%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM126+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.uEJ1K1DrBD true
% Computer : n007.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 04:30:43 PM UTC 2025
% Result : Theorem 0.54s 1.04s
% Output : Refutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : COM126+1 : TPTP v9.2.0. Released v6.4.0.
% 0.03/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.uEJ1K1DrBD true
% 0.13/0.35 % Computer : n007.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Wed Oct 1 13:50:08 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % Running portfolio for 300 s
% 0.13/0.35 % File : /export/starexec/sandbox2/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
% 0.53/0.63 % Total configuration time : 435
% 0.53/0.63 % Estimated wc time : 1092
% 0.53/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.53/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.53/0.71 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.53/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.53/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.54/0.76 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.54/1.04 % Solved by fo/fo13.sh.
% 0.54/1.04 % done 376 iterations in 0.275s
% 0.54/1.04 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.54/1.04 % SZS output start Refutation
% 0.54/1.04 thf(vabs_type, type, vabs: $i > $i > $i > $i).
% 0.54/1.04 thf(sk__67_type, type, sk__67: $i > $i > $i > $i).
% 0.54/1.04 thf(vsomeType_type, type, vsomeType: $i > $i).
% 0.54/1.04 thf(sk__71_type, type, sk__71: $i > $i > $i > $i).
% 0.54/1.04 thf(sk__73_type, type, sk__73: $i > $i > $i > $i).
% 0.54/1.04 thf(vbind_type, type, vbind: $i > $i > $i > $i).
% 0.54/1.04 thf(vvar_type, type, vvar: $i > $i).
% 0.54/1.04 thf(varrow_type, type, varrow: $i > $i > $i).
% 0.54/1.04 thf(sk__68_type, type, sk__68: $i > $i > $i > $i).
% 0.54/1.04 thf(vlookup_type, type, vlookup: $i > $i > $i).
% 0.54/1.04 thf(sk__72_type, type, sk__72: $i > $i > $i > $i).
% 0.54/1.04 thf(sk__75_type, type, sk__75: $i).
% 0.54/1.04 thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $i > $i > $i > $o).
% 0.54/1.04 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o).
% 0.54/1.04 thf(vtcheck_type, type, vtcheck: $i > $i > $i > $o).
% 0.54/1.04 thf(ve2app_type, type, ve2app: $i).
% 0.54/1.04 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $i > $i > $i >
% 0.54/1.04 $i > $o).
% 0.54/1.04 thf(visFreeVar_type, type, visFreeVar: $i > $i > $o).
% 0.54/1.04 thf(sk__77_type, type, sk__77: $i).
% 0.54/1.04 thf(sk__74_type, type, sk__74: $i).
% 0.54/1.04 thf(sk__70_type, type, sk__70: $i > $i > $i > $i).
% 0.54/1.04 thf(ve1app_type, type, ve1app: $i).
% 0.54/1.04 thf(sk__66_type, type, sk__66: $i > $i > $i > $i).
% 0.54/1.04 thf(sk__69_type, type, sk__69: $i > $i > $i > $i).
% 0.54/1.04 thf(vapp_type, type, vapp: $i > $i > $i).
% 0.54/1.04 thf(sk__76_type, type, sk__76: $i).
% 0.54/1.04 thf('T-Weak-FreeVar-app', conjecture,
% 0.54/1.04 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.54/1.04 ( ( ( ~( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) ) ) &
% 0.54/1.04 ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) ) =>
% 0.54/1.04 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ))).
% 0.54/1.04 thf(zf_stmt_0, negated_conjecture,
% 0.54/1.04 (~( ![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.54/1.04 ( ( ( ~( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) ) ) &
% 0.54/1.04 ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) ) =>
% 0.54/1.04 ( vtcheck @
% 0.54/1.04 ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ) )),
% 0.54/1.04 inference('cnf.neg', [status(esa)], [T-Weak-FreeVar-app])).
