%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ALG029+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 : n025.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 10.55s 2.22s % Output : Proof 17.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG029+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 : n025.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 05:54:39 EDT 2023 % 0.19/0.34 % CPUTime : % 0.19/0.61 ________ _____ % 0.19/0.61 ___ __ \_________(_)________________________________ % 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.61 % 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.61 (2023-06-19) % 0.19/0.61 % 0.19/0.61 (c) Philipp Rümmer, 2009-2023 % 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.61 Amanda Stjerna. % 0.19/0.61 Free software under BSD-3-Clause. % 0.19/0.61 % 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.61 % 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.19/0.62 Running up to 7 provers in parallel. % 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.12/1.04 Prover 4: Preprocessing ... % 2.12/1.04 Prover 1: Preprocessing ... % 2.60/1.08 Prover 0: Preprocessing ... % 2.60/1.08 Prover 6: Preprocessing ... % 2.60/1.08 Prover 5: Preprocessing ... % 2.60/1.08 Prover 3: Preprocessing ... % 2.60/1.08 Prover 2: Preprocessing ... % 3.54/1.37 Prover 1: Constructing countermodel ... % 3.54/1.37 Prover 3: Constructing countermodel ... % 3.54/1.38 Prover 6: Proving ... % 3.54/1.38 Prover 5: Constructing countermodel ... % 4.21/1.42 Prover 2: Proving ... % 4.21/1.45 Prover 4: Constructing countermodel ... % 4.21/1.48 Prover 0: Proving ... % 5.14/1.54 Prover 3: gave up % 5.14/1.56 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 5.80/1.57 Prover 7: Preprocessing ... % 6.20/1.64 Prover 7: Constructing countermodel ... % 6.20/1.64 Prover 1: gave up % 6.20/1.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.20/1.68 Prover 8: Preprocessing ... % 6.20/1.70 Prover 7: gave up % 6.20/1.70 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.84/1.72 Prover 9: Preprocessing ... % 6.84/1.74 Prover 8: Warning: ignoring some quantifiers % 6.84/1.75 Prover 8: Constructing countermodel ... % 8.19/1.91 Prover 9: Constructing countermodel ... % 10.05/2.22 Prover 0: proved (1590ms) % 10.05/2.22 % 10.55/2.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.55/2.22 % 10.55/2.22 Prover 5: stopped % 10.55/2.22 Prover 9: stopped % 10.55/2.22 Prover 2: stopped % 10.55/2.22 Prover 6: stopped % 10.55/2.24 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 10.55/2.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 10.55/2.24 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.55/2.24 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 10.55/2.24 Prover 11: Preprocessing ... % 10.55/2.24 Prover 10: Preprocessing ... % 10.55/2.24 Prover 16: Preprocessing ... % 10.55/2.24 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 10.55/2.25 Prover 13: Preprocessing ... % 10.55/2.25 Prover 19: Preprocessing ... % 10.94/2.29 Prover 16: Constructing countermodel ... % 10.94/2.31 Prover 10: Constructing countermodel ... % 10.94/2.32 Prover 10: gave up % 10.94/2.33 Prover 13: Constructing countermodel ... % 10.94/2.34 Prover 19: Warning: ignoring some quantifiers % 11.53/2.35 Prover 19: Constructing countermodel ... % 11.53/2.35 Prover 11: Constructing countermodel ... % 12.84/2.55 Prover 8: gave up % 13.85/2.71 Prover 19: gave up % 16.95/3.08 Prover 13: Found proof (size 182) % 16.95/3.08 Prover 13: proved (858ms) % 16.95/3.08 Prover 16: stopped % 16.95/3.08 Prover 4: stopped % 16.95/3.08 Prover 11: stopped % 16.95/3.08 % 16.95/3.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 16.95/3.08 % 16.95/3.13 % SZS output start Proof for theBenchmark % 16.95/3.13 Assumptions after simplification: % 16.95/3.13 --------------------------------- % 16.95/3.13 % 16.95/3.13 (ax1) % 17.30/3.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op1(v0, v1) = v2) | ~ $i(v1) | % 17.30/3.16 ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | sorti1(v2)) & ! [v0: $i] : ! % 17.30/3.16 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | ? [v2: % 17.30/3.16 $i] : (op1(v0, v1) = v2 & $i(v2) & sorti1(v2))) % 17.30/3.16 % 17.30/3.16 (ax2) % 17.30/3.16 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op2(v0, v1) = v2) | ~ $i(v1) | % 17.30/3.16 ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | sorti2(v2)) & ! [v0: $i] : ! % 17.30/3.16 [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v2: % 17.30/3.16 $i] : (op2(v0, v1) = v2 & $i(v2) & sorti2(v2))) % 17.30/3.16 % 17.30/3.16 (ax3) % 17.30/3.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op1(v0, v1) = v2) | ~ $i(v1) | % 17.30/3.17 ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | (op1(v1, v0) = v2 & $i(v2))) & % 17.30/3.17 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ % 17.30/3.17 sorti1(v0) | ? [v2: $i] : (op1(v1, v0) = v2 & op1(v0, v1) = v2 & $i(v2))) % 17.30/3.17 % 17.30/3.17 (ax4) % 17.30/3.17 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) & % 17.30/3.17 op2(v1, v0) = v3 & op2(v0, v1) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 17.30/3.17 sorti2(v1) & sorti2(v0)) % 17.30/3.17 % 17.30/3.17 (co1) % 17.41/3.