TSTP Solution File: GEO187+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:23:08 EDT 2022
% Result : Theorem 0.42s 0.58s
% Output : Refutation 0.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 18
% Syntax : Number of clauses : 43 ( 17 unt; 15 nHn; 43 RR)
% Number of literals : 78 ( 0 equ; 29 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 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(5,axiom,
~ convergent_lines(u,u),
file('GEO187+3.p',unknown),
[] ).
cnf(11,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO187+3.p',unknown),
[] ).
cnf(12,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO187+3.p',unknown),
[] ).
cnf(13,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(14,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO187+3.p',unknown),
[] ).
cnf(15,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO187+3.p',unknown),
[] ).
cnf(18,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(19,axiom,
( incident_point_and_line(u,v)
| apart_point_and_line(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(20,axiom,
( orthogonal_lines(u,v)
| unorthogonal_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO187+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO187+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO187+3.p',unknown),
[] ).
cnf(40,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO187+3.p',unknown),
[] ).
cnf(44,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO187+3.p',unknown),
[] ).
cnf(45,axiom,
( ~ incident_point_and_line(skc5,line_connecting(skc7,skc6))
| ~ incident_point_and_line(skc4,line_connecting(skc7,skc6)) ),
file('GEO187+3.p',unknown),
[] ).
cnf(46,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO187+3.p',unknown),
[] ).
cnf(73,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[15,11]),
[iquote('0:Res:15.1,11.0')] ).
cnf(78,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[14,5]),
[iquote('0:Res:14.1,5.0')] ).
cnf(80,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[13,11]),
[iquote('0:Res:13.0,11.0')] ).
cnf(100,plain,
~ parallel_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[80,26]),
[iquote('0:Res:80.0,26.0')] ).
cnf(130,plain,
( parallel_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[18,40]),
[iquote('0:Res:18.1,40.0')] ).
cnf(200,plain,
( convergent_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[80,31]),
[iquote('0:Res:80.0,31.0')] ).
cnf(210,plain,
convergent_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[200,5]),
[iquote('0:Res:200.1,5.0')] ).
cnf(215,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
inference(res,[status(thm),theory(equality)],[19,37]),
[iquote('0:Res:19.1,37.0')] ).
cnf(266,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[73,44]),
[iquote('0:Res:73.0,44.0')] ).
cnf(267,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[78,44]),
[iquote('0:Res:78.0,44.0')] ).
cnf(275,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[73,267]),
[iquote('0:Res:73.0,267.0')] ).
cnf(305,plain,
( ~ convergent_lines(u,v)
| ~ skP1(v,u)
| orthogonal_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,46]),
[iquote('0:Res:20.1,46.0')] ).
cnf(372,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[275,266]),
[iquote('0:Res:275.0,266.0')] ).
cnf(375,plain,
skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[372,267]),
[iquote('0:Res:372.0,267.0')] ).
cnf(428,plain,
( ~ orthogonal_lines(u,v)
| parallel_lines(w,v)
| unorthogonal_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[130,28]),
[iquote('0:Res:130.1,28.0')] ).
cnf(698,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,orthogonal_through_point(w,u)) ),
inference(res,[status(thm),theory(equality)],[215,12]),
[iquote('0:Res:215.2,12.0')] ).
cnf(837,plain,
( ~ skP1(orthogonal_through_point(u,v),u)
| orthogonal_lines(u,orthogonal_through_point(u,v)) ),
inference(res,[status(thm),theory(equality)],[210,305]),
[iquote('0:Res:210.0,305.0')] ).
cnf(844,plain,
orthogonal_lines(u,orthogonal_through_point(u,v)),
inference(mrr,[status(thm)],[837,275]),
[iquote('0:MRR:837.0,275.0')] ).
cnf(1442,plain,
( parallel_lines(u,orthogonal_through_point(v,w))
| unorthogonal_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[844,428]),
[iquote('0:Res:844.0,428.0')] ).
cnf(1453,plain,
unorthogonal_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[1442,100]),
[iquote('0:Res:1442.0,100.0')] ).
cnf(1461,plain,
( ~ convergent_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w))
| ~ skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u) ),
inference(res,[status(thm),theory(equality)],[1453,46]),
[iquote('0:Res:1453.0,46.0')] ).
cnf(1463,plain,
~ convergent_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(mrr,[status(thm)],[1461,375]),
[iquote('0:MRR:1461.1,375.0')] ).
cnf(1470,plain,
~ distinct_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[21,1463]),
[iquote('0:Res:21.1,1463.0')] ).
cnf(1500,plain,
incident_point_and_line(u,v),
inference(res,[status(thm),theory(equality)],[698,1470]),
[iquote('0:Res:698.1,1470.0')] ).
cnf(1501,plain,
$false,
inference(mrr,[status(thm)],[45,1500]),
[iquote('0:MRR:45.1,45.0,1500.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO187+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.33 % Computer : n007.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jun 18 04:53:58 EDT 2022
% 0.14/0.33 % CPUTime :
% 0.42/0.58
% 0.42/0.58 SPASS V 3.9
% 0.42/0.58 SPASS beiseite: Proof found.
% 0.42/0.58 % SZS status Theorem
% 0.42/0.58 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.42/0.58 SPASS derived 1581 clauses, backtracked 0 clauses, performed 0 splits and kept 908 clauses.
% 0.42/0.58 SPASS allocated 98565 KBytes.
% 0.42/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.42/0.58 0:00:00.04 for the input.
% 0.42/0.58 0:00:00.03 for the FLOTTER CNF translation.
% 0.42/0.58 0:00:00.01 for inferences.
% 0.42/0.58 0:00:00.00 for the backtracking.
% 0.42/0.58 0:00:00.12 for the reduction.
% 0.42/0.58
% 0.42/0.58
% 0.42/0.58 Here is a proof with depth 9, length 43 :
% 0.42/0.58 % SZS output start Refutation
% See solution above
% 0.42/0.58 Formulae used in the proof : apart3 ooc1 ooc2 coipo1 cotno1 a3 a4 a5 p1 ax6 ceq2 couo1 con
% 0.42/0.58
%------------------------------------------------------------------------------