%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : SEU554^1 : TPTP v9.2.0. Bugfixed v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vPDIdyDoOo true
% Computer : n027.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 Oct 2 04:55:02 PM UTC 2025
% Result : Theorem 0.56s 0.90s
% Output : Refutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SEU554^1 : TPTP v9.2.0. Bugfixed v4.0.0.
% 0.09/0.15 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.vPDIdyDoOo true
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.36 % CPULimit : 300
% 0.13/0.36 % WCLimit : 300
% 0.13/0.36 % DateTime : Wed Oct 1 16:15:38 EDT 2025
% 0.13/0.36 % CPUTime :
% 0.13/0.36 % Running portfolio for 300 s
% 0.13/0.36 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36 % Number of cores: 8
% 0.13/0.36 % Python version: Python 3.6.8
% 0.13/0.36 % Running in HO mode
% 0.55/0.69 % Total configuration time : 828
% 0.55/0.69 % Estimated wc time : 1656
% 0.55/0.69 % Estimated cpu time (8 cpus) : 207.0
% 0.55/0.78 % /export/starexec/sandbox/solver/bin/lams/40_c.s.sh running for 80s
% 0.55/0.80 % /export/starexec/sandbox/solver/bin/lams/35_full_unif4.sh running for 80s
% 0.55/0.80 % /export/starexec/sandbox/solver/bin/lams/40_c_ic.sh running for 80s
% 0.55/0.80 % /export/starexec/sandbox/solver/bin/lams/15_e_short1.sh running for 30s
% 0.55/0.81 % /export/starexec/sandbox/solver/bin/lams/40_b.comb.sh running for 70s
% 0.55/0.81 % /export/starexec/sandbox/solver/bin/lams/40_noforms.sh running for 90s
% 0.55/0.82 % /export/starexec/sandbox/solver/bin/lams/20_acsne_simpl.sh running for 40s
% 0.56/0.86 % /export/starexec/sandbox/solver/bin/lams/30_sp5.sh running for 60s
% 0.56/0.90 % Solved by lams/40_c_ic.sh.
% 0.56/0.90 % done 71 iterations in 0.044s
% 0.56/0.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 0.56/0.90 % SZS output start Refutation
% 0.56/0.90 thf(setadjoinAx_type, type, setadjoinAx: $o).
% 0.56/0.90 thf(notdexE_type, type, notdexE: $o).
% 0.56/0.90 thf(setunionAx_type, type, setunionAx: $o).
% 0.56/0.90 thf(powersetE_type, type, powersetE: $o).
% 0.56/0.90 thf(omegaSAx_type, type, omegaSAx: $o).
% 0.56/0.90 thf(exuI1_type, type, exuI1: $o).
% 0.56/0.90 thf(exuI2_type, type, exuI2: $o).
% 0.56/0.90 thf(powerset__Cong_type, type, powerset__Cong: $o).
% 0.56/0.90 thf(wellorderingAx_type, type, wellorderingAx: $o).
% 0.56/0.90 thf(setoftrueEq_type, type, setoftrueEq: $o).
% 0.56/0.90 thf(emptyset__Cong_type, type, emptyset__Cong: $o).
% 0.56/0.90 thf(setext_type, type, setext: $o).
% 0.56/0.90 thf(emptyinPowerset_type, type, emptyinPowerset: $o).
% 0.56/0.90 thf(in_type, type, in: $i > $i > $o).
% 0.56/0.90 thf(quantDeMorgan1_type, type, quantDeMorgan1: $o).
% 0.56/0.90 thf(setadjoinIR_type, type, setadjoinIR: $o).
% 0.56/0.90 thf(setadjoin__Cong_type, type, setadjoin__Cong: $o).
% 0.56/0.90 thf(sk__14_type, type, sk__14: $i).
% 0.56/0.90 thf(prop2set2propI_type, type, prop2set2propI: $o).
% 0.56/0.90 thf(dsetconstrEL_type, type, dsetconstrEL: $o).
% 0.56/0.90 thf(setbeta_type, type, setbeta: $o).
% 0.56/0.90 thf(eqinunit_type, type, eqinunit: $o).
% 0.56/0.90 thf(upairsetIL_type, type, upairsetIL: $o).
% 0.56/0.90 thf(zip_tseitin_0_type, type, zip_tseitin_0: $i > $i > $i > $o).
% 0.56/0.90 thf(powersetAx_type, type, powersetAx: $o).
