TSTP Solution File: GEO187+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:23:07 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 26 ( 11 unt; 13 nHn; 26 RR)
% Number of literals : 58 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc7,skc6),
file('GEO187+1.p',unknown),
[] ).
cnf(2,axiom,
distinct_points(skc4,skc5),
file('GEO187+1.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc7,line_connecting(skc4,skc5)),
file('GEO187+1.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(skc6,line_connecting(skc4,skc5)),
file('GEO187+1.p',unknown),
[] ).
cnf(8,axiom,
( apart_point_and_line(skc5,line_connecting(skc7,skc6))
| apart_point_and_line(skc4,line_connecting(skc7,skc6)) ),
file('GEO187+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO187+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO187+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO187+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ distinct_lines(u,v)
| ~ distinct_points(w,x)
| apart_point_and_line(x,u)
| apart_point_and_line(x,v)
| apart_point_and_line(w,v)
| apart_point_and_line(w,u) ),
file('GEO187+1.p',unknown),
[] ).
cnf(22,plain,
~ apart_point_and_line(skc4,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[2,12]),
[iquote('0:Res:2.0,12.0')] ).
cnf(23,plain,
~ apart_point_and_line(skc5,line_connecting(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(24,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc6,v)
| apart_point_and_line(skc7,v)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(26,plain,
~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(27,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(84,plain,
( apart_point_and_line(skc5,line_connecting(skc7,skc6))
| distinct_lines(line_connecting(skc7,skc6),u)
| apart_point_and_line(skc4,u) ),
inference(res,[status(thm),theory(equality)],[8,17]),
[iquote('0:Res:8.1,17.0')] ).
cnf(151,plain,
( distinct_lines(line_connecting(skc7,skc6),u)
| apart_point_and_line(skc4,u) ),
inference(spt,[spt(split,[position(s1)])],[84]),
[iquote('1:Spt:84.1,84.2')] ).
cnf(169,plain,
( apart_point_and_line(skc4,u)
| apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc7,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[151,24]),
[iquote('1:Res:151.0,24.0')] ).
cnf(170,plain,
( apart_point_and_line(skc4,u)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc7,u) ),
inference(mrr,[status(thm)],[169,27,26]),
[iquote('1:MRR:169.1,169.4,27.0,26.0')] ).
cnf(171,plain,
( apart_point_and_line(skc6,line_connecting(skc4,skc5))
| apart_point_and_line(skc7,line_connecting(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[170,22]),
[iquote('1:Res:170.0,22.0')] ).
cnf(178,plain,
$false,
inference(mrr,[status(thm)],[171,7,6]),
[iquote('1:MRR:171.0,171.1,7.0,6.0')] ).
cnf(179,plain,
apart_point_and_line(skc5,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(s2)])],[84]),
[iquote('1:Spt:178.0,84.0')] ).
cnf(180,plain,
( distinct_lines(line_connecting(skc7,skc6),u)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[179,17]),
[iquote('1:Res:179.0,17.0')] ).
cnf(183,plain,
( apart_point_and_line(skc5,u)
| apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc7,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[180,24]),
[iquote('1:Res:180.0,24.0')] ).
cnf(186,plain,
( apart_point_and_line(skc5,u)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc7,u) ),
inference(mrr,[status(thm)],[183,27,26]),
[iquote('1:MRR:183.1,183.4,27.0,26.0')] ).
cnf(213,plain,
( apart_point_and_line(skc6,line_connecting(skc4,skc5))
| apart_point_and_line(skc7,line_connecting(skc4,skc5)) ),
inference(res,[status(thm),theory(equality)],[186,23]),
[iquote('1:Res:186.0,23.0')] ).
cnf(220,plain,
$false,
inference(mrr,[status(thm)],[213,7,6]),
[iquote('1:MRR:213.0,213.1,7.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO187+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 : Fri Jun 17 20:47:48 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 179 clauses, backtracked 2 clauses, performed 2 splits and kept 125 clauses.
% 0.19/0.46 SPASS allocated 85222 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.11 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.01 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 5, length 26 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : con ci1 ci2 ceq2 cu1
% 0.19/0.46
%------------------------------------------------------------------------------