%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n011.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8046.5625MB % OS : Linux 6.8.0-71-generic % CPULimit : 300s % WCLimit : 300s % DateTime : Mon Sep 7 12:55:05 PM UTC 2026 % Result : Theorem 11.68s 2.33s % Output : Proof 17.51s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.02 % Problem : LCL897+1 : TPTP v9.3.1. Released v5.5.0. % 0.00/0.04 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.10/0.36 % Computer : n011.cluster.edu % 0.10/0.36 % Model : x86_64 x86_64 % 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.10/0.36 % Memory : 8046.5625MB % 0.10/0.36 % OS : Linux 6.8.0-71-generic % 0.10/0.36 % CPULimit : 300 % 0.10/0.36 % WCLimit : 300 % 0.10/0.36 % DateTime : Sat Sep 5 15:08:14 UTC 2026 % 0.10/0.36 % CPUTime : % 0.10/0.38 OpenJDK 64-Bit Server VM warning: Options -Xverify:none and -noverify were deprecated in JDK 13 and will likely be removed in a future release. % 0.68/0.73 ________ _____ % 0.68/0.73 ___ __ \_________(_)________________________________ % 0.68/0.73 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.68/0.73 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.68/0.73 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.68/0.73 % 0.68/0.73 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.68/0.73 (2023-06-19) % 0.68/0.73 % 0.68/0.73 (c) Philipp Rümmer, 2009-2023 % 0.68/0.73 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.68/0.73 Amanda Stjerna. % 0.68/0.73 Free software under BSD-3-Clause. % 0.68/0.73 % 0.68/0.73 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.68/0.73 % 0.68/0.73 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.68/0.75 Running up to 7 provers in parallel. % 0.68/0.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.68/0.76 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.68/0.76 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.68/0.76 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.68/0.76 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.68/0.76 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.68/0.76 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 1.99/1.10 Prover 4: Preprocessing ... % 1.99/1.10 Prover 1: Preprocessing ... % 2.76/1.15 Prover 3: Preprocessing ... % 2.76/1.15 Prover 6: Preprocessing ... % 2.76/1.15 Prover 0: Preprocessing ... % 2.76/1.15 Prover 5: Preprocessing ... % 2.76/1.15 Prover 2: Preprocessing ... % 3.93/1.33 Prover 6: Constructing countermodel ... % 3.93/1.37 Prover 3: Constructing countermodel ... % 4.65/1.41 Prover 5: Proving ... % 4.65/1.43 Prover 0: Proving ... % 4.65/1.43 Prover 1: Constructing countermodel ... % 4.65/1.44 Prover 4: Constructing countermodel ... % 5.43/1.50 Prover 2: Proving ... % 9.89/2.08 Prover 3: gave up % 9.89/2.08 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 9.89/2.14 Prover 7: Preprocessing ... % 10.69/2.19 Prover 1: gave up % 10.69/2.19 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 10.86/2.22 Prover 8: Preprocessing ... % 11.68/2.30 Prover 8: Warning: ignoring some quantifiers % 11.68/2.30 Prover 8: Constructing countermodel ... % 11.68/2.32 Prover 0: proved (1561ms) % 11.68/2.32 % 11.68/2.33 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 11.68/2.33 % 11.68/2.33 Prover 7: Constructing countermodel ... % 11.68/2.34 Prover 6: stopped % 11.68/2.34 Prover 2: stopped % 11.68/2.34 Prover 5: stopped % 11.68/2.35 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 11.68/2.35 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 11.68/2.35 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 11.68/2.36 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 12.44/2.41 Prover 11: Preprocessing ... % 12.44/2.41 Prover 13: Preprocessing ... % 12.44/2.41 Prover 10: Preprocessing ... % 12.44/2.42 Prover 16: Preprocessing ... % 12.44/2.49 Prover 16: Warning: ignoring some quantifiers % 12.44/2.49 Prover 16: Constructing countermodel ... % 13.22/2.50 Prover 11: Constructing countermodel ... % 13.22/2.50 Prover 13: Warning: ignoring some quantifiers % 13.22/2.51 Prover 13: Constructing countermodel ... % 13.22/2.52 Prover 10: Constructing countermodel ... % 14.82/2.78 Prover 8: gave up % 14.82/2.79 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 14.82/2.80 Prover 4: Found proof (size 132) % 14.82/2.80 Prover 4: proved (2036ms) % 15.60/2.80 Prover 10: stopped % 15.60/2.80 Prover 16: stopped % 15.60/2.80 Prover 13: stopped % 15.60/2.80 Prover 11: stopped % 15.60/2.80 Prover 7: stopped % 15.60/2.81 Prover 19: Preprocessing ... % 15.60/2.86 Prover 19: Warning: ignoring some quantifiers % 15.60/2.87 Prover 19: Constructing countermodel ... % 15.60/2.87 Prover 19: stopped % 15.60/2.87 % 15.60/2.