%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 06:23:43 EDT 2022
% Result : Theorem 1.06s 1.32s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of clauses : 44 ( 15 unt; 23 nHn; 44 RR)
% Number of literals : 100 ( 0 equ; 29 neg)
% Maximal clause size : 10 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc2,skc3),
file('GEO230+1.p',unknown),
[] ).
cnf(4,axiom,
~ unequally_directed_lines(u,u),
file('GEO230+1.p',unknown),
[] ).
cnf(5,axiom,
~ left_apart_point(u,v),
file('GEO230+1.p',unknown),
[] ).
cnf(6,axiom,
~ left_convergent_lines(u,v),
file('GEO230+1.p',unknown),
[] ).
cnf(20,axiom,
~ unequally_directed_lines(line_connecting(u,v),reverse_line(line_connecting(v,u))),
file('GEO230+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO230+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ unequally_directed_lines(u,line_connecting(v,w))
| ~ before_on_line(u,v,w) ),
file('GEO230+1.p',unknown),
[] ).
cnf(43,axiom,
( distinct_lines(line_connecting(skc2,skc3),line_connecting(skc3,skc2))
| unequally_directed_lines(line_connecting(skc3,skc2),line_connecting(skc2,skc3)) ),
file('GEO230+1.p',unknown),
[] ).
cnf(54,axiom,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v))
| left_convergent_lines(u,v)
| left_convergent_lines(u,reverse_line(v)) ),
file('GEO230+1.p',unknown),
[] ).
cnf(57,axiom,
( ~ distinct_points(u,v)
| left_apart_point(u,w)
| left_apart_point(u,reverse_line(w))
| left_apart_point(v,w)
| left_apart_point(v,reverse_line(w))
| unequally_directed_lines(w,line_connecting(u,v))
| before_on_line(w,u,v) ),
file('GEO230+1.p',unknown),
[] ).
cnf(58,axiom,
( ~ distinct_points(u,v)
| ~ distinct_lines(w,x)
| left_apart_point(u,w)
| left_apart_point(u,x)
| left_apart_point(u,reverse_line(w))
| left_apart_point(u,reverse_line(x))
| left_apart_point(v,reverse_line(x))
| left_apart_point(v,reverse_line(w))
| left_apart_point(v,x)
| left_apart_point(v,w) ),
file('GEO230+1.p',unknown),
[] ).
cnf(61,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[54,6]),
[iquote('0:MRR:54.2,54.3,6.0,6.0')] ).
cnf(62,plain,
( ~ distinct_points(u,v)
| unequally_directed_lines(w,line_connecting(u,v))
| before_on_line(w,u,v) ),
inference(mrr,[status(thm)],[57,5]),
[iquote('0:MRR:57.1,57.2,57.3,57.4,5.0,5.0,5.0,5.0')] ).
cnf(63,plain,
( ~ distinct_points(u,v)
| ~ distinct_lines(w,x) ),
inference(mrr,[status(thm)],[58,5]),
[iquote('0:MRR:58.2,58.3,58.4,58.5,58.6,58.7,58.8,58.9,5.0,5.0,5.0,5.0,5.0,5.0,5.0,5.0')] ).
cnf(64,plain,
~ distinct_lines(u,v),
inference(res,[status(thm),theory(equality)],[1,63]),
[iquote('0:Res:1.0,63.0')] ).
cnf(65,plain,
( unequally_directed_lines(u,line_connecting(skc2,skc3))
| before_on_line(u,skc2,skc3) ),
inference(res,[status(thm),theory(equality)],[1,62]),
[iquote('0:Res:1.0,62.0')] ).
cnf(68,plain,
unequally_directed_lines(line_connecting(skc3,skc2),line_connecting(skc2,skc3)),
inference(mrr,[status(thm)],[43,64]),
[iquote('0:MRR:43.0,64.0')] ).
cnf(90,plain,
( unequally_directed_lines(line_connecting(skc2,skc3),u)
| unequally_directed_lines(line_connecting(skc3,skc2),u) ),
inference(res,[status(thm),theory(equality)],[68,25]),
[iquote('0:Res:68.0,25.0')] ).
cnf(91,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),v)
| unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[65,25]),
[iquote('0:Res:65.0,25.0')] ).
cnf(115,plain,
~ before_on_line(line_connecting(skc3,skc2),skc2,skc3),
inference(res,[status(thm),theory(equality)],[68,34]),
[iquote('0:Res:68.0,34.0')] ).
cnf(145,plain,
( unequally_directed_lines(line_connecting(skc3,skc2),u)
| unequally_directed_lines(u,v)
| unequally_directed_lines(line_connecting(skc2,skc3),v) ),
inference(res,[status(thm),theory(equality)],[90,25]),
[iquote('0:Res:90.0,25.0')] ).
cnf(173,plain,
( ~ unequally_directed_lines(line_connecting(skc2,skc3),u)
| before_on_line(v,skc2,skc3)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[91,61]),
[iquote('0:Res:91.1,61.1')] ).
cnf(176,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),u) ),
inference(res,[status(thm),theory(equality)],[91,4]),
[iquote('0:Res:91.2,4.0')] ).
cnf(178,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[91,25]),
[iquote('0:Res:91.2,25.0')] ).
cnf(179,plain,
( ~ unequally_directed_lines(u,v)
| before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),reverse_line(v)) ),
inference(res,[status(thm),theory(equality)],[91,61]),
[iquote('0:Res:91.2,61.1')] ).
cnf(545,plain,
( ~ before_on_line(u,v,w)
| unequally_directed_lines(line_connecting(skc3,skc2),u)
| unequally_directed_lines(line_connecting(skc2,skc3),line_connecting(v,w)) ),
inference(res,[status(thm),theory(equality)],[145,34]),
[iquote('0:Res:145.1,34.0')] ).
