%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:24:04 EDT 2022
% Result : Theorem 0.21s 0.46s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 7 ( 5 unt; 1 nHn; 7 RR)
% Number of literals : 9 ( 0 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 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(3,axiom,
~ unequally_directed_lines(skc3,skc4),
file('GEO267+3.p',unknown),
[] ).
cnf(4,axiom,
~ unequally_directed_opposite_lines(skc3,skc4),
file('GEO267+3.p',unknown),
[] ).
cnf(20,axiom,
( unequally_directed_lines(u,v)
| unequally_directed_lines(u,reverse_line(v)) ),
file('GEO267+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ unequally_directed_lines(u,reverse_line(v))
| unequally_directed_opposite_lines(u,v) ),
file('GEO267+3.p',unknown),
[] ).
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(81,plain,
unequally_directed_lines(skc3,reverse_line(skc4)),
inference(res,[status(thm),theory(equality)],[20,3]),
[iquote('0:Res:20.0,3.0')] ).
cnf(86,plain,
$false,
inference(mrr,[status(thm)],[77,81]),
[iquote('0:MRR:77.0,81.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : GEO267+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n015.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jun 18 09:10:43 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46
% 0.21/0.46 SPASS V 3.9
% 0.21/0.46 SPASS beiseite: Proof found.
% 0.21/0.46 % SZS status Theorem
% 0.21/0.46 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.46 SPASS derived 12 clauses, backtracked 0 clauses, performed 0 splits and kept 60 clauses.
% 0.21/0.46 SPASS allocated 97786 KBytes.
% 0.21/0.46 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.46 0:00:00.04 for the input.
% 0.21/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.46 0:00:00.00 for inferences.
% 0.21/0.46 0:00:00.00 for the backtracking.
% 0.21/0.46 0:00:00.00 for the reduction.
% 0.21/0.46
% 0.21/0.46
% 0.21/0.46 Here is a proof with depth 1, length 7 :
% 0.21/0.46 % SZS output start Refutation
% See solution above
% 0.21/0.46 Formulae used in the proof : con ax8_basics a1_defns
% 0.21/0.46
%------------------------------------------------------------------------------