TSTP Solution File: GEO184+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO184+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n012.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 06:23:05 EDT 2022
% Result : Theorem 0.18s 0.48s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 24 ( 10 unt; 10 nHn; 24 RR)
% Number of literals : 52 ( 0 equ; 14 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(skc7,skc6),
file('GEO184+2.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc7,skc4),
file('GEO184+2.p',unknown),
[] ).
cnf(4,axiom,
~ apart_point_and_line(skc6,skc4),
file('GEO184+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_points(u,u),
file('GEO184+2.p',unknown),
[] ).
cnf(8,axiom,
distinct_lines(skc4,line_connecting(skc7,skc6)),
file('GEO184+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO184+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO184+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO184+2.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('GEO184+2.p',unknown),
[] ).
cnf(24,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc6,v)
| apart_point_and_line(skc7,v)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,19]),
[iquote('0:Res:1.0,19.0')] ).
cnf(25,plain,
( distinct_points(skc6,u)
| distinct_points(skc7,u) ),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(60,plain,
( distinct_points(skc7,u)
| distinct_points(u,v)
| distinct_points(skc6,v) ),
inference(res,[status(thm),theory(equality)],[25,10]),
[iquote('0:Res:25.0,10.0')] ).
cnf(86,plain,
( distinct_points(skc7,u)
| distinct_points(u,skc6) ),
inference(res,[status(thm),theory(equality)],[60,5]),
[iquote('0:Res:60.2,5.0')] ).
cnf(88,plain,
( distinct_points(u,skc6)
| distinct_points(u,v)
| distinct_points(skc7,v) ),
inference(res,[status(thm),theory(equality)],[86,10]),
[iquote('0:Res:86.0,10.0')] ).
cnf(128,plain,
( distinct_points(u,skc6)
| distinct_points(u,skc7) ),
inference(res,[status(thm),theory(equality)],[88,5]),
[iquote('0:Res:88.2,5.0')] ).
cnf(254,plain,
( apart_point_and_line(skc6,skc4)
| apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc7,line_connecting(skc7,skc6))
| apart_point_and_line(skc7,skc4) ),
inference(res,[status(thm),theory(equality)],[8,24]),
[iquote('0:Res:8.0,24.0')] ).
cnf(283,plain,
( apart_point_and_line(skc6,line_connecting(skc7,skc6))
| apart_point_and_line(skc7,line_connecting(skc7,skc6)) ),
inference(mrr,[status(thm)],[254,4,3]),
[iquote('0:MRR:254.0,254.3,4.0,3.0')] ).
cnf(601,plain,
apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(s1)])],[283]),
[iquote('1:Spt:283.0')] ).
cnf(608,plain,
( ~ distinct_points(skc7,skc6)
| distinct_points(skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[601,16]),
[iquote('1:Res:601.0,16.1')] ).
cnf(610,plain,
$false,
inference(mrr,[status(thm)],[608,86,5]),
[iquote('1:MRR:608.0,608.1,86.0,5.0')] ).
cnf(611,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(sa)])],[610,601]),
[iquote('1:Spt:610.0,283.0,601.0')] ).
cnf(612,plain,
apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(s2)])],[283]),
[iquote('1:Spt:610.0,283.1')] ).
cnf(619,plain,
( ~ distinct_points(skc7,skc6)
| distinct_points(skc7,skc7) ),
inference(res,[status(thm),theory(equality)],[612,15]),
[iquote('1:Res:612.0,15.1')] ).
cnf(622,plain,
$false,
inference(mrr,[status(thm)],[619,128,5]),
[iquote('1:MRR:619.0,619.1,128.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO184+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.11 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n012.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 21:39:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.48
% 0.18/0.48 SPASS V 3.9
% 0.18/0.48 SPASS beiseite: Proof found.
% 0.18/0.48 % SZS status Theorem
% 0.18/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.48 SPASS derived 531 clauses, backtracked 3 clauses, performed 2 splits and kept 300 clauses.
% 0.18/0.48 SPASS allocated 85436 KBytes.
% 0.18/0.48 SPASS spent 0:00:00.14 on the problem.
% 0.18/0.48 0:00:00.04 for the input.
% 0.18/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.48 0:00:00.01 for inferences.
% 0.18/0.48 0:00:00.00 for the backtracking.
% 0.18/0.48 0:00:00.04 for the reduction.
% 0.18/0.48
% 0.18/0.48
% 0.18/0.48 Here is a proof with depth 5, length 24 :
% 0.18/0.48 % SZS output start Refutation
% See solution above
% 0.18/0.48 Formulae used in the proof : con apart1 apart4 con1 cu1
% 0.18/0.48
%------------------------------------------------------------------------------