↑ Up

Zipperpin---2.1.9999.THM-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : COM266_1 : TPTP v9.3.0. Released v9.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TvcA7DhBr4 true

% Computer : n018.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 : Tue May  5 06:23:23 PM UTC 2026

% Result   : Theorem 33.07s 5.37s
% Output   : Refutation 33.07s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   64 (  27 unt;   0 typ;   0 def)
%            Number of atoms       :  129 (  92 equ;   0 cnn)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives : 1140 (  61   ~;  53   |;   6   &;1014   @)
%                                         (   0 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   8 avg)
%            Number of types       :   13 (  12 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   47 (  45 usr;   7 con; 0-5 aty)
%            Number of variables   :  199 (   0   ^; 167   !;  32   ?; 199   :)

% Comments : 
%------------------------------------------------------------------------------
thf(vEntry_type,type,
    vEntry: $tType ).

thf(vQID_type,type,
    vQID: $tType ).

thf(vLabel_type,type,
    vLabel: $tType ).

thf(vAType_type,type,
    vAType: $tType ).

thf(vExp_type,type,
    vExp: $tType ).

thf(vQuestionnaire_type,type,
    vQuestionnaire: $tType ).

thf(vMapConf_type,type,
    vMapConf: $tType ).

thf(vATMap_type,type,
    vATMap: $tType ).

thf(vAnsMap_type,type,
    vAnsMap: $tType ).

thf(vQMap_type,type,
    vQMap: $tType ).

thf(vOptQConf_type,type,
    vOptQConf: $tType ).

thf(vQConf_type,type,
    vQConf: $tType ).

thf(sk__309_type,type,
    sk__309: vQID > vAnsMap > vQMap > vQMap ).

thf(vsomeQConf_type,type,
    vsomeQConf: vQConf > vOptQConf ).

thf(sk__307_type,type,
    sk__307: vQID > vAnsMap > vLabel > vAType > vQMap > vQuestionnaire ).

thf(vnoQConf_type,type,
    vnoQConf: vOptQConf ).

thf(sk__4_type,type,
    sk__4: vEntry > vQID ).

thf(sk__300_type,type,
    sk__300: vQID > vAnsMap > vLabel > vAType > vQMap > vQMap ).

thf(sk__310_type,type,
    sk__310: vQID > vAnsMap > vQMap > vQuestionnaire ).

thf(sk__299_type,type,
    sk__299: vQID > vAnsMap > vLabel > vAType > vQMap > vAnsMap ).

thf(sk__314_type,type,
    sk__314: vEntry ).

thf(vreduce_type,type,
    vreduce: vQuestionnaire > vAnsMap > vQMap > vOptQConf ).

thf(sk__303_type,type,
    sk__303: vExp > vQID > vAnsMap > vAType > vQMap > vQMap ).

thf(sk__9_type,type,
    sk__9: vEntry > vAType ).

thf(sk__5_type,type,
    sk__5: vEntry > vAType ).

thf(sk__3_type,type,
    sk__3: vEntry > vAType ).

thf(sk__type,type,
    sk_: vEntry > vQID ).

thf(vtypeQM_type,type,
    vtypeQM: vQMap > vATMap ).

thf(sk__40_type,type,
    sk__40: vQConf > vQMap ).

thf(vdefquestion_type,type,
    vdefquestion: vQID > vLabel > vAType > vEntry ).

thf(vptcheck_type,type,
    vptcheck: vMapConf > vQuestionnaire > vMapConf > $o ).

thf(sk__6_type,type,
    sk__6: vEntry > vExp ).

thf(sk__39_type,type,
    sk__39: vQConf > vAnsMap ).

thf(sk__306_type,type,
    sk__306: vQID > vAnsMap > vLabel > vAType > vQMap > vQMap ).

thf(sk__41_type,type,
    sk__41: vQConf > vQuestionnaire ).

thf(sk__1_type,type,
    sk__1: vEntry > vQID ).