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 17.41/3.18 (j(v2) = v3) | ~ (j(v0) = v1) | ~ (op1(v1, v3) = v4) | ~ $i(v2) | ~ % 17.41/3.18 $i(v0) | ~ sorti2(v2) | ~ sorti2(v0) | ? [v5: $i] : (j(v5) = v4 & op2(v0, % 17.41/3.18 v2) = v5 & $i(v5) & $i(v4))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 17.41/3.18 ! [v3: $i] : ! [v4: $i] : ( ~ (h(v2) = v3) | ~ (h(v0) = v1) | ~ (op2(v1, % 17.41/3.18 v3) = v4) | ~ $i(v2) | ~ $i(v0) | ~ sorti1(v2) | ~ sorti1(v0) | ? % 17.41/3.18 [v5: $i] : (h(v5) = v4 & op1(v0, v2) = v5 & $i(v5) & $i(v4))) & ! [v0: $i] % 17.41/3.18 : ! [v1: $i] : ( ~ (j(v0) = v1) | ~ $i(v0) | ~ sorti2(v0) | h(v1) = v0) & % 17.41/3.18 ! [v0: $i] : ! [v1: $i] : ( ~ (j(v0) = v1) | ~ $i(v0) | ~ sorti2(v0) | % 17.41/3.18 sorti1(v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ (h(v0) = v1) | ~ $i(v0) | ~ % 17.41/3.18 sorti1(v0) | j(v1) = v0) & ! [v0: $i] : ! [v1: $i] : ( ~ (h(v0) = v1) | ~ % 17.41/3.18 $i(v0) | ~ sorti1(v0) | sorti2(v1)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.41/3.18 sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & h(v1) = v0 & $i(v1))) & ! [v0: $i] % 17.41/3.18 : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & $i(v1) & % 17.41/3.18 sorti1(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : % 17.41/3.18 (j(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti2(v2) | ? [v3: % 17.41/3.18 $i] : ? [v4: $i] : ? [v5: $i] : (j(v3) = v4 & j(v2) = v5 & op2(v0, % 17.41/3.18 v2) = v3 & op1(v1, v5) = v4 & $i(v5) & $i(v4) & $i(v3))))) & ! [v0: % 17.41/3.18 $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (j(v1) = v0 & h(v0) = v1 & % 17.41/3.18 $i(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (h(v0) % 17.41/3.18 = v1 & $i(v1) & sorti2(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | % 17.41/3.18 ? [v1: $i] : (h(v0) = v1 & $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti1(v2) % 17.41/3.18 | ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : (h(v3) = v4 & h(v2) = v5 & % 17.41/3.18 op2(v1, v5) = v4 & op1(v0, v2) = v3 & $i(v5) & $i(v4) & $i(v3))))) % 17.41/3.18 % 17.41/3.18 (function-axioms) % 17.41/3.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (op2(v3, % 17.41/3.18 v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 17.41/3.18 $i] : ! [v3: $i] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = % 17.41/3.18 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = % 17.41/3.18 v1) | ~ (j(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = % 17.41/3.18 v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0)) % 17.41/3.18 % 17.41/3.18 Those formulas are unsatisfiable: % 17.41/3.18 --------------------------------- % 17.41/3.18 % 17.41/3.18 Begin of proof % 17.41/3.19 | % 17.41/3.19 | ALPHA: (ax1) implies: % 17.41/3.19 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ % 17.41/3.19 | sorti1(v0) | ? [v2: $i] : (op1(v0, v1) = v2 & $i(v2) & sorti1(v2))) % 17.41/3.19 | % 17.41/3.19 | ALPHA: (ax2) implies: % 17.41/3.19 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti2(v1) | ~ % 17.41/3.19 | sorti2(v0) | ? [v2: $i] : (op2(v0, v1) = v2 & $i(v2) & sorti2(v2))) % 17.41/3.19 | % 17.41/3.19 | ALPHA: (ax3) implies: % 17.41/3.19 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ % 17.41/3.19 | sorti1(v0) | ? [v2: $i] : (op1(v1, v0) = v2 & op1(v0, v1) = v2 & % 17.41/3.19 | $i(v2))) % 17.41/3.19 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (op1(v0, v1) = v2) | ~ % 17.41/3.19 | $i(v1) | ~ $i(v0) | ~ sorti1(v1) | ~ sorti1(v0) | (op1(v1, v0) = % 17.41/3.19 | v2 & $i(v2))) % 17.41/3.19 | % 17.41/3.19 | ALPHA: (co1) implies: % 17.41/3.19 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : (h(v0) = v1 & % 17.41/3.19 | $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti1(v2) | ? [v3: $i] : % 17.41/3.19 | ? [v4: $i] : ? [v5: $i] : (h(v3) = v4 & h(v2) = v5 & op2(v1, v5) % 17.41/3.19 | = v4 & op1(v0, v2) = v3 & $i(v5) & $i(v4) & $i(v3))))) % 17.41/3.19 | (6) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & % 17.41/3.19 | $i(v1) & ! [v2: $i] : ( ~ $i(v2) | ~ sorti2(v2) | ? [v3: $i] : % 17.41/3.19 | ? [v4: $i] : ? [v5: $i] : (j(v3) = v4 & j(v2) = v5 & op2(v0, v2) % 17.41/3.19 | = v3 & op1(v1, v5) = v4 & $i(v5) & $i(v4) & $i(v3))))) % 17.41/3.19 | (7) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & % 17.41/3.19 | $i(v1) & sorti1(v1))) % 17.41/3.20 | (8) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : (j(v0) = v1 & % 17.41/3.20 | h(v1) = v0 & $i(v1))) % 17.41/3.20 | (9) ! [v0: $i] : ! [v1: $i] : ( ~ (j(v0) = v1) | ~ $i(v0) | ~ % 17.41/3.20 | sorti2(v0) | h(v1) = v0) % 17.41/3.20 | (10) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 17.41/3.20 | ( ~ (h(v2) = v3) | ~ (h(v0) = v1) | ~ (op2(v1, v3) = v4) | ~ $i(v2) % 17.41/3.20 | | ~ $i(v0) | ~ sorti1(v2) | ~ sorti1(v0) | ? [v5: $i] : (h(v5) = % 17.41/3.20 | v4 & op1(v0, v2) = v5 & $i(v5) & $i(v4))) % 17.41/3.20 | % 17.41/3.20 | ALPHA: (function-axioms) implies: % 17.41/3.20 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (h(v2) = v1) | % 17.41/3.20 | ~ (h(v2) = v0)) % 17.41/3.20 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (j(v2) = v1) | % 17.41/3.20 | ~ (j(v2) = v0)) % 17.41/3.20 | (13) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 17.41/3.20 | (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 17.41/3.20 | (14) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 17.41/3.20 | (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 17.41/3.20 | % 17.41/3.20 | DELTA: instantiating (ax4) with fresh symbols all_7_0, all_7_1, all_7_2, % 17.41/3.20 | all_7_3 gives: % 17.41/3.20 | (15) ~ (all_7_0 = all_7_1) & op2(all_7_2, all_7_3) = all_7_0 & % 17.41/3.20 | op2(all_7_3, all_7_2) = all_7_1 & $i(all_7_0) & $i(all_7_1) & % 17.41/3.20 | $i(all_7_2) & $i(all_7_3) & sorti2(all_7_2) & sorti2(all_7_3) % 17.41/3.20 | % 17.41/3.20 | ALPHA: (15) implies: % 17.41/3.20 | (16) ~ (all_7_0 = all_7_1) % 17.41/3.20 | (17) sorti2(all_7_3) % 17.41/3.20 | (18) sorti2(all_7_2) % 17.41/3.20 | (19) $i(all_7_3) % 17.41/3.20 | (20) $i(all_7_2) % 17.41/3.20 | (21) op2(all_7_3, all_7_2) = all_7_1 % 17.41/3.20 | (22) op2(all_7_2, all_7_3) = all_7_0 % 17.41/3.20 | % 17.41/3.20 | GROUND_INST: instantiating (2) with all_7_3, all_7_3, simplifying with (17), % 17.41/3.20 | (19) gives: % 17.41/3.20 | (23) ? [v0: $i] : (op2(all_7_3, all_7_3) = v0 & $i(v0) & sorti2(v0)) % 17.41/3.20 | % 17.41/3.20 | GROUND_INST: instantiating (8) with all_7_3, simplifying with (17), (19) % 17.41/3.20 | gives: % 17.41/3.20 | (24) ? [v0: $i] : (j(all_7_3) = v0 & h(v0) = all_7_3 & $i(v0)) % 17.41/3.20 | % 17.41/3.20 | GROUND_INST: instantiating (7) with all_7_3, simplifying with (17), (19) % 17.41/3.20 | gives: % 17.41/3.20 | (25) ? [v0: $i] : (j(all_7_3) = v0 & $i(v0) & sorti1(v0)) % 17.41/3.20 | % 17.41/3.20 | GROUND_INST: instantiating (6) with all_7_3, simplifying with (17), (19) % 17.41/3.20 | gives: % 17.41/3.20 | (26) ? [v0: $i] : (j(all_7_3) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.41/3.20 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) = % 17.41/3.20 | v3 & j(v1) = v4 & op2(all_7_3, v1) = v2 & op1(v0, v4) = v3 & % 17.41/3.20 | $i(v4) & $i(v3) & $i(v2)))) % 17.41/3.20 | % 17.41/3.21 | GROUND_INST: instantiating (2) with all_7_3, all_7_2, simplifying with (17), % 17.41/3.21 | (18), (19), (20) gives: % 17.41/3.21 | (27) ? [v0: $i] : (op2(all_7_3, all_7_2) = v0 & $i(v0) & sorti2(v0)) % 17.41/3.21 | % 17.41/3.21 | GROUND_INST: instantiating (2) with all_7_2, all_7_3, simplifying with (17), % 17.41/3.21 | (18), (19), (20) gives: % 17.41/3.21 | (28) ? [v0: $i] : (op2(all_7_2, all_7_3) = v0 & $i(v0) & sorti2(v0)) % 17.41/3.21 | % 17.41/3.21 | GROUND_INST: instantiating (8) with all_7_2, simplifying with (18), (20) % 17.41/3.21 | gives: % 17.41/3.21 | (29) ? [v0: $i] : (j(all_7_2) = v0 & h(v0) = all_7_2 & $i(v0)) % 17.41/3.21 | % 17.41/3.21 | GROUND_INST: instantiating (7) with all_7_2, simplifying with (18), (20) % 17.41/3.21 | gives: % 17.41/3.21 | (30) ? [v0: $i] : (j(all_7_2) = v0 & $i(v0) & sorti1(v0)) % 17.41/3.21 | % 17.41/3.21 | GROUND_INST: instantiating (6) with all_7_2, simplifying with (18), (20) % 17.41/3.21 | gives: % 17.41/3.21 | (31) ? [v0: $i] : (j(all_7_2) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.41/3.21 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) = % 17.41/3.21 | v3 & j(v1) = v4 & op2(all_7_2, v1) = v2 & op1(v0, v4) = v3 & % 17.41/3.21 | $i(v4) & $i(v3) & $i(v2)))) % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (29) with fresh symbol all_15_0 gives: % 17.41/3.21 | (32) j(all_7_2) = all_15_0 & h(all_15_0) = all_7_2 & $i(all_15_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (32) implies: % 17.41/3.21 | (33) h(all_15_0) = all_7_2 % 17.41/3.21 | (34) j(all_7_2) = all_15_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (28) with fresh symbol all_17_0 gives: % 17.41/3.21 | (35) op2(all_7_2, all_7_3) = all_17_0 & $i(all_17_0) & sorti2(all_17_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (35) implies: % 17.41/3.21 | (36) sorti2(all_17_0) % 17.41/3.21 | (37) $i(all_17_0) % 17.41/3.21 | (38) op2(all_7_2, all_7_3) = all_17_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (27) with fresh symbol all_19_0 gives: % 17.41/3.21 | (39) op2(all_7_3, all_7_2) = all_19_0 & $i(all_19_0) & sorti2(all_19_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (39) implies: % 17.41/3.21 | (40) sorti2(all_19_0) % 17.41/3.21 | (41) $i(all_19_0) % 17.41/3.21 | (42) op2(all_7_3, all_7_2) = all_19_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (30) with fresh symbol all_21_0 gives: % 17.41/3.21 | (43) j(all_7_2) = all_21_0 & $i(all_21_0) & sorti1(all_21_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (43) implies: % 17.41/3.21 | (44) sorti1(all_21_0) % 17.41/3.21 | (45) $i(all_21_0) % 17.41/3.21 | (46) j(all_7_2) = all_21_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (25) with fresh symbol all_25_0 gives: % 17.41/3.21 | (47) j(all_7_3) = all_25_0 & $i(all_25_0) & sorti1(all_25_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (47) implies: % 17.41/3.21 | (48) sorti1(all_25_0) % 17.41/3.21 | (49) j(all_7_3) = all_25_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (24) with fresh symbol all_27_0 gives: % 17.41/3.21 | (50) j(all_7_3) = all_27_0 & h(all_27_0) = all_7_3 & $i(all_27_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (50) implies: % 17.41/3.21 | (51) $i(all_27_0) % 17.41/3.21 | (52) h(all_27_0) = all_7_3 % 17.41/3.21 | (53) j(all_7_3) = all_27_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (23) with fresh symbol all_29_0 gives: % 17.41/3.21 | (54) op2(all_7_3, all_7_3) = all_29_0 & $i(all_29_0) & sorti2(all_29_0) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (54) implies: % 17.41/3.21 | (55) sorti2(all_29_0) % 17.41/3.21 | (56) op2(all_7_3, all_7_3) = all_29_0 % 17.41/3.21 | % 17.41/3.21 | DELTA: instantiating (31) with fresh symbol all_31_0 gives: % 17.41/3.21 | (57) j(all_7_2) = all_31_0 & $i(all_31_0) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.41/3.21 | sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = v2 & % 17.41/3.21 | j(v0) = v3 & op2(all_7_2, v0) = v1 & op1(all_31_0, v3) = v2 & % 17.41/3.21 | $i(v3) & $i(v2) & $i(v1))) % 17.41/3.21 | % 17.41/3.21 | ALPHA: (57) implies: % 17.41/3.21 | (58) j(all_7_2) = all_31_0 % 17.41/3.22 | (59) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : % 17.41/3.22 | ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_7_2, v0) = v1 & % 17.41/3.22 | op1(all_31_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.41/3.22 | % 17.41/3.22 | GROUND_INST: instantiating (59) with all_7_3, simplifying with (17), (19) % 17.41/3.22 | gives: % 17.63/3.22 | (60) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_3) = % 17.63/3.22 | v2 & op2(all_7_2, all_7_3) = v0 & op1(all_31_0, v2) = v1 & $i(v2) & % 17.63/3.22 | $i(v1) & $i(v0)) % 17.63/3.22 | % 17.63/3.22 | GROUND_INST: instantiating (59) with all_7_2, simplifying with (18), (20) % 17.63/3.22 | gives: % 17.63/3.22 | (61) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_2) = % 17.63/3.22 | v2 & op2(all_7_2, all_7_2) = v0 & op1(all_31_0, v2) = v1 & $i(v2) & % 17.63/3.22 | $i(v1) & $i(v0)) % 17.63/3.22 | % 17.63/3.22 | DELTA: instantiating (26) with fresh symbol all_34_0 gives: % 17.63/3.22 | (62) j(all_7_3) = all_34_0 & $i(all_34_0) & ! [v0: $i] : ( ~ $i(v0) | ~ % 17.63/3.22 | sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = v2 & % 17.63/3.22 | j(v0) = v3 & op2(all_7_3, v0) = v1 & op1(all_34_0, v3) = v2 & % 17.63/3.22 | $i(v3) & $i(v2) & $i(v1))) % 17.63/3.22 | % 17.63/3.22 | ALPHA: (62) implies: % 17.63/3.22 | (63) j(all_7_3) = all_34_0 % 17.63/3.22 | (64) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : % 17.63/3.22 | ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_7_3, v0) = v1 & % 17.63/3.22 | op1(all_34_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.63/3.22 | % 17.63/3.22 | GROUND_INST: instantiating (64) with all_7_3, simplifying with (17), (19) % 17.63/3.22 | gives: % 17.63/3.22 | (65) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_3) = % 17.63/3.22 | v2 & op2(all_7_3, all_7_3) = v0 & op1(all_34_0, v2) = v1 & $i(v2) & % 17.63/3.22 | $i(v1) & $i(v0)) % 17.63/3.22 | % 17.63/3.22 | GROUND_INST: instantiating (64) with all_7_2, simplifying with (18), (20) % 17.63/3.22 | gives: % 17.63/3.22 | (66) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_2) = % 17.63/3.22 | v2 & op2(all_7_3, all_7_2) = v0 & op1(all_34_0, v2) = v1 & $i(v2) & % 17.63/3.22 | $i(v1) & $i(v0)) % 17.63/3.22 | % 17.63/3.22 | DELTA: instantiating (61) with fresh symbols all_37_0, all_37_1, all_37_2 % 17.63/3.22 | gives: % 17.63/3.22 | (67) j(all_37_2) = all_37_1 & j(all_7_2) = all_37_0 & op2(all_7_2, all_7_2) % 17.63/3.22 | = all_37_2 & op1(all_31_0, all_37_0) = all_37_1 & $i(all_37_0) & % 17.63/3.22 | $i(all_37_1) & $i(all_37_2) % 17.63/3.22 | % 17.63/3.22 | ALPHA: (67) implies: % 17.63/3.22 | (68) j(all_7_2) = all_37_0 % 17.63/3.22 | % 17.63/3.22 | DELTA: instantiating (60) with fresh symbols all_39_0, all_39_1, all_39_2 % 17.63/3.22 | gives: % 17.63/3.22 | (69) j(all_39_2) = all_39_1 & j(all_7_3) = all_39_0 & op2(all_7_2, all_7_3) % 17.63/3.22 | = all_39_2 & op1(all_31_0, all_39_0) = all_39_1 & $i(all_39_0) & % 17.63/3.22 | $i(all_39_1) & $i(all_39_2) % 17.63/3.22 | % 17.63/3.22 | ALPHA: (69) implies: % 17.63/3.22 | (70) op1(all_31_0, all_39_0) = all_39_1 % 17.63/3.22 | (71) op2(all_7_2, all_7_3) = all_39_2 % 17.63/3.22 | (72) j(all_7_3) = all_39_0 % 17.63/3.22 | (73) j(all_39_2) = all_39_1 % 17.63/3.22 | % 17.63/3.22 | DELTA: instantiating (66) with fresh symbols all_41_0, all_41_1, all_41_2 % 17.63/3.22 | gives: % 17.63/3.22 | (74) j(all_41_2) = all_41_1 & j(all_7_2) = all_41_0 & op2(all_7_3, all_7_2) % 17.63/3.22 | = all_41_2 & op1(all_34_0, all_41_0) = all_41_1 & $i(all_41_0) & % 17.63/3.22 | $i(all_41_1) & $i(all_41_2) % 17.63/3.22 | % 17.63/3.22 | ALPHA: (74) implies: % 17.63/3.22 | (75) op1(all_34_0, all_41_0) = all_41_1 % 17.63/3.22 | (76) op2(all_7_3, all_7_2) = all_41_2 % 17.63/3.23 | (77) j(all_7_2) = all_41_0 % 17.63/3.23 | (78) j(all_41_2) = all_41_1 % 17.63/3.23 | % 17.63/3.23 | DELTA: instantiating (65) with fresh symbols all_43_0, all_43_1, all_43_2 % 17.63/3.23 | gives: % 17.63/3.23 | (79) j(all_43_2) = all_43_1 & j(all_7_3) = all_43_0 & op2(all_7_3, all_7_3) % 17.63/3.23 | = all_43_2 & op1(all_34_0, all_43_0) = all_43_1 & $i(all_43_0) & % 17.63/3.23 | $i(all_43_1) & $i(all_43_2) % 17.63/3.23 | % 17.63/3.23 | ALPHA: (79) implies: % 17.63/3.23 | (80) $i(all_43_2) % 17.63/3.23 | (81) op2(all_7_3, all_7_3) = all_43_2 % 17.63/3.23 | (82) j(all_7_3) = all_43_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (14) with all_29_0, all_43_2, all_7_3, all_7_3, % 17.63/3.23 | simplifying with (56), (81) gives: % 17.63/3.23 | (83) all_43_2 = all_29_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (14) with all_7_1, all_41_2, all_7_2, all_7_3, % 17.63/3.23 | simplifying with (21), (76) gives: % 17.63/3.23 | (84) all_41_2 = all_7_1 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (14) with all_19_0, all_41_2, all_7_2, all_7_3, % 17.63/3.23 | simplifying with (42), (76) gives: % 17.63/3.23 | (85) all_41_2 = all_19_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (14) with all_7_0, all_39_2, all_7_3, all_7_2, % 17.63/3.23 | simplifying with (22), (71) gives: % 17.63/3.23 | (86) all_39_2 = all_7_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (14) with all_17_0, all_39_2, all_7_3, all_7_2, % 17.63/3.23 | simplifying with (38), (71) gives: % 17.63/3.23 | (87) all_39_2 = all_17_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_34_0, all_39_0, all_7_3, simplifying % 17.63/3.23 | with (63), (72) gives: % 17.63/3.23 | (88) all_39_0 = all_34_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_27_0, all_39_0, all_7_3, simplifying % 17.63/3.23 | with (53), (72) gives: % 17.63/3.23 | (89) all_39_0 = all_27_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_34_0, all_43_0, all_7_3, simplifying % 17.63/3.23 | with (63), (82) gives: % 17.63/3.23 | (90) all_43_0 = all_34_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_25_0, all_43_0, all_7_3, simplifying % 17.63/3.23 | with (49), (82) gives: % 17.63/3.23 | (91) all_43_0 = all_25_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_21_0, all_37_0, all_7_2, simplifying % 17.63/3.23 | with (46), (68) gives: % 17.63/3.23 | (92) all_37_0 = all_21_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_15_0, all_37_0, all_7_2, simplifying % 17.63/3.23 | with (34), (68) gives: % 17.63/3.23 | (93) all_37_0 = all_15_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_37_0, all_41_0, all_7_2, simplifying % 17.63/3.23 | with (68), (77) gives: % 17.63/3.23 | (94) all_41_0 = all_37_0 % 17.63/3.23 | % 17.63/3.23 | GROUND_INST: instantiating (12) with all_31_0, all_41_0, all_7_2, simplifying % 17.63/3.23 | with (58), (77) gives: % 17.63/3.23 | (95) all_41_0 = all_31_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (90), (91) imply: % 17.63/3.23 | (96) all_34_0 = all_25_0 % 17.63/3.23 | % 17.63/3.23 | SIMP: (96) implies: % 17.63/3.23 | (97) all_34_0 = all_25_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (94), (95) imply: % 17.63/3.23 | (98) all_37_0 = all_31_0 % 17.63/3.23 | % 17.63/3.23 | SIMP: (98) implies: % 17.63/3.23 | (99) all_37_0 = all_31_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (84), (85) imply: % 17.63/3.23 | (100) all_19_0 = all_7_1 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (88), (89) imply: % 17.63/3.23 | (101) all_34_0 = all_27_0 % 17.63/3.23 | % 17.63/3.23 | SIMP: (101) implies: % 17.63/3.23 | (102) all_34_0 = all_27_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (86), (87) imply: % 17.63/3.23 | (103) all_17_0 = all_7_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (92), (99) imply: % 17.63/3.23 | (104) all_31_0 = all_21_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (93), (99) imply: % 17.63/3.23 | (105) all_31_0 = all_15_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (97), (102) imply: % 17.63/3.23 | (106) all_27_0 = all_25_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (104), (105) imply: % 17.63/3.23 | (107) all_21_0 = all_15_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (89), (106) imply: % 17.63/3.23 | (108) all_39_0 = all_25_0 % 17.63/3.23 | % 17.63/3.23 | COMBINE_EQS: (95), (105) imply: % 17.63/3.23 | (109) all_41_0 = all_15_0 % 17.63/3.23 | % 17.63/3.23 | REDUCE: (78), (84) imply: % 17.63/3.23 | (110) j(all_7_1) = all_41_1 % 17.63/3.24 | % 17.63/3.24 | REDUCE: (73), (86) imply: % 17.63/3.24 | (111) j(all_7_0) = all_39_1 % 17.63/3.24 | % 17.63/3.24 | REDUCE: (52), (106) imply: % 17.63/3.24 | (112) h(all_25_0) = all_7_3 % 17.63/3.24 | % 17.63/3.24 | REDUCE: (75), (97), (109) imply: % 17.63/3.24 | (113) op1(all_25_0, all_15_0) = all_41_1 % 17.63/3.24 | % 17.63/3.24 | REDUCE: (70), (105), (108) imply: % 17.63/3.24 | (114) op1(all_15_0, all_25_0) = all_39_1 % 17.63/3.24 | % 17.63/3.24 | REDUCE: (80), (83) imply: % 17.63/3.24 | (115) $i(all_29_0) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (51), (106) imply: % 17.63/3.24 | (116) $i(all_25_0) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (45), (107) imply: % 17.63/3.24 | (117) $i(all_15_0) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (41), (100) imply: % 17.63/3.24 | (118) $i(all_7_1) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (37), (103) imply: % 17.63/3.24 | (119) $i(all_7_0) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (40), (100) imply: % 17.63/3.24 | (120) sorti2(all_7_1) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (36), (103) imply: % 17.63/3.24 | (121) sorti2(all_7_0) % 17.63/3.24 | % 17.63/3.24 | REDUCE: (44), (107) imply: % 17.63/3.24 | (122) sorti1(all_15_0) % 17.63/3.24 | % 17.63/3.24 | GROUND_INST: instantiating (5) with all_15_0, simplifying with (117), (122) % 17.63/3.24 | gives: % 17.63/3.24 | (123) ? [v0: $i] : (h(all_15_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.63/3.24 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) % 17.63/3.24 | = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_15_0, v1) = v2 & % 17.63/3.24 | $i(v4) & $i(v3) & $i(v2)))) % 17.63/3.24 | % 17.74/3.24 | GROUND_INST: instantiating (3) with all_15_0, all_25_0, simplifying with (48), % 17.74/3.24 | (116), (117), (122) gives: % 17.74/3.24 | (124) ? [v0: $i] : (op1(all_25_0, all_15_0) = v0 & op1(all_15_0, all_25_0) % 17.74/3.24 | = v0 & $i(v0)) % 17.74/3.24 | % 17.74/3.24 | GROUND_INST: instantiating (1) with all_15_0, all_25_0, simplifying with (48), % 17.74/3.24 | (116), (117), (122) gives: % 17.74/3.24 | (125) ? [v0: $i] : (op1(all_15_0, all_25_0) = v0 & $i(v0) & sorti1(v0)) % 17.74/3.24 | % 17.74/3.24 | GROUND_INST: instantiating (1) with all_25_0, all_15_0, simplifying with (48), % 17.74/3.24 | (116), (117), (122) gives: % 17.74/3.24 | (126) ? [v0: $i] : (op1(all_25_0, all_15_0) = v0 & $i(v0) & sorti1(v0)) % 17.74/3.24 | % 17.74/3.24 | GROUND_INST: instantiating (5) with all_25_0, simplifying with (48), (116) % 17.74/3.24 | gives: % 17.74/3.25 | (127) ? [v0: $i] : (h(all_25_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.74/3.25 | ~ sorti1(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (h(v2) % 17.74/3.25 | = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_25_0, v1) = v2 & % 17.74/3.25 | $i(v4) & $i(v3) & $i(v2)))) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (59) with all_7_0, simplifying with (119), (121) % 17.74/3.25 | gives: % 17.74/3.25 | (128) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_0) = % 17.74/3.25 | v2 & op2(all_7_2, all_7_0) = v0 & op1(all_31_0, v2) = v1 & $i(v2) & % 17.74/3.25 | $i(v1) & $i(v0)) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (8) with all_7_0, simplifying with (119), (121) % 17.74/3.25 | gives: % 17.74/3.25 | (129) ? [v0: $i] : (j(all_7_0) = v0 & h(v0) = all_7_0 & $i(v0)) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (6) with all_7_0, simplifying with (119), (121) % 17.74/3.25 | gives: % 17.74/3.25 | (130) ? [v0: $i] : (j(all_7_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.74/3.25 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) = % 17.74/3.25 | v3 & j(v1) = v4 & op2(all_7_0, v1) = v2 & op1(v0, v4) = v3 & % 17.74/3.25 | $i(v4) & $i(v3) & $i(v2)))) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (6) with all_29_0, simplifying with (55), (115) % 17.74/3.25 | gives: % 17.74/3.25 | (131) ? [v0: $i] : (j(all_29_0) = v0 & $i(v0) & ! [v1: $i] : ( ~ $i(v1) | % 17.74/3.25 | ~ sorti2(v1) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : (j(v2) % 17.74/3.25 | = v3 & j(v1) = v4 & op2(all_29_0, v1) = v2 & op1(v0, v4) = v3 & % 17.74/3.25 | $i(v4) & $i(v3) & $i(v2)))) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (4) with all_15_0, all_25_0, all_39_1, simplifying % 17.74/3.25 | with (48), (114), (116), (117), (122) gives: % 17.74/3.25 | (132) op1(all_25_0, all_15_0) = all_39_1 & $i(all_39_1) % 17.74/3.25 | % 17.74/3.25 | ALPHA: (132) implies: % 17.74/3.25 | (133) op1(all_25_0, all_15_0) = all_39_1 % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (10) with all_15_0, all_7_2, all_25_0, all_7_3, % 17.74/3.25 | all_7_0, simplifying with (22), (33), (48), (112), (116), (117), % 17.74/3.25 | (122) gives: % 17.74/3.25 | (134) ? [v0: $i] : (h(v0) = all_7_0 & op1(all_15_0, all_25_0) = v0 & % 17.74/3.25 | $i(v0) & $i(all_7_0)) % 17.74/3.25 | % 17.74/3.25 | GROUND_INST: instantiating (9) with all_7_1, all_41_1, simplifying with (110), % 17.74/3.25 | (118), (120) gives: % 17.74/3.25 | (135) h(all_41_1) = all_7_1 % 17.74/3.25 | % 17.74/3.25 | DELTA: instantiating (129) with fresh symbol all_125_0 gives: % 17.74/3.25 | (136) j(all_7_0) = all_125_0 & h(all_125_0) = all_7_0 & $i(all_125_0) % 17.74/3.25 | % 17.74/3.25 | ALPHA: (136) implies: % 17.74/3.25 | (137) h(all_125_0) = all_7_0 % 17.74/3.25 | (138) j(all_7_0) = all_125_0 % 17.74/3.25 | % 17.74/3.25 | DELTA: instantiating (126) with fresh symbol all_135_0 gives: % 17.74/3.25 | (139) op1(all_25_0, all_15_0) = all_135_0 & $i(all_135_0) & % 17.74/3.25 | sorti1(all_135_0) % 17.74/3.25 | % 17.74/3.25 | ALPHA: (139) implies: % 17.74/3.25 | (140) op1(all_25_0, all_15_0) = all_135_0 % 17.74/3.25 | % 17.74/3.25 | DELTA: instantiating (124) with fresh symbol all_137_0 gives: % 17.74/3.25 | (141) op1(all_25_0, all_15_0) = all_137_0 & op1(all_15_0, all_25_0) = % 17.74/3.25 | all_137_0 & $i(all_137_0) % 17.74/3.25 | % 17.74/3.25 | ALPHA: (141) implies: % 17.74/3.25 | (142) op1(all_15_0, all_25_0) = all_137_0 % 17.74/3.25 | (143) op1(all_25_0, all_15_0) = all_137_0 % 17.74/3.25 | % 17.74/3.25 | DELTA: instantiating (125) with fresh symbol all_143_0 gives: % 17.74/3.25 | (144) op1(all_15_0, all_25_0) = all_143_0 & $i(all_143_0) & % 17.74/3.25 | sorti1(all_143_0) % 17.74/3.25 | % 17.74/3.25 | ALPHA: (144) implies: % 17.74/3.26 | (145) op1(all_15_0, all_25_0) = all_143_0 % 17.74/3.26 | % 17.74/3.26 | DELTA: instantiating (134) with fresh symbol all_145_0 gives: % 17.74/3.26 | (146) h(all_145_0) = all_7_0 & op1(all_15_0, all_25_0) = all_145_0 & % 17.74/3.26 | $i(all_145_0) & $i(all_7_0) % 17.74/3.26 | % 17.74/3.26 | ALPHA: (146) implies: % 17.74/3.26 | (147) op1(all_15_0, all_25_0) = all_145_0 % 17.74/3.26 | % 17.74/3.26 | DELTA: instantiating (128) with fresh symbols all_167_0, all_167_1, all_167_2 % 17.74/3.26 | gives: % 17.74/3.26 | (148) j(all_167_2) = all_167_1 & j(all_7_0) = all_167_0 & op2(all_7_2, % 17.74/3.26 | all_7_0) = all_167_2 & op1(all_31_0, all_167_0) = all_167_1 & % 17.74/3.26 | $i(all_167_0) & $i(all_167_1) & $i(all_167_2) % 17.74/3.26 | % 17.74/3.26 | ALPHA: (148) implies: % 17.74/3.26 | (149) j(all_7_0) = all_167_0 % 17.74/3.26 | % 17.74/3.26 | DELTA: instantiating (131) with fresh symbol all_172_0 gives: % 17.74/3.26 | (150) j(all_29_0) = all_172_0 & $i(all_172_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.74/3.26 | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = % 17.74/3.26 | v2 & j(v0) = v3 & op2(all_29_0, v0) = v1 & op1(all_172_0, v3) = % 17.74/3.26 | v2 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.26 | % 17.74/3.26 | ALPHA: (150) implies: % 17.74/3.26 | (151) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] % 17.74/3.26 | : ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_29_0, v0) = v1 & % 17.74/3.26 | op1(all_172_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.26 | % 17.74/3.26 | GROUND_INST: instantiating (151) with all_7_0, simplifying with (119), (121) % 17.74/3.26 | gives: % 17.74/3.26 | (152) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_0) = % 17.74/3.26 | v2 & op2(all_29_0, all_7_0) = v0 & op1(all_172_0, v2) = v1 & $i(v2) % 17.74/3.26 | & $i(v1) & $i(v0)) % 17.74/3.26 | % 17.74/3.26 | DELTA: instantiating (127) with fresh symbol all_175_0 gives: % 17.74/3.26 | (153) h(all_25_0) = all_175_0 & $i(all_175_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.74/3.26 