TSTP Solution File: SWW478+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n017.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 : Fri Sep 1 00:50:30 EDT 2023
% Result : Theorem 30.63s 4.97s
% Output : Proof 41.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWW478+1 : TPTP v8.1.2. Released v5.3.0.
% 0.08/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.15/0.36 % Computer : n017.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun Aug 27 21:14:12 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.23/0.67 ________ _____
% 0.23/0.67 ___ __ \_________(_)________________________________
% 0.23/0.67 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.23/0.67 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.23/0.67 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.23/0.67
% 0.23/0.67 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.23/0.67 (2023-06-19)
% 0.23/0.67
% 0.23/0.67 (c) Philipp Rümmer, 2009-2023
% 0.23/0.67 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.23/0.67 Amanda Stjerna.
% 0.23/0.67 Free software under BSD-3-Clause.
% 0.23/0.67
% 0.23/0.67 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.23/0.67
% 0.23/0.67 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.23/0.68 Running up to 7 provers in parallel.
% 0.23/0.70 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.23/0.70 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.23/0.70 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.23/0.70 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.23/0.70 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.23/0.70 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.23/0.70 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 8.32/1.97 Prover 4: Preprocessing ...
% 8.32/1.98 Prover 1: Preprocessing ...
% 8.75/2.00 Prover 6: Preprocessing ...
% 8.75/2.00 Prover 3: Preprocessing ...
% 8.75/2.01 Prover 5: Preprocessing ...
% 8.75/2.01 Prover 0: Preprocessing ...
% 8.75/2.02 Prover 2: Preprocessing ...
% 26.27/4.41 Prover 1: Warning: ignoring some quantifiers
% 26.27/4.47 Prover 4: Warning: ignoring some quantifiers
% 27.90/4.58 Prover 3: Warning: ignoring some quantifiers
% 28.63/4.72 Prover 3: Constructing countermodel ...
% 28.63/4.72 Prover 1: Constructing countermodel ...
% 29.08/4.78 Prover 4: Constructing countermodel ...
% 29.08/4.79 Prover 6: Proving ...
% 29.95/4.87 Prover 0: Proving ...
% 29.95/4.89 Prover 5: Proving ...
% 30.63/4.96 Prover 3: proved (4267ms)
% 30.63/4.96
% 30.63/4.97 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 30.63/4.97
% 30.63/4.97 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 30.63/4.97 Prover 0: stopped
% 30.84/4.99 Prover 6: stopped
% 30.84/4.99 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 30.84/4.99 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 30.84/5.00 Prover 5: stopped
% 30.84/5.00 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 33.54/5.40 Prover 7: Preprocessing ...
% 33.54/5.41 Prover 11: Preprocessing ...
% 34.42/5.52 Prover 10: Preprocessing ...
% 34.42/5.52 Prover 8: Preprocessing ...
% 36.38/5.78 Prover 4: Found proof (size 65)
% 36.38/5.78 Prover 4: proved (5089ms)
% 36.38/5.78 Prover 1: Found proof (size 65)
% 36.38/5.78 Prover 1: proved (5093ms)
% 36.38/5.84 Prover 11: stopped
% 36.38/5.85 Prover 10: stopped
% 36.38/5.86 Prover 7: stopped
% 39.34/6.29 Prover 8: Warning: ignoring some quantifiers
% 39.64/6.34 Prover 8: Constructing countermodel ...
% 39.64/6.35 Prover 8: stopped
% 39.82/6.45 Prover 2: Proving ...
% 39.82/6.45 Prover 2: stopped
% 39.82/6.45
% 39.82/6.45 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 39.82/6.45
% 39.82/6.47 % SZS output start Proof for theBenchmark
% 39.82/6.49 Assumptions after simplification:
% 39.82/6.49 ---------------------------------
% 39.82/6.49
% 39.82/6.49 (conj_0)
% 40.42/6.54 $i(p) & $i(h_a) & $i(e_a) & $i(v) & $i(la) & $i(ha) &
% 40.42/6.54 $i(produc899768717on_val) & $i(ea) & $i(produc1259058957on_val) &
% 40.42/6.54 $i(produc1441475159on_val) & $i(v_1) & $i(l_a) & ? [v0: $i] : ? [v1: $i] :
% 40.42/6.54 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 40.42/6.54 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 40.42/6.54 : ? [v13: $i] : ? [v14: int] : ( ~ (v14 = 0) & fun_up1149430426on_val(la,
% 40.42/6.54 v_1, v2) = v3 & hAPP_P1870962205on_val(produc1441475159on_val, v5) = v6 &
% 40.42/6.54 hAPP_e1659493427on_val(produc1259058957on_val, e_a) = v7 &
% 40.42/6.54 hAPP_e1659493427on_val(produc1259058957on_val, ea) = v0 &
% 40.42/6.54 hAPP_f1849790461on_val(produc899768717on_val, h_a) = v8 &
% 40.42/6.54 hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 40.42/6.54 hAPP_f1727192346on_val(v8, l_a) = v9 & hAPP_f1727192346on_val(v1, v3) = v4 &
% 40.42/6.54 hAPP_P604205461on_val(v7, v9) = v10 & hAPP_P604205461on_val(v0, v4) = v5 &
% 40.42/6.54 hAPP_P1886180715on_val(v6, v10) = v11 & red(p) = v12 & hBOOL(v13) = v14 &
% 40.42/6.54 some_val(v) = v2 & member773094996on_val(v11, v12) = v13 & $i(v13) & $i(v12)
% 40.42/6.54 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 40.42/6.54 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.42/6.54
% 40.42/6.54 (fact_11_InitBlockRed_I2_J)
% 40.42/6.54 $i(p) & $i(h_a) & $i(e_a) & $i(v) & $i(la) & $i(ha) &
% 40.42/6.55 $i(produc899768717on_val) & $i(ea) & $i(v_1) & ? [v0: $i] : ? [v1: $i] : ?
% 40.42/6.55 [v2: $i] : ? [v3: $i] : (fun_up1149430426on_val(la, v_1, v1) = v2 &
% 40.42/6.55 hAPP_f1849790461on_val(produc899768717on_val, ha) = v0 &
% 40.42/6.55 hAPP_f1727192346on_val(v0, v2) = v3 & some_val(v) = v1 & $i(v3) & $i(v2) &
% 40.42/6.55 $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ (wTrt(p, ha,
% 40.42/6.55 v5, ea, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ? [v7: $i] : ? [v8: $i]
% 40.42/6.55 : ? [v9: any] : ? [v10: any] : ? [v11: $i] : ? [v12: $i] : ? [v13:
% 40.42/6.55 int] : ? [v14: $i] : ? [v15: int] : ($i(v11) & ((v15 = 0 & v13 = 0 &
% 40.42/6.55 hBOOL(v14) = 0 & hBOOL(v12) = 0 & wTrt(p, h_a, v5, e_a, v11) = v12 &
% 40.42/6.55 widen_2090681816t_char(p, v11, v4) = v14 & $i(v14) & $i(v12)) |
% 40.42/6.55 (typeSa1234865140_sconf(p, v5) = v7 & hBOOL(v8) = v9 & hBOOL(v6) = v10
% 40.42/6.55 & hAPP_P159683425l_bool(v7, v3) = v8 & $i(v8) & $i(v7) & ( ~ (v10 =
% 40.42/6.55 0) | ~ (v9 = 0)))))))
% 40.42/6.55
% 40.42/6.55 (fact_14_InitBlockRed_I4_J)
% 40.42/6.55 $i(e) & $i(p) & $i(la) & $i(ha) & $i(produc899768717on_val) & ? [v0: $i] : ?
