TSTP Solution File: GEO262+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 06:24:02 EDT 2022
% Result : Theorem 0.19s 0.46s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 12
% Syntax : Number of clauses : 34 ( 14 unt; 9 nHn; 34 RR)
% Number of literals : 57 ( 0 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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,
convergent_lines(skc11,skc8),
file('GEO262+3.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc11,skc6),
file('GEO262+3.p',unknown),
[] ).
cnf(3,axiom,
convergent_lines(skc8,skc6),
file('GEO262+3.p',unknown),
[] ).
cnf(6,axiom,
equally_directed_lines(u,u),
file('GEO262+3.p',unknown),
[] ).
cnf(10,axiom,
~ left_convergent_lines(u,v),
file('GEO262+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO262+3.p',unknown),
[] ).
cnf(23,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO262+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ unequally_directed_opposite_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO262+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO262+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ unequally_directed_lines(u,v)
| ~ equally_directed_lines(u,v) ),
file('GEO262+3.p',unknown),
[] ).
cnf(40,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO262+3.p',unknown),
[] ).
cnf(67,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('GEO262+3.p',unknown),
[] ).
cnf(76,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[67,10]),
[iquote('0:MRR:67.2,67.3,10.0,10.0')] ).
cnf(82,plain,
unequally_directed_lines(skc8,skc6),
inference(res,[status(thm),theory(equality)],[3,20]),
[iquote('0:Res:3.0,20.0')] ).
cnf(84,plain,
unequally_directed_lines(skc11,skc6),
inference(res,[status(thm),theory(equality)],[2,20]),
[iquote('0:Res:2.0,20.0')] ).
cnf(86,plain,
unequally_directed_lines(skc11,skc8),
inference(res,[status(thm),theory(equality)],[1,20]),
[iquote('0:Res:1.0,20.0')] ).
cnf(113,plain,
~ unequally_directed_lines(u,u),
inference(res,[status(thm),theory(equality)],[6,30]),
[iquote('0:Res:6.0,30.1')] ).
cnf(119,plain,
unequally_directed_lines(reverse_line(u),u),
inference(res,[status(thm),theory(equality)],[23,113]),
[iquote('0:Res:23.1,113.0')] ).
cnf(180,plain,
( unequally_directed_lines(skc8,u)
| unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[86,40]),
[iquote('0:Res:86.0,40.0')] ).
cnf(181,plain,
( unequally_directed_lines(skc6,u)
| unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[84,40]),
[iquote('0:Res:84.0,40.0')] ).
cnf(182,plain,
( unequally_directed_lines(skc6,u)
| unequally_directed_lines(skc8,u) ),
inference(res,[status(thm),theory(equality)],[82,40]),
[iquote('0:Res:82.0,40.0')] ).
cnf(187,plain,
( unequally_directed_lines(u,v)
| unequally_directed_lines(reverse_line(u),v) ),
inference(res,[status(thm),theory(equality)],[119,40]),
[iquote('0:Res:119.0,40.0')] ).
cnf(191,plain,
( ~ unequally_directed_lines(skc8,u)
| unequally_directed_lines(skc11,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[180,76]),
[iquote('0:Res:180.0,76.1')] ).
cnf(192,plain,
( unequally_directed_lines(skc11,reverse_line(u))
| unequally_directed_opposite_lines(skc8,u) ),
inference(res,[status(thm),theory(equality)],[180,25]),
[iquote('0:Res:180.0,25.0')] ).
cnf(199,plain,
( ~ unequally_directed_lines(skc6,u)
| unequally_directed_lines(skc8,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[182,76]),
[iquote('0:Res:182.0,76.1')] ).
cnf(204,plain,
( ~ unequally_directed_lines(skc11,u)
| unequally_directed_opposite_lines(skc8,u) ),
inference(res,[status(thm),theory(equality)],[192,76]),
[iquote('0:Res:192.0,76.1')] ).
cnf(251,plain,
unequally_directed_lines(u,reverse_line(u)),
inference(res,[status(thm),theory(equality)],[187,113]),
[iquote('0:Res:187.1,113.0')] ).
cnf(266,plain,
( ~ unequally_directed_lines(skc8,u)
| ~ unequally_directed_lines(skc11,u) ),
inference(res,[status(thm),theory(equality)],[191,76]),
[iquote('0:Res:191.1,76.1')] ).
cnf(310,plain,
( ~ unequally_directed_lines(skc6,u)
| unequally_directed_opposite_lines(skc8,u) ),
inference(res,[status(thm),theory(equality)],[199,25]),
[iquote('0:Res:199.1,25.0')] ).
cnf(317,plain,
( unequally_directed_lines(skc11,u)
| unequally_directed_opposite_lines(skc8,u) ),
inference(res,[status(thm),theory(equality)],[181,310]),
[iquote('0:Res:181.0,310.0')] ).
cnf(318,plain,
unequally_directed_opposite_lines(skc8,u),
inference(mrr,[status(thm)],[317,204]),
[iquote('0:MRR:317.0,204.0')] ).
cnf(327,plain,
( ~ unequally_directed_opposite_lines(skc8,u)
| ~ unequally_directed_lines(skc11,reverse_line(u)) ),
inference(res,[status(thm),theory(equality)],[24,266]),
[iquote('0:Res:24.1,266.0')] ).
cnf(334,plain,
~ unequally_directed_lines(skc11,reverse_line(u)),
inference(mrr,[status(thm)],[327,318]),
[iquote('0:MRR:327.0,318.0')] ).
cnf(335,plain,
$false,
inference(unc,[status(thm)],[334,251]),
[iquote('0:UnC:334.0,251.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO262+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n017.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 03:48:57 EDT 2022
% 0.12/0.34 % 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 245 clauses, backtracked 0 clauses, performed 2 splits and kept 227 clauses.
% 0.19/0.46 SPASS allocated 97838 KBytes.
% 0.19/0.46 SPASS spent 0:00:00.11 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 34 :
% 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 a7_defns ax8_basics a1_defns a4_defns ax6_basics ax9_basics
% 0.19/0.46
%------------------------------------------------------------------------------