%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n007.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 06:23:30 EDT 2022
% Result : Theorem 0.21s 0.47s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 13
% Syntax : Number of clauses : 31 ( 12 unt; 11 nHn; 31 RR)
% Number of literals : 57 ( 0 equ; 21 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(1,axiom,
unorthogonal_lines(skc5,skc3),
file('GEO213+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_lines(skc5,skc4),
file('GEO213+1.p',unknown),
[] ).
cnf(3,axiom,
~ unorthogonal_lines(skc3,skc4),
file('GEO213+1.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_lines(u,u),
file('GEO213+1.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO213+1.p',unknown),
[] ).
cnf(9,axiom,
( unorthogonal_lines(u,v)
| convergent_lines(u,v) ),
file('GEO213+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ skP0(u,v)
| convergent_lines(v,u) ),
file('GEO213+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ skP0(u,v)
| unorthogonal_lines(v,u) ),
file('GEO213+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO213+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO213+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO213+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ skP0(u,v)
| skP0(w,u)
| skP0(w,v) ),
file('GEO213+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ unorthogonal_lines(u,v)
| ~ convergent_lines(u,v)
| skP0(v,u) ),
file('GEO213+1.p',unknown),
[] ).
cnf(29,plain,
( ~ convergent_lines(skc5,skc3)
| skP0(skc3,skc5) ),
inference(res,[status(thm),theory(equality)],[1,25]),
[iquote('0:Res:1.0,25.1')] ).
cnf(30,plain,
~ skP0(skc4,skc3),
inference(res,[status(thm),theory(equality)],[13,3]),
[iquote('0:Res:13.1,3.0')] ).
cnf(31,plain,
convergent_lines(skc3,skc4),
inference(res,[status(thm),theory(equality)],[9,3]),
[iquote('0:Res:9.1,3.0')] ).
cnf(35,plain,
( ~ distinct_lines(u,skc5)
| distinct_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[15,2]),
[iquote('0:Res:15.2,2.0')] ).
cnf(37,plain,
( ~ convergent_lines(u,skc5)
| convergent_lines(u,skc4) ),
inference(res,[status(thm),theory(equality)],[23,2]),
[iquote('0:Res:23.2,2.0')] ).
cnf(48,plain,
~ distinct_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[35,5]),
[iquote('0:Res:35.1,5.0')] ).
cnf(51,plain,
~ convergent_lines(skc4,skc5),
inference(res,[status(thm),theory(equality)],[37,6]),
[iquote('0:Res:37.1,6.0')] ).
cnf(57,plain,
( ~ convergent_lines(skc5,skc3)
| skP0(u,skc3)
| skP0(u,skc5) ),
inference(res,[status(thm),theory(equality)],[29,24]),
[iquote('0:Res:29.1,24.0')] ).
cnf(58,plain,
( ~ convergent_lines(skc5,skc3)
| skP0(skc4,skc5) ),
inference(res,[status(thm),theory(equality)],[57,30]),
[iquote('0:Res:57.1,30.0')] ).
cnf(63,plain,
( ~ convergent_lines(skc5,skc3)
| convergent_lines(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[58,12]),
[iquote('0:Res:58.1,12.0')] ).
cnf(87,plain,
( distinct_lines(skc4,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[31,23]),
[iquote('0:Res:31.0,23.0')] ).
cnf(103,plain,
( distinct_lines(skc4,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[87,16]),
[iquote('0:Res:87.1,16.0')] ).
cnf(143,plain,
( distinct_lines(skc4,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[103,6]),
[iquote('0:Res:103.2,6.0')] ).
cnf(153,plain,
( distinct_lines(skc4,skc5)
| convergent_lines(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[143,63]),
[iquote('0:Res:143.1,63.0')] ).
cnf(155,plain,
convergent_lines(skc5,skc4),
inference(mrr,[status(thm)],[153,48]),
[iquote('0:MRR:153.0,48.0')] ).
cnf(172,plain,
( convergent_lines(skc4,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[155,16]),
[iquote('0:Res:155.0,16.0')] ).
cnf(198,plain,
convergent_lines(skc5,skc5),
inference(res,[status(thm),theory(equality)],[172,51]),
[iquote('0:Res:172.0,51.0')] ).
cnf(199,plain,
$false,
inference(mrr,[status(thm)],[198,6]),
[iquote('0:MRR:198.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : GEO213+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.14 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n007.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 00:02:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47
% 0.21/0.47 SPASS V 3.9
% 0.21/0.47 SPASS beiseite: Proof found.
% 0.21/0.47 % SZS status Theorem
% 0.21/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 SPASS derived 164 clauses, backtracked 0 clauses, performed 0 splits and kept 145 clauses.
% 0.21/0.47 SPASS allocated 85205 KBytes.
% 0.21/0.47 SPASS spent 0:00:00.10 on the problem.
% 0.21/0.47 0:00:00.04 for the input.
% 0.21/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.47 0:00:00.00 for inferences.
% 0.21/0.47 0:00:00.00 for the backtracking.
% 0.21/0.47 0:00:00.01 for the reduction.
% 0.21/0.47
% 0.21/0.47
% 0.21/0.47 Here is a proof with depth 7, length 31 :
% 0.21/0.47 % SZS output start Refutation
% See solution above
% 0.21/0.47 Formulae used in the proof : con apart2 apart3 occu1 oac1 apart5 ax6 ceq3
% 0.21/0.47
%------------------------------------------------------------------------------