%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM143+1 : TPTP v9.2.0. Released v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TPaqSUvOu4 true
% Computer : n013.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 1.22s 0.92s
% Output : Refutation 1.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : COM143+1 : TPTP v9.2.0. Released v6.4.0.
% 0.02/0.10 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.TPaqSUvOu4 true
% 0.09/0.30 % Computer : n013.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Wed Oct 1 13:49:53 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % Running portfolio for 300 s
% 0.09/0.30 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Number of cores: 8
% 0.09/0.31 % Python version: Python 3.6.8
% 0.09/0.31 % Running in FO mode
% 0.15/0.57 % Total configuration time : 435
% 0.15/0.57 % Estimated wc time : 1092
% 0.15/0.57 % Estimated cpu time (7 cpus) : 156.0
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 1.01/0.66 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 1.01/0.67 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 1.01/0.68 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.22/0.92 % Solved by fo/fo4.sh.
% 1.22/0.92 % done 150 iterations in 0.216s
% 1.22/0.92 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.22/0.92 % SZS output start Refutation
% 1.22/0.92 thf(vabs_type, type, vabs: $i > $i > $i > $i).
% 1.22/0.92 thf('#_fresh_sk1_type', type, '#_fresh_sk1': $i > $i).
% 1.22/0.92 thf(sk__16_type, type, sk__16: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__14_type, type, sk__14: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__21_type, type, sk__21: $i).
% 1.22/0.92 thf(sk__15_type, type, sk__15: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__18_type, type, sk__18: $i).
% 1.22/0.92 thf(vsomeType_type, type, vsomeType: $i > $i).
% 1.22/0.92 thf(sk__9_type, type, sk__9: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__13_type, type, sk__13: $i > $i > $i > $i).
% 1.22/0.92 thf(zip_tseitin_4_type, type, zip_tseitin_4: $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/0.92 thf(vbind_type, type, vbind: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__19_type, type, sk__19: $i).
% 1.22/0.92 thf(vvar_type, type, vvar: $i > $i).
% 1.22/0.92 thf(varrow_type, type, varrow: $i > $i > $i).
% 1.22/0.92 thf(vnoType_type, type, vnoType: $i).
% 1.22/0.92 thf(zip_tseitin_5_type, type, zip_tseitin_5: $i > $i > $i > $i > $o).
% 1.22/0.92 thf(vlookup_type, type, vlookup: $i > $i > $i).
% 1.22/0.92 thf(sk__12_type, type, sk__12: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__10_type, type, sk__10: $i > $i > $i > $i).
% 1.22/0.92 thf(vtcheck_type, type, vtcheck: $i > $i > $i > $o).
% 1.22/0.92 thf(zip_tseitin_3_type, type, zip_tseitin_3: $i > $i > $i > $i > $i > $i > $o).
% 1.22/0.92 thf(sk__20_type, type, sk__20: $i).
% 1.22/0.92 thf(sk__11_type, type, sk__11: $i > $i > $i > $i).
% 1.22/0.92 thf(sk__17_type, type, sk__17: $i).
% 1.22/0.92 thf(vapp_type, type, vapp: $i > $i > $i).
% 1.22/0.92 thf('T-Weak-var', conjecture,
% 1.22/0.92 (![Vx:$i,VS:$i,VC:$i,Vy:$i,VT:$i]:
% 1.22/0.92 ( ( ( ( vlookup @ Vx @ VC ) = ( vnoType ) ) &
% 1.22/0.92 ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ) =>
% 1.22/0.92 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) ))).
% 1.22/0.92 thf(zf_stmt_0, negated_conjecture,
% 1.22/0.92 (~( ![Vx:$i,VS:$i,VC:$i,Vy:$i,VT:$i]:
% 1.22/0.92 ( ( ( ( vlookup @ Vx @ VC ) = ( vnoType ) ) &
% 1.22/0.92 ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ) =>
% 1.22/0.92 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) ) )),
% 1.22/0.92 inference('cnf.neg', [status(esa)], [T-Weak-var])).
