%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n027.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 06:23:04 EDT 2022
% Result : Theorem 0.38s 0.55s
% Output : Refutation 0.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 18 ( 9 unt; 5 nHn; 18 RR)
% Number of literals : 29 ( 0 equ; 13 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 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('GEO183+3.p',unknown),
[] ).
cnf(6,axiom,
equal_lines(skc4,line_connecting(skc7,skc6)),
file('GEO183+3.p',unknown),
[] ).
cnf(18,axiom,
( incident_point_and_line(u,v)
| apart_point_and_line(u,v) ),
file('GEO183+3.p',unknown),
[] ).
cnf(23,axiom,
( ~ incident_point_and_line(skc6,skc4)
| ~ incident_point_and_line(skc7,skc4) ),
file('GEO183+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO183+3.p',unknown),
[] ).
cnf(32,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(u,line_connecting(u,v)) ),
file('GEO183+3.p',unknown),
[] ).
cnf(33,axiom,
( ~ distinct_points(u,v)
| ~ apart_point_and_line(v,line_connecting(u,v)) ),
file('GEO183+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO183+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(66,plain,
~ distinct_lines(skc4,line_connecting(skc7,skc6)),
inference(res,[status(thm),theory(equality)],[6,25]),
[iquote('0:Res:6.0,25.0')] ).
cnf(271,plain,
( incident_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
inference(res,[status(thm),theory(equality)],[18,37]),
[iquote('0:Res:18.1,37.0')] ).
cnf(712,plain,
( incident_point_and_line(skc6,u)
| distinct_lines(u,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[271,64]),
[iquote('0:Res:271.2,64.0')] ).
cnf(713,plain,
( incident_point_and_line(skc7,u)
| distinct_lines(u,line_connecting(skc7,skc6)) ),
inference(res,[status(thm),theory(equality)],[271,63]),
[iquote('0:Res:271.2,63.0')] ).
cnf(950,plain,
incident_point_and_line(skc6,skc4),
inference(res,[status(thm),theory(equality)],[712,66]),
[iquote('0:Res:712.1,66.0')] ).
cnf(957,plain,
~ incident_point_and_line(skc7,skc4),
inference(mrr,[status(thm)],[23,950]),
[iquote('0:MRR:23.0,950.0')] ).
cnf(959,plain,
incident_point_and_line(skc7,skc4),
inference(res,[status(thm),theory(equality)],[713,66]),
[iquote('0:Res:713.1,66.0')] ).
cnf(966,plain,
$false,
inference(mrr,[status(thm)],[959,957]),
[iquote('0:MRR:959.0,957.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO183+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n027.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 12:55:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.38/0.55
% 0.38/0.55 SPASS V 3.9
% 0.38/0.55 SPASS beiseite: Proof found.
% 0.38/0.55 % SZS status Theorem
% 0.38/0.55 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.38/0.55 SPASS derived 901 clauses, backtracked 0 clauses, performed 0 splits and kept 643 clauses.
% 0.38/0.55 SPASS allocated 98189 KBytes.
% 0.38/0.55 SPASS spent 0:00:00.20 on the problem.
% 0.38/0.55 0:00:00.04 for the input.
% 0.38/0.55 0:00:00.03 for the FLOTTER CNF translation.
% 0.38/0.55 0:00:00.01 for inferences.
% 0.38/0.55 0:00:00.00 for the backtracking.
% 0.38/0.55 0:00:00.09 for the reduction.
% 0.38/0.55
% 0.38/0.55
% 0.38/0.55 Here is a proof with depth 3, length 18 :
% 0.38/0.55 % SZS output start Refutation
% See solution above
% 0.38/0.55 Formulae used in the proof : con a4 ax2 ci1 ci2 ceq2
% 0.38/0.55
%------------------------------------------------------------------------------