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iProver---3.9.4.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n007.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 01:10:04 PM UTC 2026

% Result   : Theorem 4.28s 6.30s
% Output   : CNFRefutation 4.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   41 (  12 unt;   0 def)
%            Number of atoms       :   78 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   72 (  35   ~;  27   |;   4   &)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            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   :   42 (   0 sgn  40   !;   2   ?;  13   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f85,axiom,
    ! [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) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_85) ).

fof(f1129,axiom,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1129) ).

fof(f1130,axiom,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_1130) ).

fof(f2322,axiom,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_2322) ).

fof(f3919,axiom,
    ! [X0,X1,X2,X3] :
      ( ( relationexistsall(X2,X3,X1)
        & isa(X0,X1) )
     => isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_3919) ).

fof(f7784,axiom,
    ! [X0] :
      ( subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
     => isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7784) ).

fof(f7785,axiom,
    ! [X0] :
      ( isa(X0,c_tptpcol_16_7738)
     => tptpcol_16_7738(X0) ),
    file('/export/starexec/sandbox/benchmark/Axioms/CSR002+2.ax',ax2_7785) ).

fof(f8006,conjecture,
    ? [X0] :
      ( mtvisible(c_knowledgefragmentd3mt)
     => ( tptpcol_16_7738(X0)
        & tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',query138) ).

fof(f8007,negated_conjecture,
    ~ ? [X0] :
        ( mtvisible(c_knowledgefragmentd3mt)
       => ( tptpcol_16_7738(X0)
          & tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(negated_conjecture,[status(cth)],[f8006]) ).

fof(f8043,plain,
    ! [X0] :
      ( mtvisible(c_knowledgefragmentd3mt)
      & ( ~ tptpcol_16_7738(X0)
        | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ) ),
    inference(ennf_transformation,[],[f8007]) ).

fof(f8048,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(ennf_transformation,[],[f85]) ).

fof(f8050,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(ennf_transformation,[],[f7785]) ).

fof(f8053,plain,
    ! [X0] :
      ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
      | isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(ennf_transformation,[],[f7784]) ).

fof(f8055,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(ennf_transformation,[],[f3919]) ).

fof(f8056,plain,
    ! [X0,X1,X2,X3] :
      ( ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(flattening,[],[f8055]) ).

fof(f8081,plain,
    ! [X0] :
      ( ~ tptpcol_16_7738(X0)
      | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(cnf_transformation,[],[f8043]) ).

fof(f8085,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(cnf_transformation,[],[f8048]) ).

fof(f8090,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(cnf_transformation,[],[f1130]) ).

fof(f8091,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f1129]) ).

fof(f8093,plain,
    ! [X0] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(cnf_transformation,[],[f8050]) ).

fof(f8095,plain,
    ! [X0] :
      ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0)
      | isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(cnf_transformation,[],[f8053]) ).

fof(f8098,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f2322]) ).

fof(f8100,plain,
    ! [X2,X3,X0,X1] :
      ( ~ relationexistsall(X2,X3,X1)
      | ~ isa(X0,X1)
      | isa(f_relationexistsallfn(X0,X2,X3,X1),X3) ),
    inference(cnf_transformation,[],[f8056]) ).

tcf(c_49,negated_conjecture,
    ! [X0: $i] :
      ( ~ tptpcol_16_7738(X0)
      | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(cnf_transformation,[],[f8081]) ).

tcf(c_54,plain,
    ! [X0: $i] :
      ( 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,[],[f8085]) ).

tcf(c_59,plain,
    subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804),
    inference(cnf_transformation,[],[f8090]) ).

tcf(c_60,plain,
    isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f8091]) ).

tcf(c_62,plain,
    ! [X0: $i] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(cnf_transformation,[],[f8093]) ).

tcf(c_64,plain,
    ! [X0: $i] :
      ( isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))
      | ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0) ),
    inference(cnf_transformation,[],[f8095]) ).

tcf(c_67,plain,
    relationexistsall(c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),
    inference(cnf_transformation,[],[f8098]) ).

tcf(c_69,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( isa(f_relationexistsallfn(X3,X0,X1,X2),X1)
      | ~ isa(X3,X2)
      | ~ relationexistsall(X0,X1,X2) ),
    inference(cnf_transformation,[],[f8100]) ).

tcf(c_115,plain,
    ! [X0: $i] :
      ( ~ isa(X0,c_tptpcol_16_7738)
      | tptpcol_16_7738(X0) ),
    inference(prop_impl_just,[status(thm)],[c_62]) ).

tcf(c_116,plain,
    ! [X0: $i] :
      ( tptpcol_16_7738(X0)
      | ~ isa(X0,c_tptpcol_16_7738) ),
    inference(renaming,[status(thm)],[c_115]) ).