% 40.42/6.55 [v1: $i] : ? [v2: $i] : ? [v3: $i] : (typeSa1234865140_sconf(p, e) = v0 &
% 40.42/6.55 hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 40.42/6.55 hAPP_f1727192346on_val(v1, la) = v2 & hBOOL(v3) = 0 &
% 40.42/6.55 hAPP_P159683425l_bool(v0, v2) = v3 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.42/6.55
% 40.42/6.55 (fact_1_InitBlockRed_I1_J)
% 40.42/6.55 $i(p) & $i(h_a) & $i(e_a) & $i(v) & $i(la) & $i(ha) &
% 40.42/6.55 $i(produc899768717on_val) & $i(ea) & $i(produc1259058957on_val) &
% 40.42/6.55 $i(produc1441475159on_val) & $i(v_1) & $i(l_a) & ? [v0: $i] : ? [v1: $i] :
% 40.42/6.55 ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7:
% 40.42/6.55 $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? [v12: $i]
% 40.42/6.55 : ? [v13: $i] : (fun_up1149430426on_val(la, v_1, v2) = v3 &
% 40.42/6.55 hAPP_P1870962205on_val(produc1441475159on_val, v5) = v6 &
% 40.42/6.55 hAPP_e1659493427on_val(produc1259058957on_val, e_a) = v7 &
% 40.42/6.55 hAPP_e1659493427on_val(produc1259058957on_val, ea) = v0 &
% 40.42/6.55 hAPP_f1849790461on_val(produc899768717on_val, h_a) = v8 &
% 40.42/6.55 hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 40.42/6.55 hAPP_f1727192346on_val(v8, l_a) = v9 & hAPP_f1727192346on_val(v1, v3) = v4 &
% 40.42/6.55 hAPP_P604205461on_val(v7, v9) = v10 & hAPP_P604205461on_val(v0, v4) = v5 &
% 40.42/6.55 hAPP_P1886180715on_val(v6, v10) = v11 & red(p) = v12 & hBOOL(v13) = 0 &
% 40.42/6.55 some_val(v) = v2 & member773094996on_val(v11, v12) = v13 & $i(v13) & $i(v12)
% 40.42/6.55 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 40.42/6.55 $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.42/6.55
% 40.42/6.55 (function-axioms)
% 40.74/6.60 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 40.74/6.60 $i] : ! [v6: $i] : (v1 = v0 | ~ (wTrt(v6, v5, v4, v3, v2) = v1) | ~
% 40.74/6.60 (wTrt(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 40.74/6.60 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (redp(v4, v3, v2) = v1) | ~
% 40.74/6.60 (redp(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3:
% 40.74/6.60 $i] : ! [v4: $i] : (v1 = v0 | ~ (block_list_char(v4, v3, v2) = v1) | ~
% 40.74/6.60 (block_list_char(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.60 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (fun_up424764369ion_ty(v4,
% 40.74/6.60 v3, v2) = v1) | ~ (fun_up424764369ion_ty(v4, v3, v2) = v0)) & ! [v0:
% 40.74/6.60 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~
% 40.74/6.60 (fun_up1149430426on_val(v4, v3, v2) = v1) | ~ (fun_up1149430426on_val(v4,
% 40.74/6.60 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] :
% 40.74/6.60 ! [v4: $i] : (v1 = v0 | ~ (widen_2090681816t_char(v4, v3, v2) = v1) | ~
% 40.74/6.60 (widen_2090681816t_char(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.60 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P2083594489on_val(v3, v2) = v1) |
% 40.74/6.60 ~ (hAPP_P2083594489on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.60 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f600512025on_val(v3, v2) = v1) |
% 40.74/6.60 ~ (hAPP_f600512025on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.60 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f204771371l_bool(v3, v2) = v1) |
% 40.74/6.60 ~ (hAPP_f204771371l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.60 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_e108155315on_val(v3, v2) = v1) |
% 40.74/6.60 ~ (hAPP_e108155315on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f524589473l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f524589473l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f602593190on_val(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f602593190on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1840640125on_val(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1840640125on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1712766199l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1712766199l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f489055607l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f489055607l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1301559543l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1301559543l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1776198677on_val(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1776198677on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f318082871l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f318082871l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1926378906on_val(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1926378906on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1492320500l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1492320500l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1008932791l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1008932791l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1617787571l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1617787571l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f926562337l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f926562337l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2134824737l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f2134824737l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1145256474l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1145256474l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f181262431l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f181262431l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f603925568l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f603925568l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1074020887l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1074020887l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f833559503l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f833559503l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2144092865l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f2144092865l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2011777102l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f2011777102l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1276548047l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1276548047l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2135509569l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f2135509569l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f396019662l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f396019662l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1760682521l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1760682521l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_e592495499l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_e592495499l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1638898323l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1638898323l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f468299289l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f468299289l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_e500528395l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_e500528395l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1988153107l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1988153107l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1591648613l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f1591648613l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P678729081l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P678729081l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1953518277l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1953518277l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f444383845l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f444383845l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1826803705l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1826803705l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1134042693l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P1134042693l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P595502227l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_P595502227l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f10074679l_bool(v3, v2) = v1) |
