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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 01:54:16 PM UTC 2026

% Result   : Theorem 1.94s 1.29s
% Output   : CNFRefutation 1.94s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   58 (  14 unt;   0 def)
%            Number of atoms       :  190 (   0 equ)
%            Maximal formula atoms :   10 (   3 avg)
%            Number of connectives :  227 (  95   ~;  94   |;  30   &)
%                                         (   6 <=>;   1  =>;   0  <=;   1 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   37 (   0 sgn  33   !;   4   ?;  11   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,axiom,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_0) ).

fof(f2,axiom,
    ! [X0] :
      ( xsd_string(X0)
    <=> ~ xsd_integer(X0) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

fof(f26,axiom,
    ! [X0] :
      ( cC140(X0)
    <=> ( cC138(X0)
        & cTOP(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

fof(f72,axiom,
    ! [X0] :
      ( cTEST(X0)
    <=> ( cC116(X0)
        & cC140(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

fof(f73,axiom,
    cTEST(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

fof(f75,axiom,
    cowlThing(iV5475),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

fof(f90,conjecture,
    ( cC140(iV5475)
    & cC116(iV5475)
    & cowlThing(iV5475)
    & cC138(iV5475)
    & ! [X0] :
        ( xsd_string(X0)
      <=> ~ xsd_integer(X0) )
    & ! [X0] :
        ( ~ cowlNothing(X0)
        & cowlThing(X0) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',the_axiom) ).

fof(f91,negated_conjecture,
    ~ ( cC140(iV5475)
      & cC116(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475)
      & ! [X0] :
          ( xsd_string(X0)
        <=> ~ xsd_integer(X0) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(negated_conjecture,[status(cth)],[f90]) ).

fof(f92,plain,
    ~ ( cC140(iV5475)
      & cC116(iV5475)
      & cowlThing(iV5475)
      & cC138(iV5475)
      & ! [X1] :
          ( xsd_string(X1)
        <=> ~ xsd_integer(X1) )
      & ! [X0] :
          ( ~ cowlNothing(X0)
          & cowlThing(X0) ) ),
    inference(rectify,[],[f91]) ).

fof(f93,plain,
    ! [X0] :
      ( cTEST(X0)
     => ( cC116(X0)
        & cC140(X0) ) ),
    inference(unused_predicate_definition_removal,[],[f72]) ).

fof(f94,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | ( cC116(X0)
        & cC140(X0) ) ),
    inference(ennf_transformation,[],[f93]) ).

fof(f99,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ? [X1] :
        ( xsd_string(X1)
      <~> ~ xsd_integer(X1) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(ennf_transformation,[],[f92]) ).

fof(f100,plain,
    ! [X0] :
      ( ( ~ xsd_string(X0)
        | ~ xsd_integer(X0) )
      & ( xsd_integer(X0)
        | xsd_string(X0) ) ),
    inference(nnf_transformation,[],[f2]) ).

fof(f160,plain,
    ! [X0] :
      ( ( ~ cC140(X0)
        | ( cC138(X0)
          & cTOP(X0) ) )
      & ( ~ cC138(X0)
        | ~ cTOP(X0)
        | cC140(X0) ) ),
    inference(nnf_transformation,[],[f26]) ).

fof(f161,plain,
    ! [X0] :
      ( ( ~ cC140(X0)
        | ( cC138(X0)
          & cTOP(X0) ) )
      & ( ~ cC138(X0)
        | ~ cTOP(X0)
        | cC140(X0) ) ),
    inference(flattening,[],[f160]) ).

fof(f277,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ? [X1] :
        ( ( xsd_string(X1)
          | ~ xsd_integer(X1) )
        & ( ~ xsd_string(X1)
          | xsd_integer(X1) ) )
    | ? [X0] :
        ( cowlNothing(X0)
        | ~ cowlThing(X0) ) ),
    inference(nnf_transformation,[],[f99]) ).

