%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO221+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:23:37 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 6 unt; 4 nHn; 10 RR)
% Number of literals : 20 ( 0 equ; 4 neg)
% Maximal clause size : 5 ( 2 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(4,axiom,
~ apart_point_and_line(skc4,orthogonal_through_point(skc5,skc3)),
file('GEO221+2.p',unknown),
[] ).
cnf(8,axiom,
~ unorthogonal_lines(orthogonal_through_point(u,v),u),
file('GEO221+2.p',unknown),
[] ).
cnf(9,axiom,
~ apart_point_and_line(u,orthogonal_through_point(v,u)),
file('GEO221+2.p',unknown),
[] ).
cnf(10,axiom,
distinct_lines(orthogonal_through_point(skc5,skc3),orthogonal_through_point(skc5,skc4)),
file('GEO221+2.p',unknown),
[] ).
cnf(26,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('GEO221+2.p',unknown),
[] ).
cnf(38,plain,
( apart_point_and_line(u,orthogonal_through_point(skc5,skc3))
| apart_point_and_line(u,orthogonal_through_point(skc5,skc4))
| unorthogonal_lines(orthogonal_through_point(skc5,skc3),v)
| unorthogonal_lines(orthogonal_through_point(skc5,skc4),v) ),
inference(res,[status(thm),theory(equality)],[10,26]),
[iquote('0:Res:10.0,26.0')] ).
cnf(47,plain,
( apart_point_and_line(skc4,orthogonal_through_point(skc5,skc4))
| unorthogonal_lines(orthogonal_through_point(skc5,skc3),u)
| unorthogonal_lines(orthogonal_through_point(skc5,skc4),u) ),
inference(res,[status(thm),theory(equality)],[38,4]),
[iquote('0:Res:38.0,4.0')] ).
cnf(63,plain,
( unorthogonal_lines(orthogonal_through_point(skc5,skc4),u)
| unorthogonal_lines(orthogonal_through_point(skc5,skc3),u) ),
inference(mrr,[status(thm)],[47,9]),
[iquote('0:MRR:47.0,9.0')] ).
cnf(85,plain,
unorthogonal_lines(orthogonal_through_point(skc5,skc4),skc5),
inference(res,[status(thm),theory(equality)],[63,8]),
[iquote('0:Res:63.1,8.0')] ).
cnf(86,plain,
$false,
inference(mrr,[status(thm)],[85,8]),
[iquote('0:MRR:85.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO221+2 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n016.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 14:32:07 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 40 clauses, backtracked 0 clauses, performed 0 splits and kept 49 clauses.
% 0.19/0.43 SPASS allocated 85202 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 10 :
% 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
%------------------------------------------------------------------------------