%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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      :    8
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   23 (  11 unt;   6 nHn;  23 RR)
%            Number of literals    :   43 (   0 equ;  19 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   2 prp; 0-1 aty)
%            Number of functors    :    5 (   5 usr;   5 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(u),
    file('KRS166+1.p',unknown),
    [] ).

cnf(2,axiom,
    ~ cowlNothing(u),
    file('KRS166+1.p',unknown),
    [] ).

cnf(3,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ cAutomobile(u)
    | cCar(u) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ cCar(u)
    | cAutomobile(u) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ xsd_integer(skc7)
    | xsd_string(skc7)
    | skC0 ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ xsd_string(skc7)
    | xsd_integer(skc7)
    | skC0 ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ cowlThing(skc4)
    | ~ skC0
    | cCar(skc6)
    | cAutomobile(skc6)
    | cowlNothing(skc5) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ cCar(skc6)
    | ~ cAutomobile(skc6)
    | ~ cowlThing(skc4)
    | ~ skC0
    | cowlNothing(skc5) ),
    file('KRS166+1.p',unknown),
    [] ).

cnf(11,plain,
    ( skC0
    | xsd_integer(skc7) ),
    inference(mrr,[status(thm)],[7,3]),
    [iquote('0:MRR:7.0,3.1')] ).

cnf(12,plain,
    ( skC0
    | xsd_string(skc7) ),
    inference(mrr,[status(thm)],[6,11]),
    [iquote('0:MRR:6.0,11.0')] ).

cnf(13,plain,
    ( ~ skC0
    | cAutomobile(skc6) ),
    inference(mrr,[status(thm)],[9,1,5,2]),
    [iquote('0:MRR:9.0,9.2,9.4,1.0,5.0,2.0')] ).

cnf(14,plain,
    ( ~ skC0
    | ~ cCar(skc6) ),
    inference(mrr,[status(thm)],[10,13,1,2]),
    [iquote('0:MRR:10.1,10.2,10.4,13.1,1.0,2.0')] ).

cnf(23,plain,
    skC0,
    inference(spt,[spt(split,[position(s1)])],[11]),
    [iquote('1:Spt:11.0')] ).

cnf(24,plain,
    cAutomobile(skc6),
    inference(mrr,[status(thm)],[13,23]),
    [iquote('1:MRR:13.0,23.0')] ).

cnf(25,plain,
    ~ cCar(skc6),
    inference(mrr,[status(thm)],[14,23]),
    [iquote('1:MRR:14.0,23.0')] ).

cnf(26,plain,
    ~ cAutomobile(skc6),
    inference(res,[status(thm),theory(equality)],[4,25]),
    [iquote('1:Res:4.1,25.0')] ).

cnf(27,plain,
    $false,
    inference(ssi,[status(thm)],[26,24]),
    [iquote('1:SSi:26.0,24.0')] ).

cnf(28,plain,
    ~ skC0,
    inference(spt,[spt(split,[position(sa)])],[27,23]),
    [iquote('1:Spt:27.0,11.0,23.0')] ).

cnf(29,plain,
    xsd_integer(skc7),
    inference(spt,[spt(split,[position(s2)])],[11]),
    [iquote('1:Spt:27.0,11.1')] ).

cnf(30,plain,
    xsd_string(skc7),
    inference(mrr,[status(thm)],[12,28]),
    [iquote('1:MRR:12.0,28.0')] ).

cnf(31,plain,
    $false,
    inference(ems,[status(thm)],[8,29,30]),
    [iquote('1:EmS:8.0,8.1,29.0,30.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : KRS166+1 : TPTP v8.1.0. Released v3.1.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n026.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 19:36:01 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 6 clauses, backtracked 5 clauses, performed 1 splits and kept 17 clauses.
% 0.18/0.43  SPASS allocated 97765 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.43  		0:00:00.04 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 2, length 23 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : axiom_0 axiom_1 axiom_2 axiom_3 the_axiom
% 0.18/0.43  
%------------------------------------------------------------------------------