TSTP Solution File: GEO179+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:23:01 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 28 ( 8 unt; 12 nHn; 28 RR)
% Number of literals : 55 ( 0 equ; 16 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc3,skc4),
file('GEO179+2.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(u,u),
file('GEO179+2.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO179+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO179+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO179+2.p',unknown),
[] ).
cnf(11,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO179+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO179+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO179+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_lines(line_connecting(skc3,skc4),line_connecting(skc5,skc4))
| ~ distinct_lines(line_connecting(skc3,skc4),line_connecting(skc5,skc3)) ),
file('GEO179+2.p',unknown),
[] ).
cnf(20,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.1')] ).
cnf(21,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.1')] ).
cnf(24,plain,
( apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[5,10]),
[iquote('0:Res:5.0,10.0')] ).
cnf(25,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,11]),
[iquote('0:Res:5.0,11.0')] ).
cnf(36,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[24,21]),
[iquote('0:Res:24.0,21.0')] ).
cnf(39,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[24,20]),
[iquote('0:Res:24.0,20.0')] ).
cnf(50,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[39,7]),
[iquote('0:Res:39.0,7.0')] ).
cnf(51,plain,
( distinct_points(u,skc4)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[36,7]),
[iquote('0:Res:36.0,7.0')] ).
cnf(88,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[50,2]),
[iquote('0:Res:50.2,2.0')] ).
cnf(105,plain,
( distinct_points(u,skc4)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[51,2]),
[iquote('0:Res:51.2,2.0')] ).
cnf(198,plain,
( ~ distinct_lines(line_connecting(skc3,skc4),line_connecting(skc5,skc4))
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[25,16]),
[iquote('0:Res:25.1,16.1')] ).
cnf(500,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc4))
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[25,198]),
[iquote('0:Res:25.1,198.0')] ).
cnf(511,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(spt,[spt(split,[position(s1)])],[500]),
[iquote('1:Spt:500.1')] ).
cnf(514,plain,
( ~ distinct_points(skc5,skc3)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[511,12]),
[iquote('1:Res:511.0,12.1')] ).
cnf(516,plain,
$false,
inference(mrr,[status(thm)],[514,88,2]),
[iquote('1:MRR:514.0,514.1,88.0,2.0')] ).
cnf(517,plain,
~ apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(spt,[spt(split,[position(sa)])],[516,511]),
[iquote('1:Spt:516.0,500.1,511.0')] ).
cnf(518,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc4)),
inference(spt,[spt(split,[position(s2)])],[500]),
[iquote('1:Spt:516.0,500.0')] ).
cnf(525,plain,
( ~ distinct_points(skc5,skc4)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[518,12]),
[iquote('1:Res:518.0,12.1')] ).
cnf(527,plain,
$false,
inference(mrr,[status(thm)],[525,105,2]),
[iquote('1:MRR:525.0,525.1,105.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 00:56:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 459 clauses, backtracked 7 clauses, performed 1 splits and kept 186 clauses.
% 0.19/0.50 SPASS allocated 85317 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.04 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 5, length 28 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : con apart1 apart4 ceq1 ceq2 con1
% 0.19/0.50
%------------------------------------------------------------------------------