%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:23:37 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 35 ( 14 unt; 12 nHn; 35 RR)
% Number of literals : 63 ( 0 equ; 24 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 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(3,axiom,
~ convergent_lines(u,u),
file('GEO221+3.p',unknown),
[] ).
cnf(8,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO221+3.p',unknown),
[] ).
cnf(10,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(11,axiom,
( skP1(u,v)
| convergent_lines(v,u) ),
file('GEO221+3.p',unknown),
[] ).
cnf(12,axiom,
( skP1(u,v)
| unorthogonal_lines(v,u) ),
file('GEO221+3.p',unknown),
[] ).
cnf(14,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(15,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(17,axiom,
( orthogonal_lines(u,v)
| unorthogonal_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(18,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(21,axiom,
~ equal_lines(orthogonal_through_point(skc5,skc3),orthogonal_through_point(skc5,skc4)),
file('GEO221+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ unorthogonal_lines(u,v)
| ~ orthogonal_lines(u,v) ),
file('GEO221+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO221+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ convergent_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
file('GEO221+3.p',unknown),
[] ).
cnf(42,axiom,
( ~ skP1(u,v)
| ~ skP1(w,v)
| skP1(u,w) ),
file('GEO221+3.p',unknown),
[] ).
cnf(43,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| ~ skP1(v,u) ),
file('GEO221+3.p',unknown),
[] ).
cnf(50,plain,
distinct_lines(orthogonal_through_point(skc5,skc3),orthogonal_through_point(skc5,skc4)),
inference(res,[status(thm),theory(equality)],[14,21]),
[iquote('0:Res:14.1,21.0')] ).
cnf(57,plain,
skP1(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[12,8]),
[iquote('0:Res:12.1,8.0')] ).
cnf(60,plain,
skP1(u,u),
inference(res,[status(thm),theory(equality)],[11,3]),
[iquote('0:Res:11.1,3.0')] ).
cnf(62,plain,
convergent_lines(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[10,8]),
[iquote('0:Res:10.0,8.0')] ).
cnf(73,plain,
( ~ distinct_lines(u,v)
| ~ parallel_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[18,24]),
[iquote('0:Res:18.1,24.0')] ).
cnf(83,plain,
~ parallel_lines(orthogonal_through_point(skc5,skc3),orthogonal_through_point(skc5,skc4)),
inference(res,[status(thm),theory(equality)],[50,73]),
[iquote('0:Res:50.0,73.0')] ).
cnf(107,plain,
( parallel_lines(u,v)
| unorthogonal_lines(w,v)
| unorthogonal_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[15,38]),
[iquote('0:Res:15.1,38.0')] ).
cnf(135,plain,
( convergent_lines(u,v)
| convergent_lines(orthogonal_through_point(u,w),v) ),
inference(res,[status(thm),theory(equality)],[62,29]),
[iquote('0:Res:62.0,29.0')] ).
cnf(144,plain,
convergent_lines(u,orthogonal_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[135,3]),
[iquote('0:Res:135.1,3.0')] ).
cnf(164,plain,
( ~ skP1(u,v)
| skP1(v,u) ),
inference(res,[status(thm),theory(equality)],[60,42]),
[iquote('0:Res:60.0,42.0')] ).
cnf(167,plain,
skP1(orthogonal_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[57,164]),
[iquote('0:Res:57.0,164.0')] ).
cnf(184,plain,
( ~ convergent_lines(u,v)
| ~ skP1(v,u)
| orthogonal_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[17,43]),
[iquote('0:Res:17.1,43.0')] ).
cnf(284,plain,
( ~ orthogonal_lines(u,v)
| parallel_lines(w,v)
| unorthogonal_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[107,26]),
[iquote('0:Res:107.1,26.0')] ).
cnf(569,plain,
( ~ skP1(orthogonal_through_point(u,v),u)
| orthogonal_lines(u,orthogonal_through_point(u,v)) ),
inference(res,[status(thm),theory(equality)],[144,184]),
[iquote('0:Res:144.0,184.0')] ).
cnf(576,plain,
orthogonal_lines(u,orthogonal_through_point(u,v)),
inference(mrr,[status(thm)],[569,167]),
[iquote('0:MRR:569.0,167.0')] ).
cnf(825,plain,
( parallel_lines(u,orthogonal_through_point(v,w))
| unorthogonal_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[576,284]),
[iquote('0:Res:576.0,284.0')] ).
cnf(837,plain,
unorthogonal_lines(skc5,orthogonal_through_point(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[825,83]),
[iquote('0:Res:825.0,83.0')] ).
cnf(844,plain,
~ orthogonal_lines(skc5,orthogonal_through_point(skc5,skc3)),
inference(res,[status(thm),theory(equality)],[837,26]),
[iquote('0:Res:837.0,26.0')] ).
cnf(845,plain,
$false,
inference(mrr,[status(thm)],[844,576]),
[iquote('0:MRR:844.0,576.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO221+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n008.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 : Sat Jun 18 18:41:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 781 clauses, backtracked 0 clauses, performed 0 splits and kept 470 clauses.
% 0.19/0.50 SPASS allocated 98145 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.05 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 7, length 35 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : apart3 ooc1 coipo1 cotno1 ax2 a3 a5 p1 con ax6 couo1
% 0.19/0.50
%------------------------------------------------------------------------------