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.60/2.87 % 16.12/2.95 % SZS output start Proof for theBenchmark % 16.12/2.96 Assumptions after simplification: % 16.12/2.96 --------------------------------- % 16.12/2.96 % 16.12/2.96 (goals_09) % 16.12/3.02 $i(c) & $i(b) & $i(a) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] % 16.12/3.02 : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v3) & % 16.12/3.02 ==>(v1, c) = v2 & ==>(b, c) = v4 & ==>(a, v5) = v6 & ==>(a, b) = v0 & +(v1, % 16.12/3.02 v2) = v3 & +(b, v4) = v5 & +(a, v6) = v7 & +(a, v0) = v1 & $i(v7) & $i(v6) % 16.12/3.02 & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 16.12/3.02 % 16.12/3.02 (sos_01) % 16.12/3.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 16.12/3.03 (+(v3, v2) = v4) | ~ (+(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 16.12/3.03 ? [v5: $i] : (+(v1, v2) = v5 & +(v0, v5) = v4 & $i(v5) & $i(v4))) & ! [v0: % 16.12/3.03 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ (+(v1, v2) % 16.12/3.03 = v3) | ~ (+(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: % 16.12/3.03 $i] : (+(v5, v2) = v4 & +(v0, v1) = v5 & $i(v5) & $i(v4))) % 16.12/3.03 % 16.12/3.03 (sos_02) % 16.12/3.03 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (+(v1, v0) = v2) | ~ $i(v1) | % 16.12/3.03 ~ $i(v0) | (+(v0, v1) = v2 & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 16.12/3.03 $i] : ( ~ (+(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | (+(v1, v0) = v2 & % 16.12/3.03 $i(v2))) % 16.12/3.04 % 16.12/3.04 (sos_07) % 16.12/3.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 16.12/3.04 (==>(v3, v2) = v4) | ~ (+(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 16.12/3.04 | ? [v5: $i] : (==>(v1, v2) = v5 & ==>(v0, v5) = v4 & $i(v5) & $i(v4))) & % 16.12/3.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( ~ % 16.12/3.04 (==>(v1, v2) = v3) | ~ (==>(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 16.12/3.04 $i(v0) | ? [v5: $i] : (==>(v5, v2) = v4 & +(v0, v1) = v5 & $i(v5) & % 16.12/3.04 $i(v4))) % 16.12/3.04 % 16.12/3.04 (sos_08) % 16.77/3.04 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (==>(v1, v0) = v2) | ~ $i(v1) | % 16.77/3.04 ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (==>(v0, v1) = v3 & +(v1, v2) = v4 & % 16.77/3.04 +(v0, v3) = v4 & $i(v4) & $i(v3))) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 16.77/3.04 $i] : ( ~ (==>(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: % 16.77/3.04 $i] : (==>(v1, v0) = v4 & +(v1, v4) = v3 & +(v0, v2) = v3 & $i(v4) & % 16.77/3.04 $i(v3))) % 16.77/3.04 % 16.77/3.04 (function-axioms) % 16.77/3.05 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (==>(v3, % 16.77/3.05 v2) = v1) | ~ (==>(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 16.77/3.05 $i] : ! [v3: $i] : (v1 = v0 | ~ (+(v3, v2) = v1) | ~ (+(v3, v2) = v0)) % 16.77/3.05 % 16.77/3.05 Further assumptions not needed in the proof: % 16.77/3.05 -------------------------------------------- % 16.77/3.05 sos_03, sos_04, sos_05, sos_06 % 16.77/3.05 % 16.77/3.05 Those formulas are unsatisfiable: % 16.77/3.05 --------------------------------- % 16.77/3.05 % 16.77/3.05 Begin of proof % 16.77/3.05 | % 16.77/3.05 | ALPHA: (sos_01) implies: % 16.77/3.06 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 16.77/3.06 | ~ (+(v1, v2) = v3) | ~ (+(v0, v3) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 16.77/3.06 | $i(v0) | ? [v5: $i] : (+(v5, v2) = v4 & +(v0, v1) = v5 & $i(v5) & % 16.77/3.06 | $i(v4))) % 16.77/3.06 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 16.77/3.06 | ~ (+(v3, v2) = v4) | ~ (+(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ % 16.77/3.06 | $i(v0) | ? [v5: $i] : (+(v1, v2) = v5 & +(v0, v5) = v4 & $i(v5) & % 16.77/3.06 | $i(v4))) % 16.77/3.06 | % 16.77/3.06 | ALPHA: (sos_02) implies: % 16.77/3.06 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (+(v1, v0) = v2) | ~ % 16.77/3.06 | $i(v1) | ~ $i(v0) | (+(v0, v1) = v2 & $i(v2))) % 16.77/3.06 | % 16.77/3.06 | ALPHA: (sos_07) implies: % 16.77/3.06 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ( % 16.77/3.06 | ~ (==>(v3, v2) = v4) | ~ (+(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) | % 16.77/3.06 | ~ $i(v0) | ? [v5: $i] : (==>(v1, v2) = v5 & ==>(v0, v5) = v4 & % 16.77/3.06 | $i(v5) & $i(v4))) % 16.77/3.06 | % 16.77/3.06 | ALPHA: (sos_08) implies: % 16.77/3.07 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (==>(v0, v1) = v2) | ~ % 16.77/3.07 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (==>(v1, v0) = v4 & % 16.77/3.07 | +(v1, v4) = v3 & +(v0, v2) = v3 & $i(v4) & $i(v3))) % 16.77/3.07 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (==>(v1, v0) = v2) | ~ % 16.77/3.07 | $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (==>(v0, v1) = v3 & % 16.77/3.07 | +(v1, v2) = v4 & +(v0, v3) = v4 & $i(v4) & $i(v3))) % 16.77/3.07 | % 16.77/3.07 | ALPHA: (goals_09) implies: % 16.77/3.07 | (7) $i(a) % 16.77/3.07 | (8) $i(b) % 16.77/3.07 | (9) $i(c) % 16.77/3.07 | (10) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 16.77/3.07 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ( ~ (v7 = v3) & ==>(v1, c) = % 16.77/3.07 | v2 & ==>(b, c) = v4 & ==>(a, v5) = v6 & ==>(a, b) = v0 & +(v1, v2) = % 16.77/3.07 | v3 & +(b, v4) = v5 & +(a, v6) = v7 & +(a, v0) = v1 & $i(v7) & $i(v6) % 16.77/3.07 | & $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 16.77/3.07 | % 16.77/3.07 | ALPHA: (function-axioms) implies: % 16.77/3.07 | (11) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 16.77/3.07 | (+(v3, v2) = v1) | ~ (+(v3, v2) = v0)) % 16.77/3.08 | (12) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 16.77/3.08 | (==>(v3, v2) = v1) | ~ (==>(v3, v2) = v0)) % 16.77/3.08 | % 16.77/3.08 | DELTA: instantiating (10) with fresh symbols all_12_0, all_12_1, all_12_2, % 16.77/3.08 | all_12_3, all_12_4, all_12_5, all_12_6, all_12_7 gives: % 16.77/3.08 | (13) ~ (all_12_0 = all_12_4) & ==>(all_12_6, c) = all_12_5 & ==>(b, c) = % 16.77/3.08 | all_12_3 & ==>(a, all_12_2) = all_12_1 & ==>(a, b) = all_12_7 & % 16.77/3.08 | +(all_12_6, all_12_5) = all_12_4 & +(b, all_12_3) = all_12_2 & +(a, % 16.77/3.08 | all_12_1) = all_12_0 & +(a, all_12_7) = all_12_6 & $i(all_12_0) & % 16.77/3.08 | $i(all_12_1) & $i(all_12_2) & $i(all_12_3) & $i(all_12_4) & % 16.77/3.08 | $i(all_12_5) & $i(all_12_6) & $i(all_12_7) % 16.77/3.08 | % 16.77/3.08 | ALPHA: (13) implies: % 16.77/3.08 | (14) ~ (all_12_0 = all_12_4) % 16.77/3.08 | (15) $i(all_12_7) % 16.77/3.08 | (16) $i(all_12_5) % 16.77/3.08 | (17) $i(all_12_3) % 16.77/3.08 | (18) +(a, all_12_7) = all_12_6 % 16.77/3.08 | (19) +(a, all_12_1) = all_12_0 % 16.77/3.08 | (20) +(b, all_12_3) = all_12_2 % 16.77/3.08 | (21) +(all_12_6, all_12_5) = all_12_4 % 16.77/3.08 | (22) ==>(a, b) = all_12_7 % 16.77/3.08 | (23) ==>(a, all_12_2) = all_12_1 % 16.77/3.09 | (24) ==>(b, c) = all_12_3 % 16.77/3.09 | (25) ==>(all_12_6, c) = all_12_5 % 16.77/3.09 | % 16.77/3.09 | GROUND_INST: instantiating (3) with all_12_7, a, all_12_6, simplifying with % 16.77/3.09 | (7), (15), (18) gives: % 16.77/3.09 | (26) +(all_12_7, a) = all_12_6 & $i(all_12_6) % 16.77/3.09 | % 16.77/3.09 | ALPHA: (26) implies: % 16.77/3.09 | (27) $i(all_12_6) % 16.77/3.09 | % 16.77/3.09 | GROUND_INST: instantiating (3) with all_12_3, b, all_12_2, simplifying with % 16.77/3.09 | (8), (17), (20) gives: % 16.77/3.09 | (28) +(all_12_3, b) = all_12_2 & $i(all_12_2) % 16.77/3.09 | % 16.77/3.09 | ALPHA: (28) implies: % 16.77/3.09 | (29) $i(all_12_2) % 16.77/3.09 | (30) +(all_12_3, b) = all_12_2 % 16.77/3.09 | % 16.77/3.09 | GROUND_INST: instantiating (3) with all_12_5, all_12_6, all_12_4, simplifying % 16.77/3.09 | with (16), (21), (27) gives: % 16.77/3.09 | (31) +(all_12_5, all_12_6) = all_12_4 & $i(all_12_4) % 