%------------------------------------------------------------------------------
% File : Zipperpin---2.1.9999
% Problem : COM137+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.W6vsmqgZT5 true
% Computer : n029.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 0.57s 0.99s
% Output : Refutation 0.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : COM137+1 : TPTP v9.2.0. Released v6.4.0.
% 0.06/0.13 % Command : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.W6vsmqgZT5 true
% 0.14/0.34 % Computer : n029.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Wed Oct 1 13:49:08 EDT 2025
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running portfolio for 300 s
% 0.14/0.35 % File : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.35 % Number of cores: 8
% 0.14/0.35 % Python version: Python 3.6.8
% 0.14/0.35 % Running in FO mode
% 0.56/0.63 % Total configuration time : 435
% 0.56/0.63 % Estimated wc time : 1092
% 0.56/0.63 % Estimated cpu time (7 cpus) : 156.0
% 0.56/0.70 % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.56/0.73 % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.56/0.74 % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.56/0.75 % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 0.57/0.99 % Solved by fo/fo13.sh.
% 0.57/0.99 % done 317 iterations in 0.224s
% 0.57/0.99 % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 0.57/0.99 % SZS output start Refutation
% 0.57/0.99 thf(vabs_type, type, vabs: $i > $i > $i > $i).
% 0.57/0.99 thf(sk__71_type, type, sk__71: $i > $i > $i > $i).
% 0.57/0.99 thf(vsomeType_type, type, vsomeType: $i > $i).
% 0.57/0.99 thf(zip_tseitin_17_type, type, zip_tseitin_17: $i > $i > $i > $i > $i > $i >
% 0.57/0.99 $i > $o).
% 0.57/0.99 thf(sk__75_type, type, sk__75: $i).
% 0.57/0.99 thf(sk__69_type, type, sk__69: $i > $i > $i > $i).
% 0.57/0.99 thf(vbind_type, type, vbind: $i > $i > $i > $i).
% 0.57/0.99 thf(vvar_type, type, vvar: $i > $i).
% 0.57/0.99 thf(varrow_type, type, varrow: $i > $i > $i).
% 0.57/0.99 thf(sk__68_type, type, sk__68: $i > $i > $i > $i).
% 0.57/0.99 thf(vlookup_type, type, vlookup: $i > $i > $i).
% 0.57/0.99 thf(zip_tseitin_18_type, type, zip_tseitin_18: $i > $i > $i > $i > $o).
% 0.57/0.99 thf(sk__70_type, type, sk__70: $i > $i > $i > $i).
% 0.57/0.99 thf(ve1app_type, type, ve1app: $i).
% 0.57/0.99 thf(sk__77_type, type, sk__77: $i).
% 0.57/0.99 thf(sk__73_type, type, sk__73: $i > $i > $i > $i).
% 0.57/0.99 thf(vtcheck_type, type, vtcheck: $i > $i > $i > $o).
% 0.57/0.99 thf(sk__74_type, type, sk__74: $i).
% 0.57/0.99 thf(visFreeVar_type, type, visFreeVar: $i > $i > $o).
% 0.57/0.99 thf(sk__66_type, type, sk__66: $i > $i > $i > $i).
% 0.57/0.99 thf(zip_tseitin_16_type, type, zip_tseitin_16: $i > $i > $i > $i > $i > $i > $o).
% 0.57/0.99 thf(sk__72_type, type, sk__72: $i > $i > $i > $i).
% 0.57/0.99 thf(sk__67_type, type, sk__67: $i > $i > $i > $i).
% 0.57/0.99 thf(ve2app_type, type, ve2app: $i).
% 0.57/0.99 thf(sk__76_type, type, sk__76: $i).
% 0.57/0.99 thf(vapp_type, type, vapp: $i > $i > $i).
% 0.57/0.99 thf('T-Strong-app', conjecture,
% 0.57/0.99 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.57/0.99 ( ( ( ~( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) ) ) &
% 0.57/0.99 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ) =>
% 0.57/0.99 ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) ))).
