TSTP Solution File: GEO194+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 06:23:13 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 23 ( 12 unt; 8 nHn; 23 RR)
% Number of literals : 47 ( 0 equ; 20 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 : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc5,skc3),
file('GEO194+1.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc5,skc4),
file('GEO194+1.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO194+1.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO194+1.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc5,skc4),skc3),
file('GEO194+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO194+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO194+1.p',unknown),
[] ).
cnf(16,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO194+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO194+1.p',unknown),
[] ).
cnf(19,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('GEO194+1.p',unknown),
[] ).
cnf(25,plain,
~ apart_point_and_line(intersection_point(skc5,skc4),skc5),
inference(res,[status(thm),theory(equality)],[2,14]),
[iquote('0:Res:2.0,14.0')] ).
cnf(26,plain,
~ apart_point_and_line(intersection_point(skc5,skc4),skc4),
inference(res,[status(thm),theory(equality)],[2,15]),
[iquote('0:Res:2.0,15.0')] ).
cnf(29,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(30,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.0')] ).
cnf(31,plain,
( distinct_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.0')] ).
cnf(32,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[7,16]),
[iquote('0:Res:7.0,16.0')] ).
cnf(39,plain,
( ~ distinct_points(u,intersection_point(skc5,skc4))
| ~ distinct_lines(skc3,v)
| apart_point_and_line(u,v)
| apart_point_and_line(u,skc3)
| apart_point_and_line(intersection_point(skc5,skc4),v) ),
inference(res,[status(thm),theory(equality)],[19,8]),
[iquote('0:Res:19.5,8.0')] ).
cnf(235,plain,
( ~ distinct_lines(skc3,u)
| apart_point_and_line(intersection_point(skc5,skc4),skc4)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc3),skc3)
| apart_point_and_line(intersection_point(skc5,skc4),u) ),
inference(res,[status(thm),theory(equality)],[32,39]),
[iquote('0:Res:32.1,39.0')] ).
cnf(236,plain,
( ~ distinct_lines(skc3,u)
| apart_point_and_line(intersection_point(skc5,skc3),u)
| apart_point_and_line(intersection_point(skc5,skc4),u) ),
inference(mrr,[status(thm)],[235,26,30]),
[iquote('0:MRR:235.1,235.3,26.0,30.0')] ).
cnf(485,plain,
( ~ distinct_lines(skc3,skc5)
| apart_point_and_line(intersection_point(skc5,skc4),skc5) ),
inference(res,[status(thm),theory(equality)],[236,29]),
[iquote('0:Res:236.1,29.0')] ).
cnf(494,plain,
~ distinct_lines(skc3,skc5),
inference(mrr,[status(thm)],[485,25]),
[iquote('0:MRR:485.1,25.0')] ).
cnf(498,plain,
convergent_lines(skc5,skc5),
inference(res,[status(thm),theory(equality)],[31,494]),
[iquote('0:Res:31.0,494.0')] ).
cnf(517,plain,
$false,
inference(mrr,[status(thm)],[498,6]),
[iquote('0:MRR:498.0,6.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO194+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sat Jun 18 11:25:38 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.21/0.51
% 0.21/0.51 SPASS V 3.9
% 0.21/0.51 SPASS beiseite: Proof found.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.51 SPASS derived 467 clauses, backtracked 0 clauses, performed 0 splits and kept 289 clauses.
% 0.21/0.51 SPASS allocated 85337 KBytes.
% 0.21/0.51 SPASS spent 0:00:00.15 on the problem.
% 0.21/0.51 0:00:00.04 for the input.
% 0.21/0.51 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.51 0:00:00.01 for inferences.
% 0.21/0.51 0:00:00.00 for the backtracking.
% 0.21/0.51 0:00:00.05 for the reduction.
% 0.21/0.51
% 0.21/0.51
% 0.21/0.51 Here is a proof with depth 4, length 23 :
% 0.21/0.51 % SZS output start Refutation
% See solution above
% 0.21/0.51 Formulae used in the proof : con apart3 ci3 ci4 ceq1 ceq3 cu1
% 0.21/0.51
%------------------------------------------------------------------------------