%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM135+1 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.karaiCh2K3 true
% Computer : n006.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 04:30:44 PM UTC 2025
% Result : Theorem 37.68s 5.90s
% Output : Refutation 37.68s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : COM135+1 : TPTP v9.2.0. Released v6.4.0.
% 0.05/0.10 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.karaiCh2K3 true
% 0.10/0.30 % Computer : n006.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.31 % DateTime : Wed Oct 1 13:47:38 EDT 2025
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Running portfolio for 300 s
% 0.10/0.31 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.31 % Number of cores: 8
% 0.10/0.31 % Python version: Python 3.6.8
% 0.15/0.31 % Running in FO mode
% 0.45/0.58 % Total configuration time : 435
% 0.45/0.58 % Estimated wc time : 1092
% 0.45/0.58 % Estimated cpu time (7 cpus) : 156.0
% 0.47/0.63 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.47/0.66 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 0.47/0.67 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 37.68/5.90 % Solved by fo/fo3_bce.sh.
% 37.68/5.90 % BCE start: 157
% 37.68/5.90 % BCE eliminated: 0
% 37.68/5.90 % PE start: 157
% 37.68/5.90 logic: eq
% 37.68/5.90 % PE eliminated: -34
% 37.68/5.90 % done 1411 iterations in 5.213s
% 37.68/5.90 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 37.68/5.90 % SZS output start Refutation
% 37.68/5.90 thf(vabs_type, type, vabs: $i > $i > $i > $i).
% 37.68/5.90 thf(sk__75_type, type, sk__75: $i).
% 37.68/5.90 thf(sk__67_type, type, sk__67: $i > $i > $i > $i).
% 37.68/5.90 thf(sk__73_type, type, sk__73: $i > $i > $i > $i).
% 37.68/5.90 thf(vsubst_type, type, vsubst: $i > $i > $i > $i).
% 37.68/5.90 thf(vsomeType_type, type, vsomeType: $i > $i).
% 37.68/5.90 thf(sk__74_type, type, sk__74: $i).
% 37.68/5.90 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o).
% 37.68/5.90 thf(vbind_type, type, vbind: $i > $i > $i > $i).
% 37.68/5.90 thf(vvar_type, type, vvar: $i > $i).
% 37.68/5.90 thf(varrow_type, type, varrow: $i > $i > $i).
% 37.68/5.90 thf(vlookup_type, type, vlookup: $i > $i > $i).
% 37.68/5.90 thf(sk__70_type, type, sk__70: $i > $i > $i > $i).
% 37.68/5.90 thf(sk__66_type, type, sk__66: $i > $i > $i > $i).
% 37.68/5.90 thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $i > $i > $i > $o).
% 37.68/5.90 thf(sk__69_type, type, sk__69: $i > $i > $i > $i).
% 37.68/5.90 thf(vtcheck_type, type, vtcheck: $i > $i > $i > $o).
% 37.68/5.90 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $i > $i > $i >
% 37.68/5.90 $i > $o).
% 37.68/5.90 thf(sk__77_type, type, sk__77: $i).
% 37.68/5.90 thf(visFreeVar_type, type, visFreeVar: $i > $i > $o).
% 37.68/5.90 thf(vgetSomeType_type, type, vgetSomeType: $i > $i).
% 37.68/5.90 thf(sk__76_type, type, sk__76: $i).
% 37.68/5.90 thf(sk__79_type, type, sk__79: $i).
% 37.68/5.90 thf(sk__71_type, type, sk__71: $i > $i > $i > $i).
% 37.68/5.90 thf(sk__68_type, type, sk__68: $i > $i > $i > $i).
% 37.68/5.90 thf(sk__78_type, type, sk__78: $i).
% 37.68/5.90 thf(sk__72_type, type, sk__72: $i > $i > $i > $i).
% 37.68/5.90 thf(vapp_type, type, vapp: $i > $i > $i).
% 37.68/5.90 thf(subst0, axiom,
% 37.68/5.90 (![Vx:$i,Vy:$i,VVar0:$i,VExp0:$i,VExp1:$i,RESULT:$i,Ve:$i]:
% 37.68/5.90 ( ( ( ( VVar0 ) = ( Vx ) ) & ( ( VExp0 ) = ( Ve ) ) &
% 37.68/5.90 ( ( VExp1 ) = ( vvar @ Vy ) ) ) =>
% 37.68/5.90 ( ( ( Vx ) = ( Vy ) ) =>
% 37.68/5.90 ( ( ( RESULT ) = ( vsubst @ VVar0 @ VExp0 @ VExp1 ) ) =>
% 37.68/5.90 ( ( RESULT ) = ( Ve ) ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl54, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 37.68/5.90 (((X1) != (X0))
% 37.68/5.90 | ((X5) != (vsubst @ X2 @ X3 @ X4))
% 37.68/5.90 | ((X4) != (vvar @ X0))
% 37.68/5.90 | ((X2) != (X1))
% 37.68/5.90 | ((X3) != (X6))
% 37.68/5.90 | ((X5) = (X6)))),
% 37.68/5.90 inference('cnf', [status(esa)], [subst0])).
