TSTP Solution File: SEU560^1 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : SEU560^1 : TPTP v8.1.2. Released v3.7.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yhAFX64GBt true

% Computer : n023.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 : Thu Aug 31 19:13:52 EDT 2023

% Result   : Theorem 0.55s 0.78s
% Output   : Refutation 0.55s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   87
% Syntax   : Number of formulae    :   93 (   9 unt;  81 typ;   0 def)
%            Number of atoms       :  268 (   9 equ;   0 cnn)
%            Maximal formula atoms :   82 (  22 avg)
%            Number of connectives :  302 (   2   ~;   0   |;   0   &;  54   @)
%                                         (   0 <=>; 246  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   85 (  22 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   83 (  81 usr;  80 con; 0-2 aty)
%            Number of variables   :   31 (   6   ^;  25   !;   0   ?;  31   :)

% Comments : 
%------------------------------------------------------------------------------
thf(setadjoinAx_type,type,
    setadjoinAx: $o ).

thf(notdexE_type,type,
    notdexE: $o ).

thf(setunionAx_type,type,
    setunionAx: $o ).

thf(powersetE_type,type,
    powersetE: $o ).

thf(omegaSAx_type,type,
    omegaSAx: $o ).

thf(exuI1_type,type,
    exuI1: $o ).

thf(exuI2_type,type,
    exuI2: $o ).

thf(sk__5_type,type,
    sk__5: $i ).

thf(powerset__Cong_type,type,
    powerset__Cong: $o ).

thf(wellorderingAx_type,type,
    wellorderingAx: $o ).

thf(setoftrueEq_type,type,
    setoftrueEq: $o ).

thf(emptyset__Cong_type,type,
    emptyset__Cong: $o ).

thf(setext_type,type,
    setext: $o ).

thf(emptyinPowerset_type,type,
    emptyinPowerset: $o ).

thf(descr__Cong_type,type,
    descr__Cong: $o ).

thf(in_type,type,
    in: $i > $i > $o ).

thf(quantDeMorgan1_type,type,
    quantDeMorgan1: $o ).

thf(setadjoinIR_type,type,
    setadjoinIR: $o ).

thf(setadjoin__Cong_type,type,
    setadjoin__Cong: $o ).

thf(prop2set2propI_type,type,
    prop2set2propI: $o ).

thf(dsetconstrEL_type,type,
    dsetconstrEL: $o ).

thf(setbeta_type,type,
    setbeta: $o ).

thf(eqinunit_type,type,
    eqinunit: $o ).

thf(upairsetIL_type,type,
    upairsetIL: $o ).

thf(powersetAx_type,type,
    powersetAx: $o ).

thf(powersetI_type,type,
    powersetI: $o ).

thf(upairsetIR_type,type,
    upairsetIR: $o ).

thf(inCongP_type,type,
    inCongP: $o ).

thf(exuE3e_type,type,
    exuE3e: $o ).

thf(emptysetE_type,type,
    emptysetE: $o ).

thf(setunionI_type,type,
    setunionI: $o ).

thf(sk__6_type,type,
    sk__6: $i ).

thf(setunion__Cong_type,type,
    setunion__Cong: $o ).

thf(prop2setI_type,type,
    prop2setI: $o ).

thf(nonemptyImpWitness_type,type,
    nonemptyImpWitness: $o ).

thf(exuE2_type,type,
    exuE2: $o ).

thf(subPowSU_type,type,
    subPowSU: $o ).

thf(notinemptyset_type,type,
    notinemptyset: $o ).

thf(nonemptyI1_type,type,
    nonemptyI1: $o ).

thf(singletonsswitch_type,type,
    singletonsswitch: $o ).

thf(quantDeMorgan3_type,type,
    quantDeMorgan3: $o ).

thf(setunionE_type,type,
    setunionE: $o ).

thf(emptyinunitempty_type,type,
    emptyinunitempty: $o ).

thf(setadjoinE_type,type,
    setadjoinE: $o ).

thf(setadjoinIL_type,type,
    setadjoinIL: $o ).

thf(exuE1_type,type,
    exuE1: $o ).

thf(subsetI1_type,type,
    subsetI1: $o ).

thf(notinsingleton_type,type,
    notinsingleton: $o ).

thf(exuEu_type,type,
    exuEu: $o ).

thf(emptysetimpfalse_type,type,
    emptysetimpfalse: $o ).

