TSTP Solution File: GEO200+3 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n021.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 06:23:19 EDT 2022
% Result : Theorem 0.20s 0.55s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of clauses : 20 ( 10 unt; 7 nHn; 20 RR)
% Number of literals : 40 ( 0 equ; 14 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 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,
distinct_points(skc2,skc3),
file('GEO200+3.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(u,u),
file('GEO200+3.p',unknown),
[] ).
cnf(14,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO200+3.p',unknown),
[] ).
cnf(21,axiom,
~ equal_lines(line_connecting(skc2,skc3),line_connecting(skc3,skc2)),
file('GEO200+3.p',unknown),
[] ).
cnf(27,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO200+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO200+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO200+3.p',unknown),
[] ).
cnf(48,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('GEO200+3.p',unknown),
[] ).
cnf(49,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc2,v)
| apart_point_and_line(skc2,u) ),
inference(res,[status(thm),theory(equality)],[1,48]),
[iquote('0:Res:1.0,48.0')] ).
cnf(51,plain,
( distinct_points(skc3,u)
| distinct_points(skc2,u) ),
inference(res,[status(thm),theory(equality)],[1,27]),
[iquote('0:Res:1.0,27.0')] ).
cnf(52,plain,
~ apart_point_and_line(skc2,line_connecting(skc2,skc3)),
inference(res,[status(thm),theory(equality)],[1,30]),
[iquote('0:Res:1.0,30.0')] ).
cnf(53,plain,
~ apart_point_and_line(skc3,line_connecting(skc2,skc3)),
inference(res,[status(thm),theory(equality)],[1,31]),
[iquote('0:Res:1.0,31.0')] ).
cnf(55,plain,
distinct_lines(line_connecting(skc2,skc3),line_connecting(skc3,skc2)),
inference(res,[status(thm),theory(equality)],[14,21]),
[iquote('0:Res:14.1,21.0')] ).
cnf(60,plain,
distinct_points(skc3,skc2),
inference(res,[status(thm),theory(equality)],[51,2]),
[iquote('0:Res:51.1,2.0')] ).
cnf(922,plain,
( apart_point_and_line(skc3,line_connecting(skc2,skc3))
| apart_point_and_line(skc3,line_connecting(skc3,skc2))
| apart_point_and_line(skc2,line_connecting(skc3,skc2))
| apart_point_and_line(skc2,line_connecting(skc2,skc3)) ),
inference(res,[status(thm),theory(equality)],[55,49]),
[iquote('0:Res:55.0,49.0')] ).
cnf(934,plain,
( apart_point_and_line(skc3,line_connecting(skc3,skc2))
| apart_point_and_line(skc2,line_connecting(skc3,skc2)) ),
inference(mrr,[status(thm)],[922,53,52]),
[iquote('0:MRR:922.0,922.3,53.0,52.0')] ).
cnf(1187,plain,
( ~ distinct_points(skc3,skc2)
| apart_point_and_line(skc3,line_connecting(skc3,skc2)) ),
inference(res,[status(thm),theory(equality)],[934,31]),
[iquote('0:Res:934.1,31.1')] ).
cnf(1191,plain,
apart_point_and_line(skc3,line_connecting(skc3,skc2)),
inference(mrr,[status(thm)],[1187,60]),
[iquote('0:MRR:1187.0,60.0')] ).
cnf(1195,plain,
~ distinct_points(skc3,skc2),
inference(res,[status(thm),theory(equality)],[1191,30]),
[iquote('0:Res:1191.0,30.1')] ).
cnf(1196,plain,
$false,
inference(mrr,[status(thm)],[1195,60]),
[iquote('0:MRR:1195.0,60.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO200+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n021.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Fri Jun 17 23:15:16 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.55
% 0.20/0.55 SPASS V 3.9
% 0.20/0.55 SPASS beiseite: Proof found.
% 0.20/0.55 % SZS status Theorem
% 0.20/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.55 SPASS derived 1128 clauses, backtracked 0 clauses, performed 0 splits and kept 640 clauses.
% 0.20/0.55 SPASS allocated 98305 KBytes.
% 0.20/0.55 SPASS spent 0:00:00.19 on the problem.
% 0.20/0.55 0:00:00.03 for the input.
% 0.20/0.55 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.55 0:00:00.01 for inferences.
% 0.20/0.55 0:00:00.00 for the backtracking.
% 0.20/0.55 0:00:00.09 for the reduction.
% 0.20/0.55
% 0.20/0.55
% 0.20/0.55 Here is a proof with depth 4, length 20 :
% 0.20/0.55 % SZS output start Refutation
% See solution above
% 0.20/0.55 Formulae used in the proof : con apart1 ax2 apart4 ci1 ci2 cu1
% 0.20/0.55
%------------------------------------------------------------------------------