% 37.68/5.90 thf(zip_derived_cl1546, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.68/5.90 (((X0) = (X1))
% 37.68/5.90 | ((X2) != (X1))
% 37.68/5.90 | ((X3) != (X4))
% 37.68/5.90 | ((X5) != (vvar @ X4))
% 37.68/5.90 | ((X0) != (vsubst @ X3 @ X2 @ X5)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl54])).
% 37.68/5.90 thf(zip_derived_cl1547, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.68/5.90 (((X0) != (vsubst @ X3 @ X2 @ X1))
% 37.68/5.90 | ((X1) != (vvar @ X4))
% 37.68/5.90 | ((X3) != (X4))
% 37.68/5.90 | ((X0) = (X2)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1546])).
% 37.68/5.90 thf(zip_derived_cl1548, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((X0) = (X1))
% 37.68/5.90 | ((X2) != (vvar @ X3))
% 37.68/5.90 | ((X0) != (vsubst @ X3 @ X1 @ X2)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1547])).
% 37.68/5.90 thf(zip_derived_cl1550, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X0) != (vvar @ X1)) | ((vsubst @ X1 @ X2 @ X0) = (X2)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1548])).
% 37.68/5.90 thf('T-subst-var', conjecture,
% 37.68/5.90 (![VT:$i,VC:$i,Vx:$i,Ve:$i,Vy:$i,VT2:$i]:
% 37.68/5.90 ( ( ( vtcheck @ VC @ Ve @ VT ) &
% 37.68/5.90 ( vtcheck @ ( vbind @ Vx @ VT @ VC ) @ ( vvar @ Vy ) @ VT2 ) ) =>
% 37.68/5.90 ( vtcheck @ VC @ ( vsubst @ Vx @ Ve @ ( vvar @ Vy ) ) @ VT2 ) ))).
% 37.68/5.90 thf(zf_stmt_0, negated_conjecture,
% 37.68/5.90 (~( ![VT:$i,VC:$i,Vx:$i,Ve:$i,Vy:$i,VT2:$i]:
% 37.68/5.90 ( ( ( vtcheck @ VC @ Ve @ VT ) &
% 37.68/5.90 ( vtcheck @ ( vbind @ Vx @ VT @ VC ) @ ( vvar @ Vy ) @ VT2 ) ) =>
% 37.68/5.90 ( vtcheck @ VC @ ( vsubst @ Vx @ Ve @ ( vvar @ Vy ) ) @ VT2 ) ) )),
% 37.68/5.90 inference('cnf.neg', [status(esa)], [T-subst-var])).
% 37.68/5.90 thf(zip_derived_cl154, plain,
% 37.68/5.90 (~ (vtcheck @ sk__75 @ (vsubst @ sk__76 @ sk__77 @ (vvar @ sk__78)) @
% 37.68/5.90 sk__79)),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.68/5.90 thf(zip_derived_cl1552, plain,
% 37.68/5.90 ((~ (vtcheck @ sk__75 @ sk__77 @ sk__79)
% 37.68/5.90 | ((vvar @ sk__78) != (vvar @ sk__76)))),
% 37.68/5.90 inference('sup-', [status(thm)], [zip_derived_cl1550, zip_derived_cl154])).
% 37.68/5.90 thf('T-Strong', axiom,
% 37.68/5.90 (![Vx:$i,VS:$i,VC:$i,Ve:$i,VT:$i]:
% 37.68/5.90 ( ( ( ~( visFreeVar @ Vx @ Ve ) ) &
% 37.68/5.90 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ Ve @ VT ) ) =>
% 37.68/5.90 ( vtcheck @ VC @ Ve @ VT ) ))).
% 37.68/5.90 thf(zip_derived_cl152, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.68/5.90 ( (visFreeVar @ X0 @ X1)
% 37.68/5.90 | ~ (vtcheck @ (vbind @ X0 @ X2 @ X3) @ X1 @ X4)
% 37.68/5.90 | (vtcheck @ X3 @ X1 @ X4))),
% 37.68/5.90 inference('cnf', [status(esa)], [T-Strong])).