% 40.74/6.61 ~ (hAPP_f10074679l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1725502637l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1725502637l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f439412817l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f439412817l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f365540729l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f365540729l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f639265145l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f639265145l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1342895119l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1342895119l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2057883639l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f2057883639l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1050935001l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1050935001l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1363667773l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1363667773l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1863694447l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1863694447l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1734879897l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1734879897l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f555424277l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f555424277l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1560238713l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1560238713l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2032347769l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f2032347769l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f641257349l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f641257349l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_b589554111l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_b589554111l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1308714617l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1308714617l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f917296015l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f917296015l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f546724245l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f546724245l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2052660463l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f2052660463l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1043869573l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1043869573l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f927043595l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f927043595l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f204556415on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f204556415on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P2024243179on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P2024243179on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1233687287l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1233687287l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f399538905l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f399538905l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f850751421l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f850751421l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1309113673on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1309113673on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f881985847l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f881985847l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1438732387l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1438732387l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1241216909l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1241216909l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f394183983on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f394183983on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1760219823on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P1760219823on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1825030711l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1825030711l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f516738477l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f516738477l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f653692369l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f653692369l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1520199827on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1520199827on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P789556885on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P789556885on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1930574389l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1930574389l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_e1833980889l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_e1833980889l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f635218277l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f635218277l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1116729363l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P1116729363l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f592397849l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f592397849l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1977633121l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1977633121l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f348318673l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f348318673l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1452292669l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1452292669l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1523875321l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1523875321l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f857351829l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f857351829l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f838396643l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f838396643l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f550652027l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f550652027l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (cOMBS_570216337l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (cOMBS_570216337l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1175813647l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1175813647l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2121594859l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f2121594859l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (lAss_list_char(v3, v2) = v1) | ~
% 40.74/6.61 (lAss_list_char(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 40.74/6.61 ! [v3: $i] : (v1 = v0 | ~ (seq_list_char(v3, v2) = v1) | ~
% 40.74/6.61 (seq_list_char(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 40.74/6.61 [v3: $i] : (v1 = v0 | ~ (hAPP_f1213370163y_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1213370163y_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f2060496320y_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f2060496320y_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (typeSa1234865140_sconf(v3, v2) = v1) | ~
% 40.74/6.61 (typeSa1234865140_sconf(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_l512744617ion_ty(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_l512744617ion_ty(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1870962205on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P1870962205on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_e1659493427on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_e1659493427on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1849790461on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1849790461on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1727192346on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1727192346on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P604205461on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P604205461on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1886180715on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P1886180715on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_l207779698on_val(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_l207779698on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (member773094996on_val(v3, v2) = v1) | ~
% 40.74/6.61 (member773094996on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (member763590124on_val(v3, v2) = v1) | ~
% 40.74/6.61 (member763590124on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (member840932460on_val(v3, v2) = v1) | ~
