%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG030+1 : TPTP v8.1.2. Released v2.7.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n015.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 : Wed Aug 30 16:35:45 EDT 2023 % Result : Theorem 9.62s 2.14s % Output : Proof 17.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG030+1 : TPTP v8.1.2. Released v2.7.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n015.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Mon Aug 28 05:40:09 EDT 2023 % 0.13/0.34 % CPUTime : % 0.21/0.60 ________ _____ % 0.21/0.60 ___ __ \_________(_)________________________________ % 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.21/0.60 % 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.21/0.60 (2023-06-19) % 0.21/0.60 % 0.21/0.60 (c) Philipp Rümmer, 2009-2023 % 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.21/0.60 Amanda Stjerna. % 0.21/0.60 Free software under BSD-3-Clause. % 0.21/0.60 % 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.21/0.60 % 0.21/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.21/0.61 Running up to 7 provers in parallel. % 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.27/1.00 Prover 1: Preprocessing ... % 2.27/1.00 Prover 4: Preprocessing ... % 2.62/1.04 Prover 5: Preprocessing ... % 2.62/1.04 Prover 6: Preprocessing ... % 2.62/1.04 Prover 2: Preprocessing ... % 2.62/1.04 Prover 0: Preprocessing ... % 2.62/1.04 Prover 3: Preprocessing ... % 4.44/1.32 Prover 5: Constructing countermodel ... % 4.44/1.33 Prover 3: Constructing countermodel ... % 4.44/1.33 Prover 1: Constructing countermodel ... % 4.44/1.33 Prover 6: Proving ... % 4.44/1.33 Prover 2: Proving ... % 4.44/1.37 Prover 4: Constructing countermodel ... % 4.44/1.40 Prover 0: Proving ... % 5.54/1.48 Prover 3: gave up % 5.54/1.49 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.54/1.50 Prover 7: Preprocessing ... % 5.54/1.52 Prover 1: gave up % 6.12/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.12/1.57 Prover 8: Preprocessing ... % 6.12/1.57 Prover 7: Constructing countermodel ... % 6.90/1.65 Prover 7: gave up % 6.90/1.65 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.90/1.65 Prover 8: Warning: ignoring some quantifiers % 6.90/1.66 Prover 8: Constructing countermodel ... % 7.08/1.66 Prover 9: Preprocessing ... % 7.81/1.79 Prover 9: Constructing countermodel ... % 9.62/2.14 Prover 0: proved (1522ms) % 9.62/2.14 % 9.62/2.14 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 9.62/2.14 % 9.62/2.14 Prover 5: stopped % 9.62/2.15 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.62/2.15 Prover 2: stopped % 9.62/2.15 Prover 6: stopped % 9.62/2.15 Prover 9: stopped % 9.62/2.15 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.62/2.15 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.62/2.15 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 9.62/2.17 Prover 13: Preprocessing ... % 9.62/2.17 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 9.62/2.17 Prover 10: Preprocessing ... % 9.62/2.17 Prover 16: Preprocessing ... % 9.62/2.18 Prover 11: Preprocessing ... % 9.62/2.18 Prover 19: Preprocessing ... % 10.91/2.21 Prover 10: Constructing countermodel ... % 10.91/2.21 Prover 16: Constructing countermodel ... % 11.19/2.23 Prover 10: gave up % 11.29/2.24 Prover 13: Constructing countermodel ... % 11.29/2.25 Prover 19: Warning: ignoring some quantifiers % 11.29/2.25 Prover 19: Constructing countermodel ... % 11.29/2.27 Prover 11: Constructing countermodel ... % 13.04/2.47 Prover 8: gave up % 14.22/2.62 Prover 19: gave up % 16.29/2.93 Prover 13: Found proof (size 219) % 16.29/2.93 Prover 13: proved (784ms) % 16.29/2.93 Prover 16: stopped % 16.29/2.94 Prover 11: stopped % 16.29/2.94 Prover 4: stopped % 16.29/2.94 % 16.29/2.94 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 16.29/2.94 % 16.68/3.03 % SZS output start Proof for theBenchmark % 16.68/3.03 Assumptions after simplification: % 16.68/3.03 --------------------------------- % 16.68/3.03 % 16.68/3.03 (ax1) % 16.68/3.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op1(v0, v1) = v2) | ~ $i(v1) | % 16.68/3.06 ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | sorti1(v2)) & ! [v0: $i] : ! % 16.68/3.06 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | ? [v2: % 16.68/3.06 $i] : (op1(v0, v1) = v2 & $i(v2) & sorti1(v2))) % 16.68/3.06 % 16.68/3.06 (ax2) % 16.68/3.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op2(v0, v1) = v2) | ~ $i(v1) | % 16.68/3.06 ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | sorti2(v2)) & ! [v0: $i] : ! % 16.68/3.06 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v2: % 16.68/3.06 $i] : (op2(v0, v1) = v2 & $i(v2) & sorti2(v2))) % 16.68/3.06 % 16.68/3.06 (ax3) % 16.68/3.07 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) & % 16.68/3.07 op1(v1, v0) = v3 & op1(v0, v1) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 16.68/3.07 sorti1(v1) & sorti1(v0)) % 16.68/3.07 % 16.68/3.07 (ax4) % 16.68/3.07 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op2(v0, v1) = v2) | ~ $i(v1) | % 16.68/3.07 ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | (op2(v1, v0) = v2 & $i(v2))) & % 16.68/3.07 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ % 16.68/3.07 sorti2(v0) | ? [v2: $i] : (op2(v1, v0) = v2 & op2(v0, v1) = v2 & $i(v2))) % 16.68/3.07 % 16.68/3.07 (co1) % 17.04/3.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 17.04/3.08 (j(v2) = v3) | ~ (j(v0) = v1) | ~ (op1(v1, v3) = v4) | ~ $i(v2) | ~ % 17.04/3.08 $i(v0) | ~ sorti2(v2) | ~ sorti2(v0) | ? [v5: $i] : (j(v5) = v4 & op2(v0, % 17.04/3.08 v2) = v5 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 17.04/3.08 ! [v3: $i] : ! [v4: $i] : ( ~ (h(v2) = v3) | ~ (h(v0) = v1) | ~ (op2(v1, % 17.04/3.08 v3) = v4) | ~ $i(v2) | ~ $i(v0) | ~ sorti1(v2) | ~ sorti1(v0) | ? % 17.04/3.08 [v5: $i] : (h(v5) = v4 & op1(v0, v2) = v5 & $i(v5) & $i(v4))) & ! [v0: $i] % 17.04/3.08 : ! [v1: $i] : ( ~ (j(v0) = v1) | ~ $i(v0) | ~ sorti2(v0) | h(v1) = v0) & % 17.04/3.08 ! [v0: $i] : ! [v1: $i] : ( ~ (j(v0) = v1) | ~ $i(v0) | ~ sorti2(v0) | % 17.04/3.08 sorti1(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (h(v0) = v1) | ~ $i(v0) | ~ % 17.04/3.08 sorti1(v0) | j(v1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~ (h(v0) = v1) | ~ % 17.04/3.08 $i(v0) | ~ sorti1(v0) | sorti2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.04/3.08 sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & h(v1) = v0 & $i(v1))) & ! [v0: $i] % 17.04/3.08 : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & $i(v1) & % 17.04/3.08 sorti1(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : % 17.04/3.08 (j(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti2(v2) | ? [v3: % 17.04/3.08 $i] : ? [v4: $i] : ? [v5: $i] : (j(v3) = v4 & j(v2) = v5 & op2(v0, % 17.04/3.08 v2) = v3 & op1(v1, v5) = v4 & $i(v5) & $i(v4) & $i(v3))))) & ! [v0: % 17.04/3.08 $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (j(v1) = v0 & h(v0) = v1 & % 17.04/3.08 $i(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (h(v0) % 17.04/3.08 = v1 & $i(v1) & sorti2(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | % 17.04/3.08 ? [v1: $i] : (h(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti1(v2) % 17.04/3.08 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (h(v3) = v4 & h(v2) = v5 & % 17.04/3.08 op2(v1, v5) = v4 & op1(v0, v2) = v3 & $i(v5) & $i(v4) & $i(v3))))) % 17.04/3.08 % 17.04/3.08 (function-axioms) % 17.04/3.08 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 17.04/3.08 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 17.04/3.08 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 17.04/3.08 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = % 17.04/3.08 v1) | ~ (j(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 17.04/3.08 v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0)) % 17.04/3.08 % 17.04/3.08 Those formulas are unsatisfiable: % 17.04/3.08 --------------------------------- % 17.04/3.08 % 17.04/3.08 Begin of proof % 17.04/3.09 | % 17.04/3.09 | ALPHA: (ax1) implies: % 17.04/3.09 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ % 17.04/3.09 | sorti1(v0) | ? [v2: $i] : (op1(v0, v1) = v2 & $i(v2) & sorti1(v2))) % 17.04/3.09 | % 17.04/3.09 | ALPHA: (ax2) implies: % 17.04/3.09 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ % 17.04/3.09 | sorti2(v0) | ? [v2: $i] : (op2(v0, v1) = v2 & $i(v2) & sorti2(v2))) % 17.04/3.09 | % 17.04/3.09 | ALPHA: (ax4) implies: % 17.04/3.09 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ % 17.04/3.09 | sorti2(v0) | ? [v2: $i] : (op2(v1, v0) = v2 & op2(v0, v1) = v2 & % 17.04/3.09 | $i(v2))) % 17.04/3.09 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op2(v0, v1) = v2) | ~ % 17.04/3.09 | $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | (op2(v1, v0) = % 17.04/3.09 | v2 & $i(v2))) % 17.04/3.09 | % 17.04/3.09 | ALPHA: (co1) implies: % 17.04/3.09 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (h(v0) = v1 & % 17.04/3.09 | $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti1(v2) | ? [v3: $i] : % 17.04/3.09 | ? [v4: $i] : ? [v5: $i] : (h(v3) = v4 & h(v2) = v5 & op2(v1, v5) % 17.04/3.09 | = v4 & op1(v0, v2) = v3 & $i(v5) & $i(v4) & $i(v3))))) % 17.04/3.09 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (h(v0) = v1 & % 17.04/3.09 | $i(v1) & sorti2(v1))) % 17.04/3.10 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (j(v1) = v0 & % 17.04/3.10 | h(v0) = v1 & $i(v1))) % 17.04/3.10 | (8) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & % 17.04/3.10 | $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti2(v2) | ? [v3: $i] : % 17.04/3.10 | ? [v4: $i] : ? [v5: $i] : (j(v3) = v4 & j(v2) = v5 & op2(v0, v2) % 17.04/3.10 | = v3 & op1(v1, v5) = v4 & $i(v5) & $i(v4) & $i(v3))))) % 17.04/3.10 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (h(v0) = v1) | ~ $i(v0) | ~ % 17.04/3.10 | sorti1(v0) | j(v1) = v0) % 17.04/3.10 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 17.04/3.10 | ( ~ (j(v2) = v3) | ~ (j(v0) = v1) | ~ (op1(v1, v3) = v4) | ~ $i(v2) % 17.04/3.10 | | ~ $i(v0) | ~ sorti2(v2) | ~ sorti2(v0) | ? [v5: $i] : (j(v5) = % 17.04/3.10 | v4 & op2(v0, v2) = v5 & $i(v5) & $i(v4))) % 17.04/3.10 | % 17.04/3.10 | ALPHA: (function-axioms) implies: % 17.04/3.10 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | % 17.04/3.10 | ~ (h(v2) = v0)) % 17.04/3.10 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | % 17.04/3.10 | ~ (j(v2) = v0)) % 17.04/3.10 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 17.04/3.10 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 17.04/3.10 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 17.04/3.10 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 17.04/3.10 | % 17.04/3.10 | DELTA: instantiating (ax3) with fresh symbols all_7_0, all_7_1, all_7_2, % 17.04/3.10 | all_7_3 gives: % 17.04/3.10 | (15) ~ (all_7_0 = all_7_1) & op1(all_7_2, all_7_3) = all_7_0 & % 17.04/3.10 | op1(all_7_3, all_7_2) = all_7_1 & $i(all_7_0) & $i(all_7_1) & % 17.04/3.10 | $i(all_7_2) & $i(all_7_3) & sorti1(all_7_2) & sorti1(all_7_3) % 17.04/3.10 | % 17.04/3.10 | ALPHA: (15) implies: % 17.04/3.10 | (16) ~ (all_7_0 = all_7_1) % 17.04/3.10 | (17) sorti1(all_7_3) % 17.04/3.10 | (18) sorti1(all_7_2) % 17.04/3.10 | (19) $i(all_7_3) % 17.04/3.10 | (20) $i(all_7_2) % 17.04/3.10 | (21) op1(all_7_3, all_7_2) = all_7_1 % 17.04/3.11 | (22) op1(all_7_2, all_7_3) = all_7_0 % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (1) with all_7_3, all_7_3, simplifying with (17), % 17.04/3.11 | (19) gives: % 17.04/3.11 | (23) ? [v0: $i] : (op1(all_7_3, all_7_3) = v0 & $i(v0) & sorti1(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (7) with all_7_3, simplifying with (17), (19) % 17.04/3.11 | gives: % 17.04/3.11 | (24) ? [v0: $i] : (j(v0) = all_7_3 & h(all_7_3) = v0 & $i(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (6) with all_7_3, simplifying with (17), (19) % 17.04/3.11 | gives: % 17.04/3.11 | (25) ? [v0: $i] : (h(all_7_3) = v0 & $i(v0) & sorti2(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (5) with all_7_3, simplifying with (17), (19) % 17.04/3.11 | gives: % 17.04/3.11 | (26) ? [v0: $i] : (h(all_7_3) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.11 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) = % 17.04/3.11 | v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_7_3, v1) = v2 & % 17.04/3.11 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (1) with all_7_2, all_7_2, simplifying with (18), % 17.04/3.11 | (20) gives: % 17.04/3.11 | (27) ? [v0: $i] : (op1(all_7_2, all_7_2) = v0 & $i(v0) & sorti1(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (1) with all_7_3, all_7_2, simplifying with (17), % 17.04/3.11 | (18), (19), (20) gives: % 17.04/3.11 | (28) ? [v0: $i] : (op1(all_7_3, all_7_2) = v0 & $i(v0) & sorti1(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (1) with