% 37.68/5.90 thf(zip_derived_cl155, plain,
% 37.68/5.90 ( (vtcheck @ (vbind @ sk__76 @ sk__74 @ sk__75) @ (vvar @ sk__78) @
% 37.68/5.90 sk__79)),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.68/5.90 thf(zip_derived_cl1588, plain,
% 37.68/5.90 (( (vtcheck @ sk__75 @ (vvar @ sk__78) @ sk__79)
% 37.68/5.90 | (visFreeVar @ sk__76 @ (vvar @ sk__78)))),
% 37.68/5.90 inference('sup+', [status(thm)], [zip_derived_cl152, zip_derived_cl155])).
% 37.68/5.90 thf(subst1, axiom,
% 37.68/5.90 (![Ve:$i,Vx:$i,VVar0:$i,VExp0:$i,VExp1:$i,RESULT:$i,Vy:$i]:
% 37.68/5.90 ( ( ( ( VVar0 ) = ( Vx ) ) & ( ( VExp0 ) = ( Ve ) ) &
% 37.68/5.90 ( ( VExp1 ) = ( vvar @ Vy ) ) ) =>
% 37.68/5.90 ( ( ( Vx ) != ( Vy ) ) =>
% 37.68/5.90 ( ( ( RESULT ) = ( vsubst @ VVar0 @ VExp0 @ VExp1 ) ) =>
% 37.68/5.90 ( ( RESULT ) = ( vvar @ Vy ) ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl55, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 37.68/5.90 (((X3) != (vsubst @ X0 @ X1 @ X2))
% 37.68/5.90 | ((X1) != (X4))
% 37.68/5.90 | ((X0) != (X5))
% 37.68/5.90 | ((X2) != (vvar @ X6))
% 37.68/5.90 | ((X3) = (vvar @ X6))
% 37.68/5.90 | ((X5) = (X6)))),
% 37.68/5.90 inference('cnf', [status(esa)], [subst1])).
% 37.68/5.90 thf(zip_derived_cl1559, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.68/5.90 (((X0) = (X1))
% 37.68/5.90 | ((X2) = (vvar @ X1))
% 37.68/5.90 | ((X3) != (vvar @ X1))
% 37.68/5.90 | ((X4) != (X0))
% 37.68/5.90 | ((X2) != (vsubst @ X4 @ X5 @ X3)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl55])).
% 37.68/5.90 thf(zip_derived_cl1561, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.68/5.90 (((X0) != (vsubst @ X3 @ X2 @ X1))
% 37.68/5.90 | ((X1) != (vvar @ X4))
% 37.68/5.90 | ((X0) = (vvar @ X4))
% 37.68/5.90 | ((X3) = (X4)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1559])).
% 37.68/5.90 thf(zip_derived_cl1563, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((X0) = (X1))
% 37.68/5.90 | ((vsubst @ X0 @ X3 @ X2) = (vvar @ X1))
% 37.68/5.90 | ((X2) != (vvar @ X1)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1561])).
% 37.68/5.90 thf(zip_derived_cl1564, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((vsubst @ X2 @ X1 @ (vvar @ X0)) = (vvar @ X0)) | ((X2) = (X0)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1563])).
% 37.68/5.90 thf(zip_derived_cl154, plain,
% 37.68/5.90 (~ (vtcheck @ sk__75 @ (vsubst @ sk__76 @ sk__77 @ (vvar @ sk__78)) @
% 37.68/5.90 sk__79)),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.68/5.90 thf(zip_derived_cl1569, plain,
% 37.68/5.90 ((~ (vtcheck @ sk__75 @ (vvar @ sk__78) @ sk__79) | ((sk__76) = (sk__78)))),
% 37.68/5.90 inference('sup-', [status(thm)], [zip_derived_cl1564, zip_derived_cl154])).
% 37.68/5.90 thf(zip_derived_cl1591, plain,
% 37.68/5.90 (( (visFreeVar @ sk__76 @ (vvar @ sk__78)) | ((sk__76) = (sk__78)))),
% 37.68/5.90 inference('sup-', [status(thm)], [zip_derived_cl1588, zip_derived_cl1569])).
% 37.68/5.90 thf(isFreeVar0, axiom,
% 37.68/5.90 (![VVar0:$i,VExp0:$i,Vx:$i,Vv:$i]:
% 37.68/5.90 ( ( ( ( VVar0 ) = ( Vv ) ) & ( ( VExp0 ) = ( vvar @ Vx ) ) ) =>
% 37.68/5.90 ( ( ( ( Vx ) = ( Vv ) ) => ( visFreeVar @ VVar0 @ VExp0 ) ) &
% 37.68/5.90 ( ( visFreeVar @ VVar0 @ VExp0 ) => ( ( Vx ) = ( Vv ) ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl15, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((X1) != (vvar @ X0))
% 37.68/5.90 | ((X3) != (X2))
% 37.68/5.90 | ((X0) = (X2))
% 37.68/5.90 | ~ (visFreeVar @ X3 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [isFreeVar0])).
