TSTP Solution File: GEO179+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 06:23:01 EDT 2022
% Result : Theorem 0.20s 0.47s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 8 unt; 6 nHn; 17 RR)
% Number of literals : 29 ( 0 equ; 10 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
~ distinct_lines(u,u),
file('GEO179+3.p',unknown),
[] ).
cnf(5,axiom,
apart_point_and_line(skc5,line_connecting(skc3,skc4)),
file('GEO179+3.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO179+3.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO179+3.p',unknown),
[] ).
cnf(15,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO179+3.p',unknown),
[] ).
cnf(19,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO179+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO179+3.p',unknown),
[] ).
cnf(28,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO179+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO179+3.p',unknown),
[] ).
cnf(57,plain,
( apart_point_and_line(skc5,u)
| distinct_lines(line_connecting(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[5,35]),
[iquote('0:Res:5.0,35.0')] ).
cnf(78,plain,
~ distinct_lines(parallel_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[19,6]),
[iquote('0:Res:19.1,6.0')] ).
cnf(88,plain,
( ~ equal_lines(line_connecting(skc3,skc4),u)
| apart_point_and_line(skc5,u) ),
inference(res,[status(thm),theory(equality)],[57,23]),
[iquote('0:Res:57.1,23.0')] ).
cnf(140,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[15,28]),
[iquote('0:Res:15.1,28.0')] ).
cnf(453,plain,
( equal_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[140,3]),
[iquote('0:Res:140.2,3.0')] ).
cnf(472,plain,
equal_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[453,78]),
[iquote('0:Res:453.1,78.0')] ).
cnf(474,plain,
apart_point_and_line(skc5,parallel_through_point(line_connecting(skc3,skc4),u)),
inference(res,[status(thm),theory(equality)],[472,88]),
[iquote('0:Res:472.0,88.0')] ).
cnf(475,plain,
$false,
inference(unc,[status(thm)],[474,7]),
[iquote('0:UnC:474.0,7.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO179+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n026.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 : Fri Jun 17 19:35:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47
% 0.20/0.47 SPASS V 3.9
% 0.20/0.47 SPASS beiseite: Proof found.
% 0.20/0.47 % SZS status Theorem
% 0.20/0.47 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 SPASS derived 406 clauses, backtracked 0 clauses, performed 0 splits and kept 299 clauses.
% 0.20/0.47 SPASS allocated 97866 KBytes.
% 0.20/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.47 0:00:00.04 for the input.
% 0.20/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.47 0:00:00.00 for inferences.
% 0.20/0.47 0:00:00.00 for the backtracking.
% 0.20/0.47 0:00:00.02 for the reduction.
% 0.20/0.47
% 0.20/0.47
% 0.20/0.47 Here is a proof with depth 4, length 17 :
% 0.20/0.47 % SZS output start Refutation
% See solution above
% 0.20/0.47 Formulae used in the proof : apart2 con cp1 cp2 ax2 p1 apart5 ceq2
% 0.20/0.47
%------------------------------------------------------------------------------