TSTP Solution File: SEU223+2 by SPASS---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU223+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n023.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 14:35:12 EDT 2022
% Result : Theorem 4.05s 4.22s
% Output : Refutation 4.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of clauses : 19 ( 12 unt; 0 nHn; 19 RR)
% Number of literals : 40 ( 0 equ; 25 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc11),
file('SEU223+2.p',unknown),
[] ).
cnf(2,axiom,
function(skc11),
file('SEU223+2.p',unknown),
[] ).
cnf(62,axiom,
in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))),
file('SEU223+2.p',unknown),
[] ).
cnf(77,axiom,
equal(set_intersection2(u,v),set_intersection2(v,u)),
file('SEU223+2.p',unknown),
[] ).
cnf(84,axiom,
( ~ relation(u)
| relation(relation_dom_restriction(u,v)) ),
file('SEU223+2.p',unknown),
[] ).
cnf(157,axiom,
~ equal(apply(relation_dom_restriction(skc11,skc13),skc12),apply(skc11,skc12)),
file('SEU223+2.p',unknown),
[] ).
cnf(168,axiom,
( ~ relation(u)
| ~ function(u)
| function(relation_dom_restriction(u,v)) ),
file('SEU223+2.p',unknown),
[] ).
cnf(234,axiom,
( ~ relation(u)
| equal(relation_dom(relation_dom_restriction(u,v)),set_intersection2(relation_dom(u),v)) ),
file('SEU223+2.p',unknown),
[] ).
cnf(411,axiom,
( ~ relation(u)
| ~ function(u)
| ~ relation(v)
| ~ function(v)
| ~ in(w,relation_dom(u))
| ~ equal(u,relation_dom_restriction(v,x))
| equal(apply(u,w),apply(v,w)) ),
file('SEU223+2.p',unknown),
[] ).
cnf(508,plain,
( ~ relation(skc11)
| function(relation_dom_restriction(skc11,u)) ),
inference(res,[status(thm),theory(equality)],[2,168]),
[iquote('0:Res:2.0,168.0')] ).
cnf(655,plain,
equal(relation_dom(relation_dom_restriction(skc11,u)),set_intersection2(relation_dom(skc11),u)),
inference(res,[status(thm),theory(equality)],[1,234]),
[iquote('0:Res:1.0,234.0')] ).
cnf(673,plain,
relation(relation_dom_restriction(skc11,u)),
inference(res,[status(thm),theory(equality)],[1,84]),
[iquote('0:Res:1.0,84.0')] ).
cnf(828,plain,
( ~ function(skc11)
| ~ relation(skc11)
| ~ function(relation_dom_restriction(skc11,skc13))
| ~ relation(relation_dom_restriction(skc11,skc13))
| ~ in(skc12,relation_dom(relation_dom_restriction(skc11,skc13)))
| ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)) ),
inference(res,[status(thm),theory(equality)],[411,157]),
[iquote('0:Res:411.6,157.0')] ).
cnf(867,plain,
function(relation_dom_restriction(skc11,u)),
inference(mrr,[status(thm)],[508,1]),
[iquote('0:MRR:508.0,1.0')] ).
cnf(872,plain,
in(skc12,set_intersection2(relation_dom(skc11),skc13)),
inference(rew,[status(thm),theory(equality)],[655,62]),
[iquote('0:Rew:655.0,62.0')] ).
cnf(877,plain,
in(skc12,set_intersection2(skc13,relation_dom(skc11))),
inference(rew,[status(thm),theory(equality)],[77,872]),
[iquote('0:Rew:77.0,872.0')] ).
cnf(954,plain,
( ~ function(skc11)
| ~ relation(skc11)
| ~ function(relation_dom_restriction(skc11,skc13))
| ~ relation(relation_dom_restriction(skc11,skc13))
| ~ in(skc12,set_intersection2(skc13,relation_dom(skc11)))
| ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)) ),
inference(rew,[status(thm),theory(equality)],[77,828,234]),
[iquote('0:Rew:77.0,828.4,234.1,828.4')] ).
cnf(955,plain,
~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)),
inference(mrr,[status(thm)],[954,2,1,867,673,877]),
[iquote('0:MRR:954.0,954.1,954.2,954.3,954.4,2.0,1.0,867.0,673.0,877.0')] ).
cnf(1770,plain,
$false,
inference(obv,[status(thm),theory(equality)],[955]),
[iquote('0:Obv:955.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU223+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jun 19 07:59:18 EDT 2022
% 0.14/0.34 % CPUTime :
% 4.05/4.22
% 4.05/4.22 SPASS V 3.9
% 4.05/4.22 SPASS beiseite: Proof found.
% 4.05/4.22 % SZS status Theorem
% 4.05/4.22 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.05/4.22 SPASS derived 798 clauses, backtracked 323 clauses, performed 1 splits and kept 1329 clauses.
% 4.05/4.22 SPASS allocated 110267 KBytes.
% 4.05/4.22 SPASS spent 0:00:03.85 on the problem.
% 4.05/4.22 0:00:00.04 for the input.
% 4.05/4.22 0:00:03.29 for the FLOTTER CNF translation.
% 4.05/4.22 0:00:00.00 for inferences.
% 4.05/4.22 0:00:00.01 for the backtracking.
% 4.05/4.22 0:00:00.32 for the reduction.
% 4.05/4.22
% 4.05/4.22
% 4.05/4.22 Here is a proof with depth 1, length 19 :
% 4.05/4.22 % SZS output start Refutation
% See solution above
% 4.05/4.22 Formulae used in the proof : t70_funct_1 commutativity_k3_xboole_0 dt_k7_relat_1 fc4_funct_1 t90_relat_1 t68_funct_1
% 4.05/4.22
%------------------------------------------------------------------------------