% 37.68/5.90 thf(zip_derived_cl1516, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (~ (visFreeVar @ X1 @ X0) | ((X2) = (X1)) | ((X0) != (vvar @ X2)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl15])).
% 37.68/5.90 thf(zip_derived_cl1594, plain,
% 37.68/5.90 (![X0 : $i]:
% 37.68/5.90 (((sk__76) = (sk__78))
% 37.68/5.90 | ((vvar @ sk__78) != (vvar @ X0))
% 37.68/5.90 | ((X0) = (sk__76)))),
% 37.68/5.90 inference('sup-', [status(thm)], [zip_derived_cl1591, zip_derived_cl1516])).
% 37.68/5.90 thf(zip_derived_cl1597, plain,
% 37.68/5.90 ((((sk__78) = (sk__76)) | ((sk__76) = (sk__78)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1594])).
% 37.68/5.90 thf(zip_derived_cl1598, plain, (((sk__78) = (sk__76))),
% 37.68/5.90 inference('simplify', [status(thm)], [zip_derived_cl1597])).
% 37.68/5.90 thf(zip_derived_cl1602, plain,
% 37.68/5.90 ((~ (vtcheck @ sk__75 @ sk__77 @ sk__79)
% 37.68/5.90 | ((vvar @ sk__76) != (vvar @ sk__76)))),
% 37.68/5.90 inference('demod', [status(thm)],
% 37.68/5.90 [zip_derived_cl1552, zip_derived_cl1598])).
% 37.68/5.90 thf(zip_derived_cl1603, plain, (~ (vtcheck @ sk__75 @ sk__77 @ sk__79)),
% 37.68/5.90 inference('simplify', [status(thm)], [zip_derived_cl1602])).
% 37.68/5.90 thf(zip_derived_cl155, plain,
% 37.68/5.90 ( (vtcheck @ (vbind @ sk__76 @ sk__74 @ sk__75) @ (vvar @ sk__78) @
% 37.68/5.90 sk__79)),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.68/5.90 thf(zip_derived_cl1598, plain, (((sk__78) = (sk__76))),
% 37.68/5.90 inference('simplify', [status(thm)], [zip_derived_cl1597])).
% 37.68/5.90 thf(zip_derived_cl1601, plain,
% 37.68/5.90 ( (vtcheck @ (vbind @ sk__76 @ sk__74 @ sk__75) @ (vvar @ sk__76) @
% 37.68/5.90 sk__79)),
% 37.68/5.90 inference('demod', [status(thm)], [zip_derived_cl155, zip_derived_cl1598])).
% 37.68/5.90 thf('T-inv', axiom,
% 37.68/5.90 (![Ve:$i,VT:$i,VC:$i]:
% 37.68/5.90 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 37.68/5.90 ( ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 37.68/5.90 ( ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) &
% 37.68/5.90 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 37.68/5.90 ( vtcheck @ VC @ Ve2 @ VS ) ) ) |
% 37.68/5.90 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 37.68/5.90 ( ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) &
% 37.68/5.90 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 37.68/5.90 ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) ) ) |
% 37.68/5.90 ( ?[Vx:$i]:
% 37.68/5.90 ( ( ( Ve ) = ( vvar @ Vx ) ) &
% 37.68/5.90 ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) ) ) ) ))).
% 37.68/5.90 thf(zf_stmt_1, type, zip_tseitin_18 : $i > $i > $i > $i > $o).
% 37.68/5.90 thf(zf_stmt_2, axiom,
% 37.68/5.90 (![Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 37.68/5.90 ( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) =>
% 37.68/5.90 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) &
% 37.68/5.90 ( ( Ve ) = ( vvar @ Vx ) ) ) ))).
% 37.68/5.90 thf(zf_stmt_3, type, zip_tseitin_17 : $i > $i > $i > $i > $i > $i > $i > $o).
% 37.68/5.90 thf(zf_stmt_4, axiom,
% 37.68/5.90 (![VT2:$i,VT1:$i,Ve2:$i,Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 37.68/5.90 ( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) =>
% 37.68/5.90 ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) &
% 37.68/5.90 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 37.68/5.90 ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ))).
% 37.68/5.90 thf(zf_stmt_5, type, zip_tseitin_16 : $i > $i > $i > $i > $i > $i > $o).