thf(sk__24_type,type,
    sk__24: vOptQConf > vQConf ).

thf(vMC_type,type,
    vMC: vATMap > vATMap > vMapConf ).

thf(sk__312_type,type,
    sk__312: vATMap ).

thf(sk__302_type,type,
    sk__302: vExp > vQID > vAnsMap > vAType > vQMap > vAnsMap ).

thf(vqsingle_type,type,
    vqsingle: vEntry > vQuestionnaire ).

thf(vquestion_type,type,
    vquestion: vQID > vLabel > vAType > vEntry ).

thf(sk__304_type,type,
    sk__304: vExp > vQID > vAnsMap > vAType > vQMap > vQuestionnaire ).

thf(visValue_type,type,
    visValue: vQuestionnaire > $o ).

thf(vtypeAM_type,type,
    vtypeAM: vAnsMap > vATMap ).

thf(sk__2_type,type,
    sk__2: vEntry > vLabel ).

thf(vQC_type,type,
    vQC: vAnsMap > vQMap > vQuestionnaire > vQConf ).

thf(sk__305_type,type,
    sk__305: vQID > vAnsMap > vLabel > vAType > vQMap > vAnsMap ).

thf(sk__313_type,type,
    sk__313: vATMap ).

thf(vask_type,type,
    vask: vQID > vEntry ).

thf(sk__301_type,type,
    sk__301: vQID > vAnsMap > vLabel > vAType > vQMap > vQuestionnaire ).

thf(vvalue_type,type,
    vvalue: vQID > vAType > vExp > vEntry ).

thf(sk__315_type,type,
    sk__315: vAnsMap ).

thf(sk__8_type,type,
    sk__8: vEntry > vLabel ).

thf(sk__308_type,type,
    sk__308: vQID > vAnsMap > vQMap > vAnsMap ).

thf(sk__7_type,type,
    sk__7: vEntry > vQID ).

thf(sk__311_type,type,
    sk__311: vQMap ).

thf('dom-Entry',axiom,
    ! [VX: vEntry] :
      ( ? [VQID0: vQID] :
          ( VX
          = ( vask @ VQID0 ) )
      | ? [VQID0: vQID,VLabel0: vLabel,VAType0: vAType] :
          ( VX
          = ( vdefquestion @ VQID0 @ VLabel0 @ VAType0 ) )
      | ? [VQID0: vQID,VAType0: vAType,VExp0: vExp] :
          ( VX
          = ( vvalue @ VQID0 @ VAType0 @ VExp0 ) )
      | ? [VQID0: vQID,VLabel0: vLabel,VAType0: vAType] :
          ( VX
          = ( vquestion @ VQID0 @ VLabel0 @ VAType0 ) ) ) ).

thf(zip_derived_cl0,plain,
    ! [X0: vEntry] :
      ( ( X0
        = ( vask @ ( sk_ @ X0 ) ) )
      | ( X0
        = ( vdefquestion @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) )
      | ( X0
        = ( vvalue @ ( sk__4 @ X0 ) @ ( sk__5 @ X0 ) @ ( sk__6 @ X0 ) ) )
      | ( X0
        = ( vquestion @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[dom-Entry]) ).

thf('Progress-qsingle',conjecture,
    ! [Vqm: vQMap,Vatm2: vATMap,Vqtm2: vATMap,Ve: vEntry,Vam: vAnsMap] :
      ( ( ~ ( visValue @ ( vqsingle @ Ve ) )
        & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ Ve ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
     => ? [Vam0000: vAnsMap,Vqm0000: vQMap,Vq0000: vQuestionnaire] :
          ( ( vreduce @ ( vqsingle @ Ve ) @ Vam @ Vqm )
          = ( vsomeQConf @ ( vQC @ Vam0000 @ Vqm0000 @ Vq0000 ) ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ~ ! [Vqm: vQMap,Vatm2: vATMap,Vqtm2: vATMap,Ve: vEntry,Vam: vAnsMap] :
        ( ( ~ ( visValue @ ( vqsingle @ Ve ) )
          & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ Ve ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
       => ? [Vam0000: vAnsMap,Vqm0000: vQMap,Vq0000: vQuestionnaire] :
            ( ( vreduce @ ( vqsingle @ Ve ) @ Vam @ Vqm )
            = ( vsomeQConf @ ( vQC @ Vam0000 @ Vqm0000 @ Vq0000 ) ) ) ),
    inference('cnf.neg',[status(esa)],[Progress-qsingle]) ).

