%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n026.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 0.17s 0.43s
% Output : Refutation 0.17s
% 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(skc3),
file('SEU219+1.p',unknown),
[] ).
cnf(2,axiom,
function(skc3),
file('SEU219+1.p',unknown),
[] ).
cnf(3,axiom,
one_to_one(skc3),
file('SEU219+1.p',unknown),
[] ).
cnf(13,axiom,
( ~ relation(u)
| equal(relation_dom(relation_inverse(u)),relation_rng(u)) ),
file('SEU219+1.p',unknown),
[] ).
cnf(14,axiom,
( ~ relation(u)
| equal(relation_rng(relation_inverse(u)),relation_dom(u)) ),
file('SEU219+1.p',unknown),
[] ).
cnf(17,axiom,
( ~ equal(relation_dom(function_inverse(skc3)),relation_rng(skc3))
| ~ equal(relation_rng(function_inverse(skc3)),relation_dom(skc3)) ),
file('SEU219+1.p',unknown),
[] ).
cnf(18,axiom,
( ~ one_to_one(u)
| ~ function(u)
| ~ relation(u)
| equal(relation_inverse(u),function_inverse(u)) ),
file('SEU219+1.p',unknown),
[] ).
cnf(20,plain,
( ~ relation(skc3)
| ~ function(skc3)
| equal(relation_inverse(skc3),function_inverse(skc3)) ),
inference(res,[status(thm),theory(equality)],[3,18]),
[iquote('0:Res:3.0,18.2')] ).
cnf(27,plain,
equal(relation_dom(relation_inverse(skc3)),relation_rng(skc3)),
inference(res,[status(thm),theory(equality)],[1,13]),
[iquote('0:Res:1.0,13.0')] ).
cnf(28,plain,
equal(relation_rng(relation_inverse(skc3)),relation_dom(skc3)),
inference(res,[status(thm),theory(equality)],[1,14]),
[iquote('0:Res:1.0,14.0')] ).
cnf(33,plain,
equal(relation_inverse(skc3),function_inverse(skc3)),
inference(mrr,[status(thm)],[20,1,2]),
[iquote('0:MRR:20.0,20.1,1.0,2.0')] ).
cnf(36,plain,
equal(relation_dom(function_inverse(skc3)),relation_rng(skc3)),
inference(rew,[status(thm),theory(equality)],[33,27]),
[iquote('0:Rew:33.0,27.0')] ).
cnf(37,plain,
equal(relation_rng(function_inverse(skc3)),relation_dom(skc3)),
inference(rew,[status(thm),theory(equality)],[33,28]),
[iquote('0:Rew:33.0,28.0')] ).
cnf(38,plain,
( ~ equal(relation_rng(skc3),relation_rng(skc3))
| ~ equal(relation_rng(function_inverse(skc3)),relation_dom(skc3)) ),
inference(rew,[status(thm),theory(equality)],[36,17]),
[iquote('0:Rew:36.0,17.0')] ).
cnf(39,plain,
~ equal(relation_rng(function_inverse(skc3)),relation_dom(skc3)),
inference(obv,[status(thm),theory(equality)],[38]),
[iquote('0:Obv:38.0')] ).
cnf(40,plain,
~ equal(relation_dom(skc3),relation_dom(skc3)),
inference(rew,[status(thm),theory(equality)],[37,39]),
[iquote('0:Rew:37.0,39.0')] ).
cnf(41,plain,
$false,
inference(obv,[status(thm),theory(equality)],[40]),
[iquote('0:Obv:40.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU219+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.12 % Command : run_spass %d %s
% 0.12/0.32 % Computer : n026.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jun 19 17:21:55 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.17/0.43
% 0.17/0.43 SPASS V 3.9
% 0.17/0.43 SPASS beiseite: Proof found.
% 0.17/0.43 % SZS status Theorem
% 0.17/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.43 SPASS derived 17 clauses, backtracked 0 clauses, performed 0 splits and kept 28 clauses.
% 0.17/0.43 SPASS allocated 97636 KBytes.
% 0.17/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.17/0.43 0:00:00.04 for the input.
% 0.17/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.17/0.43 0:00:00.00 for inferences.
% 0.17/0.43 0:00:00.00 for the backtracking.
% 0.17/0.43 0:00:00.00 for the reduction.
% 0.17/0.43
% 0.17/0.43
% 0.17/0.43 Here is a proof with depth 1, length 17 :
% 0.17/0.43 % SZS output start Refutation
% See solution above
% 0.17/0.43 Formulae used in the proof : t55_funct_1 t37_relat_1 d9_funct_1
% 0.17/0.43
%------------------------------------------------------------------------------