% 40.74/6.61 (member840932460on_val(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P282169671l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P282169671l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P159683425l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P159683425l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_P1708370145l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_P1708370145l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f61040418l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f61040418l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1033709212l_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1033709212l_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_f1001225811y_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_f1001225811y_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (hAPP_bool_bool(v3, v2) = v1) | ~
% 40.74/6.61 (hAPP_bool_bool(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 40.74/6.61 ! [v3: $i] : (v1 = v0 | ~ (wf_pro755087577t_char(v3, v2) = v1) | ~
% 40.74/6.61 (wf_pro755087577t_char(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : ! [v3: $i] : (v1 = v0 | ~ (assigned(v3, v2) = v1) | ~ (assigned(v3,
% 40.74/6.61 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.74/6.61 (cOMBK_1294242658t_char(v2) = v1) | ~ (cOMBK_1294242658t_char(v2) = v0)) &
% 40.74/6.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.74/6.61 (cOMBK_1097134891t_char(v2) = v1) | ~ (cOMBK_1097134891t_char(v2) = v0)) &
% 40.74/6.61 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (val_list_char(v2) =
% 40.74/6.61 v1) | ~ (val_list_char(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 40.74/6.61 $i] : (v1 = v0 | ~ (hp(v2) = v1) | ~ (hp(v2) = v0)) & ! [v0: $i] : !
% 40.74/6.61 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (lconf_496643946t_char(v2) = v1) | ~
% 40.74/6.61 (lconf_496643946t_char(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i]
% 40.74/6.61 : (v1 = v0 | ~ (hconf_97414254t_char(v2) = v1) | ~ (hconf_97414254t_char(v2)
% 40.74/6.61 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 40.74/6.61 (some_ty(v2) = v1) | ~ (some_ty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : (v1 = v0 | ~ (red(v2) = v1) | ~ (red(v2) = v0)) & ! [v0:
% 40.74/6.61 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 40.74/6.61 ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 40.74/6.61 [v2: $i] : (v1 = v0 | ~ (some_val(v2) = v1) | ~ (some_val(v2) = v0)) & !
% 40.74/6.61 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 40.74/6.61 | ~ (is_bool(v2) = v1) | ~ (is_bool(v2) = v0))
% 40.74/6.61
% 40.74/6.61 Further assumptions not needed in the proof:
% 40.74/6.61 --------------------------------------------
% 40.74/6.61 fact_0_InitBlockRed_I3_J, fact_100_splitE, fact_101_splitE, fact_102_splitE,
% 40.74/6.61 fact_103_WTrtBlock, fact_104_mem__splitI, fact_105_mem__splitI,
% 40.74/6.61 fact_106_mem__splitI, fact_107_mem__splitI, fact_108_mem__splitI,
% 40.74/6.61 fact_109_mem__splitI, fact_10_map__upd__eqD1, fact_110_WTrtSeq,
% 40.74/6.61 fact_111_red__reds_OSeqRed, fact_112_red__reds_OLAssRed,
% 40.74/6.61 fact_113_red__reds_ORedSeq, fact_114_red__reds_ORedBlock, fact_115_mem__splitE,
% 40.74/6.61 fact_116_mem__splitE, fact_117_mem__splitE, fact_118_mem__splitE,
% 40.74/6.61 fact_119_mem__splitE, fact_120_mem__splitE, fact_121_mem__splitI2,
% 40.74/6.61 fact_122_mem__splitI2, fact_123_mem__splitI2, fact_124_mem__splitI2,
% 40.74/6.61 fact_125_mem__splitI2, fact_126_mem__splitI2, fact_127_red__reds_ORedLAss,
% 40.74/6.61 fact_128_cond__split__eta, fact_129_cond__split__eta, fact_12_prod__induct4,
% 40.74/6.61 fact_130_cond__split__eta, fact_131_splitE2, fact_132_splitE2, fact_133_splitE2,
% 40.74/6.61 fact_134_exp_Osimps_I143_J, fact_135_exp_Osimps_I196_J,
% 40.74/6.61 fact_136_exp_Osimps_I3_J, fact_137_exp_Osimps_I11_J, fact_138_exp_Osimps_I6_J,
% 40.74/6.61 fact_139_mem__def, fact_13_prod__cases4, fact_140_mem__def, fact_141_mem__def,
% 40.74/6.61 fact_142_exp_Osimps_I10_J, fact_143_exp_Osimps_I84_J, fact_144_exp_Osimps_I74_J,
% 40.74/6.61 fact_145_exp_Osimps_I85_J, fact_146_exp_Osimps_I75_J, fact_147_exp_Osimps_I82_J,
% 40.74/6.61 fact_148_exp_Osimps_I83_J, fact_149_exp_Osimps_I145_J,
% 40.74/6.61 fact_150_exp_Osimps_I144_J, fact_151_exp_Osimps_I197_J,
% 40.74/6.61 fact_152_exp_Osimps_I142_J, fact_153_redp__redsp_OInitBlockRed,
% 40.74/6.61 fact_154_red__reds_OBlockRedSome, fact_155_redp__redsp_OSeqRed,
% 40.74/6.61 fact_156_redp__redsp_OLAssRed, fact_157_redp__redsp_OBlockRedNone,
% 40.74/6.61 fact_158_redp__redsp_ORedSeq, fact_159_map__upd__nonempty, fact_15_Pair__inject,
% 40.74/6.61 fact_160_map__upd__nonempty, fact_161_redp__redsp_ORedBlock,
% 40.74/6.61 fact_162_empty__upd__none, fact_163_empty__upd__none,
% 40.74/6.61 fact_164_redp__redsp_OBlockRedSome, fact_165_redp__red__eq,
% 40.74/6.61 fact_166_redp__redsp_ORedInitBlock, fact_16_Pair__inject, fact_17_Pair__inject,
% 40.74/6.61 fact_18_Pair__eq, fact_19_Pair__eq, fact_20_Pair__eq,
% 40.74/6.61 fact_21_split__paired__All, fact_22_split__paired__All,
% 40.74/6.61 fact_23_split__paired__All, fact_24_fun__upd__def, fact_25_fun__upd__def,
% 40.74/6.61 fact_26_fun__upd__idem, fact_27_fun__upd__idem, fact_28_fun__upd__other,
% 40.74/6.61 fact_29_fun__upd__other, fact_2_fun__upd__triv, fact_30_fun__upd__twist,
% 40.74/6.61 fact_31_fun__upd__twist, fact_32_fun__upd__apply, fact_33_fun__upd__apply,
% 40.74/6.61 fact_34_fun__upd__same, fact_35_fun__upd__same, fact_36_fun__upd__upd,
% 40.74/6.61 fact_37_fun__upd__upd, fact_38_fun__upd__idem__iff, fact_39_fun__upd__idem__iff,
% 40.74/6.61 fact_3_fun__upd__triv, fact_40_widen__refl, fact_41_red__preserves__hconf,
% 40.74/6.61 fact_42_red__preserves__lconf, fact_43_prod__cases3, fact_44_prod__cases3,
% 40.74/6.61 fact_45_prod__induct3, fact_46_prod__induct3, fact_47_red__preserves__sconf,
% 40.74/6.61 fact_48_pred__equals__eq2, fact_49_pred__equals__eq2, fact_4_assms,
% 40.74/6.61 fact_50_pred__equals__eq2, fact_51_prod_Oexhaust, fact_52_prod_Oexhaust,
% 40.74/6.61 fact_53_prod_Oexhaust, fact_54_widen__trans, fact_55_InitBlockRed_I5_J,
% 40.74/6.61 fact_56_split__paired__Ex, fact_57_split__paired__Ex, fact_58_split__paired__Ex,
% 40.74/6.61 fact_59_PairE, fact_5_map__upd__Some__unfold, fact_60_PairE, fact_61_PairE,
% 40.74/6.61 fact_62_internal__split__conv, fact_63_sconf__def, fact_64_prod__caseI,
% 40.74/6.61 fact_65_prod__caseI, fact_66_prod__caseI, fact_67_splitI, fact_68_splitI,
% 40.74/6.61 fact_69_splitI, fact_6_map__upd__Some__unfold, fact_70_splitD, fact_71_splitD,
% 40.74/6.61 fact_72_splitD, fact_73_split__weak__cong, fact_74_split__weak__cong,
% 40.74/6.61 fact_75_split__weak__cong, fact_76_internal__split__def,
% 40.74/6.61 fact_77_internal__split__def, fact_78_internal__split__def,
% 40.74/6.61 fact_79_split__twice, fact_7_map__upd__triv, fact_80_split__twice,
% 40.74/6.61 fact_81_split__twice, fact_82_split__twice, fact_83_split__part,
% 40.74/6.61 fact_84_split__part, fact_85_split__part, fact_86_prod_Osimps_I2_J,
% 40.74/6.61 fact_87_prod_Osimps_I2_J, fact_88_prod_Osimps_I2_J, fact_89_split__conv,
% 40.74/6.61 fact_8_map__upd__triv, fact_90_split__conv, fact_91_split__conv,
% 40.74/6.61 fact_92_split__eta, fact_93_split__eta, fact_94_split__eta,
% 40.74/6.61 fact_95_red__reds_OInitBlockRed, fact_96_red__reds_ORedInitBlock,
% 40.74/6.61 fact_97_splitI2, fact_98_splitI2, fact_99_splitI2, fact_9_map__upd__eqD1,
% 40.74/6.61 gsy_c_SmallStep_Oassigned,
% 40.74/6.61 gsy_c_TypeRel_Owiden_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__String__,
% 40.74/6.61 gsy_c_WellForm_Owf__prog_000tc__prod_Itc__List__Olist_Itc__List__Olist_Itc__Stri,
% 40.74/6.61 gsy_c_WellTypeRT_OWTrt, gsy_c_hAPP_000tc__HOL__Obool_000tc__HOL__Obool,
% 40.74/6.61 gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption,
% 40.74/6.61 gsy_c_hAPP_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Option__Ooption_001,
% 40.74/6.61 gsy_c_hAPP_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_Itc__List__O,
% 40.74/6.61 gsy_c_hAPP_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J_M,
% 40.74/6.61 gsy_c_hAPP_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,
% 40.74/6.61 gsy_c_hAPP_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,
% 40.74/6.61 gsy_c_member_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__Ochar_J_J,
% 40.74/6.61 gsy_c_member_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_,
% 40.74/6.61 gsy_c_member_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String_,
% 40.74/6.61 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__fun_Itc__List__O,
