%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM138+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.gtPLoz8ngE true
% Computer : n031.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 1.50s 1.25s
% Output : Refutation 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : COM138+1 : TPTP v9.2.0. Released v6.4.0.
% 0.07/0.13 % Command : python3 /export/starexec/sandbox/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox/tmp/tmp.gtPLoz8ngE true
% 0.13/0.34 % Computer : n031.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Wed Oct 1 13:47:53 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.35 % Number of cores: 8
% 0.13/0.35 % Python version: Python 3.6.8
% 0.13/0.35 % Running in FO mode
% 0.68/0.71 % Total configuration time : 435
% 0.68/0.71 % Estimated wc time : 1092
% 0.68/0.71 % Estimated cpu time (7 cpus) : 156.0
% 0.82/0.78 % /export/starexec/sandbox/solver/bin/fo/fo6_bce.sh running for 75s
% 0.82/0.81 % /export/starexec/sandbox/solver/bin/fo/fo3_bce.sh running for 75s
% 0.82/0.82 % /export/starexec/sandbox/solver/bin/fo/fo1_av.sh running for 75s
% 0.82/0.82 % /export/starexec/sandbox/solver/bin/fo/fo7.sh running for 63s
% 1.44/0.84 % /export/starexec/sandbox/solver/bin/fo/fo13.sh running for 50s
% 1.44/0.84 % /export/starexec/sandbox/solver/bin/fo/fo5.sh running for 50s
% 1.44/0.85 % /export/starexec/sandbox/solver/bin/fo/fo4.sh running for 50s
% 1.50/1.25 % Solved by fo/fo13.sh.
% 1.50/1.25 % done 308 iterations in 0.392s
% 1.50/1.25 % SZS status Theorem for '/export/starexec/sandbox/benchmark/theBenchmark.p'
% 1.50/1.25 % SZS output start Refutation
% 1.50/1.25 thf(vabs_type, type, vabs: $i > $i > $i > $i).
% 1.50/1.25 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $i > $i > $i >
% 1.50/1.25 $i > $o).
% 1.50/1.25 thf(sk__78_type, type, sk__78: $i).
% 1.50/1.25 thf(sk__74_type, type, sk__74: $i).
% 1.50/1.25 thf(sk__77_type, type, sk__77: $i).
% 1.50/1.25 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o).
% 1.50/1.25 thf(sk__76_type, type, sk__76: $i).
% 1.50/1.25 thf(vsomeType_type, type, vsomeType: $i > $i).
% 1.50/1.25 thf(sk__70_type, type, sk__70: $i > $i > $i > $i).
% 1.50/1.25 thf(sk__67_type, type, sk__67: $i > $i > $i > $i).
% 1.50/1.25 thf(sk__71_type, type, sk__71: $i > $i > $i > $i).
% 1.50/1.25 thf(sk__73_type, type, sk__73: $i > $i > $i > $i).
% 1.50/1.25 thf(vbind_type, type, vbind: $i > $i > $i > $i).
% 1.50/1.25 thf(vvar_type, type, vvar: $i > $i).
% 1.50/1.25 thf(varrow_type, type, varrow: $i > $i > $i).
% 1.50/1.25 thf(sk__66_type, type, sk__66: $i > $i > $i > $i).
% 1.50/1.25 thf(vlookup_type, type, vlookup: $i > $i > $i).
% 1.50/1.25 thf(sk__69_type, type, sk__69: $i > $i > $i > $i).
% 1.50/1.25 thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $i > $i > $i > $o).
% 1.50/1.25 thf(vtcheck_type, type, vtcheck: $i > $i > $i > $o).
% 1.50/1.25 thf(sk__75_type, type, sk__75: $i).
% 1.50/1.25 thf(visFreeVar_type, type, visFreeVar: $i > $i > $o).
% 1.50/1.25 thf(sk__68_type, type, sk__68: $i > $i > $i > $i).
% 1.50/1.25 thf(sk__72_type, type, sk__72: $i > $i > $i > $i).
% 1.50/1.25 thf(vapp_type, type, vapp: $i > $i > $i).
% 1.50/1.25 thf('T-Strong-var', conjecture,
% 1.50/1.25 (![Vx:$i,VS:$i,VC:$i,Vy:$i,VT:$i]:
% 1.50/1.25 ( ( ( ~( visFreeVar @ Vx @ ( vvar @ Vy ) ) ) &
% 1.50/1.25 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) ) =>
% 1.50/1.25 ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ))).
