TSTP Solution File: KRS156+1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : KRS156+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n021.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 03:30:44 EDT 2022

% Result   : Theorem 3.42s 3.60s
% Output   : Refutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   22 (   8 unt;   3 nHn;  22 RR)
%            Number of literals    :   58 (   0 equ;  42 neg)
%            Maximal clause size   :    8 (   2 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   11 (  10 usr;   1 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('KRS156+1.p',unknown),
    [] ).

cnf(2,axiom,
    cTOP(iV5475),
    file('KRS156+1.p',unknown),
    [] ).

cnf(4,axiom,
    cC114xcomp(iV5475),
    file('KRS156+1.p',unknown),
    [] ).

cnf(5,axiom,
    cTEST(iV5475),
    file('KRS156+1.p',unknown),
    [] ).

cnf(14,axiom,
    ~ cowlNothing(u),
    file('KRS156+1.p',unknown),
    [] ).

cnf(19,axiom,
    ( xsd_string(u)
    | xsd_integer(u) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ cC140(u)
    | cC138(u) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(82,axiom,
    ( ~ cTEST(u)
    | cC140(u) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(83,axiom,
    ( ~ cTEST(u)
    | cC116(u) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(84,axiom,
    ( ~ xsd_integer(u)
    | ~ xsd_string(u) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(344,axiom,
    ( ~ xsd_string(skc5)
    | ~ cowlThing(skc3)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | xsd_integer(skc5)
    | cowlNothing(skc4) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(345,axiom,
    ( ~ xsd_integer(skc5)
    | ~ cowlThing(skc3)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | xsd_string(skc5)
    | cowlNothing(skc4) ),
    file('KRS156+1.p',unknown),
    [] ).

cnf(346,plain,
    ( ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | xsd_integer(skc5) ),
    inference(mrr,[status(thm)],[344,19,1,14]),
    [iquote('0:MRR:344.0,344.1,344.4,344.7,19.1,1.0,1.0,14.0')] ).

cnf(347,plain,
    ( ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | xsd_string(skc5) ),
    inference(mrr,[status(thm)],[345,346,1,14]),
    [iquote('0:MRR:345.0,345.1,345.4,345.7,346.3,1.0,1.0,14.0')] ).

cnf(7987,plain,
    ( ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475) ),
    inference(ems,[status(thm)],[84,346,347]),
    [iquote('0:EmS:84.0,84.1,346.3,347.3')] ).

cnf(7989,plain,
    ( ~ cC116(iV5475)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475) ),
    inference(obv,[status(thm),theory(equality)],[7987]),
    [iquote('0:Obv:7987.2')] ).

cnf(8049,plain,
    ( ~ cTEST(iV5475)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(res,[status(thm),theory(equality)],[82,7989]),
    [iquote('0:Res:82.1,7989.1')] ).

cnf(11105,plain,
    ( ~ cC116(iV5475)
    | ~ cC138(iV5475) ),
    inference(ssi,[status(thm)],[8049,5,2]),
    [iquote('0:SSi:8049.0,5.0,2.0')] ).

cnf(12234,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475) ),
    inference(res,[status(thm),theory(equality)],[41,11105]),
    [iquote('0:Res:41.1,11105.1')] ).

cnf(12949,plain,
    ~ cC116(iV5475),
    inference(ssi,[status(thm)],[12234,82,5,2,4]),
    [iquote('0:SSi:12234.0,82.0,5.0,2.0,4.1')] ).

cnf(12951,plain,
    ~ cTEST(iV5475),
    inference(res,[status(thm),theory(equality)],[83,12949]),
    [iquote('0:Res:83.1,12949.0')] ).

cnf(12952,plain,
    $false,
    inference(ssi,[status(thm)],[12951,5,2,4]),
    [iquote('0:SSi:12951.0,5.0,2.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : KRS156+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n021.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 10:33:51 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 3.42/3.60  
% 3.42/3.60  SPASS V 3.9 
% 3.42/3.60  SPASS beiseite: Proof found.
% 3.42/3.60  % SZS status Theorem
% 3.42/3.60  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.42/3.60  SPASS derived 10373 clauses, backtracked 9892 clauses, performed 118 splits and kept 13088 clauses.
% 3.42/3.60  SPASS allocated 103673 KBytes.
% 3.42/3.60  SPASS spent	0:00:03.22 on the problem.
% 3.42/3.60  		0:00:00.04 for the input.
% 3.42/3.60  		0:00:00.27 for the FLOTTER CNF translation.
% 3.42/3.60  		0:00:00.10 for inferences.
% 3.42/3.60  		0:00:00.06 for the backtracking.
% 3.42/3.60  		0:00:02.53 for the reduction.
% 3.42/3.60  
% 3.42/3.60  
% 3.42/3.60  Here is a proof with depth 4, length 22 :
% 3.42/3.60  % SZS output start Refutation
% See solution above
% 3.42/3.60  Formulae used in the proof : axiom_0 axiom_128 axiom_130 axiom_131 axiom_1 axiom_49 axiom_127 the_axiom
% 3.42/3.60  
%------------------------------------------------------------------------------