TSTP Solution File: CSR038+3 by iProver---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : iProver---3.9
% Problem  : CSR038+3 : TPTP v8.1.2. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover %s %d THM

% Computer : n026.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 02:11:18 EDT 2024

% Result   : Theorem 124.07s 17.23s
% Output   : CNFRefutation 124.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   47 (  10 unt;   0 def)
%            Number of atoms       :   94 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   86 (  39   ~;  30   |;   6   &)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-4 aty)
%            Number of variables   :   53 (   0 sgn  34   !;   3   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f86,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_86) ).

fof(f453,axiom,
    ! [X6,X7,X8,X9] :
      ( ( relationexistsall(X8,X9,X7)
        & isa(X6,X7) )
     => isa(f_relationexistsallfn(X6,X8,X9,X7),X9) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_453) ).

fof(f1867,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1867) ).

fof(f1868,axiom,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_1868) ).

fof(f2321,axiom,
    ! [X6] :
      ( isa(X6,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X6,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X6) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_2321) ).

fof(f7784,axiom,
    ! [X14] :
      ( subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X14)
     => isa(X14,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7784) ).

fof(f7785,axiom,
    ! [X14] :
      ( isa(X14,c_tptpcol_16_7738)
     => tptpcol_16_7738(X14) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2_7785) ).

fof(f8006,conjecture,
    ? [X14] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptpcol_16_7738(X14)
        & tptp_8_968(X14,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query138) ).

fof(f8007,negated_conjecture,
    ~ ? [X14] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X14)
          & tptp_8_968(X14,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(negated_conjecture,[],[f8006]) ).

fof(f8033,plain,
    ! [X0,X1,X2,X3] :
      ( ( relationexistsall(X2,X3,X1)
        & isa(X0,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(rectify,[],[f453]) ).

fof(f8130,plain,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
     => tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(rectify,[],[f2321]) ).

fof(f11506,plain,
    ! [X0] :
      ( subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
     => isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(rectify,[],[f7784]) ).

fof(f11507,plain,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_7738)
     => tptpcol_16_7738(X0) ),
    inference(rectify,[],[f7785]) ).

fof(f11726,plain,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X0)
          & tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(rectify,[],[f8007]) ).

fof(f12610,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(ennf_transformation,[],[f8033]) ).

fof(f12611,plain,
    ! [X0,X1,X2,X3] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(flattening,[],[f12610]) ).

fof(f13382,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(ennf_transformation,[],[f8130]) ).

fof(f16943,plain,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0) ),
    inference(ennf_transformation,[],[f11506]) ).

fof(f16944,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(ennf_transformation,[],[f11507]) ).

fof(f17119,plain,
    ! [X0] :
      ( ( ~ tptpcol_16_7738(X0)
        | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) )
      & mtvisible(c_knowledgefragmentd3mt) ),
    inference(ennf_transformation,[],[f11726]) ).

fof(f17203,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f86]) ).

fof(f17564,plain,
    ! [X2,X3,X0,X1] :
      ( isa(f_relationexistsallfn(X0,X2,X3,X1),X3)
      | ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1) ),
    inference(cnf_transformation,[],[f12611]) ).

fof(f18949,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f1867]) ).

fof(f18950,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(cnf_transformation,[],[f1868]) ).

fof(f19397,plain,
    ! [X0] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf_transformation,[],[f13382]) ).

fof(f24241,plain,
    ! [X0] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0) ),
    inference(cnf_transformation,[],[f16943]) ).

fof(f24242,plain,
    ! [X0] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(cnf_transformation,[],[f16944]) ).

fof(f24407,plain,
    ! [X0] :
      ( ~ tptpcol_16_7738(X0)
      | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(cnf_transformation,[],[f17119]) ).

cnf(c_132,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f17203]) ).

cnf(c_493,plain,
    ( ~ relationexistsall(X0,X1,X2)
    | ~ isa(X3,X2)
    | isa(f_relationexistsallfn(X3,X0,X1,X2),X1) ),
    inference(cnf_transformation,[],[f17564]) ).

cnf(c_1878,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f18949]) ).

cnf(c_1879,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(cnf_transformation,[],[f18950]) ).

cnf(c_2326,plain,
    ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(cnf_transformation,[],[f19397]) ).

cnf(c_7170,plain,
    ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
    | isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf_transformation,[],[f24241]) ).

