TSTP Solution File: GEO192+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 06:23:12 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 8 unt; 5 nHn; 17 RR)
% Number of literals : 28 ( 0 equ; 12 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(1,axiom,
convergent_lines(skc3,skc4),
file('GEO192+3.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_lines(u,u),
file('GEO192+3.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(intersection_point(skc3,skc4),skc5),
file('GEO192+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ distinct_lines(skc4,skc5)
| ~ distinct_lines(skc3,skc5) ),
file('GEO192+3.p',unknown),
[] ).
cnf(29,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO192+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO192+3.p',unknown),
[] ).
cnf(34,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO192+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO192+3.p',unknown),
[] ).
cnf(53,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc3),
inference(res,[status(thm),theory(equality)],[1,33]),
[iquote('0:Res:1.0,33.0')] ).
cnf(54,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc4),
inference(res,[status(thm),theory(equality)],[1,34]),
[iquote('0:Res:1.0,34.0')] ).
cnf(60,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,36]),
[iquote('0:Res:5.0,36.0')] ).
cnf(95,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[60,54]),
[iquote('0:Res:60.1,54.0')] ).
cnf(96,plain,
distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[60,53]),
[iquote('0:Res:60.1,53.0')] ).
cnf(223,plain,
( distinct_lines(skc4,u)
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[95,29]),
[iquote('0:Res:95.0,29.0')] ).
cnf(224,plain,
( distinct_lines(skc3,u)
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[96,29]),
[iquote('0:Res:96.0,29.0')] ).
cnf(237,plain,
( ~ distinct_lines(skc4,skc5)
| distinct_lines(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[224,22]),
[iquote('0:Res:224.0,22.1')] ).
cnf(238,plain,
$false,
inference(mrr,[status(thm)],[237,223,3]),
[iquote('0:MRR:237.0,237.1,223.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO192+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sat Jun 18 18:27:29 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 183 clauses, backtracked 0 clauses, performed 1 splits and kept 171 clauses.
% 0.19/0.45 SPASS allocated 97760 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 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 4, length 17 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con apart2 apart5 ci3 ci4 ceq2
% 0.19/0.45
%------------------------------------------------------------------------------