%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n015.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 06:23:14 EDT 2022
% Result : Theorem 0.60s 0.85s
% Output : Refutation 0.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 12
% Syntax : Number of clauses : 37 ( 11 unt; 20 nHn; 37 RR)
% Number of literals : 90 ( 0 equ; 26 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
convergent_lines(skc5,skc3),
file('GEO195+2.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_points(u,u),
file('GEO195+2.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(u,u),
file('GEO195+2.p',unknown),
[] ).
cnf(7,axiom,
apart_point_and_line(intersection_point(skc5,skc3),skc4),
file('GEO195+2.p',unknown),
[] ).
cnf(8,axiom,
~ apart_point_and_line(intersection_point(skc3,skc5),skc4),
file('GEO195+2.p',unknown),
[] ).
cnf(9,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(u,v) ),
file('GEO195+2.p',unknown),
[] ).
cnf(10,axiom,
( ~ distinct_points(u,v)
| distinct_points(v,w)
| distinct_points(u,w) ),
file('GEO195+2.p',unknown),
[] ).
cnf(12,axiom,
( ~ convergent_lines(u,v)
| convergent_lines(v,w)
| convergent_lines(u,w) ),
file('GEO195+2.p',unknown),
[] ).
cnf(13,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO195+2.p',unknown),
[] ).
cnf(17,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO195+2.p',unknown),
[] ).
cnf(18,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(w,intersection_point(u,v)) ),
file('GEO195+2.p',unknown),
[] ).
cnf(19,axiom,
( ~ distinct_lines(u,v)
| ~ distinct_points(w,x)
| apart_point_and_line(x,u)
| apart_point_and_line(x,v)
| apart_point_and_line(w,v)
| apart_point_and_line(w,u) ),
file('GEO195+2.p',unknown),
[] ).
cnf(28,plain,
( convergent_lines(skc3,u)
| convergent_lines(skc5,u) ),
inference(res,[status(thm),theory(equality)],[1,12]),
[iquote('0:Res:1.0,12.0')] ).
cnf(29,plain,
distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[1,9]),
[iquote('0:Res:1.0,9.0')] ).
cnf(30,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(u,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,17]),
[iquote('0:Res:1.0,17.1')] ).
cnf(31,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(u,intersection_point(skc5,skc3)) ),
inference(res,[status(thm),theory(equality)],[1,18]),
[iquote('0:Res:1.0,18.1')] ).
cnf(34,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc5,skc3),u) ),
inference(res,[status(thm),theory(equality)],[7,13]),
[iquote('0:Res:7.0,13.0')] ).
cnf(39,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(u,intersection_point(skc3,skc5)) ),
inference(res,[status(thm),theory(equality)],[13,8]),
[iquote('0:Res:13.2,8.0')] ).
cnf(48,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc3),
inference(res,[status(thm),theory(equality)],[31,4]),
[iquote('0:Res:31.1,4.0')] ).
cnf(64,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,v)
| convergent_lines(skc3,v) ),
inference(res,[status(thm),theory(equality)],[28,12]),
[iquote('0:Res:28.0,12.0')] ).
cnf(66,plain,
~ apart_point_and_line(intersection_point(skc5,skc3),skc5),
inference(res,[status(thm),theory(equality)],[30,4]),
[iquote('0:Res:30.1,4.0')] ).
cnf(71,plain,
( ~ apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc3,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[39,10]),
[iquote('0:Res:39.1,10.0')] ).
cnf(104,plain,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,v)
| distinct_points(intersection_point(u,v),x)
| distinct_points(w,x) ),
inference(res,[status(thm),theory(equality)],[18,10]),
[iquote('0:Res:18.2,10.0')] ).
cnf(124,plain,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(w,u)
| distinct_points(intersection_point(u,v),x)
| distinct_points(w,x) ),
inference(res,[status(thm),theory(equality)],[17,10]),
[iquote('0:Res:17.2,10.0')] ).