% 37.68/5.90 thf(zf_stmt_6, axiom,
% 37.68/5.90 (![VS:$i,Ve2:$i,Ve1:$i,VC:$i,VT:$i,Ve:$i]:
% 37.68/5.90 ( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) =>
% 37.68/5.90 ( ( vtcheck @ VC @ Ve2 @ VS ) &
% 37.68/5.90 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 37.68/5.90 ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) ) ))).
% 37.68/5.90 thf(zf_stmt_7, axiom,
% 37.68/5.90 (![Ve:$i,VT:$i,VC:$i]:
% 37.68/5.90 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 37.68/5.90 ( ( ?[Vx:$i]: ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) ) |
% 37.68/5.90 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 37.68/5.90 ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) ) |
% 37.68/5.90 ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 37.68/5.90 ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl150, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 ( (zip_tseitin_16 @ (sk__68 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__67 @ X0 @ X1 @ X2) @ (sk__66 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__71 @ X0 @ X1 @ X2) @ (sk__70 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__69 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | (zip_tseitin_18 @ (sk__73 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.68/5.90 thf(zip_derived_cl149, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.68/5.90 thf(zip_derived_cl485, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (~ (vtcheck @ X2 @ X0 @ X1)
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__71 @ X2 @ X1 @ X0) @ (sk__70 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__69 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
% 37.68/5.90 | (zip_tseitin_16 @ (sk__68 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__67 @ X2 @ X1 @ X0) @ (sk__66 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
% 37.68/5.90 | ((X0) = (vvar @ (sk__73 @ X2 @ X1 @ X0))))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl150, zip_derived_cl149])).
% 37.68/5.90 thf(zip_derived_cl144, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.68/5.90 (((X2) = (vapp @ X0 @ X1))
% 37.68/5.90 | ~ (zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.68/5.90 thf(zip_derived_cl500, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X1) = (vvar @ (sk__73 @ X2 @ X0 @ X1)))
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X2 @ X0 @ X1) @
% 37.68/5.90 (sk__71 @ X2 @ X0 @ X1) @ (sk__70 @ X2 @ X0 @ X1) @
% 37.68/5.90 (sk__69 @ X2 @ X0 @ X1) @ X2 @ X0 @ X1)
% 37.68/5.90 | ~ (vtcheck @ X2 @ X1 @ X0)
% 37.68/5.90 | ((X1) = (vapp @ (sk__66 @ X2 @ X0 @ X1) @ (sk__67 @ X2 @ X0 @ X1))))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl485, zip_derived_cl144])).
% 37.68/5.90 thf(zip_derived_cl147, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 37.68/5.90 (((X3) = (vabs @ X0 @ X1 @ X2))
% 37.68/5.90 | ~ (zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 37.68/5.90 thf(zip_derived_cl562, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X0) = (vapp @ (sk__66 @ X2 @ X1 @ X0) @ (sk__67 @ X2 @ X1 @ X0)))
% 37.68/5.90 | ~ (vtcheck @ X2 @ X0 @ X1)
% 37.68/5.90 | ((X0) = (vvar @ (sk__73 @ X2 @ X1 @ X0)))
% 37.68/5.90 | ((X0)
% 37.68/5.90 = (vabs @ (sk__69 @ X2 @ X1 @ X0) @ (sk__71 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__70 @ X2 @ X1 @ X0))))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl500, zip_derived_cl147])).
% 37.68/5.90 thf('EQ-var', axiom,
% 37.68/5.90 (![VVar0:$i,VVar1:$i]:
% 37.68/5.90 ( ( ( ( VVar0 ) = ( VVar1 ) ) => ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) ) &
% 37.68/5.90 ( ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) => ( ( VVar0 ) = ( VVar1 ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl0, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ((vvar @ X1) != (vvar @ X0)))),
% 37.68/5.90 inference('cnf', [status(esa)], [EQ-var])).
% 37.68/5.90 thf(zip_derived_cl1761, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((vvar @ X3) != (X0))
% 37.68/5.90 | ((X0)
% 37.68/5.90 = (vabs @ (sk__69 @ X2 @ X1 @ X0) @ (sk__71 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__70 @ X2 @ X1 @ X0)))
% 37.68/5.90 | ~ (vtcheck @ X2 @ X0 @ X1)
% 37.68/5.90 | ((X0) = (vapp @ (sk__66 @ X2 @ X1 @ X0) @ (sk__67 @ X2 @ X1 @ X0)))
% 37.68/5.90 | ((X3) = (sk__73 @ X2 @ X1 @ X0)))),
% 37.68/5.90 inference('sup-', [status(thm)], [zip_derived_cl562, zip_derived_cl0])).
