%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEV579+1 : TPTP v9.1.0. Released v9.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n012.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 : Tue Apr 1 02:02:57 AM UTC 2025 % Result : Theorem 12.87s 2.43s % Output : Proof 16.37s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.13 % Problem : SEV579+1 : TPTP v9.1.0. Released v9.1.0. % 0.08/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.36 % Computer : n012.cluster.edu % 0.14/0.36 % Model : x86_64 x86_64 % 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.36 % Memory : 8042.1875MB % 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.36 % CPULimit : 300 % 0.14/0.36 % WCLimit : 300 % 0.14/0.36 % DateTime : Mon Mar 31 13:08:49 EDT 2025 % 0.14/0.36 % CPUTime : % 0.65/0.63 ________ _____ % 0.65/0.63 ___ __ \_________(_)________________________________ % 0.65/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.65/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.65/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.65/0.63 % 0.65/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.65/0.63 (2023-06-19) % 0.65/0.63 % 0.65/0.63 (c) Philipp Rümmer, 2009-2023 % 0.65/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.65/0.63 Amanda Stjerna. % 0.65/0.63 Free software under BSD-3-Clause. % 0.65/0.63 % 0.65/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.65/0.63 % 0.65/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.66/0.64 Running up to 7 provers in parallel. % 0.66/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.87/1.11 Prover 1: Preprocessing ... % 2.87/1.11 Prover 4: Preprocessing ... % 2.87/1.15 Prover 0: Preprocessing ... % 2.87/1.15 Prover 3: Preprocessing ... % 2.87/1.16 Prover 2: Preprocessing ... % 2.87/1.16 Prover 5: Preprocessing ... % 2.87/1.16 Prover 6: Preprocessing ... % 7.01/1.64 Prover 5: Proving ... % 7.01/1.65 Prover 2: Proving ... % 7.43/1.71 Prover 1: Constructing countermodel ... % 7.43/1.74 Prover 3: Constructing countermodel ... % 7.43/1.75 Prover 6: Proving ... % 8.37/1.83 Prover 4: Constructing countermodel ... % 8.57/1.91 Prover 0: Proving ... % 9.58/1.99 Prover 3: gave up % 9.58/2.01 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 10.23/2.08 Prover 1: gave up % 10.23/2.10 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.23/2.10 Prover 7: Preprocessing ... % 10.79/2.15 Prover 8: Preprocessing ... % 11.41/2.24 Prover 7: Warning: ignoring some quantifiers % 11.41/2.26 Prover 7: Constructing countermodel ... % 11.92/2.30 Prover 6: gave up % 11.92/2.31 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 11.92/2.33 Prover 8: Warning: ignoring some quantifiers % 11.92/2.34 Prover 8: Constructing countermodel ... % 11.92/2.35 Prover 9: Preprocessing ... % 12.87/2.42 Prover 0: proved (1775ms) % 12.87/2.43 % 12.87/2.43 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.87/2.43 % 12.97/2.43 Prover 2: stopped % 12.97/2.43 Prover 5: stopped % 12.97/2.44 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.97/2.45 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.97/2.45 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.97/2.48 Prover 10: Preprocessing ... % 12.97/2.49 Prover 13: Preprocessing ... % 12.97/2.51 Prover 11: Preprocessing ... % 13.63/2.55 Prover 9: Constructing countermodel ... % 13.63/2.55 Prover 9: stopped % 13.63/2.56 Prover 8: gave up % 13.63/2.56 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 13.63/2.56 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 14.15/2.59 Prover 16: Preprocessing ... % 14.15/2.59 Prover 19: Preprocessing ... % 14.15/2.59 Prover 10: Warning: ignoring some quantifiers % 14.15/2.60 Prover 10: Constructing countermodel ... % 14.15/2.61 Prover 13: Warning: ignoring some quantifiers % 14.15/2.64 Prover 13: Constructing countermodel ... % 14.79/2.68 Prover 4: Found proof (size 211) % 14.79/2.68 Prover 4: proved (2027ms) % 14.79/2.68 Prover 11: stopped % 14.79/2.68 Prover 16: Warning: ignoring some quantifiers % 14.95/2.68 Prover 13: stopped % 14.95/2.68 Prover 10: stopped % 14.95/2.69 Prover 16: Constructing countermodel ... % 14.95/2.69 Prover 7: stopped % 14.95/2.70 Prover 16: stopped % 15.20/2.78 Prover 19: Warning: ignoring some quantifiers % 15.20/2.80 Prover 19: Constructing countermodel ... % 15.20/2.81 Prover 19: stopped % 15.20/2.81 % 15.20/2.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 15.20/2.81 % 15.62/2.83 % SZS output start Proof for theBenchmark % 15.62/2.84 Assumptions after simplification: % 15.62/2.84 --------------------------------- % 15.62/2.84 % 15.62/2.84 (a_def) % 15.62/2.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u(v0, v2) = v3) | % 15.62/2.86 ~ (s(v1) = v2) | ~ $i(v1) | ~ $i(v0) | (a(v0, v1) = v3 & $i(v3))) & ! % 15.62/2.86 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (a(v0, v1) = v2) | ~ $i(v1) | ~ % 15.62/2.86 $i(v0) | ? [v3: $i] : (u(v0, v3) = v2 & s(v1) = v3 & $i(v3) & $i(v2))) % 15.62/2.86 % 15.62/2.86 (n_def) % 15.62/2.86 ! [v0: $i] : ! [v1: $i] : ( ~ (n(v0) = v1) | ~ $i(v0) | (a(v0, v0) = v1 & % 15.62/2.86 $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~ (a(v0, v0) = v1) | ~ $i(v0) | % 15.62/2.86 (n(v0) = v1 & $i(v1))) % 15.62/2.86 % 15.62/2.86 (s_ax) % 15.62/2.86 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (s(v0) = v1) | ~ % 15.62/2.86 (mem(v0, v1) = v2) | ~ $i(v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 15.62/2.86 (v1 = v0 | ~ (s(v1) = v2) | ~ (mem(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) % 15.62/2.87 % 15.62/2.87 (subq_2158_39278) % 15.62/2.87 $i(e) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.62/2.87 ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: % 15.62/2.87 $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: % 15.62/2.87 $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: $i] : ? [v20: % 15.62/2.87 $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: int] : ( ~ (v23 = 0) & p(v3) = % 15.62/2.87 v4 & p(v1) = v19 & n(v14) = v15 & n(v6) = v7 & n(v3) = v6 & n(v1) = v8 & % 15.62/2.87 n(v0) = v1 & n(e) = v0 & a(v18, v19) = v20 & a(v13, v1) = v14 & a(v11, v8) = % 15.62/2.87 v12 & a(v7, v8) = v9 & a(v3, v4) = v17 & a(v2, v4) = v5 & u(v17, v20) = v21 % 15.62/2.87 & u(v16, v21) = v22 & u(v12, v15) = v16 & u(v5, v9) = v10 & s(v6) = v18 & % 15.62/2.87 s(v3) = v13 & s(v2) = v11 & s(v1) = v2 & s(v0) = v3 & subq(v10, v22) = v23 & % 15.62/2.87 $i(v22) & $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & % 15.62/2.87 $i(v15) & $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) % 15.62/2.87 & $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 15.62/2.87 % 15.62/2.87 (subq_def) % 15.62/2.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 15.62/2.87 (subq(v0, v1) = 0) | ~ (mem(v2, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 15.62/2.87 $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & mem(v2, v0) = v4)) & ! [v0: $i] : ! % 15.62/2.87 [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subq(v0, v1) = v2) | ~ $i(v1) | ~ % 15.62/2.87 $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) & mem(v3, v1) = v4 & % 15.62/2.87 mem(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 15.62/2.87 (subq(v0, v1) = 0) | ~ (mem(v2, v0) = 0) | ~ $i(v2) | ~ $i(v1) | ~ % 15.62/2.87 $i(v0) | mem(v2, v1) = 0) % 15.62/2.87 % 15.62/2.87 (u_ax) % 15.62/2.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0 % 15.62/2.87 | ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 15.62/2.87 $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ (v6 = 0) & ~ (v5 = 0) & mem(v0, % 15.62/2.87 v2) = v6 & mem(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 15.62/2.87 : ! [v3: $i] : ( ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = 0) | ~ $i(v2) | ~ % 15.62/2.87 $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : (mem(v0, v2) = v5 & % 15.62/2.87 mem(v0, v1) = v4 & (v5 = 0 | v4 = 0))) % 15.62/2.87 % 15.62/2.87 (function-axioms) % 15.62/2.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (a(v3, % 15.62/2.88 v2) = v1) | ~ (a(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 15.62/2.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (m(v3, v2) = v1) | ~ (m(v3, v2) = v0)) & % 15.62/2.