% 0.54/1.04 thf(zip_derived_cl157, plain,
% 0.54/1.04 (~ (visFreeVar @ sk__74 @ (vapp @ ve1app @ ve2app))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.04 thf(zip_derived_cl156, plain,
% 0.54/1.04 ( (vtcheck @ sk__76 @ (vapp @ ve1app @ ve2app) @ sk__77)),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.04 thf('T-inv', axiom,
% 0.54/1.04 (![Ve:$i,VT:$i,VC:$i]:
% 0.54/1.04 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 0.54/1.04 ( ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 0.54/1.04 ( ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) &
% 0.54/1.04 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.54/1.04 ( vtcheck @ VC @ Ve2 @ VS ) ) ) |
% 0.54/1.04 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 0.54/1.04 ( ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) &
% 0.54/1.04 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 0.54/1.04 ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) ) ) |
% 0.54/1.04 ( ?[Vx:$i]:
% 0.54/1.04 ( ( ( Ve ) = ( vvar @ Vx ) ) &
% 0.54/1.04 ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) ) ) ) ))).
% 0.54/1.04 thf(zf_stmt_1, type, zip_tseitin_18 : $i > $i > $i > $i > $o).
% 0.54/1.04 thf(zf_stmt_2, axiom,
% 0.54/1.04 (![Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 0.54/1.04 ( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) =>
% 0.54/1.04 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) &
% 0.54/1.04 ( ( Ve ) = ( vvar @ Vx ) ) ) ))).
% 0.54/1.04 thf(zf_stmt_3, type, zip_tseitin_17 : $i > $i > $i > $i > $i > $i > $i > $o).
% 0.54/1.04 thf(zf_stmt_4, axiom,
% 0.54/1.04 (![VT2:$i,VT1:$i,Ve2:$i,Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 0.54/1.04 ( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) =>
% 0.54/1.04 ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) &
% 0.54/1.04 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 0.54/1.04 ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ))).
% 0.54/1.04 thf(zf_stmt_5, type, zip_tseitin_16 : $i > $i > $i > $i > $i > $i > $o).
% 0.54/1.04 thf(zf_stmt_6, axiom,
% 0.54/1.04 (![VS:$i,Ve2:$i,Ve1:$i,VC:$i,VT:$i,Ve:$i]:
% 0.54/1.04 ( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) =>
% 0.54/1.04 ( ( vtcheck @ VC @ Ve2 @ VS ) &
% 0.54/1.04 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.54/1.04 ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) ) ))).
% 0.54/1.04 thf(zf_stmt_7, axiom,
% 0.54/1.04 (![Ve:$i,VT:$i,VC:$i]:
% 0.54/1.04 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 0.54/1.04 ( ( ?[Vx:$i]: ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) ) |
% 0.54/1.04 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 0.54/1.04 ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) ) |
% 0.54/1.04 ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 0.54/1.04 ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ))).
% 0.54/1.04 thf(zip_derived_cl150, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.04 ( (zip_tseitin_16 @ (sk__68 @ X0 @ X1 @ X2) @
% 0.54/1.04 (sk__67 @ X0 @ X1 @ X2) @ (sk__66 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.54/1.04 | (zip_tseitin_17 @ (sk__72 @ X0 @ X1 @ X2) @
% 0.54/1.04 (sk__71 @ X0 @ X1 @ X2) @ (sk__70 @ X0 @ X1 @ X2) @
% 0.54/1.04 (sk__69 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.54/1.04 | (zip_tseitin_18 @ (sk__73 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.54/1.04 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.54/1.04 thf(zip_derived_cl436, plain,
% 0.54/1.04 (( (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_17 @
% 0.54/1.04 (sk__72 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__71 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__70 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__69 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl156, zip_derived_cl150])).
% 0.54/1.04 thf(zip_derived_cl147, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.54/1.04 (((X3) = (vabs @ X0 @ X1 @ X2))
% 0.54/1.04 | ~ (zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.54/1.04 thf(zip_derived_cl439, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vabs @ (sk__69 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__71 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__70 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl147])).
% 0.54/1.04 thf('DIFF-abs-app', axiom,
% 0.54/1.04 (![VVar0:$i,VTyp0:$i,VExp0:$i,VExp1:$i,VExp2:$i]:
% 0.54/1.04 ( ( vabs @ VVar0 @ VTyp0 @ VExp0 ) != ( vapp @ VExp1 @ VExp2 ) ))).
% 0.54/1.04 thf(zip_derived_cl11, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/1.04 ((vabs @ X2 @ X3 @ X4) != (vapp @ X0 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [DIFF-abs-app])).
