TSTP Solution File: GEO204+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:23:22 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 10
% Syntax : Number of clauses : 29 ( 15 unt; 9 nHn; 29 RR)
% Number of literals : 55 ( 0 equ; 20 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(skc5,skc3),
file('GEO204+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(skc3,skc4),
file('GEO204+1.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO204+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO204+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO204+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO204+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO204+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO204+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(skc5,skc4)
| distinct_lines(line_connecting(skc5,skc3),line_connecting(skc5,skc4)) ),
file('GEO204+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('GEO204+1.p',unknown),
[] ).
cnf(18,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)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(20,plain,
~ apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(21,plain,
~ apart_point_and_line(skc3,line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(23,plain,
( ~ apart_point_and_line(skc3,u)
| apart_point_and_line(skc4,u) ),
inference(res,[status(thm),theory(equality)],[13,2]),
[iquote('0:Res:13.1,2.0')] ).
cnf(24,plain,
( ~ distinct_points(u,skc3)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[6,2]),
[iquote('0:Res:6.2,2.0')] ).
cnf(25,plain,
distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[1,24]),
[iquote('0:Res:1.0,24.0')] ).
cnf(29,plain,
distinct_lines(line_connecting(skc5,skc3),line_connecting(skc5,skc4)),
inference(mrr,[status(thm)],[16,25]),
[iquote('0:MRR:16.0,25.0')] ).
cnf(38,plain,
( distinct_lines(line_connecting(skc5,skc4),u)
| distinct_lines(line_connecting(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[29,7]),
[iquote('0:Res:29.0,7.0')] ).
cnf(39,plain,
distinct_lines(line_connecting(skc5,skc4),line_connecting(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[38,4]),
[iquote('0:Res:38.1,4.0')] ).
cnf(155,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc4))
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[39,18]),
[iquote('0:Res:39.0,18.0')] ).
cnf(157,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc4))
| apart_point_and_line(skc5,line_connecting(skc5,skc4)) ),
inference(mrr,[status(thm)],[155,21,20]),
[iquote('0:MRR:155.1,155.2,21.0,20.0')] ).
cnf(229,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc4))
| apart_point_and_line(skc4,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[157,23]),
[iquote('0:Res:157.0,23.0')] ).
cnf(232,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc4)),
inference(spt,[spt(split,[position(s1)])],[229]),
[iquote('1:Spt:229.0')] ).
cnf(233,plain,
~ distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[232,9]),
[iquote('1:Res:232.0,9.1')] ).
cnf(236,plain,
$false,
inference(mrr,[status(thm)],[233,25]),
[iquote('1:MRR:233.0,25.0')] ).
cnf(237,plain,
~ apart_point_and_line(skc5,line_connecting(skc5,skc4)),
inference(spt,[spt(split,[position(sa)])],[236,232]),
[iquote('1:Spt:236.0,229.0,232.0')] ).
cnf(238,plain,
apart_point_and_line(skc4,line_connecting(skc5,skc4)),
inference(spt,[spt(split,[position(s2)])],[229]),
[iquote('1:Spt:236.0,229.1')] ).
cnf(242,plain,
~ distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[238,10]),
[iquote('1:Res:238.0,10.1')] ).
cnf(245,plain,
$false,
inference(mrr,[status(thm)],[242,25]),
[iquote('1:MRR:242.0,25.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO204+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n004.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 08:34:53 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 199 clauses, backtracked 6 clauses, performed 1 splits and kept 88 clauses.
% 0.18/0.44 SPASS allocated 85209 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 0:00:00.01 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 6, length 29 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : con apart2 apart4 apart5 ci1 ci2 ceq1 cu1
% 0.18/0.44
%------------------------------------------------------------------------------