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (u(v3, % 15.62/2.88 v2) = v1) | ~ (u(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (disj(v3, v2) % 15.62/2.88 = v1) | ~ (disj(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (subq(v3, v2) % 15.62/2.88 = v1) | ~ (subq(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (mem(v3, v2) % 15.62/2.88 = v1) | ~ (mem(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast16p(v2) = v1) | ~ % 15.62/2.88 (atleast16p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast15p(v2) = v1) | ~ % 15.62/2.88 (atleast15p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast14p(v2) = v1) | ~ % 15.62/2.88 (atleast14p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast13p(v2) = v1) | ~ % 15.62/2.88 (atleast13p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast12p(v2) = v1) | ~ % 15.62/2.88 (atleast12p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast11p(v2) = v1) | ~ % 15.62/2.88 (atleast11p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast10p(v2) = v1) | ~ % 15.62/2.88 (atleast10p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast9p(v2) = v1) | ~ % 15.62/2.88 (atleast9p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast8p(v2) = v1) | ~ % 15.62/2.88 (atleast8p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast7p(v2) = v1) | ~ % 15.62/2.88 (atleast7p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast6p(v2) = v1) | ~ % 15.62/2.88 (atleast6p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast5p(v2) = v1) | ~ % 15.62/2.88 (atleast5p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast4p(v2) = v1) | ~ % 15.62/2.88 (atleast4p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast3p(v2) = v1) | ~ % 15.62/2.88 (atleast3p(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 15.62/2.88 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (atleast2p(v2) = v1) | ~ % 15.62/2.88 (atleast2p(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | % 15.62/2.88 ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 15.62/2.88 : (v1 = v0 | ~ (n(v2) = v1) | ~ (n(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : % 15.62/2.88 ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | ~ (s(v2) = v0)) % 15.62/2.88 % 15.62/2.88 Further assumptions not needed in the proof: % 15.62/2.88 -------------------------------------------- % 15.62/2.88 atleast10p_def, atleast11p_def, atleast12p_def, atleast13p_def, atleast14p_def, % 15.62/2.88 atleast15p_def, atleast16p_def, atleast2p_def, atleast3p_def, atleast4p_def, % 15.62/2.88 atleast5p_def, atleast6p_def, atleast7p_def, atleast8p_def, atleast9p_def, % 15.62/2.88 disj_def, e_ax, m_ax, p_ax, setext % 15.62/2.88 % 15.62/2.88 Those formulas are unsatisfiable: % 15.62/2.88 --------------------------------- % 15.62/2.88 % 15.62/2.88 Begin of proof % 15.62/2.88 | % 15.62/2.88 | ALPHA: (subq_def) implies: % 15.62/2.88 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subq(v0, v1) = % 15.62/2.88 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 % 15.62/2.88 | = 0) & mem(v3, v1) = v4 & mem(v3, v0) = 0 & $i(v3))) % 15.62/2.88 | % 15.62/2.88 | ALPHA: (s_ax) implies: % 15.62/2.88 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v1) = v2) | % 15.62/2.88 | ~ (mem(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0)) % 15.62/2.89 | % 15.62/2.89 | ALPHA: (u_ax) implies: % 15.62/2.89 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (u(v1, v2) % 15.62/2.89 | = v3) | ~ (mem(v0, v3) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 15.62/2.89 | ? [v4: any] : ? [v5: any] : (mem(v0, v2) = v5 & mem(v0, v1) = v4 & % 15.62/2.89 | (v5 = 0 | v4 = 0))) % 15.62/2.89 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : % 15.62/2.89 | (v4 = 0 | ~ (u(v1, v2) = v3) | ~ (mem(v0, v3) = v4) | ~ $i(v2) | ~ % 15.62/2.89 | $i(v1) | ~ $i(v0) | ? [v5: int] : ? [v6: int] : ( ~ (v6 = 0) & ~ % 15.62/2.89 | (v5 = 0) & mem(v0, v2) = v6 & mem(v0, v1) = v5)) % 15.62/2.89 | % 15.62/2.89 | ALPHA: (a_def) implies: % 15.62/2.89 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (a(v0, v1) = v2) | ~ % 15.62/2.89 | $i(v1) | ~ $i(v0) | ? [v3: $i] : (u(v0, v3) = v2 & s(v1) = v3 & % 15.62/2.89 | $i(v3) & $i(v2))) % 15.62/2.89 | % 15.62/2.89 | ALPHA: (n_def) implies: % 15.94/2.89 | (6) ! [v0: $i] : ! [v1: $i] : ( ~ (n(v0) = v1) | ~ $i(v0) | (a(v0, v0) = % 15.94/2.89 | v1 & $i(v1))) % 15.94/2.89 | % 15.94/2.89 | ALPHA: (subq_2158_39278) implies: % 15.94/2.89 | (7) $i(e) % 15.94/2.89 | (8) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.94/2.89 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 15.94/2.89 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 15.94/2.89 | ? [v15: $i] : ? [v16: $i] : ? [v17: $i] : ? [v18: $i] : ? [v19: % 15.94/2.89 | $i] : ? [v20: $i] : ? [v21: $i] : ? [v22: $i] : ? [v23: int] : ( % 15.94/2.89 | ~ (v23 = 0) & p(v3) = v4 & p(v1) = v19 & n(v14) = v15 & n(v6) = v7 & % 15.94/2.89 | n(v3) = v6 & n(v1) = v8 & n(v0) = v1 & n(e) = v0 & a(v18, v19) = v20 % 15.94/2.89 | & a(v13, v1) = v14 & a(v11, v8) = v12 & a(v7, v8) = v9 & a(v3, v4) = % 15.94/2.89 | v17 & a(v2, v4) = v5 & u(v17, v20) = v21 & u(v16, v21) = v22 & u(v12, % 15.94/2.89 | v15) = v16 & u(v5, v9) = v10 & s(v6) = v18 & s(v3) = v13 & s(v2) = % 15.94/2.89 | v11 & s(v1) = v2 & s(v0) = v3 & subq(v10, v22) = v23 & $i(v22) & % 15.94/2.89 | $i(v21) & $i(v20) & $i(v19) & $i(v18) & $i(v17) & $i(v16) & $i(v15) & % 15.94/2.89 | $i(v14) & $i(v13) & $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & % 15.94/2.89 | $i(v7) & $i(v6) & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & % 15.94/2.89 | $i(v0)) % 15.94/2.89 | % 15.94/2.89 | ALPHA: (function-axioms) implies: % 15.94/2.89 | (9) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (s(v2) = v1) | % 15.94/2.89 | ~ (s(v2) = v0)) % 15.94/2.89 | (10) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] % 15.94/2.89 | : ! [v3: $i] : (v1 = v0 | ~ (mem(v3, v2) = v1) | ~ (mem(v3, v2) = % 15.94/2.89 | v0)) % 15.94/2.89 | % 15.94/2.89 | DELTA: instantiating (8) with fresh symbols all_29_0, all_29_1, all_29_2, % 15.94/2.89 | all_29_3, all_29_4, all_29_5, all_29_6, all_29_7, all_29_8, all_29_9, % 15.94/2.89 | all_29_10, all_29_11, all_29_12, all_29_13, all_29_14, all_29_15, % 15.94/2.89 | all_29_16, all_29_17, all_29_18, all_29_19, all_29_20, all_29_21, % 15.94/2.89 | all_29_22, all_29_23 gives: % 15.94/2.90 | (11) ~ (all_29_0 = 0) & p(all_29_20) = all_29_19 & p(all_29_22) = all_29_4 % 15.94/2.90 | & n(all_29_9) = all_29_8 & n(all_29_17) = all_29_16 & n(all_29_20) = % 15.94/2.90 | all_29_17 & n(all_29_22) = all_29_15 & n(all_29_23) = all_29_22 & n(e) % 15.94/2.90 | = all_29_23 & a(all_29_5, all_29_4) = all_29_3 & a(all_29_10, % 15.94/2.90 | all_29_22) = all_29_9 & a(all_29_12, all_29_15) = all_29_11 & % 15.94/2.90 | a(all_29_16, all_29_15) = all_29_14 & a(all_29_20, all_29_19) = % 15.94/2.90 | all_29_6 & a(all_29_21, all_29_19) = all_29_18 & u(all_29_6, all_29_3) % 15.94/2.90 | = all_29_2 & u(all_29_7, all_29_2) = all_29_1 & u(all_29_11, all_29_8) % 15.94/2.90 | = all_29_7 & u(all_29_18, all_29_14) = all_29_13 & s(all_29_17) = % 15.94/2.90 | all_29_5 & s(all_29_20) = all_29_10 & s(all_29_21) = all_29_12 & % 15.94/2.90 | s(all_29_22) = all_29_21 & s(all_29_23) = all_29_20 & subq(all_29_13, % 15.94/2.90 | all_29_1) = all_29_0 & $i(all_29_1) & $i(all_29_2) & $i(all_29_3) & % 15.94/2.90 | $i(all_29_4) & $i(all_29_5) & $i(all_29_6) & $i(all_29_7) & % 15.94/2.90 | $i(all_29_8) & $i(all_29_9) & $i(all_29_10) & $i(all_29_11) & % 15.94/2.90 | $i(all_29_12) & $i(all_29_13) & $i(all_29_14) & $i(all_29_15) & % 15.94/2.90 | $i(all_29_16) & $i(all_29_17) & $i(all_29_18) & $i(all_29_19) & % 15.94/2.90 | $i(all_29_20) & $i(all_29_21) & $i(all_29_22) & $i(all_29_23) % 15.94/2.90 | % 15.94/2.90 | ALPHA: (11) implies: % 15.94/2.90 | (12) ~ (all_29_0 = 0) % 15.94/2.90 | (13) $i(all_29_22) % 15.94/2.90 | (14) $i(all_29_21) % 15.94/2.90 | (15) $i(all_29_20) % 15.94/2.90 | (16) $i(all_29_19) % 15.94/2.90 | (17) $i(all_29_16) % 15.94/2.90 | (18) $i(all_29_15) % 15.94/2.90 | (19) $i(all_29_13) % 15.94/2.90 | (20) $i(all_29_12) % 15.94/2.90 | (21) $i(all_29_10) % 15.94/2.90 | (22) $i(all_29_9) % 15.94/2.90 | (23) $i(all_29_7) % 15.94/2.90 | (24) $i(all_29_5) % 