cnf(129,plain,
( convergent_lines(skc5,u)
| convergent_lines(u,skc3) ),
inference(res,[status(thm),theory(equality)],[64,6]),
[iquote('0:Res:64.2,6.0')] ).
cnf(131,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,v)
| convergent_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[129,12]),
[iquote('0:Res:129.0,12.0')] ).
cnf(189,plain,
( ~ distinct_points(u,v)
| apart_point_and_line(v,skc5)
| apart_point_and_line(v,skc3)
| apart_point_and_line(u,skc3)
| apart_point_and_line(u,skc5) ),
inference(res,[status(thm),theory(equality)],[29,19]),
[iquote('0:Res:29.0,19.0')] ).
cnf(248,plain,
( convergent_lines(u,skc3)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[131,6]),
[iquote('0:Res:131.2,6.0')] ).
cnf(254,plain,
convergent_lines(skc3,skc5),
inference(res,[status(thm),theory(equality)],[248,6]),
[iquote('0:Res:248.0,6.0')] ).
cnf(494,plain,
( ~ apart_point_and_line(u,skc5)
| distinct_points(intersection_point(skc3,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[254,104]),
[iquote('0:Res:254.0,104.0')] ).
cnf(561,plain,
( ~ apart_point_and_line(u,skc3)
| distinct_points(intersection_point(skc3,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[254,124]),
[iquote('0:Res:254.0,124.0')] ).
cnf(1682,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc3)
| apart_point_and_line(intersection_point(skc5,skc3),skc3)
| apart_point_and_line(intersection_point(skc5,skc3),skc5) ),
inference(res,[status(thm),theory(equality)],[34,189]),
[iquote('0:Res:34.1,189.0')] ).
cnf(1708,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5)
| apart_point_and_line(u,skc3) ),
inference(mrr,[status(thm)],[1682,48,66]),
[iquote('0:MRR:1682.3,1682.4,48.0,66.0')] ).
cnf(1861,plain,
( apart_point_and_line(u,skc4)
| apart_point_and_line(u,skc5)
| distinct_points(intersection_point(skc3,skc5),v)
| distinct_points(u,v) ),
inference(res,[status(thm),theory(equality)],[1708,561]),
[iquote('0:Res:1708.2,561.0')] ).
cnf(1870,plain,
( distinct_points(intersection_point(skc3,skc5),u)
| distinct_points(v,u) ),
inference(mrr,[status(thm)],[1861,71,494]),
[iquote('0:MRR:1861.0,1861.1,71.0,494.0')] ).
cnf(1872,plain,
distinct_points(intersection_point(skc3,skc5),u),
inference(fac,[status(thm)],[1870]),
[iquote('0:Fac:1870.0,1870.1')] ).
cnf(1887,plain,
$false,
inference(unc,[status(thm)],[1872,4]),
[iquote('0:UnC:1872.0,4.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GEO195+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n015.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jun 17 19:01:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.60/0.85
% 0.60/0.85 SPASS V 3.9
% 0.60/0.85 SPASS beiseite: Proof found.
% 0.60/0.85 % SZS status Theorem
% 0.60/0.85 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.60/0.85 SPASS derived 1741 clauses, backtracked 0 clauses, performed 0 splits and kept 884 clauses.
% 0.60/0.85 SPASS allocated 86084 KBytes.
% 0.60/0.85 SPASS spent 0:00:00.49 on the problem.
% 0.60/0.85 0:00:00.03 for the input.
% 0.60/0.85 0:00:00.03 for the FLOTTER CNF translation.
% 0.60/0.85 0:00:00.03 for inferences.
% 0.60/0.85 0:00:00.00 for the backtracking.
% 0.60/0.85 0:00:00.38 for the reduction.
% 0.60/0.85
% 0.60/0.85
% 0.60/0.85 Here is a proof with depth 9, length 37 :
% 0.60/0.85 % SZS output start Refutation
% See solution above
% 0.60/0.85 Formulae used in the proof : con apart1 apart3 ceq3 apart4 apart6 ceq1 con2 cu1
% 0.60/0.85
%------------------------------------------------------------------------------