TSTP Solution File: GEO231+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:23:44 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 18 ( 10 unt; 3 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 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_lines(skc5,skc4),
file('GEO231+1.p',unknown),
[] ).
cnf(2,axiom,
unequally_directed_lines(skc3,reverse_line(skc4)),
file('GEO231+1.p',unknown),
[] ).
cnf(5,axiom,
~ unequally_directed_lines(u,u),
file('GEO231+1.p',unknown),
[] ).
cnf(7,axiom,
~ left_convergent_lines(u,v),
file('GEO231+1.p',unknown),
[] ).
cnf(8,axiom,
~ unequally_directed_lines(skc5,reverse_line(skc3)),
file('GEO231+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ unequally_directed_lines(u,v)
| unequally_directed_lines(v,w)
| unequally_directed_lines(u,w) ),
file('GEO231+1.p',unknown),
[] ).
cnf(55,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('GEO231+1.p',unknown),
[] ).
cnf(62,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[55,7]),
[iquote('0:MRR:55.2,55.3,7.0,7.0')] ).
cnf(65,plain,
~ unequally_directed_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[2,62]),
[iquote('0:Res:2.0,62.1')] ).
cnf(67,plain,
( unequally_directed_lines(skc3,u)
| unequally_directed_lines(reverse_line(skc4),u) ),
inference(res,[status(thm),theory(equality)],[2,27]),
[iquote('0:Res:2.0,27.0')] ).
cnf(72,plain,
( ~ unequally_directed_lines(u,skc5)
| unequally_directed_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[27,1]),
[iquote('0:Res:27.2,1.0')] ).
cnf(80,plain,
( ~ unequally_directed_lines(u,skc5)
| unequally_directed_lines(u,reverse_line(skc3)) ),
inference(res,[status(thm),theory(equality)],[27,8]),
[iquote('0:Res:27.2,8.0')] ).
cnf(90,plain,
~ unequally_directed_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[72,65]),
[iquote('0:Res:72.1,65.0')] ).
cnf(113,plain,
( ~ unequally_directed_lines(u,skc5)
| ~ unequally_directed_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[80,62]),
[iquote('0:Res:80.1,62.1')] ).
cnf(120,plain,
( ~ unequally_directed_lines(reverse_line(skc4),skc5)
| unequally_directed_lines(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[67,113]),
[iquote('0:Res:67.1,113.1')] ).
cnf(121,plain,
~ unequally_directed_lines(reverse_line(skc4),skc5),
inference(mrr,[status(thm)],[120,5]),
[iquote('0:MRR:120.1,5.0')] ).
cnf(122,plain,
unequally_directed_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[67,121]),
[iquote('0:Res:67.1,121.0')] ).
cnf(123,plain,
$false,
inference(mrr,[status(thm)],[122,90]),
[iquote('0:MRR:122.0,90.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.19 % Problem : GEO231+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.12/0.19 % Command : run_spass %d %s
% 0.13/0.41 % Computer : n009.cluster.edu
% 0.13/0.41 % Model : x86_64 x86_64
% 0.13/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.41 % Memory : 8042.1875MB
% 0.13/0.41 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.41 % CPULimit : 300
% 0.13/0.41 % WCLimit : 600
% 0.13/0.41 % DateTime : Sat Jun 18 01:32:37 EDT 2022
% 0.13/0.41 % CPUTime :
% 0.20/0.52
% 0.20/0.52 SPASS V 3.9
% 0.20/0.52 SPASS beiseite: Proof found.
% 0.20/0.52 % SZS status Theorem
% 0.20/0.52 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.52 SPASS derived 50 clauses, backtracked 0 clauses, performed 0 splits and kept 76 clauses.
% 0.20/0.52 SPASS allocated 97772 KBytes.
% 0.20/0.52 SPASS spent 0:00:00.10 on the problem.
% 0.20/0.52 0:00:00.03 for the input.
% 0.20/0.52 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.52 0:00:00.00 for inferences.
% 0.20/0.52 0:00:00.00 for the backtracking.
% 0.20/0.52 0:00:00.00 for the reduction.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 Here is a proof with depth 4, length 18 :
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 Formulae used in the proof : con oag5 oag11 oag6 oag9
% 0.20/0.52
%------------------------------------------------------------------------------