%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:23:07 EDT 2022
% Result : Theorem 0.22s 0.57s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 48 ( 22 unt; 21 nHn; 48 RR)
% Number of literals : 90 ( 0 equ; 23 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc6,skc7),
file('GEO186+3.p',unknown),
[] ).
cnf(2,axiom,
incident_point_and_line(skc6,skc5),
file('GEO186+3.p',unknown),
[] ).
cnf(3,axiom,
incident_point_and_line(skc6,skc4),
file('GEO186+3.p',unknown),
[] ).
cnf(4,axiom,
convergent_lines(skc4,skc5),
file('GEO186+3.p',unknown),
[] ).
cnf(6,axiom,
~ distinct_lines(u,u),
file('GEO186+3.p',unknown),
[] ).
cnf(7,axiom,
~ convergent_lines(u,u),
file('GEO186+3.p',unknown),
[] ).
cnf(9,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO186+3.p',unknown),
[] ).
cnf(10,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO186+3.p',unknown),
[] ).
cnf(18,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(19,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ apart_point_and_line(u,v)
| ~ incident_point_and_line(u,v) ),
file('GEO186+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO186+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO186+3.p',unknown),
[] ).
cnf(39,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO186+3.p',unknown),
[] ).
cnf(51,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('GEO186+3.p',unknown),
[] ).
cnf(57,plain,
( distinct_lines(skc5,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[4,39]),
[iquote('0:Res:4.0,39.0')] ).
cnf(61,plain,
~ apart_point_and_line(skc6,skc4),
inference(res,[status(thm),theory(equality)],[3,28]),
[iquote('0:Res:3.0,28.0')] ).
cnf(62,plain,
~ apart_point_and_line(skc6,skc5),
inference(res,[status(thm),theory(equality)],[2,28]),
[iquote('0:Res:2.0,28.0')] ).
cnf(63,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc7,v)
| apart_point_and_line(skc6,v)
| apart_point_and_line(skc6,u) ),
inference(res,[status(thm),theory(equality)],[1,51]),
[iquote('0:Res:1.0,51.0')] ).
cnf(156,plain,
( convergent_lines(skc4,u)
| distinct_lines(u,v)
| distinct_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[57,31]),
[iquote('0:Res:57.0,31.0')] ).
cnf(157,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[18,31]),
[iquote('0:Res:18.1,31.0')] ).
cnf(162,plain,
( convergent_lines(skc4,u)
| distinct_lines(skc5,v)
| convergent_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[156,22]),
[iquote('0:Res:156.1,22.0')] ).
cnf(232,plain,
( parallel_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[19,39]),
[iquote('0:Res:19.1,39.0')] ).
cnf(339,plain,
( convergent_lines(skc4,parallel_through_point(u,v))
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[162,9]),
[iquote('0:Res:162.2,9.0')] ).
cnf(347,plain,
( ~ parallel_lines(skc4,parallel_through_point(u,v))
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[339,27]),
[iquote('0:Res:339.0,27.0')] ).
cnf(435,plain,
( equal_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[157,6]),
[iquote('0:Res:157.2,6.0')] ).
cnf(446,plain,
( equal_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[435,22]),
[iquote('0:Res:435.1,22.0')] ).
cnf(448,plain,
equal_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[446,9]),
[iquote('0:Res:446.1,9.0')] ).
cnf(590,plain,
( parallel_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[232,7]),
[iquote('0:Res:232.2,7.0')] ).
cnf(601,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[590,22]),
[iquote('0:Res:590.1,22.0')] ).
cnf(603,plain,
parallel_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[601,9]),
[iquote('0:Res:601.1,9.0')] ).
cnf(608,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[603,347]),
[iquote('0:Res:603.0,347.0')] ).
cnf(874,plain,
( apart_point_and_line(skc7,skc5)
| apart_point_and_line(skc7,skc4)
| apart_point_and_line(skc6,skc4)
| apart_point_and_line(skc6,skc5) ),
inference(res,[status(thm),theory(equality)],[608,63]),
[iquote('0:Res:608.0,63.0')] ).
cnf(875,plain,
( apart_point_and_line(skc7,skc5)
| apart_point_and_line(skc7,skc4) ),
inference(mrr,[status(thm)],[874,61,62]),
[iquote('0:MRR:874.2,874.3,61.0,62.0')] ).
cnf(882,plain,
apart_point_and_line(skc7,skc5),
inference(spt,[spt(split,[position(s1)])],[875]),
[iquote('1:Spt:875.0')] ).
cnf(883,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[882,38]),
[iquote('1:Res:882.0,38.0')] ).
cnf(890,plain,
distinct_lines(skc5,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[883,10]),
[iquote('1:Res:883.1,10.0')] ).
cnf(938,plain,
~ equal_lines(skc5,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[890,26]),
[iquote('1:Res:890.0,26.0')] ).
cnf(940,plain,
$false,
inference(unc,[status(thm)],[938,448]),
[iquote('1:UnC:938.0,448.0')] ).
cnf(941,plain,
~ apart_point_and_line(skc7,skc5),
inference(spt,[spt(split,[position(sa)])],[940,882]),
[iquote('1:Spt:940.0,875.0,882.0')] ).
cnf(942,plain,
apart_point_and_line(skc7,skc4),
inference(spt,[spt(split,[position(s2)])],[875]),
[iquote('1:Spt:940.0,875.1')] ).
cnf(947,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[942,38]),
[iquote('1:Res:942.0,38.0')] ).
cnf(957,plain,
distinct_lines(skc4,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[947,10]),
[iquote('1:Res:947.1,10.0')] ).
cnf(997,plain,
~ equal_lines(skc4,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[957,26]),
[iquote('1:Res:957.0,26.0')] ).
cnf(999,plain,
$false,
inference(unc,[status(thm)],[997,448]),
[iquote('1:UnC:997.0,448.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO186+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.14/0.37 % Computer : n004.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Fri Jun 17 15:30:38 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.57
% 0.22/0.57 SPASS V 3.9
% 0.22/0.57 SPASS beiseite: Proof found.
% 0.22/0.57 % SZS status Theorem
% 0.22/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.57 SPASS derived 925 clauses, backtracked 8 clauses, performed 1 splits and kept 702 clauses.
% 0.22/0.57 SPASS allocated 98218 KBytes.
% 0.22/0.57 SPASS spent 0:00:00.19 on the problem.
% 0.22/0.57 0:00:00.04 for the input.
% 0.22/0.57 0:00:00.03 for the FLOTTER CNF translation.
% 0.22/0.57 0:00:00.01 for inferences.
% 0.22/0.57 0:00:00.00 for the backtracking.
% 0.22/0.57 0:00:00.08 for the reduction.
% 0.22/0.57
% 0.22/0.57
% 0.22/0.57 Here is a proof with depth 11, length 48 :
% 0.22/0.57 % SZS output start Refutation
% See solution above
% 0.22/0.57 Formulae used in the proof : con apart2 apart3 cp1 cp2 ax2 a3 p1 a4 apart5 ceq2 ceq3 cu1
% 0.22/0.57
%------------------------------------------------------------------------------