all_7_2, all_7_3, simplifying with (17), % 17.04/3.11 | (18), (19), (20) gives: % 17.04/3.11 | (29) ? [v0: $i] : (op1(all_7_2, all_7_3) = v0 & $i(v0) & sorti1(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (7) with all_7_2, simplifying with (18), (20) % 17.04/3.11 | gives: % 17.04/3.11 | (30) ? [v0: $i] : (j(v0) = all_7_2 & h(all_7_2) = v0 & $i(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (6) with all_7_2, simplifying with (18), (20) % 17.04/3.11 | gives: % 17.04/3.11 | (31) ? [v0: $i] : (h(all_7_2) = v0 & $i(v0) & sorti2(v0)) % 17.04/3.11 | % 17.04/3.11 | GROUND_INST: instantiating (5) with all_7_2, simplifying with (18), (20) % 17.04/3.11 | gives: % 17.04/3.12 | (32) ? [v0: $i] : (h(all_7_2) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.12 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) = % 17.04/3.12 | v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_7_2, v1) = v2 & % 17.04/3.12 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (30) with fresh symbol all_15_0 gives: % 17.04/3.12 | (33) j(all_15_0) = all_7_2 & h(all_7_2) = all_15_0 & $i(all_15_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (33) implies: % 17.04/3.12 | (34) h(all_7_2) = all_15_0 % 17.04/3.12 | (35) j(all_15_0) = all_7_2 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (29) with fresh symbol all_17_0 gives: % 17.04/3.12 | (36) op1(all_7_2, all_7_3) = all_17_0 & $i(all_17_0) & sorti1(all_17_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (36) implies: % 17.04/3.12 | (37) sorti1(all_17_0) % 17.04/3.12 | (38) $i(all_17_0) % 17.04/3.12 | (39) op1(all_7_2, all_7_3) = all_17_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (28) with fresh symbol all_19_0 gives: % 17.04/3.12 | (40) op1(all_7_3, all_7_2) = all_19_0 & $i(all_19_0) & sorti1(all_19_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (40) implies: % 17.04/3.12 | (41) sorti1(all_19_0) % 17.04/3.12 | (42) $i(all_19_0) % 17.04/3.12 | (43) op1(all_7_3, all_7_2) = all_19_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (31) with fresh symbol all_21_0 gives: % 17.04/3.12 | (44) h(all_7_2) = all_21_0 & $i(all_21_0) & sorti2(all_21_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (44) implies: % 17.04/3.12 | (45) sorti2(all_21_0) % 17.04/3.12 | (46) $i(all_21_0) % 17.04/3.12 | (47) h(all_7_2) = all_21_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (27) with fresh symbol all_23_0 gives: % 17.04/3.12 | (48) op1(all_7_2, all_7_2) = all_23_0 & $i(all_23_0) & sorti1(all_23_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (48) implies: % 17.04/3.12 | (49) sorti1(all_23_0) % 17.04/3.12 | (50) op1(all_7_2, all_7_2) = all_23_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (25) with fresh symbol all_25_0 gives: % 17.04/3.12 | (51) h(all_7_3) = all_25_0 & $i(all_25_0) & sorti2(all_25_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (51) implies: % 17.04/3.12 | (52) sorti2(all_25_0) % 17.04/3.12 | (53) h(all_7_3) = all_25_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (24) with fresh symbol all_27_0 gives: % 17.04/3.12 | (54) j(all_27_0) = all_7_3 & h(all_7_3) = all_27_0 & $i(all_27_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (54) implies: % 17.04/3.12 | (55) $i(all_27_0) % 17.04/3.12 | (56) h(all_7_3) = all_27_0 % 17.04/3.12 | (57) j(all_27_0) = all_7_3 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (23) with fresh symbol all_29_0 gives: % 17.04/3.12 | (58) op1(all_7_3, all_7_3) = all_29_0 & $i(all_29_0) & sorti1(all_29_0) % 17.04/3.12 | % 17.04/3.12 | ALPHA: (58) implies: % 17.04/3.12 | (59) sorti1(all_29_0) % 17.04/3.12 | (60) op1(all_7_3, all_7_3) = all_29_0 % 17.04/3.12 | % 17.04/3.12 | DELTA: instantiating (32) with fresh symbol all_31_0 gives: % 17.04/3.13 | (61) h(all_7_2) = all_31_0 & $i(all_31_0) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.04/3.13 | sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = v2 & % 17.04/3.13 | h(v0) = v3 & op2(all_31_0, v3) = v2 & op1(all_7_2, v0) = v1 & % 17.04/3.13 | $i(v3) & $i(v2) & $i(v1))) % 17.04/3.13 | % 17.04/3.13 | ALPHA: (61) implies: % 17.04/3.13 | (62) h(all_7_2) = all_31_0 % 17.04/3.13 | (63) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : % 17.04/3.13 | ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_31_0, v3) = v2 & % 17.04/3.13 | op1(all_7_2, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.04/3.13 | % 17.04/3.13 | GROUND_INST: instantiating (63) with all_7_3, simplifying with (17), (19) % 17.04/3.13 | gives: % 17.04/3.13 | (64) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_3) = % 17.04/3.13 | v2 & op2(all_31_0, v2) = v1 & op1(all_7_2, all_7_3) = v0 & $i(v2) & % 17.04/3.13 | $i(v1) & $i(v0)) % 17.04/3.13 | % 17.04/3.13 | GROUND_INST: instantiating (63) with all_7_2, simplifying with (18), (20) % 17.04/3.13 | gives: % 17.04/3.13 | (65) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_2) = % 17.04/3.13 | v2 & op2(all_31_0, v2) = v1 & op1(all_7_2, all_7_2) = v0 & $i(v2) & % 17.04/3.13 | $i(v1) & $i(v0)) % 17.04/3.13 | % 17.04/3.13 | DELTA: instantiating (26) with fresh symbol all_34_0 gives: % 17.04/3.13 | (66) h(all_7_3) = all_34_0 & $i(all_34_0) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.04/3.13 | sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = v2 & % 17.04/3.13 | h(v0) = v3 & op2(all_34_0, v3) = v2 & op1(all_7_3, v0) = v1 & % 17.04/3.13 | $i(v3) & $i(v2) & $i(v1))) % 17.04/3.13 | % 17.04/3.13 | ALPHA: (66) implies: % 17.04/3.13 | (67) h(all_7_3) = all_34_0 % 17.04/3.13 | (68) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : % 17.04/3.13 | ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_34_0, v3) = v2 & % 17.04/3.13 | op1(all_7_3, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.04/3.13 | % 17.04/3.13 | GROUND_INST: instantiating (68) with all_7_3, simplifying with (17), (19) % 17.04/3.13 | gives: % 17.04/3.13 | (69) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_3) = % 17.04/3.13 | v2 & op2(all_34_0, v2) = v1 & op1(all_7_3, all_7_3) = v0 & $i(v2) & % 17.04/3.13 | $i(v1) & $i(v0)) % 17.04/3.13 | % 17.04/3.13 | GROUND_INST: instantiating (68) with all_7_2, simplifying with (18), (20) % 17.04/3.13 | gives: % 17.04/3.13 | (70) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_2) = % 17.04/3.13 | v2 & op2(all_34_0, v2) = v1 & op1(all_7_3, all_7_2) = v0 & $i(v2) & % 17.04/3.13 | $i(v1) & $i(v0)) % 17.04/3.13 | % 17.04/3.13 | DELTA: instantiating (65) with fresh symbols all_37_0, all_37_1, all_37_2 % 17.04/3.13 | gives: % 17.04/3.14 | (71) h(all_37_2) = all_37_1 & h(all_7_2) = all_37_0 & op2(all_31_0, % 17.04/3.14 | all_37_0) = all_37_1 & op1(all_7_2, all_7_2) = all_37_2 & % 17.04/3.14 | $i(all_37_0) & $i(all_37_1) & $i(all_37_2) % 17.04/3.14 | % 17.04/3.14 | ALPHA: (71) implies: % 17.04/3.14 | (72) $i(all_37_2) % 17.04/3.14 | (73) op1(all_7_2, all_7_2) = all_37_2 % 17.04/3.14 | (74) h(all_7_2) = all_37_0 % 17.04/3.14 | % 17.04/3.14 | DELTA: instantiating (64) with fresh symbols all_39_0, all_39_1, all_39_2 % 17.04/3.14 | gives: % 17.04/3.14 | (75) h(all_39_2) = all_39_1 & h(all_7_3) = all_39_0 & op2(all_31_0, % 17.04/3.14 | all_39_0) = all_39_1 & op1(all_7_2, all_7_3) = all_39_2 & % 17.04/3.14 | $i(all_39_0) & $i(all_39_1) & $i(all_39_2) % 17.04/3.14 | % 17.04/3.14 | ALPHA: (75) implies: % 17.04/3.14 | (76) op1(all_7_2, all_7_3) = all_39_2 % 17.04/3.14 | (77) op2(all_31_0, all_39_0) = all_39_1 % 17.04/3.14 | (78) h(all_7_3) = all_39_0 % 17.04/3.14 | (79) h(all_39_2) = all_39_1 % 17.04/3.14 | % 17.04/3.14 | DELTA: instantiating (70) with fresh symbols all_41_0, all_41_1, all_41_2 % 17.04/3.14 | gives: % 17.04/3.14 | (80) h(all_41_2) = all_41_1 & h(all_7_2) = all_41_0 & op2(all_34_0, % 17.04/3.14 | all_41_0) = all_41_1 & op1(all_7_3, all_7_2) = all_41_2 & % 17.04/3.14 | $i(all_41_0) & $i(all_41_1) & $i(all_41_2) % 17.04/3.14 | % 17.04/3.14 | ALPHA: (80) implies: % 17.04/3.14 | (81) op1(all_7_3, all_7_2) = all_41_2 % 17.04/3.14 | (82) op2(all_34_0, all_41_0) = all_41_1 % 17.04/3.14 | (83) h(all_7_2) = all_41_0 % 17.04/3.14 | (84) h(all_41_2) = all_41_1 % 17.04/3.14 | % 17.04/3.14 | DELTA: instantiating (69) with fresh symbols all_43_0, all_43_1, all_43_2 % 17.04/3.14 | gives: % 17.04/3.14 | (85) h(all_43_2) = all_43_1 & h(all_7_3) = all_43_0 & op2(all_34_0, % 17.04/3.14 | all_43_0) = all_43_1 & op1(all_7_3, all_7_3) = all_43_2 & % 17.04/3.14 | $i(all_43_0) & $i(all_43_1) & $i(all_43_2) % 17.04/3.14 | % 17.04/3.14 | ALPHA: (85) implies: % 17.04/3.14 | (86) $i(all_43_2) % 17.04/3.14 | (87) op1(all_7_3, all_7_3) = all_43_2 % 17.04/3.14 | (88) h(all_7_3) = all_43_0 % 17.04/3.14 | % 17.04/3.14 | GROUND_INST: instantiating (13) with all_29_0, all_43_2, all_7_3, all_7_3, % 17.04/3.14 | simplifying with (60), (87) gives: % 17.04/3.14 | (89) all_43_2 = all_29_0 % 17.04/3.14 | % 17.04/3.14 | GROUND_INST: instantiating (13) with all_7_1, all_41_2, all_7_2, all_7_3, % 17.04/3.15 | simplifying with (21), (81) gives: % 17.04/3.15 | (90) all_41_2 = all_7_1 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (13) with all_19_0, all_41_2, all_7_2, all_7_3, % 17.04/3.15 | simplifying with (43), (81) gives: % 17.04/3.15 | (91) all_41_2 = all_19_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (13) with all_7_0, all_39_2, all_7_3, all_7_2, % 17.04/3.15 | simplifying with (22), (76) gives: % 17.04/3.15 | (92) all_39_2 = all_7_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (13) with all_17_0, all_39_2, all_7_3, all_7_2, % 17.04/3.15 | simplifying with (39), (76) gives: % 17.04/3.15 | (93) all_39_2 = all_17_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (13) with all_23_0, all_37_2, all_7_2, all_7_2, % 17.04/3.15 | simplifying with (50), (73) gives: % 17.04/3.15 | (94) all_37_2 = all_23_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_34_0, all_39_0, all_7_3, simplifying % 17.04/3.15 | with (67), (78) gives: % 17.04/3.15 | (95) all_39_0 = all_34_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_27_0, all_39_0, all_7_3, simplifying % 17.04/3.15 | with (56), (78) gives: % 17.04/3.15 | (96) all_39_0 = all_27_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_34_0, all_43_0, all_7_3, simplifying % 17.04/3.15 | with (67), (88) gives: % 17.04/3.15 | (97) all_43_0 = all_34_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_25_0, all_43_0, all_7_3, simplifying % 17.04/3.15 | with (53), (88) gives: % 17.04/3.15 | (98) all_43_0 = all_25_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_21_0, all_37_0, all_7_2, simplifying % 17.04/3.15 | with (47), (74) gives: % 17.04/3.15 | (99) all_37_0 = all_21_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_15_0, all_37_0, all_7_2, simplifying % 17.04/3.15 | with (34), (74) gives: % 17.04/3.15 | (100) all_37_0 = all_15_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_37_0, all_41_0, all_7_2, simplifying % 17.04/3.15 | with (74), (83) gives: % 17.04/3.15 | (101) all_41_0 = all_37_0 % 17.04/3.15 | % 17.04/3.15 | GROUND_INST: instantiating (11) with all_31_0, all_41_0, all_7_2, simplifying % 17.04/3.15 | with (62), (83) gives: % 17.04/3.15 | (102) all_41_0 = all_31_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (97), (98) imply: % 17.04/3.15 | (103) all_34_0 = all_25_0 % 17.04/3.15 | % 17.04/3.15 | SIMP: (103) implies: % 17.04/3.15 | (104) all_34_0 = all_25_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (101), (102) imply: % 17.04/3.15 | (105) all_37_0 = all_31_0 % 17.04/3.15 | % 17.04/3.15 | SIMP: (105) implies: % 17.04/3.15 | (106) all_37_0 = all_31_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (90), (91) imply: % 17.04/3.15 | (107) all_19_0 = all_7_1 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (95), (96) imply: % 17.04/3.15 | (108) all_34_0 = all_27_0 % 17.04/3.15 | % 17.04/3.15 | SIMP: (108) implies: % 17.04/3.15 | (109) all_34_0 = all_27_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (92), (93) imply: % 17.04/3.15 | (110) all_17_0 = all_7_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (99), (106) imply: % 17.04/3.15 | (111) all_31_0 = all_21_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (100), (106) imply: % 17.04/3.15 | (112) all_31_0 = all_15_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (104), (109) imply: % 17.04/3.15 | (113) all_27_0 = all_25_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (111), (112) imply: % 17.04/3.15 | (114) all_21_0 = all_15_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (96), (113) imply: % 17.04/3.15 | (115) all_39_0 = all_25_0 % 17.04/3.15 | % 17.04/3.15 | COMBINE_EQS: (102), (112) imply: % 17.04/3.15 | (116) all_41_0 = all_15_0 % 17.04/3.15 | % 17.04/3.15 | REDUCE: (57), (113) imply: % 17.04/3.15 | (117) j(all_25_0) = all_7_3 % 17.04/3.15 | % 17.04/3.15 | REDUCE: (84), (90) imply: % 17.04/3.15 | (118) h(all_7_1) = all_41_1 % 17.04/3.15 | % 17.04/3.15 | REDUCE: (79), (92) imply: % 17.04/3.15 | (119) h(all_7_0) = all_39_1 % 17.04/3.15 | % 17.04/3.15 | REDUCE: (82), (104), (116) imply: % 17.04/3.16 | (120) op2(all_25_0, all_15_0) = all_41_1 % 17.04/3.16 | % 17.04/3.16 | REDUCE: (77), (112), (115) imply: % 17.04/3.16 | (121) op2(all_15_0, all_25_0) = all_39_1 % 17.04/3.16 | % 17.04/3.16 | REDUCE: (86), (89) imply: % 17.04/3.16 | (122) $i(all_29_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (72), (94) imply: % 17.04/3.16 | (123) $i(all_23_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (55), (113) imply: % 17.04/3.16 | (124) $i(all_25_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (46), (114) imply: % 17.04/3.16 | (125) $i(all_15_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (42), (107) imply: % 17.04/3.16 | (126) $i(all_7_1) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (38), (110) imply: % 17.04/3.16 | (127) $i(all_7_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (45), (114) imply: % 17.04/3.16 | (128) sorti2(all_15_0) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (41), (107) imply: % 17.04/3.16 | (129) sorti1(all_7_1) % 17.04/3.16 | % 17.04/3.16 | REDUCE: (37), (110) imply: % 17.04/3.16 | (130) sorti1(all_7_0) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (5) with all_7_1, simplifying with (126), (129) % 17.04/3.16 | gives: % 17.04/3.16 | (131) ? [v0: $i] : (h(all_7_1) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.16 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) = % 17.04/3.16 | v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_7_1, v1) = v2 & % 17.04/3.16 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (68) with all_7_0, simplifying with (127), (130) % 17.04/3.16 | gives: % 17.04/3.16 | (132) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.04/3.16 | v2 & op2(all_34_0, v2) = v1 & op1(all_7_3, all_7_0) = v0 & $i(v2) & % 17.04/3.16 | $i(v1) & $i(v0)) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (63) with all_7_0, simplifying with (127), (130) % 17.04/3.16 | gives: % 17.04/3.16 | (133) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.04/3.16 | v2 & op2(all_31_0, v2) = v1 & op1(all_7_2, all_7_0) = v0 & $i(v2) & % 17.04/3.16 | $i(v1) & $i(v0)) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (7) with all_7_0, simplifying with (127), (130) % 17.04/3.16 | gives: % 17.04/3.16 | (134) ? [v0: $i] : (j(v0) = all_7_0 & h(all_7_0) = v0 & $i(v0)) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (6) with all_7_0, simplifying with (127), (130) % 17.04/3.16 | gives: % 17.04/3.16 | (135) ? [v0: $i] : (h(all_7_0) = v0 & $i(v0) & sorti2(v0)) % 17.04/3.16 | % 17.04/3.16 | GROUND_INST: instantiating (5) with all_7_0, simplifying with (127), (130) % 17.04/3.16 | gives: % 17.04/3.16 | (136) ? [v0: $i] : (h(all_7_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.16 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) = % 17.04/3.16 | v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_7_0, v1) = v2 & % 17.04/3.16 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (5) with all_23_0, simplifying with (49), (123) % 17.04/3.17 | gives: % 17.04/3.17 | (137) ? [v0: $i] : (h(all_23_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.17 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) % 17.04/3.17 | = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_23_0, v1) = v2 & % 17.04/3.17 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (5) with all_29_0, simplifying with (59), (122) % 17.04/3.17 | gives: % 17.04/3.17 | (138) ? [v0: $i] : (h(all_29_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.17 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) % 17.04/3.17 | = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_29_0, v1) = v2 & % 17.04/3.17 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (8) with all_15_0, simplifying with (125), (128) % 17.04/3.17 | gives: % 17.04/3.17 | (139) ? [v0: $i] : (j(all_15_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.17 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) % 17.04/3.17 | = v3 & j(v1) = v4 & op2(all_15_0, v1) = v2 & op1(v0, v4) = v3 & % 17.04/3.17 | $i(v4) & $i(v3) & $i(v2)))) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (3) with all_15_0, all_25_0, simplifying with (52), % 17.04/3.17 | (124), (125), (128) gives: % 17.04/3.17 | (140) ? [v0: $i] : (op2(all_25_0, all_15_0) = v0 & op2(all_15_0, all_25_0) % 17.04/3.17 | = v0 & $i(v0)) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (2) with all_25_0, all_15_0, simplifying with (52), % 17.04/3.17 | (124), (125), (128) gives: % 17.04/3.17 | (141) ? [v0: $i] : (op2(all_25_0, all_15_0) = v0 & $i(v0) & sorti2(v0)) % 17.04/3.17 | % 17.04/3.17 | GROUND_INST: instantiating (8) with all_25_0, simplifying with (52), (124) % 17.04/3.17 | gives: % 17.04/3.17 | (142) ? [v0: $i] : (j(all_25_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.04/3.17 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) % 17.04/3.17 | = v3 & j(v1) = v4 & op2(all_25_0, v1) = v2 & op1(v0, v4) = v3 & % 17.04/3.17 | $i(v4) & $i(v3) & $i(v2)))) % 17.51/3.17 | % 17.51/3.17 | GROUND_INST: instantiating (4) with all_15_0, all_25_0, all_39_1, simplifying % 17.51/3.17 | with (52), (121), (124), (125), (128) gives: % 17.51/3.17 | (143) op2(all_25_0, all_15_0) = all_39_1 & $i(all_39_1) % 17.51/3.17 | % 17.51/3.17 | ALPHA: (143) implies: % 17.51/3.17 | (144) op2(all_25_0, all_15_0) = all_39_1 % 17.51/3.17 | % 17.51/3.17 | GROUND_INST: instantiating (9) with all_7_1, all_41_1, simplifying with (118), % 17.51/3.17 | (126), (129) gives: % 17.51/3.17 | (145) j(all_41_1) = all_7_1 % 17.51/3.17 | % 17.51/3.17 | GROUND_INST: instantiating (10) with all_15_0, all_7_2, all_25_0, all_7_3, % 17.51/3.17 | all_7_0, simplifying with (22), (35), (52), (117), (124), (125), % 17.51/3.17 | (128) gives: % 17.51/3.17 | (146) ? [v0: $i] : (j(v0) = all_7_0 & op2(all_15_0, all_25_0) = v0 & % 17.51/3.17 | $i(v0) & $i(all_7_0)) % 17.51/3.17 | % 17.51/3.18 | GROUND_INST: instantiating (10) with all_25_0, all_7_3, all_15_0, all_7_2, % 17.51/3.18 | all_7_1, simplifying with (21), (35), (52), (117), (124), (125), % 17.51/3.18 | (128) gives: % 17.51/3.18 | (147) ? [v0: $i] : (j(v0) = all_7_1 & op2(all_25_0, all_15_0) = v0 & % 17.51/3.18 | $i(v0) & $i(all_7_1)) % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (134) with fresh symbol all_63_0 gives: % 17.51/3.18 | (148) j(all_63_0) = all_7_0 & h(all_7_0) = all_63_0 & $i(all_63_0) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (148) implies: % 17.51/3.18 | (149) h(all_7_0) = all_63_0 % 17.51/3.18 | (150) j(all_63_0) = all_7_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (135) with fresh symbol all_67_0 gives: % 17.51/3.18 | (151) h(all_7_0) = all_67_0 & $i(all_67_0) & sorti2(all_67_0) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (151) implies: % 17.51/3.18 | (152) h(all_7_0) = all_67_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (141) with fresh symbol all_71_0 gives: % 17.51/3.18 | (153) op2(all_25_0, all_15_0) = all_71_0 & $i(all_71_0) & sorti2(all_71_0) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (153) implies: % 17.51/3.18 | (154) op2(all_25_0, all_15_0) = all_71_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (140) with fresh symbol all_81_0 gives: % 17.51/3.18 | (155) op2(all_25_0, all_15_0) = all_81_0 & op2(all_15_0, all_25_0) = % 17.51/3.18 | all_81_0 & $i(all_81_0) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (155) implies: % 17.51/3.18 | (156) op2(all_15_0, all_25_0) = all_81_0 % 17.51/3.18 | (157) op2(all_25_0, all_15_0) = all_81_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (147) with fresh symbol all_147_0 gives: % 17.51/3.18 | (158) j(all_147_0) = all_7_1 & op2(all_25_0, all_15_0) = all_147_0 & % 17.51/3.18 | $i(all_147_0) & $i(all_7_1) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (158) implies: % 17.51/3.18 | (159) op2(all_25_0, all_15_0) = all_147_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (146) with fresh symbol all_149_0 gives: % 17.51/3.18 | (160) j(all_149_0) = all_7_0 & op2(all_15_0, all_25_0) = all_149_0 & % 17.51/3.18 | $i(all_149_0) & $i(all_7_0) % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (132) with fresh symbols all_153_0, all_153_1, all_153_2 % 17.51/3.18 | gives: % 17.51/3.18 | (161) h(all_153_2) = all_153_1 & h(all_7_0) = all_153_0 & op2(all_34_0, % 17.51/3.18 | all_153_0) = all_153_1 & op1(all_7_3, all_7_0) = all_153_2 & % 17.51/3.18 | $i(all_153_0) & $i(all_153_1) & $i(all_153_2) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (161) implies: % 17.51/3.18 | (162) h(all_7_0) = all_153_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (133) with fresh symbols all_161_0, all_161_1, all_161_2 % 17.51/3.18 | gives: % 17.51/3.18 | (163) h(all_161_2) = all_161_1 & h(all_7_0) = all_161_0 & op2(all_31_0, % 17.51/3.18 | all_161_0) = all_161_1 & op1(all_7_2, all_7_0) = all_161_2 & % 17.51/3.18 | $i(all_161_0) & $i(all_161_1) & $i(all_161_2) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (163) implies: % 17.51/3.18 | (164) h(all_7_0) = all_161_0 % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (138) with fresh symbol all_169_0 gives: % 17.51/3.18 | (165) h(all_29_0) = all_169_0 & $i(all_169_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.51/3.18 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.51/3.18 | v2 & h(v0) = v3 & op2(all_169_0, v3) = v2 & op1(all_29_0, v0) = % 17.51/3.18 | v1 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.18 | % 17.51/3.18 | ALPHA: (165) implies: % 17.51/3.18 | (166) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.51/3.18 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_169_0, v3) = v2 % 17.51/3.18 | & op1(all_29_0, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.18 | % 17.51/3.18 | GROUND_INST: instantiating (166) with all_7_0, simplifying with (127), (130) % 17.51/3.18 | gives: % 17.51/3.18 | (167) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.51/3.18 | v2 & op2(all_169_0, v2) = v1 & op1(all_29_0, all_7_0) = v0 & $i(v2) % 17.51/3.18 | & $i(v1) & $i(v0)) % 17.51/3.18 | % 17.51/3.18 | DELTA: instantiating (142) with fresh symbol all_172_0 gives: % 17.51/3.19 | (168) j(all_25_0) = all_172_0 & $i(all_172_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.51/3.19 | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = % 17.51/3.19 | v2 & j(v0) = v3 & op2(all_25_0, v0) = v1 & op1(all_172_0, v3) = % 17.51/3.19 | v2 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.19 | % 17.51/3.19 | ALPHA: (168) implies: % 17.51/3.19 | (169) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] % 17.51/3.19 | : ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_25_0, v0) = v1 & % 17.51/3.19 | op1(all_172_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.19 | % 17.51/3.19 | GROUND_INST: instantiating (169) with all_15_0, simplifying with (125), (128) % 17.51/3.19 | gives: % 17.51/3.19 | (170) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_15_0) = % 17.51/3.19 | v2 & op2(all_25_0, all_15_0) = v0 & op1(all_172_0, v2) = v1 & % 17.51/3.19 | $i(v2) & $i(v1) & $i(v0)) % 17.51/3.19 | % 17.51/3.19 | DELTA: instantiating (137) with fresh symbol all_175_0 gives: % 17.51/3.19 | (171) h(all_23_0) = all_175_0 & $i(all_175_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.51/3.19 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.51/3.19 | v2 & h(v0) = v3 & op2(all_175_0, v3) = v2 & op1(all_23_0, v0) = % 17.51/3.19 | v1 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.19 | % 17.51/3.19 | ALPHA: (171) implies: % 17.51/3.19 | (172) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.51/3.19 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_175_0, v3) = v2 % 17.51/3.19 | & op1(all_23_0, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.19 | % 17.51/3.19 | GROUND_INST: instantiating (172) with all_7_0, simplifying with (127), (130) % 17.51/3.19 | gives: % 17.51/3.19 | (173) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.51/3.19 | v2 & op2(all_175_0, v2) = v1 & op1(all_23_0, all_7_0) = v0 & $i(v2) % 17.51/3.19 | & $i(v1) & $i(v0)) % 17.51/3.19 | % 17.51/3.19 | DELTA: instantiating (136) with fresh symbol all_178_0 gives: % 17.51/3.19 | (174) h(all_7_0) = all_178_0 & $i(all_178_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.51/3.19 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.51/3.19 | v2 & h(v0) = v3 & op2(all_178_0, v3) = v2 & op1(all_7_0, v0) = v1 % 17.51/3.19 | & $i(v3) & $i(v2) & $i(v1))) % 17.51/3.19 | % 17.51/3.19 | ALPHA: (174) implies: % 17.51/3.19 | (175) h(all_7_0) = all_178_0 % 17.60/3.19 | (176) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.60/3.19 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_178_0, v3) = v2 % 17.60/3.19 | & op1(all_7_0, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.60/3.19 | % 17.60/3.19 | GROUND_INST: instantiating (176) with