fof(f278,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ( ( xsd_string(sK39)
        | ~ xsd_integer(sK39) )
      & ( ~ xsd_string(sK39)
        | xsd_integer(sK39) ) )
    | cowlNothing(sK38)
    | ~ cowlThing(sK38) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK38,sK39]),skolemize(X0,sK38),skolemize(X1,sK39)],[f277]) ).

fof(f279,plain,
    ! [X0] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f280,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f1]) ).

fof(f281,plain,
    ! [X0] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f282,plain,
    ! [X0] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f100]) ).

fof(f352,plain,
    ! [X0] :
      ( ~ cC140(X0)
      | cC138(X0) ),
    inference(cnf_transformation,[],[f161]) ).

fof(f490,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC116(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f491,plain,
    ! [X0] :
      ( ~ cTEST(X0)
      | cC140(X0) ),
    inference(cnf_transformation,[],[f94]) ).

fof(f492,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f73]) ).

fof(f494,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f75]) ).

fof(f509,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | xsd_string(sK39)
    | ~ xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ cowlThing(sK38) ),
    inference(cnf_transformation,[],[f278]) ).

fof(f510,plain,
    ( ~ cC140(iV5475)
    | ~ cC116(iV5475)
    | ~ cowlThing(iV5475)
    | ~ cC138(iV5475)
    | ~ xsd_string(sK39)
    | xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ cowlThing(sK38) ),
    inference(cnf_transformation,[],[f278]) ).

tcf(c_49,plain,
    ! [X0: $i] : cowlThing(X0),
    inference(cnf_transformation,[],[f280]) ).

tcf(c_50,plain,
    ! [X0: $i] : ~ cowlNothing(X0),
    inference(cnf_transformation,[],[f279]) ).

tcf(c_51,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(cnf_transformation,[],[f282]) ).

tcf(c_52,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(cnf_transformation,[],[f281]) ).

tcf(c_124,plain,
    ! [X0: $i] :
      ( cC138(X0)
      | ~ cC140(X0) ),
    inference(cnf_transformation,[],[f352]) ).

tcf(c_260,plain,
    ! [X0: $i] :
      ( cC140(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f491]) ).

tcf(c_261,plain,
    ! [X0: $i] :
      ( cC116(X0)
      | ~ cTEST(X0) ),
    inference(cnf_transformation,[],[f490]) ).

tcf(c_262,plain,
    cTEST(iV5475),
    inference(cnf_transformation,[],[f492]) ).

tcf(c_264,plain,
    cowlThing(iV5475),
    inference(cnf_transformation,[],[f494]) ).

tcf(c_279,negated_conjecture,
    ( xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475)
    | ~ cC116(iV5475)
    | ~ xsd_string(sK39)
    | ~ cowlThing(sK38)
    | ~ cowlThing(iV5475) ),
    inference(cnf_transformation,[],[f510]) ).

tcf(c_280,negated_conjecture,
    ( xsd_string(sK39)
    | cowlNothing(sK38)
    | ~ cC140(iV5475)
    | ~ cC138(iV5475)
    | ~ cC116(iV5475)
    | ~ xsd_integer(sK39)
    | ~ cowlThing(sK38)
    | ~ cowlThing(iV5475) ),
    inference(cnf_transformation,[],[f509]) ).

tcf(c_283,plain,
    ( cC116(iV5475)
    | ~ cTEST(iV5475) ),
    inference(instantiation,[status(thm)],[c_261]) ).

tcf(c_284,plain,
    ( cC140(iV5475)
    | ~ cTEST(iV5475) ),
    inference(instantiation,[status(thm)],[c_260]) ).

tcf(c_314,plain,
    ( cC138(iV5475)
    | ~ cC140(iV5475) ),
    inference(instantiation,[status(thm)],[c_124]) ).

tcf(c_491,plain,
    ( xsd_string(sK39)
    | cowlNothing(sK38)
    | ~ cowlThing(sK38)
    | ~ xsd_integer(sK39) ),
    inference(global_subsumption_just,[status(thm)],[c_280,c_264,c_262,c_283,c_284,c_314,c_280]) ).