% 0.54/1.04 thf(zip_derived_cl440, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl439, zip_derived_cl11])).
% 0.54/1.04 thf(zip_derived_cl440, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl439, zip_derived_cl11])).
% 0.54/1.04 thf(zip_derived_cl144, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/1.04 (((X2) = (vapp @ X0 @ X1))
% 0.54/1.04 | ~ (zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/1.04 thf(zip_derived_cl443, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vapp @ (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl144])).
% 0.54/1.04 thf('EQ-app', axiom,
% 0.54/1.04 (![VExp0:$i,VExp1:$i,VExp2:$i,VExp3:$i]:
% 0.54/1.04 ( ( ( ( ( VExp0 ) = ( VExp2 ) ) & ( ( VExp1 ) = ( VExp3 ) ) ) =>
% 0.54/1.04 ( ( vapp @ VExp0 @ VExp1 ) = ( vapp @ VExp2 @ VExp3 ) ) ) &
% 0.54/1.04 ( ( ( vapp @ VExp0 @ VExp1 ) = ( vapp @ VExp2 @ VExp3 ) ) =>
% 0.54/1.04 ( ( ( VExp0 ) = ( VExp2 ) ) & ( ( VExp1 ) = ( VExp3 ) ) ) ) ))).
% 0.54/1.04 thf(zip_derived_cl6, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (X0)) | ((vapp @ X1 @ X3) != (vapp @ X0 @ X2)))),
% 0.54/1.04 inference('cnf', [status(esa)], [EQ-app])).
% 0.54/1.04 thf(zip_derived_cl445, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i]:
% 0.54/1.04 ( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | ((X1) = (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | ((vapp @ X1 @ X0) != (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl443, zip_derived_cl6])).
% 0.54/1.04 thf(zip_derived_cl472, plain,
% 0.54/1.04 ((((ve1app) = (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl445])).
% 0.54/1.04 thf(zip_derived_cl149, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.04 thf(zip_derived_cl482, plain,
% 0.54/1.04 ((((ve1app) = (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vvar @ (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl472, zip_derived_cl149])).
% 0.54/1.04 thf('DIFF-var-app', axiom,
% 0.54/1.04 (![VVar0:$i,VExp0:$i,VExp1:$i]:
% 0.54/1.04 ( ( vvar @ VVar0 ) != ( vapp @ VExp0 @ VExp1 ) ))).
% 0.54/1.04 thf(zip_derived_cl10, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.54/1.04 thf(zip_derived_cl483, plain,
% 0.54/1.04 (((ve1app) = (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl482, zip_derived_cl10])).
% 0.54/1.04 thf(zip_derived_cl484, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ ve1app @
% 0.54/1.04 sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('demod', [status(thm)], [zip_derived_cl440, zip_derived_cl483])).
% 0.54/1.04 thf(zip_derived_cl443, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vapp @ (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl144])).
% 0.54/1.04 thf(zip_derived_cl483, plain,
% 0.54/1.04 (((ve1app) = (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl482, zip_derived_cl10])).
% 0.54/1.04 thf(zip_derived_cl485, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vapp @ ve1app @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('demod', [status(thm)], [zip_derived_cl443, zip_derived_cl483])).
% 0.54/1.04 thf(zip_derived_cl149, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.04 thf(zip_derived_cl490, plain,
% 0.54/1.04 ((((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vapp @ ve1app @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app))))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vvar @ (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl485, zip_derived_cl149])).
% 0.54/1.04 thf(zip_derived_cl10, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.54/1.04 thf(zip_derived_cl491, plain,
% 0.54/1.04 (((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vapp @ ve1app @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app))))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl490, zip_derived_cl10])).
% 0.54/1.04 thf(zip_derived_cl7, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (X0)) | ((vapp @ X3 @ X1) != (vapp @ X2 @ X0)))),
% 0.54/1.04 inference('cnf', [status(esa)], [EQ-app])).
% 0.54/1.04 thf(zip_derived_cl494, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i]:
% 0.54/1.04 (((X0) = (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | ((vapp @ X1 @ X0) != (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl491, zip_derived_cl7])).
