TSTP Solution File: GEO203+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 06:23:22 EDT 2022
% Result : Theorem 0.21s 0.60s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 18
% Syntax : Number of clauses : 45 ( 18 unt; 20 nHn; 45 RR)
% Number of literals : 87 ( 0 equ; 27 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 6 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(1,axiom,
convergent_lines(skc3,skc5),
file('GEO203+3.p',unknown),
[] ).
cnf(2,axiom,
convergent_lines(skc3,skc4),
file('GEO203+3.p',unknown),
[] ).
cnf(4,axiom,
~ distinct_lines(u,u),
file('GEO203+3.p',unknown),
[] ).
cnf(5,axiom,
~ convergent_lines(u,u),
file('GEO203+3.p',unknown),
[] ).
cnf(6,axiom,
~ convergent_lines(parallel_through_point(u,v),u),
file('GEO203+3.p',unknown),
[] ).
cnf(7,axiom,
~ apart_point_and_line(u,parallel_through_point(v,u)),
file('GEO203+3.p',unknown),
[] ).
cnf(15,axiom,
( equal_lines(u,v)
| distinct_lines(u,v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(16,axiom,
( parallel_lines(u,v)
| convergent_lines(u,v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(19,axiom,
distinct_points(intersection_point(skc3,skc5),intersection_point(skc3,skc4)),
file('GEO203+3.p',unknown),
[] ).
cnf(20,axiom,
( ~ distinct_lines(u,v)
| convergent_lines(u,v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(24,axiom,
( ~ distinct_lines(u,v)
| ~ equal_lines(u,v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(25,axiom,
( ~ convergent_lines(u,v)
| ~ parallel_lines(u,v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(30,axiom,
( ~ distinct_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
file('GEO203+3.p',unknown),
[] ).
cnf(34,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),u) ),
file('GEO203+3.p',unknown),
[] ).
cnf(35,axiom,
( ~ convergent_lines(u,v)
| ~ apart_point_and_line(intersection_point(u,v),v) ),
file('GEO203+3.p',unknown),
[] ).
cnf(37,axiom,
( ~ apart_point_and_line(u,v)
| distinct_lines(v,w)
| apart_point_and_line(u,w) ),
file('GEO203+3.p',unknown),
[] ).
cnf(38,axiom,
( ~ convergent_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
file('GEO203+3.p',unknown),
[] ).
cnf(50,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('GEO203+3.p',unknown),
[] ).
cnf(54,plain,
~ apart_point_and_line(intersection_point(skc3,skc4),skc3),
inference(res,[status(thm),theory(equality)],[2,34]),
[iquote('0:Res:2.0,34.0')] ).
cnf(63,plain,
~ apart_point_and_line(intersection_point(skc3,skc5),skc3),
inference(res,[status(thm),theory(equality)],[1,34]),
[iquote('0:Res:1.0,34.0')] ).
cnf(64,plain,
~ apart_point_and_line(intersection_point(skc3,skc5),skc5),
inference(res,[status(thm),theory(equality)],[1,35]),
[iquote('0:Res:1.0,35.0')] ).
cnf(65,plain,
( distinct_lines(skc5,u)
| convergent_lines(skc3,u) ),
inference(res,[status(thm),theory(equality)],[1,38]),
[iquote('0:Res:1.0,38.0')] ).
cnf(69,plain,
( ~ distinct_lines(u,v)
| apart_point_and_line(intersection_point(skc3,skc4),u)
| apart_point_and_line(intersection_point(skc3,skc4),v)
| apart_point_and_line(intersection_point(skc3,skc5),v)
| apart_point_and_line(intersection_point(skc3,skc5),u) ),
inference(res,[status(thm),theory(equality)],[19,50]),
[iquote('0:Res:19.0,50.0')] ).
cnf(235,plain,
( convergent_lines(skc3,u)
| distinct_lines(u,v)
| distinct_lines(skc5,v) ),
inference(res,[status(thm),theory(equality)],[65,30]),
[iquote('0:Res:65.0,30.0')] ).
cnf(237,plain,
( equal_lines(u,v)
| distinct_lines(v,w)
| distinct_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[15,30]),
[iquote('0:Res:15.1,30.0')] ).
cnf(276,plain,
( convergent_lines(skc3,u)
| distinct_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[235,4]),
[iquote('0:Res:235.2,4.0')] ).
cnf(283,plain,
( convergent_lines(skc3,u)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[276,20]),
[iquote('0:Res:276.1,20.0')] ).
cnf(299,plain,
( parallel_lines(u,v)
| distinct_lines(v,w)
| convergent_lines(u,w) ),
inference(res,[status(thm),theory(equality)],[16,38]),
[iquote('0:Res:16.1,38.0')] ).
