TSTP Solution File: GEO197+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:23:16 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 10 unt; 4 nHn; 22 RR)
% Number of literals : 47 ( 0 equ; 22 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 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,
convergent_lines(skc5,skc3),
file('GEO197+2.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc4,skc3),
file('GEO197+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO197+2.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc4,skc3),skc5),
file('GEO197+2.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO197+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO197+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO197+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO197+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('GEO197+2.p',unknown),
[] ).
cnf(21,plain,
distinct_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[3,9]),
[iquote('0:Res:3.0,9.0')] ).
cnf(22,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(u,intersection_point(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[3,17]),
[iquote('0:Res:3.0,17.1')] ).
cnf(23,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(u,intersection_point(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[3,18]),
[iquote('0:Res:3.0,18.1')] ).
cnf(31,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(u,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.1')] ).
cnf(32,plain,
( ~ convergent_lines(skc5,u)
| distinct_points(intersection_point(skc4,skc3),intersection_point(skc5,u)) ),
inference(res,[status(thm),theory(equality)],[7,17]),
[iquote('0:Res:7.0,17.0')] ).
cnf(41,plain,
( ~ distinct_points(u,intersection_point(skc5,skc3))
| ~ distinct_lines(skc4,v)
| apart_point_and_line(u,v)
| apart_point_and_line(u,skc4)
| apart_point_and_line(intersection_point(skc5,skc3),v) ),
inference(res,[status(thm),theory(equality)],[19,8]),
[iquote('0:Res:19.5,8.0')] ).
cnf(48,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[31,4]),
[iquote('0:Res:31.1,4.0')] ).
cnf(74,plain,
~ apart_point_and_line(intersection_point(skc4,skc3),skc3),
inference(res,[status(thm),theory(equality)],[23,4]),
[iquote('0:Res:23.1,4.0')] ).
cnf(79,plain,
~ apart_point_and_line(intersection_point(skc4,skc3),skc4),
inference(res,[status(thm),theory(equality)],[22,4]),
[iquote('0:Res:22.1,4.0')] ).
cnf(714,plain,
( ~ convergent_lines(skc5,skc3)
| ~ distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc4,skc3),u)
| apart_point_and_line(intersection_point(skc4,skc3),skc4)
| apart_point_and_line(intersection_point(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[32,41]),
[iquote('0:Res:32.1,41.0')] ).
cnf(715,plain,
( ~ distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc4,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc3),u) ),
inference(mrr,[status(thm)],[714,1,79]),
[iquote('0:MRR:714.0,714.3,1.0,79.0')] ).
cnf(942,plain,
( ~ distinct_lines(skc4,skc3)
| apart_point_and_line(intersection_point(skc5,skc3),skc3) ),
inference(res,[status(thm),theory(equality)],[715,74]),
[iquote('0:Res:715.1,74.0')] ).
cnf(959,plain,
$false,
inference(mrr,[status(thm)],[942,21,48]),
[iquote('0:MRR:942.0,942.1,21.0,48.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO197+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.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 10:02:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58
% 0.18/0.58 SPASS V 3.9
% 0.18/0.58 SPASS beiseite: Proof found.
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.58 SPASS derived 891 clauses, backtracked 0 clauses, performed 0 splits and kept 519 clauses.
% 0.18/0.58 SPASS allocated 85588 KBytes.
% 0.18/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.18/0.58 0:00:00.04 for the input.
% 0.18/0.58 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.58 0:00:00.01 for inferences.
% 0.18/0.58 0:00:00.00 for the backtracking.
% 0.18/0.58 0:00:00.12 for the reduction.
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 Here is a proof with depth 3, length 22 :
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.58 Formulae used in the proof : con apart1 ceq3 con2 cu1
% 0.18/0.58
%------------------------------------------------------------------------------