TSTP Solution File: GEO201+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO201+1 : 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 06:23:19 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 8
% Syntax : Number of clauses : 31 ( 16 unt; 13 nHn; 31 RR)
% Number of literals : 60 ( 0 equ; 15 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc2,skc3),
file('GEO201+1.p',unknown),
[] ).
cnf(4,axiom,
~ convergent_lines(u,u),
file('GEO201+1.p',unknown),
[] ).
cnf(5,axiom,
distinct_points(intersection_point(skc2,skc3),intersection_point(skc3,skc2)),
file('GEO201+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO201+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO201+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO201+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO201+1.p',unknown),
[] ).
cnf(16,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('GEO201+1.p',unknown),
[] ).
cnf(17,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc2,u) ),
inference(res,[status(thm),theory(equality)],[1,8]),
[iquote('0:Res:1.0,8.0')] ).
cnf(18,plain,
~ apart_point_and_line(intersection_point(skc2,skc3),skc2),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(19,plain,
~ apart_point_and_line(intersection_point(skc2,skc3),skc3),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(21,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(intersection_point(skc3,skc2),u)
| apart_point_and_line(intersection_point(skc3,skc2),v)
| apart_point_and_line(intersection_point(skc2,skc3),v)
| apart_point_and_line(intersection_point(skc2,skc3),u) ),
inference(res,[status(thm),theory(equality)],[5,16]),
[iquote('0:Res:5.0,16.0')] ).
cnf(26,plain,
convergent_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[17,4]),
[iquote('0:Res:17.1,4.0')] ).
cnf(47,plain,
( convergent_lines(skc3,u)
| convergent_lines(u,v)
| convergent_lines(skc2,v) ),
inference(res,[status(thm),theory(equality)],[17,8]),
[iquote('0:Res:17.1,8.0')] ).
cnf(62,plain,
( convergent_lines(skc3,u)
| convergent_lines(u,skc2) ),
inference(res,[status(thm),theory(equality)],[47,4]),
[iquote('0:Res:47.2,4.0')] ).
cnf(65,plain,
( convergent_lines(u,skc2)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[62,8]),
[iquote('0:Res:62.0,8.0')] ).
cnf(79,plain,
( convergent_lines(u,skc2)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[65,4]),
[iquote('0:Res:65.2,4.0')] ).
cnf(87,plain,
( convergent_lines(u,skc3)
| distinct_lines(skc2,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[79,15]),
[iquote('0:Res:79.0,15.0')] ).
cnf(127,plain,
( distinct_lines(skc2,skc3)
| convergent_lines(u,skc3) ),
inference(fac,[status(thm)],[87]),
[iquote('0:Fac:87.0,87.2')] ).
cnf(136,plain,
convergent_lines(u,skc3),
inference(spt,[spt(split,[position(s1)])],[127]),
[iquote('1:Spt:127.1')] ).
cnf(137,plain,
$false,
inference(unc,[status(thm)],[136,4]),
[iquote('1:UnC:136.0,4.0')] ).
cnf(138,plain,
distinct_lines(skc2,skc3),
inference(spt,[spt(split,[position(s2)])],[127]),
[iquote('1:Spt:137.0,127.0')] ).
cnf(153,plain,
( apart_point_and_line(intersection_point(skc3,skc2),skc2)
| apart_point_and_line(intersection_point(skc3,skc2),skc3)
| apart_point_and_line(intersection_point(skc2,skc3),skc3)
| apart_point_and_line(intersection_point(skc2,skc3),skc2) ),
inference(res,[status(thm),theory(equality)],[138,21]),
[iquote('1:Res:138.0,21.0')] ).
cnf(154,plain,
( apart_point_and_line(intersection_point(skc3,skc2),skc2)
| apart_point_and_line(intersection_point(skc3,skc2),skc3) ),
inference(mrr,[status(thm)],[153,19,18]),
[iquote('1:MRR:153.2,153.3,19.0,18.0')] ).
cnf(319,plain,
apart_point_and_line(intersection_point(skc3,skc2),skc2),
inference(spt,[spt(split,[position(s2s1)])],[154]),
[iquote('2:Spt:154.0')] ).
cnf(320,plain,
~ convergent_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[319,12]),
[iquote('2:Res:319.0,12.1')] ).
cnf(323,plain,
$false,
inference(mrr,[status(thm)],[320,26]),
[iquote('2:MRR:320.0,26.0')] ).
cnf(324,plain,
~ apart_point_and_line(intersection_point(skc3,skc2),skc2),
inference(spt,[spt(split,[position(s2sa)])],[323,319]),
[iquote('2:Spt:323.0,154.0,319.0')] ).
cnf(325,plain,
apart_point_and_line(intersection_point(skc3,skc2),skc3),
inference(spt,[spt(split,[position(s2s2)])],[154]),
[iquote('2:Spt:323.0,154.1')] ).
cnf(337,plain,
~ convergent_lines(skc3,skc2),
inference(res,[status(thm),theory(equality)],[325,11]),
[iquote('2:Res:325.0,11.1')] ).
cnf(340,plain,
$false,
inference(mrr,[status(thm)],[337,26]),
[iquote('2:MRR:337.0,26.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO201+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 15:47:22 EDT 2022
% 0.13/0.34 % 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 271 clauses, backtracked 19 clauses, performed 2 splits and kept 195 clauses.
% 0.19/0.49 SPASS allocated 85279 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.49 0:00:00.04 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 0:00:00.03 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 11, length 31 :
% 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 ceq3 cu1
% 0.19/0.49
%------------------------------------------------------------------------------