TSTP Solution File: GEO225+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n010.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 06:23:40 EDT 2022
% Result : Theorem 0.18s 0.43s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of clauses : 11 ( 5 unt; 2 nHn; 11 RR)
% Number of literals : 19 ( 0 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
distinct_points(skc3,skc2),
file('GEO225+2.p',unknown),
[] ).
cnf(5,axiom,
~ distinct_points(u,u),
file('GEO225+2.p',unknown),
[] ).
cnf(8,axiom,
( apart_point_and_line(skc2,u)
| apart_point_and_line(skc3,u) ),
file('GEO225+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO225+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO225+2.p',unknown),
[] ).
cnf(27,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc2))
| distinct_points(u,skc3) ),
inference(res,[status(thm),theory(equality)],[4,17]),
[iquote('0:Res:4.0,17.1')] ).
cnf(28,plain,
( ~ apart_point_and_line(u,line_connecting(skc3,skc2))
| distinct_points(u,skc2) ),
inference(res,[status(thm),theory(equality)],[4,18]),
[iquote('0:Res:4.0,18.1')] ).
cnf(35,plain,
( apart_point_and_line(skc3,line_connecting(skc3,skc2))
| distinct_points(skc2,skc2) ),
inference(res,[status(thm),theory(equality)],[8,28]),
[iquote('0:Res:8.0,28.0')] ).
cnf(36,plain,
apart_point_and_line(skc3,line_connecting(skc3,skc2)),
inference(mrr,[status(thm)],[35,5]),
[iquote('0:MRR:35.1,5.0')] ).
cnf(39,plain,
distinct_points(skc3,skc3),
inference(res,[status(thm),theory(equality)],[36,27]),
[iquote('0:Res:36.0,27.0')] ).
cnf(40,plain,
$false,
inference(mrr,[status(thm)],[39,5]),
[iquote('0:MRR:39.0,5.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO225+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n010.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 17 21:00:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.43
% 0.18/0.43 SPASS V 3.9
% 0.18/0.43 SPASS beiseite: Proof found.
% 0.18/0.43 % SZS status Theorem
% 0.18/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.43 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.18/0.43 SPASS allocated 97657 KBytes.
% 0.18/0.43 SPASS spent 0:00:00.08 on the problem.
% 0.18/0.43 0:00:00.03 for the input.
% 0.18/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43 0:00:00.00 for inferences.
% 0.18/0.43 0:00:00.00 for the backtracking.
% 0.18/0.43 0:00:00.00 for the reduction.
% 0.18/0.43
% 0.18/0.43
% 0.18/0.43 Here is a proof with depth 3, length 11 :
% 0.18/0.43 % SZS output start Refutation
% See solution above
% 0.18/0.43 Formulae used in the proof : con apart1 con1
% 0.18/0.43
%------------------------------------------------------------------------------