% 0.56/0.90 thf(powersetI_type, type, powersetI: $o).
% 0.56/0.90 thf(upairsetIR_type, type, upairsetIR: $o).
% 0.56/0.90 thf(inCongP_type, type, inCongP: $o).
% 0.56/0.90 thf(exuE3e_type, type, exuE3e: $o).
% 0.56/0.90 thf(emptysetE_type, type, emptysetE: $o).
% 0.56/0.90 thf(setunionI_type, type, setunionI: $o).
% 0.56/0.90 thf(prop2setI_type, type, prop2setI: $o).
% 0.56/0.90 thf(nonemptyImpWitness_type, type, nonemptyImpWitness: $o).
% 0.56/0.90 thf(exuE2_type, type, exuE2: $o).
% 0.56/0.90 thf(sk__15_type, type, sk__15: $i).
% 0.56/0.90 thf(subPowSU_type, type, subPowSU: $o).
% 0.56/0.90 thf(notinemptyset_type, type, notinemptyset: $o).
% 0.56/0.90 thf(nonemptyI1_type, type, nonemptyI1: $o).
% 0.56/0.90 thf(singletonsswitch_type, type, singletonsswitch: $o).
% 0.56/0.90 thf(quantDeMorgan3_type, type, quantDeMorgan3: $o).
% 0.56/0.90 thf(setunionE_type, type, setunionE: $o).
% 0.56/0.90 thf(emptyinunitempty_type, type, emptyinunitempty: $o).
% 0.56/0.90 thf(setadjoinE_type, type, setadjoinE: $o).
% 0.56/0.90 thf(setadjoinIL_type, type, setadjoinIL: $o).
% 0.56/0.90 thf(exuE1_type, type, exuE1: $o).
% 0.56/0.90 thf(notinsingleton_type, type, notinsingleton: $o).
% 0.56/0.90 thf(emptysetimpfalse_type, type, emptysetimpfalse: $o).
% 0.56/0.90 thf(upairsetE_type, type, upairsetE: $o).
% 0.56/0.90 thf(omega0Ax_type, type, omega0Ax: $o).
% 0.56/0.90 thf(quantDeMorgan4_type, type, quantDeMorgan4: $o).
% 0.56/0.90 thf(setextAx_type, type, setextAx: $o).
% 0.56/0.90 thf(noeltsimpempty_type, type, noeltsimpempty: $o).
% 0.56/0.90 thf(setunion_type, type, setunion: $i > $i).
% 0.56/0.90 thf(descrp_type, type, descrp: $o).
% 0.56/0.90 thf(foundationAx_type, type, foundationAx: $o).
% 0.56/0.90 thf(emptysetAx_type, type, emptysetAx: $o).
% 0.56/0.90 thf(emptyI_type, type, emptyI: $o).
% 0.56/0.90 thf(setadjoinOr_type, type, setadjoinOr: $o).
% 0.56/0.90 thf(emptyE1_type, type, emptyE1: $o).
% 0.56/0.90 thf(emptyInPowerset_type, type, emptyInPowerset: $o).
% 0.56/0.90 thf(vacuousDall_type, type, vacuousDall: $o).
% 0.56/0.90 thf(dsetconstrER_type, type, dsetconstrER: $o).
% 0.56/0.90 thf(uniqinunit_type, type, uniqinunit: $o).
% 0.56/0.90 thf(prop2setE_type, type, prop2setE: $o).
% 0.56/0.90 thf(nonemptyI_type, type, nonemptyI: $o).
% 0.56/0.90 thf(exuE3u_type, type, exuE3u: $o).
% 0.56/0.90 thf(exuI3_type, type, exuI3: $o).
% 0.56/0.90 thf(notdallE_type, type, notdallE: $o).
% 0.56/0.90 thf(powerset_type, type, powerset: $i > $i).
% 0.56/0.90 thf(dsetconstrI_type, type, dsetconstrI: $o).
% 0.56/0.90 thf(exu__Cong_type, type, exu__Cong: $o).
% 0.56/0.90 thf(quantDeMorgan2_type, type, quantDeMorgan2: $o).
% 0.56/0.90 thf(replAx_type, type, replAx: $o).
% 0.56/0.90 thf(nonemptyE1_type, type, nonemptyE1: $o).
% 0.56/0.90 thf(omegaIndAx_type, type, omegaIndAx: $o).