% 40.74/6.61 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__Expr__,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__HOL__Obool_000tc__prod_Itc__fun_It,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__HOL__Obool_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Oboo,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__HOL__Obool_Mtc__HOL__Obool_J_000tc__fun_Itc,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_002,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_006,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_007,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__fun_Itc__List__Olist_Itc__String__Ochar_J_M_011,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___012,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc___013,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_008,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__fun_Itc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__O_009,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__String__O_004,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_003,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_It_005,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc_,
% 40.74/6.62 help_COMBB_1_1_COMBB_000tc__prod_Itc__prod_Itc__Expr__Oexp_Itc__List__Olist_Itc__010,
% 40.74/6.62 help_COMBC_1_1_COMBC_000tc__fun_Itc__List__Olist_Itc__String__Ochar_J_Mtc__Optio,
% 40.74/6.62 help_COMBC_1_1_COMBC_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,
% 40.74/6.62 help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Type__Oty_J_000tc__List__Olist_,
% 40.74/6.62 help_COMBK_1_1_COMBK_000tc__Option__Ooption_Itc__Value__Oval_J_000tc__List__Olis,
% 40.74/6.62 help_COMBS_1_1_COMBS_000tc__fun_Itc__Nat__Onat_Mtc__Option__Ooption_Itc__prod_It,
% 40.74/6.62 help_fconj_1_1_U, help_fconj_2_1_U, help_fconj_3_1_U
% 40.74/6.62
% 40.74/6.62 Those formulas are unsatisfiable:
% 40.74/6.62 ---------------------------------
% 40.74/6.62
% 40.74/6.62 Begin of proof
% 40.74/6.62 |
% 40.74/6.62 | ALPHA: (fact_1_InitBlockRed_I1_J) implies:
% 40.74/6.62 | (1) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 40.74/6.62 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 40.74/6.62 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] :
% 40.74/6.62 | (fun_up1149430426on_val(la, v_1, v2) = v3 &
% 40.74/6.62 | hAPP_P1870962205on_val(produc1441475159on_val, v5) = v6 &
% 40.74/6.62 | hAPP_e1659493427on_val(produc1259058957on_val, e_a) = v7 &
% 40.74/6.62 | hAPP_e1659493427on_val(produc1259058957on_val, ea) = v0 &
% 40.74/6.62 | hAPP_f1849790461on_val(produc899768717on_val, h_a) = v8 &
% 40.74/6.62 | hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 40.74/6.62 | hAPP_f1727192346on_val(v8, l_a) = v9 & hAPP_f1727192346on_val(v1, v3)
% 40.74/6.63 | = v4 & hAPP_P604205461on_val(v7, v9) = v10 &
% 40.74/6.63 | hAPP_P604205461on_val(v0, v4) = v5 & hAPP_P1886180715on_val(v6, v10)
% 40.74/6.63 | = v11 & red(p) = v12 & hBOOL(v13) = 0 & some_val(v) = v2 &
% 40.74/6.63 | member773094996on_val(v11, v12) = v13 & $i(v13) & $i(v12) & $i(v11) &
% 40.74/6.63 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 40.74/6.63 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 40.74/6.63 |
% 40.74/6.63 | ALPHA: (fact_11_InitBlockRed_I2_J) implies:
% 40.74/6.63 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 40.74/6.63 | (fun_up1149430426on_val(la, v_1, v1) = v2 &
% 40.74/6.63 | hAPP_f1849790461on_val(produc899768717on_val, ha) = v0 &
% 40.74/6.63 | hAPP_f1727192346on_val(v0, v2) = v3 & some_val(v) = v1 & $i(v3) &
% 40.74/6.63 | $i(v2) & $i(v1) & $i(v0) & ! [v4: $i] : ! [v5: $i] : ! [v6: $i] :
% 40.74/6.63 | ( ~ (wTrt(p, ha, v5, ea, v4) = v6) | ~ $i(v5) | ~ $i(v4) | ? [v7:
% 40.74/6.63 | $i] : ? [v8: $i] : ? [v9: any] : ? [v10: any] : ? [v11: $i] :
% 40.74/6.63 | ? [v12: $i] : ? [v13: int] : ? [v14: $i] : ? [v15: int] :
% 40.74/6.63 | ($i(v11) & ((v15 = 0 & v13 = 0 & hBOOL(v14) = 0 & hBOOL(v12) = 0 &
% 40.74/6.63 | wTrt(p, h_a, v5, e_a, v11) = v12 & widen_2090681816t_char(p,
% 40.74/6.63 | v11, v4) = v14 & $i(v14) & $i(v12)) |
% 40.74/6.63 | (typeSa1234865140_sconf(p, v5) = v7 & hBOOL(v8) = v9 &
% 40.74/6.63 | hBOOL(v6) = v10 & hAPP_P159683425l_bool(v7, v3) = v8 & $i(v8)
% 40.74/6.63 | & $i(v7) & ( ~ (v10 = 0) | ~ (v9 = 0)))))))
% 40.74/6.63 |
% 40.74/6.63 | ALPHA: (fact_14_InitBlockRed_I4_J) implies:
% 41.05/6.63 | (3) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] :
% 41.05/6.63 | (typeSa1234865140_sconf(p, e) = v0 &
% 41.05/6.63 | hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 41.05/6.63 | hAPP_f1727192346on_val(v1, la) = v2 & hBOOL(v3) = 0 &
% 41.05/6.63 | hAPP_P159683425l_bool(v0, v2) = v3 & $i(v3) & $i(v2) & $i(v1) &
% 41.05/6.63 | $i(v0))
% 41.05/6.63 |
% 41.05/6.63 | ALPHA: (conj_0) implies:
% 41.05/6.64 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 41.05/6.64 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ?
% 41.05/6.64 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: int]
% 41.05/6.64 | : ( ~ (v14 = 0) & fun_up1149430426on_val(la, v_1, v2) = v3 &
% 41.05/6.64 | hAPP_P1870962205on_val(produc1441475159on_val, v5) = v6 &
% 41.05/6.64 | hAPP_e1659493427on_val(produc1259058957on_val, e_a) = v7 &
% 41.05/6.64 | hAPP_e1659493427on_val(produc1259058957on_val, ea) = v0 &
% 41.05/6.64 | hAPP_f1849790461on_val(produc899768717on_val, h_a) = v8 &
% 41.05/6.64 | hAPP_f1849790461on_val(produc899768717on_val, ha) = v1 &
% 41.05/6.64 | hAPP_f1727192346on_val(v8, l_a) = v9 & hAPP_f1727192346on_val(v1, v3)
% 41.05/6.64 | = v4 & hAPP_P604205461on_val(v7, v9) = v10 &
% 41.05/6.64 | hAPP_P604205461on_val(v0, v4) = v5 & hAPP_P1886180715on_val(v6, v10)
% 41.05/6.64 | = v11 & red(p) = v12 & hBOOL(v13) = v14 & some_val(v) = v2 &
% 41.05/6.64 | member773094996on_val(v11, v12) = v13 & $i(v13) & $i(v12) & $i(v11) &
% 41.05/6.64 | $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) &
% 41.05/6.64 | $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 41.05/6.64 |
% 41.05/6.64 | ALPHA: (function-axioms) implies:
% 41.05/6.64 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (some_val(v2) =
% 41.05/6.64 | v1) | ~ (some_val(v2) = v0))
% 41.05/6.64 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 41.05/6.64 | (v1 = v0 | ~ (hBOOL(v2) = v1) | ~ (hBOOL(v2) = v0))
% 41.05/6.64 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (red(v2) = v1)
% 41.05/6.64 | | ~ (red(v2) = v0))
% 41.05/6.64 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.64 | (member773094996on_val(v3, v2) = v1) | ~ (member773094996on_val(v3,
% 41.05/6.64 | v2) = v0))
% 41.05/6.64 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.64 | (hAPP_P1886180715on_val(v3, v2) = v1) | ~
% 41.05/6.64 | (hAPP_P1886180715on_val(v3, v2) = v0))
% 41.05/6.65 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.65 | (hAPP_P604205461on_val(v3, v2) = v1) | ~ (hAPP_P604205461on_val(v3,
% 41.05/6.65 | v2) = v0))
% 41.05/6.65 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.65 | (hAPP_f1727192346on_val(v3, v2) = v1) | ~
% 41.05/6.65 | (hAPP_f1727192346on_val(v3, v2) = v0))
% 41.05/6.65 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.65 | (hAPP_f1849790461on_val(v3, v2) = v1) | ~
% 41.05/6.65 | (hAPP_f1849790461on_val(v3, v2) = v0))
% 41.05/6.65 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.65 | (hAPP_e1659493427on_val(v3, v2) = v1) | ~
% 41.05/6.65 | (hAPP_e1659493427on_val(v3, v2) = v0))
% 41.05/6.65 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 41.05/6.65 | (hAPP_P1870962205on_val(v3, v2) = v1) | ~
% 41.05/6.65 | (hAPP_P1870962205on_val(v3, v2) = v0))
% 41.05/6.65 | (15) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 41.05/6.65 | (v1 = v0 | ~ (fun_up1149430426on_val(v4, v3, v2) = v1) | ~
% 41.05/6.65 | (fun_up1149430426on_val(v4, v3, v2) = v0))
% 41.05/6.65 |
% 41.05/6.65 | DELTA: instantiating (3) with fresh symbols all_207_0, all_207_1, all_207_2,
% 41.05/6.65 | all_207_3 gives:
% 41.05/6.65 | (16) typeSa1234865140_sconf(p, e) = all_207_3 &
% 41.05/6.65 | hAPP_f1849790461on_val(produc899768717on_val, ha) = all_207_2 &
% 41.05/6.65 | hAPP_f1727192346on_val(all_207_2, la) = all_207_1 & hBOOL(all_207_0) =
% 41.05/6.65 | 0 & hAPP_P159683425l_bool(all_207_3, all_207_1) = all_207_0 &
% 41.05/6.65 | $i(all_207_0) & $i(all_207_1) & $i(all_207_2) & $i(all_207_3)
% 41.05/6.65 |
% 41.05/6.65 | ALPHA: (16) implies:
% 41.05/6.65 | (17) hAPP_f1849790461on_val(produc899768717on_val, ha) = all_207_2
% 41.05/6.65 |
% 41.05/6.65 | DELTA: instantiating (2) with fresh symbols all_238_0, all_238_1, all_238_2,
% 41.05/6.65 | all_238_3 gives:
% 41.05/6.66 | (18) fun_up1149430426on_val(la, v_1, all_238_2) = all_238_1 &
% 41.05/6.66 | hAPP_f1849790461on_val(produc899768717on_val, ha) = all_238_3 &
% 41.05/6.66 | hAPP_f1727192346on_val(all_238_3, all_238_1) = all_238_0 & some_val(v)
% 41.05/6.66 | = all_238_2 & $i(all_238_0) & $i(all_238_1) & $i(all_238_2) &
% 41.05/6.66 | $i(all_238_3) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (wTrt(p,
% 41.05/6.66 | ha, v1, ea, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ?
