TSTP Solution File: GEO111+1 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n016.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 06:22:25 EDT 2022
% Result : Theorem 0.23s 0.57s
% Output : Refutation 0.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of clauses : 39 ( 23 unt; 2 nHn; 39 RR)
% Number of literals : 66 ( 0 equ; 31 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 1 prp; 0-4 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-4 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
between_c(skc4,skc5,skc6,skc7),
file('GEO111+1.p',unknown),
[] ).
cnf(9,axiom,
( ~ end_point(u,v)
| incident_c(u,v) ),
file('GEO111+1.p',unknown),
[] ).
cnf(10,axiom,
( ~ inner_point(u,v)
| incident_c(u,v) ),
file('GEO111+1.p',unknown),
[] ).
cnf(13,axiom,
part_of(skf25(u,v,w,x),x),
file('GEO111+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ inner_point(u,v)
| ~ end_point(u,v) ),
file('GEO111+1.p',unknown),
[] ).
cnf(24,axiom,
( ~ equal(u,v)
| ~ between_c(w,u,x,v) ),
file('GEO111+1.p',unknown),
[] ).
cnf(25,axiom,
( ~ incident_c(u,v)
| ~ part_of(v,w)
| incident_c(u,w) ),
file('GEO111+1.p',unknown),
[] ).
cnf(31,axiom,
( ~ between_c(u,v,w,x)
| end_point(v,skf25(w,x,v,u)) ),
file('GEO111+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ between_c(u,v,w,x)
| end_point(x,skf25(w,x,v,u)) ),
file('GEO111+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ between_c(u,v,w,x)
| inner_point(w,skf25(w,x,v,u)) ),
file('GEO111+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ incident_c(skc5,skc4)
| ~ incident_c(skc6,skc4)
| ~ incident_c(skc7,skc4)
| equal(skc6,skc5)
| equal(skc7,skc6)
| equal(skc7,skc5) ),
file('GEO111+1.p',unknown),
[] ).
cnf(51,plain,
~ equal(skc7,skc5),
inference(res,[status(thm),theory(equality)],[2,24]),
[iquote('0:Res:2.0,24.1')] ).
cnf(52,plain,
end_point(skc5,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[2,31]),
[iquote('0:Res:2.0,31.0')] ).
cnf(53,plain,
end_point(skc7,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[2,32]),
[iquote('0:Res:2.0,32.0')] ).
cnf(54,plain,
inner_point(skc6,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[2,33]),
[iquote('0:Res:2.0,33.0')] ).
cnf(55,plain,
( ~ incident_c(skc7,skc4)
| ~ incident_c(skc6,skc4)
| ~ incident_c(skc5,skc4)
| equal(skc7,skc6)
| equal(skc6,skc5) ),
inference(mrr,[status(thm)],[46,51]),
[iquote('0:MRR:46.5,51.0')] ).
cnf(56,plain,
equal(skc7,skc6),
inference(spt,[spt(split,[position(s1)])],[55]),
[iquote('1:Spt:55.3')] ).
cnf(57,plain,
inner_point(skc6,skf25(skc6,skc6,skc5,skc4)),
inference(rew,[status(thm),theory(equality)],[56,54]),
[iquote('1:Rew:56.0,54.0')] ).
cnf(61,plain,
end_point(skc6,skf25(skc6,skc6,skc5,skc4)),
inference(rew,[status(thm),theory(equality)],[56,53]),
[iquote('1:Rew:56.0,53.0')] ).
cnf(78,plain,
~ end_point(skc6,skf25(skc6,skc6,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[57,14]),
[iquote('1:Res:57.0,14.0')] ).
cnf(79,plain,
$false,
inference(mrr,[status(thm)],[78,61]),
[iquote('1:MRR:78.0,61.0')] ).
cnf(80,plain,
~ equal(skc7,skc6),
inference(spt,[spt(split,[position(sa)])],[79,56]),
[iquote('1:Spt:79.0,55.3,56.0')] ).
cnf(81,plain,
( ~ incident_c(skc7,skc4)
| ~ incident_c(skc6,skc4)
| ~ incident_c(skc5,skc4)
| equal(skc6,skc5) ),
inference(spt,[spt(split,[position(s2)])],[55]),
[iquote('1:Spt:79.0,55.0,55.1,55.2,55.4')] ).
cnf(83,plain,
incident_c(skc7,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[53,9]),
[iquote('0:Res:53.0,9.0')] ).