% 1.50/1.25 thf(zf_stmt_0, negated_conjecture,
% 1.50/1.25 (~( ![Vx:$i,VS:$i,VC:$i,Vy:$i,VT:$i]:
% 1.50/1.25 ( ( ( ~( visFreeVar @ Vx @ ( vvar @ Vy ) ) ) &
% 1.50/1.25 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vvar @ Vy ) @ VT ) ) =>
% 1.50/1.25 ( vtcheck @ VC @ ( vvar @ Vy ) @ VT ) ) )),
% 1.50/1.25 inference('cnf.neg', [status(esa)], [T-Strong-var])).
% 1.50/1.25 thf(zip_derived_cl154, plain, (~ (visFreeVar @ sk__74 @ (vvar @ sk__77))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.50/1.25 thf(zip_derived_cl153, plain,
% 1.50/1.25 ( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ (vvar @ sk__77) @
% 1.50/1.25 sk__78)),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.50/1.25 thf('T-inv', axiom,
% 1.50/1.25 (![Ve:$i,VT:$i,VC:$i]:
% 1.50/1.25 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 1.50/1.25 ( ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 1.50/1.25 ( ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) &
% 1.50/1.25 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 1.50/1.25 ( vtcheck @ VC @ Ve2 @ VS ) ) ) |
% 1.50/1.25 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 1.50/1.25 ( ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) &
% 1.50/1.25 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 1.50/1.25 ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) ) ) |
% 1.50/1.25 ( ?[Vx:$i]:
% 1.50/1.25 ( ( ( Ve ) = ( vvar @ Vx ) ) &
% 1.50/1.25 ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) ) ) ) ))).
% 1.50/1.25 thf(zf_stmt_1, type, zip_tseitin_18 : $i > $i > $i > $i > $o).
% 1.50/1.25 thf(zf_stmt_2, axiom,
% 1.50/1.25 (![Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 1.50/1.25 ( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) =>
% 1.50/1.25 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) &
% 1.50/1.25 ( ( Ve ) = ( vvar @ Vx ) ) ) ))).
% 1.50/1.25 thf(zf_stmt_3, type, zip_tseitin_17 : $i > $i > $i > $i > $i > $i > $i > $o).
% 1.50/1.25 thf(zf_stmt_4, axiom,
% 1.50/1.25 (![VT2:$i,VT1:$i,Ve2:$i,Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 1.50/1.25 ( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) =>
% 1.50/1.25 ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) &
% 1.50/1.25 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 1.50/1.25 ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ))).
% 1.50/1.25 thf(zf_stmt_5, type, zip_tseitin_16 : $i > $i > $i > $i > $i > $i > $o).
% 1.50/1.25 thf(zf_stmt_6, axiom,
% 1.50/1.25 (![VS:$i,Ve2:$i,Ve1:$i,VC:$i,VT:$i,Ve:$i]:
% 1.50/1.25 ( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) =>
% 1.50/1.25 ( ( vtcheck @ VC @ Ve2 @ VS ) &
% 1.50/1.25 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 1.50/1.25 ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) ) ))).
% 1.50/1.25 thf(zf_stmt_7, axiom,
% 1.50/1.25 (![Ve:$i,VT:$i,VC:$i]:
% 1.50/1.25 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 1.50/1.25 ( ( ?[Vx:$i]: ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) ) |
% 1.50/1.25 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 1.50/1.25 ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) ) |
% 1.50/1.25 ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 1.50/1.25 ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ))).
% 1.50/1.25 thf(zip_derived_cl150, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/1.25 ( (zip_tseitin_16 @ (sk__68 @ X0 @ X1 @ X2) @
% 1.50/1.25 (sk__67 @ X0 @ X1 @ X2) @ (sk__66 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.50/1.25 | (zip_tseitin_17 @ (sk__72 @ X0 @ X1 @ X2) @
% 1.50/1.25 (sk__71 @ X0 @ X1 @ X2) @ (sk__70 @ X0 @ X1 @ X2) @
% 1.50/1.25 (sk__69 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.50/1.25 | (zip_tseitin_18 @ (sk__73 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 1.50/1.25 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_7])).