% 0.54/1.04 thf(zip_derived_cl528, plain,
% 0.54/1.04 (((ve2app) = (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl494])).
% 0.54/1.04 thf(zip_derived_cl639, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ ve2app @
% 0.54/1.04 ve1app @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('demod', [status(thm)], [zip_derived_cl484, zip_derived_cl528])).
% 0.54/1.04 thf(zip_derived_cl143, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/1.04 ( (vtcheck @ X0 @ X1 @ (varrow @ X2 @ X3))
% 0.54/1.04 | ~ (zip_tseitin_16 @ X2 @ X4 @ X1 @ X0 @ X3 @ X5))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/1.04 thf(zip_derived_cl641, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (vtcheck @ sk__76 @ ve1app @
% 0.54/1.04 (varrow @ (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 sk__77)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl639, zip_derived_cl143])).
% 0.54/1.04 thf(zip_derived_cl149, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.04 thf(zip_derived_cl680, plain,
% 0.54/1.04 (( (vtcheck @ sk__76 @ ve1app @
% 0.54/1.04 (varrow @ (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 sk__77))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vvar @ (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl641, zip_derived_cl149])).
% 0.54/1.04 thf(zip_derived_cl10, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.54/1.04 thf(zip_derived_cl681, plain,
% 0.54/1.04 ( (vtcheck @ sk__76 @ ve1app @
% 0.54/1.04 (varrow @ (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 sk__77))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl680, zip_derived_cl10])).
% 0.54/1.04 thf('T-Weak-FreeVar-app-IH1', axiom,
% 0.54/1.04 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.54/1.04 ( ( ( ~( visFreeVar @ Vx @ ve1app ) ) & ( vtcheck @ VC @ ve1app @ VT ) ) =>
% 0.54/1.04 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve1app @ VT ) ))).
% 0.54/1.04 thf(zip_derived_cl153, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 ( (visFreeVar @ X0 @ ve1app)
% 0.54/1.04 | ~ (vtcheck @ X1 @ ve1app @ X2)
% 0.54/1.04 | (vtcheck @ (vbind @ X0 @ X3 @ X1) @ ve1app @ X2))),
% 0.54/1.04 inference('cnf', [status(esa)], [T-Weak-FreeVar-app-IH1])).
% 0.54/1.04 thf(zip_derived_cl684, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i]:
% 0.54/1.04 ( (visFreeVar @ X0 @ ve1app)
% 0.54/1.04 | (vtcheck @ (vbind @ X0 @ X1 @ sk__76) @ ve1app @
% 0.54/1.04 (varrow @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__77)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl681, zip_derived_cl153])).
% 0.54/1.04 thf('T-app', axiom,
% 0.54/1.04 (![VS:$i,VC:$i,Ve1:$i,Ve2:$i,VT:$i]:
% 0.54/1.04 ( ( ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.54/1.04 ( vtcheck @ VC @ Ve2 @ VS ) ) =>
% 0.54/1.04 ( vtcheck @ VC @ ( vapp @ Ve1 @ Ve2 ) @ VT ) ))).
% 0.54/1.04 thf(zip_derived_cl141, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/1.04 (~ (vtcheck @ X0 @ X1 @ X2)
% 0.54/1.04 | ~ (vtcheck @ X0 @ X3 @ (varrow @ X2 @ X4))
% 0.54/1.04 | (vtcheck @ X0 @ (vapp @ X3 @ X1) @ X4))),
% 0.54/1.04 inference('cnf', [status(esa)], [T-app])).
% 0.54/1.04 thf(zip_derived_cl752, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.04 ( (visFreeVar @ X1 @ ve1app)
% 0.54/1.04 | ~ (vtcheck @ (vbind @ X1 @ X0 @ sk__76) @ X2 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | (vtcheck @ (vbind @ X1 @ X0 @ sk__76) @ (vapp @ ve1app @ X2) @
% 0.54/1.04 sk__77))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl684, zip_derived_cl141])).
% 0.54/1.04 thf(zip_derived_cl440, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (zip_tseitin_16 @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__66 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl439, zip_derived_cl11])).
