TSTP Solution File: GEO182+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n004.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 06:23:03 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 7 unt; 6 nHn; 17 RR)
% Number of literals : 30 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
~ convergent_lines(u,u),
file('GEO182+3.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO182+3.p',unknown),
[] ).
cnf(7,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO182+3.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO182+3.p',unknown),
[] ).
cnf(17,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO182+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO182+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO182+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO182+3.p',unknown),
[] ).
cnf(36,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO182+3.p',unknown),
[] ).
cnf(57,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,36]),
[iquote('0:Res:5.0,36.0')] ).
cnf(129,plain,
( ~ distinct_lines(u,v)
| ~ parallel_lines(u,v) ),
inference(res,[status(thm),theory(equality)],[20,25]),
[iquote('0:Res:20.1,25.0')] ).
cnf(155,plain,
( ~ parallel_lines(line_connecting(skc3,skc4),u)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[57,129]),
[iquote('0:Res:57.1,129.0')] ).
cnf(197,plain,
( parallel_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[17,30]),
[iquote('0:Res:17.1,30.0')] ).
cnf(550,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[197,4]),
[iquote('0:Res:197.2,4.0')] ).
cnf(557,plain,
parallel_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[550,7]),
[iquote('0:Res:550.1,7.0')] ).
cnf(565,plain,
apart_point_and_line(skc5,parallel_through_point(line_connecting(skc3,skc4),u)),
inference(res,[status(thm),theory(equality)],[557,155]),
[iquote('0:Res:557.0,155.0')] ).
cnf(566,plain,
$false,
inference(unc,[status(thm)],[565,8]),
[iquote('0:UnC:565.0,8.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO182+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.35 % Computer : n004.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 03:37:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 483 clauses, backtracked 0 clauses, performed 0 splits and kept 336 clauses.
% 0.19/0.50 SPASS allocated 97914 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.13 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.01 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.03 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 4, length 17 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : apart3 con cp1 cp2 a3 p1 ax6 ceq2
% 0.19/0.50
%------------------------------------------------------------------------------