TSTP Solution File: SEU212+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n006.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 14:35:02 EDT 2022
% Result : Theorem 0.22s 0.50s
% Output : Refutation 0.22s
% 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+1.p',unknown),
[] ).
cnf(2,axiom,
function(skc9),
file('SEU212+1.p',unknown),
[] ).
cnf(32,axiom,
( in(skc11,relation_dom(skc9))
| in(ordered_pair(skc11,skc10),skc9) ),
file('SEU212+1.p',unknown),
[] ).
cnf(36,axiom,
( in(ordered_pair(skc11,skc10),skc9)
| equal(apply(skc9,skc11),skc10) ),
file('SEU212+1.p',unknown),
[] ).
cnf(39,axiom,
( ~ in(ordered_pair(skc11,skc10),skc9)
| ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
file('SEU212+1.p',unknown),
[] ).
cnf(40,axiom,
( ~ relation(u)
| ~ equal(v,relation_dom(u))
| ~ in(ordered_pair(w,x),u)
| in(w,v) ),
file('SEU212+1.p',unknown),
[] ).
cnf(45,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ in(ordered_pair(v,w),u)
| equal(w,apply(u,v)) ),
file('SEU212+1.p',unknown),
[] ).
cnf(46,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,apply(u,v))
| in(ordered_pair(v,w),u) ),
file('SEU212+1.p',unknown),
[] ).
cnf(48,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)],[2,46]),
[iquote('0:Res:2.0,46.1')] ).
cnf(58,plain,
( ~ equal(u,relation_dom(skc9))
| ~ in(ordered_pair(v,w),skc9)
| in(v,u) ),
inference(res,[status(thm),theory(equality)],[1,40]),
[iquote('0:Res:1.0,40.0')] ).
cnf(62,plain,
( ~ in(u,relation_dom(skc9))
| ~ equal(v,apply(skc9,u))
| in(ordered_pair(u,v),skc9) ),
inference(mrr,[status(thm)],[48,1]),
[iquote('0:MRR:48.0,1.0')] ).
cnf(63,plain,
( ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
inference(mrr,[status(thm)],[39,62]),
[iquote('0:MRR:39.0,62.2')] ).
cnf(85,plain,
in(skc11,relation_dom(skc9)),
inference(spt,[spt(split,[position(s1)])],[32]),
[iquote('1:Spt:32.0')] ).
cnf(86,plain,
~ equal(apply(skc9,skc11),skc10),
inference(mrr,[status(thm)],[63,85]),
[iquote('1:MRR:63.0,85.0')] ).
cnf(87,plain,
in(ordered_pair(skc11,skc10),skc9),
inference(mrr,[status(thm)],[36,86]),
[iquote('1:MRR:36.1,86.0')] ).
cnf(258,plain,
( ~ function(skc9)
| ~ relation(skc9)
| ~ in(skc11,relation_dom(skc9))
| equal(apply(skc9,skc11),skc10) ),
inference(res,[status(thm),theory(equality)],[87,45]),
[iquote('1:Res:87.0,45.3')] ).
cnf(259,plain,
( ~ in(skc11,relation_dom(skc9))
| equal(apply(skc9,skc11),skc10) ),
inference(ssi,[status(thm)],[258,2,1]),
[iquote('1:SSi:258.1,258.0,2.0,1.0,2.0,1.0')] ).
cnf(260,plain,
$false,
inference(mrr,[status(thm)],[259,85,86]),
[iquote('1:MRR:259.0,259.1,85.0,86.0')] ).
cnf(263,plain,
~ in(skc11,relation_dom(skc9)),
inference(spt,[spt(split,[position(sa)])],[260,85]),
[iquote('1:Spt:260.0,32.0,85.0')] ).
cnf(264,plain,
in(ordered_pair(skc11,skc10),skc9),
inference(spt,[spt(split,[position(s2)])],[32]),
[iquote('1:Spt:260.0,32.1')] ).
cnf(270,plain,
( ~ equal(u,relation_dom(skc9))
| in(skc11,u) ),
inference(res,[status(thm),theory(equality)],[264,58]),
[iquote('1:Res:264.0,58.1')] ).
cnf(331,plain,
~ equal(relation_dom(skc9),relation_dom(skc9)),
inference(res,[status(thm),theory(equality)],[270,263]),
[iquote('1:Res:270.1,263.0')] ).
cnf(332,plain,
$false,
inference(obv,[status(thm),theory(equality)],[331]),
[iquote('1:Obv:331.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU212+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.15/0.36 % Computer : n006.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 600
% 0.15/0.36 % DateTime : Sun Jun 19 18:55:25 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.50
% 0.22/0.50 SPASS V 3.9
% 0.22/0.50 SPASS beiseite: Proof found.
% 0.22/0.50 % SZS status Theorem
% 0.22/0.50 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50 SPASS derived 232 clauses, backtracked 10 clauses, performed 1 splits and kept 160 clauses.
% 0.22/0.50 SPASS allocated 97876 KBytes.
% 0.22/0.50 SPASS spent 0:00:00.12 on the problem.
% 0.22/0.50 0:00:00.04 for the input.
% 0.22/0.50 0:00:00.04 for the FLOTTER CNF translation.
% 0.22/0.50 0:00:00.00 for inferences.
% 0.22/0.50 0:00:00.00 for the backtracking.
% 0.22/0.50 0:00:00.02 for the reduction.
% 0.22/0.50
% 0.22/0.50
% 0.22/0.50 Here is a proof with depth 3, length 23 :
% 0.22/0.50 % SZS output start Refutation
% See solution above
% 0.22/0.50 Formulae used in the proof : t8_funct_1 d4_relat_1 antisymmetry_r2_hidden d4_funct_1
% 0.22/0.50
%------------------------------------------------------------------------------