TSTP Solution File: GEO189+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% 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 06:23:09 EDT 2022
% Result : Theorem 0.20s 0.48s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 9 unt; 7 nHn; 19 RR)
% Number of literals : 32 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 5 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(5,axiom,
~ distinct_lines(u,u),
file('GEO189+3.p',unknown),
[] ).
cnf(8,axiom,
~ incident_point_and_line(skc3,line_connecting(skc5,skc4)),
file('GEO189+3.p',unknown),
[] ).
cnf(9,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO189+3.p',unknown),
[] ).
cnf(10,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO189+3.p',unknown),
[] ).
cnf(18,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO189+3.p',unknown),
[] ).
cnf(20,axiom,
( incident_point_and_line(u,v)
| apart_point_and_line(u,v) ),
file('GEO189+3.p',unknown),
[] ).
cnf(22,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO189+3.p',unknown),
[] ).
cnf(26,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO189+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO189+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO189+3.p',unknown),
[] ).
cnf(71,plain,
apart_point_and_line(skc3,line_connecting(skc5,skc4)),
inference(res,[status(thm),theory(equality)],[20,8]),
[iquote('0:Res:20.1,8.0')] ).
cnf(98,plain,
~ distinct_lines(parallel_through_point(u,v),u),
inference(res,[status(thm),theory(equality)],[22,9]),
[iquote('0:Res:22.1,9.0')] ).
cnf(149,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[18,31]),
[iquote('0:Res:18.1,31.0')] ).
cnf(246,plain,
( distinct_lines(line_connecting(skc5,skc4),u)
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[71,38]),
[iquote('0:Res:71.0,38.0')] ).
cnf(252,plain,
( ~ equal_lines(line_connecting(skc5,skc4),u)
| apart_point_and_line(skc3,u) ),
inference(res,[status(thm),theory(equality)],[246,26]),
[iquote('0:Res:246.0,26.0')] ).
cnf(454,plain,
( equal_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[149,5]),
[iquote('0:Res:149.2,5.0')] ).
cnf(467,plain,
equal_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[454,98]),
[iquote('0:Res:454.1,98.0')] ).
cnf(468,plain,
apart_point_and_line(skc3,parallel_through_point(line_connecting(skc5,skc4),u)),
inference(res,[status(thm),theory(equality)],[467,252]),
[iquote('0:Res:467.0,252.0')] ).
cnf(469,plain,
$false,
inference(unc,[status(thm)],[468,10]),
[iquote('0:UnC:468.0,10.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO189+3 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % 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 03:50:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.48
% 0.20/0.48 SPASS V 3.9
% 0.20/0.48 SPASS beiseite: Proof found.
% 0.20/0.48 % SZS status Theorem
% 0.20/0.48 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.48 SPASS derived 401 clauses, backtracked 0 clauses, performed 0 splits and kept 298 clauses.
% 0.20/0.48 SPASS allocated 97861 KBytes.
% 0.20/0.48 SPASS spent 0:00:00.12 on the problem.
% 0.20/0.48 0:00:00.03 for the input.
% 0.20/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.48 0:00:00.00 for inferences.
% 0.20/0.48 0:00:00.00 for the backtracking.
% 0.20/0.48 0:00:00.02 for the reduction.
% 0.20/0.48
% 0.20/0.48
% 0.20/0.48 Here is a proof with depth 4, length 19 :
% 0.20/0.48 % SZS output start Refutation
% See solution above
% 0.20/0.48 Formulae used in the proof : apart2 con cp1 cp2 ax2 a4 p1 apart5 ceq2
% 0.20/0.48
%------------------------------------------------------------------------------