% 0.56/0.90 thf(in__Cong_type, type, in__Cong: $o).
% 0.56/0.90 thf(subPowSU, axiom, subPowSU =
% 0.56/0.90 (![A:$i,Xx:$i]:
% 0.56/0.90 ( ( in @ Xx @ A ) => ( in @ Xx @ ( powerset @ ( setunion @ A ) ) ) ))).
% 0.56/0.90 thf('0', plain,
% 0.56/0.90 (( subPowSU ) =
% 0.56/0.90 ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ X4 ) => ( in @ X6 @ ( powerset @ ( setunion @ X4 ) ) ) ) )),
% 0.56/0.90 define([status(thm)])).
% 0.56/0.90 thf(setunionE, axiom, setunionE =
% 0.56/0.90 (![A:$i,Xx:$i]:
% 0.56/0.90 ( ( in @ Xx @ ( setunion @ A ) ) =>
% 0.56/0.90 ( ![Xphi:$o]:
% 0.56/0.90 ( ( ![B:$i]: ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( Xphi ) ) ) ) =>
% 0.56/0.90 ( Xphi ) ) ) ))).
% 0.56/0.90 thf('1', plain,
% 0.56/0.90 (( setunionE ) =
% 0.56/0.90 ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ ( setunion @ X4 ) ) =>
% 0.56/0.90 ( ![X8:$o]:
% 0.56/0.90 ( ( ![X10:$i]:
% 0.56/0.90 ( ( in @ X6 @ X10 ) => ( ( in @ X10 @ X4 ) => ( X8 ) ) ) ) =>
% 0.56/0.90 ( X8 ) ) ) ) )),
% 0.56/0.90 define([status(thm)])).
% 0.56/0.90 thf(setunionI, axiom, setunionI =
% 0.56/0.90 (![A:$i,Xx:$i,B:$i]:
% 0.56/0.90 ( ( in @ Xx @ B ) => ( ( in @ B @ A ) => ( in @ Xx @ ( setunion @ A ) ) ) ))).
% 0.56/0.90 thf('2', plain,
% 0.56/0.90 (( setunionI ) =
% 0.56/0.90 ( ![X4:$i,X6:$i,X8:$i]:
% 0.56/0.90 ( ( in @ X6 @ X8 ) =>
% 0.56/0.90 ( ( in @ X8 @ X4 ) => ( in @ X6 @ ( setunion @ X4 ) ) ) ) )),
% 0.56/0.90 define([status(thm)])).
% 0.56/0.90 thf(setunionAx, axiom, setunionAx =
% 0.56/0.90 (![A:$i,Xx:$i]:
% 0.56/0.90 ( ( in @ Xx @ ( setunion @ A ) ) <=>
% 0.56/0.90 ( ?[B:$i]: ( ( in @ B @ A ) & ( in @ Xx @ B ) ) ) ))).
% 0.56/0.90 thf('3', plain,
% 0.56/0.90 (( setunionAx ) =
% 0.56/0.90 ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.56/0.90 ( ?[X8:$i]: ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ) ) )),
% 0.56/0.90 define([status(thm)])).
