TSTP Solution File: GEO190+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO190+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 06:23:10 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of clauses : 29 ( 10 unt; 15 nHn; 29 RR)
% Number of literals : 68 ( 0 equ; 18 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('GEO190+1.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO190+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(skc4,line_connecting(skc3,skc5)),
file('GEO190+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(skc4,line_connecting(skc5,skc3)),
file('GEO190+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO190+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO190+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO190+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO190+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('GEO190+1.p',unknown),
[] ).
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(29,plain,
( distinct_points(skc3,u)
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
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(skc4,u)
| distinct_lines(line_connecting(skc3,skc5),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(57,plain,
( distinct_points(skc5,u)
| distinct_points(u,v)
| distinct_points(skc3,v) ),
inference(res,[status(thm),theory(equality)],[29,9]),
[iquote('0:Res:29.0,9.0')] ).
cnf(73,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[57,4]),
[iquote('0:Res:57.2,4.0')] ).
cnf(77,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[73,9]),
[iquote('0:Res:73.0,9.0')] ).
cnf(112,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[77,4]),
[iquote('0:Res:77.2,4.0')] ).
cnf(117,plain,
distinct_points(skc3,skc5),
inference(res,[status(thm),theory(equality)],[112,4]),
[iquote('0:Res:112.0,4.0')] ).
cnf(150,plain,
( apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc5,line_connecting(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[33,28]),
[iquote('0:Res:33.1,28.0')] ).
cnf(151,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(152,plain,
( ~ apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u) ),
inference(mrr,[status(thm)],[151,31,30]),
[iquote('0:MRR:151.2,151.3,31.0,30.0')] ).
cnf(153,plain,
( apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc5,line_connecting(skc3,skc5)) ),
inference(mrr,[status(thm)],[150,152]),
[iquote('0:MRR:150.0,152.0')] ).
cnf(154,plain,
( apart_point_and_line(skc3,line_connecting(skc3,skc5))
| apart_point_and_line(skc5,line_connecting(skc3,skc5)) ),
inference(con,[status(thm)],[153]),
[iquote('0:Con:153.1')] ).
cnf(208,plain,
( ~ distinct_points(skc3,skc5)
| apart_point_and_line(skc5,line_connecting(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[154,12]),
[iquote('0:Res:154.0,12.1')] ).
cnf(211,plain,
apart_point_and_line(skc5,line_connecting(skc3,skc5)),
inference(mrr,[status(thm)],[208,117]),
[iquote('0:MRR:208.0,117.0')] ).
cnf(216,plain,
~ distinct_points(skc3,skc5),
inference(res,[status(thm),theory(equality)],[211,13]),
[iquote('0:Res:211.0,13.1')] ).
cnf(219,plain,
$false,
inference(mrr,[status(thm)],[216,117]),
[iquote('0:MRR:216.0,117.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GEO190+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 03:32:52 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46
% 0.20/0.46 SPASS V 3.9
% 0.20/0.46 SPASS beiseite: Proof found.
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 SPASS derived 173 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses.
% 0.20/0.46 SPASS allocated 85196 KBytes.
% 0.20/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.46 0:00:00.03 for the input.
% 0.20/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.46 0:00:00.00 for inferences.
% 0.20/0.46 0:00:00.00 for the backtracking.
% 0.20/0.46 0:00:00.01 for the reduction.
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 Here is a proof with depth 6, length 29 :
% 0.20/0.46 % SZS output start Refutation
% See solution above
% 0.20/0.46 Formulae used in the proof : con apart1 apart4 ci1 ci2 ceq2 cu1
% 0.20/0.46
%------------------------------------------------------------------------------