% 1.50/1.25 thf(zip_derived_cl398, plain,
% 1.50/1.25 (( (zip_tseitin_16 @
% 1.50/1.25 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | (zip_tseitin_17 @
% 1.50/1.25 (sk__72 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__71 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__70 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__69 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77)))),
% 1.50/1.25 inference('s_sup-', [status(thm)], [zip_derived_cl153, zip_derived_cl150])).
% 1.50/1.25 thf(zip_derived_cl147, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.50/1.25 (((X3) = (vabs @ X0 @ X1 @ X2))
% 1.50/1.25 | ~ (zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_4])).
% 1.50/1.25 thf(zip_derived_cl402, plain,
% 1.50/1.25 (( (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | (zip_tseitin_16 @
% 1.50/1.25 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | ((vvar @ sk__77)
% 1.50/1.25 = (vabs @
% 1.50/1.25 (sk__69 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__71 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__70 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)))))),
% 1.50/1.25 inference('s_sup-', [status(thm)], [zip_derived_cl398, zip_derived_cl147])).
% 1.50/1.25 thf('DIFF-var-abs', axiom,
% 1.50/1.25 (![VVar0:$i,VVar1:$i,VTyp0:$i,VExp0:$i]:
% 1.50/1.25 ( ( vvar @ VVar0 ) != ( vabs @ VVar1 @ VTyp0 @ VExp0 ) ))).
% 1.50/1.25 thf(zip_derived_cl9, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/1.25 ((vvar @ X3) != (vabs @ X0 @ X1 @ X2))),
% 1.50/1.25 inference('cnf', [status(esa)], [DIFF-var-abs])).
% 1.50/1.25 thf(zip_derived_cl403, plain,
% 1.50/1.25 (( (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | (zip_tseitin_16 @
% 1.50/1.25 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77)))),
% 1.50/1.25 inference('simplify_reflect-', [status(thm)],
% 1.50/1.25 [zip_derived_cl402, zip_derived_cl9])).
% 1.50/1.25 thf(zip_derived_cl144, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.50/1.25 (((X2) = (vapp @ X0 @ X1))
% 1.50/1.25 | ~ (zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_6])).
% 1.50/1.25 thf(zip_derived_cl431, plain,
% 1.50/1.25 (( (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))
% 1.50/1.25 | ((vvar @ sk__77)
% 1.50/1.25 = (vapp @
% 1.50/1.25 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)))))),
% 1.50/1.25 inference('s_sup-', [status(thm)], [zip_derived_cl403, zip_derived_cl144])).
% 1.50/1.25 thf('DIFF-var-app', axiom,
% 1.50/1.25 (![VVar0:$i,VExp0:$i,VExp1:$i]:
% 1.50/1.25 ( ( vvar @ VVar0 ) != ( vapp @ VExp0 @ VExp1 ) ))).
% 1.50/1.25 thf(zip_derived_cl10, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 1.50/1.25 inference('cnf', [status(esa)], [DIFF-var-app])).
% 1.50/1.25 thf(zip_derived_cl432, plain,
% 1.50/1.25 ( (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))),
% 1.50/1.25 inference('simplify_reflect-', [status(thm)],
% 1.50/1.25 [zip_derived_cl431, zip_derived_cl10])).
% 1.50/1.25 thf(zip_derived_cl432, plain,
% 1.50/1.25 ( (zip_tseitin_18 @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)) @
% 1.50/1.25 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @ (vvar @ sk__77))),
% 1.50/1.25 inference('simplify_reflect-', [status(thm)],
% 1.50/1.25 [zip_derived_cl431, zip_derived_cl10])).
% 1.50/1.25 thf(zip_derived_cl149, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/1.25 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/1.25 thf(zip_derived_cl434, plain,
% 1.50/1.25 (((vvar @ sk__77)
% 1.50/1.25 = (vvar @
% 1.50/1.25 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77))))),
% 1.50/1.25 inference('s_sup-', [status(thm)], [zip_derived_cl432, zip_derived_cl149])).
% 1.50/1.25 thf('EQ-var', axiom,
% 1.50/1.25 (![VVar0:$i,VVar1:$i]:
% 1.50/1.25 ( ( ( ( VVar0 ) = ( VVar1 ) ) => ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) ) &
% 1.50/1.25 ( ( ( vvar @ VVar0 ) = ( vvar @ VVar1 ) ) => ( ( VVar0 ) = ( VVar1 ) ) ) ))).
