%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:23:28 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 6
% Syntax : Number of clauses : 11 ( 7 unt; 4 nHn; 11 RR)
% Number of literals : 21 ( 0 equ; 5 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
~ apart_point_and_line(skc5,skc3),
file('GEO210+2.p',unknown),
[] ).
cnf(2,axiom,
~ unorthogonal_lines(skc3,skc4),
file('GEO210+2.p',unknown),
[] ).
cnf(6,axiom,
distinct_lines(skc3,orthogonal_through_point(skc4,skc5)),
file('GEO210+2.p',unknown),
[] ).
cnf(10,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO210+2.p',unknown),
[] ).
cnf(11,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO210+2.p',unknown),
[] ).
cnf(27,axiom,
( ~ distinct_lines(u,v)
| unorthogonal_lines(v,w)
| unorthogonal_lines(u,w)
| apart_point_and_line(x,v)
| apart_point_and_line(x,u) ),
file('GEO210+2.p',unknown),
[] ).
cnf(43,plain,
( apart_point_and_line(u,skc3)
| apart_point_and_line(u,orthogonal_through_point(skc4,skc5))
| unorthogonal_lines(skc3,v)
| unorthogonal_lines(orthogonal_through_point(skc4,skc5),v) ),
inference(res,[status(thm),theory(equality)],[6,27]),
[iquote('0:Res:6.0,27.0')] ).
cnf(64,plain,
( apart_point_and_line(skc5,orthogonal_through_point(skc4,skc5))
| unorthogonal_lines(skc3,u)
| unorthogonal_lines(orthogonal_through_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[43,1]),
[iquote('0:Res:43.0,1.0')] ).
cnf(74,plain,
( unorthogonal_lines(skc3,u)
| unorthogonal_lines(orthogonal_through_point(skc4,skc5),u) ),
inference(mrr,[status(thm)],[64,11]),
[iquote('0:MRR:64.0,11.0')] ).
cnf(98,plain,
unorthogonal_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[74,10]),
[iquote('0:Res:74.1,10.0')] ).
cnf(99,plain,
$false,
inference(mrr,[status(thm)],[98,2]),
[iquote('0:MRR:98.0,2.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO210+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n027.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 05:00:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 52 clauses, backtracked 0 clauses, performed 0 splits and kept 57 clauses.
% 0.19/0.43 SPASS allocated 85203 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.04 for the input.
% 0.19/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 3, length 11 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : con ooc1 ooc2 ouo1
% 0.19/0.43
%------------------------------------------------------------------------------