TSTP Solution File: GEO192+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO192+1 : 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 06:23:11 EDT 2022
% Result : Theorem 0.19s 0.43s
% 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+1.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_lines(u,u),
file('GEO192+1.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(intersection_point(skc3,skc4),skc5),
file('GEO192+1.p',unknown),
[] ).
cnf(6,axiom,
( ~ distinct_lines(skc4,skc5)
| ~ distinct_lines(skc3,skc5) ),
file('GEO192+1.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO192+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO192+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO192+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO192+1.p',unknown),
[] ).
cnf(19,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc3),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(20,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc4),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(23,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,15]),
[iquote('0:Res:5.0,15.0')] ).
cnf(26,plain,
distinct_lines(skc5,skc4),
inference(res,[status(thm),theory(equality)],[23,20]),
[iquote('0:Res:23.1,20.0')] ).
cnf(27,plain,
distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[23,19]),
[iquote('0:Res:23.1,19.0')] ).
cnf(37,plain,
( distinct_lines(skc4,u)
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[26,8]),
[iquote('0:Res:26.0,8.0')] ).
cnf(38,plain,
( distinct_lines(skc3,u)
| distinct_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[27,8]),
[iquote('0:Res:27.0,8.0')] ).
cnf(42,plain,
( ~ distinct_lines(skc4,skc5)
| distinct_lines(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[38,6]),
[iquote('0:Res:38.0,6.1')] ).
cnf(44,plain,
$false,
inference(mrr,[status(thm)],[42,37,3]),
[iquote('0:MRR:42.0,42.1,37.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO192+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n027.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 05:38:07 EDT 2022
% 0.13/0.34 % 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/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 26 clauses, backtracked 0 clauses, performed 0 splits and kept 36 clauses.
% 0.19/0.43 SPASS allocated 85142 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.43 0:00:00.03 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 4, length 17 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : con apart2 apart5 ci3 ci4 ceq2
% 0.19/0.43
%------------------------------------------------------------------------------