% 0.57/0.99 thf(zf_stmt_0, negated_conjecture,
% 0.57/0.99 (~( ![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.57/0.99 ( ( ( ~( visFreeVar @ Vx @ ( vapp @ ve1app @ ve2app ) ) ) &
% 0.57/0.99 ( vtcheck @
% 0.57/0.99 ( vbind @ Vx @ VS @ VC ) @ ( vapp @ ve1app @ ve2app ) @ VT ) ) =>
% 0.57/0.99 ( vtcheck @ VC @ ( vapp @ ve1app @ ve2app ) @ VT ) ) )),
% 0.57/0.99 inference('cnf.neg', [status(esa)], [T-Strong-app])).
% 0.57/0.99 thf(zip_derived_cl156, plain,
% 0.57/0.99 (~ (visFreeVar @ sk__74 @ (vapp @ ve1app @ ve2app))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.99 thf(zip_derived_cl155, plain,
% 0.57/0.99 ( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @
% 0.57/0.99 (vapp @ ve1app @ ve2app) @ sk__77)),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.99 thf('T-inv', axiom,
% 0.57/0.99 (![Ve:$i,VT:$i,VC:$i]:
% 0.57/0.99 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 0.57/0.99 ( ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 0.57/0.99 ( ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) &
% 0.57/0.99 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.57/0.99 ( vtcheck @ VC @ Ve2 @ VS ) ) ) |
% 0.57/0.99 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 0.57/0.99 ( ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) &
% 0.57/0.99 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 0.57/0.99 ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) ) ) |
% 0.57/0.99 ( ?[Vx:$i]:
% 0.57/0.99 ( ( ( Ve ) = ( vvar @ Vx ) ) &
% 0.57/0.99 ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) ) ) ) ))).
% 0.57/0.99 thf(zf_stmt_1, type, zip_tseitin_18 : $i > $i > $i > $i > $o).
% 0.57/0.99 thf(zf_stmt_2, axiom,
% 0.57/0.99 (![Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 0.57/0.99 ( ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) =>
% 0.57/0.99 ( ( ( vlookup @ Vx @ VC ) = ( vsomeType @ VT ) ) &
% 0.57/0.99 ( ( Ve ) = ( vvar @ Vx ) ) ) ))).
% 0.57/0.99 thf(zf_stmt_3, type, zip_tseitin_17 : $i > $i > $i > $i > $i > $i > $i > $o).
% 0.57/0.99 thf(zf_stmt_4, axiom,
% 0.57/0.99 (![VT2:$i,VT1:$i,Ve2:$i,Vx:$i,VC:$i,VT:$i,Ve:$i]:
% 0.57/0.99 ( ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) =>
% 0.57/0.99 ( ( vtcheck @ ( vbind @ Vx @ VT1 @ VC ) @ Ve2 @ VT2 ) &
% 0.57/0.99 ( ( VT ) = ( varrow @ VT1 @ VT2 ) ) &
% 0.57/0.99 ( ( Ve ) = ( vabs @ Vx @ VT1 @ Ve2 ) ) ) ))).
% 0.57/0.99 thf(zf_stmt_5, type, zip_tseitin_16 : $i > $i > $i > $i > $i > $i > $o).
% 0.57/0.99 thf(zf_stmt_6, axiom,
% 0.57/0.99 (![VS:$i,Ve2:$i,Ve1:$i,VC:$i,VT:$i,Ve:$i]:
% 0.57/0.99 ( ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) =>
% 0.57/0.99 ( ( vtcheck @ VC @ Ve2 @ VS ) &
% 0.57/0.99 ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.57/0.99 ( ( Ve ) = ( vapp @ Ve1 @ Ve2 ) ) ) ))).
