TSTP Solution File: SEU212+3 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 : Tue Jul 19 14:35:03 EDT 2022
% Result : Theorem 0.19s 0.45s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 23 ( 10 unt; 2 nHn; 23 RR)
% Number of literals : 51 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc9),
file('SEU212+3.p',unknown),
[] ).
cnf(2,axiom,
function(skc9),
file('SEU212+3.p',unknown),
[] ).
cnf(40,axiom,
( in(skc11,relation_dom(skc9))
| in(ordered_pair(skc11,skc10),skc9) ),
file('SEU212+3.p',unknown),
[] ).
cnf(44,axiom,
( in(ordered_pair(skc11,skc10),skc9)
| equal(apply(skc9,skc11),skc10) ),
file('SEU212+3.p',unknown),
[] ).
cnf(49,axiom,
( ~ in(ordered_pair(skc11,skc10),skc9)
| ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
file('SEU212+3.p',unknown),
[] ).
cnf(50,axiom,
( ~ relation(u)
| ~ equal(v,relation_dom(u))
| ~ in(ordered_pair(w,x),u)
| in(w,v) ),
file('SEU212+3.p',unknown),
[] ).
cnf(55,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ in(ordered_pair(v,w),u)
| equal(w,apply(u,v)) ),
file('SEU212+3.p',unknown),
[] ).
cnf(56,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,apply(u,v))
| in(ordered_pair(v,w),u) ),
file('SEU212+3.p',unknown),
[] ).
cnf(58,plain,
( ~ relation(skc9)
| ~ equal(u,apply(skc9,v))
| ~ in(v,relation_dom(skc9))
| in(ordered_pair(v,u),skc9) ),
inference(res,[status(thm),theory(equality)],[2,56]),
[iquote('0:Res:2.0,56.1')] ).
cnf(72,plain,
( ~ in(u,relation_dom(skc9))
| ~ equal(v,apply(skc9,u))
| in(ordered_pair(u,v),skc9) ),
inference(mrr,[status(thm)],[58,1]),
[iquote('0:MRR:58.0,1.0')] ).
cnf(73,plain,
( ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
inference(mrr,[status(thm)],[49,72]),
[iquote('0:MRR:49.0,72.2')] ).
cnf(104,plain,
in(skc11,relation_dom(skc9)),
inference(spt,[spt(split,[position(s1)])],[40]),
[iquote('1:Spt:40.0')] ).
cnf(105,plain,
~ equal(apply(skc9,skc11),skc10),
inference(mrr,[status(thm)],[73,104]),
[iquote('1:MRR:73.0,104.0')] ).
cnf(106,plain,
in(ordered_pair(skc11,skc10),skc9),
inference(mrr,[status(thm)],[44,105]),
[iquote('1:MRR:44.1,105.0')] ).
cnf(327,plain,
( ~ function(skc9)
| ~ relation(skc9)
| ~ in(skc11,relation_dom(skc9))
| equal(apply(skc9,skc11),skc10) ),
inference(res,[status(thm),theory(equality)],[106,55]),
[iquote('1:Res:106.0,55.3')] ).
cnf(328,plain,
( ~ in(skc11,relation_dom(skc9))
| equal(apply(skc9,skc11),skc10) ),
inference(ssi,[status(thm)],[327,2,1]),
[iquote('1:SSi:327.1,327.0,2.0,1.0,2.0,1.0')] ).
cnf(329,plain,
$false,
inference(mrr,[status(thm)],[328,104,105]),
[iquote('1:MRR:328.0,328.1,104.0,105.0')] ).
cnf(332,plain,
~ in(skc11,relation_dom(skc9)),
inference(spt,[spt(split,[position(sa)])],[329,104]),
[iquote('1:Spt:329.0,40.0,104.0')] ).
cnf(333,plain,
in(ordered_pair(skc11,skc10),skc9),
inference(spt,[spt(split,[position(s2)])],[40]),
[iquote('1:Spt:329.0,40.1')] ).
cnf(335,plain,
( ~ relation(skc9)
| ~ equal(u,relation_dom(skc9))
| in(skc11,u) ),
inference(res,[status(thm),theory(equality)],[333,50]),
[iquote('1:Res:333.0,50.2')] ).
cnf(339,plain,
( ~ equal(u,relation_dom(skc9))
| in(skc11,u) ),
inference(ssi,[status(thm)],[335,2,1]),
[iquote('1:SSi:335.0,2.0,1.0')] ).
cnf(357,plain,
~ equal(relation_dom(skc9),relation_dom(skc9)),
inference(res,[status(thm),theory(equality)],[339,332]),
[iquote('1:Res:339.1,332.0')] ).
cnf(358,plain,
$false,
inference(obv,[status(thm),theory(equality)],[357]),
[iquote('1:Obv:357.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU212+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run_spass %d %s
% 0.13/0.33 % Computer : n019.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 15:36:24 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45
% 0.19/0.45 SPASS V 3.9
% 0.19/0.45 SPASS beiseite: Proof found.
% 0.19/0.45 % SZS status Theorem
% 0.19/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 SPASS derived 247 clauses, backtracked 5 clauses, performed 1 splits and kept 194 clauses.
% 0.19/0.45 SPASS allocated 97891 KBytes.
% 0.19/0.45 SPASS spent 0:00:00.10 on the problem.
% 0.19/0.45 0:00:00.03 for the input.
% 0.19/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45 0:00:00.00 for inferences.
% 0.19/0.45 0:00:00.00 for the backtracking.
% 0.19/0.45 0:00:00.01 for the reduction.
% 0.19/0.45
% 0.19/0.45
% 0.19/0.45 Here is a proof with depth 3, length 23 :
% 0.19/0.45 % SZS output start Refutation
% See solution above
% 0.19/0.45 Formulae used in the proof : t8_funct_1 d4_relat_1 antisymmetry_r2_hidden d4_funct_1
% 0.19/0.45
%------------------------------------------------------------------------------