TSTP Solution File: GEO182+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO182+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 06:23:03 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of clauses : 22 ( 11 unt; 7 nHn; 22 RR)
% Number of literals : 44 ( 0 equ; 16 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc3,skc4),
file('GEO182+1.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(u,u),
file('GEO182+1.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO182+1.p',unknown),
[] ).
cnf(6,axiom,
~ apart_point_and_line(skc5,line_connecting(skc4,skc3)),
file('GEO182+1.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO182+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO182+1.p',unknown),
[] ).
cnf(11,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO182+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO182+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ distinct_lines(u,v)
| ~ distinct_points(w,x)
| apart_point_and_line(x,u)
| apart_point_and_line(x,v)
| apart_point_and_line(w,v)
| apart_point_and_line(w,u) ),
file('GEO182+1.p',unknown),
[] ).
cnf(18,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc4,u)
| apart_point_and_line(skc4,v)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(19,plain,
( distinct_points(skc4,u)
| distinct_points(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(20,plain,
~ apart_point_and_line(skc3,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,10]),
[iquote('0:Res:1.0,10.0')] ).
cnf(21,plain,
~ apart_point_and_line(skc4,line_connecting(skc3,skc4)),
inference(res,[status(thm),theory(equality)],[1,11]),
[iquote('0:Res:1.0,11.0')] ).
cnf(25,plain,
( ~ apart_point_and_line(skc5,u)
| distinct_lines(u,line_connecting(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[15,6]),
[iquote('0:Res:15.1,6.0')] ).
cnf(30,plain,
distinct_lines(line_connecting(skc3,skc4),line_connecting(skc4,skc3)),
inference(res,[status(thm),theory(equality)],[5,25]),
[iquote('0:Res:5.0,25.0')] ).
cnf(56,plain,
distinct_points(skc4,skc3),
inference(res,[status(thm),theory(equality)],[19,2]),
[iquote('0:Res:19.1,2.0')] ).
cnf(156,plain,
( apart_point_and_line(skc4,line_connecting(skc3,skc4))
| apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc3,skc4)) ),
inference(res,[status(thm),theory(equality)],[30,18]),
[iquote('0:Res:30.0,18.0')] ).
cnf(159,plain,
( apart_point_and_line(skc4,line_connecting(skc4,skc3))
| apart_point_and_line(skc3,line_connecting(skc4,skc3)) ),
inference(mrr,[status(thm)],[156,21,20]),
[iquote('0:MRR:156.0,156.3,21.0,20.0')] ).
cnf(232,plain,
( ~ distinct_points(skc4,skc3)
| apart_point_and_line(skc4,line_connecting(skc4,skc3)) ),
inference(res,[status(thm),theory(equality)],[159,11]),
[iquote('0:Res:159.1,11.1')] ).
cnf(235,plain,
apart_point_and_line(skc4,line_connecting(skc4,skc3)),
inference(mrr,[status(thm)],[232,56]),
[iquote('0:MRR:232.0,56.0')] ).
cnf(237,plain,
~ distinct_points(skc4,skc3),
inference(res,[status(thm),theory(equality)],[235,10]),
[iquote('0:Res:235.0,10.1')] ).
cnf(240,plain,
$false,
inference(mrr,[status(thm)],[237,56]),
[iquote('0:MRR:237.0,56.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO182+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % 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 02:36:32 EDT 2022
% 0.12/0.33 % 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/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 189 clauses, backtracked 0 clauses, performed 0 splits and kept 102 clauses.
% 0.19/0.45 SPASS allocated 85218 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 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 5, length 22 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con apart1 apart4 ci1 ci2 ceq2 cu1
% 0.19/0.45
%------------------------------------------------------------------------------