TSTP Solution File: GEO174+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n032.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 06:22:57 EDT 2022
% Result : Theorem 0.15s 0.39s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 8 unt; 2 nHn; 13 RR)
% Number of literals : 19 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 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(skc7,skc6),
file('GEO174+3.p',unknown),
[] ).
cnf(6,axiom,
( apart_point_and_line(skc6,skc4)
| apart_point_and_line(skc7,skc4) ),
file('GEO174+3.p',unknown),
[] ).
cnf(7,axiom,
~ distinct_lines(skc4,line_connecting(skc7,skc6)),
file('GEO174+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO174+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO174+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO174+3.p',unknown),
[] ).
cnf(63,plain,
~ apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,32]),
[iquote('0:Res:1.0,32.0')] ).
cnf(64,plain,
~ apart_point_and_line(skc6,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[1,33]),
[iquote('0:Res:1.0,33.0')] ).
cnf(69,plain,
( ~ apart_point_and_line(u,skc4)
| apart_point_and_line(u,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[37,7]),
[iquote('0:Res:37.2,7.0')] ).
cnf(179,plain,
~ apart_point_and_line(skc6,skc4),
inference(res,[status(thm),theory(equality)],[69,64]),
[iquote('0:Res:69.1,64.0')] ).
cnf(180,plain,
~ apart_point_and_line(skc7,skc4),
inference(res,[status(thm),theory(equality)],[69,63]),
[iquote('0:Res:69.1,63.0')] ).
cnf(183,plain,
apart_point_and_line(skc7,skc4),
inference(mrr,[status(thm)],[6,179]),
[iquote('0:MRR:6.0,179.0')] ).
cnf(184,plain,
$false,
inference(mrr,[status(thm)],[180,183]),
[iquote('0:MRR:180.0,183.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : GEO174+3 : TPTP v8.1.0. Released v4.0.0.
% 0.05/0.11 % Command : run_spass %d %s
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Sat Jun 18 11:14:17 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.39
% 0.15/0.39 SPASS V 3.9
% 0.15/0.39 SPASS beiseite: Proof found.
% 0.15/0.39 % SZS status Theorem
% 0.15/0.39 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 SPASS derived 129 clauses, backtracked 0 clauses, performed 0 splits and kept 137 clauses.
% 0.15/0.39 SPASS allocated 97749 KBytes.
% 0.15/0.39 SPASS spent 0:00:00.08 on the problem.
% 0.15/0.39 0:00:00.03 for the input.
% 0.15/0.39 0:00:00.02 for the FLOTTER CNF translation.
% 0.15/0.39 0:00:00.00 for inferences.
% 0.15/0.39 0:00:00.00 for the backtracking.
% 0.15/0.39 0:00:00.00 for the reduction.
% 0.15/0.39
% 0.15/0.39
% 0.15/0.39 Here is a proof with depth 2, length 13 :
% 0.15/0.39 % SZS output start Refutation
% See solution above
% 0.15/0.39 Formulae used in the proof : con ci1 ci2 ceq2
% 0.15/0.39
%------------------------------------------------------------------------------