% 1.22/0.92 thf(zip_derived_cl43, plain, (((vlookup @ sk__17 @ sk__19) = (vnoType))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.92 thf(lookup2, axiom,
% 1.22/0.92 (![VTy:$i,Vy:$i,VVar0:$i,VCtx0:$i,RESULT:$i,Vx:$i,VC:$i]:
% 1.22/0.92 ( ( ( ( VVar0 ) = ( Vx ) ) & ( ( VCtx0 ) = ( vbind @ Vy @ VTy @ VC ) ) ) =>
% 1.22/0.92 ( ( ( Vx ) != ( Vy ) ) =>
% 1.22/0.92 ( ( ( RESULT ) = ( vlookup @ VVar0 @ VCtx0 ) ) =>
% 1.22/0.92 ( ( RESULT ) = ( vlookup @ Vx @ VC ) ) ) ) ))).
% 1.22/0.92 thf(zip_derived_cl12, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/0.92 (((X1) = (X0))
% 1.22/0.92 | ((X4) != (vlookup @ X2 @ X3))
% 1.22/0.92 | ((X2) != (X1))
% 1.22/0.92 | ((X3) != (vbind @ X0 @ X5 @ X6))
% 1.22/0.92 | ((X4) = (vlookup @ X1 @ X6)))),
% 1.22/0.92 inference('cnf', [status(esa)], [lookup2])).
% 1.22/0.92 thf(zip_derived_cl178, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/0.92 (((X0) = (vlookup @ X2 @ X1))
% 1.22/0.92 | ((X3) != (vbind @ X5 @ X4 @ X1))
% 1.22/0.92 | ((X0) != (vlookup @ X2 @ X3))
% 1.22/0.92 | ((X2) = (X5)))),
% 1.22/0.92 inference('eq_res', [status(thm)], [zip_derived_cl12])).
% 1.22/0.92 thf(zip_derived_cl378, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.22/0.92 (((X0) = (X1))
% 1.22/0.92 | ((X2) != (vlookup @ X0 @ (vbind @ X1 @ X4 @ X3)))
% 1.22/0.92 | ((X2) = (vlookup @ X0 @ X3)))),
% 1.22/0.92 inference('eq_res', [status(thm)], [zip_derived_cl178])).
% 1.22/0.92 thf(zip_derived_cl387, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.92 (((vlookup @ X3 @ (vbind @ X2 @ X1 @ X0)) = (vlookup @ X3 @ X0))
% 1.22/0.92 | ((X3) = (X2)))),
% 1.22/0.92 inference('eq_res', [status(thm)], [zip_derived_cl378])).
% 1.22/0.92 thf('T-var', axiom,
% 1.22/0.92 (![VC:$i,Vx:$i,VT:$i]:
% 1.22/0.92 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) =>
% 1.22/0.92 ( vtcheck @ VC @ ( vvar @ Vx ) @ VT ) ))).
% 1.22/0.92 thf(zip_derived_cl29, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.92 ( (vtcheck @ X0 @ (vvar @ X1) @ X2)
% 1.22/0.92 | ((vlookup @ X1 @ X0) != (vsomeType @ X2)))),
% 1.22/0.92 inference('cnf', [status(esa)], [T-var])).
% 1.22/0.92 thf(zip_derived_cl41, plain,
% 1.22/0.92 (~ (vtcheck @ (vbind @ sk__17 @ sk__18 @ sk__19) @ (vvar @ sk__20) @
% 1.22/0.92 sk__21)),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.92 thf(zip_derived_cl129, plain,
% 1.22/0.92 (((vlookup @ sk__20 @ (vbind @ sk__17 @ sk__18 @ sk__19))
% 1.22/0.92 != (vsomeType @ sk__21))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl29, zip_derived_cl41])).
% 1.22/0.92 thf(zip_derived_cl393, plain,
% 1.22/0.92 ((((vlookup @ sk__20 @ sk__19) != (vsomeType @ sk__21))
% 1.22/0.92 | ((sk__20) = (sk__17)))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl387, zip_derived_cl129])).
