TSTP Solution File: GEO191+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n025.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 06:23:11 EDT 2022
% Result : Theorem 0.18s 0.58s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of clauses : 27 ( 12 unt; 13 nHn; 27 RR)
% Number of literals : 48 ( 0 equ; 12 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 : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO191+3.p',unknown),
[] ).
cnf(8,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO191+3.p',unknown),
[] ).
cnf(9,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO191+3.p',unknown),
[] ).
cnf(17,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO191+3.p',unknown),
[] ).
cnf(21,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO191+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO191+3.p',unknown),
[] ).
cnf(29,axiom,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(intersection_point(skc7,skc6),skc4) ),
file('GEO191+3.p',unknown),
[] ).
cnf(31,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO191+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| apart_point_and_line(w,v)
| distinct_points(u,w) ),
file('GEO191+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO191+3.p',unknown),
[] ).
cnf(274,plain,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[29,37]),
[iquote('0:Res:29.1,37.0')] ).
cnf(396,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[17,31]),
[iquote('0:Res:17.1,31.0')] ).
cnf(408,plain,
( apart_point_and_line(intersection_point(skc7,skc6),skc5)
| distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[29,38]),
[iquote('0:Res:29.1,38.0')] ).
cnf(756,plain,
( equal_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[396,4]),
[iquote('0:Res:396.2,4.0')] ).
cnf(767,plain,
( equal_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[756,21]),
[iquote('0:Res:756.1,21.0')] ).
cnf(769,plain,
equal_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[767,8]),
[iquote('0:Res:767.1,8.0')] ).
cnf(887,plain,
apart_point_and_line(intersection_point(skc7,skc6),skc5),
inference(spt,[spt(split,[position(s1)])],[274]),
[iquote('1:Spt:274.0')] ).
cnf(888,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc7,skc6),u) ),
inference(res,[status(thm),theory(equality)],[887,38]),
[iquote('1:Res:887.0,38.0')] ).
cnf(1337,plain,
distinct_lines(skc5,parallel_through_point(u,intersection_point(skc7,skc6))),
inference(res,[status(thm),theory(equality)],[888,9]),
[iquote('1:Res:888.1,9.0')] ).
cnf(1361,plain,
~ equal_lines(skc5,parallel_through_point(u,intersection_point(skc7,skc6))),
inference(res,[status(thm),theory(equality)],[1337,25]),
[iquote('1:Res:1337.0,25.0')] ).
cnf(1363,plain,
$false,
inference(unc,[status(thm)],[1361,769]),
[iquote('1:UnC:1361.0,769.0')] ).
cnf(1364,plain,
~ apart_point_and_line(intersection_point(skc7,skc6),skc5),
inference(spt,[spt(split,[position(sa)])],[1363,887]),
[iquote('1:Spt:1363.0,274.0,887.0')] ).
cnf(1365,plain,
( apart_point_and_line(u,skc4)
| distinct_points(intersection_point(skc7,skc6),u) ),
inference(spt,[spt(split,[position(s2)])],[274]),
[iquote('1:Spt:1363.0,274.1,274.2')] ).
cnf(1368,plain,
( distinct_lines(skc4,u)
| apart_point_and_line(intersection_point(skc7,skc6),u) ),
inference(mrr,[status(thm)],[408,1364]),
[iquote('1:MRR:408.0,1364.0')] ).
cnf(1419,plain,
distinct_lines(skc4,parallel_through_point(u,intersection_point(skc7,skc6))),
inference(res,[status(thm),theory(equality)],[1368,9]),
[iquote('1:Res:1368.1,9.0')] ).
cnf(1447,plain,
~ equal_lines(skc4,parallel_through_point(u,intersection_point(skc7,skc6))),
inference(res,[status(thm),theory(equality)],[1419,25]),
[iquote('1:Res:1419.0,25.0')] ).
cnf(1449,plain,
$false,
inference(unc,[status(thm)],[1447,769]),
[iquote('1:UnC:1447.0,769.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO191+3 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sat Jun 18 06:12:28 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.58
% 0.18/0.58 SPASS V 3.9
% 0.18/0.58 SPASS beiseite: Proof found.
% 0.18/0.58 % SZS status Theorem
% 0.18/0.58 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.58 SPASS derived 1344 clauses, backtracked 14 clauses, performed 1 splits and kept 991 clauses.
% 0.18/0.58 SPASS allocated 98487 KBytes.
% 0.18/0.58 SPASS spent 0:00:00.23 on the problem.
% 0.18/0.58 0:00:00.03 for the input.
% 0.18/0.58 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.58 0:00:00.01 for inferences.
% 0.18/0.58 0:00:00.00 for the backtracking.
% 0.18/0.58 0:00:00.12 for the reduction.
% 0.18/0.58
% 0.18/0.58
% 0.18/0.58 Here is a proof with depth 5, length 27 :
% 0.18/0.58 % SZS output start Refutation
% See solution above
% 0.18/0.58 Formulae used in the proof : apart2 cp1 cp2 ax2 p1 con apart5 ceq1 ceq2
% 0.18/0.58
%------------------------------------------------------------------------------