%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO193+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 06:23:13 EDT 2022
% Result : Theorem 0.41s 0.58s
% Output : Refutation 0.41s
% 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('GEO193+2.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc4,skc3),
file('GEO193+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO193+2.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO193+2.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc4,skc3),skc5),
file('GEO193+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO193+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO193+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO193+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('GEO193+2.p',unknown),
[] ).
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(29,plain,
distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(30,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(u,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.1')] ).
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(skc4,u)
| distinct_points(intersection_point(skc5,skc3),intersection_point(skc4,u)) ),
inference(res,[status(thm),theory(equality)],[7,17]),
[iquote('0:Res:7.0,17.0')] ).
cnf(41,plain,
( ~ distinct_points(u,intersection_point(skc4,skc3))
| ~ distinct_lines(skc5,v)
| apart_point_and_line(u,v)
| apart_point_and_line(u,skc5)
| apart_point_and_line(intersection_point(skc4,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(66,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[30,4]),
[iquote('0:Res:30.1,4.0')] ).
cnf(77,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(714,plain,
( ~ convergent_lines(skc4,skc3)
| ~ distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc3),skc5)
| apart_point_and_line(intersection_point(skc4,skc3),u) ),
inference(res,[status(thm),theory(equality)],[32,41]),
[iquote('0:Res:32.1,41.0')] ).
cnf(715,plain,
( ~ distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc4,skc3),u) ),
inference(mrr,[status(thm)],[714,3,66]),
[iquote('0:MRR:714.0,714.3,3.0,66.0')] ).
cnf(938,plain,
( ~ distinct_lines(skc5,skc3)
| apart_point_and_line(intersection_point(skc5,skc3),skc3) ),
inference(res,[status(thm),theory(equality)],[715,77]),
[iquote('0:Res:715.2,77.0')] ).
cnf(954,plain,
$false,
inference(mrr,[status(thm)],[938,29,48]),
[iquote('0:MRR:938.0,938.1,29.0,48.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO193+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n028.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 : Fri Jun 17 18:01:13 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.41/0.58
% 0.41/0.58 SPASS V 3.9
% 0.41/0.58 SPASS beiseite: Proof found.
% 0.41/0.58 % SZS status Theorem
% 0.41/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.58 SPASS derived 882 clauses, backtracked 0 clauses, performed 0 splits and kept 519 clauses.
% 0.41/0.58 SPASS allocated 85582 KBytes.
% 0.41/0.58 SPASS spent 0:00:00.24 on the problem.
% 0.41/0.58 0:00:00.03 for the input.
% 0.41/0.58 0:00:00.03 for the FLOTTER CNF translation.
% 0.41/0.58 0:00:00.01 for inferences.
% 0.41/0.58 0:00:00.00 for the backtracking.
% 0.41/0.58 0:00:00.13 for the reduction.
% 0.41/0.58
% 0.41/0.58
% 0.41/0.58 Here is a proof with depth 3, length 22 :
% 0.41/0.58 % SZS output start Refutation
% See solution above
% 0.41/0.58 Formulae used in the proof : con apart1 ceq3 con2 cu1
% 0.41/0.58
%------------------------------------------------------------------------------