thf(zip_derived_cl605,plain,
    vptcheck @ ( vMC @ ( vtypeAM @ sk__315 ) @ ( vtypeQM @ sk__311 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ sk__312 @ sk__313 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Progress-qsingle-value',axiom,
    ! [Vqm: vQMap,Vt: vAType,Vatm2: vATMap,Vqtm2: vATMap,Vam: vAnsMap,Vqid: vQID,Vexp: vExp] :
      ( ( ~ ( visValue @ ( vqsingle @ ( vvalue @ Vqid @ Vt @ Vexp ) ) )
        & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ ( vvalue @ Vqid @ Vt @ Vexp ) ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
     => ? [Vam00000: vAnsMap,Vqm00000: vQMap,Vq00000: vQuestionnaire] :
          ( ( vreduce @ ( vqsingle @ ( vvalue @ Vqid @ Vt @ Vexp ) ) @ Vam @ Vqm )
          = ( vsomeQConf @ ( vQC @ Vam00000 @ Vqm00000 @ Vq00000 ) ) ) ) ).

thf(zip_derived_cl601,plain,
    ! [X0: vExp,X1: vQID,X2: vAnsMap,X3: vAType,X4: vQMap,X5: vATMap,X6: vATMap] :
      ( ( ( vreduce @ ( vqsingle @ ( vvalue @ X1 @ X3 @ X0 ) ) @ X2 @ X4 )
        = ( vsomeQConf @ ( vQC @ ( sk__302 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__303 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__304 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X2 ) @ ( vtypeQM @ X4 ) ) @ ( vqsingle @ ( vvalue @ X1 @ X3 @ X0 ) ) @ ( vMC @ X5 @ X6 ) )
      | ( visValue @ ( vqsingle @ ( vvalue @ X1 @ X3 @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[Progress-qsingle-value]) ).

thf(zip_derived_cl606,plain,
    ~ ( visValue @ ( vqsingle @ sk__314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2160,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vExp,X3: vAType,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vvalue @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ ( vvalue @ X4 @ X3 @ X2 ) ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ ( vvalue @ X4 @ X3 @ X2 ) ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__302 @ X2 @ X4 @ X1 @ X3 @ X0 ) @ ( sk__303 @ X2 @ X4 @ X1 @ X3 @ X0 ) @ ( sk__304 @ X2 @ X4 @ X1 @ X3 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl601,zip_derived_cl606]) ).

thf(zip_derived_cl18176,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vExp,X3: vAType,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vvalue @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ sk__314 ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__302 @ X2 @ X4 @ X1 @ X3 @ X0 ) @ ( sk__303 @ X2 @ X4 @ X1 @ X3 @ X0 ) @ ( sk__304 @ X2 @ X4 @ X1 @ X3 @ X0 ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2160]) ).

thf(zip_derived_cl18177,plain,
    ! [X0: vAType,X1: vQID,X2: vExp] :
      ( ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
        = ( vsomeQConf @ ( vQC @ ( sk__302 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) @ ( sk__303 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) @ ( sk__304 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vvalue @ X1 @ X0 @ X2 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl18176]) ).

thf('dom-OptQConf',axiom,
    ! [VX: vOptQConf] :
      ( ? [VQConf0: vQConf] :
          ( VX
          = ( vsomeQConf @ VQConf0 ) )
      | ( VX = vnoQConf ) ) ).

