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

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%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS156+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n031.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  : 300s
% DateTime : Fri May  3 02:33:48 EDT 2024

% Result   : Theorem 1.30s 0.94s
% Output   : CNFRefutation 1.30s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   60 (  14 unt;   0 def)
%            Number of atoms       :  202 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  243 ( 101   ~; 100   |;  32   &)
%                                         (   6 <=>;   3  =>;   0  <=;   1 <~>)
%            Maximal formula depth :   10 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   10 (   9 usr;   1 prp; 0-1 aty)
%            Number of functors    :    3 (   3 usr;   3 con; 0-0 aty)
%            Number of variables   :   39 (   2 sgn  22   !;   6   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_1) ).

fof(f50,axiom,
    ! [X0] :
      ( cC140(X0)
    <=> ( cC138(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_49) ).

fof(f128,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC116(X0)
        & cC140(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_127) ).

fof(f130,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_129) ).

fof(f132,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_131) ).

fof(f146,conjecture,
    ( cC138(iV5475)
    & cowlThing(iV5475)
    & cC140(iV5475)
    & cC116(iV5475)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',the_axiom) ).

fof(f147,negated_conjecture,
    ~ ( cC138(iV5475)
      & cowlThing(iV5475)
      & cC140(iV5475)
      & cC116(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[],[f146]) ).

fof(f214,plain,
    ~ ( cC138(iV5475)
      & cowlThing(iV5475)
      & cC140(iV5475)
      & cC116(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X1] :
          ( ~ cowlNothing(X1)
          & cowlThing(X1) ) ),
    inference(rectify,[],[f147]) ).

fof(f215,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC116(X0)
        & cC140(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f128]) ).

fof(f254,plain,
    ! [X0] :
      ( ( cC116(X0)
        & cC140(X0) )
      | ~ cTEST(X0) ),
    inference(ennf_transformation,[],[f215]) ).

fof(f259,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ? [X0] :
        ( xsd_string(X0)
      <~> ~ xsd_integer(X0) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(ennf_transformation,[],[f214]) ).

fof(f260,plain,
    ! [X0] :
      ( ( xsd_string(X0)
        | xsd_integer(X0) )
      & ( ~ xsd_integer(X0)
        | ~ xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f415,plain,
    ! [X0] :
      ( ( cC140(X0)
        | ~ cC138(X0)
        | ~ cTOP(X0) )
      & ( ( cC138(X0)
          & cTOP(X0) )
        | ~ cC140(X0) ) ),
    inference(nnf_transformation,[],[f50]) ).

fof(f416,plain,
    ! [X0] :
      ( ( cC140(X0)
        | ~ cC138(X0)
        | ~ cTOP(X0) )
      & ( ( cC138(X0)
          & cTOP(X0) )
        | ~ cC140(X0) ) ),
    inference(flattening,[],[f415]) ).

fof(f677,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
    | ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) ) ),
    inference(nnf_transformation,[],[f259]) ).

fof(f678,plain,
    ( ? [X0] :
        ( ( xsd_integer(X0)
          | ~ xsd_string(X0) )
        & ( ~ xsd_integer(X0)
          | xsd_string(X0) ) )
   => ( ( xsd_integer(sK90)
        | ~ xsd_string(sK90) )
      & ( ~ xsd_integer(sK90)
        | xsd_string(sK90) ) ) ),
    introduced(choice_axiom,[]) ).

fof(f679,plain,
    ( ? [X1] :
        ( cowlNothing(X1)
        | ~ cowlThing(X1) )
   => ( cowlNothing(sK91)
      | ~ cowlThing(sK91) ) ),
    introduced(choice_axiom,[]) ).

fof(f680,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ( ( xsd_integer(sK90)
        | ~ xsd_string(sK90) )
      & ( ~ xsd_integer(sK90)
        | xsd_string(sK90) ) )
    | cowlNothing(sK91)
    | ~ cowlThing(sK91) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK90,sK91])],[f677,f679,f678]) ).

fof(f681,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f682,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f683,plain,
    ! [X0] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f684,plain,
    ! [X0] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f260]) ).

fof(f799,plain,
    ! [X0] :
      ( cC138(X0)
      | ~ cC140(X0) ),
    inference(cnf_transformation,[],[f416]) ).

fof(f997,plain,
    ! [X0] :
      ( cC140(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f998,plain,
    ! [X0] :
      ( cC116(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f254]) ).

fof(f1000,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f130]) ).

fof(f1002,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f132]) ).

fof(f1016,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ xsd_integer(sK90)
    | xsd_string(sK90)
    | cowlNothing(sK91)
    | ~ cowlThing(sK91) ),
    inference(cnf_transformation,[],[f680]) ).

fof(f1017,plain,
    ( ~ cC138(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | xsd_integer(sK90)
    | ~ xsd_string(sK90)
    | cowlNothing(sK91)
    | ~ cowlThing(sK91) ),
    inference(cnf_transformation,[],[f680]) ).

cnf(c_49,plain,
    ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f682]) ).

cnf(c_50,plain,
    cowlThing(X0),
    inference(cnf_transformation,[],[f681]) ).

cnf(c_51,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(cnf_transformation,[],[f684]) ).

cnf(c_52,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f683]) ).

cnf(c_167,plain,
    ( ~ cC140(X0)
    | cC138(X0) ),
    inference(cnf_transformation,[],[f799]) ).

cnf(c_365,plain,
    ( ~ cTEST(X0)
    | cC116(X0) ),
    inference(cnf_transformation,[],[f998]) ).