% 0.54/1.04 thf(zip_derived_cl142, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.54/1.04 ( (vtcheck @ X0 @ X1 @ X2)
% 0.54/1.04 | ~ (zip_tseitin_16 @ X2 @ X1 @ X3 @ X0 @ X4 @ X5))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.54/1.04 thf(zip_derived_cl441, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (vtcheck @ sk__76 @
% 0.54/1.04 (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl440, zip_derived_cl142])).
% 0.54/1.04 thf(zip_derived_cl528, plain,
% 0.54/1.04 (((ve2app) = (sk__67 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl494])).
% 0.54/1.04 thf(zip_derived_cl530, plain,
% 0.54/1.04 (( (zip_tseitin_18 @
% 0.54/1.04 (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)) @ sk__76 @
% 0.54/1.04 sk__77 @ (vapp @ ve1app @ ve2app))
% 0.54/1.04 | (vtcheck @ sk__76 @ ve2app @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app))))),
% 0.54/1.04 inference('demod', [status(thm)], [zip_derived_cl441, zip_derived_cl528])).
% 0.54/1.04 thf(zip_derived_cl149, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.54/1.04 thf(zip_derived_cl541, plain,
% 0.54/1.04 (( (vtcheck @ sk__76 @ ve2app @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))
% 0.54/1.04 | ((vapp @ ve1app @ ve2app)
% 0.54/1.04 = (vvar @ (sk__73 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl530, zip_derived_cl149])).
% 0.54/1.04 thf(zip_derived_cl10, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.54/1.04 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.54/1.04 thf(zip_derived_cl542, plain,
% 0.54/1.04 ( (vtcheck @ sk__76 @ ve2app @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app)))),
% 0.54/1.04 inference('simplify_reflect-', [status(thm)],
% 0.54/1.04 [zip_derived_cl541, zip_derived_cl10])).
% 0.54/1.04 thf('T-Weak-FreeVar-app-IH2', axiom,
% 0.54/1.04 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.54/1.04 ( ( ( ~( visFreeVar @ Vx @ ve2app ) ) & ( vtcheck @ VC @ ve2app @ VT ) ) =>
% 0.54/1.04 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve2app @ VT ) ))).
% 0.54/1.04 thf(zip_derived_cl154, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 ( (visFreeVar @ X0 @ ve2app)
% 0.54/1.04 | ~ (vtcheck @ X1 @ ve2app @ X2)
% 0.54/1.04 | (vtcheck @ (vbind @ X0 @ X3 @ X1) @ ve2app @ X2))),
% 0.54/1.04 inference('cnf', [status(esa)], [T-Weak-FreeVar-app-IH2])).
% 0.54/1.04 thf(zip_derived_cl544, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i]:
% 0.54/1.04 ( (visFreeVar @ X0 @ ve2app)
% 0.54/1.04 | (vtcheck @ (vbind @ X0 @ X1 @ sk__76) @ ve2app @
% 0.54/1.04 (sk__68 @ sk__76 @ sk__77 @ (vapp @ ve1app @ ve2app))))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl154])).
% 0.54/1.04 thf(zip_derived_cl802, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i]:
% 0.54/1.04 ( (vtcheck @ (vbind @ X1 @ X0 @ sk__76) @ (vapp @ ve1app @ ve2app) @
% 0.54/1.04 sk__77)
% 0.54/1.04 | (visFreeVar @ X1 @ ve1app)
% 0.54/1.04 | (visFreeVar @ X1 @ ve2app))),
% 0.54/1.04 inference('s_sup+', [status(thm)], [zip_derived_cl752, zip_derived_cl544])).
% 0.54/1.04 thf(zip_derived_cl155, plain,
% 0.54/1.04 (~ (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @
% 0.54/1.04 (vapp @ ve1app @ ve2app) @ sk__77)),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.04 thf(zip_derived_cl810, plain,
% 0.54/1.04 (( (visFreeVar @ sk__74 @ ve2app) | (visFreeVar @ sk__74 @ ve1app))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl802, zip_derived_cl155])).
