TSTP Solution File: GEO180+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 12 unt; 9 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 17 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(skc3,skc4),
file('GEO180+3.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO180+3.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc3,line_connecting(skc5,skc4)),
file('GEO180+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO180+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO180+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO180+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO180+3.p',unknown),
[] ).
cnf(49,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('GEO180+3.p',unknown),
[] ).
cnf(53,plain,
~ apart_point_and_line(skc3,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.0')] ).
cnf(54,plain,
~ apart_point_and_line(skc4,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.0,32.0')] ).
cnf(56,plain,
( apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[5,35]),
[iquote('0:Res:5.0,35.0')] ).
cnf(57,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,36]),
[iquote('0:Res:5.0,36.0')] ).
cnf(62,plain,
( ~ distinct_lines(u,line_connecting(skc5,skc4))
| ~ distinct_points(skc3,v)
| apart_point_and_line(v,u)
| apart_point_and_line(v,line_connecting(skc5,skc4))
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[49,6]),
[iquote('0:Res:49.3,6.0')] ).
cnf(69,plain,
( ~ distinct_lines(u,line_connecting(skc5,skc4))
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc4,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[1,62]),
[iquote('0:Res:1.0,62.0')] ).
cnf(104,plain,
( ~ distinct_lines(u,line_connecting(skc5,skc4))
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u) ),
inference(spt,[spt(split,[position(s1)])],[69]),
[iquote('1:Spt:69.0,69.1,69.2')] ).
cnf(126,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc4))
| apart_point_and_line(skc4,line_connecting(skc3,skc4))
| apart_point_and_line(skc3,line_connecting(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[57,104]),
[iquote('1:Res:57.1,104.0')] ).
cnf(128,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc4)),
inference(mrr,[status(thm)],[126,54,53]),
[iquote('1:MRR:126.1,126.2,54.0,53.0')] ).
cnf(142,plain,
distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[56,54]),
[iquote('0:Res:56.0,54.0')] ).
cnf(192,plain,
~ distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[128,31]),
[iquote('1:Res:128.0,31.1')] ).
cnf(195,plain,
$false,
inference(mrr,[status(thm)],[192,142]),
[iquote('1:MRR:192.0,142.0')] ).
cnf(196,plain,
apart_point_and_line(skc4,line_connecting(skc5,skc4)),
inference(spt,[spt(split,[position(s2)])],[69]),
[iquote('1:Spt:195.0,69.3')] ).
cnf(197,plain,
~ distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[196,32]),
[iquote('1:Res:196.0,32.1')] ).
cnf(200,plain,
$false,
inference(mrr,[status(thm)],[197,142]),
[iquote('1:MRR:197.0,142.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO180+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n021.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 11:33:16 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 129 clauses, backtracked 2 clauses, performed 2 splits and kept 123 clauses.
% 0.18/0.44 SPASS allocated 97748 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 5, length 23 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : con ci1 ci2 ceq1 ceq2 cu1
% 0.18/0.44
%------------------------------------------------------------------------------