tcf(c_119,plain,
    ! [X0: $i] :
      ( ~ tptpcol_16_7738(X0)
      | ~ tptp_8_968(X0,c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804) ),
    inference(prop_impl_just,[status(thm)],[c_49]) ).

tcf(c_125,plain,
    ! [X0: $i] :
      ( tptp_8_968(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),X0)
      | ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(X0) ),
    inference(prop_impl_just,[status(thm)],[c_64,c_54]) ).

tcf(c_310,plain,
    ( ~ subcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804)
    | ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))) ),
    inference(resolution,[status(thm)],[c_119,c_125]) ).

tcf(c_311,plain,
    ~ tptpcol_16_7738(f_relationexistsallfn(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription))),
    inference(global_subsumption_just,[status(thm)],[c_310,c_59,c_310]) ).

tcf(c_319,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),
    inference(resolution,[status(thm)],[c_116,c_311]) ).

tcf(c_331,plain,
    ! [X0: $i] :
      ( isa(f_relationexistsallfn(X0,c_tptp_8_968,c_tptpcol_16_7738,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)),c_tptpcol_16_7738)
      | ~ isa(X0,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(resolution,[status(thm)],[c_67,c_69]) ).

tcf(c_510,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)
    | ~ isa(c_tptpnsubcollectionofwithrelationtotypefnissuingaprescriptionproductscorrectivelensprescription_2804,f_subcollectionofwithrelationtotypefn(c_issuingaprescription,c_products,c_correctivelensprescription)) ),
    inference(instantiation,[status(thm)],[c_331]) ).

tcf(c_511,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_510,c_319,c_60]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR038+3 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n007.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.39  % CPULimit : 300
% 0.11/5.39  % WCLimit  : 300
% 0.11/5.39  % DateTime : Fri Sep 25 08:20:28 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.15/5.43  Running first-order theorem proving
% 0.15/5.43  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/5.44  
% 0.15/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.15/5.44  
% 0.15/5.44  % Detected problem language: tptp
% 0.15/5.45  % Proving...
% 4.28/6.30  % SZS status Started for theBenchmark.p
% 4.28/6.30  % SZS status Theorem for theBenchmark.p
% 4.28/6.30  
% 4.28/6.30  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 4.28/6.30  
% 4.28/6.30  % ------  iProver source info
% 4.28/6.30  
% 4.28/6.30  % git: date: 2026-07-19 20:42:38 +0200
% 4.28/6.30  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 4.28/6.30  % git: non_committed_changes: false
% 4.28/6.30  
% 4.28/6.30  % ------ Parsing...
% 4.28/6.30  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 4.28/6.30  
% 4.28/6.30  % ------ Preprocessing... sf_s  rm: 6 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe:4:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 4.28/6.30  
% 4.28/6.30  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 4.28/6.30  % ------ Proving...
% 4.28/6.30  % ------ Problem Properties 
% 4.28/6.30  
% 4.28/6.30  % 
% 4.28/6.30  % clauses                               15
% 4.28/6.30  % conjectures                           0
% 4.28/6.30  % EPR                                   7
% 4.28/6.30  % Horn                                  15
% 4.28/6.30  % unary                                 8
% 4.28/6.30  % binary                                5
% 4.28/6.30  % lits                                  24
% 4.28/6.30  % lits eq                               0
% 4.28/6.30  % fd_pure                               0
% 4.28/6.30  % fd_pseudo                             0
% 4.28/6.30  % fd_cond                               0
% 4.28/6.30  % fd_pseudo_cond                        0
% 4.28/6.30  % AC symbols                            0
% 4.28/6.30  
% 4.28/6.30  % ------ Schedule dynamic 5 is on 
% 4.28/6.30  
% 4.28/6.30  % ------ no conjectures: strip conj schedule 
% 4.28/6.30  
% 4.28/6.30  % ------ no equalities: superposition off 
% 4.28/6.30  
% 4.28/6.30  % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" stripped conjectures Time Limit: 10.
% 4.28/6.30  
% 4.28/6.30  
% 4.28/6.30  % ------ 
% 4.28/6.30  % Current options:
% 4.28/6.30  % ------ 
% 4.28/6.30  
% 4.28/6.30  
% 4.28/6.30  % 
% 4.28/6.30  
% 4.28/6.30  % ------ Proving...
% 4.28/6.30  % 
% 4.28/6.30  
% 4.28/6.30  % SZS status Theorem for theBenchmark.p
% 4.28/6.30  
% 4.28/6.30  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 4.28/6.31  
% 4.28/6.31  
%------------------------------------------------------------------------------