TSTP Solution File: GEO204+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n014.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 06:23:22 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 39 ( 10 unt; 19 nHn; 39 RR)
% Number of literals : 87 ( 0 equ; 21 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(skc5,skc3),
file('GEO204+2.p',unknown),
[] ).
cnf(2,axiom,
~ distinct_points(skc3,skc4),
file('GEO204+2.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO204+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO204+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO204+2.p',unknown),
[] ).
cnf(8,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO204+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ distinct_points(skc5,skc4)
| distinct_lines(line_connecting(skc5,skc3),line_connecting(skc5,skc4)) ),
file('GEO204+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO204+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO204+2.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('GEO204+2.p',unknown),
[] ).
cnf(18,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc3,v)
| apart_point_and_line(skc5,v)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.0')] ).
cnf(19,plain,
( distinct_points(skc3,u)
| distinct_points(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,7]),
[iquote('0:Res:1.0,7.0')] ).
cnf(21,plain,
( ~ apart_point_and_line(u,line_connecting(skc5,skc3))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.1')] ).
cnf(22,plain,
( ~ distinct_points(u,skc4)
| ~ apart_point_and_line(skc3,line_connecting(u,skc4)) ),
inference(res,[status(thm),theory(equality)],[14,2]),
[iquote('0:Res:14.2,2.0')] ).
cnf(23,plain,
( ~ distinct_points(skc3,u)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.1,2.0')] ).
cnf(26,plain,
( ~ distinct_points(u,skc3)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[7,2]),
[iquote('0:Res:7.2,2.0')] ).
cnf(27,plain,
distinct_points(skc5,skc4),
inference(res,[status(thm),theory(equality)],[1,26]),
[iquote('0:Res:1.0,26.0')] ).
cnf(31,plain,
distinct_lines(line_connecting(skc5,skc3),line_connecting(skc5,skc4)),
inference(mrr,[status(thm)],[12,27]),
[iquote('0:MRR:12.0,27.0')] ).
cnf(35,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc4) ),
inference(res,[status(thm),theory(equality)],[19,23]),
[iquote('0:Res:19.0,23.0')] ).
cnf(42,plain,
( distinct_lines(line_connecting(skc5,skc4),u)
| distinct_lines(line_connecting(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[31,8]),
[iquote('0:Res:31.0,8.0')] ).
cnf(48,plain,
( distinct_points(skc5,u)
| distinct_points(skc4,v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[35,7]),
[iquote('0:Res:35.1,7.0')] ).
cnf(50,plain,
( distinct_points(u,skc4)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[35,7]),
[iquote('0:Res:35.0,7.0')] ).
cnf(60,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3)
| distinct_points(skc4,skc4) ),
inference(res,[status(thm),theory(equality)],[48,26]),
[iquote('0:Res:48.1,26.0')] ).
cnf(67,plain,
( distinct_points(skc5,u)
| distinct_points(u,skc3) ),
inference(mrr,[status(thm)],[60,3]),
[iquote('0:MRR:60.2,3.0')] ).
cnf(68,plain,
( distinct_points(u,skc3)
| distinct_points(u,v)
| distinct_points(skc5,v) ),
inference(res,[status(thm),theory(equality)],[67,7]),
[iquote('0:Res:67.0,7.0')] ).
cnf(97,plain,
( distinct_points(u,skc4)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[50,3]),
[iquote('0:Res:50.2,3.0')] ).
cnf(121,plain,
( distinct_points(u,skc3)
| distinct_points(u,skc5) ),
inference(res,[status(thm),theory(equality)],[68,3]),
[iquote('0:Res:68.2,3.0')] ).
cnf(302,plain,
( distinct_lines(line_connecting(skc5,skc4),u)
| apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u)
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[42,18]),
[iquote('0:Res:42.1,18.0')] ).
cnf(940,plain,
( distinct_lines(line_connecting(skc5,skc4),u)
| apart_point_and_line(skc3,u)
| apart_point_and_line(skc5,u) ),
inference(spt,[spt(split,[position(s1)])],[302]),
[iquote('1:Spt:302.0,302.2,302.3')] ).
cnf(941,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc4))
| apart_point_and_line(skc5,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[940,4]),
[iquote('1:Res:940.0,4.0')] ).
cnf(948,plain,
( ~ distinct_points(skc5,skc4)
| apart_point_and_line(skc5,line_connecting(skc5,skc4)) ),
inference(res,[status(thm),theory(equality)],[941,22]),
[iquote('1:Res:941.0,22.1')] ).
cnf(953,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc4)),
inference(mrr,[status(thm)],[948,27]),
[iquote('1:MRR:948.0,27.0')] ).
cnf(954,plain,
( ~ distinct_points(skc5,skc4)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[953,13]),
[iquote('1:Res:953.0,13.1')] ).
cnf(958,plain,
$false,
inference(mrr,[status(thm)],[954,97,3]),
[iquote('1:MRR:954.0,954.1,97.0,3.0')] ).
cnf(959,plain,
( apart_point_and_line(skc3,line_connecting(skc5,skc3))
| apart_point_and_line(skc5,line_connecting(skc5,skc3)) ),
inference(spt,[spt(split,[position(s2)])],[302]),
[iquote('1:Spt:958.0,302.1,302.4')] ).
cnf(962,plain,
( apart_point_and_line(skc5,line_connecting(skc5,skc3))
| distinct_points(skc3,skc3) ),
inference(res,[status(thm),theory(equality)],[959,21]),
[iquote('1:Res:959.0,21.0')] ).
cnf(967,plain,
apart_point_and_line(skc5,line_connecting(skc5,skc3)),
inference(mrr,[status(thm)],[962,3]),
[iquote('1:MRR:962.1,3.0')] ).
cnf(970,plain,
( ~ distinct_points(skc5,skc3)
| distinct_points(skc5,skc5) ),
inference(res,[status(thm),theory(equality)],[967,13]),
[iquote('1:Res:967.0,13.1')] ).
cnf(975,plain,
$false,
inference(mrr,[status(thm)],[970,121,3]),
[iquote('1:MRR:970.0,970.1,121.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO204+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n014.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 : Sat Jun 18 05:34:34 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.51
% 0.19/0.51 SPASS V 3.9
% 0.19/0.51 SPASS beiseite: Proof found.
% 0.19/0.51 % SZS status Theorem
% 0.19/0.51 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 SPASS derived 861 clauses, backtracked 9 clauses, performed 1 splits and kept 198 clauses.
% 0.19/0.51 SPASS allocated 85500 KBytes.
% 0.19/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.51 0:00:00.04 for the input.
% 0.19/0.51 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.51 0:00:00.01 for inferences.
% 0.19/0.51 0:00:00.00 for the backtracking.
% 0.19/0.51 0:00:00.06 for the reduction.
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 Here is a proof with depth 6, length 39 :
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 Formulae used in the proof : con apart1 apart2 apart4 apart5 con1 cu1
% 0.19/0.51
%------------------------------------------------------------------------------