thf(zip_derived_cl50,plain,
    ! [X0: vOptQConf] :
      ( ( X0
        = ( vsomeQConf @ ( sk__24 @ X0 ) ) )
      | ( X0 = vnoQConf ) ),
    inference(cnf,[status(esa)],[dom-OptQConf]) ).

thf('dom-QConf',axiom,
    ! [VX: vQConf] :
    ? [VAnsMap0: vAnsMap,VQMap0: vQMap,VQuestionnaire0: vQuestionnaire] :
      ( VX
      = ( vQC @ VAnsMap0 @ VQMap0 @ VQuestionnaire0 ) ) ).

thf(zip_derived_cl78,plain,
    ! [X0: vQConf] :
      ( X0
      = ( vQC @ ( sk__39 @ X0 ) @ ( sk__40 @ X0 ) @ ( sk__41 @ X0 ) ) ),
    inference(cnf,[status(esa)],[dom-QConf]) ).

thf(zip_derived_cl604,plain,
    ! [X0: vAnsMap,X1: vQMap,X2: vQuestionnaire] :
      ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
     != ( vsomeQConf @ ( vQC @ X0 @ X1 @ X2 ) ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl11225,plain,
    ! [X0: vQConf] :
      ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
     != ( vsomeQConf @ X0 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl78,zip_derived_cl604]) ).

thf(zip_derived_cl11226,plain,
    ! [X0: vOptQConf] :
      ( ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
       != X0 )
      | ( X0 = vnoQConf ) ),
    inference('sup-',[status(thm)],[zip_derived_cl50,zip_derived_cl11225]) ).

thf(zip_derived_cl11228,plain,
    ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
    = vnoQConf ),
    inference(eq_res,[status(thm)],[zip_derived_cl11226]) ).

thf(zip_derived_cl18188,plain,
    ! [X0: vAType,X1: vQID,X2: vExp] :
      ( ( vnoQConf
        = ( vsomeQConf @ ( vQC @ ( sk__302 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) @ ( sk__303 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) @ ( sk__304 @ X2 @ X1 @ sk__315 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vvalue @ X1 @ X0 @ X2 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18177,zip_derived_cl11228]) ).

thf('DIFF-noQConf-someQConf',axiom,
    ! [VQConf0: vQConf] :
      ( vnoQConf
     != ( vsomeQConf @ VQConf0 ) ) ).

thf(zip_derived_cl52,plain,
    ! [X0: vQConf] :
      ( vnoQConf
     != ( vsomeQConf @ X0 ) ),
    inference(cnf,[status(esa)],[DIFF-noQConf-someQConf]) ).

thf(zip_derived_cl18189,plain,
    ! [X0: vAType,X1: vQID,X2: vExp] :
      ( ( vqsingle @ ( vvalue @ X1 @ X0 @ X2 ) )
     != ( vqsingle @ sk__314 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18188,zip_derived_cl52]) ).

thf(zip_derived_cl18191,plain,
    ! [X0: vEntry] :
      ( ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) )
      | ( X0
        = ( vquestion @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) )
      | ( X0
        = ( vdefquestion @ ( sk__1 @ X0 ) @ ( sk__2 @ X0 ) @ ( sk__3 @ X0 ) ) )
      | ( X0
        = ( vask @ ( sk_ @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl18189]) ).

thf(zip_derived_cl605_001,plain,
    vptcheck @ ( vMC @ ( vtypeAM @ sk__315 ) @ ( vtypeQM @ sk__311 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ sk__312 @ sk__313 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Progress-qsingle-defquestion',axiom,
    ! [Vqm: vQMap,Vt: vAType,Vatm2: vATMap,Vqtm2: vATMap,Vl: vLabel,Vam: vAnsMap,Vqid: vQID] :
      ( ( ~ ( visValue @ ( vqsingle @ ( vdefquestion @ Vqid @ Vl @ Vt ) ) )
        & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ ( vdefquestion @ Vqid @ Vl @ Vt ) ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
     => ? [Vam00000: vAnsMap,Vqm00000: vQMap,Vq00000: vQuestionnaire] :
          ( ( vreduce @ ( vqsingle @ ( vdefquestion @ Vqid @ Vl @ Vt ) ) @ Vam @ Vqm )
          = ( vsomeQConf @ ( vQC @ Vam00000 @ Vqm00000 @ Vq00000 ) ) ) ) ).