cnf(86,plain,
incident_c(skc5,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[52,9]),
[iquote('0:Res:52.0,9.0')] ).
cnf(88,plain,
~ end_point(skc6,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[54,14]),
[iquote('0:Res:54.0,14.0')] ).
cnf(89,plain,
incident_c(skc6,skf25(skc6,skc7,skc5,skc4)),
inference(res,[status(thm),theory(equality)],[54,10]),
[iquote('0:Res:54.0,10.0')] ).
cnf(112,plain,
( ~ part_of(skf25(skc6,skc7,skc5,skc4),u)
| incident_c(skc7,u) ),
inference(res,[status(thm),theory(equality)],[83,25]),
[iquote('0:Res:83.0,25.0')] ).
cnf(113,plain,
( ~ part_of(skf25(skc6,skc7,skc5,skc4),u)
| incident_c(skc5,u) ),
inference(res,[status(thm),theory(equality)],[86,25]),
[iquote('0:Res:86.0,25.0')] ).
cnf(114,plain,
( ~ part_of(skf25(skc6,skc7,skc5,skc4),u)
| incident_c(skc6,u) ),
inference(res,[status(thm),theory(equality)],[89,25]),
[iquote('0:Res:89.0,25.0')] ).
cnf(126,plain,
incident_c(skc7,skc4),
inference(res,[status(thm),theory(equality)],[13,112]),
[iquote('0:Res:13.0,112.0')] ).
cnf(128,plain,
( ~ incident_c(skc6,skc4)
| ~ incident_c(skc5,skc4)
| equal(skc6,skc5) ),
inference(mrr,[status(thm)],[81,126]),
[iquote('1:MRR:81.0,126.0')] ).
cnf(132,plain,
incident_c(skc5,skc4),
inference(res,[status(thm),theory(equality)],[13,113]),
[iquote('0:Res:13.0,113.0')] ).
cnf(134,plain,
( ~ incident_c(skc6,skc4)
| equal(skc6,skc5) ),
inference(mrr,[status(thm)],[128,132]),
[iquote('1:MRR:128.1,132.0')] ).
cnf(461,plain,
incident_c(skc6,skc4),
inference(res,[status(thm),theory(equality)],[13,114]),
[iquote('0:Res:13.0,114.0')] ).
cnf(463,plain,
equal(skc6,skc5),
inference(mrr,[status(thm)],[134,461]),
[iquote('1:MRR:134.0,461.0')] ).
cnf(468,plain,
end_point(skc5,skf25(skc5,skc7,skc5,skc4)),
inference(rew,[status(thm),theory(equality)],[463,52]),
[iquote('1:Rew:463.0,52.0')] ).
cnf(476,plain,
~ end_point(skc5,skf25(skc5,skc7,skc5,skc4)),
inference(rew,[status(thm),theory(equality)],[463,88]),
[iquote('1:Rew:463.0,88.0')] ).
cnf(482,plain,
$false,
inference(mrr,[status(thm)],[476,468]),
[iquote('1:MRR:476.0,468.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO111+1 : TPTP v8.1.0. Released v2.4.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.15/0.37 % Computer : n016.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 600
% 0.15/0.37 % DateTime : Sat Jun 18 18:33:37 EDT 2022
% 0.15/0.37 % CPUTime :
% 0.23/0.57
% 0.23/0.57 SPASS V 3.9
% 0.23/0.57 SPASS beiseite: Proof found.
% 0.23/0.57 % SZS status Theorem
% 0.23/0.57 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.57 SPASS derived 423 clauses, backtracked 7 clauses, performed 1 splits and kept 431 clauses.
% 0.23/0.57 SPASS allocated 98375 KBytes.
% 0.23/0.57 SPASS spent 0:00:00.19 on the problem.
% 0.23/0.57 0:00:00.04 for the input.
% 0.23/0.57 0:00:00.07 for the FLOTTER CNF translation.
% 0.23/0.57 0:00:00.01 for inferences.
% 0.23/0.57 0:00:00.00 for the backtracking.
% 0.23/0.57 0:00:00.05 for the reduction.
% 0.23/0.57
% 0.23/0.57
% 0.23/0.57 Here is a proof with depth 4, length 39 :
% 0.23/0.57 % SZS output start Refutation
% See solution above
% 0.23/0.58 Formulae used in the proof : theorem_3_8_1 end_point_defn part_of_defn inner_point_defn between_c_defn c3
% 0.23/0.58
%------------------------------------------------------------------------------