% 0.54/1.04 thf(isFreeVar2, axiom,
% 0.54/1.04 (![VVar0:$i,VExp0:$i,Ve1:$i,Vv:$i,Ve2:$i]:
% 0.54/1.04 ( ( ( ( VVar0 ) = ( Vv ) ) & ( ( VExp0 ) = ( vapp @ Ve1 @ Ve2 ) ) ) =>
% 0.54/1.04 ( ( ( ( visFreeVar @ Vv @ Ve1 ) | ( visFreeVar @ Vv @ Ve2 ) ) =>
% 0.54/1.04 ( visFreeVar @ VVar0 @ VExp0 ) ) &
% 0.54/1.04 ( ( visFreeVar @ VVar0 @ VExp0 ) =>
% 0.54/1.04 ( ( visFreeVar @ Vv @ Ve1 ) | ( visFreeVar @ Vv @ Ve2 ) ) ) ) ))).
% 0.54/1.04 thf(zip_derived_cl22, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/1.04 (((X1) != (X0))
% 0.54/1.04 | ((X4) != (vapp @ X2 @ X3))
% 0.54/1.04 | (visFreeVar @ X1 @ X4)
% 0.54/1.04 | ~ (visFreeVar @ X0 @ X3))),
% 0.54/1.04 inference('cnf', [status(esa)], [isFreeVar2])).
% 0.54/1.04 thf(zip_derived_cl234, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (~ (visFreeVar @ X1 @ X0)
% 0.54/1.04 | (visFreeVar @ X1 @ X2)
% 0.54/1.04 | ((X2) != (vapp @ X3 @ X0)))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl22])).
% 0.54/1.04 thf(zip_derived_cl238, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.04 ( (visFreeVar @ X2 @ (vapp @ X1 @ X0)) | ~ (visFreeVar @ X2 @ X0))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl234])).
% 0.54/1.04 thf(zip_derived_cl812, plain,
% 0.54/1.04 (![X0 : $i]:
% 0.54/1.04 ( (visFreeVar @ sk__74 @ ve1app)
% 0.54/1.04 | (visFreeVar @ sk__74 @ (vapp @ X0 @ ve2app)))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl810, zip_derived_cl238])).
% 0.54/1.04 thf(zip_derived_cl157, plain,
% 0.54/1.04 (~ (visFreeVar @ sk__74 @ (vapp @ ve1app @ ve2app))),
% 0.54/1.04 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.54/1.04 thf(zip_derived_cl817, plain, ( (visFreeVar @ sk__74 @ ve1app)),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl812, zip_derived_cl157])).
% 0.54/1.04 thf(zip_derived_cl21, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.54/1.04 (((X1) != (X0))
% 0.54/1.04 | ((X4) != (vapp @ X2 @ X3))
% 0.54/1.04 | (visFreeVar @ X1 @ X4)
% 0.54/1.04 | ~ (visFreeVar @ X0 @ X2))),
% 0.54/1.04 inference('cnf', [status(esa)], [isFreeVar2])).
% 0.54/1.04 thf(zip_derived_cl222, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.54/1.04 (~ (visFreeVar @ X1 @ X0)
% 0.54/1.04 | (visFreeVar @ X1 @ X2)
% 0.54/1.04 | ((X2) != (vapp @ X0 @ X3)))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl21])).
% 0.54/1.04 thf(zip_derived_cl237, plain,
% 0.54/1.04 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.54/1.04 ( (visFreeVar @ X2 @ (vapp @ X1 @ X0)) | ~ (visFreeVar @ X2 @ X1))),
% 0.54/1.04 inference('eq_res', [status(thm)], [zip_derived_cl222])).
% 0.54/1.04 thf(zip_derived_cl818, plain,
% 0.54/1.04 (![X0 : $i]: (visFreeVar @ sk__74 @ (vapp @ ve1app @ X0))),
% 0.54/1.04 inference('s_sup-', [status(thm)], [zip_derived_cl817, zip_derived_cl237])).
% 0.54/1.04 thf(zip_derived_cl820, plain, ($false),
% 0.54/1.04 inference('demod', [status(thm)], [zip_derived_cl157, zip_derived_cl818])).
% 0.54/1.04
% 0.54/1.04 % SZS output end Refutation
% 0.54/1.04
% 0.54/1.04
% 0.54/1.04 % Terminating...
% 3.51/1.15 % Runner terminated.
% 3.51/1.16 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------