thf(zip_derived_cl602,plain,
    ! [X0: vQID,X1: vAnsMap,X2: vLabel,X3: vAType,X4: vQMap,X5: vATMap,X6: vATMap] :
      ( ( ( vreduce @ ( vqsingle @ ( vdefquestion @ X0 @ X2 @ X3 ) ) @ X1 @ X4 )
        = ( vsomeQConf @ ( vQC @ ( sk__305 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__306 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__307 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X4 ) ) @ ( vqsingle @ ( vdefquestion @ X0 @ X2 @ X3 ) ) @ ( vMC @ X5 @ X6 ) )
      | ( visValue @ ( vqsingle @ ( vdefquestion @ X0 @ X2 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[Progress-qsingle-defquestion]) ).

thf(zip_derived_cl606_002,plain,
    ~ ( visValue @ ( vqsingle @ sk__314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2165,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vAType,X3: vLabel,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vdefquestion @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ ( vdefquestion @ X4 @ X3 @ X2 ) ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ ( vdefquestion @ X4 @ X3 @ X2 ) ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__305 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__306 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__307 @ X4 @ X1 @ X3 @ X2 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl602,zip_derived_cl606]) ).

thf(zip_derived_cl18390,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vAType,X3: vLabel,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vdefquestion @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ sk__314 ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__305 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__306 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__307 @ X4 @ X1 @ X3 @ X2 @ X0 ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2165]) ).

thf(zip_derived_cl18391,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
        = ( vsomeQConf @ ( vQC @ ( sk__305 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__306 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__307 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vdefquestion @ X2 @ X1 @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl18390]) ).

thf(zip_derived_cl11228_003,plain,
    ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
    = vnoQConf ),
    inference(eq_res,[status(thm)],[zip_derived_cl11226]) ).

thf(zip_derived_cl18402,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( vnoQConf
        = ( vsomeQConf @ ( vQC @ ( sk__305 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__306 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__307 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vdefquestion @ X2 @ X1 @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18391,zip_derived_cl11228]) ).

thf(zip_derived_cl52_004,plain,
    ! [X0: vQConf] :
      ( vnoQConf
     != ( vsomeQConf @ X0 ) ),
    inference(cnf,[status(esa)],[DIFF-noQConf-someQConf]) ).

thf(zip_derived_cl18403,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( vqsingle @ ( vdefquestion @ X2 @ X1 @ X0 ) )
     != ( vqsingle @ sk__314 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18402,zip_derived_cl52]) ).

thf(zip_derived_cl18438,plain,
    ! [X0: vEntry] :
      ( ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) )
      | ( X0
        = ( vask @ ( sk_ @ X0 ) ) )
      | ( X0
        = ( vquestion @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) )
      | ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18191,zip_derived_cl18403]) ).

thf(zip_derived_cl18439,plain,
    ! [X0: vEntry] :
      ( ( X0
        = ( vquestion @ ( sk__7 @ X0 ) @ ( sk__8 @ X0 ) @ ( sk__9 @ X0 ) ) )
      | ( X0
        = ( vask @ ( sk_ @ X0 ) ) )
      | ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18438]) ).

