%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n028.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 : Sun Jul 17 03:30:46 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (   7 unt;   6 nHn;  18 RR)
%            Number of literals    :   37 (   0 equ;  16 neg)
%            Maximal clause size   :    5 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   2 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   7 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(u),
    file('KRS171+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ cowlNothing(u),
    file('KRS171+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ xsd_integer(skc9)
    | xsd_string(skc9)
    | skC0 ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ xsd_string(skc9)
    | xsd_integer(skc9)
    | skC0 ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ rhasHead(u,v)
    | rhasLeader(u,v) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ rhasLeader(u,v)
    | rhasHead(u,v) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ cowlThing(skc5)
    | ~ skC0
    | rhasLeader(skc8,skc7)
    | rhasHead(skc8,skc7)
    | cowlNothing(skc6) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ rhasLeader(skc8,skc7)
    | ~ rhasHead(skc8,skc7)
    | ~ cowlThing(skc5)
    | ~ skC0
    | cowlNothing(skc6) ),
    file('KRS171+1.p',unknown),
    [] ).

cnf(11,plain,
    ( xsd_integer(skc9)
    | skC0 ),
    inference(mrr,[status(thm)],[5,3]),
    [iquote('0:MRR:5.0,3.1')] ).

cnf(12,plain,
    ( xsd_string(skc9)
    | skC0 ),
    inference(mrr,[status(thm)],[4,11]),
    [iquote('0:MRR:4.0,11.0')] ).

cnf(13,plain,
    ( ~ skC0
    | rhasHead(skc8,skc7) ),
    inference(mrr,[status(thm)],[9,1,8,2]),
    [iquote('0:MRR:9.0,9.2,9.4,1.0,8.0,2.0')] ).

cnf(14,plain,
    ~ skC0,
    inference(mrr,[status(thm)],[10,7,13,1,2]),
    [iquote('0:MRR:10.0,10.1,10.2,10.4,7.1,13.1,1.0,2.0')] ).

cnf(15,plain,
    xsd_integer(skc9),
    inference(mrr,[status(thm)],[11,14]),
    [iquote('0:MRR:11.1,14.0')] ).

cnf(16,plain,
    xsd_string(skc9),
    inference(mrr,[status(thm)],[12,14]),
    [iquote('0:MRR:12.1,14.0')] ).

cnf(17,plain,
    ~ xsd_string(skc9),
    inference(res,[status(thm),theory(equality)],[15,6]),
    [iquote('0:Res:15.0,6.1')] ).

cnf(19,plain,
    $false,
    inference(mrr,[status(thm)],[17,16]),
    [iquote('0:MRR:17.0,16.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KRS171+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n028.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 : Tue Jun  7 16:55:30 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 13 clauses.
% 0.18/0.43  SPASS allocated 97774 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.18/0.43  		0:00:00.03 for the input.
% 0.18/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.00 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 1, length 18 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : axiom_0 axiom_1 the_axiom axiom_2 axiom_3
% 0.18/0.43  
%------------------------------------------------------------------------------