cnf(303,plain,
( ~ parallel_lines(skc3,u)
| convergent_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[283,25]),
[iquote('0:Res:283.0,25.0')] ).
cnf(349,plain,
( ~ parallel_lines(skc3,u)
| ~ parallel_lines(u,skc5) ),
inference(res,[status(thm),theory(equality)],[303,25]),
[iquote('0:Res:303.1,25.0')] ).
cnf(493,plain,
( equal_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[237,4]),
[iquote('0:Res:237.2,4.0')] ).
cnf(537,plain,
( equal_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[493,20]),
[iquote('0:Res:493.1,20.0')] ).
cnf(539,plain,
equal_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[537,6]),
[iquote('0:Res:537.1,6.0')] ).
cnf(673,plain,
( parallel_lines(u,v)
| distinct_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[299,5]),
[iquote('0:Res:299.2,5.0')] ).
cnf(674,plain,
( parallel_lines(parallel_through_point(u,v),w)
| distinct_lines(w,u) ),
inference(res,[status(thm),theory(equality)],[299,6]),
[iquote('0:Res:299.2,6.0')] ).
cnf(684,plain,
( parallel_lines(u,v)
| convergent_lines(v,u) ),
inference(res,[status(thm),theory(equality)],[673,20]),
[iquote('0:Res:673.1,20.0')] ).
cnf(686,plain,
parallel_lines(u,parallel_through_point(u,v)),
inference(res,[status(thm),theory(equality)],[684,6]),
[iquote('0:Res:684.1,6.0')] ).
cnf(694,plain,
~ parallel_lines(parallel_through_point(skc3,u),skc5),
inference(res,[status(thm),theory(equality)],[686,349]),
[iquote('0:Res:686.0,349.0')] ).
cnf(970,plain,
distinct_lines(skc5,skc3),
inference(res,[status(thm),theory(equality)],[674,694]),
[iquote('0:Res:674.0,694.0')] ).
cnf(972,plain,
( apart_point_and_line(intersection_point(skc3,skc4),skc5)
| apart_point_and_line(intersection_point(skc3,skc4),skc3)
| apart_point_and_line(intersection_point(skc3,skc5),skc3)
| apart_point_and_line(intersection_point(skc3,skc5),skc5) ),
inference(res,[status(thm),theory(equality)],[970,69]),
[iquote('0:Res:970.0,69.0')] ).
cnf(978,plain,
apart_point_and_line(intersection_point(skc3,skc4),skc5),
inference(mrr,[status(thm)],[972,54,63,64]),
[iquote('0:MRR:972.1,972.2,972.3,54.0,63.0,64.0')] ).
cnf(986,plain,
( distinct_lines(skc5,u)
| apart_point_and_line(intersection_point(skc3,skc4),u) ),
inference(res,[status(thm),theory(equality)],[978,37]),
[iquote('0:Res:978.0,37.0')] ).
cnf(1427,plain,
distinct_lines(skc5,parallel_through_point(u,intersection_point(skc3,skc4))),
inference(res,[status(thm),theory(equality)],[986,7]),
[iquote('0:Res:986.1,7.0')] ).
cnf(1443,plain,
~ equal_lines(skc5,parallel_through_point(u,intersection_point(skc3,skc4))),
inference(res,[status(thm),theory(equality)],[1427,24]),
[iquote('0:Res:1427.0,24.0')] ).
cnf(1445,plain,
$false,
inference(unc,[status(thm)],[1443,539]),
[iquote('0:UnC:1443.0,539.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO203+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n024.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 : Fri Jun 17 18:45:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.60
% 0.21/0.60 SPASS V 3.9
% 0.21/0.60 SPASS beiseite: Proof found.
% 0.21/0.60 % SZS status Theorem
% 0.21/0.60 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.60 SPASS derived 1373 clauses, backtracked 0 clauses, performed 0 splits and kept 970 clauses.
% 0.21/0.60 SPASS allocated 98457 KBytes.
% 0.21/0.60 SPASS spent 0:00:00.24 on the problem.
% 0.21/0.60 0:00:00.04 for the input.
% 0.21/0.60 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.60 0:00:00.02 for inferences.
% 0.21/0.60 0:00:00.00 for the backtracking.
% 0.21/0.60 0:00:00.13 for the reduction.
% 0.21/0.60
% 0.21/0.60
% 0.21/0.60 Here is a proof with depth 12, length 45 :
% 0.21/0.60 % SZS output start Refutation
% See solution above
% 0.21/0.60 Formulae used in the proof : con apart2 apart3 cp1 cp2 ax2 a3 p1 apart5 ci3 ci4 ceq2 ceq3 cu1
% 0.21/0.60
%------------------------------------------------------------------------------