TSTP Solution File: GEO261+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:24:01 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 4 unt; 1 nHn; 9 RR)
% Number of literals : 16 ( 0 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc9,skc5),
file('GEO261+1.p',unknown),
[] ).
cnf(7,axiom,
~ left_convergent_lines(u,v),
file('GEO261+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,v) ),
file('GEO261+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO261+1.p',unknown),
[] ).
cnf(56,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('GEO261+1.p',unknown),
[] ).
cnf(63,plain,
( ~ unequally_directed_lines(u,v)
| ~ unequally_directed_lines(u,reverse_line(v)) ),
inference(mrr,[status(thm)],[56,7]),
[iquote('0:MRR:56.2,56.3,7.0,7.0')] ).
cnf(93,plain,
( ~ convergent_lines(u,v)
| ~ unequally_directed_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[18,63]),
[iquote('0:Res:18.1,63.1')] ).
cnf(96,plain,
~ convergent_lines(u,v),
inference(mrr,[status(thm)],[93,15]),
[iquote('0:MRR:93.1,15.1')] ).
cnf(97,plain,
$false,
inference(unc,[status(thm)],[96,1]),
[iquote('0:UnC:96.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO261+1 : TPTP v8.1.0. Bugfixed v6.4.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 07:53:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 26 clauses, backtracked 0 clauses, performed 2 splits and kept 68 clauses.
% 0.18/0.44 SPASS allocated 97785 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.10 on the problem.
% 0.18/0.44 0:00:00.04 for the input.
% 0.18/0.44 0:00:00.04 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 1, length 9 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : con oag11 con_def oag9
% 0.18/0.44
%------------------------------------------------------------------------------