TSTP Solution File: SEU250+1 by SPASS---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n024.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 14:35:32 EDT 2022
% Result : Theorem 0.19s 0.48s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 16 ( 4 unt; 5 nHn; 16 RR)
% Number of literals : 34 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 3 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(skc8),
file('SEU250+1.p',unknown),
[] ).
cnf(29,axiom,
( subset(u,v)
| in(skf2(v,u),u) ),
file('SEU250+1.p',unknown),
[] ).
cnf(32,axiom,
( ~ in(skf2(u,v),u)
| subset(w,u) ),
file('SEU250+1.p',unknown),
[] ).
cnf(41,axiom,
( ~ relation(u)
| ~ in(v,relation_field(relation_restriction(u,w)))
| in(v,w) ),
file('SEU250+1.p',unknown),
[] ).
cnf(42,axiom,
( ~ relation(u)
| ~ in(v,relation_field(relation_restriction(u,w)))
| in(v,relation_field(u)) ),
file('SEU250+1.p',unknown),
[] ).
cnf(43,axiom,
( ~ subset(relation_field(relation_restriction(skc8,skc10)),skc10)
| ~ subset(relation_field(relation_restriction(skc8,skc9)),relation_field(skc8)) ),
file('SEU250+1.p',unknown),
[] ).
cnf(229,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),w)
| in(skf2(w,relation_field(relation_restriction(u,v))),v) ),
inference(res,[status(thm),theory(equality)],[29,41]),
[iquote('0:Res:29.1,41.1')] ).
cnf(257,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),w)
| in(skf2(w,relation_field(relation_restriction(u,v))),relation_field(u)) ),
inference(res,[status(thm),theory(equality)],[29,42]),
[iquote('0:Res:29.1,42.1')] ).
cnf(608,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),v)
| subset(w,v) ),
inference(res,[status(thm),theory(equality)],[229,32]),
[iquote('0:Res:229.2,32.0')] ).
cnf(622,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),v) ),
inference(con,[status(thm)],[608]),
[iquote('0:Con:608.2')] ).
cnf(684,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),relation_field(u))
| subset(w,relation_field(u)) ),
inference(res,[status(thm),theory(equality)],[257,32]),
[iquote('0:Res:257.2,32.0')] ).
cnf(691,plain,
( ~ relation(u)
| subset(relation_field(relation_restriction(u,v)),relation_field(u)) ),
inference(con,[status(thm)],[684]),
[iquote('0:Con:684.2')] ).
cnf(736,plain,
( ~ relation(skc8)
| ~ subset(relation_field(relation_restriction(skc8,skc10)),skc10) ),
inference(res,[status(thm),theory(equality)],[691,43]),
[iquote('0:Res:691.1,43.1')] ).
cnf(739,plain,
~ subset(relation_field(relation_restriction(skc8,skc10)),skc10),
inference(ssi,[status(thm)],[736,1]),
[iquote('0:SSi:736.0,1.0')] ).
cnf(744,plain,
~ relation(skc8),
inference(res,[status(thm),theory(equality)],[622,739]),
[iquote('0:Res:622.1,739.0')] ).
cnf(745,plain,
$false,
inference(ssi,[status(thm)],[744,1]),
[iquote('0:SSi:744.0,1.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n024.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 20 11:50:17 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.19/0.48
% 0.19/0.48 SPASS V 3.9
% 0.19/0.48 SPASS beiseite: Proof found.
% 0.19/0.48 % SZS status Theorem
% 0.19/0.48 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.48 SPASS derived 580 clauses, backtracked 0 clauses, performed 2 splits and kept 262 clauses.
% 0.19/0.48 SPASS allocated 98178 KBytes.
% 0.19/0.48 SPASS spent 0:00:00.14 on the problem.
% 0.19/0.48 0:00:00.04 for the input.
% 0.19/0.48 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.48 0:00:00.01 for inferences.
% 0.19/0.48 0:00:00.00 for the backtracking.
% 0.19/0.48 0:00:00.04 for the reduction.
% 0.19/0.48
% 0.19/0.48
% 0.19/0.48 Here is a proof with depth 4, length 16 :
% 0.19/0.48 % SZS output start Refutation
% See solution above
% 0.19/0.48 Formulae used in the proof : t20_wellord1 d3_tarski t19_wellord1
% 0.19/0.48
%------------------------------------------------------------------------------