%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n014.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 14:33:32 EDT 2022

% Result   : Theorem 0.18s 0.45s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   14 (   6 unt;   0 nHn;  14 RR)
%            Number of literals    :   26 (   0 equ;  19 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc7),
    file('SEU010+1.p',unknown),
    [] ).

cnf(2,axiom,
    function(skc7),
    file('SEU010+1.p',unknown),
    [] ).

cnf(17,axiom,
    subset(u,u),
    file('SEU010+1.p',unknown),
    [] ).

cnf(52,axiom,
    ( ~ relation(u)
    | ~ subset(relation_dom(u),v)
    | equal(relation_composition(identity_relation(v),u),u) ),
    file('SEU010+1.p',unknown),
    [] ).

cnf(53,axiom,
    ( ~ relation(u)
    | ~ subset(relation_rng(u),v)
    | equal(relation_composition(u,identity_relation(v)),u) ),
    file('SEU010+1.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ equal(relation_composition(skc7,identity_relation(relation_rng(skc7))),skc7)
    | ~ equal(relation_composition(identity_relation(relation_dom(skc7)),skc7),skc7) ),
    file('SEU010+1.p',unknown),
    [] ).

cnf(60,plain,
    ( ~ subset(relation_dom(skc7),u)
    | equal(relation_composition(identity_relation(u),skc7),skc7) ),
    inference(res,[status(thm),theory(equality)],[1,52]),
    [iquote('0:Res:1.0,52.0')] ).

cnf(291,plain,
    ( ~ subset(relation_dom(skc7),relation_dom(skc7))
    | ~ equal(relation_composition(skc7,identity_relation(relation_rng(skc7))),skc7)
    | ~ equal(skc7,skc7) ),
    inference(spl,[status(thm),theory(equality)],[60,54]),
    [iquote('0:SpL:60.1,54.1')] ).

cnf(294,plain,
    ( ~ subset(relation_dom(skc7),relation_dom(skc7))
    | ~ equal(relation_composition(skc7,identity_relation(relation_rng(skc7))),skc7) ),
    inference(obv,[status(thm),theory(equality)],[291]),
    [iquote('0:Obv:291.2')] ).

cnf(295,plain,
    ~ equal(relation_composition(skc7,identity_relation(relation_rng(skc7))),skc7),
    inference(mrr,[status(thm)],[294,17]),
    [iquote('0:MRR:294.0,17.0')] ).

cnf(299,plain,
    ( ~ relation(skc7)
    | ~ subset(relation_rng(skc7),relation_rng(skc7))
    | ~ equal(skc7,skc7) ),
    inference(spl,[status(thm),theory(equality)],[53,295]),
    [iquote('0:SpL:53.2,295.0')] ).

cnf(300,plain,
    ( ~ relation(skc7)
    | ~ subset(relation_rng(skc7),relation_rng(skc7)) ),
    inference(obv,[status(thm),theory(equality)],[299]),
    [iquote('0:Obv:299.2')] ).

cnf(301,plain,
    ~ subset(relation_rng(skc7),relation_rng(skc7)),
    inference(ssi,[status(thm)],[300,2,1]),
    [iquote('0:SSi:300.0,2.0,1.0')] ).

cnf(302,plain,
    $false,
    inference(mrr,[status(thm)],[301,17]),
    [iquote('0:MRR:301.0,17.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU010+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n014.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 00:17:33 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.45  
% 0.18/0.45  SPASS V 3.9 
% 0.18/0.45  SPASS beiseite: Proof found.
% 0.18/0.45  % SZS status Theorem
% 0.18/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.45  SPASS derived 204 clauses, backtracked 0 clauses, performed 0 splits and kept 133 clauses.
% 0.18/0.45  SPASS allocated 97799 KBytes.
% 0.18/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.18/0.45  		0:00:00.03 for the input.
% 0.18/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.45  		0:00:00.00 for inferences.
% 0.18/0.45  		0:00:00.00 for the backtracking.
% 0.18/0.45  		0:00:00.01 for the reduction.
% 0.18/0.45  
% 0.18/0.45  
% 0.18/0.45  Here is a proof with depth 3, length 14 :
% 0.18/0.45  % SZS output start Refutation
% See solution above
% 0.18/0.45  Formulae used in the proof : t42_funct_1 reflexivity_r1_tarski t77_relat_1 t79_relat_1
% 0.18/0.45  
%------------------------------------------------------------------------------