%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO234+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:23:46 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 24 ( 14 unt; 5 nHn; 24 RR)
% Number of literals : 37 ( 0 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
unequally_directed_opposite_lines(skc5,skc3),
file('GEO234+3.p',unknown),
[] ).
cnf(2,axiom,
equally_directed_lines(u,u),
file('GEO234+3.p',unknown),
[] ).
cnf(3,axiom,
~ unequally_directed_lines(skc5,skc4),
file('GEO234+3.p',unknown),
[] ).
cnf(4,axiom,
~ unequally_directed_opposite_lines(skc3,skc4),
file('GEO234+3.p',unknown),
[] ).
cnf(8,axiom,
~ left_convergent_lines(u,v),
file('GEO234+3.p',unknown),
[] ).
cnf(20,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO234+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO234+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO234+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO234+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO234+3.p',unknown),
[] ).
cnf(63,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('GEO234+3.p',unknown),
[] ).
cnf(72,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[63,8]),
[iquote('0:MRR:63.2,63.3,8.0,8.0')] ).
cnf(75,plain,
unequally_directed_lines(skc5,reverse_line(skc3)),
inference(res,[status(thm),theory(equality)],[1,21]),
[iquote('0:Res:1.0,21.0')] ).
cnf(77,plain,
~ unequally_directed_lines(skc3,reverse_line(skc4)),
inference(res,[status(thm),theory(equality)],[22,4]),
[iquote('0:Res:22.1,4.0')] ).
cnf(83,plain,
( ~ unequally_directed_lines(skc5,u)
| unequally_directed_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[37,3]),
[iquote('0:Res:37.1,3.0')] ).
cnf(93,plain,
unequally_directed_lines(reverse_line(skc3),skc4),
inference(res,[status(thm),theory(equality)],[75,83]),
[iquote('0:Res:75.0,83.0')] ).
cnf(95,plain,
unequally_directed_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[20,77]),
[iquote('0:Res:20.1,77.0')] ).
cnf(119,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.1')] ).
cnf(177,plain,
( unequally_directed_lines(skc4,u)
| unequally_directed_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[95,37]),
[iquote('0:Res:95.0,37.0')] ).
cnf(183,plain,
( unequally_directed_lines(skc4,u)
| unequally_directed_lines(reverse_line(skc3),u) ),
inference(res,[status(thm),theory(equality)],[93,37]),
[iquote('0:Res:93.0,37.0')] ).
cnf(193,plain,
unequally_directed_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[177,119]),
[iquote('0:Res:177.1,119.0')] ).
cnf(210,plain,
unequally_directed_lines(skc4,reverse_line(skc3)),
inference(res,[status(thm),theory(equality)],[183,119]),
[iquote('0:Res:183.1,119.0')] ).
cnf(212,plain,
~ unequally_directed_lines(skc4,skc3),
inference(res,[status(thm),theory(equality)],[210,72]),
[iquote('0:Res:210.0,72.1')] ).
cnf(214,plain,
$false,
inference(mrr,[status(thm)],[212,193]),
[iquote('0:MRR:212.0,193.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO234+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 21:36:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46
% 0.19/0.46 SPASS V 3.9
% 0.19/0.46 SPASS beiseite: Proof found.
% 0.19/0.46 % SZS status Theorem
% 0.19/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 SPASS derived 136 clauses, backtracked 0 clauses, performed 0 splits and kept 159 clauses.
% 0.19/0.46 SPASS allocated 97791 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.46 0:00:00.04 for the input.
% 0.19/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.46 0:00:00.00 for inferences.
% 0.19/0.46 0:00:00.00 for the backtracking.
% 0.19/0.46 0:00:00.01 for the reduction.
% 0.19/0.46
% 0.19/0.46
% 0.19/0.46 Here is a proof with depth 5, length 24 :
% 0.19/0.46 % SZS output start Refutation
% See solution above
% 0.19/0.46 Formulae used in the proof : con ax5_basics ax11_basics ax8_basics a1_defns a4_defns ax6_basics ax9_basics
% 0.19/0.46
%------------------------------------------------------------------------------