TSTP Solution File: SEU284+2 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU284+2 : 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 227.74s 227.91s
% Output : Refutation 227.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 10 unt; 0 nHn; 22 RR)
% Number of literals : 47 ( 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 : 10 ( 10 usr; 3 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(48,axiom,
relation(identity_relation(u)),
file('SEU284+2.p',unknown),
[] ).
cnf(49,axiom,
function(identity_relation(u)),
file('SEU284+2.p',unknown),
[] ).
cnf(60,axiom,
relation(skf308(u)),
file('SEU284+2.p',unknown),
[] ).
cnf(109,axiom,
equal(relation_dom(identity_relation(u)),u),
file('SEU284+2.p',unknown),
[] ).
cnf(142,axiom,
( ~ skP9(u)
| function(skf308(u)) ),
file('SEU284+2.p',unknown),
[] ).
cnf(209,axiom,
( ~ skP9(u)
| equal(relation_dom(skf308(u)),u) ),
file('SEU284+2.p',unknown),
[] ).
cnf(326,axiom,
( ~ equal(singleton(skf309(u)),singleton(skf309(u)))
| skP9(v) ),
file('SEU284+2.p',unknown),
[] ).
cnf(510,axiom,
( ~ skP9(u)
| ~ in(v,u)
| equal(apply(skf308(u),v),singleton(v)) ),
file('SEU284+2.p',unknown),
[] ).
cnf(524,axiom,
( ~ relation(u)
| ~ function(u)
| ~ equal(relation_dom(u),skc14)
| in(skf159(v),skc14) ),
file('SEU284+2.p',unknown),
[] ).
cnf(657,axiom,
( ~ function(u)
| ~ relation(u)
| ~ equal(relation_dom(u),skc14)
| ~ equal(apply(u,skf159(u)),singleton(skf159(u))) ),
file('SEU284+2.p',unknown),
[] ).
cnf(807,plain,
skP9(u),
inference(obv,[status(thm),theory(equality)],[326]),
[iquote('0:Obv:326.0')] ).
cnf(808,plain,
function(skf308(u)),
inference(mrr,[status(thm)],[142,807]),
[iquote('0:MRR:142.0,807.0')] ).
cnf(809,plain,
equal(relation_dom(skf308(u)),u),
inference(mrr,[status(thm)],[209,807]),
[iquote('0:MRR:209.0,807.0')] ).
cnf(828,plain,
( ~ in(u,v)
| equal(apply(skf308(v),u),singleton(u)) ),
inference(mrr,[status(thm)],[510,807]),
[iquote('0:MRR:510.0,807.0')] ).
cnf(895,plain,
( ~ relation(identity_relation(skc14))
| ~ function(identity_relation(skc14))
| in(skf159(u),skc14) ),
inference(res,[status(thm),theory(equality)],[109,524]),
[iquote('0:Res:109.0,524.2')] ).
cnf(932,plain,
in(skf159(u),skc14),
inference(mrr,[status(thm)],[895,48,49]),
[iquote('0:MRR:895.0,895.1,48.0,49.0')] ).
cnf(28890,plain,
( ~ function(skf308(u))
| ~ relation(skf308(u))
| ~ in(skf159(skf308(u)),u)
| ~ equal(relation_dom(skf308(u)),skc14)
| ~ equal(singleton(skf159(skf308(u))),singleton(skf159(skf308(u)))) ),
inference(spl,[status(thm),theory(equality)],[828,657]),
[iquote('0:SpL:828.1,657.3')] ).
cnf(28892,plain,
( ~ function(skf308(u))
| ~ relation(skf308(u))
| ~ in(skf159(skf308(u)),u)
| ~ equal(relation_dom(skf308(u)),skc14) ),
inference(obv,[status(thm),theory(equality)],[28890]),
[iquote('0:Obv:28890.4')] ).
cnf(28893,plain,
( ~ function(skf308(u))
| ~ relation(skf308(u))
| ~ in(skf159(skf308(u)),u)
| ~ equal(u,skc14) ),
inference(rew,[status(thm),theory(equality)],[809,28892]),
[iquote('0:Rew:809.0,28892.3')] ).
cnf(28894,plain,
( ~ in(skf159(skf308(u)),u)
| ~ equal(u,skc14) ),
inference(ssi,[status(thm)],[28893,808,60]),
[iquote('0:SSi:28893.1,28893.0,808.0,60.0,808.0,60.0')] ).
cnf(71610,plain,
~ equal(skc14,skc14),
inference(res,[status(thm),theory(equality)],[932,28894]),
[iquote('0:Res:932.0,28894.0')] ).
cnf(71640,plain,
$false,
inference(obv,[status(thm),theory(equality)],[71610]),
[iquote('0:Obv:71610.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU284+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n029.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.34 % CPULimit : 300
% 0.19/0.34 % WCLimit : 600
% 0.19/0.34 % DateTime : Sun Jun 19 08:53:59 EDT 2022
% 0.19/0.34 % CPUTime :
% 227.74/227.91
% 227.74/227.91 SPASS V 3.9
% 227.74/227.91 SPASS beiseite: Proof found.
% 227.74/227.91 % SZS status Theorem
% 227.74/227.91 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 227.74/227.91 SPASS derived 57232 clauses, backtracked 25 clauses, performed 4 splits and kept 28628 clauses.
% 227.74/227.91 SPASS allocated 166018 KBytes.
% 227.74/227.91 SPASS spent 0:3:43.12 on the problem.
% 227.74/227.91 0:00:00.04 for the input.
% 227.74/227.91 0:0:24.25 for the FLOTTER CNF translation.
% 227.74/227.91 0:00:01.25 for inferences.
% 227.74/227.91 0:00:04.27 for the backtracking.
% 227.74/227.91 0:3:11.43 for the reduction.
% 227.74/227.91
% 227.74/227.91
% 227.74/227.91 Here is a proof with depth 2, length 22 :
% 227.74/227.91 % SZS output start Refutation
% See solution above
% 227.74/227.91 Formulae used in the proof : fc2_funct_1 s2_funct_1__e16_22__wellord2__1 rc4_funct_1 t71_relat_1 s3_funct_1__e16_22__wellord2
% 227.74/227.91
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