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.74/3.26 | v2 & h(v0) = v3 & op2(all_175_0, v3) = v2 & op1(all_25_0, v0) = % 17.74/3.26 | v1 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.26 | % 17.74/3.26 | ALPHA: (153) implies: % 17.74/3.26 | (154) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.74/3.26 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_175_0, v3) = v2 % 17.74/3.26 | & op1(all_25_0, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.26 | % 17.74/3.26 | GROUND_INST: instantiating (154) with all_15_0, simplifying with (117), (122) % 17.74/3.26 | gives: % 17.74/3.26 | (155) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_15_0) = % 17.74/3.26 | v2 & op2(all_175_0, v2) = v1 & op1(all_25_0, all_15_0) = v0 & % 17.74/3.26 | $i(v2) & $i(v1) & $i(v0)) % 17.74/3.26 | % 17.74/3.26 | DELTA: instantiating (130) with fresh symbol all_178_0 gives: % 17.74/3.27 | (156) j(all_7_0) = all_178_0 & $i(all_178_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.74/3.27 | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (j(v1) = % 17.74/3.27 | v2 & j(v0) = v3 & op2(all_7_0, v0) = v1 & op1(all_178_0, v3) = v2 % 17.74/3.27 | & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.27 | % 17.74/3.27 | ALPHA: (156) implies: % 17.74/3.27 | (157) j(all_7_0) = all_178_0 % 17.74/3.27 | (158) ! [v0: $i] : ( ~ $i(v0) | ~ sorti2(v0) | ? [v1: $i] : ? [v2: $i] % 17.74/3.27 | : ? [v3: $i] : (j(v1) = v2 & j(v0) = v3 & op2(all_7_0, v0) = v1 & % 17.74/3.27 | op1(all_178_0, v3) = v2 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.27 | % 17.74/3.27 | GROUND_INST: instantiating (158) with all_7_0, simplifying with (119), (121) % 17.74/3.27 | gives: % 17.74/3.27 | (159) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (j(v0) = v1 & j(all_7_0) = % 17.74/3.27 | v2 & op2(all_7_0, all_7_0) = v0 & op1(all_178_0, v2) = v1 & $i(v2) % 17.74/3.27 | & $i(v1) & $i(v0)) % 17.74/3.27 | % 17.74/3.27 | DELTA: instantiating (123) with fresh symbol all_184_0 gives: % 17.74/3.27 | (160) h(all_15_0) = all_184_0 & $i(all_184_0) & ! [v0: $i] : ( ~ $i(v0) | % 17.74/3.27 | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : (h(v1) = % 17.74/3.27 | v2 & h(v0) = v3 & op2(all_184_0, v3) = v2 & op1(all_15_0, v0) = % 17.74/3.27 | v1 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.27 | % 17.74/3.27 | ALPHA: (160) implies: % 17.74/3.27 | (161) ! [v0: $i] : ( ~ $i(v0) | ~ sorti1(v0) | ? [v1: $i] : ? [v2: $i] % 17.74/3.27 | : ? [v3: $i] : (h(v1) = v2 & h(v0) = v3 & op2(all_184_0, v3) = v2 % 17.74/3.27 | & op1(all_15_0, v0) = v1 & $i(v3) & $i(v2) & $i(v1))) % 17.74/3.27 | % 17.74/3.27 | GROUND_INST: instantiating (161) with all_25_0, simplifying with (48), (116) % 17.74/3.27 | gives: % 17.74/3.27 | (162) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (h(v0) = v1 & h(all_25_0) = % 17.74/3.27 | v2 & op2(all_184_0, v2) = v1 & op1(all_15_0, all_25_0) = v0 & % 17.74/3.27 | $i(v2) & $i(v1) & $i(v0)) % 17.74/3.27 | % 17.74/3.27 | DELTA: instantiating (152) with fresh symbols all_201_0, all_201_1, all_201_2 % 17.74/3.27 | gives: % 17.74/3.27 | (163) j(all_201_2) = all_201_1 & j(all_7_0) = all_201_0 & op2(all_29_0, % 17.74/3.27 | all_7_0) = all_201_2 & op1(all_172_0, all_201_0) = all_201_1 & % 17.74/3.27 | $i(all_201_0) & $i(all_201_1) & $i(all_201_2) % 17.74/3.27 | % 17.74/3.27 | ALPHA: (163) implies: % 17.74/3.27 | (164) j(all_7_0) = all_201_0 % 17.74/3.27 | % 17.74/3.27 | DELTA: instantiating (155) with fresh symbols all_213_0, all_213_1, all_213_2 % 17.74/3.27 | gives: % 17.74/3.27 | (165) h(all_213_2) = all_213_1 & h(all_15_0) = all_213_0 & op2(all_175_0, % 17.74/3.27 | all_213_0) = all_213_1 & op1(all_25_0, all_15_0) = all_213_2 & % 17.74/3.27 | $i(all_213_0) & $i(all_213_1) & $i(all_213_2) % 17.74/3.27 | % 17.74/3.27 | ALPHA: (165) implies: % 17.74/3.28 | (166) op1(all_25_0, all_15_0) = all_213_2 % 17.74/3.28 | (167) h(all_213_2) = all_213_1 % 17.74/3.28 | % 17.74/3.28 | DELTA: instantiating (159) with fresh symbols all_217_0, all_217_1, all_217_2 % 17.74/3.28 | gives: % 17.74/3.28 | (168) j(all_217_2) = all_217_1 & j(all_7_0) = all_217_0 & op2(all_7_0, % 17.74/3.28 | all_7_0) = all_217_2 & op1(all_178_0, all_217_0) = all_217_1 & % 17.74/3.28 | $i(all_217_0) & $i(all_217_1) & $i(all_217_2) % 17.74/3.28 | % 17.74/3.28 | ALPHA: (168) implies: % 17.74/3.28 | (169) j(all_7_0) = all_217_0 % 17.74/3.28 | % 17.74/3.28 | DELTA: instantiating (162) with fresh symbols all_239_0, all_239_1, all_239_2 % 17.74/3.28 | gives: % 17.74/3.28 | (170) h(all_239_2) = all_239_1 & h(all_25_0) = all_239_0 & op2(all_184_0, % 17.74/3.28 | all_239_0) = all_239_1 & op1(all_15_0, all_25_0) = all_239_2 & % 17.74/3.28 | $i(all_239_0) & $i(all_239_1) & $i(all_239_2) % 17.74/3.28 | % 17.74/3.28 | ALPHA: (170) implies: % 17.74/3.28 | (171) op1(all_15_0, all_25_0) = all_239_2 % 17.74/3.28 | (172) h(all_239_2) = all_239_1 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_39_1, all_145_0, all_25_0, all_15_0, % 17.74/3.28 | simplifying with (114), (147) gives: % 17.74/3.28 | (173) all_145_0 = all_39_1 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_145_0, all_239_2, all_25_0, all_15_0, % 17.74/3.28 | simplifying with (147), (171) gives: % 17.74/3.28 | (174) all_239_2 = all_145_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_143_0, all_239_2, all_25_0, all_15_0, % 17.74/3.28 | simplifying with (145), (171) gives: % 17.74/3.28 | (175) all_239_2 = all_143_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_137_0, all_239_2, all_25_0, all_15_0, % 