TSTP Solution File: GEO226+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n018.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 06:23:41 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 11 ( 0 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
convergent_lines(skc3,skc2),
file('GEO226+1.p',unknown),
[] ).
cnf(8,axiom,
( apart_point_and_line(u,skc2)
| apart_point_and_line(u,skc3) ),
file('GEO226+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO226+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO226+1.p',unknown),
[] ).
cnf(32,plain,
~ apart_point_and_line(intersection_point(skc3,skc2),skc3),
inference(res,[status(thm),theory(equality)],[4,14]),
[iquote('0:Res:4.0,14.0')] ).
cnf(33,plain,
~ apart_point_and_line(intersection_point(skc3,skc2),skc2),
inference(res,[status(thm),theory(equality)],[4,15]),
[iquote('0:Res:4.0,15.0')] ).
cnf(43,plain,
apart_point_and_line(intersection_point(skc3,skc2),skc2),
inference(res,[status(thm),theory(equality)],[8,32]),
[iquote('0:Res:8.0,32.0')] ).
cnf(45,plain,
$false,
inference(mrr,[status(thm)],[43,33]),
[iquote('0:MRR:43.0,33.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO226+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n018.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 10:26:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 18 clauses, backtracked 0 clauses, performed 0 splits and kept 31 clauses.
% 0.18/0.43 SPASS allocated 97662 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.43 0:00:00.04 for the input.
% 0.18/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.00 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 2, length 8 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : con ci3 ci4
% 0.18/0.43
%------------------------------------------------------------------------------