% 1.50/1.25 thf(zip_derived_cl0, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i]: (((X1) = (X0)) | ((vvar @ X1) != (vvar @ X0)))),
% 1.50/1.25 inference('cnf', [status(esa)], [EQ-var])).
% 1.50/1.25 thf(zip_derived_cl435, plain,
% 1.50/1.25 (![X0 : $i]:
% 1.50/1.25 (((X0)
% 1.50/1.25 = (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)))
% 1.50/1.25 | ((vvar @ X0) != (vvar @ sk__77)))),
% 1.50/1.25 inference('s_sup-', [status(thm)], [zip_derived_cl434, zip_derived_cl0])).
% 1.50/1.25 thf(zip_derived_cl482, plain,
% 1.50/1.25 (((sk__77)
% 1.50/1.25 = (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__78 @
% 1.50/1.25 (vvar @ sk__77)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl435])).
% 1.50/1.25 thf(zip_derived_cl1183, plain,
% 1.50/1.25 ( (zip_tseitin_18 @ sk__77 @ (vbind @ sk__74 @ sk__75 @ sk__76) @
% 1.50/1.25 sk__78 @ (vvar @ sk__77))),
% 1.50/1.25 inference('demod', [status(thm)], [zip_derived_cl432, zip_derived_cl482])).
% 1.50/1.25 thf(zip_derived_cl148, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/1.25 (((vlookup @ X1 @ X2) = (vsomeType @ X0))
% 1.50/1.25 | ~ (zip_tseitin_18 @ X1 @ X2 @ X0 @ X3))),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_2])).
% 1.50/1.25 thf(zip_derived_cl1194, plain,
% 1.50/1.25 (((vlookup @ sk__77 @ (vbind @ sk__74 @ sk__75 @ sk__76))
% 1.50/1.25 = (vsomeType @ sk__78))),
% 1.50/1.25 inference('s_sup-', [status(thm)],
% 1.50/1.25 [zip_derived_cl1183, zip_derived_cl148])).
% 1.50/1.25 thf(lookup2, axiom,
% 1.50/1.25 (![VTy:$i,Vy:$i,VVar0:$i,VCtx0:$i,RESULT:$i,Vx:$i,VC:$i]:
% 1.50/1.25 ( ( ( ( VVar0 ) = ( Vx ) ) & ( ( VCtx0 ) = ( vbind @ Vy @ VTy @ VC ) ) ) =>
% 1.50/1.25 ( ( ( Vx ) != ( Vy ) ) =>
% 1.50/1.25 ( ( ( RESULT ) = ( vlookup @ VVar0 @ VCtx0 ) ) =>
% 1.50/1.25 ( ( RESULT ) = ( vlookup @ Vx @ VC ) ) ) ) ))).
% 1.50/1.25 thf(zip_derived_cl38, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 1.50/1.25 (((X1) = (X0))
% 1.50/1.25 | ((X4) != (vlookup @ X2 @ X3))
% 1.50/1.25 | ((X2) != (X1))
% 1.50/1.25 | ((X3) != (vbind @ X0 @ X5 @ X6))
% 1.50/1.25 | ((X4) = (vlookup @ X1 @ X6)))),
% 1.50/1.25 inference('cnf', [status(esa)], [lookup2])).
% 1.50/1.25 thf(zip_derived_cl242, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 1.50/1.25 (((X0) = (vlookup @ X2 @ X1))
% 1.50/1.25 | ((X3) != (vbind @ X5 @ X4 @ X1))
% 1.50/1.25 | ((X0) != (vlookup @ X2 @ X3))
% 1.50/1.25 | ((X2) = (X5)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl38])).
% 1.50/1.25 thf(zip_derived_cl331, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 1.50/1.25 (((X0) = (X1))
% 1.50/1.25 | ((X2) != (vbind @ X1 @ X4 @ X3))
% 1.50/1.25 | ((vlookup @ X0 @ X2) = (vlookup @ X0 @ X3)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl242])).
% 1.50/1.25 thf(zip_derived_cl335, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/1.25 (((vlookup @ X3 @ (vbind @ X2 @ X1 @ X0)) = (vlookup @ X3 @ X0))
% 1.50/1.25 | ((X3) = (X2)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl331])).
% 1.50/1.25 thf(zip_derived_cl1211, plain,
% 1.50/1.25 ((((vsomeType @ sk__78) = (vlookup @ sk__77 @ sk__76))
% 1.50/1.25 | ((sk__77) = (sk__74)))),
% 1.50/1.25 inference('s_sup+', [status(thm)],
% 1.50/1.25 [zip_derived_cl1194, zip_derived_cl335])).