% 41.05/6.66 | [v4: $i] : ? [v5: any] : ? [v6: any] : ? [v7: $i] : ? [v8: $i] :
% 41.05/6.66 | ? [v9: int] : ? [v10: $i] : ? [v11: int] : ($i(v7) & ((v11 = 0 &
% 41.05/6.66 | v9 = 0 & hBOOL(v10) = 0 & hBOOL(v8) = 0 & wTrt(p, h_a, v1,
% 41.05/6.66 | e_a, v7) = v8 & widen_2090681816t_char(p, v7, v0) = v10 &
% 41.05/6.66 | $i(v10) & $i(v8)) | (typeSa1234865140_sconf(p, v1) = v3 &
% 41.05/6.66 | hBOOL(v4) = v5 & hBOOL(v2) = v6 & hAPP_P159683425l_bool(v3,
% 41.05/6.66 | all_238_0) = v4 & $i(v4) & $i(v3) & ( ~ (v6 = 0) | ~ (v5 =
% 41.05/6.66 | 0))))))
% 41.05/6.66 |
% 41.05/6.66 | ALPHA: (18) implies:
% 41.05/6.66 | (19) some_val(v) = all_238_2
% 41.05/6.66 | (20) hAPP_f1727192346on_val(all_238_3, all_238_1) = all_238_0
% 41.05/6.66 | (21) hAPP_f1849790461on_val(produc899768717on_val, ha) = all_238_3
% 41.05/6.66 | (22) fun_up1149430426on_val(la, v_1, all_238_2) = all_238_1
% 41.05/6.66 |
% 41.05/6.66 | DELTA: instantiating (1) with fresh symbols all_241_0, all_241_1, all_241_2,
% 41.05/6.66 | all_241_3, all_241_4, all_241_5, all_241_6, all_241_7, all_241_8,
% 41.05/6.66 | all_241_9, all_241_10, all_241_11, all_241_12, all_241_13 gives:
% 41.05/6.66 | (23) fun_up1149430426on_val(la, v_1, all_241_11) = all_241_10 &
% 41.05/6.66 | hAPP_P1870962205on_val(produc1441475159on_val, all_241_8) = all_241_7
% 41.05/6.66 | & hAPP_e1659493427on_val(produc1259058957on_val, e_a) = all_241_6 &
% 41.05/6.66 | hAPP_e1659493427on_val(produc1259058957on_val, ea) = all_241_13 &
% 41.05/6.66 | hAPP_f1849790461on_val(produc899768717on_val, h_a) = all_241_5 &
% 41.05/6.66 | hAPP_f1849790461on_val(produc899768717on_val, ha) = all_241_12 &
% 41.05/6.66 | hAPP_f1727192346on_val(all_241_5, l_a) = all_241_4 &
% 41.05/6.66 | hAPP_f1727192346on_val(all_241_12, all_241_10) = all_241_9 &
% 41.05/6.66 | hAPP_P604205461on_val(all_241_6, all_241_4) = all_241_3 &
% 41.05/6.66 | hAPP_P604205461on_val(all_241_13, all_241_9) = all_241_8 &
% 41.05/6.66 | hAPP_P1886180715on_val(all_241_7, all_241_3) = all_241_2 & red(p) =
% 41.05/6.66 | all_241_1 & hBOOL(all_241_0) = 0 & some_val(v) = all_241_11 &
% 41.05/6.66 | member773094996on_val(all_241_2, all_241_1) = all_241_0 &
% 41.05/6.66 | $i(all_241_0) & $i(all_241_1) & $i(all_241_2) & $i(all_241_3) &
% 41.05/6.66 | $i(all_241_4) & $i(all_241_5) & $i(all_241_6) & $i(all_241_7) &
% 41.05/6.66 | $i(all_241_8) & $i(all_241_9) & $i(all_241_10) & $i(all_241_11) &
% 41.05/6.66 | $i(all_241_12) & $i(all_241_13)
% 41.18/6.66 |
% 41.18/6.66 | ALPHA: (23) implies:
% 41.18/6.66 | (24) member773094996on_val(all_241_2, all_241_1) = all_241_0
% 41.18/6.66 | (25) some_val(v) = all_241_11
% 41.18/6.66 | (26) hBOOL(all_241_0) = 0
% 41.18/6.66 | (27) red(p) = all_241_1
% 41.18/6.66 | (28) hAPP_P1886180715on_val(all_241_7, all_241_3) = all_241_2
% 41.18/6.66 | (29) hAPP_P604205461on_val(all_241_13, all_241_9) = all_241_8
% 41.18/6.66 | (30) hAPP_P604205461on_val(all_241_6, all_241_4) = all_241_3
% 41.18/6.66 | (31) hAPP_f1727192346on_val(all_241_12, all_241_10) = all_241_9
% 41.18/6.66 | (32) hAPP_f1727192346on_val(all_241_5, l_a) = all_241_4
% 41.18/6.66 | (33) hAPP_f1849790461on_val(produc899768717on_val, ha) = all_241_12
% 41.18/6.66 | (34) hAPP_f1849790461on_val(produc899768717on_val, h_a) = all_241_5
% 41.18/6.66 | (35) hAPP_e1659493427on_val(produc1259058957on_val, ea) = all_241_13
% 41.18/6.66 | (36) hAPP_e1659493427on_val(produc1259058957on_val, e_a) = all_241_6
% 41.18/6.66 | (37) hAPP_P1870962205on_val(produc1441475159on_val, all_241_8) = all_241_7
% 41.18/6.67 | (38) fun_up1149430426on_val(la, v_1, all_241_11) = all_241_10
% 41.18/6.67 |
% 41.18/6.67 | DELTA: instantiating (4) with fresh symbols all_243_0, all_243_1, all_243_2,
% 41.18/6.67 | all_243_3, all_243_4, all_243_5, all_243_6, all_243_7, all_243_8,
% 41.18/6.67 | all_243_9, all_243_10, all_243_11, all_243_12, all_243_13, all_243_14
% 41.18/6.67 | gives:
% 41.18/6.67 | (39) ~ (all_243_0 = 0) & fun_up1149430426on_val(la, v_1, all_243_12) =
% 41.18/6.67 | all_243_11 & hAPP_P1870962205on_val(produc1441475159on_val, all_243_9)
% 41.18/6.67 | = all_243_8 & hAPP_e1659493427on_val(produc1259058957on_val, e_a) =
% 41.18/6.67 | all_243_7 & hAPP_e1659493427on_val(produc1259058957on_val, ea) =
% 41.18/6.67 | all_243_14 & hAPP_f1849790461on_val(produc899768717on_val, h_a) =
% 41.18/6.67 | all_243_6 & hAPP_f1849790461on_val(produc899768717on_val, ha) =
% 41.18/6.67 | all_243_13 & hAPP_f1727192346on_val(all_243_6, l_a) = all_243_5 &
% 41.18/6.67 | hAPP_f1727192346on_val(all_243_13, all_243_11) = all_243_10 &
% 41.18/6.67 | hAPP_P604205461on_val(all_243_7, all_243_5) = all_243_4 &
% 41.18/6.67 | hAPP_P604205461on_val(all_243_14, all_243_10) = all_243_9 &
% 41.18/6.67 | hAPP_P1886180715on_val(all_243_8, all_243_4) = all_243_3 & red(p) =