% 0.57/0.99 thf(zf_stmt_7, axiom,
% 0.57/0.99 (![Ve:$i,VT:$i,VC:$i]:
% 0.57/0.99 ( ( vtcheck @ VC @ Ve @ VT ) =>
% 0.57/0.99 ( ( ?[Vx:$i]: ( zip_tseitin_18 @ Vx @ VC @ VT @ Ve ) ) |
% 0.57/0.99 ( ?[Vx:$i,Ve2:$i,VT1:$i,VT2:$i]:
% 0.57/0.99 ( zip_tseitin_17 @ VT2 @ VT1 @ Ve2 @ Vx @ VC @ VT @ Ve ) ) |
% 0.57/0.99 ( ?[Ve1:$i,Ve2:$i,VS:$i]:
% 0.57/0.99 ( zip_tseitin_16 @ VS @ Ve2 @ Ve1 @ VC @ VT @ Ve ) ) ) ))).
% 0.57/0.99 thf(zip_derived_cl150, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.99 ( (zip_tseitin_16 @ (sk__68 @ X0 @ X1 @ X2) @
% 0.57/0.99 (sk__67 @ X0 @ X1 @ X2) @ (sk__66 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.57/0.99 | (zip_tseitin_17 @ (sk__72 @ X0 @ X1 @ X2) @
% 0.57/0.99 (sk__71 @ X0 @ X1 @ X2) @ (sk__70 @ X0 @ X1 @ X2) @
% 0.57/0.99 (sk__69 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.57/0.99 | (zip_tseitin_18 @ (sk__73 @ X0 @ X1 @ X2) @ X0 @ X1 @ X2)
% 0.57/0.99 | ~ (vtcheck @ X0 @ X2 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_7])).
% 0.57/0.99 thf(zip_derived_cl436, plain,
% 0.57/0.99 (( (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_17 @
% 0.57/0.99 (sk__72 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__71 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__70 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__69 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl155, zip_derived_cl150])).
% 0.57/0.99 thf(zip_derived_cl147, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i, X6 : $i]:
% 0.57/0.99 (((X3) = (vabs @ X0 @ X1 @ X2))
% 0.57/0.99 | ~ (zip_tseitin_17 @ X4 @ X1 @ X2 @ X0 @ X5 @ X6 @ X3))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_4])).
% 0.57/0.99 thf(zip_derived_cl444, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vabs @
% 0.57/0.99 (sk__69 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__71 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__70 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl436, zip_derived_cl147])).
% 0.57/0.99 thf('DIFF-abs-app', axiom,
% 0.57/0.99 (![VVar0:$i,VTyp0:$i,VExp0:$i,VExp1:$i,VExp2:$i]:
% 0.57/0.99 ( ( vabs @ VVar0 @ VTyp0 @ VExp0 ) != ( vapp @ VExp1 @ VExp2 ) ))).
% 0.57/0.99 thf(zip_derived_cl11, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.99 ((vabs @ X2 @ X3 @ X4) != (vapp @ X0 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [DIFF-abs-app])).
% 0.57/0.99 thf(zip_derived_cl445, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl444, zip_derived_cl11])).
% 0.57/0.99 thf(zip_derived_cl445, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl444, zip_derived_cl11])).
% 0.57/0.99 thf(zip_derived_cl144, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.99 (((X2) = (vapp @ X0 @ X1))
% 0.57/0.99 | ~ (zip_tseitin_16 @ X3 @ X1 @ X0 @ X4 @ X5 @ X2))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.99 thf(zip_derived_cl448, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vapp @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl445, zip_derived_cl144])).
% 0.57/0.99 thf('EQ-app', axiom,
% 0.57/0.99 (![VExp0:$i,VExp1:$i,VExp2:$i,VExp3:$i]:
% 0.57/0.99 ( ( ( ( ( VExp0 ) = ( VExp2 ) ) & ( ( VExp1 ) = ( VExp3 ) ) ) =>
% 0.57/0.99 ( ( vapp @ VExp0 @ VExp1 ) = ( vapp @ VExp2 @ VExp3 ) ) ) &
% 0.57/0.99 ( ( ( vapp @ VExp0 @ VExp1 ) = ( vapp @ VExp2 @ VExp3 ) ) =>
% 0.57/0.99 ( ( ( VExp0 ) = ( VExp2 ) ) & ( ( VExp1 ) = ( VExp3 ) ) ) ) ))).