% 1.22/0.92 thf(zip_derived_cl42, plain,
% 1.22/0.92 ( (vtcheck @ sk__19 @ (vvar @ sk__20) @ sk__21)),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.22/0.92 thf('T-inv', axiom,
% 1.22/0.92 (![Ve:$i,VT:$i,VC:$i]:
% 1.22/0.92 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 1.22/0.92 ( ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 1.22/0.92 ( ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) &
% 1.22/0.92 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 1.22/0.92 ( vtcheck @ VC @ Ve2 @ VS ) ) ) |
% 1.22/0.92 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 1.22/0.92 ( ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) &
% 1.22/0.92 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 1.22/0.92 ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) ) ) |
% 1.22/0.92 ( ?[Vx:$i]:
% 1.22/0.92 ( ( ( Ve ) = ( vvar @ Vx ) ) &
% 1.22/0.92 ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) ) ) ) ))).
% 1.22/0.92 thf(zf_stmt_1, type, zip_tseitin_5 : $i > $i > $i > $i > $o).
% 1.22/0.92 thf(zf_stmt_2, axiom,
% 1.22/0.92 (![Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 1.22/0.92 ( ( zip_tseitin_5 @ Vx @ VC @ VT @ Ve ) =>
% 1.22/0.92 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) &
% 1.22/0.92 ( ( Ve ) = ( vvar @ Vx ) ) ) ))).
% 1.22/0.92 thf(zf_stmt_3, type, zip_tseitin_4 : $i > $i > $i > $i > $i > $i > $i > $o).
% 1.22/0.92 thf(zf_stmt_4, axiom,
% 1.22/0.92 (![VT2:$i,VT1:$i,Ve2:$i,Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 1.22/0.92 ( ( zip_tseitin_4 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) =>
% 1.22/0.92 ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) &
% 1.22/0.92 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 1.22/0.92 ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ))).
% 1.22/0.92 thf(zf_stmt_5, type, zip_tseitin_3 : $i > $i > $i > $i > $i > $i > $o).
% 1.22/0.92 thf(zf_stmt_6, axiom,
% 1.22/0.92 (![VS:$i,Ve2:$i,Ve1:$i,VC:$i,VT:$i,Ve:$i]:
% 1.22/0.92 ( ( zip_tseitin_3 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) =>
% 1.22/0.92 ( ( vtcheck @ VC @ Ve2 @ VS ) &
% 1.22/0.92 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 1.22/0.92 ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) ) ))).
% 1.22/0.92 thf(zf_stmt_7, axiom,
% 1.22/0.92 (![Ve:$i,VT:$i,VC:$i]:
% 1.22/0.92 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 1.22/0.92 ( ( ?[Vx:$i]: ( zip_tseitin_5 @ Vx @ VC @ VT @ Ve ) ) |
% 1.22/0.92 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 1.22/0.92 ( zip_tseitin_4 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) ) |
% 1.22/0.92 ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 1.22/0.92 ( zip_tseitin_3 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ))).
% 1.22/0.92 thf(zip_derived_cl40, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.22/0.92 ( (zip_tseitin_3 @ (sk__11 @ X0 @ X1 @ X2) @
% 1.22/0.92 (sk__10 @ X0 @ X1 @ X2) @ (sk__9 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.22/0.92 | (zip_tseitin_4 @ (sk__15 @ X0 @ X1 @ X2) @
% 1.22/0.92 (sk__14 @ X0 @ X1 @ X2) @ (sk__13 @ X0 @ X1 @ X2) @
% 1.22/0.92 (sk__12 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.22/0.92 | (zip_tseitin_5 @ (sk__16 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.22/0.92 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.22/0.92 thf(zip_derived_cl672, plain,
% 1.22/0.92 (( (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20))
% 1.22/0.92 | (zip_tseitin_4 @ (sk__15 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__14 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__13 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__12 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @ sk__19 @ sk__21 @
% 1.22/0.92 (vvar @ sk__20))
% 1.22/0.92 | (zip_tseitin_3 @ (sk__11 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__10 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__9 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @ sk__19 @ sk__21 @
% 1.22/0.92 (vvar @ sk__20)))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl42, zip_derived_cl40])).