15.94/2.90 | (25) $i(all_29_4) % 15.94/2.90 | (26) $i(all_29_2) % 15.94/2.90 | (27) $i(all_29_1) % 15.94/2.90 | (28) subq(all_29_13, all_29_1) = all_29_0 % 15.94/2.90 | (29) s(all_29_23) = all_29_20 % 15.94/2.90 | (30) s(all_29_22) = all_29_21 % 15.94/2.90 | (31) s(all_29_20) = all_29_10 % 15.94/2.90 | (32) s(all_29_17) = all_29_5 % 15.94/2.90 | (33) u(all_29_18, all_29_14) = all_29_13 % 15.94/2.90 | (34) u(all_29_11, all_29_8) = all_29_7 % 15.94/2.90 | (35) u(all_29_7, all_29_2) = all_29_1 % 15.94/2.90 | (36) u(all_29_6, all_29_3) = all_29_2 % 15.94/2.90 | (37) a(all_29_21, all_29_19) = all_29_18 % 15.94/2.90 | (38) a(all_29_20, all_29_19) = all_29_6 % 15.94/2.90 | (39) a(all_29_16, all_29_15) = all_29_14 % 15.94/2.90 | (40) a(all_29_12, all_29_15) = all_29_11 % 15.94/2.90 | (41) a(all_29_10, all_29_22) = all_29_9 % 15.94/2.90 | (42) a(all_29_5, all_29_4) = all_29_3 % 15.94/2.90 | (43) n(e) = all_29_23 % 15.94/2.90 | (44) n(all_29_23) = all_29_22 % 15.94/2.90 | (45) n(all_29_22) = all_29_15 % 15.94/2.90 | (46) n(all_29_20) = all_29_17 % 15.94/2.90 | (47) n(all_29_17) = all_29_16 % 15.94/2.90 | (48) n(all_29_9) = all_29_8 % 15.94/2.90 | % 15.94/2.90 | GROUND_INST: instantiating (1) with all_29_13, all_29_1, all_29_0, simplifying % 15.94/2.90 | with (19), (27), (28) gives: % 15.94/2.90 | (49) all_29_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & mem(v0, % 15.94/2.90 | all_29_1) = v1 & mem(v0, all_29_13) = 0 & $i(v0)) % 15.94/2.90 | % 15.94/2.90 | GROUND_INST: instantiating (5) with all_29_21, all_29_19, all_29_18, % 15.94/2.90 | simplifying with (14), (16), (37) gives: % 15.94/2.90 | (50) ? [v0: $i] : (u(all_29_21, v0) = all_29_18 & s(all_29_19) = v0 & % 15.94/2.90 | $i(v0) & $i(all_29_18)) % 15.94/2.90 | % 15.94/2.91 | GROUND_INST: instantiating (5) with all_29_20, all_29_19, all_29_6, % 15.94/2.91 | simplifying with (15), (16), (38) gives: % 15.94/2.91 | (51) ? [v0: $i] : (u(all_29_20, v0) = all_29_6 & s(all_29_19) = v0 & % 15.94/2.91 | $i(v0) & $i(all_29_6)) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (5) with all_29_16, all_29_15, all_29_14, % 15.94/2.91 | simplifying with (17), (18), (39) gives: % 15.94/2.91 | (52) ? [v0: $i] : (u(all_29_16, v0) = all_29_14 & s(all_29_15) = v0 & % 15.94/2.91 | $i(v0) & $i(all_29_14)) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (5) with all_29_12, all_29_15, all_29_11, % 15.94/2.91 | simplifying with (18), (20), (40) gives: % 15.94/2.91 | (53) ? [v0: $i] : (u(all_29_12, v0) = all_29_11 & s(all_29_15) = v0 & % 15.94/2.91 | $i(v0) & $i(all_29_11)) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (5) with all_29_10, all_29_22, all_29_9, % 15.94/2.91 | simplifying with (13), (21), (41) gives: % 15.94/2.91 | (54) ? [v0: $i] : (u(all_29_10, v0) = all_29_9 & s(all_29_22) = v0 & % 15.94/2.91 | $i(v0) & $i(all_29_9)) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (5) with all_29_5, all_29_4, all_29_3, simplifying % 15.94/2.91 | with (24), (25), (42) gives: % 15.94/2.91 | (55) ? [v0: $i] : (u(all_29_5, v0) = all_29_3 & s(all_29_4) = v0 & $i(v0) % 15.94/2.91 | & $i(all_29_3)) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with e, all_29_23, simplifying with (7), (43) % 15.94/2.91 | gives: % 15.94/2.91 | (56) a(e, e) = all_29_23 & $i(all_29_23) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (56) implies: % 15.94/2.91 | (57) $i(all_29_23) % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with all_29_23, all_29_22, simplifying with % 15.94/2.91 | (44), (57) gives: % 15.94/2.91 | (58) a(all_29_23, all_29_23) = all_29_22 & $i(all_29_22) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (58) implies: % 15.94/2.91 | (59) a(all_29_23, all_29_23) = all_29_22 % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with all_29_22, all_29_15, simplifying with % 15.94/2.91 | (13), (45) gives: % 15.94/2.91 | (60) a(all_29_22, all_29_22) = all_29_15 & $i(all_29_15) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (60) implies: % 15.94/2.91 | (61) a(all_29_22, all_29_22) = all_29_15 % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with all_29_20, all_29_17, simplifying with % 15.94/2.91 | (15), (46) gives: % 15.94/2.91 | (62) a(all_29_20, all_29_20) = all_29_17 & $i(all_29_17) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (62) implies: % 15.94/2.91 | (63) $i(all_29_17) % 15.94/2.91 | (64) a(all_29_20, all_29_20) = all_29_17 % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with all_29_17, all_29_16, simplifying with % 15.94/2.91 | (47), (63) gives: % 15.94/2.91 | (65) a(all_29_17, all_29_17) = all_29_16 & $i(all_29_16) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (65) implies: % 15.94/2.91 | (66) a(all_29_17, all_29_17) = all_29_16 % 15.94/2.91 | % 15.94/2.91 | GROUND_INST: instantiating (6) with all_29_9, all_29_8, simplifying with (22), % 15.94/2.91 | (48) gives: % 15.94/2.91 | (67) a(all_29_9, all_29_9) = all_29_8 & $i(all_29_8) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (67) implies: % 15.94/2.91 | (68) a(all_29_9, all_29_9) = all_29_8 % 15.94/2.91 | % 15.94/2.91 | DELTA: instantiating (55) with fresh symbol all_37_0 gives: % 15.94/2.91 | (69) u(all_29_5, all_37_0) = all_29_3 & s(all_29_4) = all_37_0 & % 15.94/2.91 | $i(all_37_0) & $i(all_29_3) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (69) implies: % 15.94/2.91 | (70) $i(all_29_3) % 15.94/2.91 | (71) $i(all_37_0) % 15.94/2.91 | (72) u(all_29_5, all_37_0) = all_29_3 % 15.94/2.91 | % 15.94/2.91 | DELTA: instantiating (53) with fresh symbol all_39_0 gives: % 15.94/2.91 | (73) u(all_29_12, all_39_0) = all_29_11 & s(all_29_15) = all_39_0 & % 15.94/2.91 | $i(all_39_0) & $i(all_29_11) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (73) implies: % 15.94/2.91 | (74) $i(all_29_11) % 15.94/2.91 | (75) s(all_29_15) = all_39_0 % 15.94/2.91 | (76) u(all_29_12, all_39_0) = all_29_11 % 15.94/2.91 | % 15.94/2.91 | DELTA: instantiating (52) with fresh symbol all_41_0 gives: % 15.94/2.91 | (77) u(all_29_16, all_41_0) = all_29_14 & s(all_29_15) = all_41_0 & % 15.94/2.91 | $i(all_41_0) & $i(all_29_14) % 15.94/2.91 | % 15.94/2.91 | ALPHA: (77) implies: % 15.94/2.92 | (78) $i(all_29_14) % 15.94/2.92 | (79) $i(all_41_0) % 15.94/2.92 | (80) s(all_29_15) = all_41_0 % 15.94/2.92 | (81) u(all_29_16, all_41_0) = all_29_14 % 15.94/2.92 | % 15.94/2.92 | DELTA: instantiating (54) with fresh symbol all_43_0 gives: % 15.94/2.92 | (82) u(all_29_10, all_43_0) = all_29_9 & s(all_29_22) = all_43_0 & % 15.94/2.92 | $i(all_43_0) & $i(all_29_9) % 15.94/2.92 | % 15.94/2.92 | ALPHA: (82) implies: % 15.94/2.92 | (83) s(all_29_22) = all_43_0 % 15.94/2.92 | (84) u(all_29_10, all_43_0) = all_29_9 % 15.94/2.92 | % 15.94/2.92 | DELTA: instantiating (51) with fresh symbol all_45_0 gives: % 15.94/2.92 | (85) u(all_29_20, all_45_0) = all_29_6 & s(all_29_19) = all_45_0 & % 15.94/2.92 | $i(all_45_0) & $i(all_29_6) % 15.94/2.92 | % 15.94/2.92 | ALPHA: (85) implies: % 15.94/2.92 | (86) $i(all_29_6) % 15.94/2.92 | (87) s(all_29_19) = all_45_0 % 15.94/2.92 | (88) u(all_29_20, all_45_0) = all_29_6 % 15.94/2.92 | % 15.94/2.92 | DELTA: instantiating (50) with fresh symbol all_47_0 gives: % 15.94/2.92 | (89) u(all_29_21, all_47_0) = all_29_18 & s(all_29_19) = all_47_0 & % 15.94/2.92 | $i(all_47_0) & $i(all_29_18) % 15.94/2.92 | % 15.94/2.92 | ALPHA: (89) implies: % 15.94/2.92 | (90) $i(all_29_18) % 15.94/2.92 | (91) $i(all_47_0) % 15.94/2.92 | (92) s(all_29_19) = all_47_0 % 15.94/2.92 | (93) u(all_29_21, all_47_0) = all_29_18 % 15.94/2.92 | % 15.94/2.92 | BETA: splitting (49) gives: % 15.94/2.92 | % 15.94/2.92 | Case 1: % 15.94/2.92 | | % 15.94/2.92 | | (94) all_29_0 = 0 % 15.94/2.92 | | % 15.94/2.92 | | REDUCE: (12), (94) imply: % 15.94/2.92 | | (95) $false % 15.94/2.92 | | % 15.94/2.92 | | CLOSE: (95) is inconsistent. % 15.94/2.92 | | % 15.94/2.92 | Case 2: % 15.94/2.92 | | % 15.94/2.92 | | (96) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & mem(v0, all_29_1) = v1 & % 15.94/2.92 | | mem(v0, all_29_13) = 0 & $i(v0)) % 15.94/2.92 | | % 15.94/2.92 | | DELTA: instantiating (96) with fresh symbols all_53_0, all_53_1 gives: % 15.94/2.92 | | (97) ~ (all_53_0 = 0) & mem(all_53_1, all_29_1) = all_53_0 & % 15.94/2.92 | | mem(all_53_1, all_29_13) = 0 & $i(all_53_1) % 15.94/2.92 | | % 15.94/2.92 | | ALPHA: (97) implies: % 15.94/2.92 | | (98) ~ (all_53_0 = 0) % 15.94/2.92 | | (99) $i(all_53_1) % 15.94/2.92 | | (100) mem(all_53_1, all_29_13) = 0 % 15.94/2.92 | | (101) mem(all_53_1, all_29_1) = all_53_0 % 15.94/2.92 | | % 15.94/2.92 | | GROUND_INST: instantiating (9) with all_29_21, all_43_0, all_29_22, % 15.94/2.92 | | simplifying with (30), (83) gives: % 15.94/2.92 | | (102) all_43_0 = all_29_21 % 15.94/2.92 | | % 15.94/2.92 | | GROUND_INST: instantiating (9) with all_45_0, all_47_0, all_29_19, % 15.94/2.92 | | simplifying with (87), (92) gives: % 15.94/2.92 | | (103) all_47_0 = all_45_0 % 15.94/2.92 | | % 15.94/2.92 | | GROUND_INST: instantiating (9) with all_39_0, all_41_0, all_29_15, % 15.94/2.92 | | simplifying with (75), (80) gives: % 15.94/2.92 | | (104) all_41_0 = all_39_0 % 15.94/2.92 | | % 15.94/2.92 | | REDUCE: (84), (102) imply: % 15.94/2.92 | | (105) u(all_29_10, all_29_21) = all_29_9 % 15.94/2.92 | | % 15.94/2.92 | | REDUCE: (81), (104) imply: % 15.94/2.92 | | (106) u(all_29_16, all_39_0) = all_29_14 % 15.94/2.92 | | % 15.94/2.92 | | REDUCE: (93), (103) imply: % 15.94/2.92 | | (107) u(all_29_21, all_45_0) = all_29_18 % 15.94/2.92 | | % 15.94/2.93 | | REDUCE: (91), (103) imply: % 15.94/2.93 | | (108) $i(all_45_0) % 15.94/2.93 | | % 15.94/2.93 | | REDUCE: (79), (104) imply: % 15.94/2.93 | | (109) $i(all_39_0) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (3) with all_53_1, all_29_18, all_29_14, % 15.94/2.93 | | all_29_13, simplifying with (33), (78), (90), (99), (100) % 15.94/2.93 | | gives: % 15.94/2.93 | | (110) ? [v0: any] : ? [v1: any] : (mem(all_53_1, all_29_14) = v1 & % 15.94/2.93 | | mem(all_53_1, all_29_18) = v0 & (v1 = 0 | v0 = 0)) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (4) with all_53_1, all_29_7, all_29_2, all_29_1, % 15.94/2.93 | | all_53_0, simplifying with (23), (26), (35), (99), (101) gives: % 15.94/2.93 | | (111) all_53_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 % 15.94/2.93 | | = 0) & mem(all_53_1, all_29_2) = v1 & mem(all_53_1, all_29_7) = % 15.94/2.93 | | v0) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (5) with all_29_23, all_29_23, all_29_22, % 15.94/2.93 | | simplifying with (57), (59) gives: % 15.94/2.93 | | (112) ? [v0: $i] : (u(all_29_23, v0) = all_29_22 & s(all_29_23) = v0 & % 15.94/2.93 | | $i(v0) & $i(all_29_22)) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (5) with all_29_22, all_29_22, all_29_15, % 15.94/2.93 | | simplifying with (13), (61) gives: % 15.94/2.93 | | (113) ? [v0: $i] : (u(all_29_22, v0) = all_29_15 & s(all_29_22) = v0 & % 15.94/2.93 | | $i(v0) & $i(all_29_15)) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (5) with all_29_20, all_29_20, all_29_17, % 15.94/2.93 | | simplifying with (15), (64) gives: % 15.94/2.93 | | (114) ? [v0: $i] : (u(all_29_20, v0) = all_29_17 & s(all_29_20) = v0 & % 15.94/2.93 | | $i(v0) & $i(all_29_17)) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (5) with all_29_17, all_29_17, all_29_16, % 15.94/2.93 | | simplifying with (63), (66) gives: % 15.94/2.93 | | (115) ? [v0: $i] : (u(all_29_17, v0) = all_29_16 & s(all_29_17) = v0 & % 15.94/2.93 | | $i(v0) & $i(all_29_16)) % 15.94/2.93 | | % 15.94/2.93 | | GROUND_INST: instantiating (5) with all_29_9, all_29_9, all_29_8, % 15.94/2.93 | | simplifying with (22), (68) gives: % 15.94/2.93 | | (116) ? [v0: $i] : (u(all_29_9, v0) = all_29_8 & s(all_29_9) = v0 & % 15.94/2.93 | | $i(v0) & $i(all_29_8)) % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (116) with fresh symbol all_69_0 gives: % 15.94/2.93 | | (117) u(all_29_9, all_69_0) = all_29_8 & s(all_29_9) = all_69_0 & % 15.94/2.93 | | $i(all_69_0) & $i(all_29_8) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (117) implies: % 15.94/2.93 | | (118) $i(all_29_8) % 15.94/2.93 | | (119) $i(all_69_0) % 15.94/2.93 | | (120) u(all_29_9, all_69_0) = all_29_8 % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (115) with fresh symbol all_71_0 gives: % 15.94/2.93 | | (121) u(all_29_17, all_71_0) = all_29_16 & s(all_29_17) = all_71_0 & % 15.94/2.93 | | $i(all_71_0) & $i(all_29_16) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (121) implies: % 15.94/2.93 | | (122) $i(all_71_0) % 15.94/2.93 | | (123) s(all_29_17) = all_71_0 % 15.94/2.93 | | (124) u(all_29_17, all_71_0) = all_29_16 % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (114) with fresh symbol all_73_0 gives: % 15.94/2.93 | | (125) u(all_29_20, all_73_0) = all_29_17 & s(all_29_20) = all_73_0 & % 15.94/2.93 | | $i(all_73_0) & $i(all_29_17) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (125) implies: % 15.94/2.93 | | (126) $i(all_73_0) % 15.94/2.93 | | (127) s(all_29_20) = all_73_0 % 15.94/2.93 | | (128) u(all_29_20, all_73_0) = all_29_17 % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (113) with fresh symbol all_75_0 gives: % 15.94/2.93 | | (129) u(all_29_22, all_75_0) = all_29_15 & s(all_29_22) = all_75_0 & % 15.94/2.93 | | $i(all_75_0) & $i(all_29_15) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (129) implies: % 15.94/2.93 | | (130) $i(all_75_0) % 15.94/2.93 | | (131) s(all_29_22) = all_75_0 % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (112) with fresh symbol all_77_0 gives: % 15.94/2.93 | | (132) u(all_29_23, all_77_0) = all_29_22 & s(all_29_23) = all_77_0 & % 15.94/2.93 | | $i(all_77_0) & $i(all_29_22) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (132) implies: % 15.94/2.93 | | (133) $i(all_77_0) % 15.94/2.93 | | (134) s(all_29_23) = all_77_0 % 15.94/2.93 | | % 15.94/2.93 | | DELTA: instantiating (110) with fresh symbols all_81_0, all_81_1 gives: % 15.94/2.93 | | (135) mem(all_53_1, all_29_14) = all_81_0 & mem(all_53_1, all_29_18) = % 15.94/2.93 | | all_81_1 & (all_81_0 = 0 | all_81_1 = 0) % 15.94/2.93 | | % 15.94/2.93 | | ALPHA: (135) implies: % 15.94/2.93 | | (136) mem(all_53_1, all_29_18) = all_81_1 % 15.94/2.94 | | (137) mem(all_53_1, all_29_14) = all_81_0 % 15.94/2.94 | | (138) all_81_0 = 0 | all_81_1 = 0 % 15.94/2.94 | | % 15.94/2.94 | | BETA: splitting (111) gives: % 15.94/2.94 | | % 15.94/2.94 | | Case 1: % 15.94/2.94 | | | % 15.94/2.94 | | | (139) all_53_0 = 0 % 15.94/2.94 | | | % 15.94/2.94 | | | REDUCE: (98), (139) imply: % 15.94/2.94 | | | (140) $false % 15.94/2.94 | | | % 15.94/2.94 | | | CLOSE: (140) is inconsistent. % 15.94/2.94 | | | % 15.94/2.94 | | Case 2: % 15.94/2.94 | | | % 15.94/2.94 | | | (141) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 15.94/2.94 | | | mem(all_53_1, all_29_2) = v1 & mem(all_53_1, all_29_7) = v0) % 15.94/2.94 | | | % 15.94/2.94 | | | DELTA: instantiating (141) with fresh symbols all_87_0, all_87_1 gives: % 15.94/2.94 | | | (142) ~ (all_87_0 = 0) & ~ (all_87_1 = 0) & mem(all_53_1, all_29_2) = % 15.94/2.94 | | | all_87_0 & mem(all_53_1, all_29_7) = all_87_1 % 15.94/2.94 | | | % 15.94/2.94 | | | ALPHA: (142) implies: % 15.94/2.94 | | | (143) ~ (all_87_1 = 0) % 15.94/2.94 | | | (144) ~ (all_87_0 = 0) % 15.94/2.94 | | | (145) mem(all_53_1, all_29_7) = all_87_1 % 15.94/2.94 | | | (146) mem(all_53_1, all_29_2) = all_87_0 % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (9) with all_29_20, all_77_0, all_29_23, % 15.94/2.94 | | | simplifying with (29), (134) gives: % 15.94/2.94 | | | (147) all_77_0 = all_29_20 % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (9) with all_29_21, all_75_0, all_29_22, % 15.94/2.94 | | | simplifying with (30), (131) gives: % 15.94/2.94 | | | (148) all_75_0 = all_29_21 % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (9) with all_29_10, all_73_0, all_29_20, % 15.94/2.94 | | | simplifying with (31), (127) gives: % 15.94/2.94 | | | (149) all_73_0 = all_29_10 % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (9) with all_29_5, all_71_0, all_29_17, % 15.94/2.94 | | | simplifying with (32), (123) gives: % 15.94/2.94 | | | (150) all_71_0 = all_29_5 % 15.94/2.94 | | | % 15.94/2.94 | | | REDUCE: (124), (150) imply: % 15.94/2.94 | | | (151) u(all_29_17, all_29_5) = all_29_16 % 15.94/2.94 | | | % 15.94/2.94 | | | REDUCE: (128), (149) imply: % 15.94/2.94 | | | (152) u(all_29_20, all_29_10) = all_29_17 % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (4) with all_53_1, all_29_11, all_29_8, % 