thf(upairsetE_type,type,
    upairsetE: $o ).

thf(omega0Ax_type,type,
    omega0Ax: $o ).

thf(quantDeMorgan4_type,type,
    quantDeMorgan4: $o ).

thf(setextAx_type,type,
    setextAx: $o ).

thf(noeltsimpempty_type,type,
    noeltsimpempty: $o ).

thf(descrp_type,type,
    descrp: $o ).

thf(dsetconstr__Cong_type,type,
    dsetconstr__Cong: $o ).

thf(foundationAx_type,type,
    foundationAx: $o ).

thf(emptysetAx_type,type,
    emptysetAx: $o ).

thf(emptyI_type,type,
    emptyI: $o ).

thf(setadjoinOr_type,type,
    setadjoinOr: $o ).

thf(emptyE1_type,type,
    emptyE1: $o ).

thf(emptyInPowerset_type,type,
    emptyInPowerset: $o ).

thf(vacuousDall_type,type,
    vacuousDall: $o ).

thf(dsetconstrER_type,type,
    dsetconstrER: $o ).

thf(sk__7_type,type,
    sk__7: $i ).

thf(omega__Cong_type,type,
    omega__Cong: $o ).

thf(uniqinunit_type,type,
    uniqinunit: $o ).

thf(prop2setE_type,type,
    prop2setE: $o ).

thf(nonemptyI_type,type,
    nonemptyI: $o ).

thf(exuE3u_type,type,
    exuE3u: $o ).

thf(exuI3_type,type,
    exuI3: $o ).

thf(notdallE_type,type,
    notdallE: $o ).

thf(dsetconstrI_type,type,
    dsetconstrI: $o ).

thf(exu__Cong_type,type,
    exu__Cong: $o ).

thf(quantDeMorgan2_type,type,
    quantDeMorgan2: $o ).

thf(replAx_type,type,
    replAx: $o ).

thf(nonemptyE1_type,type,
    nonemptyE1: $o ).

thf(omegaIndAx_type,type,
    omegaIndAx: $o ).

thf(subset_type,type,
    subset: $i > $i > $o ).

thf(in__Cong_type,type,
    in__Cong: $o ).

thf(subsetI1,axiom,
    ( subsetI1
    = ( ! [A: $i,B: $i] :
          ( ! [Xx: $i] :
              ( ( in @ Xx @ A )
             => ( in @ Xx @ B ) )
         => ( subset @ A @ B ) ) ) ) ).

thf('0',plain,
    ( subsetI1
    = ( ! [X4: $i,X6: $i] :
          ( ! [X8: $i] :
              ( ( in @ X8 @ X4 )
             => ( in @ X8 @ X6 ) )
         => ( subset @ X4 @ X6 ) ) ) ),
    define([status(thm)]) ).

thf(subset,axiom,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ) ).

thf('1',plain,
    ( subset
    = ( ^ [A: $i,B: $i] :
        ! [Xx: $i] :
          ( ( in @ Xx @ A )
         => ( in @ Xx @ B ) ) ) ),
    inference(simplify_rw_rule,[status(thm)],[subset]) ).

thf('2',plain,
    ( subset
    = ( ^ [V_1: $i,V_2: $i] :
        ! [X4: $i] :
          ( ( in @ X4 @ V_1 )
         => ( in @ X4 @ V_2 ) ) ) ),
    define([status(thm)]) ).