% 0.57/0.99 thf(zip_derived_cl6, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (X0)) | ((vapp @ X1 @ X3) != (vapp @ X0 @ X2)))),
% 0.57/0.99 inference('cnf', [status(esa)], [EQ-app])).
% 0.57/0.99 thf(zip_derived_cl450, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i]:
% 0.57/0.99 ( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | ((X1)
% 0.57/0.99 = (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | ((vapp @ X1 @ X0) != (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl448, zip_derived_cl6])).
% 0.57/0.99 thf(zip_derived_cl473, plain,
% 0.57/0.99 ((((ve1app)
% 0.57/0.99 = (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl450])).
% 0.57/0.99 thf(zip_derived_cl149, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.99 thf(zip_derived_cl485, plain,
% 0.57/0.99 ((((ve1app)
% 0.57/0.99 = (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vvar @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl473, zip_derived_cl149])).
% 0.57/0.99 thf('DIFF-var-app', axiom,
% 0.57/0.99 (![VVar0:$i,VExp0:$i,VExp1:$i]:
% 0.57/0.99 ( ( vvar @ VVar0 ) != ( vapp @ VExp0 @ VExp1 ) ))).
% 0.57/0.99 thf(zip_derived_cl10, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.57/0.99 thf(zip_derived_cl486, plain,
% 0.57/0.99 (((ve1app)
% 0.57/0.99 = (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl485, zip_derived_cl10])).
% 0.57/0.99 thf(zip_derived_cl487, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 ve1app @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('demod', [status(thm)], [zip_derived_cl445, zip_derived_cl486])).
% 0.57/0.99 thf(zip_derived_cl448, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vapp @
% 0.57/0.99 (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl445, zip_derived_cl144])).
% 0.57/0.99 thf(zip_derived_cl486, plain,
% 0.57/0.99 (((ve1app)
% 0.57/0.99 = (sk__66 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl485, zip_derived_cl10])).
% 0.57/0.99 thf(zip_derived_cl488, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vapp @ ve1app @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('demod', [status(thm)], [zip_derived_cl448, zip_derived_cl486])).
% 0.57/0.99 thf(zip_derived_cl149, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.99 thf(zip_derived_cl492, plain,
% 0.57/0.99 ((((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vapp @ ve1app @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vvar @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl488, zip_derived_cl149])).
% 0.57/0.99 thf(zip_derived_cl10, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.57/0.99 thf(zip_derived_cl493, plain,
% 0.57/0.99 (((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vapp @ ve1app @
% 0.57/0.99 (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl492, zip_derived_cl10])).
% 0.57/0.99 thf(zip_derived_cl7, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (X0)) | ((vapp @ X3 @ X1) != (vapp @ X2 @ X0)))),
% 0.57/0.99 inference('cnf', [status(esa)], [EQ-app])).
% 0.57/0.99 thf(zip_derived_cl496, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i]:
% 0.57/0.99 (((X0)
% 0.57/0.99 = (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | ((vapp @ X1 @ X0) != (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl493, zip_derived_cl7])).
% 0.57/0.99 thf(zip_derived_cl516, plain,
% 0.57/0.99 (((ve2app)
% 0.57/0.99 = (sk__67 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl496])).
% 0.57/0.99 thf(zip_derived_cl540, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 ve2app @ ve1app @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('demod', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 0.57/0.99 thf(zip_derived_cl143, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.99 ( (vtcheck @ X0 @ X1 @ (varrow @ X2 @ X3))
% 0.57/0.99 | ~ (zip_tseitin_16 @ X2 @ X4 @ X1 @ X0 @ X3 @ X5))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.99 thf(zip_derived_cl542, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve1app @
% 0.57/0.99 (varrow @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 sk__77)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl540, zip_derived_cl143])).
