%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n019.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 14:33:47 EDT 2022
% Result : Theorem 0.19s 0.47s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of clauses : 13 ( 4 unt; 3 nHn; 13 RR)
% Number of literals : 26 ( 0 equ; 12 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc10),
file('SEU062+1.p',unknown),
[] ).
cnf(29,axiom,
~ subset(skc11,relation_rng(skc10)),
file('SEU062+1.p',unknown),
[] ).
cnf(41,axiom,
( subset(u,v)
| in(skf4(v,u),u) ),
file('SEU062+1.p',unknown),
[] ).
cnf(44,axiom,
( ~ in(skf4(u,v),u)
| subset(w,u) ),
file('SEU062+1.p',unknown),
[] ).
cnf(48,axiom,
( ~ in(u,skc11)
| ~ equal(relation_inverse_image(skc10,singleton(u)),empty_set) ),
file('SEU062+1.p',unknown),
[] ).
cnf(53,axiom,
( ~ relation(u)
| in(v,relation_rng(u))
| equal(relation_inverse_image(u,singleton(v)),empty_set) ),
file('SEU062+1.p',unknown),
[] ).
cnf(181,plain,
( ~ relation(skc10)
| ~ in(u,skc11)
| ~ equal(empty_set,empty_set)
| in(u,relation_rng(skc10)) ),
inference(spl,[status(thm),theory(equality)],[53,48]),
[iquote('0:SpL:53.2,48.1')] ).
cnf(182,plain,
( ~ relation(skc10)
| ~ in(u,skc11)
| in(u,relation_rng(skc10)) ),
inference(obv,[status(thm),theory(equality)],[181]),
[iquote('0:Obv:181.2')] ).
cnf(183,plain,
( ~ in(u,skc11)
| in(u,relation_rng(skc10)) ),
inference(ssi,[status(thm)],[182,1]),
[iquote('0:SSi:182.0,1.0')] ).
cnf(187,plain,
( ~ in(skf4(relation_rng(skc10),u),skc11)
| subset(v,relation_rng(skc10)) ),
inference(res,[status(thm),theory(equality)],[183,44]),
[iquote('0:Res:183.1,44.0')] ).
cnf(565,plain,
( subset(skc11,relation_rng(skc10))
| subset(u,relation_rng(skc10)) ),
inference(res,[status(thm),theory(equality)],[41,187]),
[iquote('0:Res:41.1,187.0')] ).
cnf(567,plain,
subset(skc11,relation_rng(skc10)),
inference(con,[status(thm)],[565]),
[iquote('0:Con:565.1')] ).
cnf(568,plain,
$false,
inference(mrr,[status(thm)],[567,29]),
[iquote('0:MRR:567.0,29.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SEU062+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run_spass %d %s
% 0.12/0.34 % Computer : n019.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jun 20 01:32:24 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.47
% 0.19/0.47 SPASS V 3.9
% 0.19/0.47 SPASS beiseite: Proof found.
% 0.19/0.47 % SZS status Theorem
% 0.19/0.47 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 SPASS derived 448 clauses, backtracked 0 clauses, performed 0 splits and kept 241 clauses.
% 0.19/0.47 SPASS allocated 97971 KBytes.
% 0.19/0.47 SPASS spent 0:00:00.12 on the problem.
% 0.19/0.47 0:00:00.04 for the input.
% 0.19/0.47 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.47 0:00:00.01 for inferences.
% 0.19/0.47 0:00:00.00 for the backtracking.
% 0.19/0.47 0:00:00.02 for the reduction.
% 0.19/0.47
% 0.19/0.47
% 0.19/0.47 Here is a proof with depth 3, length 13 :
% 0.19/0.47 % SZS output start Refutation
% See solution above
% 0.19/0.47 Formulae used in the proof : t143_funct_1 d3_tarski t142_funct_1
% 0.19/0.47
%------------------------------------------------------------------------------