TSTP Solution File: GEO174+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n008.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 06:22:56 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 7 unt; 4 nHn; 17 RR)
% Number of literals : 30 ( 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+2.p',unknown),
[] ).
cnf(3,axiom,
~ distinct_points(u,u),
file('GEO174+2.p',unknown),
[] ).
cnf(6,axiom,
( apart_point_and_line(skc6,skc4)
| apart_point_and_line(skc7,skc4) ),
file('GEO174+2.p',unknown),
[] ).
cnf(7,axiom,
~ distinct_lines(skc4,line_connecting(skc7,skc6)),
file('GEO174+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO174+2.p',unknown),
[] ).
cnf(14,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,u) ),
file('GEO174+2.p',unknown),
[] ).
cnf(15,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(w,line_connecting(u,v))
| distinct_points(w,v) ),
file('GEO174+2.p',unknown),
[] ).
cnf(25,plain,
( ~ apart_point_and_line(u,line_connecting(skc7,skc6))
| distinct_points(u,skc7) ),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.1')] ).
cnf(26,plain,
( ~ apart_point_and_line(u,line_connecting(skc7,skc6))
| distinct_points(u,skc6) ),
inference(res,[status(thm),theory(equality)],[1,15]),
[iquote('0:Res:1.0,15.1')] ).
cnf(30,plain,
( ~ apart_point_and_line(u,skc4)
| apart_point_and_line(u,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[13,7]),
[iquote('0:Res:13.2,7.0')] ).
cnf(70,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(u,skc6) ),
inference(res,[status(thm),theory(equality)],[30,26]),
[iquote('0:Res:30.1,26.0')] ).
cnf(71,plain,
( apart_point_and_line(skc7,skc4)
| distinct_points(skc6,skc6) ),
inference(res,[status(thm),theory(equality)],[6,70]),
[iquote('0:Res:6.0,70.0')] ).
cnf(72,plain,
apart_point_and_line(skc7,skc4),
inference(mrr,[status(thm)],[71,3]),
[iquote('0:MRR:71.1,3.0')] ).
cnf(75,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(skc7,u) ),
inference(res,[status(thm),theory(equality)],[72,13]),
[iquote('0:Res:72.0,13.0')] ).
cnf(77,plain,
apart_point_and_line(skc7,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[75,7]),
[iquote('0:Res:75.0,7.0')] ).
cnf(105,plain,
distinct_points(skc7,skc7),
inference(res,[status(thm),theory(equality)],[77,25]),
[iquote('0:Res:77.0,25.0')] ).
cnf(106,plain,
$false,
inference(mrr,[status(thm)],[105,3]),
[iquote('0:MRR:105.0,3.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO174+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n008.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 13:33:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 86 clauses, backtracked 0 clauses, performed 0 splits and kept 79 clauses.
% 0.19/0.45 SPASS allocated 85147 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.04 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.00 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 6, length 17 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : con apart1 ceq2 con1
% 0.19/0.45
%------------------------------------------------------------------------------