tcf(c_492,negated_conjecture,
    ( xsd_string(sK39)
    | cowlNothing(sK38)
    | ~ xsd_integer(sK39)
    | ~ cowlThing(sK38) ),
    inference(renaming,[status(thm)],[c_491]) ).

tcf(c_493,plain,
    ( xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ cowlThing(sK38)
    | ~ xsd_string(sK39) ),
    inference(global_subsumption_just,[status(thm)],[c_279,c_264,c_262,c_283,c_284,c_314,c_279]) ).

tcf(c_494,negated_conjecture,
    ( xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ xsd_string(sK39)
    | ~ cowlThing(sK38) ),
    inference(renaming,[status(thm)],[c_493]) ).

tcf(c_495,plain,
    ! [X0: $i] :
      ( ~ xsd_string(X0)
      | ~ xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_52]) ).

tcf(c_496,plain,
    ! [X0: $i] :
      ( ~ xsd_integer(X0)
      | ~ xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_495]) ).

tcf(c_497,plain,
    ! [X0: $i] :
      ( xsd_string(X0)
      | xsd_integer(X0) ),
    inference(prop_impl_just,[status(thm)],[c_51]) ).

tcf(c_498,plain,
    ! [X0: $i] :
      ( xsd_integer(X0)
      | xsd_string(X0) ),
    inference(renaming,[status(thm)],[c_497]) ).

tcf(c_1350,plain,
    ( xsd_integer(sK39)
    | cowlNothing(sK38)
    | ~ xsd_string(sK39) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_494,c_49]) ).

tcf(c_1351,plain,
    ( xsd_string(sK39)
    | cowlNothing(sK38)
    | ~ xsd_integer(sK39) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_492,c_49]) ).

tcf(c_1360,plain,
    ( xsd_string(sK39)
    | ~ xsd_integer(sK39) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1351,c_50]) ).

tcf(c_1361,plain,
    ( xsd_integer(sK39)
    | ~ xsd_string(sK39) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1350,c_50]) ).

tcf(c_1379,plain,
    xsd_integer(sK39),
    inference(backward_subsumption_resolution,[status(thm)],[c_1361,c_498]) ).

tcf(c_1381,plain,
    xsd_string(sK39),
    inference(backward_subsumption_resolution,[status(thm)],[c_1360,c_498]) ).

tcf(c_2391,plain,
    ~ xsd_integer(sK39),
    inference(resolution,[status(thm)],[c_496,c_1381]) ).

tcf(c_2392,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_2391,c_1379]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : KRS148+1 : TPTP v9.3.1. Released v3.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.37  % Computer : n015.cluster.edu
% 0.10/0.37  % Model    : x86_64 x86_64
% 0.10/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37  % Memory   : 8046.5625MB
% 0.10/0.37  % OS       : Linux 6.8.0-71-generic
% 0.10/0.37  % CPULimit : 300
% 0.10/0.37  % WCLimit  : 300
% 0.10/0.37  % DateTime : Wed Sep 23 19:34:56 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.44  % Proving...
% 1.94/1.29  % SZS status Started for theBenchmark.p
% 1.94/1.29  % SZS status Theorem for theBenchmark.p
% 1.94/1.29  
% 1.94/1.29  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 1.94/1.29  
% 1.94/1.29  % ------  iProver source info
% 1.94/1.29  
% 1.94/1.29  % git: date: 2026-07-19 20:42:38 +0200
% 1.94/1.29  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 1.94/1.29  % git: non_committed_changes: false
% 1.94/1.29  
% 1.94/1.29  % ------ Parsing...
% 1.94/1.29  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 1.94/1.29  
% 1.94/1.29  % ------ Preprocessing... sf_s  rm: 2 0s  sf_e  pe_s  pe:1:0s% 
% 1.94/1.29  
% 1.94/1.29  % SZS status Theorem for theBenchmark.p
% 1.94/1.29  
% 1.94/1.29  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 1.94/1.29  
% 1.94/1.29  
%------------------------------------------------------------------------------