% 1.22/0.92 thf(zip_derived_cl37, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.22/0.92 (((X3) = (vabs @ X0 @ X1 @ X2))
% 1.22/0.92 | ~ (zip_tseitin_4 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.22/0.92 thf(zip_derived_cl675, plain,
% 1.22/0.92 (( (zip_tseitin_3 @ (sk__11 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__10 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__9 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @ sk__19 @ sk__21 @
% 1.22/0.92 (vvar @ sk__20))
% 1.22/0.92 | (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20))
% 1.22/0.92 | ((vvar @ sk__20)
% 1.22/0.92 = (vabs @ (sk__12 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__14 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__13 @ sk__19 @ sk__21 @ (vvar @ sk__20)))))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl672, zip_derived_cl37])).
% 1.22/0.92 thf('DIFF-var-abs', axiom,
% 1.22/0.92 (![VVar0:$i,VVar1:$i,VTyp0:$i,VExp0:$i]:
% 1.22/0.92 ( ( vvar @ VVar0 ) != ( vabs @ VVar1 @ VTyp0 @ VExp0 ) ))).
% 1.22/0.92 thf(zip_derived_cl2, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.92 ((vvar @ X3) != (vabs @ X0 @ X1 @ X2))),
% 1.22/0.92 inference('cnf', [status(esa)], [DIFF-var-abs])).
% 1.22/0.92 thf(zip_derived_cl711, plain,
% 1.22/0.92 (( (zip_tseitin_3 @ (sk__11 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__10 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__9 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @ sk__19 @ sk__21 @
% 1.22/0.92 (vvar @ sk__20))
% 1.22/0.92 | (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20)))),
% 1.22/0.92 inference('simplify_reflect-', [status(thm)],
% 1.22/0.92 [zip_derived_cl675, zip_derived_cl2])).
% 1.22/0.92 thf(zip_derived_cl34, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.22/0.92 (((X2) = (vapp @ X0 @ X1))
% 1.22/0.92 | ~ (zip_tseitin_3 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.22/0.92 thf(zip_derived_cl714, plain,
% 1.22/0.92 (( (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20))
% 1.22/0.92 | ((vvar @ sk__20)
% 1.22/0.92 = (vapp @ (sk__9 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 (sk__10 @ sk__19 @ sk__21 @ (vvar @ sk__20)))))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl711, zip_derived_cl34])).
% 1.22/0.92 thf('DIFF-var-app', axiom,
% 1.22/0.92 (![VVar0:$i,VExp0:$i,VExp1:$i]:
% 1.22/0.92 ( ( vvar @ VVar0 ) != ( vapp @ VExp0 @ VExp1 ) ))).
% 1.22/0.92 thf(zip_derived_cl3, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 1.22/0.92 inference('cnf', [status(esa)], [DIFF-var-app])).
% 1.22/0.92 thf(zip_derived_cl742, plain,
% 1.22/0.92 ( (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20))),
% 1.22/0.92 inference('simplify_reflect-', [status(thm)],
% 1.22/0.92 [zip_derived_cl714, zip_derived_cl3])).
% 1.22/0.92 thf(zip_derived_cl742, plain,
% 1.22/0.92 ( (zip_tseitin_5 @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)) @
% 1.22/0.92 sk__19 @ sk__21 @ (vvar @ sk__20))),
% 1.22/0.92 inference('simplify_reflect-', [status(thm)],
% 1.22/0.92 [zip_derived_cl714, zip_derived_cl3])).
% 1.22/0.92 thf(zip_derived_cl39, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.92 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_5 @ X0 @ X2 @ X3 @ X1))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/0.92 thf(zip_derived_cl744, plain,
% 1.22/0.92 (((vvar @ sk__20) = (vvar @ (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20))))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl742, zip_derived_cl39])).
% 1.22/0.92 thf('EQ-var', axiom,
% 1.22/0.92 (![VVar0:$i,VVar1:$i]:
% 1.22/0.92 ( ( ( ( VVar0 ) = ( VVar1 ) ) => ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) ) &
% 1.22/0.92 ( ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) => ( ( VVar0 ) = ( VVar1 ) ) ) ))).
% 1.22/0.92 thf(zip_derived_cl0, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ((vvar @ X1) != (vvar @ X0)))),
% 1.22/0.92 inference('cnf', [status(esa)], [EQ-var])).