thf(eqimpsubset2,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( subsetI1
                                                                                                                                                         => ! [A: $i,B: $i] :
                                                                                                                                                              ( ( A = B )
                                                                                                                                                             => ( subset @ B @ A ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_0,conjecture,
    ( setextAx
   => ( emptysetAx
     => ( setadjoinAx
       => ( powersetAx
         => ( setunionAx
           => ( omega0Ax
             => ( omegaSAx
               => ( omegaIndAx
                 => ( replAx
                   => ( foundationAx
                     => ( wellorderingAx
                       => ( descrp
                         => ( dsetconstrI
                           => ( dsetconstrEL
                             => ( dsetconstrER
                               => ( exuE1
                                 => ( prop2setE
                                   => ( emptysetE
                                     => ( emptysetimpfalse
                                       => ( notinemptyset
                                         => ( exuE3e
                                           => ( setext
                                             => ( emptyI
                                               => ( noeltsimpempty
                                                 => ( setbeta
                                                   => ( nonemptyE1
                                                     => ( nonemptyI
                                                       => ( nonemptyI1
                                                         => ( setadjoinIL
                                                           => ( emptyinunitempty
                                                             => ( setadjoinIR
                                                               => ( setadjoinE
                                                                 => ( setadjoinOr
                                                                   => ( setoftrueEq
                                                                     => ( powersetI
                                                                       => ( emptyinPowerset
                                                                         => ( emptyInPowerset
                                                                           => ( powersetE
                                                                             => ( setunionI
                                                                               => ( setunionE
                                                                                 => ( subPowSU
                                                                                   => ( exuE2
                                                                                     => ( nonemptyImpWitness
                                                                                       => ( uniqinunit
                                                                                         => ( notinsingleton
                                                                                           => ( eqinunit
                                                                                             => ( singletonsswitch
                                                                                               => ( upairsetE
                                                                                                 => ( upairsetIL
                                                                                                   => ( upairsetIR
                                                                                                     => ( emptyE1
                                                                                                       => ( vacuousDall
                                                                                                         => ( quantDeMorgan1
                                                                                                           => ( quantDeMorgan2
                                                                                                             => ( quantDeMorgan3
                                                                                                               => ( quantDeMorgan4
                                                                                                                 => ( prop2setI
                                                                                                                   => ( prop2set2propI
                                                                                                                     => ( notdexE
                                                                                                                       => ( notdallE
                                                                                                                         => ( exuI1
                                                                                                                           => ( exuI3
                                                                                                                             => ( exuI2
                                                                                                                               => ( inCongP
                                                                                                                                 => ( in__Cong
                                                                                                                                   => ( exuE3u
                                                                                                                                     => ( exu__Cong
                                                                                                                                       => ( emptyset__Cong
                                                                                                                                         => ( setadjoin__Cong
                                                                                                                                           => ( powerset__Cong
                                                                                                                                             => ( setunion__Cong
                                                                                                                                               => ( omega__Cong
                                                                                                                                                 => ( exuEu
                                                                                                                                                   => ( descr__Cong
                                                                                                                                                     => ( dsetconstr__Cong
                                                                                                                                                       => ( ! [X4: $i,X6: $i] :
                                                                                                                                                              ( ! [X8: $i] :
                                                                                                                                                                  ( ( in @ X8 @ X4 )
                                                                                                                                                                 => ( in @ X8 @ X6 ) )
                                                                                                                                                             => ! [X10: $i] :
                                                                                                                                                                  ( ( in @ X10 @ X4 )
                                                                                                                                                                 => ( in @ X10 @ X6 ) ) )
                                                                                                                                                         => ! [X12: $i,X14: $i] :
                                                                                                                                                              ( ( X12 = X14 )
                                                                                                                                                             => ! [X16: $i] :
                                                                                                                                                                  ( ( in @ X16 @ X14 )
                                                                                                                                                                 => ( in @ X16 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ).