% 0.56/0.90 thf(setunion__Cong, conjecture,
% 0.56/0.90 (( setextAx ) =>
% 0.56/0.90 ( ( emptysetAx ) =>
% 0.56/0.90 ( ( setadjoinAx ) =>
% 0.56/0.90 ( ( powersetAx ) =>
% 0.56/0.90 ( ( setunionAx ) =>
% 0.56/0.90 ( ( omega0Ax ) =>
% 0.56/0.90 ( ( omegaSAx ) =>
% 0.56/0.90 ( ( omegaIndAx ) =>
% 0.56/0.90 ( ( replAx ) =>
% 0.56/0.90 ( ( foundationAx ) =>
% 0.56/0.90 ( ( wellorderingAx ) =>
% 0.56/0.90 ( ( descrp ) =>
% 0.56/0.90 ( ( dsetconstrI ) =>
% 0.56/0.90 ( ( dsetconstrEL ) =>
% 0.56/0.90 ( ( dsetconstrER ) =>
% 0.56/0.90 ( ( exuE1 ) =>
% 0.56/0.90 ( ( prop2setE ) =>
% 0.56/0.90 ( ( emptysetE ) =>
% 0.56/0.90 ( ( emptysetimpfalse ) =>
% 0.56/0.90 ( ( notinemptyset ) =>
% 0.56/0.90 ( ( exuE3e ) =>
% 0.56/0.90 ( ( setext ) =>
% 0.56/0.90 ( ( emptyI ) =>
% 0.56/0.90 ( ( noeltsimpempty ) =>
% 0.56/0.90 ( ( setbeta ) =>
% 0.56/0.90 ( ( nonemptyE1 ) =>
% 0.56/0.90 ( ( nonemptyI ) =>
% 0.56/0.90 ( ( nonemptyI1 ) =>
% 0.56/0.90 ( ( setadjoinIL ) =>
% 0.56/0.90 ( ( emptyinunitempty ) =>
% 0.56/0.90 ( ( setadjoinIR ) =>
% 0.56/0.90 ( ( setadjoinE ) =>
% 0.56/0.90 ( (
% 0.56/0.90 setadjoinOr ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setoftrueEq ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyinPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyInPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunionI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunionE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 subPowSU ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 nonemptyImpWitness ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 uniqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notinsingleton ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 eqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 singletonsswitch ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIL ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIR ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyE1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 vacuousDall ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan4 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2setI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2set2propI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdexE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdallE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 inCongP ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE3u ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exu__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setadjoin__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powerset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 A:$i,B:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 A ) =
% 0.56/0.90 (
% 0.56/0.90 B ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 A ) =
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 B ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_0, conjecture,
% 0.56/0.90 (( setextAx ) =>
% 0.56/0.90 ( ( emptysetAx ) =>
% 0.56/0.90 ( ( setadjoinAx ) =>
% 0.56/0.90 ( ( powersetAx ) =>
% 0.56/0.90 ( ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.56/0.90 ( ?[X8:$i]: ( ( in @ X6 @ X8 ) & ( in @ X8 @ X4 ) ) ) ) ) =>
% 0.56/0.90 ( ( omega0Ax ) =>
% 0.56/0.90 ( ( omegaSAx ) =>
% 0.56/0.90 ( ( omegaIndAx ) =>
% 0.56/0.90 ( ( replAx ) =>
% 0.56/0.90 ( ( foundationAx ) =>
% 0.56/0.90 ( ( wellorderingAx ) =>
% 0.56/0.90 ( ( descrp ) =>
% 0.56/0.90 ( ( dsetconstrI ) =>
% 0.56/0.90 ( ( dsetconstrEL ) =>
% 0.56/0.90 ( ( dsetconstrER ) =>
% 0.56/0.90 ( ( exuE1 ) =>
% 0.56/0.90 ( ( prop2setE ) =>
% 0.56/0.90 ( ( emptysetE ) =>
% 0.56/0.90 ( ( emptysetimpfalse ) =>
% 0.56/0.90 ( ( notinemptyset ) =>
% 0.56/0.90 ( ( exuE3e ) =>
% 0.56/0.90 ( ( setext ) =>
% 0.56/0.90 ( ( emptyI ) =>
% 0.56/0.90 ( ( noeltsimpempty ) =>
% 0.56/0.90 ( ( setbeta ) =>
% 0.56/0.90 ( ( nonemptyE1 ) =>
% 0.56/0.90 ( ( nonemptyI ) =>
% 0.56/0.90 ( ( nonemptyI1 ) =>
% 0.56/0.90 ( ( setadjoinIL ) =>
% 0.56/0.90 ( ( emptyinunitempty ) =>
% 0.56/0.90 ( ( setadjoinIR ) =>
% 0.56/0.90 ( ( setadjoinE ) =>
% 0.56/0.90 ( (
% 0.56/0.90 setadjoinOr ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setoftrueEq ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyinPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyInPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X10:$i,
% 0.56/0.90 X12:$i,
% 0.56/0.90 X14:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @ X14 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X14 @ X10 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X10 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X16:$i,
% 0.56/0.90 X18:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X16 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X20:$o]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X22:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @ X22 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X22 @ X16 ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X24:$i,
% 0.56/0.90 X26:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @ X24 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @
% 0.56/0.90 (
% 0.56/0.90 powerset @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X24 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 nonemptyImpWitness ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 uniqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notinsingleton ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 eqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 singletonsswitch ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIL ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIR ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyE1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 vacuousDall ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan4 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2setI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2set2propI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdexE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdallE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 inCongP ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE3u ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exu__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setadjoin__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powerset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X28:$i,
% 0.56/0.90 X30:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 X30 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_1, type, zip_tseitin_0 : $i > $i > $i > $o).
