TSTP Solution File: GEO175+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 06:22:57 EDT 2022
% Result : Theorem 0.18s 0.49s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of clauses : 36 ( 16 unt; 18 nHn; 36 RR)
% Number of literals : 71 ( 0 equ; 18 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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('GEO175+3.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc4,skc5),
file('GEO175+3.p',unknown),
[] ).
cnf(3,axiom,
~ apart_point_and_line(skc6,skc5),
file('GEO175+3.p',unknown),
[] ).
cnf(4,axiom,
~ apart_point_and_line(skc6,skc4),
file('GEO175+3.p',unknown),
[] ).
cnf(7,axiom,
~ convergent_lines(u,u),
file('GEO175+3.p',unknown),
[] ).
cnf(9,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO175+3.p',unknown),
[] ).
cnf(10,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO175+3.p',unknown),
[] ).
cnf(19,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO175+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO175+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO175+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO175+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO175+3.p',unknown),
[] ).
cnf(39,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO175+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('GEO175+3.p',unknown),
[] ).
cnf(57,plain,
( distinct_lines(skc5,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[2,39]),
[iquote('0:Res:2.0,39.0')] ).
cnf(77,plain,
( ~ distinct_lines(skc5,u)
| ~ distinct_points(skc6,v)
| apart_point_and_line(v,u)
| apart_point_and_line(v,skc5)
| apart_point_and_line(skc6,u) ),
inference(res,[status(thm),theory(equality)],[51,3]),
[iquote('0:Res:51.2,3.0')] ).
cnf(92,plain,
( ~ distinct_lines(skc5,u)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc6,u)
| apart_point_and_line(skc7,skc5) ),
inference(res,[status(thm),theory(equality)],[1,77]),
[iquote('0:Res:1.0,77.0')] ).
cnf(143,plain,
( ~ distinct_lines(skc5,u)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc6,u) ),
inference(spt,[spt(split,[position(s1)])],[92]),
[iquote('1:Spt:92.0,92.1,92.2')] ).
cnf(148,plain,
( convergent_lines(skc4,u)
| apart_point_and_line(skc7,u)
| apart_point_and_line(skc6,u) ),
inference(res,[status(thm),theory(equality)],[57,143]),
[iquote('1:Res:57.0,143.0')] ).
cnf(282,plain,
( convergent_lines(skc4,skc4)
| apart_point_and_line(skc7,skc4) ),
inference(res,[status(thm),theory(equality)],[148,4]),
[iquote('1:Res:148.2,4.0')] ).
cnf(292,plain,
apart_point_and_line(skc7,skc4),
inference(mrr,[status(thm)],[282,7]),
[iquote('1:MRR:282.0,7.0')] ).
cnf(339,plain,
( parallel_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[19,32]),
[iquote('0:Res:19.1,32.0')] ).
cnf(467,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[292,38]),
[iquote('1:Res:292.0,38.0')] ).
cnf(474,plain,
( apart_point_and_line(skc7,u)
| convergent_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[467,22]),
[iquote('1:Res:467.0,22.0')] ).
cnf(477,plain,
convergent_lines(skc4,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[474,10]),
[iquote('1:Res:474.0,10.0')] ).
cnf(491,plain,
( convergent_lines(parallel_through_point(u,skc7),v)
| convergent_lines(skc4,v) ),
inference(res,[status(thm),theory(equality)],[477,32]),
[iquote('1:Res:477.0,32.0')] ).
cnf(573,plain,
convergent_lines(skc4,u),
inference(res,[status(thm),theory(equality)],[491,9]),
[iquote('1:Res:491.0,9.0')] ).
cnf(578,plain,
$false,
inference(unc,[status(thm)],[573,7]),
[iquote('1:UnC:573.0,7.0')] ).
cnf(579,plain,
apart_point_and_line(skc7,skc5),
inference(spt,[spt(split,[position(s2)])],[92]),
[iquote('1:Spt:578.0,92.3')] ).
cnf(580,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[579,38]),
[iquote('1:Res:579.0,38.0')] ).
cnf(607,plain,
( apart_point_and_line(skc7,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[580,22]),
[iquote('1:Res:580.0,22.0')] ).
cnf(624,plain,
convergent_lines(skc5,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[607,10]),
[iquote('1:Res:607.0,10.0')] ).
cnf(643,plain,
~ parallel_lines(skc5,parallel_through_point(u,skc7)),
inference(res,[status(thm),theory(equality)],[624,27]),
[iquote('1:Res:624.0,27.0')] ).
cnf(714,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[339,7]),
[iquote('0:Res:339.2,7.0')] ).
cnf(721,plain,
parallel_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[714,9]),
[iquote('0:Res:714.1,9.0')] ).
cnf(726,plain,
$false,
inference(unc,[status(thm)],[721,643]),
[iquote('1:UnC:721.0,643.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GEO175+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n023.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 : Sat Jun 18 12:48:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.49
% 0.18/0.49 SPASS V 3.9
% 0.18/0.49 SPASS beiseite: Proof found.
% 0.18/0.49 % SZS status Theorem
% 0.18/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.49 SPASS derived 642 clauses, backtracked 6 clauses, performed 6 splits and kept 488 clauses.
% 0.18/0.49 SPASS allocated 98031 KBytes.
% 0.18/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.18/0.49 0:00:00.04 for the input.
% 0.18/0.49 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.49 0:00:00.01 for inferences.
% 0.18/0.49 0:00:00.00 for the backtracking.
% 0.18/0.49 0:00:00.04 for the reduction.
% 0.18/0.49
% 0.18/0.49
% 0.18/0.49 Here is a proof with depth 10, length 36 :
% 0.18/0.49 % SZS output start Refutation
% See solution above
% 0.18/0.49 Formulae used in the proof : con apart3 cp1 cp2 a3 p1 ax6 ceq2 ceq3 cu1
% 0.18/0.49
%------------------------------------------------------------------------------