% 37.68/5.90 thf(zip_derived_cl13097, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X0) = (sk__73 @ X2 @ X1 @ (vvar @ X0)))
% 37.68/5.90 | ((vvar @ X0)
% 37.68/5.90 = (vapp @ (sk__66 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__67 @ X2 @ X1 @ (vvar @ X0))))
% 37.68/5.90 | ~ (vtcheck @ X2 @ (vvar @ X0) @ X1)
% 37.68/5.90 | ((vvar @ X0)
% 37.68/5.90 = (vabs @ (sk__69 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__71 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__70 @ X2 @ X1 @ (vvar @ X0)))))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1761])).
% 37.68/5.90 thf('DIFF-var-abs', axiom,
% 37.68/5.90 (![VVar0:$i,VVar1:$i,VTyp0:$i,VExp0:$i]:
% 37.68/5.90 ( ( vvar @ VVar0 ) != ( vabs @ VVar1 @ VTyp0 @ VExp0 ) ))).
% 37.68/5.90 thf(zip_derived_cl9, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 ((vvar @ X3) != (vabs @ X0 @ X1 @ X2))),
% 37.68/5.90 inference('cnf', [status(esa)], [DIFF-var-abs])).
% 37.68/5.90 thf('DIFF-var-app', axiom,
% 37.68/5.90 (![VVar0:$i,VExp0:$i,VExp1:$i]:
% 37.68/5.90 ( ( vvar @ VVar0 ) != ( vapp @ VExp0 @ VExp1 ) ))).
% 37.68/5.90 thf(zip_derived_cl10, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [DIFF-var-app])).
% 37.68/5.90 thf(zip_derived_cl13098, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X0) = (sk__73 @ X2 @ X1 @ (vvar @ X0)))
% 37.68/5.90 | ~ (vtcheck @ X2 @ (vvar @ X0) @ X1))),
% 37.68/5.90 inference('simplify_reflect-', [status(thm)],
% 37.68/5.90 [zip_derived_cl13097, zip_derived_cl9, zip_derived_cl10])).
% 37.68/5.90 thf(zip_derived_cl150, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 ( (zip_tseitin_16 @ (sk__68 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__67 @ X0 @ X1 @ X2) @ (sk__66 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__71 @ X0 @ X1 @ X2) @ (sk__70 @ X0 @ X1 @ X2) @
% 37.68/5.90 (sk__69 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | (zip_tseitin_18 @ (sk__73 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 37.68/5.90 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_7])).
% 37.68/5.90 thf(zip_derived_cl148, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((vlookup @ X1 @ X2) = (vsomeType @ X0))
% 37.68/5.90 | ~ (zip_tseitin_18 @ X1 @ X2 @ X0 @ X3))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_2])).
% 37.68/5.90 thf(zip_derived_cl484, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (~ (vtcheck @ X2 @ X0 @ X1)
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__71 @ X2 @ X1 @ X0) @ (sk__70 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__69 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
% 37.68/5.90 | (zip_tseitin_16 @ (sk__68 @ X2 @ X1 @ X0) @
% 37.68/5.90 (sk__67 @ X2 @ X1 @ X0) @ (sk__66 @ X2 @ X1 @ X0) @ X2 @ X1 @ X0)
% 37.68/5.90 | ((vlookup @ (sk__73 @ X2 @ X1 @ X0) @ X2) = (vsomeType @ X1)))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl150, zip_derived_cl148])).
% 37.68/5.90 thf(zip_derived_cl144, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.68/5.90 (((X2) = (vapp @ X0 @ X1))
% 37.68/5.90 | ~ (zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_6])).
% 37.68/5.90 thf(zip_derived_cl497, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((vlookup @ (sk__73 @ X2 @ X0 @ X1) @ X2) = (vsomeType @ X0))
% 37.68/5.90 | (zip_tseitin_17 @ (sk__72 @ X2 @ X0 @ X1) @
% 37.68/5.90 (sk__71 @ X2 @ X0 @ X1) @ (sk__70 @ X2 @ X0 @ X1) @
% 37.68/5.90 (sk__69 @ X2 @ X0 @ X1) @ X2 @ X0 @ X1)
% 37.68/5.90 | ~ (vtcheck @ X2 @ X1 @ X0)
% 37.68/5.90 | ((X1) = (vapp @ (sk__66 @ X2 @ X0 @ X1) @ (sk__67 @ X2 @ X0 @ X1))))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl484, zip_derived_cl144])).
% 37.68/5.90 thf(zip_derived_cl147, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 37.68/5.90 (((X3) = (vabs @ X0 @ X1 @ X2))
% 37.68/5.90 | ~ (zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_4])).
