%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 14:35:45 EDT 2022

% Result   : Theorem 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   13 (   9 unt;   0 nHn;  13 RR)
%            Number of literals    :   26 (   0 equ;  15 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    9 (   8 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ordinal(skc2),
    file('SEU275+1.p',unknown),
    [] ).

cnf(5,axiom,
    relation(inclusion_relation(u)),
    file('SEU275+1.p',unknown),
    [] ).

cnf(6,axiom,
    reflexive(inclusion_relation(u)),
    file('SEU275+1.p',unknown),
    [] ).

cnf(7,axiom,
    transitive(inclusion_relation(u)),
    file('SEU275+1.p',unknown),
    [] ).

cnf(8,axiom,
    antisymmetric(inclusion_relation(u)),
    file('SEU275+1.p',unknown),
    [] ).

cnf(9,axiom,
    ~ well_ordering(inclusion_relation(skc2)),
    file('SEU275+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ ordinal(u)
    | connected(inclusion_relation(u)) ),
    file('SEU275+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ ordinal(u)
    | well_founded_relation(inclusion_relation(u)) ),
    file('SEU275+1.p',unknown),
    [] ).

cnf(20,axiom,
    ( ~ relation(u)
    | ~ well_founded_relation(u)
    | ~ connected(u)
    | ~ antisymmetric(u)
    | ~ transitive(u)
    | ~ reflexive(u)
    | well_ordering(u) ),
    file('SEU275+1.p',unknown),
    [] ).

cnf(21,plain,
    connected(inclusion_relation(skc2)),
    inference(res,[status(thm),theory(equality)],[1,12]),
    [iquote('0:Res:1.0,12.0')] ).

cnf(22,plain,
    well_founded_relation(inclusion_relation(skc2)),
    inference(res,[status(thm),theory(equality)],[1,13]),
    [iquote('0:Res:1.0,13.0')] ).

cnf(25,plain,
    ( ~ reflexive(inclusion_relation(skc2))
    | ~ transitive(inclusion_relation(skc2))
    | ~ antisymmetric(inclusion_relation(skc2))
    | ~ connected(inclusion_relation(skc2))
    | ~ well_founded_relation(inclusion_relation(skc2))
    | ~ relation(inclusion_relation(skc2)) ),
    inference(res,[status(thm),theory(equality)],[20,9]),
    [iquote('0:Res:20.6,9.0')] ).

cnf(26,plain,
    $false,
    inference(mrr,[status(thm)],[25,6,7,8,21,22,5]),
    [iquote('0:MRR:25.0,25.1,25.2,25.3,25.4,25.5,6.0,7.0,8.0,21.0,22.0,5.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU275+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n029.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun Jun 19 03:19:59 EDT 2022
% 0.19/0.34  % 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/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.19/0.43  SPASS allocated 97678 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.08 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 1, length 13 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : t7_wellord2 dt_k1_wellord2 t2_wellord2 t3_wellord2 t5_wellord2 t4_wellord2 t6_wellord2 d4_wellord1
% 0.19/0.43  
%------------------------------------------------------------------------------