%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 14:34:44 EDT 2022

% Result   : Theorem 0.75s 0.99s
% Output   : Refutation 0.75s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   13 (   5 unt;   0 nHn;  13 RR)
%            Number of literals    :   27 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   2 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc6),
    file('SEU177+2.p',unknown),
    [] ).

cnf(17,axiom,
    in(ordered_pair(skc8,skc7),skc6),
    file('SEU177+2.p',unknown),
    [] ).

cnf(103,axiom,
    ( ~ in(skc7,relation_rng(skc6))
    | ~ in(skc8,relation_dom(skc6)) ),
    file('SEU177+2.p',unknown),
    [] ).

cnf(196,axiom,
    ( ~ relation(u)
    | ~ equal(v,relation_dom(u))
    | ~ in(ordered_pair(w,x),u)
    | in(w,v) ),
    file('SEU177+2.p',unknown),
    [] ).

cnf(198,axiom,
    ( ~ relation(u)
    | ~ equal(v,relation_rng(u))
    | ~ in(ordered_pair(w,x),u)
    | in(x,v) ),
    file('SEU177+2.p',unknown),
    [] ).

cnf(292,plain,
    ( ~ relation(skc6)
    | ~ equal(u,relation_dom(skc6))
    | in(skc8,u) ),
    inference(res,[status(thm),theory(equality)],[17,196]),
    [iquote('0:Res:17.0,196.2')] ).

cnf(293,plain,
    ( ~ relation(skc6)
    | ~ equal(u,relation_rng(skc6))
    | in(skc7,u) ),
    inference(res,[status(thm),theory(equality)],[17,198]),
    [iquote('0:Res:17.0,198.2')] ).

cnf(302,plain,
    ( ~ equal(u,relation_dom(skc6))
    | in(skc8,u) ),
    inference(mrr,[status(thm)],[292,1]),
    [iquote('0:MRR:292.0,1.0')] ).

cnf(303,plain,
    ( ~ equal(u,relation_rng(skc6))
    | in(skc7,u) ),
    inference(mrr,[status(thm)],[293,1]),
    [iquote('0:MRR:293.0,1.0')] ).

cnf(836,plain,
    ( ~ equal(relation_dom(skc6),relation_dom(skc6))
    | ~ in(skc7,relation_rng(skc6)) ),
    inference(res,[status(thm),theory(equality)],[302,103]),
    [iquote('0:Res:302.1,103.1')] ).

cnf(837,plain,
    ~ in(skc7,relation_rng(skc6)),
    inference(obv,[status(thm),theory(equality)],[836]),
    [iquote('0:Obv:836.0')] ).

cnf(838,plain,
    ~ equal(relation_rng(skc6),relation_rng(skc6)),
    inference(res,[status(thm),theory(equality)],[303,837]),
    [iquote('0:Res:303.1,837.0')] ).

cnf(839,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[838]),
    [iquote('0:Obv:838.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SEU177+2 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n024.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 20 14:18:47 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.75/0.99  
% 0.75/0.99  SPASS V 3.9 
% 0.75/0.99  SPASS beiseite: Proof found.
% 0.75/0.99  % SZS status Theorem
% 0.75/0.99  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.75/0.99  SPASS derived 522 clauses, backtracked 1 clauses, performed 1 splits and kept 449 clauses.
% 0.75/0.99  SPASS allocated 101986 KBytes.
% 0.75/0.99  SPASS spent	0:00:00.63 on the problem.
% 0.75/0.99  		0:00:00.04 for the input.
% 0.75/0.99  		0:00:00.52 for the FLOTTER CNF translation.
% 0.75/0.99  		0:00:00.00 for inferences.
% 0.75/0.99  		0:00:00.00 for the backtracking.
% 0.75/0.99  		0:00:00.04 for the reduction.
% 0.75/0.99  
% 0.75/0.99  
% 0.75/0.99  Here is a proof with depth 3, length 13 :
% 0.75/0.99  % SZS output start Refutation
% See solution above
% 0.75/0.99  Formulae used in the proof : t20_relat_1 d4_relat_1 d5_relat_1
% 0.75/0.99  
%------------------------------------------------------------------------------