% 41.18/6.67 | all_243_2 & hBOOL(all_243_1) = all_243_0 & some_val(v) = all_243_12 &
% 41.18/6.67 | member773094996on_val(all_243_3, all_243_2) = all_243_1 &
% 41.18/6.67 | $i(all_243_1) & $i(all_243_2) & $i(all_243_3) & $i(all_243_4) &
% 41.18/6.67 | $i(all_243_5) & $i(all_243_6) & $i(all_243_7) & $i(all_243_8) &
% 41.18/6.67 | $i(all_243_9) & $i(all_243_10) & $i(all_243_11) & $i(all_243_12) &
% 41.18/6.67 | $i(all_243_13) & $i(all_243_14)
% 41.18/6.67 |
% 41.18/6.67 | ALPHA: (39) implies:
% 41.18/6.67 | (40) ~ (all_243_0 = 0)
% 41.18/6.67 | (41) member773094996on_val(all_243_3, all_243_2) = all_243_1
% 41.18/6.67 | (42) some_val(v) = all_243_12
% 41.18/6.67 | (43) hBOOL(all_243_1) = all_243_0
% 41.18/6.67 | (44) red(p) = all_243_2
% 41.18/6.67 | (45) hAPP_P1886180715on_val(all_243_8, all_243_4) = all_243_3
% 41.18/6.67 | (46) hAPP_P604205461on_val(all_243_14, all_243_10) = all_243_9
% 41.18/6.67 | (47) hAPP_P604205461on_val(all_243_7, all_243_5) = all_243_4
% 41.18/6.67 | (48) hAPP_f1727192346on_val(all_243_13, all_243_11) = all_243_10
% 41.18/6.67 | (49) hAPP_f1727192346on_val(all_243_6, l_a) = all_243_5
% 41.18/6.67 | (50) hAPP_f1849790461on_val(produc899768717on_val, ha) = all_243_13
% 41.18/6.67 | (51) hAPP_f1849790461on_val(produc899768717on_val, h_a) = all_243_6
% 41.18/6.67 | (52) hAPP_e1659493427on_val(produc1259058957on_val, ea) = all_243_14
% 41.18/6.67 | (53) hAPP_e1659493427on_val(produc1259058957on_val, e_a) = all_243_7
% 41.18/6.67 | (54) hAPP_P1870962205on_val(produc1441475159on_val, all_243_9) = all_243_8
% 41.18/6.67 | (55) fun_up1149430426on_val(la, v_1, all_243_12) = all_243_11
% 41.18/6.67 |
% 41.18/6.67 | GROUND_INST: instantiating (5) with all_241_11, all_243_12, v, simplifying
% 41.18/6.67 | with (25), (42) gives:
% 41.18/6.67 | (56) all_243_12 = all_241_11
% 41.18/6.67 |
% 41.18/6.67 | GROUND_INST: instantiating (5) with all_238_2, all_243_12, v, simplifying with
% 41.18/6.67 | (19), (42) gives:
% 41.18/6.67 | (57) all_243_12 = all_238_2
% 41.18/6.67 |
% 41.18/6.67 | GROUND_INST: instantiating (7) with all_241_1, all_243_2, p, simplifying with
% 41.18/6.67 | (27), (44) gives:
% 41.18/6.67 | (58) all_243_2 = all_241_1
% 41.18/6.67 |
% 41.18/6.67 | GROUND_INST: instantiating (12) with all_207_2, all_241_12, ha,
% 41.18/6.67 | produc899768717on_val, simplifying with (17), (33) gives:
% 41.18/6.67 | (59) all_241_12 = all_207_2
% 41.18/6.67 |
% 41.18/6.67 | GROUND_INST: instantiating (12) with all_241_12, all_243_13, ha,
% 41.18/6.67 | produc899768717on_val, simplifying with (33), (50) gives:
% 41.18/6.68 | (60) all_243_13 = all_241_12
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (12) with all_238_3, all_243_13, ha,
% 41.18/6.68 | produc899768717on_val, simplifying with (21), (50) gives:
% 41.18/6.68 | (61) all_243_13 = all_238_3
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (12) with all_241_5, all_243_6, h_a,
% 41.18/6.68 | produc899768717on_val, simplifying with (34), (51) gives:
% 41.18/6.68 | (62) all_243_6 = all_241_5
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (13) with all_241_13, all_243_14, ea,
% 41.18/6.68 | produc1259058957on_val, simplifying with (35), (52) gives:
% 41.18/6.68 | (63) all_243_14 = all_241_13
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (13) with all_241_6, all_243_7, e_a,
% 41.18/6.68 | produc1259058957on_val, simplifying with (36), (53) gives:
% 41.18/6.68 | (64) all_243_7 = all_241_6
% 41.18/6.68 |
% 41.18/6.68 | COMBINE_EQS: (56), (57) imply:
% 41.18/6.68 | (65) all_241_11 = all_238_2
% 41.18/6.68 |
% 41.18/6.68 | SIMP: (65) implies:
% 41.18/6.68 | (66) all_241_11 = all_238_2
% 41.18/6.68 |
% 41.18/6.68 | COMBINE_EQS: (60), (61) imply:
% 41.18/6.68 | (67) all_241_12 = all_238_3
% 41.18/6.68 |
% 41.18/6.68 | SIMP: (67) implies:
% 41.18/6.68 | (68) all_241_12 = all_238_3
% 41.18/6.68 |
% 41.18/6.68 | COMBINE_EQS: (59), (68) imply:
% 41.18/6.68 | (69) all_238_3 = all_207_2
% 41.18/6.68 |
% 41.18/6.68 | COMBINE_EQS: (61), (69) imply:
% 41.18/6.68 | (70) all_243_13 = all_207_2
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (55), (57) imply:
% 41.18/6.68 | (71) fun_up1149430426on_val(la, v_1, all_238_2) = all_243_11
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (38), (66) imply:
% 41.18/6.68 | (72) fun_up1149430426on_val(la, v_1, all_238_2) = all_241_10
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (49), (62) imply:
% 41.18/6.68 | (73) hAPP_f1727192346on_val(all_241_5, l_a) = all_243_5
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (48), (70) imply:
% 41.18/6.68 | (74) hAPP_f1727192346on_val(all_207_2, all_243_11) = all_243_10
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (31), (59) imply:
% 41.18/6.68 | (75) hAPP_f1727192346on_val(all_207_2, all_241_10) = all_241_9