% 1.22/0.92 thf(zip_derived_cl68, plain,
% 1.22/0.92 (![X1 : $i]: (('#_fresh_sk1' @ (vvar @ X1)) = (X1))),
% 1.22/0.92 inference('inj_rec', [status(thm)], [zip_derived_cl0])).
% 1.22/0.92 thf(zip_derived_cl770, plain,
% 1.22/0.92 ((('#_fresh_sk1' @ (vvar @ sk__20))
% 1.22/0.92 = (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)))),
% 1.22/0.92 inference('sup+', [status(thm)], [zip_derived_cl744, zip_derived_cl68])).
% 1.22/0.92 thf(zip_derived_cl68, plain,
% 1.22/0.92 (![X1 : $i]: (('#_fresh_sk1' @ (vvar @ X1)) = (X1))),
% 1.22/0.92 inference('inj_rec', [status(thm)], [zip_derived_cl0])).
% 1.22/0.92 thf(zip_derived_cl793, plain,
% 1.22/0.92 (((sk__20) = (sk__16 @ sk__19 @ sk__21 @ (vvar @ sk__20)))),
% 1.22/0.92 inference('demod', [status(thm)], [zip_derived_cl770, zip_derived_cl68])).
% 1.22/0.92 thf(zip_derived_cl795, plain,
% 1.22/0.92 ( (zip_tseitin_5 @ sk__20 @ sk__19 @ sk__21 @ (vvar @ sk__20))),
% 1.22/0.92 inference('demod', [status(thm)], [zip_derived_cl742, zip_derived_cl793])).
% 1.22/0.92 thf(zip_derived_cl38, plain,
% 1.22/0.92 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.22/0.92 (((vlookup @ X1 @ X2) = (vsomeType @ X0))
% 1.22/0.92 | ~ (zip_tseitin_5 @ X1 @ X2 @ X0 @ X3))),
% 1.22/0.92 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.22/0.92 thf(zip_derived_cl799, plain,
% 1.22/0.92 (((vlookup @ sk__20 @ sk__19) = (vsomeType @ sk__21))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl795, zip_derived_cl38])).
% 1.22/0.92 thf(zip_derived_cl804, plain,
% 1.22/0.92 ((((vsomeType @ sk__21) != (vsomeType @ sk__21)) | ((sk__20) = (sk__17)))),
% 1.22/0.92 inference('demod', [status(thm)], [zip_derived_cl393, zip_derived_cl799])).
% 1.22/0.92 thf(zip_derived_cl805, plain, (((sk__20) = (sk__17))),
% 1.22/0.92 inference('simplify', [status(thm)], [zip_derived_cl804])).
% 1.22/0.92 thf(zip_derived_cl799, plain,
% 1.22/0.92 (((vlookup @ sk__20 @ sk__19) = (vsomeType @ sk__21))),
% 1.22/0.92 inference('sup-', [status(thm)], [zip_derived_cl795, zip_derived_cl38])).
% 1.22/0.92 thf(zip_derived_cl851, plain, (((vsomeType @ sk__21) = (vnoType))),
% 1.22/0.92 inference('demod', [status(thm)],
% 1.22/0.92 [zip_derived_cl43, zip_derived_cl805, zip_derived_cl799])).
% 1.22/0.92 thf('DIFF-noType-someType', axiom,
% 1.22/0.92 (![VTyp0:$i]: ( ( vnoType ) != ( vsomeType @ VTyp0 ) ))).
% 1.22/0.92 thf(zip_derived_cl9, plain, (![X0 : $i]: ((vnoType) != (vsomeType @ X0))),
% 1.22/0.92 inference('cnf', [status(esa)], [DIFF-noType-someType])).
% 1.22/0.92 thf(zip_derived_cl852, plain, ($false),
% 1.22/0.92 inference('simplify_reflect-', [status(thm)],
% 1.22/0.92 [zip_derived_cl851, zip_derived_cl9])).
% 1.22/0.92
% 1.22/0.92 % SZS output end Refutation
% 1.22/0.92
% 1.22/0.92
% 1.22/0.92 % Terminating...
% 1.45/0.98 % Runner terminated.
% 1.45/1.00 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------