%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n011.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 14:35:07 EDT 2022
% Result : Theorem 0.19s 0.43s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 17 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(15,axiom,
in(skc9,skc8),
file('SEU217+1.p',unknown),
[] ).
cnf(19,axiom,
relation(identity_relation(u)),
file('SEU217+1.p',unknown),
[] ).
cnf(20,axiom,
function(identity_relation(u)),
file('SEU217+1.p',unknown),
[] ).
cnf(27,axiom,
~ equal(apply(identity_relation(skc8),skc9),skc9),
file('SEU217+1.p',unknown),
[] ).
cnf(36,axiom,
( ~ relation(u)
| ~ function(u)
| ~ in(v,w)
| ~ equal(u,identity_relation(w))
| equal(apply(u,v),v) ),
file('SEU217+1.p',unknown),
[] ).
cnf(44,plain,
( ~ function(identity_relation(skc8))
| ~ relation(identity_relation(skc8))
| ~ in(skc9,u)
| ~ equal(identity_relation(skc8),identity_relation(u)) ),
inference(res,[status(thm),theory(equality)],[36,27]),
[iquote('0:Res:36.4,27.0')] ).
cnf(46,plain,
( ~ in(skc9,u)
| ~ equal(identity_relation(skc8),identity_relation(u)) ),
inference(mrr,[status(thm)],[44,20,19]),
[iquote('0:MRR:44.0,44.1,20.0,19.0')] ).
cnf(47,plain,
~ equal(identity_relation(skc8),identity_relation(skc8)),
inference(res,[status(thm),theory(equality)],[15,46]),
[iquote('0:Res:15.0,46.0')] ).
cnf(49,plain,
$false,
inference(obv,[status(thm),theory(equality)],[47]),
[iquote('0:Obv:47.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SEU217+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : run_spass %d %s
% 0.12/0.33 % Computer : n011.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 13:55:24 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.43
% 0.19/0.43 SPASS V 3.9
% 0.19/0.43 SPASS beiseite: Proof found.
% 0.19/0.43 % SZS status Theorem
% 0.19/0.43 Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.43 SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 40 clauses.
% 0.19/0.43 SPASS allocated 97765 KBytes.
% 0.19/0.43 SPASS spent 0:00:00.09 on the problem.
% 0.19/0.43 0:00:00.03 for the input.
% 0.19/0.43 0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43 0:00:00.00 for inferences.
% 0.19/0.43 0:00:00.00 for the backtracking.
% 0.19/0.43 0:00:00.00 for the reduction.
% 0.19/0.43
% 0.19/0.43
% 0.19/0.43 Here is a proof with depth 2, length 9 :
% 0.19/0.43 % SZS output start Refutation
% See solution above
% 0.19/0.43 Formulae used in the proof : t35_funct_1 fc2_funct_1 t34_funct_1
% 0.19/0.43
%------------------------------------------------------------------------------