%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n005.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 06:23:28 EDT 2022
% Result : Theorem 0.37s 0.55s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 51 ( 24 unt; 14 nHn; 51 RR)
% Number of literals : 85 ( 0 equ; 33 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 8 ( 7 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(2,axiom,
orthogonal_lines(skc3,skc4),
file('GEO210+3.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO210+3.p',unknown),
[] ).
cnf(6,axiom,
~ equal_lines(skc3,orthogonal_through_point(skc4,skc5)),
file('GEO210+3.p',unknown),
[] ).
cnf(10,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO210+3.p',unknown),
[] ).
cnf(12,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(13,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO210+3.p',unknown),
[] ).
cnf(14,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO210+3.p',unknown),
[] ).
cnf(16,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(17,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO210+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO210+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO210+3.p',unknown),
[] ).
cnf(39,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO210+3.p',unknown),
[] ).
cnf(43,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO210+3.p',unknown),
[] ).
cnf(44,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO210+3.p',unknown),
[] ).
cnf(50,plain,
~ unorthogonal_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(52,plain,
distinct_lines(skc3,orthogonal_through_point(skc4,skc5)),
inference(res,[status(thm),theory(equality)],[16,6]),
[iquote('0:Res:16.1,6.0')] ).
cnf(59,plain,
skP1(skc4,skc3),
inference(res,[status(thm),theory(equality)],[14,50]),
[iquote('0:Res:14.1,50.0')] ).
cnf(60,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[14,10]),
[iquote('0:Res:14.1,10.0')] ).
cnf(63,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[13,5]),
[iquote('0:Res:13.1,5.0')] ).
cnf(65,plain,
convergent_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[12,50]),
[iquote('0:Res:12.0,50.0')] ).
cnf(66,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[12,10]),
[iquote('0:Res:12.0,10.0')] ).
cnf(72,plain,
( ~ distinct_lines(u,v)
| ~ parallel_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,25]),
[iquote('0:Res:20.1,25.0')] ).
cnf(102,plain,
( unorthogonal_lines(u,v)
| unorthogonal_lines(u,orthogonal_through_point(v,w)) ),
inference(res,[status(thm),theory(equality)],[66,39]),
[iquote('0:Res:66.0,39.0')] ).
cnf(103,plain,
( ~ distinct_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[20,39]),
[iquote('0:Res:20.1,39.0')] ).
cnf(107,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[102,10]),
[iquote('0:Res:102.1,10.0')] ).
cnf(112,plain,
( distinct_lines(skc4,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[65,37]),
[iquote('0:Res:65.0,37.0')] ).
cnf(116,plain,
( ~ parallel_lines(skc3,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[112,25]),
[iquote('0:Res:112.1,25.0')] ).
cnf(124,plain,
( ~ parallel_lines(skc3,u)
| ~ parallel_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[116,72]),
[iquote('0:Res:116.1,72.0')] ).
cnf(136,plain,
( parallel_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[17,30]),
[iquote('0:Res:17.1,30.0')] ).
cnf(169,plain,
( ~ skP1(u,orthogonal_through_point(v,w))
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[60,43]),
[iquote('0:Res:60.0,43.0')] ).
cnf(170,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[63,43]),
[iquote('0:Res:63.0,43.0')] ).
cnf(175,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[60,170]),
[iquote('0:Res:60.0,170.0')] ).
cnf(178,plain,
skP1(skc3,skc4),
inference(res,[status(thm),theory(equality)],[59,170]),
[iquote('0:Res:59.0,170.0')] ).
cnf(180,plain,
( ~ skP1(u,skc4)
| skP1(skc3,u) ),
inference(res,[status(thm),theory(equality)],[178,43]),
[iquote('0:Res:178.0,43.0')] ).
cnf(185,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)],[107,44]),
[iquote('0:Res:107.0,44.0')] ).
cnf(427,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[136,5]),
[iquote('0:Res:136.2,5.0')] ).
cnf(458,plain,
( unorthogonal_lines(u,orthogonal_through_point(skc4,skc5))
| unorthogonal_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[52,103]),
[iquote('0:Res:52.0,103.0')] ).
cnf(470,plain,
unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(skc4,skc5),u),skc3),
inference(res,[status(thm),theory(equality)],[458,10]),
[iquote('0:Res:458.0,10.0')] ).
cnf(472,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(skc4,skc5),u),skc3)
| ~ skP1(skc3,orthogonal_through_point(orthogonal_through_point(skc4,skc5),u)) ),
inference(res,[status(thm),theory(equality)],[470,44]),
[iquote('0:Res:470.0,44.0')] ).
cnf(657,plain,
skP1(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[175,169]),
[iquote('0:Res:175.0,169.0')] ).
cnf(665,plain,
~ convergent_lines(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(mrr,[status(thm)],[185,657]),
[iquote('0:MRR:185.1,657.0')] ).
cnf(690,plain,
skP1(orthogonal_through_point(orthogonal_through_point(u,v),w),u),
inference(res,[status(thm),theory(equality)],[657,170]),
[iquote('0:Res:657.0,170.0')] ).
cnf(778,plain,
skP1(skc3,orthogonal_through_point(orthogonal_through_point(skc4,u),v)),
inference(res,[status(thm),theory(equality)],[690,180]),
[iquote('0:Res:690.0,180.0')] ).
cnf(779,plain,
~ convergent_lines(orthogonal_through_point(orthogonal_through_point(skc4,skc5),u),skc3),
inference(mrr,[status(thm)],[472,778]),
[iquote('0:MRR:472.1,778.0')] ).
cnf(899,plain,
parallel_lines(skc3,orthogonal_through_point(orthogonal_through_point(skc4,skc5),u)),
inference(res,[status(thm),theory(equality)],[427,779]),
[iquote('0:Res:427.1,779.0')] ).
cnf(946,plain,
~ parallel_lines(skc4,orthogonal_through_point(orthogonal_through_point(skc4,skc5),u)),
inference(res,[status(thm),theory(equality)],[899,124]),
[iquote('0:Res:899.0,124.0')] ).
cnf(1155,plain,
parallel_lines(u,orthogonal_through_point(orthogonal_through_point(u,v),w)),
inference(res,[status(thm),theory(equality)],[427,665]),
[iquote('0:Res:427.1,665.0')] ).
cnf(1174,plain,
$false,
inference(unc,[status(thm)],[1155,946]),
[iquote('0:UnC:1155.0,946.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO210+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n005.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Fri Jun 17 18:11:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.37/0.55
% 0.37/0.55 SPASS V 3.9
% 0.37/0.55 SPASS beiseite: Proof found.
% 0.37/0.55 % SZS status Theorem
% 0.37/0.55 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.37/0.55 SPASS derived 1118 clauses, backtracked 0 clauses, performed 0 splits and kept 653 clauses.
% 0.37/0.55 SPASS allocated 98303 KBytes.
% 0.37/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.37/0.55 0:00:00.04 for the input.
% 0.37/0.55 0:00:00.03 for the FLOTTER CNF translation.
% 0.37/0.55 0:00:00.01 for inferences.
% 0.37/0.55 0:00:00.00 for the backtracking.
% 0.37/0.55 0:00:00.09 for the reduction.
% 0.37/0.55
% 0.37/0.55
% 0.37/0.55 Here is a proof with depth 6, length 51 :
% 0.37/0.55 % SZS output start Refutation
% See solution above
% 0.37/0.55 Formulae used in the proof : con apart3 ooc1 coipo1 cotno1 ax2 a3 p1 a5 ax6 ceq3 couo1
% 0.37/0.55
%------------------------------------------------------------------------------