TSTP Solution File: GEO181+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:23:02 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 28 ( 15 unt; 11 nHn; 28 RR)
% Number of literals : 55 ( 0 equ; 19 neg)
% Maximal clause size : 6 ( 1 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(skc3,skc4),
file('GEO181+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(u,u),
file('GEO181+1.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO181+1.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc4,line_connecting(skc3,skc5)),
file('GEO181+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO181+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO181+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO181+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO181+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO181+1.p',unknown),
[] ).
cnf(17,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('GEO181+1.p',unknown),
[] ).
cnf(20,plain,
~ apart_point_and_line(skc3,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(21,plain,
~ apart_point_and_line(skc4,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(22,plain,
( apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[5,14]),
[iquote('0:Res:5.0,14.0')] ).
cnf(23,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(28,plain,
( ~ distinct_points(u,skc4)
| ~ distinct_lines(v,line_connecting(skc3,skc5))
| apart_point_and_line(u,v)
| apart_point_and_line(u,line_connecting(skc3,skc5))
| apart_point_and_line(skc4,v) ),
inference(res,[status(thm),theory(equality)],[17,6]),
[iquote('0:Res:17.4,6.0')] ).
cnf(30,plain,
( ~ distinct_lines(u,line_connecting(skc3,skc5))
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,line_connecting(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[1,28]),
[iquote('0:Res:1.0,28.0')] ).
cnf(58,plain,
( ~ distinct_lines(u,line_connecting(skc3,skc5))
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u) ),
inference(spt,[spt(split,[position(s1)])],[30]),
[iquote('1:Spt:30.0,30.1,30.2')] ).
cnf(61,plain,
( apart_point_and_line(skc5,line_connecting(skc3,skc5))
| apart_point_and_line(skc4,line_connecting(skc3,skc4))
| apart_point_and_line(skc3,line_connecting(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[23,58]),
[iquote('1:Res:23.1,58.0')] ).
cnf(63,plain,
apart_point_and_line(skc5,line_connecting(skc3,skc5)),
inference(mrr,[status(thm)],[61,21,20]),
[iquote('1:MRR:61.1,61.2,21.0,20.0')] ).
cnf(64,plain,
distinct_points(skc5,skc3),
inference(res,[status(thm),theory(equality)],[22,20]),
[iquote('0:Res:22.0,20.0')] ).
cnf(73,plain,
~ distinct_points(skc3,skc5),
inference(res,[status(thm),theory(equality)],[63,11]),
[iquote('1:Res:63.0,11.1')] ).
cnf(82,plain,
( distinct_points(skc3,u)
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[64,7]),
[iquote('0:Res:64.0,7.0')] ).
cnf(88,plain,
distinct_points(skc5,skc5),
inference(res,[status(thm),theory(equality)],[82,73]),
[iquote('1:Res:82.0,73.0')] ).
cnf(89,plain,
$false,
inference(mrr,[status(thm)],[88,2]),
[iquote('1:MRR:88.0,2.0')] ).
cnf(90,plain,
apart_point_and_line(skc3,line_connecting(skc3,skc5)),
inference(spt,[spt(split,[position(s2)])],[30]),
[iquote('1:Spt:89.0,30.3')] ).
cnf(92,plain,
~ distinct_points(skc3,skc5),
inference(res,[status(thm),theory(equality)],[90,10]),
[iquote('1:Res:90.0,10.1')] ).
cnf(96,plain,
distinct_points(skc5,skc5),
inference(res,[status(thm),theory(equality)],[82,92]),
[iquote('1:Res:82.0,92.0')] ).
cnf(98,plain,
$false,
inference(mrr,[status(thm)],[96,2]),
[iquote('1:MRR:96.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO181+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jun 18 12:43:52 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.45
% 0.21/0.45 SPASS V 3.9
% 0.21/0.45 SPASS beiseite: Proof found.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.45 SPASS derived 65 clauses, backtracked 2 clauses, performed 2 splits and kept 55 clauses.
% 0.21/0.45 SPASS allocated 85176 KBytes.
% 0.21/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.45 0:00:00.04 for the input.
% 0.21/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.45 0:00:00.00 for inferences.
% 0.21/0.45 0:00:00.00 for the backtracking.
% 0.21/0.45 0:00:00.00 for the reduction.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Here is a proof with depth 6, length 28 :
% 0.21/0.45 % SZS output start Refutation
% See solution above
% 0.21/0.45 Formulae used in the proof : con apart1 apart4 ci1 ci2 ceq1 ceq2 cu1
% 0.21/0.45
%------------------------------------------------------------------------------