thf(zip_derived_cl605_005,plain,
    vptcheck @ ( vMC @ ( vtypeAM @ sk__315 ) @ ( vtypeQM @ sk__311 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ sk__312 @ sk__313 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Progress-qsingle-question',axiom,
    ! [Vqm: vQMap,Vt: vAType,Vatm2: vATMap,Vqtm2: vATMap,Vl: vLabel,Vam: vAnsMap,Vqid: vQID] :
      ( ( ~ ( visValue @ ( vqsingle @ ( vquestion @ Vqid @ Vl @ Vt ) ) )
        & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ ( vquestion @ Vqid @ Vl @ Vt ) ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
     => ? [Vam00000: vAnsMap,Vqm00000: vQMap,Vq00000: vQuestionnaire] :
          ( ( vreduce @ ( vqsingle @ ( vquestion @ Vqid @ Vl @ Vt ) ) @ Vam @ Vqm )
          = ( vsomeQConf @ ( vQC @ Vam00000 @ Vqm00000 @ Vq00000 ) ) ) ) ).

thf(zip_derived_cl600,plain,
    ! [X0: vQID,X1: vAnsMap,X2: vLabel,X3: vAType,X4: vQMap,X5: vATMap,X6: vATMap] :
      ( ( ( vreduce @ ( vqsingle @ ( vquestion @ X0 @ X2 @ X3 ) ) @ X1 @ X4 )
        = ( vsomeQConf @ ( vQC @ ( sk__299 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__300 @ X0 @ X1 @ X2 @ X3 @ X4 ) @ ( sk__301 @ X0 @ X1 @ X2 @ X3 @ X4 ) ) ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X4 ) ) @ ( vqsingle @ ( vquestion @ X0 @ X2 @ X3 ) ) @ ( vMC @ X5 @ X6 ) )
      | ( visValue @ ( vqsingle @ ( vquestion @ X0 @ X2 @ X3 ) ) ) ),
    inference(cnf,[status(esa)],[Progress-qsingle-question]) ).

thf(zip_derived_cl606_006,plain,
    ~ ( visValue @ ( vqsingle @ sk__314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2155,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vAType,X3: vLabel,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vquestion @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ ( vquestion @ X4 @ X3 @ X2 ) ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ ( vquestion @ X4 @ X3 @ X2 ) ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__299 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__300 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__301 @ X4 @ X1 @ X3 @ X2 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl600,zip_derived_cl606]) ).

thf(zip_derived_cl18105,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vAType,X3: vLabel,X4: vQID,X5: vATMap,X6: vATMap] :
      ( ( ( vqsingle @ ( vquestion @ X4 @ X3 @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ X6 @ X5 ) )
      | ( ( vreduce @ ( vqsingle @ sk__314 ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__299 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__300 @ X4 @ X1 @ X3 @ X2 @ X0 ) @ ( sk__301 @ X4 @ X1 @ X3 @ X2 @ X0 ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2155]) ).

thf(zip_derived_cl18106,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
        = ( vsomeQConf @ ( vQC @ ( sk__299 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__300 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__301 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vquestion @ X2 @ X1 @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl18105]) ).

thf(zip_derived_cl11228_007,plain,
    ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
    = vnoQConf ),
    inference(eq_res,[status(thm)],[zip_derived_cl11226]) ).

thf(zip_derived_cl18117,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( vnoQConf
        = ( vsomeQConf @ ( vQC @ ( sk__299 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__300 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) @ ( sk__301 @ X2 @ sk__315 @ X1 @ X0 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vquestion @ X2 @ X1 @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18106,zip_derived_cl11228]) ).

thf(zip_derived_cl52_008,plain,
    ! [X0: vQConf] :
      ( vnoQConf
     != ( vsomeQConf @ X0 ) ),
    inference(cnf,[status(esa)],[DIFF-noQConf-someQConf]) ).

thf(zip_derived_cl18118,plain,
    ! [X0: vAType,X1: vLabel,X2: vQID] :
      ( ( vqsingle @ ( vquestion @ X2 @ X1 @ X0 ) )
     != ( vqsingle @ sk__314 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18117,zip_derived_cl52]) ).

thf(zip_derived_cl18749,plain,
    ! [X0: vEntry] :
      ( ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) )
      | ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) )
      | ( X0
        = ( vask @ ( sk_ @ X0 ) ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18439,zip_derived_cl18118]) ).

