TSTP Solution File: KRS137+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS137+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 03:30:40 EDT 2022

% Result   : Theorem 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   21 (   7 unt;   3 nHn;  21 RR)
%            Number of literals    :   51 (   0 equ;  29 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-1 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('KRS137+1.p',unknown),
    [] ).

cnf(3,axiom,
    cAutomobile(iauto),
    file('KRS137+1.p',unknown),
    [] ).

cnf(5,axiom,
    cCar(icar),
    file('KRS137+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ cowlNothing(u),
    file('KRS137+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ cCar(u)
    | cAutomobile(u) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ cAutomobile(u)
    | cCar(u) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ xsd_string(skc5)
    | ~ cowlThing(skc3)
    | ~ cCar(iauto)
    | ~ cowlThing(iauto)
    | ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | xsd_integer(skc5)
    | cowlNothing(skc4) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ xsd_integer(skc5)
    | ~ cowlThing(skc3)
    | ~ cCar(iauto)
    | ~ cowlThing(iauto)
    | ~ cowlThing(icar)
    | ~ cAutomobile(icar)
    | xsd_string(skc5)
    | cowlNothing(skc4) ),
    file('KRS137+1.p',unknown),
    [] ).

cnf(13,plain,
    ( ~ cAutomobile(icar)
    | ~ cCar(iauto)
    | xsd_integer(skc5) ),
    inference(mrr,[status(thm)],[11,7,1,6]),
    [iquote('0:MRR:11.0,11.1,11.3,11.4,11.7,7.1,1.0,1.0,1.0,6.0')] ).

cnf(14,plain,
    ( ~ cAutomobile(icar)
    | ~ cCar(iauto)
    | xsd_string(skc5) ),
    inference(mrr,[status(thm)],[12,13,1,6]),
    [iquote('0:MRR:12.0,12.1,12.3,12.4,12.7,13.2,1.0,1.0,1.0,6.0')] ).

cnf(24,plain,
    ( ~ cCar(icar)
    | ~ cCar(iauto)
    | xsd_integer(skc5) ),
    inference(res,[status(thm),theory(equality)],[8,13]),
    [iquote('0:Res:8.1,13.0')] ).

cnf(25,plain,
    ( ~ cCar(iauto)
    | xsd_integer(skc5) ),
    inference(ssi,[status(thm)],[24,5]),
    [iquote('0:SSi:24.0,5.0')] ).

cnf(27,plain,
    ( ~ cCar(icar)
    | ~ cCar(iauto)
    | xsd_string(skc5) ),
    inference(res,[status(thm),theory(equality)],[8,14]),
    [iquote('0:Res:8.1,14.0')] ).

cnf(28,plain,
    ( ~ cCar(iauto)
    | xsd_string(skc5) ),
    inference(ssi,[status(thm)],[27,5]),
    [iquote('0:SSi:27.0,5.0')] ).

cnf(29,plain,
    ( ~ cAutomobile(iauto)
    | xsd_integer(skc5) ),
    inference(res,[status(thm),theory(equality)],[9,25]),
    [iquote('0:Res:9.1,25.0')] ).

cnf(30,plain,
    xsd_integer(skc5),
    inference(ssi,[status(thm)],[29,3]),
    [iquote('0:SSi:29.0,3.0')] ).

cnf(33,plain,
    ( ~ cAutomobile(iauto)
    | xsd_string(skc5) ),
    inference(res,[status(thm),theory(equality)],[9,28]),
    [iquote('0:Res:9.1,28.0')] ).

cnf(34,plain,
    xsd_string(skc5),
    inference(ssi,[status(thm)],[33,3]),
    [iquote('0:SSi:33.0,3.0')] ).

cnf(35,plain,
    $false,
    inference(ems,[status(thm)],[10,30,34]),
    [iquote('0:EmS:10.0,10.1,30.0,34.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.08  % Problem  : KRS137+1 : TPTP v8.1.0. Released v3.1.0.
% 0.04/0.08  % Command  : run_spass %d %s
% 0.06/0.26  % Computer : n032.cluster.edu
% 0.06/0.26  % Model    : x86_64 x86_64
% 0.06/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26  % Memory   : 8042.1875MB
% 0.06/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26  % CPULimit : 300
% 0.06/0.26  % WCLimit  : 600
% 0.06/0.26  % DateTime : Tue Jun  7 15:58:20 EDT 2022
% 0.06/0.26  % CPUTime  : 
% 0.11/0.34  
% 0.11/0.34  SPASS V 3.9 
% 0.11/0.34  SPASS beiseite: Proof found.
% 0.11/0.34  % SZS status Theorem
% 0.11/0.34  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.11/0.34  SPASS derived 9 clauses, backtracked 0 clauses, performed 0 splits and kept 17 clauses.
% 0.11/0.34  SPASS allocated 97878 KBytes.
% 0.11/0.34  SPASS spent	0:00:00.06 on the problem.
% 0.11/0.34  		0:00:00.02 for the input.
% 0.11/0.34  		0:00:00.02 for the FLOTTER CNF translation.
% 0.11/0.34  		0:00:00.00 for inferences.
% 0.11/0.34  		0:00:00.00 for the backtracking.
% 0.11/0.34  		0:00:00.00 for the reduction.
% 0.11/0.34  
% 0.11/0.34  
% 0.11/0.34  Here is a proof with depth 3, length 21 :
% 0.11/0.34  % SZS output start Refutation
% See solution above
% 0.11/0.34  Formulae used in the proof : axiom_0 axiom_4 axiom_6 axiom_1 axiom_2 the_axiom
% 0.11/0.34  
%------------------------------------------------------------------------------