16.77/3.09 | % 16.77/3.09 | ALPHA: (31) implies: % 16.77/3.09 | (32) +(all_12_5, all_12_6) = all_12_4 % 16.77/3.09 | % 16.77/3.09 | GROUND_INST: instantiating (6) with b, a, all_12_7, simplifying with (7), (8), % 16.77/3.09 | (22) gives: % 16.77/3.10 | (33) ? [v0: $i] : ? [v1: $i] : (==>(b, a) = v0 & +(b, v0) = v1 & +(a, % 16.77/3.10 | all_12_7) = v1 & $i(v1) & $i(v0)) % 16.77/3.10 | % 16.77/3.10 | GROUND_INST: instantiating (5) with a, b, all_12_7, simplifying with (7), (8), % 16.77/3.10 | (22) gives: % 16.77/3.10 | (34) ? [v0: $i] : ? [v1: $i] : (==>(b, a) = v1 & +(b, v1) = v0 & +(a, % 16.77/3.10 | all_12_7) = v0 & $i(v1) & $i(v0)) % 16.77/3.10 | % 16.77/3.10 | GROUND_INST: instantiating (6) with all_12_2, a, all_12_1, simplifying with % 16.77/3.10 | (7), (23), (29) gives: % 16.77/3.10 | (35) ? [v0: $i] : ? [v1: $i] : (==>(all_12_2, a) = v0 & +(all_12_2, v0) = % 16.77/3.10 | v1 & +(a, all_12_1) = v1 & $i(v1) & $i(v0)) % 16.77/3.10 | % 16.77/3.10 | GROUND_INST: instantiating (5) with a, all_12_2, all_12_1, simplifying with % 16.77/3.10 | (7), (23), (29) gives: % 16.77/3.10 | (36) ? [v0: $i] : ? [v1: $i] : (==>(all_12_2, a) = v1 & +(all_12_2, v1) = % 16.77/3.10 | v0 & +(a, all_12_1) = v0 & $i(v1) & $i(v0)) % 16.77/3.10 | % 16.77/3.10 | GROUND_INST: instantiating (6) with c, b, all_12_3, simplifying with (8), (9), % 16.77/3.10 | (24) gives: % 16.77/3.11 | (37) ? [v0: $i] : ? [v1: $i] : (==>(c, b) = v0 & +(c, v0) = v1 & +(b, % 16.77/3.11 | all_12_3) = v1 & $i(v1) & $i(v0)) % 16.77/3.11 | % 16.77/3.11 | GROUND_INST: instantiating (5) with b, c, all_12_3, simplifying with (8), (9), % 16.77/3.11 | (24) gives: % 16.77/3.11 | (38) ? [v0: $i] : ? [v1: $i] : (==>(c, b) = v1 & +(c, v1) = v0 & +(b, % 16.77/3.11 | all_12_3) = v0 & $i(v1) & $i(v0)) % 16.77/3.11 | % 16.77/3.11 | GROUND_INST: instantiating (4) with a, all_12_7, c, all_12_6, all_12_5, % 16.77/3.11 | simplifying with (7), (9), (15), (18), (25) gives: % 16.77/3.11 | (39) ? [v0: $i] : (==>(all_12_7, c) = v0 & ==>(a, v0) = all_12_5 & $i(v0) % 16.77/3.11 | & $i(all_12_5)) % 16.77/3.11 | % 16.77/3.11 | GROUND_INST: instantiating (6) with c, all_12_6, all_12_5, simplifying with % 16.77/3.11 | (9), (25), (27) gives: % 16.77/3.11 | (40) ? [v0: $i] : ? [v1: $i] : (==>(c, all_12_6) = v0 & +(all_12_6, % 16.77/3.11 | all_12_5) = v1 & +(c, v0) = v1 & $i(v1) & $i(v0)) % 16.77/3.11 | % 16.77/3.11 | GROUND_INST: instantiating (5) with all_12_6, c, all_12_5, simplifying with % 16.77/3.11 | (9), (25), (27) gives: % 16.77/3.11 | (41) ? [v0: $i] : ? [v1: $i] : (==>(c, all_12_6) = v1 & +(all_12_6, % 16.77/3.11 | all_12_5) = v0 & +(c, v1) = v0 & $i(v1) & $i(v0)) % 16.77/3.11 | % 16.77/3.11 | DELTA: instantiating (39) with fresh symbol all_20_0 gives: % 16.77/3.12 | (42) ==>(all_12_7, c) = all_20_0 & ==>(a, all_20_0) = all_12_5 & % 16.77/3.12 | $i(all_20_0) & $i(all_12_5) % 16.77/3.12 | % 16.77/3.12 | DELTA: instantiating (37) with fresh symbols all_24_0, all_24_1 gives: % 16.77/3.12 | (43) ==>(c, b) = all_24_1 & +(c, all_24_1) = all_24_0 & +(b, all_12_3) = % 16.77/3.12 | all_24_0 & $i(all_24_0) & $i(all_24_1) % 16.77/3.12 | % 16.77/3.12 | ALPHA: (43) implies: % 16.77/3.12 | (44) +(b, all_12_3) = all_24_0 % 16.77/3.12 | (45) +(c, all_24_1) = all_24_0 % 16.77/3.12 | (46) ==>(c, b) = all_24_1 % 16.77/3.12 | % 16.77/3.12 | DELTA: instantiating (36) with fresh symbols all_26_0, all_26_1 gives: % 16.77/3.12 | (47) ==>(all_12_2, a) = all_26_0 & +(all_12_2, all_26_0) = all_26_1 & +(a, % 16.77/3.12 | all_12_1) = all_26_1 & $i(all_26_0) & $i(all_26_1) % 16.77/3.12 | % 16.77/3.12 | ALPHA: (47) implies: % 16.77/3.12 | (48) +(a, all_12_1) = all_26_1 % 16.77/3.12 | (49) +(all_12_2, all_26_0) = all_26_1 % 16.77/3.12 | (50) ==>(all_12_2, a) = all_26_0 % 16.77/3.12 | % 16.77/3.12 | DELTA: instantiating (35) with fresh symbols all_28_0, all_28_1 gives: % 16.77/3.12 | (51) ==>(all_12_2, a) = all_28_1 & +(all_12_2, all_28_1) = all_28_0 & +(a, % 16.77/3.12 | all_12_1) = all_28_0 & $i(all_28_0) & $i(all_28_1) % 16.77/3.12 | % 16.77/3.12 | ALPHA: (51) implies: % 16.77/3.12 | (52) $i(all_28_1) % 16.77/3.12 | (53) +(a, all_12_1) = all_28_0 % 16.77/3.12 | (54) ==>(all_12_2, a) = all_28_1 % 16.77/3.12 | % 16.77/3.12 | DELTA: instantiating (33) with fresh symbols all_30_0, all_30_1 gives: % 16.77/3.12 | (55) ==>(b, a) = all_30_1 & +(b, all_30_1) = all_30_0 & +(a, all_12_7) = % 16.77/3.12 | all_30_0 & $i(all_30_0) & $i(all_30_1) % 16.77/3.12 | % 16.77/3.12 | ALPHA: (55) implies: % 16.77/3.13 | (56) +(a, all_12_7) = all_30_0 % 16.77/3.13 | (57) +(b, all_30_1) = all_30_0 % 16.77/3.13 | (58) ==>(b, a) = all_30_1 % 16.77/3.13 | % 16.77/3.13 | DELTA: instantiating (41) with fresh symbols all_32_0, all_32_1 gives: % 16.77/3.13 | (59) ==>(c, all_12_6) = all_32_0 & +(all_12_6, all_12_5) = all_32_1 & +(c, % 16.77/3.13 | all_32_0) = all_32_1 & $i(all_32_0) & $i(all_32_1) % 16.77/3.13 | % 16.77/3.13 | ALPHA: (59) implies: % 16.77/3.13 | (60) +(all_12_6, all_12_5) = all_32_1 % 16.77/3.13 | % 16.77/3.13 | DELTA: instantiating (40) with fresh symbols all_34_0, all_34_1 gives: % 16.77/3.13 | (61) ==>(c, all_12_6) = all_34_1 & +(all_12_6, all_12_5) = all_34_0 & +(c, % 16.77/3.13 | all_34_1) = all_34_0 & $i(all_34_0) & $i(all_34_1) % 16.77/3.13 | % 16.77/3.13 | ALPHA: (61) implies: % 16.77/3.13 | (62) +(all_12_6, all_12_5) = all_34_0 % 16.77/3.13 | % 16.77/3.13 | DELTA: instantiating (38) with fresh symbols all_36_0, all_36_1 gives: % 16.77/3.13 | (63) ==>(c, b) = all_36_0 & +(c, all_36_0) = all_36_1 & +(b, all_12_3) = % 16.77/3.13 | all_36_1 & $i(all_36_0) & $i(all_36_1) % 16.77/3.13 | % 16.77/3.13 | ALPHA: (63) implies: % 16.77/3.13 | (64) $i(all_36_0) % 16.77/3.13 | (65) +(b, all_12_3) = all_36_1 % 16.77/3.13 | (66) ==>(c, b) = all_36_0 % 16.77/3.13 | % 16.77/3.13 | DELTA: instantiating (34) with fresh symbols all_38_0, all_38_1 gives: % 16.77/3.13 | (67) ==>(b, a) = all_38_0 & +(b, all_38_0) = all_38_1 & +(a, all_12_7) = % 16.77/3.13 | all_38_1 & $i(all_38_0) & $i(all_38_1) % 16.77/3.13 | % 16.77/3.13 | ALPHA: (67) implies: % 16.77/3.13 | (68) $i(all_38_0) % 16.77/3.13 | (69) +(a, all_12_7) = all_38_1 % 16.77/3.13 | (70) ==>(b, a) = all_38_0 % 16.77/3.13 | % 16.77/3.13 | GROUND_INST: instantiating (11) with all_12_6, all_38_1, all_12_7, a, % 16.77/3.13 | simplifying with (18), (69) gives: % 16.77/3.13 | (71) all_38_1 = all_12_6 % 16.77/3.13 | % 16.77/3.13 | GROUND_INST: instantiating (11) with all_30_0, all_38_1, all_12_7, a, % 16.77/3.13 | simplifying with (56), (69) gives: % 16.77/3.14 | (72) all_38_1 = all_30_0 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_12_0, all_28_0, all_12_1, a, % 16.77/3.14 | simplifying with (19), (53) gives: % 16.77/3.14 | (73) all_28_0 = all_12_0 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_26_1, all_28_0, all_12_1, a, % 16.77/3.14 | simplifying with (48), (53) gives: % 16.77/3.14 | (74) all_28_0 = all_26_1 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_12_2, all_36_1, all_12_3, b, % 16.77/3.14 | simplifying with (20), (65) gives: % 16.77/3.14 | (75) all_36_1 = all_12_2 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_24_0, all_36_1, all_12_3, b, % 16.77/3.14 | simplifying with (44), (65) gives: % 16.77/3.14 | (76) all_36_1 = all_24_0 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_12_4, all_34_0, all_12_5, all_12_6, % 16.77/3.14 | simplifying with (21), (62) gives: % 16.77/3.14 | (77) all_34_0 = all_12_4 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (11) with all_32_1, all_34_0, all_12_5, all_12_6, % 16.77/3.14 | simplifying with (60), (62) gives: % 16.77/3.14 | (78) all_34_0 = all_32_1 % 16.77/3.14 | % 16.77/3.14 | GROUND_INST: instantiating (12) with all_30_1, all_38_0, a, b, simplifying % 16.77/3.14 | with (58), (70) gives: % 16.77/3.14 | (79) all_38_0 = all_30_1 % 16.77/3.14 | % 17.27/3.14 | GROUND_INST: instantiating (12) with all_24_1, all_36_0, b, c, simplifying % 17.27/3.14 | with (46), (66) gives: % 17.27/3.14 | (80) all_36_0 = all_24_1 % 17.27/3.14 | % 17.27/3.14 | GROUND_INST: instantiating (12) with all_26_0, all_28_1, a, all_12_2, % 17.27/3.14 | simplifying with (50), (54) gives: % 17.27/3.14 | (81) all_28_1 = all_26_0 % 17.27/3.14 | % 17.27/3.14 | COMBINE_EQS: (71), (72) imply: % 17.27/3.14 | (82) all_30_0 = all_12_6 % 17.27/3.14 | % 17.27/3.14 | COMBINE_EQS: (75), (76) imply: % 