thf(zip_derived_cl18750,plain,
    ! [X0: vEntry] :
      ( ( X0
        = ( vask @ ( sk_ @ X0 ) ) )
      | ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18749]) ).

thf(zip_derived_cl605_009,plain,
    vptcheck @ ( vMC @ ( vtypeAM @ sk__315 ) @ ( vtypeQM @ sk__311 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ sk__312 @ sk__313 ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf('Progress-qsingle-ask',axiom,
    ! [Vqm: vQMap,Vatm2: vATMap,Vqtm2: vATMap,Vam: vAnsMap,Vqid: vQID] :
      ( ( ~ ( visValue @ ( vqsingle @ ( vask @ Vqid ) ) )
        & ( vptcheck @ ( vMC @ ( vtypeAM @ Vam ) @ ( vtypeQM @ Vqm ) ) @ ( vqsingle @ ( vask @ Vqid ) ) @ ( vMC @ Vatm2 @ Vqtm2 ) ) )
     => ? [Vam00000: vAnsMap,Vqm00000: vQMap,Vq00000: vQuestionnaire] :
          ( ( vreduce @ ( vqsingle @ ( vask @ Vqid ) ) @ Vam @ Vqm )
          = ( vsomeQConf @ ( vQC @ Vam00000 @ Vqm00000 @ Vq00000 ) ) ) ) ).

thf(zip_derived_cl603,plain,
    ! [X0: vQID,X1: vAnsMap,X2: vQMap,X3: vATMap,X4: vATMap] :
      ( ( ( vreduce @ ( vqsingle @ ( vask @ X0 ) ) @ X1 @ X2 )
        = ( vsomeQConf @ ( vQC @ ( sk__308 @ X0 @ X1 @ X2 ) @ ( sk__309 @ X0 @ X1 @ X2 ) @ ( sk__310 @ X0 @ X1 @ X2 ) ) ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X2 ) ) @ ( vqsingle @ ( vask @ X0 ) ) @ ( vMC @ X3 @ X4 ) )
      | ( visValue @ ( vqsingle @ ( vask @ X0 ) ) ) ),
    inference(cnf,[status(esa)],[Progress-qsingle-ask]) ).

thf(zip_derived_cl606_010,plain,
    ~ ( visValue @ ( vqsingle @ sk__314 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl2170,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vQID,X3: vATMap,X4: vATMap] :
      ( ( ( vqsingle @ ( vask @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ ( vask @ X2 ) ) @ ( vMC @ X4 @ X3 ) )
      | ( ( vreduce @ ( vqsingle @ ( vask @ X2 ) ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__308 @ X2 @ X1 @ X0 ) @ ( sk__309 @ X2 @ X1 @ X0 ) @ ( sk__310 @ X2 @ X1 @ X0 ) ) ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl603,zip_derived_cl606]) ).

thf(zip_derived_cl18558,plain,
    ! [X0: vQMap,X1: vAnsMap,X2: vQID,X3: vATMap,X4: vATMap] :
      ( ( ( vqsingle @ ( vask @ X2 ) )
       != ( vqsingle @ sk__314 ) )
      | ~ ( vptcheck @ ( vMC @ ( vtypeAM @ X1 ) @ ( vtypeQM @ X0 ) ) @ ( vqsingle @ sk__314 ) @ ( vMC @ X4 @ X3 ) )
      | ( ( vreduce @ ( vqsingle @ sk__314 ) @ X1 @ X0 )
        = ( vsomeQConf @ ( vQC @ ( sk__308 @ X2 @ X1 @ X0 ) @ ( sk__309 @ X2 @ X1 @ X0 ) @ ( sk__310 @ X2 @ X1 @ X0 ) ) ) ) ),
    inference(local_rewriting,[status(thm)],[zip_derived_cl2170]) ).

thf(zip_derived_cl18559,plain,
    ! [X0: vQID] :
      ( ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
        = ( vsomeQConf @ ( vQC @ ( sk__308 @ X0 @ sk__315 @ sk__311 ) @ ( sk__309 @ X0 @ sk__315 @ sk__311 ) @ ( sk__310 @ X0 @ sk__315 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vask @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl605,zip_derived_cl18558]) ).

