%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO173+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:22:55 EDT 2022
% Result : Theorem 0.18s 0.49s
% 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('GEO173+2.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc7,skc4),
file('GEO173+2.p',unknown),
[] ).
cnf(4,axiom,
~ apart_point_and_line(skc6,skc4),
file('GEO173+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_points(u,u),
file('GEO173+2.p',unknown),
[] ).
cnf(8,axiom,
distinct_lines(skc4,line_connecting(skc7,skc6)),
file('GEO173+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO173+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO173+2.p',unknown),
[] ).
cnf(16,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO173+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('GEO173+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(56,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(82,plain,
( distinct_points(skc7,u)
| distinct_points(u,skc6) ),
inference(res,[status(thm),theory(equality)],[56,5]),
[iquote('0:Res:56.2,5.0')] ).
cnf(84,plain,
( distinct_points(u,skc6)
| distinct_points(u,v)
| distinct_points(skc7,v) ),
inference(res,[status(thm),theory(equality)],[82,10]),
[iquote('0:Res:82.0,10.0')] ).
cnf(124,plain,
( distinct_points(u,skc6)
| distinct_points(u,skc7) ),
inference(res,[status(thm),theory(equality)],[84,5]),
[iquote('0:Res:84.2,5.0')] ).
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(284,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(684,plain,
apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(s1)])],[284]),
[iquote('1:Spt:284.0')] ).
cnf(691,plain,
( ~ distinct_points(skc7,skc6)
| distinct_points(skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[684,16]),
[iquote('1:Res:684.0,16.1')] ).
cnf(693,plain,
$false,
inference(mrr,[status(thm)],[691,82,5]),
[iquote('1:MRR:691.0,691.1,82.0,5.0')] ).
cnf(694,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(sa)])],[693,684]),
[iquote('1:Spt:693.0,284.0,684.0')] ).
cnf(695,plain,
apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(spt,[spt(split,[position(s2)])],[284]),
[iquote('1:Spt:693.0,284.1')] ).
cnf(702,plain,
( ~ distinct_points(skc7,skc6)
| distinct_points(skc7,skc7) ),
inference(res,[status(thm),theory(equality)],[695,15]),
[iquote('1:Res:695.0,15.1')] ).
cnf(705,plain,
$false,
inference(mrr,[status(thm)],[702,124,5]),
[iquote('1:MRR:702.0,702.1,124.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO173+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n017.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 04:56:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 604 clauses, backtracked 8 clauses, performed 4 splits and kept 325 clauses.
% 0.18/0.49 SPASS allocated 85490 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.49 0:00:00.03 for the input.
% 0.18/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.01 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.06 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 5, length 24 :
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 Formulae used in the proof : con apart1 apart4 con1 cu1
% 0.18/0.49
%------------------------------------------------------------------------------