TSTP Solution File: GEO178+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n003.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 06:23:00 EDT 2022
% Result : Theorem 0.19s 0.44s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 10 ( 5 unt; 0 nHn; 10 RR)
% Number of literals : 17 ( 0 equ; 9 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 : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
distinct_points(skc3,skc4),
file('GEO178+2.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO178+2.p',unknown),
[] ).
cnf(7,axiom,
( ~ distinct_points(skc5,skc3)
| ~ distinct_points(skc5,skc4) ),
file('GEO178+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO178+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO178+2.p',unknown),
[] ).
cnf(26,plain,
( ~ distinct_points(skc3,skc4)
| distinct_points(skc5,skc3) ),
inference(res,[status(thm),theory(equality)],[5,13]),
[iquote('0:Res:5.0,13.0')] ).
cnf(27,plain,
( ~ distinct_points(skc3,skc4)
| distinct_points(skc5,skc4) ),
inference(res,[status(thm),theory(equality)],[5,14]),
[iquote('0:Res:5.0,14.0')] ).
cnf(28,plain,
distinct_points(skc5,skc3),
inference(mrr,[status(thm)],[26,1]),
[iquote('0:MRR:26.0,1.0')] ).
cnf(29,plain,
~ distinct_points(skc5,skc4),
inference(mrr,[status(thm)],[7,28]),
[iquote('0:MRR:7.0,28.0')] ).
cnf(30,plain,
$false,
inference(mrr,[status(thm)],[27,1,29]),
[iquote('0:MRR:27.0,27.1,1.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO178+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n003.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 10:28:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.44
% 0.19/0.44 SPASS V 3.9
% 0.19/0.44 SPASS beiseite: Proof found.
% 0.19/0.44 % SZS status Theorem
% 0.19/0.44 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.44 SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 21 clauses.
% 0.19/0.44 SPASS allocated 85134 KBytes.
% 0.19/0.44 SPASS spent 0:00:00.08 on the problem.
% 0.19/0.44 0:00:00.04 for the input.
% 0.19/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.44 0:00:00.00 for inferences.
% 0.19/0.44 0:00:00.00 for the backtracking.
% 0.19/0.44 0:00:00.00 for the reduction.
% 0.19/0.44
% 0.19/0.44
% 0.19/0.44 Here is a proof with depth 1, length 10 :
% 0.19/0.44 % SZS output start Refutation
% See solution above
% 0.19/0.44 Formulae used in the proof : con con1
% 0.19/0.44
%------------------------------------------------------------------------------