TSTP Solution File: GEO182+2 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:23:03 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 30 ( 8 unt; 16 nHn; 30 RR)
% Number of literals : 72 ( 0 equ; 19 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('GEO182+2.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(u,u),
file('GEO182+2.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO182+2.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc5,line_connecting(skc4,skc3)),
file('GEO182+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO182+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO182+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO182+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO182+2.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('GEO182+2.p',unknown),
[] ).
cnf(18,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,v)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(19,plain,
( distinct_points(skc4,u)
| distinct_points(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(20,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc4))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.1')] ).
cnf(29,plain,
( ~ apart_point_and_line(skc5,u)
| distinct_lines(u,line_connecting(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[12,6]),
[iquote('0:Res:12.1,6.0')] ).
cnf(62,plain,
( distinct_points(skc4,u)
| distinct_points(u,v)
| distinct_points(skc3,v) ),
inference(res,[status(thm),theory(equality)],[19,8]),
[iquote('0:Res:19.1,8.0')] ).
cnf(87,plain,
( distinct_points(skc4,u)
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[62,2]),
[iquote('0:Res:62.2,2.0')] ).
cnf(89,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc4,v) ),
inference(res,[status(thm),theory(equality)],[87,8]),
[iquote('0:Res:87.0,8.0')] ).
cnf(133,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[89,2]),
[iquote('0:Res:89.2,2.0')] ).
cnf(139,plain,
( distinct_points(u,skc4)
| distinct_points(skc3,v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[133,8]),
[iquote('0:Res:133.0,8.0')] ).
cnf(176,plain,
( distinct_points(u,skc4)
| distinct_points(skc3,u) ),
inference(res,[status(thm),theory(equality)],[139,2]),
[iquote('0:Res:139.2,2.0')] ).
cnf(266,plain,
( ~ apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[29,18]),
[iquote('0:Res:29.1,18.0')] ).
cnf(843,plain,
( ~ apart_point_and_line(skc5,u)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc3,u) ),
inference(spt,[spt(split,[position(s1)])],[266]),
[iquote('1:Spt:266.0,266.1,266.4')] ).
cnf(848,plain,
( ~ apart_point_and_line(skc5,line_connecting(skc3,skc4))
| apart_point_and_line(skc4,line_connecting(skc3,skc4))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[843,20]),
[iquote('1:Res:843.2,20.0')] ).
cnf(855,plain,
apart_point_and_line(skc4,line_connecting(skc3,skc4)),
inference(mrr,[status(thm)],[848,5,2]),
[iquote('1:MRR:848.0,848.2,5.0,2.0')] ).
cnf(861,plain,
( ~ distinct_points(skc3,skc4)
| distinct_points(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[855,14]),
[iquote('1:Res:855.0,14.1')] ).
cnf(863,plain,
$false,
inference(mrr,[status(thm)],[861,176,2]),
[iquote('1:MRR:861.0,861.1,176.1,2.0')] ).
cnf(864,plain,
( apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc4,skc3)) ),
inference(spt,[spt(split,[position(s2)])],[266]),
[iquote('1:Spt:863.0,266.2,266.3')] ).
cnf(869,plain,
( ~ distinct_points(skc4,skc3)
| apart_point_and_line(skc4,line_connecting(skc4,skc3))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[864,14]),
[iquote('1:Res:864.1,14.1')] ).
cnf(870,plain,
apart_point_and_line(skc4,line_connecting(skc4,skc3)),
inference(mrr,[status(thm)],[869,87,2]),
[iquote('1:MRR:869.0,869.2,87.0,2.0')] ).
cnf(874,plain,
( ~ distinct_points(skc4,skc3)
| distinct_points(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[870,13]),
[iquote('1:Res:870.0,13.1')] ).
cnf(876,plain,
$false,
inference(mrr,[status(thm)],[874,133,2]),
[iquote('1:MRR:874.0,874.1,133.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO182+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n028.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 01:11:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 767 clauses, backtracked 7 clauses, performed 1 splits and kept 242 clauses.
% 0.19/0.51 SPASS allocated 85471 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.16 on the problem.
% 0.19/0.51 0:00:00.04 for the input.
% 0.19/0.51 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.01 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.06 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 7, length 30 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : con apart1 apart4 ceq2 con1 cu1
% 0.19/0.51
%------------------------------------------------------------------------------