% 1.50/1.25 thf('T-var', axiom,
% 1.50/1.25 (![VC:$i,Vx:$i,VT:$i]:
% 1.50/1.25 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) =>
% 1.50/1.25 ( vtcheck @ VC @ ( vvar @ Vx ) @ VT ) ))).
% 1.50/1.25 thf(zip_derived_cl139, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/1.25 ( (vtcheck @ X0 @ (vvar @ X1) @ X2)
% 1.50/1.25 | ((vlookup @ X1 @ X0) != (vsomeType @ X2)))),
% 1.50/1.25 inference('cnf', [status(esa)], [T-var])).
% 1.50/1.25 thf(zip_derived_cl1220, plain,
% 1.50/1.25 (![X0 : $i]:
% 1.50/1.25 (((sk__77) = (sk__74))
% 1.50/1.25 | (vtcheck @ sk__76 @ (vvar @ sk__77) @ X0)
% 1.50/1.25 | ((vsomeType @ sk__78) != (vsomeType @ X0)))),
% 1.50/1.25 inference('s_sup-', [status(thm)],
% 1.50/1.25 [zip_derived_cl1211, zip_derived_cl139])).
% 1.50/1.25 thf(zip_derived_cl1245, plain,
% 1.50/1.25 (( (vtcheck @ sk__76 @ (vvar @ sk__77) @ sk__78) | ((sk__77) = (sk__74)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl1220])).
% 1.50/1.25 thf(zip_derived_cl152, plain,
% 1.50/1.25 (~ (vtcheck @ sk__76 @ (vvar @ sk__77) @ sk__78)),
% 1.50/1.25 inference('cnf', [status(esa)], [zf_stmt_0])).
% 1.50/1.25 thf(zip_derived_cl1246, plain, (((sk__77) = (sk__74))),
% 1.50/1.25 inference('clc', [status(thm)], [zip_derived_cl1245, zip_derived_cl152])).
% 1.50/1.25 thf(isFreeVar0, axiom,
% 1.50/1.25 (![VVar0:$i,VExp0:$i,Vx:$i,Vv:$i]:
% 1.50/1.25 ( ( ( ( VVar0 ) = ( Vv ) ) & ( ( VExp0 ) = ( vvar @ Vx ) ) ) =>
% 1.50/1.25 ( ( ( ( Vx ) = ( Vv ) ) => ( visFreeVar @ VVar0 @ VExp0 ) ) &
% 1.50/1.25 ( ( visFreeVar @ VVar0 @ VExp0 ) => ( ( Vx ) = ( Vv ) ) ) ) ))).
% 1.50/1.25 thf(zip_derived_cl16, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 1.50/1.25 (((X1) != (vvar @ X0))
% 1.50/1.25 | ((X3) != (X2))
% 1.50/1.25 | (visFreeVar @ X3 @ X1)
% 1.50/1.25 | ((X0) != (X2)))),
% 1.50/1.25 inference('cnf', [status(esa)], [isFreeVar0])).
% 1.50/1.25 thf(zip_derived_cl202, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i, X2 : $i]:
% 1.50/1.25 (((X0) != (X1)) | (visFreeVar @ X1 @ X2) | ((X2) != (vvar @ X0)))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl16])).
% 1.50/1.25 thf(zip_derived_cl207, plain,
% 1.50/1.25 (![X0 : $i, X1 : $i]: (((X0) != (vvar @ X1)) | (visFreeVar @ X1 @ X0))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl202])).
% 1.50/1.25 thf(zip_derived_cl208, plain, (![X0 : $i]: (visFreeVar @ X0 @ (vvar @ X0))),
% 1.50/1.25 inference('eq_res', [status(thm)], [zip_derived_cl207])).
% 1.50/1.25 thf(zip_derived_cl1249, plain, ($false),
% 1.50/1.25 inference('demod', [status(thm)],
% 1.50/1.25 [zip_derived_cl154, zip_derived_cl1246, zip_derived_cl208])).
% 1.50/1.25
% 1.50/1.25 % SZS output end Refutation
% 1.50/1.25
% 1.50/1.25
% 1.50/1.25 % Terminating...
% 1.94/1.33 % Runner terminated.
% 1.94/1.34 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------