15.94/2.94 | | | all_29_7, all_87_1, simplifying with (34), (74), (99), (118), % 15.94/2.94 | | | (145) gives: % 15.94/2.94 | | | (153) all_87_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 15.94/2.94 | | | (v0 = 0) & mem(all_53_1, all_29_8) = v1 & mem(all_53_1, % 15.94/2.94 | | | all_29_11) = v0) % 15.94/2.94 | | | % 15.94/2.94 | | | GROUND_INST: instantiating (4) with all_53_1, all_29_6, all_29_3, % 15.94/2.94 | | | all_29_2, all_87_0, simplifying with (36), (70), (86), (99), % 15.94/2.94 | | | (146) gives: % 15.94/2.94 | | | (154) all_87_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 15.94/2.94 | | | (v0 = 0) & mem(all_53_1, all_29_3) = v1 & mem(all_53_1, % 15.94/2.94 | | | all_29_6) = v0) % 15.94/2.94 | | | % 15.94/2.94 | | | BETA: splitting (138) gives: % 15.94/2.94 | | | % 15.94/2.94 | | | Case 1: % 15.94/2.94 | | | | % 15.94/2.94 | | | | (155) all_81_0 = 0 % 15.94/2.94 | | | | % 15.94/2.94 | | | | REDUCE: (137), (155) imply: % 15.94/2.94 | | | | (156) mem(all_53_1, all_29_14) = 0 % 15.94/2.94 | | | | % 15.94/2.94 | | | | BETA: splitting (154) gives: % 15.94/2.94 | | | | % 15.94/2.94 | | | | Case 1: % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | (157) all_87_0 = 0 % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | REDUCE: (144), (157) imply: % 15.94/2.94 | | | | | (158) $false % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | CLOSE: (158) is inconsistent. % 15.94/2.94 | | | | | % 15.94/2.94 | | | | Case 2: % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | (159) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 15.94/2.94 | | | | | mem(all_53_1, all_29_3) = v1 & mem(all_53_1, all_29_6) = % 15.94/2.94 | | | | | v0) % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | DELTA: instantiating (159) with fresh symbols all_104_0, all_104_1 % 15.94/2.94 | | | | | gives: % 15.94/2.94 | | | | | (160) ~ (all_104_0 = 0) & ~ (all_104_1 = 0) & mem(all_53_1, % 15.94/2.94 | | | | | all_29_3) = all_104_0 & mem(all_53_1, all_29_6) = all_104_1 % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | ALPHA: (160) implies: % 15.94/2.94 | | | | | (161) ~ (all_104_1 = 0) % 15.94/2.94 | | | | | (162) ~ (all_104_0 = 0) % 15.94/2.94 | | | | | (163) mem(all_53_1, all_29_6) = all_104_1 % 15.94/2.94 | | | | | (164) mem(all_53_1, all_29_3) = all_104_0 % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | BETA: splitting (153) gives: % 15.94/2.94 | | | | | % 15.94/2.94 | | | | | Case 1: % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | (165) all_87_1 = 0 % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | REDUCE: (143), (165) imply: % 15.94/2.94 | | | | | | (166) $false % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | CLOSE: (166) is inconsistent. % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | Case 2: % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | (167) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 15.94/2.94 | | | | | | mem(all_53_1, all_29_8) = v1 & mem(all_53_1, all_29_11) = % 15.94/2.94 | | | | | | v0) % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | DELTA: instantiating (167) with fresh symbols all_109_0, all_109_1 % 15.94/2.94 | | | | | | gives: % 15.94/2.94 | | | | | | (168) ~ (all_109_0 = 0) & ~ (all_109_1 = 0) & mem(all_53_1, % 15.94/2.94 | | | | | | all_29_8) = all_109_0 & mem(all_53_1, all_29_11) = % 15.94/2.94 | | | | | | all_109_1 % 15.94/2.94 | | | | | | % 15.94/2.94 | | | | | | ALPHA: (168) implies: % 15.94/2.94 | | | | | | (169) ~ (all_109_1 = 0) % 15.94/2.94 | | | | | | (170) ~ (all_109_0 = 0) % 15.94/2.94 | | | | | | (171) mem(all_53_1, all_29_11) = all_109_1 % 15.94/2.94 | | | | | | (172) mem(all_53_1, all_29_8) = all_109_0 % 15.94/2.94 | | | | | | % 15.94/2.95 | | | | | | GROUND_INST: instantiating (3) with all_53_1, all_29_16, all_39_0, % 15.94/2.95 | | | | | | all_29_14, simplifying with (17), (99), (106), (109), % 15.94/2.95 | | | | | | (156) gives: % 15.94/2.95 | | | | | | (173) ? [v0: any] : ? [v1: any] : (mem(all_53_1, all_39_0) = v1 % 15.94/2.95 | | | | | | & mem(all_53_1, all_29_16) = v0 & (v1 = 0 | v0 = 0)) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_12, all_39_0, % 15.94/2.95 | | | | | | all_29_11, all_109_1, simplifying with (20), (76), % 15.94/2.95 | | | | | | (99), (109), (171) gives: % 15.94/2.95 | | | | | | (174) all_109_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.95 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_39_0) = v1 & % 15.94/2.95 | | | | | | mem(all_53_1, all_29_12) = v0) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_9, all_69_0, % 15.94/2.95 | | | | | | all_29_8, all_109_0, simplifying with (22), (99), % 15.94/2.95 | | | | | | (119), (120), (172) gives: % 15.94/2.95 | | | | | | (175) all_109_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.95 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_69_0) = v1 & % 15.94/2.95 | | | | | | mem(all_53_1, all_29_9) = v0) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_20, all_45_0, % 15.94/2.95 | | | | | | all_29_6, all_104_1, simplifying with (15), (88), (99), % 15.94/2.95 | | | | | | (108), (163) gives: % 15.94/2.95 | | | | | | (176) all_104_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.95 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_45_0) = v1 & % 15.94/2.95 | | | | | | mem(all_53_1, all_29_20) = v0) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_5, all_37_0, % 15.94/2.95 | | | | | | all_29_3, all_104_0, simplifying with (24), (71), (72), % 15.94/2.95 | | | | | | (99), (164) gives: % 15.94/2.95 | | | | | | (177) all_104_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.95 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_37_0) = v1 & % 15.94/2.95 | | | | | | mem(all_53_1, all_29_5) = v0) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | DELTA: instantiating (173) with fresh symbols all_116_0, all_116_1 % 15.94/2.95 | | | | | | gives: % 15.94/2.95 | | | | | | (178) mem(all_53_1, all_39_0) = all_116_0 & mem(all_53_1, % 15.94/2.95 | | | | | | all_29_16) = all_116_1 & (all_116_0 = 0 | all_116_1 = 0) % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | ALPHA: (178) implies: % 15.94/2.95 | | | | | | (179) mem(all_53_1, all_29_16) = all_116_1 % 15.94/2.95 | | | | | | (180) mem(all_53_1, all_39_0) = all_116_0 % 15.94/2.95 | | | | | | (181) all_116_0 = 0 | all_116_1 = 0 % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | BETA: splitting (174) gives: % 15.94/2.95 | | | | | | % 15.94/2.95 | | | | | | Case 1: % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | (182) all_109_1 = 0 % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | REDUCE: (169), (182) imply: % 15.94/2.95 | | | | | | | (183) $false % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | CLOSE: (183) is inconsistent. % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | Case 2: % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | (184) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) % 15.94/2.95 | | | | | | | & mem(all_53_1, all_39_0) = v1 & mem(all_53_1, % 15.94/2.95 | | | | | | | all_29_12) = v0) % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | DELTA: instantiating (184) with fresh symbols all_122_0, all_122_1 % 15.94/2.95 | | | | | | | gives: % 15.94/2.95 | | | | | | | (185) ~ (all_122_0 = 0) & ~ (all_122_1 = 0) & mem(all_53_1, % 15.94/2.95 | | | | | | | all_39_0) = all_122_0 & mem(all_53_1, all_29_12) = % 15.94/2.95 | | | | | | | all_122_1 % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | ALPHA: (185) implies: % 15.94/2.95 | | | | | | | (186) ~ (all_122_0 = 0) % 15.94/2.95 | | | | | | | (187) mem(all_53_1, all_39_0) = all_122_0 % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | BETA: splitting (177) gives: % 15.94/2.95 | | | | | | | % 15.94/2.95 | | | | | | | Case 1: % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | (188) all_104_0 = 0 % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | REDUCE: (162), (188) imply: % 15.94/2.95 | | | | | | | | (189) $false % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | CLOSE: (189) is inconsistent. % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | Case 2: % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | (190) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = % 15.94/2.95 | | | | | | | | 0) & mem(all_53_1, all_37_0) = v1 & mem(all_53_1, % 15.94/2.95 | | | | | | | | all_29_5) = v0) % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | DELTA: instantiating (190) with fresh symbols all_127_0, % 15.94/2.95 | | | | | | | | all_127_1 gives: % 15.94/2.95 | | | | | | | | (191) ~ (all_127_0 = 0) & ~ (all_127_1 = 0) & mem(all_53_1, % 15.94/2.95 | | | | | | | | all_37_0) = all_127_0 & mem(all_53_1, all_29_5) = % 15.94/2.95 | | | | | | | | all_127_1 % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | ALPHA: (191) implies: % 15.94/2.95 | | | | | | | | (192) ~ (all_127_1 = 0) % 15.94/2.95 | | | | | | | | (193) mem(all_53_1, all_29_5) = all_127_1 % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | BETA: splitting (176) gives: % 15.94/2.95 | | | | | | | | % 15.94/2.95 | | | | | | | | Case 1: % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | (194) all_104_1 = 0 % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | REDUCE: (161), (194) imply: % 15.94/2.95 | | | | | | | | | (195) $false % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | CLOSE: (195) is inconsistent. % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | Case 2: % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | (196) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = % 15.94/2.95 | | | | | | | | | 0) & mem(all_53_1, all_45_0) = v1 & mem(all_53_1, % 15.94/2.95 | | | | | | | | | all_29_20) = v0) % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | DELTA: instantiating (196) with fresh symbols all_132_0, % 15.94/2.95 | | | | | | | | | all_132_1 gives: % 15.94/2.95 | | | | | | | | | (197) ~ (all_132_0 = 0) & ~ (all_132_1 = 0) & % 15.94/2.95 | | | | | | | | | mem(all_53_1, all_45_0) = all_132_0 & mem(all_53_1, % 15.94/2.95 | | | | | | | | | all_29_20) = all_132_1 % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | ALPHA: (197) implies: % 15.94/2.95 | | | | | | | | | (198) ~ (all_132_1 = 0) % 15.94/2.95 | | | | | | | | | (199) mem(all_53_1, all_29_20) = all_132_1 % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | BETA: splitting (175) gives: % 15.94/2.95 | | | | | | | | | % 15.94/2.95 | | | | | | | | | Case 1: % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | (200) all_109_0 = 0 % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | REDUCE: (170), (200) imply: % 15.94/2.95 | | | | | | | | | | (201) $false % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | CLOSE: (201) is inconsistent. % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | Case 2: % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | (202) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 % 15.94/2.95 | | | | | | | | | | = 0) & mem(all_53_1, all_69_0) = v1 & % 15.94/2.95 | | | | | | | | | | mem(all_53_1, all_29_9) = v0) % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | DELTA: instantiating (202) with fresh symbols all_137_0, % 15.94/2.95 | | | | | | | | | | all_137_1 gives: % 15.94/2.95 | | | | | | | | | | (203) ~ (all_137_0 = 0) & ~ (all_137_1 = 0) & % 15.94/2.95 | | | | | | | | | | mem(all_53_1, all_69_0) = all_137_0 & mem(all_53_1, % 15.94/2.95 | | | | | | | | | | all_29_9) = all_137_1 % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | ALPHA: (203) implies: % 15.94/2.95 | | | | | | | | | | (204) ~ (all_137_1 = 0) % 15.94/2.95 | | | | | | | | | | (205) mem(all_53_1, all_29_9) = all_137_1 % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | GROUND_INST: instantiating (10) with all_116_0, all_122_0, % 15.94/2.95 | | | | | | | | | | all_39_0, all_53_1, simplifying with (180), (187) % 15.94/2.95 | | | | | | | | | | gives: % 15.94/2.95 | | | | | | | | | | (206) all_122_0 = all_116_0 % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | REDUCE: (186), (206) imply: % 15.94/2.95 | | | | | | | | | | (207) ~ (all_116_0 = 0) % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | BETA: splitting (181) gives: % 15.94/2.95 | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | Case 1: % 15.94/2.95 | | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | | (208) all_116_0 = 0 % 15.94/2.95 | | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | | REDUCE: (207), (208) imply: % 15.94/2.95 | | | | | | | | | | | (209) $false % 15.94/2.95 | | | | | | | | | | | % 15.94/2.95 | | | | | | | | | | | CLOSE: (209) is inconsistent. % 15.94/2.95 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | Case 2: % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | (210) all_116_1 = 0 % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | REDUCE: (179), (210) imply: % 15.94/2.96 | | | | | | | | | | | (211) mem(all_53_1, all_29_16) = 0 % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | GROUND_INST: instantiating (3) with all_53_1, all_29_17, % 15.94/2.96 | | | | | | | | | | | all_29_5, all_29_16, simplifying with (24), (63), % 15.94/2.96 | | | | | | | | | | | (99), (151), (211) gives: % 15.94/2.96 | | | | | | | | | | | (212) ? [v0: any] : ? [v1: any] : (mem(all_53_1, % 15.94/2.96 | | | | | | | | | | | all_29_5) = v1 & mem(all_53_1, all_29_17) = v0 % 15.94/2.96 | | | | | | | | | | | & (v1 = 0 | v0 = 0)) % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_10, % 15.94/2.96 | | | | | | | | | | | all_29_21, all_29_9, all_137_1, simplifying with % 15.94/2.96 | | | | | | | | | | | (14), (21), (99), (105), (205) gives: % 15.94/2.96 | | | | | | | | | | | (213) all_137_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ % 15.94/2.96 | | | | | | | | | | | (v1 = 0) & ~ (v0 = 0) & mem(all_53_1, % 15.94/2.96 | | | | | | | | | | | all_29_10) = v0 & mem(all_53_1, all_29_21) = % 15.94/2.96 | | | | | | | | | | | v1) % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | DELTA: instantiating (212) with fresh symbols all_152_0, % 15.94/2.96 | | | | | | | | | | | all_152_1 gives: % 15.94/2.96 | | | | | | | | | | | (214) mem(all_53_1, all_29_5) = all_152_0 & % 15.94/2.96 | | | | | | | | | | | mem(all_53_1, all_29_17) = all_152_1 & (all_152_0 % 15.94/2.96 | | | | | | | | | | | = 0 | all_152_1 = 0) % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | ALPHA: (214) implies: % 15.94/2.96 | | | | | | | | | | | (215) mem(all_53_1, all_29_17) = all_152_1 % 15.94/2.96 | | | | | | | | | | | (216) mem(all_53_1, all_29_5) = all_152_0 % 15.94/2.96 | | | | | | | | | | | (217) all_152_0 = 0 | all_152_1 = 0 % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | BETA: splitting (213) gives: % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | Case 1: % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | (218) all_137_1 = 0 % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | REDUCE: (204), (218) imply: % 15.94/2.96 | | | | | | | | | | | | (219) $false % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | CLOSE: (219) is inconsistent. % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | Case 2: % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | (220) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ % 15.94/2.96 | | | | | | | | | | | | (v0 = 0) & mem(all_53_1, all_29_10) = v0 & % 15.94/2.96 | | | | | | | | | | | | mem(all_53_1, all_29_21) = v1) % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | DELTA: instantiating (220) with fresh symbols all_158_0, % 15.94/2.96 | | | | | | | | | | | | all_158_1 gives: % 15.94/2.96 | | | | | | | | | | | | (221) ~ (all_158_0 = 0) & ~ (all_158_1 = 0) & % 15.94/2.96 | | | | | | | | | | | | mem(all_53_1, all_29_10) = all_158_1 & % 15.94/2.96 | | | | | | | | | | | | mem(all_53_1, all_29_21) = all_158_0 % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | ALPHA: (221) implies: % 15.94/2.96 | | | | | | | | | | | | (222) ~ (all_158_1 = 0) % 15.94/2.96 | | | | | | | | | | | | (223) mem(all_53_1, all_29_10) = all_158_1 % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_127_1, all_152_0, % 15.94/2.96 | | | | | | | | | | | | all_29_5, all_53_1, simplifying with (193), (216) % 15.94/2.96 | | | | | | | | | | | | gives: % 15.94/2.96 | | | | | | | | | | | | (224) all_152_0 = all_127_1 % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | BETA: splitting (217) gives: % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | Case 1: % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | (225) all_152_0 = 0 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | COMBINE_EQS: (224), (225) imply: % 15.94/2.96 | | | | | | | | | | | | | (226) all_127_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | REDUCE: (192), (226) imply: % 15.94/2.96 | | | | | | | | | | | | | (227) $false % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | CLOSE: (227) is inconsistent. % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | Case 2: % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | (228) all_152_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | REDUCE: (215), (228) imply: % 15.94/2.96 | | | | | | | | | | | | | (229) mem(all_53_1, all_29_17) = 0 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | GROUND_INST: instantiating (3) with all_53_1, all_29_20, % 15.94/2.96 | | | | | | | | | | | | | all_29_10, all_29_17, simplifying with (15), (21), % 15.94/2.96 | | | | | | | | | | | | | (99), (152), (229) gives: % 15.94/2.96 | | | | | | | | | | | | | (230) ? [v0: any] : ? [v1: any] : (mem(all_53_1, % 15.94/2.96 | | | | | | | | | | | | | all_29_10) = v1 & mem(all_53_1, all_29_20) = % 15.94/2.96 | | | | | | | | | | | | | v0 & (v1 = 0 | v0 = 0)) % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | DELTA: instantiating (230) with fresh symbols all_173_0, % 15.94/2.96 | | | | | | | | | | | | | all_173_1 gives: % 15.94/2.96 | | | | | | | | | | | | | (231) mem(all_53_1, all_29_10) = all_173_0 & % 15.94/2.96 | | | | | | | | | | | | | mem(all_53_1, all_29_20) = all_173_1 & (all_173_0 % 15.94/2.96 | | | | | | | | | | | | | = 0 | all_173_1 = 0) % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | ALPHA: (231) implies: % 15.94/2.96 | | | | | | | | | | | | | (232) mem(all_53_1, all_29_20) = all_173_1 % 15.94/2.96 | | | | | | | | | | | | | (233) mem(all_53_1, all_29_10) = all_173_0 % 15.94/2.96 | | | | | | | | | | | | | (234) all_173_0 = 0 | all_173_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_132_1, all_173_1, % 15.94/2.96 | | | | | | | | | | | | | all_29_20, all_53_1, simplifying with (199), (232) % 15.94/2.96 | | | | | | | | | | | | | gives: % 15.94/2.96 | | | | | | | | | | | | | (235) all_173_1 = all_132_1 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | GROUND_INST: instantiating (10) with all_158_1, all_173_0, % 15.94/2.96 | | | | | | | | | | | | | all_29_10, all_53_1, simplifying with (223), (233) % 15.94/2.96 | | | | | | | | | | | | | gives: % 15.94/2.96 | | | | | | | | | | | | | (236) all_173_0 = all_158_1 % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | BETA: splitting (234) gives: % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | Case 1: % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | (237) all_173_0 = 0 % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | COMBINE_EQS: (236), (237) imply: % 15.94/2.96 | | | | | | | | | | | | | | (238) all_158_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | REDUCE: (222), (238) imply: % 15.94/2.96 | | | | | | | | | | | | | | (239) $false % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | CLOSE: (239) is inconsistent. % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | Case 2: % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | (240) all_173_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | COMBINE_EQS: (235), (240) imply: % 15.94/2.96 | | | | | | | | | | | | | | (241) all_132_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | SIMP: (241) implies: % 15.94/2.96 | | | | | | | | | | | | | | (242) all_132_1 = 0 % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | REDUCE: (198), (242) imply: % 15.94/2.96 | | | | | | | | | | | | | | (243) $false % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | | CLOSE: (243) is inconsistent. % 15.94/2.96 | | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | | End of split % 15.94/2.96 | | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | | End of split % 15.94/2.96 | | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | | End of split % 15.94/2.96 | | | | | | | | | | | % 15.94/2.96 | | | | | | | | | | End of split % 15.94/2.96 | | | | | | | | | | % 15.94/2.96 | | | | | | | | | End of split % 15.94/2.96 | | | | | | | | | % 15.94/2.96 | | | | | | | | End of split % 15.94/2.96 | | | | | | | | % 15.94/2.96 | | | | | | | End of split % 15.94/2.96 | | | | | | | % 15.94/2.96 | | | | | | End of split % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | End of split % 15.94/2.96 | | | | | % 15.94/2.96 | | | | End of split % 15.94/2.96 | | | | % 15.94/2.96 | | | Case 2: % 15.94/2.96 | | | | % 15.94/2.96 | | | | (244) all_81_1 = 0 % 15.94/2.96 | | | | % 15.94/2.96 | | | | REDUCE: (136), (244) imply: % 15.94/2.96 | | | | (245) mem(all_53_1, all_29_18) = 0 % 15.94/2.96 | | | | % 15.94/2.96 | | | | BETA: splitting (154) gives: % 15.94/2.96 | | | | % 15.94/2.96 | | | | Case 1: % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | (246) all_87_0 = 0 % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | REDUCE: (144), (246) imply: % 15.94/2.96 | | | | | (247) $false % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | CLOSE: (247) is inconsistent. % 15.94/2.96 | | | | | % 15.94/2.96 | | | | Case 2: % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | (248) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 15.94/2.96 | | | | | mem(all_53_1, all_29_3) = v1 & mem(all_53_1, all_29_6) = % 15.94/2.96 | | | | | v0) % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | DELTA: instantiating (248) with fresh symbols all_104_0, all_104_1 % 15.94/2.96 | | | | | gives: % 15.94/2.96 | | | | | (249) ~ (all_104_0 = 0) & ~ (all_104_1 = 0) & mem(all_53_1, % 15.94/2.96 | | | | | all_29_3) = all_104_0 & mem(all_53_1, all_29_6) = all_104_1 % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | ALPHA: (249) implies: % 15.94/2.96 | | | | | (250) ~ (all_104_1 = 0) % 15.94/2.96 | | | | | (251) mem(all_53_1, all_29_6) = all_104_1 % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | BETA: splitting (153) gives: % 15.94/2.96 | | | | | % 15.94/2.96 | | | | | Case 1: % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | | (252) all_87_1 = 0 % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | | REDUCE: (143), (252) imply: % 15.94/2.96 | | | | | | (253) $false % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | | CLOSE: (253) is inconsistent. % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | Case 2: % 15.94/2.96 | | | | | | % 15.94/2.96 | | | | | | (254) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) & % 15.94/2.96 | | | | | | mem(all_53_1, all_29_8) = v1 & mem(all_53_1, all_29_11) = % 15.94/2.96 | | | | | | v0) % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | DELTA: instantiating (254) with fresh symbols all_109_0, all_109_1 % 15.94/2.97 | | | | | | gives: % 15.94/2.97 | | | | | | (255) ~ (all_109_0 = 0) & ~ (all_109_1 = 0) & mem(all_53_1, % 15.94/2.97 | | | | | | all_29_8) = all_109_0 & mem(all_53_1, all_29_11) = % 15.94/2.97 | | | | | | all_109_1 % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | ALPHA: (255) implies: % 15.94/2.97 | | | | | | (256) ~ (all_109_0 = 0) % 15.94/2.97 | | | | | | (257) mem(all_53_1, all_29_8) = all_109_0 % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | GROUND_INST: instantiating (3) with all_53_1, all_29_21, all_45_0, % 15.94/2.97 | | | | | | all_29_18, simplifying with (14), (99), (107), (108), % 15.94/2.97 | | | | | | (245) gives: % 15.94/2.97 | | | | | | (258) ? [v0: any] : ? [v1: any] : (mem(all_53_1, all_45_0) = v1 % 15.94/2.97 | | | | | | & mem(all_53_1, all_29_21) = v0 & (v1 = 0 | v0 = 0)) % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_9, all_69_0, % 15.94/2.97 | | | | | | all_29_8, all_109_0, simplifying with (22), (99), % 15.94/2.97 | | | | | | (119), (120), (257) gives: % 15.94/2.97 | | | | | | (259) all_109_0 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.97 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_69_0) = v1 & % 15.94/2.97 | | | | | | mem(all_53_1, all_29_9) = v0) % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_20, all_45_0, % 15.94/2.97 | | | | | | all_29_6, all_104_1, simplifying with (15), (88), (99), % 15.94/2.97 | | | | | | (108), (251) gives: % 15.94/2.97 | | | | | | (260) all_104_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) % 15.94/2.97 | | | | | | & ~ (v0 = 0) & mem(all_53_1, all_45_0) = v1 & % 15.94/2.97 | | | | | | mem(all_53_1, all_29_20) = v0) % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | DELTA: instantiating (258) with fresh symbols all_121_0, all_121_1 % 15.94/2.97 | | | | | | gives: % 15.94/2.97 | | | | | | (261) mem(all_53_1, all_45_0) = all_121_0 & mem(all_53_1, % 15.94/2.97 | | | | | | all_29_21) = all_121_1 & (all_121_0 = 0 | all_121_1 = 0) % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | ALPHA: (261) implies: % 15.94/2.97 | | | | | | (262) mem(all_53_1, all_29_21) = all_121_1 % 15.94/2.97 | | | | | | (263) mem(all_53_1, all_45_0) = all_121_0 % 15.94/2.97 | | | | | | (264) all_121_0 = 0 | all_121_1 = 0 % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | BETA: splitting (260) gives: % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | | Case 1: % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | (265) all_104_1 = 0 % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | REDUCE: (250), (265) imply: % 15.94/2.97 | | | | | | | (266) $false % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | CLOSE: (266) is inconsistent. % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | Case 2: % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | (267) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = 0) % 15.94/2.97 | | | | | | | & mem(all_53_1, all_45_0) = v1 & mem(all_53_1, % 15.94/2.97 | | | | | | | all_29_20) = v0) % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | DELTA: instantiating (267) with fresh symbols all_127_0, all_127_1 % 15.94/2.97 | | | | | | | gives: % 15.94/2.97 | | | | | | | (268) ~ (all_127_0 = 0) & ~ (all_127_1 = 0) & mem(all_53_1, % 15.94/2.97 | | | | | | | all_45_0) = all_127_0 & mem(all_53_1, all_29_20) = % 15.94/2.97 | | | | | | | all_127_1 % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | ALPHA: (268) implies: % 15.94/2.97 | | | | | | | (269) ~ (all_127_0 = 0) % 15.94/2.97 | | | | | | | (270) mem(all_53_1, all_45_0) = all_127_0 % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | BETA: splitting (259) gives: % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | | Case 1: % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | (271) all_109_0 = 0 % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | REDUCE: (256), (271) imply: % 15.94/2.97 | | | | | | | | (272) $false % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | CLOSE: (272) is inconsistent. % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | Case 2: % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | (273) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 = % 15.94/2.97 | | | | | | | | 0) & mem(all_53_1, all_69_0) = v1 & mem(all_53_1, % 15.94/2.97 | | | | | | | | all_29_9) = v0) % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | DELTA: instantiating (273) with fresh symbols all_147_0, % 15.94/2.97 | | | | | | | | all_147_1 gives: % 15.94/2.97 | | | | | | | | (274) ~ (all_147_0 = 0) & ~ (all_147_1 = 0) & mem(all_53_1, % 15.94/2.97 | | | | | | | | all_69_0) = all_147_0 & mem(all_53_1, all_29_9) = % 15.94/2.97 | | | | | | | | all_147_1 % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | ALPHA: (274) implies: % 15.94/2.97 | | | | | | | | (275) ~ (all_147_1 = 0) % 15.94/2.97 | | | | | | | | (276) mem(all_53_1, all_29_9) = all_147_1 % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | GROUND_INST: instantiating (10) with all_121_0, all_127_0, % 15.94/2.97 | | | | | | | | all_45_0, all_53_1, simplifying with (263), (270) % 15.94/2.97 | | | | | | | | gives: % 15.94/2.97 | | | | | | | | (277) all_127_0 = all_121_0 % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | REDUCE: (269), (277) imply: % 15.94/2.97 | | | | | | | | (278) ~ (all_121_0 = 0) % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | BETA: splitting (264) gives: % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | | Case 1: % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | (279) all_121_0 = 0 % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | REDUCE: (278), (279) imply: % 15.94/2.97 | | | | | | | | | (280) $false % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | CLOSE: (280) is inconsistent. % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | Case 2: % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | (281) all_121_1 = 0 % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | REDUCE: (262), (281) imply: % 15.94/2.97 | | | | | | | | | (282) mem(all_53_1, all_29_21) = 0 % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | GROUND_INST: instantiating (2) with all_53_1, all_29_22, % 15.94/2.97 | | | | | | | | | all_29_21, simplifying with (13), (30), (99), % 15.94/2.97 | | | | | | | | | (282) gives: % 15.94/2.97 | | | | | | | | | (283) all_53_1 = all_29_22 % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | GROUND_INST: instantiating (4) with all_53_1, all_29_10, % 15.94/2.97 | | | | | | | | | all_29_21, all_29_9, all_147_1, simplifying with % 15.94/2.97 | | | | | | | | | (14), (21), (99), (105), (276) gives: % 15.94/2.97 | | | | | | | | | (284) all_147_1 = 0 | ? [v0: int] : ? [v1: int] : ( ~ (v1 % 15.94/2.97 | | | | | | | | | = 0) & ~ (v0 = 0) & mem(all_53_1, all_29_10) = % 15.94/2.97 | | | | | | | | | v0 & mem(all_53_1, all_29_21) = v1) % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | REDUCE: (282), (283) imply: % 15.94/2.97 | | | | | | | | | (285) mem(all_29_22, all_29_21) = 0 % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | BETA: splitting (284) gives: % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | | Case 1: % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | (286) all_147_1 = 0 % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | REDUCE: (275), (286) imply: % 15.94/2.97 | | | | | | | | | | (287) $false % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | CLOSE: (287) is inconsistent. % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | Case 2: % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | (288) ? [v0: int] : ? [v1: int] : ( ~ (v1 = 0) & ~ (v0 % 15.94/2.97 | | | | | | | | | | = 0) & mem(all_53_1, all_29_10) = v0 & % 15.94/2.97 | | | | | | | | | | mem(all_53_1, all_29_21) = v1) % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | DELTA: instantiating (288) with fresh symbols all_167_0, % 15.94/2.97 | | | | | | | | | | all_167_1 gives: % 15.94/2.97 | | | | | | | | | | (289) ~ (all_167_0 = 0) & ~ (all_167_1 = 0) & % 15.94/2.97 | | | | | | | | | | mem(all_53_1, all_29_10) = all_167_1 & % 15.94/2.97 | | | | | | | | | | mem(all_53_1, all_29_21) = all_167_0 % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | ALPHA: (289) implies: % 15.94/2.97 | | | | | | | | | | (290) ~ (all_167_0 = 0) % 15.94/2.97 | | | | | | | | | | (291) mem(all_53_1, all_29_21) = all_167_0 % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | REDUCE: (283), (291) imply: % 15.94/2.97 | | | | | | | | | | (292) mem(all_29_22, all_29_21) = all_167_0 % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | GROUND_INST: instantiating (10) with 0, all_167_0, all_29_21, % 15.94/2.97 | | | | | | | | | | all_29_22, simplifying with (285), (292) gives: % 15.94/2.97 | | | | | | | | | | (293) all_167_0 = 0 % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | REDUCE: (290), (293) imply: % 15.94/2.97 | | | | | | | | | | (294) $false % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | | CLOSE: (294) is inconsistent. % 15.94/2.97 | | | | | | | | | | % 15.94/2.97 | | | | | | | | | End of split % 15.94/2.97 | | | | | | | | | % 15.94/2.97 | | | | | | | | End of split % 15.94/2.97 | | | | | | | | % 15.94/2.97 | | | | | | | End of split % 15.94/2.97 | | | | | | | % 15.94/2.97 | | | | | | End of split % 15.94/2.97 | | | | | | % 15.94/2.97 | | | | | End of split % 15.94/2.97 | | | | | % 15.94/2.97 | | | | End of split % 15.94/2.97 | | | | % 15.94/2.97 | | | End of split % 15.94/2.97 | | | % 15.94/2.97 | | End of split % 15.94/2.97 | | % 16.37/2.97 | End of split % 16.37/2.97 | % 16.37/2.97 End of proof % 16.37/2.97 % SZS output end Proof for theBenchmark % 16.37/2.97 % 16.37/2.97 2343ms %------------------------------------------------------------------------------