TSTP Solution File: GEO170+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO170+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 06:22:53 EDT 2022
% Result : Theorem 0.20s 0.49s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 7 unt; 11 nHn; 22 RR)
% Number of literals : 51 ( 0 equ; 13 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(skc5,skc3),
file('GEO170+2.p',unknown),
[] ).
cnf(2,axiom,
~ apart_point_and_line(skc5,skc4),
file('GEO170+2.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc3,skc4),
file('GEO170+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO170+2.p',unknown),
[] ).
cnf(7,axiom,
distinct_lines(skc4,line_connecting(skc5,skc3)),
file('GEO170+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO170+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO170+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO170+2.p',unknown),
[] ).
cnf(18,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('GEO170+2.p',unknown),
[] ).
cnf(19,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)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(20,plain,
( distinct_points(skc3,u)
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(22,plain,
( ~ apart_point_and_line(u,line_connecting(skc5,skc3))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.1')] ).
cnf(48,plain,
( distinct_points(skc5,u)
| distinct_points(u,v)
| distinct_points(skc3,v) ),
inference(res,[status(thm),theory(equality)],[20,9]),
[iquote('0:Res:20.0,9.0')] ).
cnf(53,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[48,4]),
[iquote('0:Res:48.2,4.0')] ).
cnf(55,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[53,9]),
[iquote('0:Res:53.0,9.0')] ).
cnf(65,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[55,4]),
[iquote('0:Res:55.2,4.0')] ).
cnf(341,plain,
( apart_point_and_line(skc3,skc4)
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[7,19]),
[iquote('0:Res:7.0,19.0')] ).
cnf(350,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(mrr,[status(thm)],[341,3,2]),
[iquote('0:MRR:341.0,341.3,3.0,2.0')] ).
cnf(357,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc3))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[350,22]),
[iquote('0:Res:350.0,22.0')] ).
cnf(362,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(mrr,[status(thm)],[357,4]),
[iquote('0:MRR:357.1,4.0')] ).
cnf(368,plain,
( ~ distinct_points(skc5,skc3)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[362,14]),
[iquote('0:Res:362.0,14.1')] ).
cnf(371,plain,
$false,
inference(mrr,[status(thm)],[368,65,4]),
[iquote('0:MRR:368.0,368.1,65.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GEO170+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.13/0.36 % Computer : n009.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Fri Jun 17 20:26:52 EDT 2022
% 0.13/0.36 % CPUTime :
% 0.20/0.49
% 0.20/0.49 SPASS V 3.9
% 0.20/0.49 SPASS beiseite: Proof found.
% 0.20/0.49 % SZS status Theorem
% 0.20/0.49 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.49 SPASS derived 313 clauses, backtracked 1 clauses, performed 1 splits and kept 128 clauses.
% 0.20/0.49 SPASS allocated 85261 KBytes.
% 0.20/0.49 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.49 0:00:00.04 for the input.
% 0.20/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.49 0:00:00.01 for inferences.
% 0.20/0.49 0:00:00.00 for the backtracking.
% 0.20/0.49 0:00:00.03 for the reduction.
% 0.20/0.49
% 0.20/0.49
% 0.20/0.49 Here is a proof with depth 5, length 22 :
% 0.20/0.49 % SZS output start Refutation
% See solution above
% 0.20/0.49 Formulae used in the proof : con apart1 apart4 con1 cu1
% 0.20/0.49
%------------------------------------------------------------------------------