022.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 0.18s 0.43s
% Output : Refutation 0.18s
% 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+1.p',unknown),
[] ).
cnf(8,axiom,
~ between_on_line(skc4,skc7,skc6,skc5),
file('GEO258+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,w,x)
| before_on_line(u,w,v) ),
file('GEO258+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,w,x)
| before_on_line(u,x,w) ),
file('GEO258+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,v,w)
| before_on_line(u,w,v) ),
file('GEO258+1.p',unknown),
[] ).
cnf(47,axiom,
( ~ between_on_line(u,v,w,x)
| before_on_line(u,v,w)
| before_on_line(u,x,w) ),
file('GEO258+1.p',unknown),
[] ).
cnf(49,axiom,
( ~ before_on_line(u,v,w)
| ~ before_on_line(u,x,v)
| between_on_line(u,x,v,w) ),
file('GEO258+1.p',unknown),
[] ).
cnf(50,axiom,
( ~ before_on_line(u,v,w)
| ~ before_on_line(u,x,v)
| between_on_line(u,w,v,x) ),
file('GEO258+1.p',unknown),
[] ).
cnf(64,plain,
( before_on_line(skc4,skc6,skc7)
| before_on_line(skc4,skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[6,44]),
[iquote('0:Res:6.0,44.0')] ).
cnf(65,plain,
( before_on_line(skc4,skc6,skc7)
| before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[6,45]),
[iquote('0:Res:6.0,45.0')] ).
cnf(66,plain,
( before_on_line(skc4,skc5,skc6)
| before_on_line(skc4,skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[6,46]),
[iquote('0:Res:6.0,46.0')] ).
cnf(67,plain,
( before_on_line(skc4,skc5,skc6)
| before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[6,47]),
[iquote('0:Res:6.0,47.0')] ).
cnf(68,plain,
( ~ before_on_line(skc4,skc6,skc5)
| ~ before_on_line(skc4,skc7,skc6) ),
inference(res,[status(thm),theory(equality)],[49,8]),
[iquote('0:Res:49.2,8.0')] ).
cnf(69,plain,
( ~ before_on_line(skc4,skc6,skc7)
| ~ before_on_line(skc4,skc5,skc6) ),
inference(res,[status(thm),theory(equality)],[50,8]),
[iquote('0:Res:50.2,8.0')] ).
cnf(73,plain,
before_on_line(skc4,skc5,skc6),
inference(spt,[spt(split,[position(s1)])],[67]),
[iquote('1:Spt:67.0')] ).
cnf(74,plain,
~ before_on_line(skc4,skc6,skc7),
inference(mrr,[status(thm)],[69,73]),
[iquote('1:MRR:69.1,73.0')] ).
cnf(75,plain,
before_on_line(skc4,skc7,skc6),
inference(mrr,[status(thm)],[65,74]),
[iquote('1:MRR:65.0,74.0')] ).
cnf(76,plain,
before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[64,74]),
[iquote('1:MRR:64.0,74.0')] ).
cnf(77,plain,
~ before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[68,75]),
[iquote('1:MRR:68.1,75.0')] ).
cnf(78,plain,
$false,
inference(mrr,[status(thm)],[77,76]),
[iquote('1:MRR:77.0,76.0')] ).
cnf(79,plain,
~ before_on_line(skc4,skc5,skc6),
inference(spt,[spt(split,[position(sa)])],[78,73]),
[iquote('1:Spt:78.0,67.0,73.0')] ).
cnf(80,plain,
before_on_line(skc4,skc7,skc6),
inference(spt,[spt(split,[position(s2)])],[67]),
[iquote('1:Spt:78.0,67.1')] ).
cnf(81,plain,
before_on_line(skc4,skc6,skc5),
inference(mrr,[status(thm)],[66,79]),
[iquote('1:MRR:66.0,79.0')] ).
cnf(82,plain,
$false,
inference(mrr,[status(thm)],[68,81,80]),
[iquote('1:MRR:68.0,68.1,81.0,80.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO258+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n022.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 : Sat Jun 18 06:58:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 11 clauses, backtracked 7 clauses, performed 1 splits and kept 55 clauses.
% 0.18/0.43 SPASS allocated 97769 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.43 0:00:00.04 for the input.
% 0.18/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.00 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 2, length 24 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : con bet_def
% 0.18/0.43
%------------------------------------------------------------------------------