TSTP Solution File: KRS063+1 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : KRS063+1 : TPTP v8.1.2. Released v3.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n005.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 02:33:30 EDT 2024

% Result   : Unsatisfiable 0.84s 1.17s
% Output   : CNFRefutation 0.84s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   31 (  12 unt;   0 def)
%            Number of atoms       :   71 (   3 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   70 (  30   ~;  22   |;  13   &)
%                                         (   4 <=>;   1  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :   41 (   4 sgn  22   !;   5   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13,axiom,
    ! [X3] :
      ( ~ cowlNothing(X3)
      & cowlThing(X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_0) ).

fof(f16,axiom,
    ! [X3] :
      ( cEuroMP(X3)
    <=> ? [X4] :
          ( cowlThing(X4)
          & risEuroMPFrom(X3,X4) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_3) ).

fof(f18,axiom,
    ! [X3,X4] :
      ( risEuroMPFrom(X3,X4)
    <=> rhasEuroMP(X4,X3) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_5) ).

fof(f23,axiom,
    ~ cEuroMP(iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_10) ).

fof(f27,axiom,
    rhasEuroMP(iUK,iKinnock),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',axiom_14) ).

fof(f28,plain,
    ! [X0] :
      ( ~ cowlNothing(X0)
      & cowlThing(X0) ),
    inference(rectify,[],[f13]) ).

fof(f31,plain,
    ! [X0] :
      ( cEuroMP(X0)
    <=> ? [X1] :
          ( cowlThing(X1)
          & risEuroMPFrom(X0,X1) ) ),
    inference(rectify,[],[f16]) ).

fof(f33,plain,
    ! [X0,X1] :
      ( risEuroMPFrom(X0,X1)
    <=> rhasEuroMP(X1,X0) ),
    inference(rectify,[],[f18]) ).

fof(f62,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ? [X1] :
            ( cowlThing(X1)
            & risEuroMPFrom(X0,X1) )
        | ~ cEuroMP(X0) ) ),
    inference(nnf_transformation,[],[f31]) ).

fof(f63,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ? [X2] :
            ( cowlThing(X2)
            & risEuroMPFrom(X0,X2) )
        | ~ cEuroMP(X0) ) ),
    inference(rectify,[],[f62]) ).

fof(f64,plain,
    ! [X0] :
      ( ? [X2] :
          ( cowlThing(X2)
          & risEuroMPFrom(X0,X2) )
     => ( cowlThing(sK0(X0))
        & risEuroMPFrom(X0,sK0(X0)) ) ),
    introduced(choice_axiom,[]) ).

fof(f65,plain,
    ! [X0] :
      ( ( cEuroMP(X0)
        | ! [X1] :
            ( ~ cowlThing(X1)
            | ~ risEuroMPFrom(X0,X1) ) )
      & ( ( cowlThing(sK0(X0))
          & risEuroMPFrom(X0,sK0(X0)) )
        | ~ cEuroMP(X0) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f63,f64]) ).

fof(f66,plain,
    ! [X0,X1] :
      ( ( risEuroMPFrom(X0,X1)
        | ~ rhasEuroMP(X1,X0) )
      & ( rhasEuroMP(X1,X0)
        | ~ risEuroMPFrom(X0,X1) ) ),
    inference(nnf_transformation,[],[f33]) ).

fof(f79,plain,
    ! [X0] : cowlThing(X0),
    inference(cnf_transformation,[],[f28]) ).

fof(f92,plain,
    ! [X0,X1] :
      ( cEuroMP(X0)
      | ~ cowlThing(X1)
      | ~ risEuroMPFrom(X0,X1) ),
    inference(cnf_transformation,[],[f65]) ).

fof(f95,plain,
    ! [X0,X1] :
      ( risEuroMPFrom(X0,X1)
      | ~ rhasEuroMP(X1,X0) ),
    inference(cnf_transformation,[],[f66]) ).

fof(f100,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[],[f23]) ).

fof(f104,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[],[f27]) ).

cnf(c_50,plain,
    cowlThing(X0),
    inference(cnf_transformation,[],[f79]) ).

cnf(c_60,plain,
    ( ~ risEuroMPFrom(X0,X1)
    | ~ cowlThing(X1)
    | cEuroMP(X0) ),
    inference(cnf_transformation,[],[f92]) ).

cnf(c_64,plain,
    ( ~ rhasEuroMP(X0,X1)
    | risEuroMPFrom(X1,X0) ),
    inference(cnf_transformation,[],[f95]) ).

cnf(c_70,plain,
    ~ cEuroMP(iKinnock),
    inference(cnf_transformation,[],[f100]) ).

cnf(c_74,plain,
    rhasEuroMP(iUK,iKinnock),
    inference(cnf_transformation,[],[f104]) ).

cnf(c_99,plain,
    ( ~ rhasEuroMP(X0,X1)
    | risEuroMPFrom(X1,X0) ),
    inference(prop_impl_just,[status(thm)],[c_64]) ).

cnf(c_151,plain,
    ( ~ risEuroMPFrom(X0,X1)
    | cEuroMP(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_60,c_50]) ).

cnf(c_285,plain,
    ( X0 != iKinnock
    | ~ risEuroMPFrom(X0,X1) ),
    inference(resolution_lifted,[status(thm)],[c_151,c_70]) ).

cnf(c_286,plain,
    ~ risEuroMPFrom(iKinnock,X0),
    inference(unflattening,[status(thm)],[c_285]) ).

cnf(c_287,plain,
    ~ risEuroMPFrom(iKinnock,iUK),
    inference(instantiation,[status(thm)],[c_286]) ).

cnf(c_304,plain,
    ( X0 != iUK
    | X1 != iKinnock
    | risEuroMPFrom(X1,X0) ),
    inference(resolution_lifted,[status(thm)],[c_99,c_74]) ).

cnf(c_305,plain,
    risEuroMPFrom(iKinnock,iUK),
    inference(unflattening,[status(thm)],[c_304]) ).

cnf(c_306,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_305,c_287]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : KRS063+1 : TPTP v8.1.2. Released v3.1.0.
% 0.12/0.13  % Command  : run_iprover %s %d THM
% 0.13/0.34  % Computer : n005.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  : 300
% 0.13/0.34  % DateTime : Thu May  2 22:36:56 EDT 2024
% 0.20/0.35  % CPUTime  : 
% 0.20/0.47  Running first-order theorem proving
% 0.20/0.47  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
% 0.84/1.17  % SZS status Started for theBenchmark.p
% 0.84/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.84/1.17  
% 0.84/1.17  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 0.84/1.17  
% 0.84/1.17  ------  iProver source info
% 0.84/1.17  
% 0.84/1.17  git: date: 2024-05-02 19:28:25 +0000
% 0.84/1.17  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 0.84/1.17  git: non_committed_changes: false
% 0.84/1.17  
% 0.84/1.17  ------ Parsing...
% 0.84/1.17  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 0.84/1.17  
% 0.84/1.17  ------ Preprocessing... sup_sim: 0  sf_s  rm: 14 0s  sf_e  pe_s  pe:1:0s
% 0.84/1.17  
% 0.84/1.17  % SZS status Unsatisfiable for theBenchmark.p
% 0.84/1.17  
% 0.84/1.17  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 0.84/1.17  
% 0.84/1.17  
%------------------------------------------------------------------------------