all_7_0, simplifying with (127), (130) % 17.60/3.19 | gives: % 17.60/3.19 | (177) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.60/3.19 | v2 & op2(all_178_0, v2) = v1 & op1(all_7_0, all_7_0) = v0 & $i(v2) % 17.60/3.19 | & $i(v1) & $i(v0)) % 17.60/3.19 | % 17.60/3.19 | DELTA: instantiating (139) with fresh symbol all_181_0 gives: % 17.60/3.19 | (178) j(all_15_0) = all_181_0 & $i(all_181_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.60/3.19 | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = % 17.60/3.19 | v2 & j(v0) = v3 & op2(all_15_0, v0) = v1 & op1(all_181_0, v3) = % 17.60/3.19 | v2 & $i(v3) & $i(v2) & $i(v1))) % 17.60/3.19 | % 17.60/3.19 | ALPHA: (178) implies: % 17.60/3.19 | (179) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] % 17.60/3.19 | : ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_15_0, v0) = v1 & % 17.60/3.19 | op1(all_181_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.60/3.19 | % 17.60/3.19 | GROUND_INST: instantiating (179) with all_25_0, simplifying with (52), (124) % 17.60/3.19 | gives: % 17.60/3.20 | (180) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_25_0) = % 17.60/3.20 | v2 & op2(all_15_0, all_25_0) = v0 & op1(all_181_0, v2) = v1 & % 17.60/3.20 | $i(v2) & $i(v1) & $i(v0)) % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (131) with fresh symbol all_184_0 gives: % 17.60/3.20 | (181) h(all_7_1) = all_184_0 & $i(all_184_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.60/3.20 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.60/3.20 | v2 & h(v0) = v3 & op2(all_184_0, v3) = v2 & op1(all_7_1, v0) = v1 % 17.60/3.20 | & $i(v3) & $i(v2) & $i(v1))) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (181) implies: % 17.60/3.20 | (182) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.60/3.20 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_184_0, v3) = v2 % 17.60/3.20 | & op1(all_7_1, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (182) with all_7_0, simplifying with (127), (130) % 17.60/3.20 | gives: % 17.60/3.20 | (183) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_7_0) = % 17.60/3.20 | v2 & op2(all_184_0, v2) = v1 & op1(all_7_1, all_7_0) = v0 & $i(v2) % 17.60/3.20 | & $i(v1) & $i(v0)) % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (167) with fresh symbols all_191_0, all_191_1, all_191_2 % 17.60/3.20 | gives: % 17.60/3.20 | (184) h(all_191_2) = all_191_1 & h(all_7_0) = all_191_0 & op2(all_169_0, % 17.60/3.20 | all_191_0) = all_191_1 & op1(all_29_0, all_7_0) = all_191_2 & % 17.60/3.20 | $i(all_191_0) & $i(all_191_1) & $i(all_191_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (184) implies: % 17.60/3.20 | (185) h(all_7_0) = all_191_0 % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (170) with fresh symbols all_201_0, all_201_1, all_201_2 % 17.60/3.20 | gives: % 17.60/3.20 | (186) j(all_201_2) = all_201_1 & j(all_15_0) = all_201_0 & op2(all_25_0, % 17.60/3.20 | all_15_0) = all_201_2 & op1(all_172_0, all_201_0) = all_201_1 & % 17.60/3.20 | $i(all_201_0) & $i(all_201_1) & $i(all_201_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (186) implies: % 17.60/3.20 | (187) op2(all_25_0, all_15_0) = all_201_2 % 17.60/3.20 | (188) j(all_201_2) = all_201_1 % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (173) with fresh symbols all_205_0, all_205_1, all_205_2 % 17.60/3.20 | gives: % 17.60/3.20 | (189) h(all_205_2) = all_205_1 & h(all_7_0) = all_205_0 & op2(all_175_0, % 17.60/3.20 | all_205_0) = all_205_1 & op1(all_23_0, all_7_0) = all_205_2 & % 17.60/3.20 | $i(all_205_0) & $i(all_205_1) & $i(all_205_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (189) implies: % 17.60/3.20 | (190) h(all_7_0) = all_205_0 % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (177) with fresh symbols all_219_0, all_219_1, all_219_2 % 17.60/3.20 | gives: % 17.60/3.20 | (191) h(all_219_2) = all_219_1 & h(all_7_0) = all_219_0 & op2(all_178_0, % 17.60/3.20 | all_219_0) = all_219_1 & op1(all_7_0, all_7_0) = all_219_2 & % 17.60/3.20 | $i(all_219_0) & $i(all_219_1) & $i(all_219_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (191) implies: % 17.60/3.20 | (192) h(all_7_0) = all_219_0 % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (180) with fresh symbols all_227_0, all_227_1, all_227_2 % 17.60/3.20 | gives: % 17.60/3.20 | (193) j(all_227_2) = all_227_1 & j(all_25_0) = all_227_0 & op2(all_15_0, % 17.60/3.20 | all_25_0) = all_227_2 & op1(all_181_0, all_227_0) = all_227_1 & % 17.60/3.20 | $i(all_227_0) & $i(all_227_1) & $i(all_227_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (193) implies: % 17.60/3.20 | (194) op2(all_15_0, all_25_0) = all_227_2 % 17.60/3.20 | (195) j(all_227_2) = all_227_1 % 17.60/3.20 | % 17.60/3.20 | DELTA: instantiating (183) with fresh symbols all_233_0, all_233_1, all_233_2 % 17.60/3.20 | gives: % 17.60/3.20 | (196) h(all_233_2) = all_233_1 & h(all_7_0) = all_233_0 & op2(all_184_0, % 17.60/3.20 | all_233_0) = all_233_1 & op1(all_7_1, all_7_0) = all_233_2 & % 17.60/3.20 | $i(all_233_0) & $i(all_233_1) & $i(all_233_2) % 17.60/3.20 | % 17.60/3.20 | ALPHA: (196) implies: % 17.60/3.20 | (197) h(all_7_0) = all_233_0 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_81_0, all_227_2, all_25_0, all_15_0, % 17.60/3.20 | simplifying with (156), (194) gives: % 17.60/3.20 | (198) all_227_2 = all_81_0 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_39_1, all_71_0, all_15_0, all_25_0, % 17.60/3.20 | simplifying with (144), (154) gives: % 17.60/3.20 | (199) all_71_0 = all_39_1 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_71_0, all_81_0, all_15_0, all_25_0, % 17.60/3.20 | simplifying with (154), (157) gives: % 17.60/3.20 | (200) all_81_0 = all_71_0 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_41_1, all_201_2, all_15_0, all_25_0, % 17.60/3.20 | simplifying with (120), (187) gives: % 17.60/3.20 | (201) all_201_2 = all_41_1 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_147_0, all_201_2, all_15_0, all_25_0, % 17.60/3.20 | simplifying with (159), (187) gives: % 17.60/3.20 | (202) all_201_2 = all_147_0 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (14) with all_81_0, all_201_2, all_15_0, all_25_0, % 17.60/3.20 | simplifying with (157), (187) gives: % 17.60/3.20 | (203) all_201_2 = all_81_0 % 17.60/3.20 | % 17.60/3.20 | GROUND_INST: instantiating (11) with all_63_0, all_161_0, all_7_0, simplifying % 17.60/3.20 | with (149), (164) gives: % 17.60/3.20 | (204) all_161_0 = all_63_0 % 17.60/3.20 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_39_1, all_191_0, all_7_0, simplifying % 17.60/3.21 | with (119), (185) gives: % 17.60/3.21 | (205) all_191_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_161_0, all_205_0, all_7_0, % 17.60/3.21 | simplifying with (164), (190) gives: % 17.60/3.21 | (206) all_205_0 = all_161_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_67_0, all_205_0, all_7_0, simplifying % 17.60/3.21 | with (152), (190) gives: % 17.60/3.21 | (207) all_205_0 = all_67_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_191_0, all_219_0, all_7_0, % 17.60/3.21 | simplifying with (185), (192) gives: % 17.60/3.21 | (208) all_219_0 = all_191_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_178_0, all_219_0, all_7_0, % 17.60/3.21 | simplifying with (175), (192) gives: % 17.60/3.21 | (209) all_219_0 = all_178_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_205_0, all_233_0, all_7_0, % 17.60/3.21 | simplifying with (190), (197) gives: % 17.60/3.21 | (210) all_233_0 = all_205_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_191_0, all_233_0, all_7_0, % 17.60/3.21 | simplifying with (185), (197) gives: % 17.60/3.21 | (211) all_233_0 = all_191_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (11) with all_153_0, all_233_0, all_7_0, % 17.60/3.21 | simplifying with (162), (197) gives: % 17.60/3.21 | (212) all_233_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (211), (212) imply: % 17.60/3.21 | (213) all_191_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (213) implies: % 17.60/3.21 | (214) all_191_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (210), (212) imply: % 17.60/3.21 | (215) all_205_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (215) implies: % 17.60/3.21 | (216) all_205_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (208), (209) imply: % 17.60/3.21 | (217) all_191_0 = all_178_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (217) implies: % 17.60/3.21 | (218) all_191_0 = all_178_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (206), (207) imply: % 17.60/3.21 | (219) all_161_0 = all_67_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (219) implies: % 17.60/3.21 | (220) all_161_0 = all_67_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (207), (216) imply: % 17.60/3.21 | (221) all_153_0 = all_67_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (221) implies: % 17.60/3.21 | (222) all_153_0 = all_67_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (202), (203) imply: % 17.60/3.21 | (223) all_147_0 = all_81_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (201), (202) imply: % 17.60/3.21 | (224) all_147_0 = all_41_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (214), (218) imply: % 17.60/3.21 | (225) all_178_0 = all_153_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (205), (218) imply: % 17.60/3.21 | (226) all_178_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (225), (226) imply: % 17.60/3.21 | (227) all_153_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (227) implies: % 17.60/3.21 | (228) all_153_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (204), (220) imply: % 17.60/3.21 | (229) all_67_0 = all_63_0 % 17.60/3.21 | % 17.60/3.21 | SIMP: (229) implies: % 17.60/3.21 | (230) all_67_0 = all_63_0 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (222), (228) imply: % 17.60/3.21 | (231) all_67_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (231) implies: % 17.60/3.21 | (232) all_67_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (223), (224) imply: % 17.60/3.21 | (233) all_81_0 = all_41_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (233) implies: % 17.60/3.21 | (234) all_81_0 = all_41_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (200), (234) imply: % 17.60/3.21 | (235) all_71_0 = all_41_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (235) implies: % 17.60/3.21 | (236) all_71_0 = all_41_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (199), (236) imply: % 17.60/3.21 | (237) all_41_1 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (230), (232) imply: % 17.60/3.21 | (238) all_63_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (238) implies: % 17.60/3.21 | (239) all_63_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (234), (237) imply: % 17.60/3.21 | (240) all_81_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (224), (237) imply: % 17.60/3.21 | (241) all_147_0 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (202), (241) imply: % 17.60/3.21 | (242) all_201_2 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (198), (240) imply: % 17.60/3.21 | (243) all_227_2 = all_39_1 % 17.60/3.21 | % 17.60/3.21 | REDUCE: (195), (243) imply: % 17.60/3.21 | (244) j(all_39_1) = all_227_1 % 17.60/3.21 | % 17.60/3.21 | REDUCE: (188), (242) imply: % 17.60/3.21 | (245) j(all_39_1) = all_201_1 % 17.60/3.21 | % 17.60/3.21 | REDUCE: (150), (239) imply: % 17.60/3.21 | (246) j(all_39_1) = all_7_0 % 17.60/3.21 | % 17.60/3.21 | REDUCE: (145), (237) imply: % 17.60/3.21 | (247) j(all_39_1) = all_7_1 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (12) with all_7_0, all_201_1, all_39_1, simplifying % 17.60/3.21 | with (245), (246) gives: % 17.60/3.21 | (248) all_201_1 = all_7_0 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (12) with all_201_1, all_227_1, all_39_1, % 17.60/3.21 | simplifying with (244), (245) gives: % 17.60/3.21 | (249) all_227_1 = all_201_1 % 17.60/3.21 | % 17.60/3.21 | GROUND_INST: instantiating (12) with all_7_1, all_227_1, all_39_1, simplifying % 17.60/3.21 | with (244), (247) gives: % 17.60/3.21 | (250) all_227_1 = all_7_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (249), (250) imply: % 17.60/3.21 | (251) all_201_1 = all_7_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (251) implies: % 17.60/3.21 | (252) all_201_1 = all_7_1 % 17.60/3.21 | % 17.60/3.21 | COMBINE_EQS: (248), (252) imply: % 17.60/3.21 | (253) all_7_0 = all_7_1 % 17.60/3.21 | % 17.60/3.21 | SIMP: (253) implies: % 17.60/3.21 | (254) all_7_0 = all_7_1 % 17.60/3.21 | % 17.60/3.21 | REDUCE: (16), (254) imply: % 17.60/3.21 | (255) $false % 17.60/3.22 | % 17.60/3.22 | CLOSE: (255) is inconsistent. % 17.72/3.22 | % 17.72/3.22 End of proof % 17.72/3.22 % SZS output end Proof for theBenchmark % 17.72/3.22 % 17.72/3.22 2614ms %------------------------------------------------------------------------------