TSTP Solution File: GEO127+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n028.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 06:22:34 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 14
% Syntax : Number of clauses : 35 ( 17 unt; 3 nHn; 35 RR)
% Number of literals : 58 ( 0 equ; 25 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
open(skf38(u)),
file('GEO127+1.p',unknown),
[] ).
cnf(2,axiom,
inner_point(skf30(u),u),
file('GEO127+1.p',unknown),
[] ).
cnf(3,axiom,
start_point(skf43(u),u),
file('GEO127+1.p',unknown),
[] ).
cnf(12,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO127+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO127+1.p',unknown),
[] ).
cnf(15,axiom,
( ~ open(u)
| end_point(skf29(u),u) ),
file('GEO127+1.p',unknown),
[] ).
cnf(19,axiom,
( ~ inner_point(u,v)
| ~ end_point(u,v) ),
file('GEO127+1.p',unknown),
[] ).
cnf(22,axiom,
( ~ ordered_by(u,v,w)
| incident_o(v,u) ),
file('GEO127+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ ordered_by(u,v,w)
| incident_o(w,u) ),
file('GEO127+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ incident_c(u,skf38(v))
| incident_o(u,v) ),
file('GEO127+1.p',unknown),
[] ).
cnf(26,axiom,
( ~ ordered_by(skc4,skc5,u)
| ~ incident_o(skc5,skc4) ),
file('GEO127+1.p',unknown),
[] ).
cnf(27,axiom,
( ~ ordered_by(skc4,u,skc5)
| ~ incident_o(skc5,skc4) ),
file('GEO127+1.p',unknown),
[] ).
cnf(38,axiom,
( incident_o(skc5,skc4)
| ordered_by(skc4,skc5,skc6)
| ordered_by(skc4,skc7,skc5) ),
file('GEO127+1.p',unknown),
[] ).
cnf(63,axiom,
( ~ start_point(u,v)
| ~ incident_o(w,v)
| equal(u,w)
| ordered_by(v,u,w) ),
file('GEO127+1.p',unknown),
[] ).
cnf(88,plain,
~ ordered_by(skc4,u,skc5),
inference(mrr,[status(thm)],[27,23]),
[iquote('0:MRR:27.1,23.1')] ).
cnf(89,plain,
~ ordered_by(skc4,skc5,u),
inference(mrr,[status(thm)],[26,22]),
[iquote('0:MRR:26.1,22.1')] ).
cnf(90,plain,
incident_o(skc5,skc4),
inference(mrr,[status(thm)],[38,89,88]),
[iquote('0:MRR:38.1,38.2,89.0,88.0')] ).
cnf(96,plain,
( ~ start_point(u,skc4)
| equal(u,skc5)
| ordered_by(skc4,u,skc5) ),
inference(res,[status(thm),theory(equality)],[90,63]),
[iquote('0:Res:90.0,63.0')] ).
cnf(119,plain,
( ~ incident_o(u,skc4)
| ~ start_point(skc5,skc4)
| equal(skc5,u) ),
inference(res,[status(thm),theory(equality)],[63,89]),
[iquote('0:Res:63.3,89.0')] ).
cnf(123,plain,
( ~ start_point(u,skc4)
| equal(u,skc5) ),
inference(mrr,[status(thm)],[96,88]),
[iquote('0:MRR:96.2,88.0')] ).
cnf(127,plain,
equal(skf43(skc4),skc5),
inference(res,[status(thm),theory(equality)],[3,123]),
[iquote('0:Res:3.0,123.0')] ).
cnf(128,plain,
start_point(skc5,skc4),
inference(spr,[status(thm),theory(equality)],[127,3]),
[iquote('0:SpR:127.0,3.0')] ).
cnf(130,plain,
( ~ incident_o(u,skc4)
| equal(skc5,u) ),
inference(mrr,[status(thm)],[119,128]),
[iquote('0:MRR:119.1,128.0')] ).
cnf(149,plain,
incident_c(skf30(u),u),
inference(res,[status(thm),theory(equality)],[2,13]),
[iquote('0:Res:2.0,13.0')] ).
cnf(151,plain,
( ~ open(u)
| incident_c(skf29(u),u) ),
inference(res,[status(thm),theory(equality)],[15,12]),
[iquote('0:Res:15.1,12.0')] ).
cnf(156,plain,
incident_o(skf30(skf38(u)),u),
inference(res,[status(thm),theory(equality)],[149,25]),
[iquote('0:Res:149.0,25.0')] ).
cnf(158,plain,
( ~ open(skf38(u))
| incident_o(skf29(skf38(u)),u) ),
inference(res,[status(thm),theory(equality)],[151,25]),
[iquote('0:Res:151.1,25.0')] ).
cnf(160,plain,
incident_o(skf29(skf38(u)),u),
inference(ssi,[status(thm)],[158,1]),
[iquote('0:SSi:158.0,1.0')] ).
cnf(161,plain,
equal(skf30(skf38(skc4)),skc5),
inference(res,[status(thm),theory(equality)],[156,130]),
[iquote('0:Res:156.0,130.0')] ).
cnf(162,plain,
inner_point(skc5,skf38(skc4)),
inference(spr,[status(thm),theory(equality)],[161,2]),
[iquote('0:SpR:161.0,2.0')] ).
cnf(167,plain,
~ end_point(skc5,skf38(skc4)),
inference(res,[status(thm),theory(equality)],[162,19]),
[iquote('0:Res:162.0,19.0')] ).
cnf(169,plain,
equal(skf29(skf38(skc4)),skc5),
inference(res,[status(thm),theory(equality)],[160,130]),
[iquote('0:Res:160.0,130.0')] ).
cnf(170,plain,
( ~ open(skf38(skc4))
| end_point(skc5,skf38(skc4)) ),
inference(spr,[status(thm),theory(equality)],[169,15]),
[iquote('0:SpR:169.0,15.1')] ).
cnf(174,plain,
end_point(skc5,skf38(skc4)),
inference(ssi,[status(thm)],[170,1]),
[iquote('0:SSi:170.0,1.0')] ).
cnf(175,plain,
$false,
inference(mrr,[status(thm)],[174,167]),
[iquote('0:MRR:174.0,167.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO127+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.13/0.34 % Computer : n028.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 17:03:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.50
% 0.19/0.50 SPASS V 3.9
% 0.19/0.50 SPASS beiseite: Proof found.
% 0.19/0.50 % SZS status Theorem
% 0.19/0.50 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 SPASS derived 74 clauses, backtracked 0 clauses, performed 0 splits and kept 125 clauses.
% 0.19/0.50 SPASS allocated 98476 KBytes.
% 0.19/0.50 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.50 0:00:00.04 for the input.
% 0.19/0.50 0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.50 0:00:00.00 for inferences.
% 0.19/0.50 0:00:00.00 for the backtracking.
% 0.19/0.50 0:00:00.01 for the reduction.
% 0.19/0.50
% 0.19/0.50
% 0.19/0.50 Here is a proof with depth 5, length 35 :
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 Formulae used in the proof : o2 c3 o4 end_point_defn part_of_defn inner_point_defn open_defn o1 theorem_4_12 start_point_defn
% 0.19/0.50
%------------------------------------------------------------------------------