% 0.57/0.99 thf(zip_derived_cl149, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.99 thf(zip_derived_cl580, plain,
% 0.57/0.99 (( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve1app @
% 0.57/0.99 (varrow @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 sk__77))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vvar @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl542, zip_derived_cl149])).
% 0.57/0.99 thf(zip_derived_cl10, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.57/0.99 thf(zip_derived_cl581, plain,
% 0.57/0.99 ( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve1app @
% 0.57/0.99 (varrow @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 sk__77))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl580, zip_derived_cl10])).
% 0.57/0.99 thf('T-Strong-app-IH1', axiom,
% 0.57/0.99 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.57/0.99 ( ( ( ~( visFreeVar @ Vx @ ve1app ) ) &
% 0.57/0.99 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve1app @ VT ) ) =>
% 0.57/0.99 ( vtcheck @ VC @ ve1app @ VT ) ))).
% 0.57/0.99 thf(zip_derived_cl152, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 ( (visFreeVar @ X0 @ ve1app)
% 0.57/0.99 | ~ (vtcheck @ (vbind @ X0 @ X1 @ X2) @ ve1app @ X3)
% 0.57/0.99 | (vtcheck @ X2 @ ve1app @ X3))),
% 0.57/0.99 inference('cnf', [status(esa)], [T-Strong-app-IH1])).
% 0.57/0.99 thf(zip_derived_cl585, plain,
% 0.57/0.99 (( (visFreeVar @ sk__74 @ ve1app)
% 0.57/0.99 | (vtcheck @ sk__76 @ ve1app @
% 0.57/0.99 (varrow @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 sk__77)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl581, zip_derived_cl152])).
% 0.57/0.99 thf('T-app', axiom,
% 0.57/0.99 (![VS:$i,VC:$i,Ve1:$i,Ve2:$i,VT:$i]:
% 0.57/0.99 ( ( ( vtcheck @ VC @ Ve1 @ ( varrow @ VS @ VT ) ) &
% 0.57/0.99 ( vtcheck @ VC @ Ve2 @ VS ) ) =>
% 0.57/0.99 ( vtcheck @ VC @ ( vapp @ Ve1 @ Ve2 ) @ VT ) ))).
% 0.57/0.99 thf(zip_derived_cl141, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.99 (~ (vtcheck @ X0 @ X1 @ X2)
% 0.57/0.99 | ~ (vtcheck @ X0 @ X3 @ (varrow @ X2 @ X4))
% 0.57/0.99 | (vtcheck @ X0 @ (vapp @ X3 @ X1) @ X4))),
% 0.57/0.99 inference('cnf', [status(esa)], [T-app])).
% 0.57/0.99 thf(zip_derived_cl587, plain,
% 0.57/0.99 (![X0 : $i]:
% 0.57/0.99 ( (visFreeVar @ sk__74 @ ve1app)
% 0.57/0.99 | ~ (vtcheck @ sk__76 @ X0 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | (vtcheck @ sk__76 @ (vapp @ ve1app @ X0) @ sk__77))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl585, zip_derived_cl141])).
% 0.57/0.99 thf(zip_derived_cl540, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (zip_tseitin_16 @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 ve2app @ ve1app @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('demod', [status(thm)], [zip_derived_cl487, zip_derived_cl516])).
% 0.57/0.99 thf(zip_derived_cl142, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i, X5 : $i]:
% 0.57/0.99 ( (vtcheck @ X0 @ X1 @ X2)
% 0.57/0.99 | ~ (zip_tseitin_16 @ X2 @ X1 @ X3 @ X0 @ X4 @ X5))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_6])).
% 0.57/0.99 thf(zip_derived_cl541, plain,
% 0.57/0.99 (( (zip_tseitin_18 @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)) @
% 0.57/0.99 (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))
% 0.57/0.99 | (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve2app @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl540, zip_derived_cl142])).
% 0.57/0.99 thf(zip_derived_cl149, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (((X1) = (vvar @ X0)) | ~ (zip_tseitin_18 @ X0 @ X2 @ X3 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_2])).
