%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:23:20 EDT 2022
% Result : Theorem 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 8 nHn; 22 RR)
% Number of literals : 48 ( 0 equ; 15 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc3,skc5),
file('GEO202+1.p',unknown),
[] ).
cnf(2,axiom,
distinct_points(skc3,skc4),
file('GEO202+1.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO202+1.p',unknown),
[] ).
cnf(6,axiom,
convergent_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),
file('GEO202+1.p',unknown),
[] ).
cnf(7,axiom,
distinct_points(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),skc3),
file('GEO202+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO202+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO202+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO202+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO202+1.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('GEO202+1.p',unknown),
[] ).
cnf(21,plain,
~ apart_point_and_line(skc3,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[2,11]),
[iquote('0:Res:2.0,11.0')] ).
cnf(25,plain,
~ apart_point_and_line(skc3,line_connecting(skc3,skc5)),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(30,plain,
( distinct_lines(line_connecting(skc3,skc4),u)
| convergent_lines(line_connecting(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[6,17]),
[iquote('0:Res:6.0,17.0')] ).
cnf(31,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),v)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),u) ),
inference(res,[status(thm),theory(equality)],[7,18]),
[iquote('0:Res:7.0,18.0')] ).
cnf(212,plain,
( convergent_lines(line_connecting(skc3,skc5),u)
| apart_point_and_line(skc3,line_connecting(skc3,skc4))
| apart_point_and_line(skc3,u)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),u)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),line_connecting(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[30,31]),
[iquote('0:Res:30.0,31.0')] ).
cnf(215,plain,
( convergent_lines(line_connecting(skc3,skc5),u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),u)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),line_connecting(skc3,skc4)) ),
inference(mrr,[status(thm)],[212,21]),
[iquote('0:MRR:212.1,21.0')] ).
cnf(522,plain,
( convergent_lines(line_connecting(skc3,skc5),u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),u) ),
inference(spt,[spt(split,[position(s1)])],[215]),
[iquote('1:Spt:215.0,215.1,215.2')] ).
cnf(526,plain,
( ~ convergent_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc4))
| convergent_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc5))
| apart_point_and_line(skc3,line_connecting(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[522,13]),
[iquote('1:Res:522.2,13.1')] ).
cnf(529,plain,
$false,
inference(mrr,[status(thm)],[526,6,5,25]),
[iquote('1:MRR:526.0,526.1,526.2,6.0,5.0,25.0')] ).
cnf(530,plain,
apart_point_and_line(intersection_point(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),line_connecting(skc3,skc4)),
inference(spt,[spt(split,[position(s2)])],[215]),
[iquote('1:Spt:529.0,215.3')] ).
cnf(531,plain,
~ convergent_lines(line_connecting(skc3,skc5),line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[530,14]),
[iquote('1:Res:530.0,14.1')] ).
cnf(534,plain,
$false,
inference(mrr,[status(thm)],[531,6]),
[iquote('1:MRR:531.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO202+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.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 21:13:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.50
% 0.20/0.50 SPASS V 3.9
% 0.20/0.50 SPASS beiseite: Proof found.
% 0.20/0.50 % SZS status Theorem
% 0.20/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 SPASS derived 437 clauses, backtracked 3 clauses, performed 1 splits and kept 242 clauses.
% 0.20/0.50 SPASS allocated 85435 KBytes.
% 0.20/0.50 SPASS spent 0:00:00.14 on the problem.
% 0.20/0.50 0:00:00.04 for the input.
% 0.20/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.50 0:00:00.01 for inferences.
% 0.20/0.50 0:00:00.00 for the backtracking.
% 0.20/0.50 0:00:00.04 for the reduction.
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 Here is a proof with depth 4, length 22 :
% 0.20/0.50 % SZS output start Refutation
% See solution above
% 0.20/0.50 Formulae used in the proof : con apart3 ci1 ci3 ci4 ceq3 cu1
% 0.20/0.50
%------------------------------------------------------------------------------