17.27/3.14 | (83) all_24_0 = all_12_2 % 17.27/3.14 | % 17.27/3.14 | SIMP: (83) implies: % 17.27/3.14 | (84) all_24_0 = all_12_2 % 17.27/3.14 | % 17.27/3.14 | COMBINE_EQS: (77), (78) imply: % 17.27/3.14 | (85) all_32_1 = all_12_4 % 17.27/3.14 | % 17.27/3.14 | SIMP: (85) implies: % 17.27/3.14 | (86) all_32_1 = all_12_4 % 17.27/3.14 | % 17.27/3.14 | COMBINE_EQS: (73), (74) imply: % 17.27/3.14 | (87) all_26_1 = all_12_0 % 17.27/3.14 | % 17.27/3.14 | SIMP: (87) implies: % 17.27/3.15 | (88) all_26_1 = all_12_0 % 17.27/3.15 | % 17.27/3.15 | REDUCE: (49), (88) imply: % 17.27/3.15 | (89) +(all_12_2, all_26_0) = all_12_0 % 17.27/3.15 | % 17.27/3.15 | REDUCE: (45), (84) imply: % 17.27/3.15 | (90) +(c, all_24_1) = all_12_2 % 17.27/3.15 | % 17.27/3.15 | REDUCE: (57), (82) imply: % 17.27/3.15 | (91) +(b, all_30_1) = all_12_6 % 17.27/3.15 | % 17.27/3.15 | REDUCE: (68), (79) imply: % 17.27/3.15 | (92) $i(all_30_1) % 17.27/3.15 | % 17.27/3.15 | REDUCE: (64), (80) imply: % 17.27/3.15 | (93) $i(all_24_1) % 17.27/3.15 | % 17.27/3.15 | REDUCE: (52), (81) imply: % 17.27/3.15 | (94) $i(all_26_0) % 17.27/3.15 | % 17.27/3.15 | GROUND_INST: instantiating (4) with b, all_30_1, c, all_12_6, all_12_5, % 17.27/3.15 | simplifying with (8), (9), (25), (91), (92) gives: % 17.27/3.15 | (95) ? [v0: $i] : (==>(all_30_1, c) = v0 & ==>(b, v0) = all_12_5 & $i(v0) % 17.27/3.15 | & $i(all_12_5)) % 17.27/3.15 | % 17.27/3.15 | GROUND_INST: instantiating (2) with b, all_30_1, all_12_5, all_12_6, all_12_4, % 17.27/3.15 | simplifying with (8), (16), (21), (91), (92) gives: % 17.27/3.15 | (96) ? [v0: $i] : (+(all_30_1, all_12_5) = v0 & +(b, v0) = all_12_4 & % 17.27/3.15 | $i(v0) & $i(all_12_4)) % 17.27/3.15 | % 17.27/3.15 | GROUND_INST: instantiating (3) with all_30_1, b, all_12_6, simplifying with % 17.27/3.15 | (8), (91), (92) gives: % 17.27/3.15 | (97) +(all_30_1, b) = all_12_6 & $i(all_12_6) % 17.27/3.15 | % 17.27/3.15 | ALPHA: (97) implies: % 17.27/3.15 | (98) +(all_30_1, b) = all_12_6 % 17.27/3.15 | % 17.27/3.15 | GROUND_INST: instantiating (3) with all_24_1, c, all_12_2, simplifying with % 17.27/3.15 | (9), (90), (93) gives: % 17.27/3.15 | (99) +(all_24_1, c) = all_12_2 & $i(all_12_2) % 17.27/3.15 | % 17.27/3.16 | GROUND_INST: instantiating (2) with b, all_12_3, all_26_0, all_12_2, all_12_0, % 17.27/3.16 | simplifying with (8), (17), (20), (89), (94) gives: % 17.27/3.16 | (100) ? [v0: $i] : (+(all_12_3, all_26_0) = v0 & +(b, v0) = all_12_0 & % 17.27/3.16 | $i(v0) & $i(all_12_0)) % 17.27/3.16 | % 17.27/3.16 | GROUND_INST: instantiating (3) with all_26_0, all_12_2, all_12_0, simplifying % 17.27/3.16 | with (29), (89), (94) gives: % 17.27/3.16 | (101) +(all_26_0, all_12_2) = all_12_0 & $i(all_12_0) % 17.27/3.16 | % 17.27/3.16 | ALPHA: (101) implies: % 17.27/3.16 | (102) +(all_26_0, all_12_2) = all_12_0 % 17.27/3.16 | % 17.27/3.16 | GROUND_INST: instantiating (4) with b, all_12_3, a, all_12_2, all_26_0, % 17.27/3.16 | simplifying with (7), (8), (17), (20), (50) gives: % 17.27/3.16 | (103) ? [v0: $i] : (==>(all_12_3, a) = v0 & ==>(b, v0) = all_26_0 & $i(v0) % 17.27/3.16 | & $i(all_26_0)) % 17.27/3.16 | % 17.27/3.16 | GROUND_INST: instantiating (4) with all_12_3, b, a, all_12_2, all_26_0, % 17.27/3.16 | simplifying with (7), (8), (17), (30), (50) gives: % 17.27/3.16 | (104) ? [v0: $i] : (==>(all_12_3, v0) = all_26_0 & ==>(b, a) = v0 & $i(v0) % 17.27/3.16 | & $i(all_26_0)) % 17.27/3.16 | % 17.27/3.16 | DELTA: instantiating (100) with fresh symbol all_52_0 gives: % 17.27/3.16 | (105) +(all_12_3, all_26_0) = all_52_0 & +(b, all_52_0) = all_12_0 & % 17.27/3.16 | $i(all_52_0) & $i(all_12_0) % 17.27/3.16 | % 17.27/3.16 | ALPHA: (105) implies: % 17.27/3.16 | (106) +(all_12_3, all_26_0) = all_52_0 % 17.27/3.16 | % 17.27/3.16 | DELTA: instantiating (96) with fresh symbol all_56_0 gives: % 17.27/3.16 | (107) +(all_30_1, all_12_5) = all_56_0 & +(b, all_56_0) = all_12_4 & % 17.27/3.16 | $i(all_56_0) & $i(all_12_4) % 17.27/3.16 | % 17.27/3.16 | ALPHA: (107) implies: % 17.27/3.16 | (108) +(all_30_1, all_12_5) = all_56_0 % 17.27/3.16 | % 17.27/3.16 | DELTA: instantiating (95) with fresh symbol all_62_0 gives: % 17.27/3.16 | (109) ==>(all_30_1, c) = all_62_0 & ==>(b, all_62_0) = all_12_5 & % 17.27/3.16 | $i(all_62_0) & $i(all_12_5) % 17.27/3.16 | % 17.27/3.16 | DELTA: instantiating (104) with fresh symbol all_66_0 gives: % 17.27/3.16 | (110) ==>(all_12_3, all_66_0) = all_26_0 & ==>(b, a) = all_66_0 & % 17.27/3.16 | $i(all_66_0) & $i(all_26_0) % 17.27/3.16 | % 17.27/3.16 | ALPHA: (110) implies: % 17.27/3.16 | (111) $i(all_66_0) % 17.27/3.16 | (112) ==>(b, a) = all_66_0 % 17.27/3.17 | (113) ==>(all_12_3, all_66_0) = all_26_0 % 17.27/3.17 | % 17.27/3.17 | DELTA: instantiating (103) with fresh symbol all_68_0 gives: % 17.27/3.17 | (114) ==>(all_12_3, a) = all_68_0 & ==>(b, all_68_0) = all_26_0 & % 17.27/3.17 | $i(all_68_0) & $i(all_26_0) % 17.27/3.17 | % 17.27/3.17 | GROUND_INST: instantiating (12) with all_30_1, all_66_0, a, b, simplifying % 17.27/3.17 | with (58), (112) gives: % 17.27/3.17 | (115) all_66_0 = all_30_1 % 17.27/3.17 | % 17.27/3.17 | REDUCE: (113), (115) imply: % 17.27/3.17 | (116) ==>(all_12_3, all_30_1) = all_26_0 % 17.27/3.17 | % 17.27/3.17 | GROUND_INST: instantiating (3) with all_26_0, all_12_3, all_52_0, simplifying % 17.27/3.17 | with (17), (94), (106) gives: % 17.27/3.17 | (117) +(all_26_0, all_12_3) = all_52_0 & $i(all_52_0) % 17.27/3.17 | % 17.27/3.17 | ALPHA: (117) implies: % 17.27/3.17 | (118) +(all_26_0, all_12_3) = all_52_0 % 17.27/3.17 | % 17.27/3.17 | GROUND_INST: instantiating (1) with all_26_0, all_12_3, b, all_12_2, all_12_0, % 17.27/3.17 | simplifying with (8), (17), (30), (94), (102) gives: % 17.27/3.17 | (119) ? [v0: $i] : (+(v0, b) = all_12_0 & +(all_26_0, all_12_3) = v0 & % 17.27/3.17 | $i(v0) & $i(all_12_0)) % 17.27/3.17 | % 17.27/3.17 | GROUND_INST: instantiating (4) with all_30_1, b, c, all_12_6, all_12_5, % 17.27/3.17 | simplifying with (8), (9), (25), (92), (98) gives: % 17.27/3.17 | (120) ? [v0: $i] : (==>(all_30_1, v0) = all_12_5 & ==>(b, c) = v0 & $i(v0) % 17.27/3.17 | & $i(all_12_5)) % 17.27/3.17 | % 17.27/3.17 | GROUND_INST: instantiating (1) with all_12_5, all_30_1, b, all_12_6, all_12_4, % 17.27/3.17 | simplifying with (8), (16), (32), (92), (98) gives: % 17.27/3.17 | (121) ? [v0: $i] : (+(v0, b) = all_12_4 & +(all_12_5, all_30_1) = v0 & % 17.27/3.17 | $i(v0) & $i(all_12_4)) % 17.27/3.17 | % 17.27/3.18 | GROUND_INST: instantiating (3) with all_12_5, all_30_1, all_56_0, simplifying % 17.27/3.18 | with (16), (92), (108) gives: % 17.27/3.18 | (122) +(all_12_5, all_30_1) = all_56_0 & $i(all_56_0) % 17.27/3.18 | % 17.27/3.18 | ALPHA: (122) implies: % 17.27/3.18 | (123) +(all_12_5, all_30_1) = all_56_0 % 17.27/3.18 | % 17.27/3.18 | GROUND_INST: instantiating (6) with all_30_1, all_12_3, all_26_0, simplifying % 17.27/3.18 | with (17), (92), (116) gives: % 17.27/3.18 | (124) ? [v0: $i] : ? [v1: $i] : (==>(all_30_1, all_12_3) = v0 & % 17.27/3.18 | +(all_30_1, v0) = v1 & +(all_12_3, all_26_0) = v1 & $i(v1) & % 17.27/3.18 | $i(v0)) % 17.27/3.18 | % 17.27/3.18 | GROUND_INST: instantiating (5) with all_12_3, all_30_1, all_26_0, simplifying % 17.27/3.18 | with (17), (92), (116) gives: % 17.27/3.18 | (125) ? [v0: $i] : ? [v1: $i] : (==>(all_30_1, all_12_3) = v1 & % 17.27/3.18 | +(all_30_1, v1) = v0 & +(all_12_3, all_26_0) = v0 & $i(v1) & % 17.27/3.18 | $i(v0)) % 17.27/3.18 | % 17.27/3.18 | DELTA: instantiating (120) with fresh symbol all_100_0 gives: % 17.27/3.18 | (126) ==>(all_30_1, all_100_0) = all_12_5 & ==>(b, c) = all_100_0 & % 17.27/3.18 | $i(all_100_0) & $i(all_12_5) % 17.27/3.18 | % 17.27/3.18 | ALPHA: (126) implies: % 17.27/3.18 | (127) ==>(b, c) = all_100_0 % 17.27/3.18 | (128) ==>(all_30_1, all_100_0) = all_12_5 % 17.27/3.18 | % 17.27/3.18 | DELTA: instantiating (121) with fresh symbol all_108_0 gives: % 17.27/3.18 | (129) +(all_108_0, b) = all_12_4 & +(all_12_5, all_30_1) = all_108_0 & % 17.27/3.18 | $i(all_108_0) & $i(all_12_4) % 17.27/3.18 | % 17.27/3.18 | ALPHA: (129) implies: % 17.27/3.18 | (130) +(all_12_5, all_30_1) = all_108_0 % 17.27/3.18 | (131) +(all_108_0, b) = all_12_4 % 17.27/3.18 | % 17.27/3.18 | DELTA: instantiating (119) with fresh symbol all_110_0 gives: % 17.27/3.18 | (132) +(all_110_0, b) = all_12_0 & +(all_26_0, all_12_3) = all_110_0 & % 17.27/3.18 | $i(all_110_0) & $i(all_12_0) % 17.27/3.18 | % 17.27/3.18 | ALPHA: (132) implies: % 17.27/3.18 | (133) +(all_26_0, all_12_3) = all_110_0 % 17.27/3.18 | (134) +(all_110_0, b) = all_12_0 % 17.27/3.18 | % 17.27/3.18 | DELTA: instantiating (125) with fresh symbols all_124_0, all_124_1 gives: % 17.27/3.18 | (135) ==>(all_30_1, all_12_3) = all_124_0 & +(all_30_1, all_124_0) = % 17.27/3.18 | all_124_1 & +(all_12_3, all_26_0) = all_124_1 & $i(all_124_0) & % 17.27/3.18 | $i(all_124_1) % 17.27/3.18 | % 17.27/3.18 | ALPHA: (135) implies: % 17.27/3.18 | (136) +(all_12_3, all_26_0) = all_124_1 % 17.27/3.18 | (137) +(all_30_1, all_124_0) = all_124_1 % 17.27/3.18 | (138) ==>(all_30_1, all_12_3) = all_124_0 % 17.27/3.18 | % 17.27/3.18 | DELTA: instantiating (124) with fresh symbols all_146_0, all_146_1 gives: % 17.27/3.19 | (139) ==>(all_30_1, all_12_3) = all_146_1 & +(all_30_1, all_146_1) = % 17.27/3.19 | all_146_0 & +(all_12_3, all_26_0) = all_146_0 & $i(all_146_0) & % 17.27/3.19 | $i(all_146_1) % 17.27/3.19 | % 17.27/3.19 | ALPHA: (139) implies: % 17.27/3.19 | (140) +(all_12_3, all_26_0) = all_146_0 % 17.27/3.19 | (141) ==>(all_30_1, all_12_3) = all_146_1 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_56_0, all_108_0, all_30_1, all_12_5, % 17.27/3.19 | simplifying with (123), (130) gives: % 17.27/3.19 | (142) all_108_0 = all_56_0 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_52_0, all_146_0, all_26_0, all_12_3, % 17.27/3.19 | simplifying with (106), (140) gives: % 17.27/3.19 | (143) all_146_0 = all_52_0 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_124_1, all_146_0, all_26_0, all_12_3, % 17.27/3.19 | simplifying with (136), (140) gives: % 17.27/3.19 | (144) all_146_0 = all_124_1 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_52_0, all_110_0, all_12_3, all_26_0, % 17.27/3.19 | simplifying with (118), (133) gives: % 17.27/3.19 | (145) all_110_0 = all_52_0 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (12) with all_12_3, all_100_0, c, b, simplifying % 17.27/3.19 | with (24), (127) gives: % 17.27/3.19 | (146) all_100_0 = all_12_3 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (12) with all_124_0, all_146_1, all_12_3, all_30_1, % 17.27/3.19 | simplifying with (138), (141) gives: % 17.27/3.19 | (147) all_146_1 = all_124_0 % 17.27/3.19 | % 17.27/3.19 | COMBINE_EQS: (143), (144) imply: % 17.27/3.19 | (148) all_124_1 = all_52_0 % 17.27/3.19 | % 17.27/3.19 | SIMP: (148) implies: % 17.27/3.19 | (149) all_124_1 = all_52_0 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (128), (146) imply: % 17.27/3.19 | (150) ==>(all_30_1, all_12_3) = all_12_5 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (134), (145) imply: % 17.27/3.19 | (151) +(all_52_0, b) = all_12_0 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (131), (142) imply: % 17.27/3.19 | (152) +(all_56_0, b) = all_12_4 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (137), (149) imply: % 17.27/3.19 | (153) +(all_30_1, all_124_0) = all_52_0 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (12) with all_124_0, all_12_5, all_12_3, all_30_1, % 17.27/3.19 | simplifying with (138), (150) gives: % 17.27/3.19 | (154) all_124_0 = all_12_5 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (153), (154) imply: % 17.27/3.19 | (155) +(all_30_1, all_12_5) = all_52_0 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_56_0, all_52_0, all_12_5, all_30_1, % 17.27/3.19 | simplifying with (108), (155) gives: % 17.27/3.19 | (156) all_56_0 = all_52_0 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (152), (156) imply: % 17.27/3.19 | (157) +(all_52_0, b) = all_12_4 % 17.27/3.19 | % 17.27/3.19 | GROUND_INST: instantiating (11) with all_12_0, all_12_4, b, all_52_0, % 17.27/3.19 | simplifying with (151), (157) gives: % 17.27/3.19 | (158) all_12_0 = all_12_4 % 17.27/3.19 | % 17.27/3.19 | REDUCE: (14), (158) imply: % 17.27/3.20 | (159) $false % 17.51/3.20 | % 17.51/3.20 | CLOSE: (159) is inconsistent. % 17.51/3.20 | % 17.51/3.20 End of proof % 17.51/3.20 % SZS output end Proof for theBenchmark % 17.51/3.20 % 17.51/3.20 2468ms %------------------------------------------------------------------------------