% 37.68/5.90 thf(zip_derived_cl553, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X1) = (vapp @ (sk__66 @ X0 @ X2 @ X1) @ (sk__67 @ X0 @ X2 @ X1)))
% 37.68/5.90 | ~ (vtcheck @ X0 @ X1 @ X2)
% 37.68/5.90 | ((vlookup @ (sk__73 @ X0 @ X2 @ X1) @ X0) = (vsomeType @ X2))
% 37.68/5.90 | ((X1)
% 37.68/5.90 = (vabs @ (sk__69 @ X0 @ X2 @ X1) @ (sk__71 @ X0 @ X2 @ X1) @
% 37.68/5.90 (sk__70 @ X0 @ X2 @ X1))))),
% 37.68/5.90 inference('dp-resolution', [status(thm)],
% 37.68/5.90 [zip_derived_cl497, zip_derived_cl147])).
% 37.68/5.90 thf(zip_derived_cl13120, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((vlookup @ X0 @ X2) = (vsomeType @ X1))
% 37.68/5.90 | ~ (vtcheck @ X2 @ (vvar @ X0) @ X1)
% 37.68/5.90 | ((vvar @ X0)
% 37.68/5.90 = (vabs @ (sk__69 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__71 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__70 @ X2 @ X1 @ (vvar @ X0))))
% 37.68/5.90 | ~ (vtcheck @ X2 @ (vvar @ X0) @ X1)
% 37.68/5.90 | ((vvar @ X0)
% 37.68/5.90 = (vapp @ (sk__66 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__67 @ X2 @ X1 @ (vvar @ X0)))))),
% 37.68/5.90 inference('sup+', [status(thm)], [zip_derived_cl13098, zip_derived_cl553])).
% 37.68/5.90 thf(zip_derived_cl13163, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((vvar @ X0)
% 37.68/5.90 = (vapp @ (sk__66 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__67 @ X2 @ X1 @ (vvar @ X0))))
% 37.68/5.90 | ((vvar @ X0)
% 37.68/5.90 = (vabs @ (sk__69 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__71 @ X2 @ X1 @ (vvar @ X0)) @
% 37.68/5.90 (sk__70 @ X2 @ X1 @ (vvar @ X0))))
% 37.68/5.90 | ~ (vtcheck @ X2 @ (vvar @ X0) @ X1)
% 37.68/5.90 | ((vlookup @ X0 @ X2) = (vsomeType @ X1)))),
% 37.68/5.90 inference('simplify', [status(thm)], [zip_derived_cl13120])).
% 37.68/5.90 thf(zip_derived_cl9, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 ((vvar @ X3) != (vabs @ X0 @ X1 @ X2))),
% 37.68/5.90 inference('cnf', [status(esa)], [DIFF-var-abs])).
% 37.68/5.90 thf(zip_derived_cl10, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 37.68/5.90 inference('cnf', [status(esa)], [DIFF-var-app])).
% 37.68/5.90 thf(zip_derived_cl13164, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (~ (vtcheck @ X2 @ (vvar @ X0) @ X1)
% 37.68/5.90 | ((vlookup @ X0 @ X2) = (vsomeType @ X1)))),
% 37.68/5.90 inference('simplify_reflect-', [status(thm)],
% 37.68/5.90 [zip_derived_cl13163, zip_derived_cl9, zip_derived_cl10])).
% 37.68/5.90 thf(zip_derived_cl13365, plain,
% 37.68/5.90 (((vlookup @ sk__76 @ (vbind @ sk__76 @ sk__74 @ sk__75))
% 37.68/5.90 = (vsomeType @ sk__79))),
% 37.68/5.90 inference('sup-', [status(thm)],
% 37.68/5.90 [zip_derived_cl1601, zip_derived_cl13164])).
% 37.68/5.90 thf(lookup1, axiom,
% 37.68/5.90 (![VC:$i,Vx:$i,Vy:$i,VVar0:$i,VCtx0:$i,RESULT:$i,VTy:$i]:
% 37.68/5.90 ( ( ( ( VVar0 ) = ( Vx ) ) & ( ( VCtx0 ) = ( vbind @ Vy @ VTy @ VC ) ) ) =>
% 37.68/5.90 ( ( ( Vx ) = ( Vy ) ) =>
% 37.68/5.90 ( ( ( RESULT ) = ( vlookup @ VVar0 @ VCtx0 ) ) =>
% 37.68/5.90 ( ( RESULT ) = ( vsomeType @ VTy ) ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl37, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 37.68/5.90 (((X1) != (X0))
% 37.68/5.90 | ((X4) != (vlookup @ X2 @ X3))
% 37.68/5.90 | ((X2) != (X1))
% 37.68/5.90 | ((X3) != (vbind @ X0 @ X5 @ X6))
% 37.68/5.90 | ((X4) = (vsomeType @ X5)))),
% 37.68/5.90 inference('cnf', [status(esa)], [lookup1])).