thf(zf_stmt_1,negated_conjecture,
    ~ ( setextAx
     => ( emptysetAx
       => ( setadjoinAx
         => ( powersetAx
           => ( setunionAx
             => ( omega0Ax
               => ( omegaSAx
                 => ( omegaIndAx
                   => ( replAx
                     => ( foundationAx
                       => ( wellorderingAx
                         => ( descrp
                           => ( dsetconstrI
                             => ( dsetconstrEL
                               => ( dsetconstrER
                                 => ( exuE1
                                   => ( prop2setE
                                     => ( emptysetE
                                       => ( emptysetimpfalse
                                         => ( notinemptyset
                                           => ( exuE3e
                                             => ( setext
                                               => ( emptyI
                                                 => ( noeltsimpempty
                                                   => ( setbeta
                                                     => ( nonemptyE1
                                                       => ( nonemptyI
                                                         => ( nonemptyI1
                                                           => ( setadjoinIL
                                                             => ( emptyinunitempty
                                                               => ( setadjoinIR
                                                                 => ( setadjoinE
                                                                   => ( setadjoinOr
                                                                     => ( setoftrueEq
                                                                       => ( powersetI
                                                                         => ( emptyinPowerset
                                                                           => ( emptyInPowerset
                                                                             => ( powersetE
                                                                               => ( setunionI
                                                                                 => ( setunionE
                                                                                   => ( subPowSU
                                                                                     => ( exuE2
                                                                                       => ( nonemptyImpWitness
                                                                                         => ( uniqinunit
                                                                                           => ( notinsingleton
                                                                                             => ( eqinunit
                                                                                               => ( singletonsswitch
                                                                                                 => ( upairsetE
                                                                                                   => ( upairsetIL
                                                                                                     => ( upairsetIR
                                                                                                       => ( emptyE1
                                                                                                         => ( vacuousDall
                                                                                                           => ( quantDeMorgan1
                                                                                                             => ( quantDeMorgan2
                                                                                                               => ( quantDeMorgan3
                                                                                                                 => ( quantDeMorgan4
                                                                                                                   => ( prop2setI
                                                                                                                     => ( prop2set2propI
                                                                                                                       => ( notdexE
                                                                                                                         => ( notdallE
                                                                                                                           => ( exuI1
                                                                                                                             => ( exuI3
                                                                                                                               => ( exuI2
                                                                                                                                 => ( inCongP
                                                                                                                                   => ( in__Cong
                                                                                                                                     => ( exuE3u
                                                                                                                                       => ( exu__Cong
                                                                                                                                         => ( emptyset__Cong
                                                                                                                                           => ( setadjoin__Cong
                                                                                                                                             => ( powerset__Cong
                                                                                                                                               => ( setunion__Cong
                                                                                                                                                 => ( omega__Cong
                                                                                                                                                   => ( exuEu
                                                                                                                                                     => ( descr__Cong
                                                                                                                                                       => ( dsetconstr__Cong
                                                                                                                                                         => ( ! [X4: $i,X6: $i] :
                                                                                                                                                                ( ! [X8: $i] :
                                                                                                                                                                    ( ( in @ X8 @ X4 )
                                                                                                                                                                   => ( in @ X8 @ X6 ) )
                                                                                                                                                               => ! [X10: $i] :
                                                                                                                                                                    ( ( in @ X10 @ X4 )
                                                                                                                                                                   => ( in @ X10 @ X6 ) ) )
                                                                                                                                                           => ! [X12: $i,X14: $i] :
                                                                                                                                                                ( ( X12 = X14 )
                                                                                                                                                               => ! [X16: $i] :
                                                                                                                                                                    ( ( in @ X16 @ X14 )
                                                                                                                                                                   => ( in @ X16 @ X12 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference('cnf.neg',[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl38,plain,
    in @ sk__7 @ sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl40,plain,
    sk__5 = sk__6,
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl39,plain,
    ~ ( in @ sk__7 @ sk__5 ),
    inference(cnf,[status(esa)],[zf_stmt_1]) ).

thf(zip_derived_cl80,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl38,zip_derived_cl40,zip_derived_cl39]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SEU560^1 : TPTP v8.1.2. Released v3.7.0.
% 0.03/0.13  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.yhAFX64GBt true
% 0.12/0.34  % Computer : n023.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 300
% 0.12/0.34  % DateTime : Thu Aug 24 00:58:42 EDT 2023
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  % Running portfolio for 300 s
% 0.12/0.34  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.34  % Number of cores: 8
% 0.12/0.34  % Python version: Python 3.6.8
% 0.12/0.35  % Running in HO mode
% 0.54/0.65  % Total configuration time : 828
% 0.54/0.65  % Estimated wc time : 1656
% 0.54/0.65  % Estimated cpu time (8 cpus) : 207.0
% 0.54/0.71  % /export/starexec/sandbox2/solver/bin/lams/40_c.s.sh running for 80s
% 0.54/0.73  % /export/starexec/sandbox2/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_c_ic.sh running for 80s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/15_e_short1.sh running for 30s
% 0.54/0.74  % /export/starexec/sandbox2/solver/bin/lams/40_b.comb.sh running for 70s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.54/0.75  % /export/starexec/sandbox2/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.77  % /export/starexec/sandbox2/solver/bin/lams/30_sp5.sh running for 60s
% 0.55/0.78  % Solved by lams/40_c_ic.sh.
% 0.55/0.78  % done 77 iterations in 0.022s
% 0.55/0.78  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.55/0.78  % SZS output start Refutation
% See solution above
% 0.55/0.79  
% 0.55/0.79  
% 0.55/0.79  % Terminating...
% 1.55/0.87  % Runner terminated.
% 1.55/0.88  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------