%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 30 ( 13 unt; 14 nHn; 30 RR)
% Number of literals : 63 ( 0 equ; 21 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+1.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc4,skc3),
file('GEO197+1.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO197+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc4,skc3),skc5),
file('GEO197+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO197+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO197+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO197+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO197+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO197+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO197+1.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+1.p',unknown),
[] ).
cnf(20,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[3,11]),
[iquote('0:Res:3.0,11.0')] ).
cnf(21,plain,
~ apart_point_and_line(intersection_point(skc4,skc3),skc4),
inference(res,[status(thm),theory(equality)],[3,14]),
[iquote('0:Res:3.0,14.0')] ).
cnf(22,plain,
~ apart_point_and_line(intersection_point(skc4,skc3),skc3),
inference(res,[status(thm),theory(equality)],[3,15]),
[iquote('0:Res:3.0,15.0')] ).
cnf(29,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(30,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(32,plain,
( apart_point_and_line(u,skc5)
| distinct_points(intersection_point(skc4,skc3),u) ),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.0,16.0')] ).
cnf(39,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(89,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[20,11]),
[iquote('0:Res:20.0,11.0')] ).
cnf(176,plain,
( convergent_lines(skc4,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[89,6]),
[iquote('0:Res:89.2,6.0')] ).
cnf(179,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[176,11]),
[iquote('0:Res:176.0,11.0')] ).
cnf(235,plain,
( ~ distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc5,skc3),skc5)
| 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)],[32,39]),
[iquote('0:Res:32.1,39.0')] ).
cnf(236,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)],[235,29,21]),
[iquote('0:MRR:235.1,235.3,29.0,21.0')] ).
cnf(301,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[179,6]),
[iquote('0:Res:179.2,6.0')] ).
cnf(307,plain,
convergent_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[301,6]),
[iquote('0:Res:301.0,6.0')] ).
cnf(311,plain,
( distinct_lines(skc4,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[307,18]),
[iquote('0:Res:307.0,18.0')] ).
cnf(485,plain,
( ~ distinct_lines(skc4,skc3)
| apart_point_and_line(intersection_point(skc5,skc3),skc3) ),
inference(res,[status(thm),theory(equality)],[236,22]),
[iquote('0:Res:236.1,22.0')] ).
cnf(494,plain,
~ distinct_lines(skc4,skc3),
inference(mrr,[status(thm)],[485,30]),
[iquote('0:MRR:485.1,30.0')] ).
cnf(496,plain,
convergent_lines(skc3,skc3),
inference(res,[status(thm),theory(equality)],[311,494]),
[iquote('0:Res:311.0,494.0')] ).
cnf(517,plain,
$false,
inference(mrr,[status(thm)],[496,6]),
[iquote('0:MRR:496.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO197+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n019.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 10:20:54 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 467 clauses, backtracked 0 clauses, performed 0 splits and kept 288 clauses.
% 0.19/0.49 SPASS allocated 85336 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.49 0:00:00.03 for the input.
% 0.19/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.01 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.05 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 8, length 30 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : con apart3 ax6 ci3 ci4 ceq1 ceq3 cu1
% 0.19/0.49
%------------------------------------------------------------------------------