% 37.68/5.90 thf(zip_derived_cl1549, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 37.68/5.90 (((X0) = (vsomeType @ X1))
% 37.68/5.90 | ((X2) != (vbind @ X4 @ X1 @ X3))
% 37.68/5.90 | ((X5) != (X4))
% 37.68/5.90 | ((X0) != (vlookup @ X5 @ X2)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl37])).
% 37.68/5.90 thf(zip_derived_cl1554, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 37.68/5.90 (((X0) != (vlookup @ X2 @ X1))
% 37.68/5.90 | ((X1) != (vbind @ X2 @ X4 @ X3))
% 37.68/5.90 | ((X0) = (vsomeType @ X4)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1549])).
% 37.68/5.90 thf(zip_derived_cl1555, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 37.68/5.90 (((X0) = (vsomeType @ X1))
% 37.68/5.90 | ((X0) != (vlookup @ X3 @ (vbind @ X3 @ X1 @ X2))))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1554])).
% 37.68/5.90 thf(zip_derived_cl1558, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 ((vlookup @ X2 @ (vbind @ X2 @ X1 @ X0)) = (vsomeType @ X1))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1555])).
% 37.68/5.90 thf(zip_derived_cl13375, plain,
% 37.68/5.90 (((vsomeType @ sk__74) = (vsomeType @ sk__79))),
% 37.68/5.90 inference('demod', [status(thm)],
% 37.68/5.90 [zip_derived_cl13365, zip_derived_cl1558])).
% 37.68/5.90 thf(getSomeType0, axiom,
% 37.68/5.90 (![VOptTyp0:$i,RESULT:$i,Ve:$i]:
% 37.68/5.90 ( ( ( VOptTyp0 ) = ( vsomeType @ Ve ) ) =>
% 37.68/5.90 ( ( ( RESULT ) = ( vgetSomeType @ VOptTyp0 ) ) =>
% 37.68/5.90 ( ( RESULT ) = ( Ve ) ) ) ))).
% 37.68/5.90 thf(zip_derived_cl35, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i, X2 : $i]:
% 37.68/5.90 (((X1) != (vgetSomeType @ X0))
% 37.68/5.90 | ((X0) != (vsomeType @ X2))
% 37.68/5.90 | ((X1) = (X2)))),
% 37.68/5.90 inference('cnf', [status(esa)], [getSomeType0])).
% 37.68/5.90 thf(zip_derived_cl1503, plain,
% 37.68/5.90 (![X0 : $i, X1 : $i]:
% 37.68/5.90 (((vgetSomeType @ X0) = (X1)) | ((X0) != (vsomeType @ X1)))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl35])).
% 37.68/5.90 thf(zip_derived_cl1504, plain,
% 37.68/5.90 (![X0 : $i]: ((vgetSomeType @ (vsomeType @ X0)) = (X0))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1503])).
% 37.68/5.90 thf(zip_derived_cl13408, plain,
% 37.68/5.90 (((vgetSomeType @ (vsomeType @ sk__74)) = (sk__79))),
% 37.68/5.90 inference('sup+', [status(thm)],
% 37.68/5.90 [zip_derived_cl13375, zip_derived_cl1504])).
% 37.68/5.90 thf(zip_derived_cl1504, plain,
% 37.68/5.90 (![X0 : $i]: ((vgetSomeType @ (vsomeType @ X0)) = (X0))),
% 37.68/5.90 inference('eq_res', [status(thm)], [zip_derived_cl1503])).
% 37.68/5.90 thf(zip_derived_cl13418, plain, (((sk__74) = (sk__79))),
% 37.68/5.90 inference('demod', [status(thm)],
% 37.68/5.90 [zip_derived_cl13408, zip_derived_cl1504])).
% 37.68/5.90 thf(zip_derived_cl156, plain, ( (vtcheck @ sk__75 @ sk__77 @ sk__74)),
% 37.68/5.90 inference('cnf', [status(esa)], [zf_stmt_0])).
% 37.68/5.90 thf(zip_derived_cl13421, plain, ($false),
% 37.68/5.90 inference('demod', [status(thm)],
% 37.68/5.90 [zip_derived_cl1603, zip_derived_cl13418, zip_derived_cl156])).
% 37.68/5.90
% 37.68/5.90 % SZS output end Refutation
% 37.68/5.90
% 37.68/5.90
% 37.68/5.91 % Terminating...
% 38.12/5.99 % Runner terminated.
% 38.12/6.01 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------