cnf(548,plain,
( unequally_directed_lines(line_connecting(skc3,skc2),u)
| unequally_directed_lines(u,line_connecting(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[145,4]),
[iquote('0:Res:145.2,4.0')] ).
cnf(588,plain,
( ~ before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc3,skc2),u) ),
inference(res,[status(thm),theory(equality)],[548,34]),
[iquote('0:Res:548.1,34.0')] ).
cnf(777,plain,
( before_on_line(u,skc2,skc3)
| before_on_line(v,skc2,skc3)
| unequally_directed_lines(v,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[176,173]),
[iquote('0:Res:176.1,173.0')] ).
cnf(821,plain,
( ~ before_on_line(u,skc2,skc3)
| before_on_line(line_connecting(skc3,skc2),skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[588,179]),
[iquote('0:Res:588.1,179.0')] ).
cnf(864,plain,
( ~ before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),reverse_line(u)) ),
inference(mrr,[status(thm)],[821,115]),
[iquote('0:MRR:821.1,115.0')] ).
cnf(1101,plain,
( ~ before_on_line(u,skc2,skc3)
| ~ unequally_directed_lines(line_connecting(skc2,skc3),u) ),
inference(res,[status(thm),theory(equality)],[864,61]),
[iquote('0:Res:864.1,61.1')] ).
cnf(1557,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),v)
| unequally_directed_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[178,4]),
[iquote('0:Res:178.3,4.0')] ).
cnf(4126,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(u,reverse_line(u)) ),
inference(fac,[status(thm)],[777]),
[iquote('0:Fac:777.0,777.1')] ).
cnf(4255,plain,
before_on_line(line_connecting(u,u),skc2,skc3),
inference(res,[status(thm),theory(equality)],[4126,20]),
[iquote('0:Res:4126.1,20.0')] ).
cnf(4329,plain,
( unequally_directed_lines(line_connecting(skc3,skc2),line_connecting(u,u))
| unequally_directed_lines(line_connecting(skc2,skc3),line_connecting(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[4255,545]),
[iquote('0:Res:4255.0,545.0')] ).
cnf(4333,plain,
unequally_directed_lines(line_connecting(skc3,skc2),line_connecting(u,u)),
inference(mrr,[status(thm)],[4329,4]),
[iquote('0:MRR:4329.1,4.0')] ).
cnf(4338,plain,
( before_on_line(line_connecting(skc3,skc2),skc2,skc3)
| unequally_directed_lines(line_connecting(skc2,skc3),reverse_line(line_connecting(u,u))) ),
inference(res,[status(thm),theory(equality)],[4333,179]),
[iquote('0:Res:4333.0,179.0')] ).
cnf(4341,plain,
unequally_directed_lines(line_connecting(skc2,skc3),reverse_line(line_connecting(u,u))),
inference(mrr,[status(thm)],[4338,115]),
[iquote('0:MRR:4338.0,115.0')] ).
cnf(4349,plain,
~ before_on_line(reverse_line(line_connecting(u,u)),skc2,skc3),
inference(res,[status(thm),theory(equality)],[4341,1101]),
[iquote('0:Res:4341.0,1101.1')] ).
cnf(4359,plain,
~ unequally_directed_lines(line_connecting(skc2,skc3),line_connecting(u,u)),
inference(res,[status(thm),theory(equality)],[4341,61]),
[iquote('0:Res:4341.0,61.1')] ).
cnf(4516,plain,
( before_on_line(u,skc2,skc3)
| unequally_directed_lines(line_connecting(v,v),u) ),
inference(res,[status(thm),theory(equality)],[1557,4359]),
[iquote('0:Res:1557.1,4359.0')] ).
cnf(4671,plain,
before_on_line(reverse_line(line_connecting(u,u)),skc2,skc3),
inference(res,[status(thm),theory(equality)],[4516,20]),
[iquote('0:Res:4516.1,20.0')] ).
cnf(4673,plain,
$false,
inference(mrr,[status(thm)],[4671,4349]),
[iquote('0:MRR:4671.0,4349.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO230+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.07/0.14 % Command : run_spass %d %s
% 0.13/0.36 % Computer : n011.cluster.edu
% 0.13/0.36 % Model : x86_64 x86_64
% 0.13/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.36 % Memory : 8042.1875MB
% 0.13/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 600
% 0.13/0.36 % DateTime : Sat Jun 18 18:26:23 EDT 2022
% 0.13/0.36 % CPUTime :
% 1.06/1.32
% 1.06/1.32 SPASS V 3.9
% 1.06/1.32 SPASS beiseite: Proof found.
% 1.06/1.32 % SZS status Theorem
% 1.06/1.32 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.06/1.32 SPASS derived 4387 clauses, backtracked 1 clauses, performed 1 splits and kept 1618 clauses.
% 1.06/1.32 SPASS allocated 100195 KBytes.
% 1.06/1.32 SPASS spent 0:00:00.93 on the problem.
% 1.06/1.32 0:00:00.04 for the input.
% 1.06/1.32 0:00:00.03 for the FLOTTER CNF translation.
% 1.06/1.32 0:00:00.06 for inferences.
% 1.06/1.32 0:00:00.00 for the backtracking.
% 1.06/1.32 0:00:00.77 for the reduction.
% 1.06/1.32
% 1.06/1.32
% 1.06/1.32 Here is a proof with depth 11, length 44 :
% 1.06/1.32 % SZS output start Refutation
% See solution above
% 1.06/1.32 Formulae used in the proof : con oag5 oag10 oag11 oagco9 oag6 bf_def oag9 oaguc1
% 1.06/1.32
%------------------------------------------------------------------------------