TSTP Solution File: GEO188+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:23:08 EDT 2022
% Result : Theorem 0.17s 0.48s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of clauses : 33 ( 17 unt; 13 nHn; 33 RR)
% Number of literals : 70 ( 0 equ; 20 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc5,skc3),
file('GEO188+1.p',unknown),
[] ).
cnf(3,axiom,
distinct_points(skc3,skc4),
file('GEO188+1.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO188+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(skc5,line_connecting(skc4,skc3)),
file('GEO188+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(skc4,line_connecting(skc5,skc3)),
file('GEO188+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO188+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO188+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO188+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO188+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('GEO188+1.p',unknown),
[] ).
cnf(20,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,v)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[3,19]),
[iquote('0:Res:3.0,19.0')] ).
cnf(21,plain,
( distinct_points(skc4,u)
| distinct_points(skc3,u) ),
inference(res,[status(thm),theory(equality)],[3,9]),
[iquote('0:Res:3.0,9.0')] ).
cnf(28,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc5,v)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(30,plain,
~ apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(31,plain,
~ apart_point_and_line(skc3,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(33,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc4,skc3),u) ),
inference(res,[status(thm),theory(equality)],[7,17]),
[iquote('0:Res:7.0,17.0')] ).
cnf(35,plain,
( ~ apart_point_and_line(skc4,u)
| distinct_lines(u,line_connecting(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[17,8]),
[iquote('0:Res:17.1,8.0')] ).
cnf(42,plain,
distinct_points(skc4,skc3),
inference(res,[status(thm),theory(equality)],[21,4]),
[iquote('0:Res:21.1,4.0')] ).
cnf(150,plain,
( ~ apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[35,28]),
[iquote('0:Res:35.1,28.0')] ).
cnf(153,plain,
( ~ apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u) ),
inference(mrr,[status(thm)],[150,31,30]),
[iquote('0:MRR:150.2,150.3,31.0,30.0')] ).
cnf(214,plain,
( apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[33,20]),
[iquote('0:Res:33.1,20.0')] ).
cnf(216,plain,
( apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc4,skc3)) ),
inference(mrr,[status(thm)],[214,153]),
[iquote('0:MRR:214.2,153.0')] ).
cnf(548,plain,
( apart_point_and_line(skc5,u)
| apart_point_and_line(skc3,u) ),
inference(spt,[spt(split,[position(s1)])],[216]),
[iquote('1:Spt:216.0,216.2')] ).
cnf(549,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[548,31]),
[iquote('1:Res:548.1,31.0')] ).
cnf(556,plain,
$false,
inference(mrr,[status(thm)],[549,30]),
[iquote('1:MRR:549.0,30.0')] ).
cnf(557,plain,
( apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc4,skc3)) ),
inference(spt,[spt(split,[position(s2)])],[216]),
[iquote('1:Spt:556.0,216.1,216.3')] ).
cnf(558,plain,
apart_point_and_line(skc4,line_connecting(skc4,skc3)),
inference(spt,[spt(split,[position(s2s1)])],[557]),
[iquote('2:Spt:557.0')] ).
cnf(559,plain,
~ distinct_points(skc4,skc3),
inference(res,[status(thm),theory(equality)],[558,12]),
[iquote('2:Res:558.0,12.1')] ).
cnf(563,plain,
$false,
inference(mrr,[status(thm)],[559,42]),
[iquote('2:MRR:559.0,42.0')] ).
cnf(564,plain,
~ apart_point_and_line(skc4,line_connecting(skc4,skc3)),
inference(spt,[spt(split,[position(s2sa)])],[563,558]),
[iquote('2:Spt:563.0,557.0,558.0')] ).
cnf(565,plain,
apart_point_and_line(skc3,line_connecting(skc4,skc3)),
inference(spt,[spt(split,[position(s2s2)])],[557]),
[iquote('2:Spt:563.0,557.1')] ).
cnf(568,plain,
~ distinct_points(skc4,skc3),
inference(res,[status(thm),theory(equality)],[565,13]),
[iquote('2:Res:565.0,13.1')] ).
cnf(571,plain,
$false,
inference(mrr,[status(thm)],[568,42]),
[iquote('2:MRR:568.0,42.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GEO188+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n003.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sat Jun 18 10:51:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.48
% 0.17/0.48 SPASS V 3.9
% 0.17/0.48 SPASS beiseite: Proof found.
% 0.17/0.48 % SZS status Theorem
% 0.17/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.48 SPASS derived 488 clauses, backtracked 14 clauses, performed 2 splits and kept 208 clauses.
% 0.17/0.48 SPASS allocated 85346 KBytes.
% 0.17/0.48 SPASS spent 0:00:00.14 on the problem.
% 0.17/0.48 0:00:00.04 for the input.
% 0.17/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.48 0:00:00.01 for inferences.
% 0.17/0.48 0:00:00.00 for the backtracking.
% 0.17/0.48 0:00:00.04 for the reduction.
% 0.17/0.48
% 0.17/0.48
% 0.17/0.48 Here is a proof with depth 5, length 33 :
% 0.17/0.48 % SZS output start Refutation
% See solution above
% 0.17/0.48 Formulae used in the proof : con apart1 apart4 ci1 ci2 ceq2 cu1
% 0.17/0.48
%------------------------------------------------------------------------------