% 0.56/0.90 thf(zf_stmt_2, axiom,
% 0.56/0.90 (![X8:$i,X6:$i,X4:$i]:
% 0.56/0.90 ( ( zip_tseitin_0 @ X8 @ X6 @ X4 ) <=>
% 0.56/0.90 ( ( in @ X8 @ X4 ) & ( in @ X6 @ X8 ) ) ))).
% 0.56/0.90 thf(zf_stmt_3, conjecture,
% 0.56/0.90 (( setextAx ) =>
% 0.56/0.90 ( ( emptysetAx ) =>
% 0.56/0.90 ( ( setadjoinAx ) =>
% 0.56/0.90 ( ( powersetAx ) =>
% 0.56/0.90 ( ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.56/0.90 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.56/0.90 ( ( omega0Ax ) =>
% 0.56/0.90 ( ( omegaSAx ) =>
% 0.56/0.90 ( ( omegaIndAx ) =>
% 0.56/0.90 ( ( replAx ) =>
% 0.56/0.90 ( ( foundationAx ) =>
% 0.56/0.90 ( ( wellorderingAx ) =>
% 0.56/0.90 ( ( descrp ) =>
% 0.56/0.90 ( ( dsetconstrI ) =>
% 0.56/0.90 ( ( dsetconstrEL ) =>
% 0.56/0.90 ( ( dsetconstrER ) =>
% 0.56/0.90 ( ( exuE1 ) =>
% 0.56/0.90 ( ( prop2setE ) =>
% 0.56/0.90 ( ( emptysetE ) =>
% 0.56/0.90 ( ( emptysetimpfalse ) =>
% 0.56/0.90 ( ( notinemptyset ) =>
% 0.56/0.90 ( ( exuE3e ) =>
% 0.56/0.90 ( ( setext ) =>
% 0.56/0.90 ( ( emptyI ) =>
% 0.56/0.90 ( ( noeltsimpempty ) =>
% 0.56/0.90 ( ( setbeta ) =>
% 0.56/0.90 ( ( nonemptyE1 ) =>
% 0.56/0.90 ( ( nonemptyI ) =>
% 0.56/0.90 ( ( nonemptyI1 ) =>
% 0.56/0.90 ( ( setadjoinIL ) =>
% 0.56/0.90 ( ( emptyinunitempty ) =>
% 0.56/0.90 ( ( setadjoinIR ) =>
% 0.56/0.90 ( ( setadjoinE ) =>
% 0.56/0.90 ( (
% 0.56/0.90 setadjoinOr ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setoftrueEq ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyinPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyInPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X10:$i,
% 0.56/0.90 X12:$i,
% 0.56/0.90 X14:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @ X14 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X14 @ X10 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X10 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X16:$i,
% 0.56/0.90 X18:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X16 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X20:$o]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X22:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @ X22 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X22 @ X16 ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X24:$i,
% 0.56/0.90 X26:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @ X24 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @
% 0.56/0.90 (
% 0.56/0.90 powerset @
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X24 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 nonemptyImpWitness ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 uniqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notinsingleton ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 eqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 singletonsswitch ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIL ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIR ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyE1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 vacuousDall ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan4 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2setI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2set2propI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdexE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdallE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 inCongP ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE3u ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exu__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setadjoin__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powerset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X28:$i,
% 0.56/0.90 X30:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 X30 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 setunion @
% 0.56/0.90 X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ))).