cnf(c_366,plain,
    ( ~ cTEST(X0)
    | cC140(X0) ),
    inference(cnf_transformation,[],[f997]) ).

cnf(c_368,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f1000]) ).

cnf(c_370,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f1002]) ).

cnf(c_384,negated_conjecture,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK91)
    | ~ xsd_string(sK90)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK91)
    | xsd_integer(sK90) ),
    inference(cnf_transformation,[],[f1017]) ).

cnf(c_385,negated_conjecture,
    ( ~ cowlThing(iV5475)
    | ~ cowlThing(sK91)
    | ~ xsd_integer(sK90)
    | ~ cC116(iV5475)
    | ~ cC138(iV5475)
    | ~ cC140(iV5475)
    | cowlNothing(sK91)
    | xsd_string(sK90) ),
    inference(cnf_transformation,[],[f1016]) ).

cnf(c_388,plain,
    ( ~ cTEST(iV5475)
    | cC140(iV5475) ),
    inference(instantiation,[status(thm)],[c_366]) ).

cnf(c_389,plain,
    ( ~ cTEST(iV5475)
    | cC116(iV5475) ),
    inference(instantiation,[status(thm)],[c_365]) ).

cnf(c_430,plain,
    ( ~ cC140(iV5475)
    | cC138(iV5475) ),
    inference(instantiation,[status(thm)],[c_167]) ).

cnf(c_703,plain,
    ( ~ xsd_integer(sK90)
    | ~ cowlThing(sK91)
    | cowlNothing(sK91)
    | xsd_string(sK90) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_370,c_368,c_388,c_389,c_430,c_385]) ).

cnf(c_704,negated_conjecture,
    ( ~ cowlThing(sK91)
    | ~ xsd_integer(sK90)
    | cowlNothing(sK91)
    | xsd_string(sK90) ),
    inference(renaming,[status(thm)],[c_703]) ).

cnf(c_705,plain,
    ( ~ xsd_string(sK90)
    | ~ cowlThing(sK91)
    | cowlNothing(sK91)
    | xsd_integer(sK90) ),
    inference(global_subsumption_just,[status(thm)],[c_384,c_370,c_368,c_388,c_389,c_430,c_384]) ).

cnf(c_706,negated_conjecture,
    ( ~ cowlThing(sK91)
    | ~ xsd_string(sK90)
    | cowlNothing(sK91)
    | xsd_integer(sK90) ),
    inference(renaming,[status(thm)],[c_705]) ).

cnf(c_707,plain,
    ( ~ xsd_integer(X0)
    | ~ xsd_string(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

cnf(c_708,plain,
    ( ~ xsd_string(X0)
    | ~ xsd_integer(X0) ),
    inference(renaming,[status(thm)],[c_707]) ).

cnf(c_709,plain,
    ( xsd_integer(X0)
    | xsd_string(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

cnf(c_710,plain,
    ( xsd_string(X0)
    | xsd_integer(X0) ),
    inference(renaming,[status(thm)],[c_709]) ).

cnf(c_2114,plain,
    ( ~ xsd_string(sK90)
    | cowlNothing(sK91)
    | xsd_integer(sK90) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_706,c_50]) ).

cnf(c_2115,plain,
    ( ~ xsd_integer(sK90)
    | cowlNothing(sK91)
    | xsd_string(sK90) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_704,c_50]) ).

cnf(c_2136,plain,
    ( ~ xsd_integer(sK90)
    | xsd_string(sK90) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2115,c_49]) ).

cnf(c_2137,plain,
    ( ~ xsd_string(sK90)
    | xsd_integer(sK90) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_2114,c_49]) ).

cnf(c_2143,plain,
    xsd_integer(sK90),
    inference(backward_subsumption_resolution,[status(thm)],[c_2137,c_710]) ).

cnf(c_2145,plain,
    xsd_string(sK90),
    inference(backward_subsumption_resolution,[status(thm)],[c_2136,c_710]) ).

cnf(c_3628,plain,
    ~ xsd_integer(sK90),
    inference(resolution,[status(thm)],[c_708,c_2145]) ).

cnf(c_3629,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_3628,c_2143]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.07  % Problem  : KRS156+1 : TPTP v8.1.2. Released v3.1.0.
% 0.03/0.07  % Command  : run_iprover %s %d THM
% 0.07/0.26  % Computer : n031.cluster.edu
% 0.07/0.26  % Model    : x86_64 x86_64
% 0.07/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26  % Memory   : 8042.1875MB
% 0.07/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26  % CPULimit : 300
% 0.07/0.26  % WCLimit  : 300
% 0.07/0.26  % DateTime : Thu May  2 23:13:31 EDT 2024
% 0.07/0.26  % CPUTime  : 
% 0.10/0.33  Running first-order theorem proving
% 0.10/0.33  Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 1.30/0.94  % SZS status Started for theBenchmark.p
% 1.30/0.94  % SZS status Theorem for theBenchmark.p
% 1.30/0.94  
% 1.30/0.94  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 1.30/0.94  
% 1.30/0.94  ------  iProver source info
% 1.30/0.94  
% 1.30/0.94  git: date: 2024-05-02 19:28:25 +0000
% 1.30/0.94  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 1.30/0.94  git: non_committed_changes: false
% 1.30/0.94  
% 1.30/0.94  ------ Parsing...
% 1.30/0.94  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 1.30/0.94  
% 1.30/0.94  ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s
% 1.30/0.94  
% 1.30/0.94  % SZS status Theorem for theBenchmark.p
% 1.30/0.94  
% 1.30/0.94  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.30/0.94  
% 1.30/0.94  
%------------------------------------------------------------------------------