% 0.57/0.99 thf(zip_derived_cl545, plain,
% 0.57/0.99 (( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve2app @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))
% 0.57/0.99 | ((vapp @ ve1app @ ve2app)
% 0.57/0.99 = (vvar @
% 0.57/0.99 (sk__73 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl541, zip_derived_cl149])).
% 0.57/0.99 thf(zip_derived_cl10, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]: ((vvar @ X2) != (vapp @ X0 @ X1))),
% 0.57/0.99 inference('cnf', [status(esa)], [DIFF-var-app])).
% 0.57/0.99 thf(zip_derived_cl546, plain,
% 0.57/0.99 ( (vtcheck @ (vbind @ sk__74 @ sk__75 @ sk__76) @ ve2app @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app)))),
% 0.57/0.99 inference('simplify_reflect-', [status(thm)],
% 0.57/0.99 [zip_derived_cl545, zip_derived_cl10])).
% 0.57/0.99 thf('T-Strong-app-IH2', axiom,
% 0.57/0.99 (![Vx:$i,VS:$i,VC:$i,VT:$i]:
% 0.57/0.99 ( ( ( ~( visFreeVar @ Vx @ ve2app ) ) &
% 0.57/0.99 ( vtcheck @ ( vbind @ Vx @ VS @ VC ) @ ve2app @ VT ) ) =>
% 0.57/0.99 ( vtcheck @ VC @ ve2app @ VT ) ))).
% 0.57/0.99 thf(zip_derived_cl153, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 ( (visFreeVar @ X0 @ ve2app)
% 0.57/0.99 | ~ (vtcheck @ (vbind @ X0 @ X1 @ X2) @ ve2app @ X3)
% 0.57/0.99 | (vtcheck @ X2 @ ve2app @ X3))),
% 0.57/0.99 inference('cnf', [status(esa)], [T-Strong-app-IH2])).
% 0.57/0.99 thf(zip_derived_cl549, plain,
% 0.57/0.99 (( (visFreeVar @ sk__74 @ ve2app)
% 0.57/0.99 | (vtcheck @ sk__76 @ ve2app @
% 0.57/0.99 (sk__68 @ (vbind @ sk__74 @ sk__75 @ sk__76) @ sk__77 @
% 0.57/0.99 (vapp @ ve1app @ ve2app))))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl546, zip_derived_cl153])).
% 0.57/0.99 thf(zip_derived_cl599, plain,
% 0.57/0.99 (( (vtcheck @ sk__76 @ (vapp @ ve1app @ ve2app) @ sk__77)
% 0.57/0.99 | (visFreeVar @ sk__74 @ ve1app)
% 0.57/0.99 | (visFreeVar @ sk__74 @ ve2app))),
% 0.57/0.99 inference('s_sup+', [status(thm)], [zip_derived_cl587, zip_derived_cl549])).
% 0.57/0.99 thf(zip_derived_cl154, plain,
% 0.57/0.99 (~ (vtcheck @ sk__76 @ (vapp @ ve1app @ ve2app) @ sk__77)),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.99 thf(zip_derived_cl602, plain,
% 0.57/0.99 (( (visFreeVar @ sk__74 @ ve2app) | (visFreeVar @ sk__74 @ ve1app))),
% 0.57/0.99 inference('clc', [status(thm)], [zip_derived_cl599, zip_derived_cl154])).
% 0.57/0.99 thf(isFreeVar2, axiom,
% 0.57/0.99 (![VVar0:$i,VExp0:$i,Ve1:$i,Vv:$i,Ve2:$i]:
% 0.57/0.99 ( ( ( ( VVar0 ) = ( Vv ) ) & ( ( VExp0 ) = ( vapp @ Ve1 @ Ve2 ) ) ) =>
% 0.57/0.99 ( ( ( ( visFreeVar @ Vv @ Ve1 ) | ( visFreeVar @ Vv @ Ve2 ) ) =>
% 0.57/0.99 ( visFreeVar @ VVar0 @ VExp0 ) ) &
% 0.57/0.99 ( ( visFreeVar @ VVar0 @ VExp0 ) =>
% 0.57/0.99 ( ( visFreeVar @ Vv @ Ve1 ) | ( visFreeVar @ Vv @ Ve2 ) ) ) ) ))).
