TSTP Solution File: SEU219+3 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n009.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 14:35:09 EDT 2022
% Result : Theorem 0.21s 0.45s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of clauses : 17 ( 11 unt; 0 nHn; 17 RR)
% Number of literals : 26 ( 0 equ; 13 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
relation(skc9),
file('SEU219+3.p',unknown),
[] ).
cnf(2,axiom,
function(skc9),
file('SEU219+3.p',unknown),
[] ).
cnf(3,axiom,
one_to_one(skc9),
file('SEU219+3.p',unknown),
[] ).
cnf(54,axiom,
( ~ relation(u)
| equal(relation_dom(relation_inverse(u)),relation_rng(u)) ),
file('SEU219+3.p',unknown),
[] ).
cnf(55,axiom,
( ~ relation(u)
| equal(relation_rng(relation_inverse(u)),relation_dom(u)) ),
file('SEU219+3.p',unknown),
[] ).
cnf(62,axiom,
( ~ equal(relation_dom(function_inverse(skc9)),relation_rng(skc9))
| ~ equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)) ),
file('SEU219+3.p',unknown),
[] ).
cnf(63,axiom,
( ~ one_to_one(u)
| ~ function(u)
| ~ relation(u)
| equal(relation_inverse(u),function_inverse(u)) ),
file('SEU219+3.p',unknown),
[] ).
cnf(66,plain,
( ~ relation(skc9)
| ~ function(skc9)
| equal(relation_inverse(skc9),function_inverse(skc9)) ),
inference(res,[status(thm),theory(equality)],[3,63]),
[iquote('0:Res:3.0,63.2')] ).
cnf(75,plain,
equal(relation_dom(relation_inverse(skc9)),relation_rng(skc9)),
inference(res,[status(thm),theory(equality)],[1,54]),
[iquote('0:Res:1.0,54.0')] ).
cnf(76,plain,
equal(relation_rng(relation_inverse(skc9)),relation_dom(skc9)),
inference(res,[status(thm),theory(equality)],[1,55]),
[iquote('0:Res:1.0,55.0')] ).
cnf(81,plain,
equal(relation_inverse(skc9),function_inverse(skc9)),
inference(mrr,[status(thm)],[66,1,2]),
[iquote('0:MRR:66.0,66.1,1.0,2.0')] ).
cnf(84,plain,
equal(relation_dom(function_inverse(skc9)),relation_rng(skc9)),
inference(rew,[status(thm),theory(equality)],[81,75]),
[iquote('0:Rew:81.0,75.0')] ).
cnf(85,plain,
equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)),
inference(rew,[status(thm),theory(equality)],[81,76]),
[iquote('0:Rew:81.0,76.0')] ).
cnf(86,plain,
( ~ equal(relation_rng(skc9),relation_rng(skc9))
| ~ equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)) ),
inference(rew,[status(thm),theory(equality)],[84,62]),
[iquote('0:Rew:84.0,62.0')] ).
cnf(87,plain,
~ equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)),
inference(obv,[status(thm),theory(equality)],[86]),
[iquote('0:Obv:86.0')] ).
cnf(88,plain,
~ equal(relation_dom(skc9),relation_dom(skc9)),
inference(rew,[status(thm),theory(equality)],[85,87]),
[iquote('0:Rew:85.0,87.0')] ).
cnf(89,plain,
$false,
inference(obv,[status(thm),theory(equality)],[88]),
[iquote('0:Obv:88.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SEU219+3 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : run_spass %d %s
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jun 19 19:30:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.45
% 0.21/0.45 SPASS V 3.9
% 0.21/0.45 SPASS beiseite: Proof found.
% 0.21/0.45 % SZS status Theorem
% 0.21/0.45 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.45 SPASS derived 19 clauses, backtracked 0 clauses, performed 0 splits and kept 72 clauses.
% 0.21/0.45 SPASS allocated 97714 KBytes.
% 0.21/0.45 SPASS spent 0:00:00.09 on the problem.
% 0.21/0.45 0:00:00.03 for the input.
% 0.21/0.45 0:00:00.03 for the FLOTTER CNF translation.
% 0.21/0.45 0:00:00.00 for inferences.
% 0.21/0.45 0:00:00.00 for the backtracking.
% 0.21/0.45 0:00:00.00 for the reduction.
% 0.21/0.45
% 0.21/0.45
% 0.21/0.45 Here is a proof with depth 1, length 17 :
% 0.21/0.45 % SZS output start Refutation
% See solution above
% 0.21/0.45 Formulae used in the proof : t55_funct_1 t37_relat_1 d9_funct_1
% 0.21/0.45
%------------------------------------------------------------------------------