TSTP Solution File: KRS163+1 by SPASS---3.9

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%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 03:30:45 EDT 2022

% Result   : Theorem 0.20s 0.44s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   18 (  11 unt;   5 nHn;  18 RR)
%            Number of literals    :   35 (   0 equ;  14 neg)
%            Maximal clause size   :    7 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   6 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    cowlThing(u),
    file('KRS163+1.p',unknown),
    [] ).

cnf(2,axiom,
    cA(ia),
    file('KRS163+1.p',unknown),
    [] ).

cnf(4,axiom,
    cB(ib),
    file('KRS163+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ cowlNothing(u),
    file('KRS163+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS163+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS163+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ cA(u)
    | ~ cB(u) ),
    file('KRS163+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ xsd_integer(skc5)
    | ~ cowlThing(skc3)
    | ~ cowlThing(ia)
    | ~ cowlThing(ib)
    | xsd_string(skc5)
    | cowlNothing(skc4)
    | equal(ib,ia) ),
    file('KRS163+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ xsd_string(skc5)
    | ~ cowlThing(skc3)
    | ~ cowlThing(ia)
    | ~ cowlThing(ib)
    | xsd_integer(skc5)
    | cowlNothing(skc4)
    | equal(ib,ia) ),
    file('KRS163+1.p',unknown),
    [] ).

cnf(12,plain,
    ( xsd_integer(skc5)
    | equal(ib,ia) ),
    inference(mrr,[status(thm)],[11,7,1,6]),
    [iquote('0:MRR:11.0,11.1,11.2,11.3,11.5,7.1,1.0,1.0,1.0,6.0')] ).

cnf(13,plain,
    ( xsd_string(skc5)
    | equal(ib,ia) ),
    inference(mrr,[status(thm)],[10,12,1,6]),
    [iquote('0:MRR:10.0,10.1,10.2,10.3,10.5,12.0,1.0,1.0,1.0,6.0')] ).

cnf(14,plain,
    equal(ib,ia),
    inference(spt,[spt(split,[position(s1)])],[12]),
    [iquote('1:Spt:12.1')] ).

cnf(15,plain,
    cB(ia),
    inference(rew,[status(thm),theory(equality)],[14,4]),
    [iquote('1:Rew:14.0,4.0')] ).

cnf(17,plain,
    $false,
    inference(ems,[status(thm)],[9,2,15]),
    [iquote('1:EmS:9.0,9.1,2.0,15.0')] ).

cnf(18,plain,
    ~ equal(ib,ia),
    inference(spt,[spt(split,[position(sa)])],[17,14]),
    [iquote('1:Spt:17.0,12.1,14.0')] ).

cnf(19,plain,
    xsd_integer(skc5),
    inference(spt,[spt(split,[position(s2)])],[12]),
    [iquote('1:Spt:17.0,12.0')] ).

cnf(20,plain,
    xsd_string(skc5),
    inference(mrr,[status(thm)],[13,18]),
    [iquote('1:MRR:13.1,18.0')] ).

cnf(21,plain,
    $false,
    inference(ems,[status(thm)],[8,19,20]),
    [iquote('1:EmS:8.0,8.1,19.0,20.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS163+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n018.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jun  7 16:32:36 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.44  
% 0.20/0.44  SPASS V 3.9 
% 0.20/0.44  SPASS beiseite: Proof found.
% 0.20/0.44  % SZS status Theorem
% 0.20/0.44  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.44  SPASS derived 6 clauses, backtracked 4 clauses, performed 1 splits and kept 17 clauses.
% 0.20/0.44  SPASS allocated 97797 KBytes.
% 0.20/0.44  SPASS spent	0:00:00.08 on the problem.
% 0.20/0.44  		0:00:00.03 for the input.
% 0.20/0.44  		0:00:00.03 for the FLOTTER CNF translation.
% 0.20/0.44  		0:00:00.00 for inferences.
% 0.20/0.44  		0:00:00.00 for the backtracking.
% 0.20/0.44  		0:00:00.00 for the reduction.
% 0.20/0.44  
% 0.20/0.44  
% 0.20/0.44  Here is a proof with depth 2, length 18 :
% 0.20/0.44  % SZS output start Refutation
% See solution above
% 0.20/0.44  Formulae used in the proof : axiom_0 axiom_2 axiom_4 axiom_1 axiom_6 the_axiom
% 0.20/0.44  
%------------------------------------------------------------------------------