TSTP Solution File: GEO176+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 06:22:58 EDT 2022
% Result : Theorem 0.22s 0.46s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
convergent_lines(skc4,skc5),
file('GEO176+1.p',unknown),
[] ).
cnf(6,axiom,
~ distinct_points(skc6,intersection_point(skc4,skc5)),
file('GEO176+1.p',unknown),
[] ).
cnf(7,axiom,
( apart_point_and_line(skc6,skc5)
| apart_point_and_line(skc6,skc4) ),
file('GEO176+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO176+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO176+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO176+1.p',unknown),
[] ).
cnf(20,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc4),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(21,plain,
~ apart_point_and_line(intersection_point(skc4,skc5),skc5),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(28,plain,
( ~ apart_point_and_line(skc6,u)
| apart_point_and_line(intersection_point(skc4,skc5),u) ),
inference(res,[status(thm),theory(equality)],[15,6]),
[iquote('0:Res:15.1,6.0')] ).
cnf(38,plain,
~ apart_point_and_line(skc6,skc5),
inference(res,[status(thm),theory(equality)],[28,21]),
[iquote('0:Res:28.1,21.0')] ).
cnf(39,plain,
~ apart_point_and_line(skc6,skc4),
inference(res,[status(thm),theory(equality)],[28,20]),
[iquote('0:Res:28.1,20.0')] ).
cnf(43,plain,
apart_point_and_line(skc6,skc4),
inference(mrr,[status(thm)],[7,38]),
[iquote('0:MRR:7.0,38.0')] ).
cnf(44,plain,
$false,
inference(mrr,[status(thm)],[39,43]),
[iquote('0:MRR:39.0,43.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : GEO176+1 : TPTP v8.1.0. Released v3.3.0.
% 0.13/0.14 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n006.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat Jun 18 10:57:25 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.22/0.46
% 0.22/0.46 SPASS V 3.9
% 0.22/0.46 SPASS beiseite: Proof found.
% 0.22/0.46 % SZS status Theorem
% 0.22/0.46 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.46 SPASS derived 25 clauses, backtracked 0 clauses, performed 0 splits and kept 37 clauses.
% 0.22/0.46 SPASS allocated 85159 KBytes.
% 0.22/0.46 SPASS spent 0:00:00.08 on the problem.
% 0.22/0.46 0:00:00.03 for the input.
% 0.22/0.46 0:00:00.03 for the FLOTTER CNF translation.
% 0.22/0.46 0:00:00.00 for inferences.
% 0.22/0.46 0:00:00.00 for the backtracking.
% 0.22/0.46 0:00:00.00 for the reduction.
% 0.22/0.46
% 0.22/0.46
% 0.22/0.46 Here is a proof with depth 2, length 13 :
% 0.22/0.46 % SZS output start Refutation
% See solution above
% 0.22/0.46 Formulae used in the proof : con ci3 ci4 ceq1
% 0.22/0.46
%------------------------------------------------------------------------------