%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:27 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 10 unt; 3 nHn; 15 RR)
% Number of literals : 21 ( 0 equ; 9 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
parallel_lines(skc5,skc6),
file('GEO209+3.p',unknown),
[] ).
cnf(5,axiom,
parallel_lines(skc4,skc6),
file('GEO209+3.p',unknown),
[] ).
cnf(6,axiom,
~ equal_lines(skc4,skc5),
file('GEO209+3.p',unknown),
[] ).
cnf(19,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO209+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO209+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO209+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO209+3.p',unknown),
[] ).
cnf(53,plain,
~ convergent_lines(skc4,skc6),
inference(res,[status(thm),theory(equality)],[5,28]),
[iquote('0:Res:5.0,28.0')] ).
cnf(54,plain,
~ convergent_lines(skc5,skc6),
inference(res,[status(thm),theory(equality)],[4,28]),
[iquote('0:Res:4.0,28.0')] ).
cnf(60,plain,
distinct_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[19,6]),
[iquote('0:Res:19.1,6.0')] ).
cnf(84,plain,
~ distinct_lines(skc5,skc6),
inference(res,[status(thm),theory(equality)],[23,54]),
[iquote('0:Res:23.1,54.0')] ).
cnf(85,plain,
~ distinct_lines(skc4,skc6),
inference(res,[status(thm),theory(equality)],[23,53]),
[iquote('0:Res:23.1,53.0')] ).
cnf(210,plain,
( distinct_lines(skc5,u)
| distinct_lines(skc4,u) ),
inference(res,[status(thm),theory(equality)],[60,32]),
[iquote('0:Res:60.0,32.0')] ).
cnf(217,plain,
distinct_lines(skc5,skc6),
inference(res,[status(thm),theory(equality)],[210,85]),
[iquote('0:Res:210.1,85.0')] ).
cnf(218,plain,
$false,
inference(mrr,[status(thm)],[217,84]),
[iquote('0:MRR:217.0,84.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO209+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n009.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 : Sat Jun 18 15:32:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 161 clauses, backtracked 0 clauses, performed 0 splits and kept 155 clauses.
% 0.19/0.45 SPASS allocated 97752 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.01 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 15 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con ax2 p1 a3 apart5
% 0.19/0.45
%------------------------------------------------------------------------------