17.74/3.28 | simplifying with (142), (171) gives: % 17.74/3.28 | (176) all_239_2 = all_137_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_41_1, all_135_0, all_15_0, all_25_0, % 17.74/3.28 | simplifying with (113), (140) gives: % 17.74/3.28 | (177) all_135_0 = all_41_1 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_135_0, all_137_0, all_15_0, all_25_0, % 17.74/3.28 | simplifying with (140), (143) gives: % 17.74/3.28 | (178) all_137_0 = all_135_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (13) with all_39_1, all_213_2, all_15_0, all_25_0, % 17.74/3.28 | simplifying with (133), (166) gives: % 17.74/3.28 | (179) all_213_2 = all_39_1 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (12) with all_39_1, all_217_0, all_7_0, simplifying % 17.74/3.28 | with (111), (169) gives: % 17.74/3.28 | (180) all_217_0 = all_39_1 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (12) with all_201_0, all_217_0, all_7_0, % 17.74/3.28 | simplifying with (164), (169) gives: % 17.74/3.28 | (181) all_217_0 = all_201_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (12) with all_178_0, all_217_0, all_7_0, % 17.74/3.28 | simplifying with (157), (169) gives: % 17.74/3.28 | (182) all_217_0 = all_178_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (12) with all_167_0, all_217_0, all_7_0, % 17.74/3.28 | simplifying with (149), (169) gives: % 17.74/3.28 | (183) all_217_0 = all_167_0 % 17.74/3.28 | % 17.74/3.28 | GROUND_INST: instantiating (12) with all_125_0, all_217_0, all_7_0, % 17.74/3.28 | simplifying with (138), (169) gives: % 17.74/3.28 | (184) all_217_0 = all_125_0 % 17.74/3.28 | % 17.74/3.28 | COMBINE_EQS: (174), (175) imply: % 17.74/3.28 | (185) all_145_0 = all_143_0 % 17.74/3.28 | % 17.74/3.28 | SIMP: (185) implies: % 17.74/3.29 | (186) all_145_0 = all_143_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (175), (176) imply: % 17.74/3.29 | (187) all_143_0 = all_137_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (181), (184) imply: % 17.74/3.29 | (188) all_201_0 = all_125_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (181), (183) imply: % 17.74/3.29 | (189) all_201_0 = all_167_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (181), (182) imply: % 17.74/3.29 | (190) all_201_0 = all_178_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (180), (181) imply: % 17.74/3.29 | (191) all_201_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (188), (190) imply: % 17.74/3.29 | (192) all_178_0 = all_125_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (190), (191) imply: % 17.74/3.29 | (193) all_178_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (189), (190) imply: % 17.74/3.29 | (194) all_178_0 = all_167_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (192), (194) imply: % 17.74/3.29 | (195) all_167_0 = all_125_0 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (193), (194) imply: % 17.74/3.29 | (196) all_167_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (195), (196) imply: % 17.74/3.29 | (197) all_125_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (173), (186) imply: % 17.74/3.29 | (198) all_143_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | SIMP: (198) implies: % 17.74/3.29 | (199) all_143_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (187), (199) imply: % 17.74/3.29 | (200) all_137_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (178), (200) imply: % 17.74/3.29 | (201) all_135_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | SIMP: (201) implies: % 17.74/3.29 | (202) all_135_0 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (177), (202) imply: % 17.74/3.29 | (203) all_41_1 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | SIMP: (203) implies: % 17.74/3.29 | (204) all_41_1 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (175), (199) imply: % 17.74/3.29 | (205) all_239_2 = all_39_1 % 17.74/3.29 | % 17.74/3.29 | REDUCE: (172), (205) imply: % 17.74/3.29 | (206) h(all_39_1) = all_239_1 % 17.74/3.29 | % 17.74/3.29 | REDUCE: (167), (179) imply: % 17.74/3.29 | (207) h(all_39_1) = all_213_1 % 17.74/3.29 | % 17.74/3.29 | REDUCE: (137), (197) imply: % 17.74/3.29 | (208) h(all_39_1) = all_7_0 % 17.74/3.29 | % 17.74/3.29 | REDUCE: (135), (204) imply: % 17.74/3.29 | (209) h(all_39_1) = all_7_1 % 17.74/3.29 | % 17.74/3.29 | GROUND_INST: instantiating (11) with all_7_0, all_213_1, all_39_1, simplifying % 17.74/3.29 | with (207), (208) gives: % 17.74/3.29 | (210) all_213_1 = all_7_0 % 17.74/3.29 | % 17.74/3.29 | GROUND_INST: instantiating (11) with all_213_1, all_239_1, all_39_1, % 17.74/3.29 | simplifying with (206), (207) gives: % 17.74/3.29 | (211) all_239_1 = all_213_1 % 17.74/3.29 | % 17.74/3.29 | GROUND_INST: instantiating (11) with all_7_1, all_239_1, all_39_1, simplifying % 17.74/3.29 | with (206), (209) gives: % 17.74/3.29 | (212) all_239_1 = all_7_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (211), (212) imply: % 17.74/3.29 | (213) all_213_1 = all_7_1 % 17.74/3.29 | % 17.74/3.29 | SIMP: (213) implies: % 17.74/3.29 | (214) all_213_1 = all_7_1 % 17.74/3.29 | % 17.74/3.29 | COMBINE_EQS: (210), (214) imply: % 17.74/3.29 | (215) all_7_0 = all_7_1 % 17.74/3.29 | % 17.74/3.29 | REDUCE: (16), (215) imply: % 17.74/3.29 | (216) $false % 17.74/3.30 | % 17.74/3.30 | CLOSE: (216) is inconsistent. % 17.74/3.30 | % 17.74/3.30 End of proof % 17.74/3.30 % SZS output end Proof for theBenchmark % 17.74/3.30 % 17.74/3.30 2690ms %------------------------------------------------------------------------------