thf(zip_derived_cl11228_011,plain,
    ( ( vreduce @ ( vqsingle @ sk__314 ) @ sk__315 @ sk__311 )
    = vnoQConf ),
    inference(eq_res,[status(thm)],[zip_derived_cl11226]) ).

thf(zip_derived_cl18570,plain,
    ! [X0: vQID] :
      ( ( vnoQConf
        = ( vsomeQConf @ ( vQC @ ( sk__308 @ X0 @ sk__315 @ sk__311 ) @ ( sk__309 @ X0 @ sk__315 @ sk__311 ) @ ( sk__310 @ X0 @ sk__315 @ sk__311 ) ) ) )
      | ( ( vqsingle @ ( vask @ X0 ) )
       != ( vqsingle @ sk__314 ) ) ),
    inference(demod,[status(thm)],[zip_derived_cl18559,zip_derived_cl11228]) ).

thf(zip_derived_cl52_012,plain,
    ! [X0: vQConf] :
      ( vnoQConf
     != ( vsomeQConf @ X0 ) ),
    inference(cnf,[status(esa)],[DIFF-noQConf-someQConf]) ).

thf(zip_derived_cl18571,plain,
    ! [X0: vQID] :
      ( ( vqsingle @ ( vask @ X0 ) )
     != ( vqsingle @ sk__314 ) ),
    inference('simplify_reflect-',[status(thm)],[zip_derived_cl18570,zip_derived_cl52]) ).

thf(zip_derived_cl18758,plain,
    ! [X0: vEntry] :
      ( ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) )
      | ( ( vqsingle @ X0 )
       != ( vqsingle @ sk__314 ) ) ),
    inference('sup-',[status(thm)],[zip_derived_cl18750,zip_derived_cl18571]) ).

thf(zip_derived_cl18776,plain,
    ! [X0: vEntry] :
      ( ( vqsingle @ X0 )
     != ( vqsingle @ sk__314 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl18758]) ).

thf(zip_derived_cl18777,plain,
    $false,
    inference(eq_res,[status(thm)],[zip_derived_cl18776]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12  % Problem  : COM266_1 : TPTP v9.3.0. Released v9.3.0.
% 0.12/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TvcA7DhBr4 true
% 0.18/0.35  % Computer : n018.cluster.edu
% 0.18/0.35  % Model    : x86_64 x86_64
% 0.18/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.35  % Memory   : 8042.1875MB
% 0.18/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.35  % CPULimit : 300
% 0.18/0.35  % WCLimit  : 300
% 0.18/0.35  % DateTime : Mon May  4 20:00:02 EDT 2026
% 0.18/0.35  % CPUTime  : 
% 0.18/0.35  % Running portfolio for 300 s
% 0.18/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.35  % Number of cores: 8
% 0.18/0.35  % Python version: Python 3.6.8
% 0.18/0.36  % Running in FO mode
% 0.55/0.65  % Total configuration time : 435
% 0.55/0.65  % Estimated wc time : 1092
% 0.55/0.65  % Estimated cpu time (7 cpus) : 156.0
% 0.57/0.71  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.57/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.57/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.57/0.76  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.57/0.78  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 33.07/5.37  % Solved by fo/fo3_bce.sh.
% 33.07/5.37  % BCE start: 607
% 33.07/5.37  % BCE eliminated: 0
% 33.07/5.37  % PE start: 607
% 33.07/5.37  logic: eq
% 33.07/5.37  % PE eliminated: -327
% 33.07/5.37  % done 1982 iterations in 4.622s
% 33.07/5.37  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 33.07/5.37  % SZS output start Refutation
% See solution above
% 33.07/5.37  
% 33.07/5.37  
% 33.07/5.37  % Terminating...
% 33.79/5.46  % Runner terminated.
% 33.79/5.47  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------