% 0.56/0.90 thf(zf_stmt_4, negated_conjecture,
% 0.56/0.90 (~( ( setextAx ) =>
% 0.56/0.90 ( ( emptysetAx ) =>
% 0.56/0.90 ( ( setadjoinAx ) =>
% 0.56/0.90 ( ( powersetAx ) =>
% 0.56/0.90 ( ( ![X4:$i,X6:$i]:
% 0.56/0.90 ( ( in @ X6 @ ( setunion @ X4 ) ) <=>
% 0.56/0.90 ( ?[X8:$i]: ( zip_tseitin_0 @ X8 @ X6 @ X4 ) ) ) ) =>
% 0.56/0.90 ( ( omega0Ax ) =>
% 0.56/0.90 ( ( omegaSAx ) =>
% 0.56/0.90 ( ( omegaIndAx ) =>
% 0.56/0.90 ( ( replAx ) =>
% 0.56/0.90 ( ( foundationAx ) =>
% 0.56/0.90 ( ( wellorderingAx ) =>
% 0.56/0.90 ( ( descrp ) =>
% 0.56/0.90 ( ( dsetconstrI ) =>
% 0.56/0.90 ( ( dsetconstrEL ) =>
% 0.56/0.90 ( ( dsetconstrER ) =>
% 0.56/0.90 ( ( exuE1 ) =>
% 0.56/0.90 ( ( prop2setE ) =>
% 0.56/0.90 ( ( emptysetE ) =>
% 0.56/0.90 ( ( emptysetimpfalse ) =>
% 0.56/0.90 ( ( notinemptyset ) =>
% 0.56/0.90 ( ( exuE3e ) =>
% 0.56/0.90 ( ( setext ) =>
% 0.56/0.90 ( ( emptyI ) =>
% 0.56/0.90 ( ( noeltsimpempty ) =>
% 0.56/0.90 ( ( setbeta ) =>
% 0.56/0.90 ( ( nonemptyE1 ) =>
% 0.56/0.90 ( ( nonemptyI ) =>
% 0.56/0.90 ( ( nonemptyI1 ) =>
% 0.56/0.90 ( ( setadjoinIL ) =>
% 0.56/0.90 ( ( emptyinunitempty ) =>
% 0.56/0.90 ( ( setadjoinIR ) =>
% 0.56/0.90 ( (
% 0.56/0.90 setadjoinE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setadjoinOr ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setoftrueEq ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyinPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyInPowerset ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powersetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X10:$i,
% 0.56/0.90 X12:$i,
% 0.56/0.90 X14:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @ X14 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X14 @ X10 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X12 @
% 0.56/0.90 (
% 0.56/0.90 setunion
% 0.56/0.90 @
% 0.56/0.90 X10 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X16:$i,
% 0.56/0.90 X18:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @
% 0.56/0.90 (
% 0.56/0.90 setunion
% 0.56/0.90 @
% 0.56/0.90 X16 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X20:$o]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X22:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X18 @ X22 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X22 @ X16 ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 X20 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X24:$i,
% 0.56/0.90 X26:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @ X24 ) =>
% 0.56/0.90 (
% 0.56/0.90 in @
% 0.56/0.90 X26 @
% 0.56/0.90 (
% 0.56/0.90 powerset
% 0.56/0.90 @
% 0.56/0.90 (
% 0.56/0.90 setunion
% 0.56/0.90 @
% 0.56/0.90 X24 ) ) ) ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 nonemptyImpWitness ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 uniqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notinsingleton ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 eqinunit ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 singletonsswitch ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIL ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 upairsetIR ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyE1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 vacuousDall ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 quantDeMorgan4 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2setI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 prop2set2propI ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdexE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 notdallE ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI1 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI3 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuI2 ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 inCongP ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 in__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exuE3u ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 exu__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 emptyset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setadjoin__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 powerset__Cong ) =>
% 0.56/0.90 (
% 0.56/0.90 ![
% 0.56/0.90 X28:$i,
% 0.56/0.90 X30:$i]:
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 X30 ) ) =>
% 0.56/0.90 (
% 0.56/0.90 (
% 0.56/0.90 setunion
% 0.56/0.90 @
% 0.56/0.90 X28 ) =
% 0.56/0.90 (
% 0.56/0.90 setunion
% 0.56/0.90 @
% 0.56/0.90 X30 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )),
% 0.56/0.90 inference('cnf.neg', [status(esa)], [zf_stmt_3])).
% 0.56/0.90 thf(zip_derived_cl39, plain, (((setunion @ sk__14) != (setunion @ sk__15))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.90 thf(zip_derived_cl40, plain, (((sk__14) = (sk__15))),
% 0.56/0.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.56/0.90 thf(zip_derived_cl84, plain, (((setunion @ sk__14) != (setunion @ sk__14))),
% 0.56/0.90 inference('demod', [status(thm)], [zip_derived_cl39, zip_derived_cl40])).
% 0.56/0.90 thf(zip_derived_cl85, plain, ($false),
% 0.56/0.90 inference('simplify', [status(thm)], [zip_derived_cl84])).
% 0.56/0.90
% 0.56/0.90 % SZS output end Refutation
% 0.56/0.90
% 0.56/0.90
% 0.56/0.90 % Terminating...
% 1.65/1.04 % Runner terminated.
% 1.65/1.05 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------