% 0.57/0.99 thf(zip_derived_cl22, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.99 (((X1) != (X0))
% 0.57/0.99 | ((X4) != (vapp @ X2 @ X3))
% 0.57/0.99 | (visFreeVar @ X1 @ X4)
% 0.57/0.99 | ~ (visFreeVar @ X0 @ X3))),
% 0.57/0.99 inference('cnf', [status(esa)], [isFreeVar2])).
% 0.57/0.99 thf(zip_derived_cl235, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (~ (visFreeVar @ X1 @ X0)
% 0.57/0.99 | (visFreeVar @ X1 @ X2)
% 0.57/0.99 | ((X2) != (vapp @ X3 @ X0)))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl22])).
% 0.57/0.99 thf(zip_derived_cl240, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.99 ( (visFreeVar @ X2 @ (vapp @ X1 @ X0)) | ~ (visFreeVar @ X2 @ X0))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl235])).
% 0.57/0.99 thf(zip_derived_cl604, plain,
% 0.57/0.99 (![X0 : $i]:
% 0.57/0.99 ( (visFreeVar @ sk__74 @ ve1app)
% 0.57/0.99 | (visFreeVar @ sk__74 @ (vapp @ X0 @ ve2app)))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl602, zip_derived_cl240])).
% 0.57/0.99 thf(zip_derived_cl156, plain,
% 0.57/0.99 (~ (visFreeVar @ sk__74 @ (vapp @ ve1app @ ve2app))),
% 0.57/0.99 inference('cnf', [status(esa)], [zf_stmt_0])).
% 0.57/0.99 thf(zip_derived_cl609, plain, ( (visFreeVar @ sk__74 @ ve1app)),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl604, zip_derived_cl156])).
% 0.57/0.99 thf(zip_derived_cl21, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i, X4 : $i]:
% 0.57/0.99 (((X1) != (X0))
% 0.57/0.99 | ((X4) != (vapp @ X2 @ X3))
% 0.57/0.99 | (visFreeVar @ X1 @ X4)
% 0.57/0.99 | ~ (visFreeVar @ X0 @ X2))),
% 0.57/0.99 inference('cnf', [status(esa)], [isFreeVar2])).
% 0.57/0.99 thf(zip_derived_cl223, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i, X3 : $i]:
% 0.57/0.99 (~ (visFreeVar @ X1 @ X0)
% 0.57/0.99 | (visFreeVar @ X1 @ X2)
% 0.57/0.99 | ((X2) != (vapp @ X0 @ X3)))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl21])).
% 0.57/0.99 thf(zip_derived_cl239, plain,
% 0.57/0.99 (![X0 : $i, X1 : $i, X2 : $i]:
% 0.57/0.99 ( (visFreeVar @ X2 @ (vapp @ X1 @ X0)) | ~ (visFreeVar @ X2 @ X1))),
% 0.57/0.99 inference('eq_res', [status(thm)], [zip_derived_cl223])).
% 0.57/0.99 thf(zip_derived_cl610, plain,
% 0.57/0.99 (![X0 : $i]: (visFreeVar @ sk__74 @ (vapp @ ve1app @ X0))),
% 0.57/0.99 inference('s_sup-', [status(thm)], [zip_derived_cl609, zip_derived_cl239])).
% 0.57/0.99 thf(zip_derived_cl612, plain, ($false),
% 0.57/0.99 inference('demod', [status(thm)], [zip_derived_cl156, zip_derived_cl610])).
% 0.57/0.99
% 0.57/0.99 % SZS output end Refutation
% 0.57/0.99
% 0.57/0.99
% 0.57/0.99 % Terminating...
% 0.57/1.05 % Runner terminated.
% 0.57/1.06 % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------