TSTP Solution File: GEO204+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:23 EDT 2022
% Result : Theorem 0.37s 0.59s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 19
% Syntax : Number of clauses : 44 ( 16 unt; 18 nHn; 44 RR)
% Number of literals : 89 ( 0 equ; 29 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 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,
distinct_points(skc5,skc3),
file('GEO204+3.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO204+3.p',unknown),
[] ).
cnf(9,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO204+3.p',unknown),
[] ).
cnf(10,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO204+3.p',unknown),
[] ).
cnf(11,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(12,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO204+3.p',unknown),
[] ).
cnf(13,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO204+3.p',unknown),
[] ).
cnf(16,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(17,axiom,
( incident_point_and_line(u,v)
| apart_point_and_line(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ apart_point_and_line(u,v)
| ~ incident_point_and_line(u,v) ),
file('GEO204+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO204+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO204+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO204+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO204+3.p',unknown),
[] ).
cnf(42,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO204+3.p',unknown),
[] ).
cnf(44,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO204+3.p',unknown),
[] ).
cnf(49,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('GEO204+3.p',unknown),
[] ).
cnf(51,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc5,v)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,49]),
[iquote('0:Res:1.0,49.0')] ).
cnf(66,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[13,9]),
[iquote('0:Res:13.1,9.0')] ).
cnf(71,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[12,5]),
[iquote('0:Res:12.1,5.0')] ).
cnf(73,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[11,9]),
[iquote('0:Res:11.0,9.0')] ).
cnf(87,plain,
( ~ distinct_lines(u,v)
| ~ parallel_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[19,24]),
[iquote('0:Res:19.1,24.0')] ).
cnf(114,plain,
( unorthogonal_lines(u,v)
| unorthogonal_lines(u,orthogonal_through_point(v,w)) ),
inference(res,[status(thm),theory(equality)],[73,38]),
[iquote('0:Res:73.0,38.0')] ).
cnf(118,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[114,9]),
[iquote('0:Res:114.1,9.0')] ).
cnf(161,plain,
( distinct_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[73,36]),
[iquote('0:Res:73.0,36.0')] ).
cnf(179,plain,
( parallel_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[16,29]),
[iquote('0:Res:16.1,29.0')] ).
cnf(181,plain,
distinct_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[161,5]),
[iquote('0:Res:161.1,5.0')] ).
cnf(189,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
inference(res,[status(thm),theory(equality)],[17,35]),
[iquote('0:Res:17.1,35.0')] ).
cnf(241,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[66,42]),
[iquote('0:Res:66.0,42.0')] ).
cnf(242,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[71,42]),
[iquote('0:Res:71.0,42.0')] ).
cnf(251,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[66,242]),
[iquote('0:Res:66.0,242.0')] ).
cnf(254,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u)
| ~ skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)) ),
inference(res,[status(thm),theory(equality)],[118,44]),
[iquote('0:Res:118.0,44.0')] ).
cnf(623,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[179,5]),
[iquote('0:Res:179.2,5.0')] ).
cnf(656,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,orthogonal_through_point(w,u)) ),
inference(res,[status(thm),theory(equality)],[189,10]),
[iquote('0:Res:189.2,10.0')] ).
cnf(823,plain,
( ~ parallel_lines(u,orthogonal_through_point(v,w))
| incident_point_and_line(w,u) ),
inference(res,[status(thm),theory(equality)],[656,87]),
[iquote('0:Res:656.1,87.0')] ).
cnf(905,plain,
( apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,orthogonal_through_point(u,v))
| apart_point_and_line(skc5,orthogonal_through_point(u,v))
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[181,51]),
[iquote('0:Res:181.0,51.0')] ).
cnf(1036,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[251,241]),
[iquote('0:Res:251.0,241.0')] ).
cnf(1040,plain,
~ convergent_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(mrr,[status(thm)],[254,1036]),
[iquote('0:MRR:254.1,1036.0')] ).
cnf(1122,plain,
parallel_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[623,1040]),
[iquote('0:Res:623.1,1040.0')] ).
cnf(1587,plain,
incident_point_and_line(u,v),
inference(res,[status(thm),theory(equality)],[1122,823]),
[iquote('0:Res:1122.0,823.0')] ).
cnf(1593,plain,
~ apart_point_and_line(u,v),
inference(mrr,[status(thm)],[25,1587]),
[iquote('0:MRR:25.1,1587.0')] ).
cnf(1657,plain,
$false,
inference(mrr,[status(thm)],[905,1593]),
[iquote('0:MRR:905.2,905.1,905.3,905.0,1593.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO204+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n019.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 14:17:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.59
% 0.37/0.59 SPASS V 3.9
% 0.37/0.59 SPASS beiseite: Proof found.
% 0.37/0.59 % SZS status Theorem
% 0.37/0.59 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.59 SPASS derived 1678 clauses, backtracked 0 clauses, performed 0 splits and kept 915 clauses.
% 0.37/0.59 SPASS allocated 98624 KBytes.
% 0.37/0.59 SPASS spent 0:00:00.24 on the problem.
% 0.37/0.59 0:00:00.04 for the input.
% 0.37/0.59 0:00:00.03 for the FLOTTER CNF translation.
% 0.37/0.59 0:00:00.02 for inferences.
% 0.37/0.59 0:00:00.00 for the backtracking.
% 0.37/0.59 0:00:00.13 for the reduction.
% 0.37/0.59
% 0.37/0.59
% 0.37/0.59 Here is a proof with depth 6, length 44 :
% 0.37/0.59 % SZS output start Refutation
% See solution above
% 0.37/0.59 Formulae used in the proof : con apart3 ooc1 ooc2 coipo1 cotno1 a3 a4 p1 ax6 ceq2 ceq3 couo1 cu1
% 0.37/0.59
%------------------------------------------------------------------------------