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (20), (69) imply:
% 41.18/6.68 | (76) hAPP_f1727192346on_val(all_207_2, all_238_1) = all_238_0
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (47), (64) imply:
% 41.18/6.68 | (77) hAPP_P604205461on_val(all_241_6, all_243_5) = all_243_4
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (46), (63) imply:
% 41.18/6.68 | (78) hAPP_P604205461on_val(all_241_13, all_243_10) = all_243_9
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (41), (58) imply:
% 41.18/6.68 | (79) member773094996on_val(all_243_3, all_241_1) = all_243_1
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (11) with all_241_4, all_243_5, l_a, all_241_5,
% 41.18/6.68 | simplifying with (32), (73) gives:
% 41.18/6.68 | (80) all_243_5 = all_241_4
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (15) with all_238_1, all_243_11, all_238_2, v_1,
% 41.18/6.68 | la, simplifying with (22), (71) gives:
% 41.18/6.68 | (81) all_243_11 = all_238_1
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (15) with all_241_10, all_243_11, all_238_2, v_1,
% 41.18/6.68 | la, simplifying with (71), (72) gives:
% 41.18/6.68 | (82) all_243_11 = all_241_10
% 41.18/6.68 |
% 41.18/6.68 | COMBINE_EQS: (81), (82) imply:
% 41.18/6.68 | (83) all_241_10 = all_238_1
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (74), (81) imply:
% 41.18/6.68 | (84) hAPP_f1727192346on_val(all_207_2, all_238_1) = all_243_10
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (75), (83) imply:
% 41.18/6.68 | (85) hAPP_f1727192346on_val(all_207_2, all_238_1) = all_241_9
% 41.18/6.68 |
% 41.18/6.68 | REDUCE: (77), (80) imply:
% 41.18/6.68 | (86) hAPP_P604205461on_val(all_241_6, all_241_4) = all_243_4
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (10) with all_241_3, all_243_4, all_241_4,
% 41.18/6.68 | all_241_6, simplifying with (30), (86) gives:
% 41.18/6.68 | (87) all_243_4 = all_241_3
% 41.18/6.68 |
% 41.18/6.68 | GROUND_INST: instantiating (11) with all_238_0, all_243_10, all_238_1,
% 41.18/6.68 | all_207_2, simplifying with (76), (84) gives:
% 41.18/6.68 | (88) all_243_10 = all_238_0
% 41.18/6.68 |
% 41.18/6.69 | GROUND_INST: instantiating (11) with all_241_9, all_243_10, all_238_1,
% 41.18/6.69 | all_207_2, simplifying with (84), (85) gives:
% 41.18/6.69 | (89) all_243_10 = all_241_9
% 41.18/6.69 |
% 41.18/6.69 | COMBINE_EQS: (88), (89) imply:
% 41.18/6.69 | (90) all_241_9 = all_238_0
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (78), (88) imply:
% 41.18/6.69 | (91) hAPP_P604205461on_val(all_241_13, all_238_0) = all_243_9
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (29), (90) imply:
% 41.18/6.69 | (92) hAPP_P604205461on_val(all_241_13, all_238_0) = all_241_8
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (45), (87) imply:
% 41.18/6.69 | (93) hAPP_P1886180715on_val(all_243_8, all_241_3) = all_243_3
% 41.18/6.69 |
% 41.18/6.69 | GROUND_INST: instantiating (10) with all_241_8, all_243_9, all_238_0,
% 41.18/6.69 | all_241_13, simplifying with (91), (92) gives:
% 41.18/6.69 | (94) all_243_9 = all_241_8
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (54), (94) imply:
% 41.18/6.69 | (95) hAPP_P1870962205on_val(produc1441475159on_val, all_241_8) = all_243_8
% 41.18/6.69 |
% 41.18/6.69 | GROUND_INST: instantiating (14) with all_241_7, all_243_8, all_241_8,
% 41.18/6.69 | produc1441475159on_val, simplifying with (37), (95) gives:
% 41.18/6.69 | (96) all_243_8 = all_241_7
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (93), (96) imply:
% 41.18/6.69 | (97) hAPP_P1886180715on_val(all_241_7, all_241_3) = all_243_3
% 41.18/6.69 |
% 41.18/6.69 | GROUND_INST: instantiating (9) with all_241_2, all_243_3, all_241_3,
% 41.18/6.69 | all_241_7, simplifying with (28), (97) gives:
% 41.18/6.69 | (98) all_243_3 = all_241_2
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (79), (98) imply:
% 41.18/6.69 | (99) member773094996on_val(all_241_2, all_241_1) = all_243_1
% 41.18/6.69 |
% 41.18/6.69 | GROUND_INST: instantiating (8) with all_241_0, all_243_1, all_241_1,
% 41.18/6.69 | all_241_2, simplifying with (24), (99) gives:
% 41.18/6.69 | (100) all_243_1 = all_241_0
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (43), (100) imply:
% 41.18/6.69 | (101) hBOOL(all_241_0) = all_243_0
% 41.18/6.69 |
% 41.18/6.69 | GROUND_INST: instantiating (6) with 0, all_243_0, all_241_0, simplifying with
% 41.18/6.69 | (26), (101) gives:
% 41.18/6.69 | (102) all_243_0 = 0
% 41.18/6.69 |
% 41.18/6.69 | REDUCE: (40), (102) imply:
% 41.18/6.69 | (103) $false
% 41.18/6.69 |
% 41.18/6.69 | CLOSE: (103) is inconsistent.
% 41.18/6.69 |
% 41.18/6.69 End of proof
% 41.18/6.69 % SZS output end Proof for theBenchmark
% 41.18/6.69
% 41.18/6.69 6025ms
%------------------------------------------------------------------------------