cnf(c_7171,plain,
    ( ~ isa(X0,c_tptpcol_16_7738)
    | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f24242]) ).

cnf(c_7335,negated_conjecture,
    ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f24407]) ).

cnf(c_15289,plain,
    ( tptpcol_16_7738(X0)
    | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(prop_impl_just,[status(thm)],[c_7171]) ).

cnf(c_15290,plain,
    ( ~ isa(X0,c_tptpcol_16_7738)
    | tptpcol_16_7738(X0) ),
    inference(renaming,[status(thm)],[c_15289]) ).

cnf(c_20029,plain,
    ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
    | tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0) ),
    inference(prop_impl_just,[status(thm)],[c_7170,c_2326]) ).

cnf(c_20031,plain,
    ( ~ tptpcol_16_7738(X0)
    | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(prop_impl_just,[status(thm)],[c_7335]) ).

cnf(c_20032,plain,
    ( ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(X0) ),
    inference(renaming,[status(thm)],[c_20031]) ).

cnf(c_60088,plain,
    ( ~ isa(X0,c_tptpcol_16_7738)
    | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(resolution,[status(thm)],[c_15290,c_20032]) ).

cnf(c_62316,plain,
    ( ~ isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
    | ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(resolution,[status(thm)],[c_20029,c_60088]) ).

cnf(c_76392,plain,
    ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(resolution,[status(thm)],[c_132,c_493]) ).

cnf(c_184516,plain,
    ( ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(prop_impl_just,[status(thm)],[c_76392]) ).

cnf(c_248077,plain,
    ( ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
    | isa(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738) ),
    inference(instantiation,[status(thm)],[c_184516]) ).

cnf(c_248078,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_248077,c_62316,c_1878,c_1879]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : CSR038+3 : TPTP v8.1.2. Released v3.4.0.
% 0.10/0.11  % Command  : run_iprover %s %d THM
% 0.11/0.32  % Computer : n026.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 300
% 0.11/0.32  % DateTime : Thu May  2 23:24:21 EDT 2024
% 0.11/0.32  % CPUTime  : 
% 0.17/0.44  Running first-order theorem proving
% 0.17/0.44  Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 124.07/17.23  % SZS status Started for theBenchmark.p
% 124.07/17.23  % SZS status Theorem for theBenchmark.p
% 124.07/17.23  
% 124.07/17.23  %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 124.07/17.23  
% 124.07/17.23  ------  iProver source info
% 124.07/17.23  
% 124.07/17.23  git: date: 2024-05-02 19:28:25 +0000
% 124.07/17.23  git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 124.07/17.23  git: non_committed_changes: false
% 124.07/17.23  
% 124.07/17.23  ------ Parsing...
% 124.07/17.23  ------ Clausification by vclausify_rel  & Parsing by iProver...
% 124.07/17.23  
% 124.07/17.23  ------ Preprocessing... sf_s  rm: 246 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe:16:0s pe:32:0s pe:64:0s pe:128:0s pe:256:0s pe:512:0s pe:1024:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e 
% 124.07/17.23  
% 124.07/17.23  ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 124.07/17.23  ------ Proving...
% 124.07/17.23  ------ Problem Properties 
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  clauses                                 4776
% 124.07/17.23  conjectures                             1
% 124.07/17.23  EPR                                     3452
% 124.07/17.23  Horn                                    4776
% 124.07/17.23  unary                                   2566
% 124.07/17.23  binary                                  1791
% 124.07/17.23  lits                                    7405
% 124.07/17.23  lits eq                                 0
% 124.07/17.23  fd_pure                                 0
% 124.07/17.23  fd_pseudo                               0
% 124.07/17.23  fd_cond                                 0
% 124.07/17.23  fd_pseudo_cond                          0
% 124.07/17.23  AC symbols                              0
% 124.07/17.23  
% 124.07/17.23  ------ Schedule dynamic 5 is on 
% 124.07/17.23  
% 124.07/17.23  ------ no equalities: superposition off 
% 124.07/17.23  
% 124.07/17.23  ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  ------ 
% 124.07/17.23  Current options:
% 124.07/17.23  ------ 
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  ------ Proving...
% 124.07/17.23  
% 124.07/17.23  
% 124.07/17.23  % SZS status Theorem for theBenchmark.p
% 124.07/17.23  
% 124.07/17.23  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 124.07/17.23  
% 124.07/17.24  
%------------------------------------------------------------------------------