TSTP Solution File: GEO082+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 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 06:22:10 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 7 unt; 1 nHn; 13 RR)
% Number of literals : 21 ( 0 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
part_of(skc2,skc3),
file('GEO082+1.p',unknown),
[] ).
cnf(2,axiom,
part_of(skc3,skc2),
file('GEO082+1.p',unknown),
[] ).
cnf(3,axiom,
~ equal(skc3,skc2),
file('GEO082+1.p',unknown),
[] ).
cnf(22,axiom,
( incident_c(skf23(u,v),u)
| incident_c(skf23(u,v),v) ),
file('GEO082+1.p',unknown),
[] ).
cnf(23,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO082+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ incident_c(skf23(u,v),u)
| ~ incident_c(skf23(u,v),v)
| equal(v,u) ),
file('GEO082+1.p',unknown),
[] ).
cnf(48,plain,
( ~ incident_c(u,skc3)
| incident_c(u,skc2) ),
inference(res,[status(thm),theory(equality)],[2,23]),
[iquote('0:Res:2.0,23.0')] ).
cnf(55,plain,
( ~ incident_c(u,skc2)
| incident_c(u,skc3) ),
inference(res,[status(thm),theory(equality)],[1,23]),
[iquote('0:Res:1.0,23.0')] ).
cnf(65,plain,
( ~ incident_c(skf23(skc3,skc2),skc2)
| ~ incident_c(skf23(skc3,skc2),skc3) ),
inference(res,[status(thm),theory(equality)],[33,3]),
[iquote('0:Res:33.2,3.0')] ).
cnf(73,plain,
~ incident_c(skf23(skc3,skc2),skc3),
inference(mrr,[status(thm)],[65,48]),
[iquote('0:MRR:65.0,48.1')] ).
cnf(93,plain,
~ incident_c(skf23(skc3,skc2),skc2),
inference(res,[status(thm),theory(equality)],[55,73]),
[iquote('0:Res:55.1,73.0')] ).
cnf(126,plain,
incident_c(skf23(skc3,skc2),skc2),
inference(res,[status(thm),theory(equality)],[22,73]),
[iquote('0:Res:22.0,73.0')] ).
cnf(129,plain,
$false,
inference(mrr,[status(thm)],[126,93]),
[iquote('0:MRR:126.0,93.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO082+1 : TPTP v8.1.0. Released v2.4.0.
% 0.10/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n015.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Fri Jun 17 21:38:27 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.19/0.49
% 0.19/0.49 SPASS V 3.9
% 0.19/0.49 SPASS beiseite: Proof found.
% 0.19/0.49 % SZS status Theorem
% 0.19/0.49 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 SPASS derived 72 clauses, backtracked 0 clauses, performed 2 splits and kept 88 clauses.
% 0.19/0.49 SPASS allocated 98460 KBytes.
% 0.19/0.49 SPASS spent 0:00:00.15 on the problem.
% 0.19/0.49 0:00:00.03 for the input.
% 0.19/0.49 0:00:00.08 for the FLOTTER CNF translation.
% 0.19/0.49 0:00:00.00 for inferences.
% 0.19/0.49 0:00:00.00 for the backtracking.
% 0.19/0.49 0:00:00.00 for the reduction.
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 Here is a proof with depth 2, length 13 :
% 0.19/0.49 % SZS output start Refutation
% See solution above
% 0.19/0.49 Formulae used in the proof : part_of_antisymmetry c9 c3 inner_point_defn part_of_defn
% 0.19/0.49
%------------------------------------------------------------------------------