%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU212+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n017.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 9.64s 9.82s
% Output : Refutation 9.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 8
% Syntax : Number of clauses : 22 ( 7 unt; 2 nHn; 22 RR)
% Number of literals : 53 ( 0 equ; 37 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 : 9 ( 9 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc9),
file('SEU212+2.p',unknown),
[] ).
cnf(2,axiom,
function(skc9),
file('SEU212+2.p',unknown),
[] ).
cnf(104,axiom,
( in(skc11,relation_dom(skc9))
| in(ordered_pair(skc11,skc10),skc9) ),
file('SEU212+2.p',unknown),
[] ).
cnf(142,axiom,
( equal(apply(skc9,skc11),skc10)
| in(ordered_pair(skc11,skc10),skc9) ),
file('SEU212+2.p',unknown),
[] ).
cnf(225,axiom,
( ~ relation(u)
| ~ in(ordered_pair(v,w),u)
| in(v,relation_dom(u)) ),
file('SEU212+2.p',unknown),
[] ).
cnf(274,axiom,
( ~ in(ordered_pair(skc11,skc10),skc9)
| ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
file('SEU212+2.p',unknown),
[] ).
cnf(336,axiom,
( ~ relation(u)
| ~ function(u)
| ~ in(ordered_pair(v,w),u)
| ~ in(v,relation_dom(u))
| equal(w,apply(u,v)) ),
file('SEU212+2.p',unknown),
[] ).
cnf(337,axiom,
( ~ function(u)
| ~ relation(u)
| ~ in(v,relation_dom(u))
| ~ equal(w,apply(u,v))
| in(ordered_pair(v,w),u) ),
file('SEU212+2.p',unknown),
[] ).
cnf(397,plain,
( ~ function(u)
| ~ relation(u)
| ~ in(ordered_pair(v,w),u)
| equal(w,apply(u,v)) ),
inference(mrr,[status(thm)],[336,225]),
[iquote('0:MRR:336.3,225.2')] ).
cnf(403,plain,
( ~ relation(skc9)
| ~ in(ordered_pair(u,v),skc9)
| equal(v,apply(skc9,u)) ),
inference(res,[status(thm),theory(equality)],[2,397]),
[iquote('0:Res:2.0,397.1')] ).
cnf(496,plain,
( ~ in(ordered_pair(u,v),skc9)
| in(u,relation_dom(skc9)) ),
inference(res,[status(thm),theory(equality)],[1,225]),
[iquote('0:Res:1.0,225.0')] ).
cnf(570,plain,
in(skc11,relation_dom(skc9)),
inference(mrr,[status(thm)],[104,496]),
[iquote('0:MRR:104.1,496.0')] ).
cnf(571,plain,
( ~ in(ordered_pair(skc11,skc10),skc9)
| ~ equal(apply(skc9,skc11),skc10) ),
inference(mrr,[status(thm)],[274,496]),
[iquote('0:MRR:274.1,496.1')] ).
cnf(572,plain,
( ~ in(ordered_pair(u,v),skc9)
| equal(v,apply(skc9,u)) ),
inference(mrr,[status(thm)],[403,1]),
[iquote('0:MRR:403.0,1.0')] ).
cnf(573,plain,
equal(apply(skc9,skc11),skc10),
inference(mrr,[status(thm)],[142,572]),
[iquote('0:MRR:142.1,572.0')] ).
cnf(574,plain,
( ~ in(ordered_pair(skc11,skc10),skc9)
| ~ equal(skc10,skc10) ),
inference(rew,[status(thm),theory(equality)],[573,571]),
[iquote('0:Rew:573.0,571.1')] ).
cnf(575,plain,
~ in(ordered_pair(skc11,skc10),skc9),
inference(obv,[status(thm),theory(equality)],[574]),
[iquote('0:Obv:574.1')] ).
cnf(17809,plain,
( ~ function(skc9)
| ~ relation(skc9)
| ~ in(skc11,relation_dom(skc9))
| ~ equal(apply(skc9,skc11),skc10) ),
inference(res,[status(thm),theory(equality)],[337,575]),
[iquote('0:Res:337.4,575.0')] ).
cnf(17876,plain,
( ~ function(skc9)
| ~ relation(skc9)
| ~ in(skc11,relation_dom(skc9))
| ~ equal(skc10,skc10) ),
inference(rew,[status(thm),theory(equality)],[573,17809]),
[iquote('0:Rew:573.0,17809.3')] ).
cnf(17877,plain,
( ~ function(skc9)
| ~ relation(skc9)
| ~ in(skc11,relation_dom(skc9)) ),
inference(obv,[status(thm),theory(equality)],[17876]),
[iquote('0:Obv:17876.3')] ).
cnf(17878,plain,
~ in(skc11,relation_dom(skc9)),
inference(ssi,[status(thm)],[17877,2,1]),
[iquote('0:SSi:17877.1,17877.0,2.0,1.0,2.0,1.0')] ).
cnf(17879,plain,
$false,
inference(mrr,[status(thm)],[17878,570]),
[iquote('0:MRR:17878.0,570.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU212+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run_spass %d %s
% 0.14/0.34 % Computer : n017.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 : Mon Jun 20 02:55:44 EDT 2022
% 0.14/0.34 % CPUTime :
% 9.64/9.82
% 9.64/9.82 SPASS V 3.9
% 9.64/9.82 SPASS beiseite: Proof found.
% 9.64/9.82 % SZS status Theorem
% 9.64/9.82 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.64/9.82 SPASS derived 14556 clauses, backtracked 150 clauses, performed 4 splits and kept 5826 clauses.
% 9.64/9.82 SPASS allocated 111450 KBytes.
% 9.64/9.82 SPASS spent 0:00:09.28 on the problem.
% 9.64/9.82 0:00:00.04 for the input.
% 9.64/9.82 0:00:02.60 for the FLOTTER CNF translation.
% 9.64/9.82 0:00:00.17 for inferences.
% 9.64/9.82 0:00:00.23 for the backtracking.
% 9.64/9.82 0:00:06.01 for the reduction.
% 9.64/9.82
% 9.64/9.82
% 9.64/9.82 Here is a proof with depth 1, length 22 :
% 9.64/9.82 % SZS output start Refutation
% See solution above
% 9.64/9.82 Formulae used in the proof : t8_funct_1 t20_relat_1 d4_funct_1
% 9.64/9.82
%------------------------------------------------------------------------------