%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n027.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 0.19s 0.43s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   14 (   7 unt;   3 nHn;  14 RR)
%            Number of literals    :   31 (   0 equ;  16 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 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('KRS169+1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ cowlNothing(u),
    file('KRS169+1.p',unknown),
    [] ).

cnf(5,axiom,
    rhasLeader(iX,iY),
    file('KRS169+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS169+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS169+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ rhasLeader(u,v)
    | rhasHead(u,v) ),
    file('KRS169+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ xsd_string(skc5)
    | ~ cowlThing(skc3)
    | ~ cowlThing(iX)
    | ~ rhasHead(iX,iY)
    | ~ cowlThing(iY)
    | xsd_integer(skc5)
    | cowlNothing(skc4) ),
    file('KRS169+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ xsd_integer(skc5)
    | ~ cowlThing(skc3)
    | ~ cowlThing(iX)
    | ~ rhasHead(iX,iY)
    | ~ cowlThing(iY)
    | xsd_string(skc5)
    | cowlNothing(skc4) ),
    file('KRS169+1.p',unknown),
    [] ).

cnf(12,plain,
    ( ~ rhasHead(iX,iY)
    | xsd_integer(skc5) ),
    inference(mrr,[status(thm)],[10,6,1,4]),
    [iquote('0:MRR:10.0,10.1,10.2,10.4,10.6,6.1,1.0,1.0,1.0,4.0')] ).

cnf(13,plain,
    ( ~ rhasHead(iX,iY)
    | xsd_string(skc5) ),
    inference(mrr,[status(thm)],[11,12,1,4]),
    [iquote('0:MRR:11.0,11.1,11.2,11.4,11.6,12.1,1.0,1.0,1.0,4.0')] ).

cnf(19,plain,
    rhasHead(iX,iY),
    inference(res,[status(thm),theory(equality)],[5,8]),
    [iquote('0:Res:5.0,8.0')] ).

cnf(20,plain,
    xsd_integer(skc5),
    inference(mrr,[status(thm)],[12,19]),
    [iquote('0:MRR:12.0,19.0')] ).

cnf(21,plain,
    xsd_string(skc5),
    inference(mrr,[status(thm)],[13,19]),
    [iquote('0:MRR:13.0,19.0')] ).

cnf(22,plain,
    $false,
    inference(ems,[status(thm)],[7,20,21]),
    [iquote('0:EmS:7.0,7.1,20.0,21.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13  % Problem  : KRS169+1 : TPTP v8.1.0. Released v3.1.0.
% 0.12/0.13  % Command  : run_spass %d %s
% 0.14/0.33  % Computer : n027.cluster.edu
% 0.14/0.33  % Model    : x86_64 x86_64
% 0.14/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33  % Memory   : 8042.1875MB
% 0.14/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33  % CPULimit : 300
% 0.14/0.33  % WCLimit  : 600
% 0.14/0.33  % DateTime : Tue Jun  7 13:31:40 EDT 2022
% 0.14/0.33  % CPUTime  : 
% 0.19/0.43  
% 0.19/0.43  SPASS V 3.9 
% 0.19/0.43  SPASS beiseite: Proof found.
% 0.19/0.43  % SZS status Theorem
% 0.19/0.43  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.19/0.43  SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.19/0.43  SPASS allocated 97825 KBytes.
% 0.19/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.19/0.43  		0:00:00.03 for the input.
% 0.19/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.43  		0:00:00.00 for inferences.
% 0.19/0.43  		0:00:00.00 for the backtracking.
% 0.19/0.43  		0:00:00.00 for the reduction.
% 0.19/0.43  
% 0.19/0.43  
% 0.19/0.43  Here is a proof with depth 1, length 14 :
% 0.19/0.43  % SZS output start Refutation
% See solution above
% 0.19/0.43  Formulae used in the proof : axiom_0 axiom_3 axiom_1 axiom_5 the_axiom
% 0.19/0.43  
%------------------------------------------------------------------------------