TSTP Solution File: SEU284+1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n029.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 14:35:50 EDT 2022
% Result : Theorem 0.18s 0.44s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of clauses : 19 ( 7 unt; 0 nHn; 19 RR)
% Number of literals : 44 ( 0 equ; 31 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
relation(skf5(u)),
file('SEU284+1.p',unknown),
[] ).
cnf(21,axiom,
( ~ skP0(u)
| function(skf5(u)) ),
file('SEU284+1.p',unknown),
[] ).
cnf(29,axiom,
( ~ skP0(u)
| equal(relation_dom(skf5(u)),u) ),
file('SEU284+1.p',unknown),
[] ).
cnf(33,axiom,
( ~ equal(singleton(skf6(u)),singleton(skf6(u)))
| skP0(v) ),
file('SEU284+1.p',unknown),
[] ).
cnf(34,axiom,
( ~ skP0(u)
| ~ in(v,u)
| equal(apply(skf5(u),v),singleton(v)) ),
file('SEU284+1.p',unknown),
[] ).
cnf(35,axiom,
( ~ relation(u)
| ~ function(u)
| ~ equal(relation_dom(u),skc7)
| in(skf4(v),skc7) ),
file('SEU284+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ function(u)
| ~ relation(u)
| ~ equal(relation_dom(u),skc7)
| ~ equal(apply(u,skf4(u)),singleton(skf4(u))) ),
file('SEU284+1.p',unknown),
[] ).
cnf(37,plain,
skP0(u),
inference(obv,[status(thm),theory(equality)],[33]),
[iquote('0:Obv:33.0')] ).
cnf(38,plain,
function(skf5(u)),
inference(mrr,[status(thm)],[21,37]),
[iquote('0:MRR:21.0,37.0')] ).
cnf(39,plain,
equal(relation_dom(skf5(u)),u),
inference(mrr,[status(thm)],[29,37]),
[iquote('0:MRR:29.0,37.0')] ).
cnf(40,plain,
( ~ in(u,v)
| equal(apply(skf5(v),u),singleton(u)) ),
inference(mrr,[status(thm)],[34,37]),
[iquote('0:MRR:34.0,37.0')] ).
cnf(49,plain,
( ~ relation(skf5(skc7))
| ~ function(skf5(skc7))
| in(skf4(u),skc7) ),
inference(res,[status(thm),theory(equality)],[39,35]),
[iquote('0:Res:39.0,35.2')] ).
cnf(60,plain,
in(skf4(u),skc7),
inference(mrr,[status(thm)],[49,15,38]),
[iquote('0:MRR:49.0,49.1,15.0,38.0')] ).
cnf(111,plain,
( ~ function(skf5(u))
| ~ relation(skf5(u))
| ~ in(skf4(skf5(u)),u)
| ~ equal(relation_dom(skf5(u)),skc7)
| ~ equal(singleton(skf4(skf5(u))),singleton(skf4(skf5(u)))) ),
inference(spl,[status(thm),theory(equality)],[40,36]),
[iquote('0:SpL:40.1,36.3')] ).
cnf(112,plain,
( ~ function(skf5(u))
| ~ relation(skf5(u))
| ~ in(skf4(skf5(u)),u)
| ~ equal(relation_dom(skf5(u)),skc7) ),
inference(obv,[status(thm),theory(equality)],[111]),
[iquote('0:Obv:111.4')] ).
cnf(113,plain,
( ~ function(skf5(u))
| ~ relation(skf5(u))
| ~ in(skf4(skf5(u)),u)
| ~ equal(u,skc7) ),
inference(rew,[status(thm),theory(equality)],[39,112]),
[iquote('0:Rew:39.0,112.3')] ).
cnf(114,plain,
( ~ in(skf4(skf5(u)),u)
| ~ equal(u,skc7) ),
inference(ssi,[status(thm)],[113,38,15]),
[iquote('0:SSi:113.1,113.0,38.0,15.0,38.0,15.0')] ).
cnf(116,plain,
~ equal(skc7,skc7),
inference(res,[status(thm),theory(equality)],[60,114]),
[iquote('0:Res:60.0,114.0')] ).
cnf(117,plain,
$false,
inference(obv,[status(thm),theory(equality)],[116]),
[iquote('0:Obv:116.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : SEU284+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12 % Command : run_spass %d %s
% 0.11/0.33 % Computer : n029.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Mon Jun 20 02:42:15 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44
% 0.18/0.44 SPASS V 3.9
% 0.18/0.44 SPASS beiseite: Proof found.
% 0.18/0.44 % SZS status Theorem
% 0.18/0.44 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.44 SPASS derived 65 clauses, backtracked 0 clauses, performed 0 splits and kept 71 clauses.
% 0.18/0.44 SPASS allocated 97817 KBytes.
% 0.18/0.44 SPASS spent 0:00:00.09 on the problem.
% 0.18/0.44 0:00:00.03 for the input.
% 0.18/0.44 0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.44 0:00:00.00 for inferences.
% 0.18/0.44 0:00:00.00 for the backtracking.
% 0.18/0.44 0:00:00.00 for the reduction.
% 0.18/0.44
% 0.18/0.44
% 0.18/0.44 Here is a proof with depth 2, length 19 :
% 0.18/0.44 % SZS output start Refutation
% See solution above
% 0.18/0.44 Formulae used in the proof : s2_funct_1__e16_22__wellord2__1 rc3_relat_1 s3_funct_1__e16_22__wellord2
% 0.18/0.44
%------------------------------------------------------------------------------