%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : SEU012+1 : TPTP v8.1.2. Released v3.2.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n007.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 : Thu Aug 31 17:42:17 EDT 2023 % Result : Theorem 12.87s 2.69s % Output : Proof 18.90s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SEU012+1 : TPTP v8.1.2. Released v3.2.0. % 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.11/0.33 % Computer : n007.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 300 % 0.11/0.33 % DateTime : Wed Aug 23 18:09:24 EDT 2023 % 0.11/0.33 % CPUTime : % 0.16/0.59 ________ _____ % 0.16/0.59 ___ __ \_________(_)________________________________ % 0.16/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.16/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.16/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.16/0.59 % 0.16/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.16/0.59 (2023-06-19) % 0.16/0.59 % 0.16/0.59 (c) Philipp Rümmer, 2009-2023 % 0.16/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.16/0.59 Amanda Stjerna. % 0.16/0.59 Free software under BSD-3-Clause. % 0.16/0.59 % 0.16/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.16/0.60 % 0.16/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.16/0.61 Running up to 7 provers in parallel. % 0.16/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.16/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.16/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.16/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.16/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.16/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.16/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.02/1.18 Prover 1: Preprocessing ... % 3.02/1.18 Prover 4: Preprocessing ... % 3.49/1.24 Prover 2: Preprocessing ... % 3.49/1.24 Prover 5: Preprocessing ... % 3.49/1.24 Prover 3: Preprocessing ... % 3.49/1.24 Prover 6: Preprocessing ... % 3.49/1.25 Prover 0: Preprocessing ... % 8.02/1.91 Prover 1: Warning: ignoring some quantifiers % 8.55/2.00 Prover 1: Constructing countermodel ... % 8.55/2.09 Prover 3: Warning: ignoring some quantifiers % 8.55/2.10 Prover 3: Constructing countermodel ... % 8.55/2.13 Prover 5: Proving ... % 8.55/2.13 Prover 6: Proving ... % 9.32/2.18 Prover 2: Proving ... % 10.86/2.32 Prover 4: Warning: ignoring some quantifiers % 10.86/2.38 Prover 4: Constructing countermodel ... % 12.24/2.50 Prover 0: Proving ... % 12.87/2.67 Prover 3: proved (2041ms) % 12.87/2.67 % 12.87/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 12.87/2.69 % 12.87/2.69 Prover 2: stopped % 12.87/2.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.87/2.69 Prover 0: stopped % 12.87/2.70 Prover 5: stopped % 12.87/2.71 Prover 6: stopped % 12.87/2.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.87/2.71 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.87/2.71 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 12.87/2.71 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.87/2.77 Prover 10: Preprocessing ... % 12.87/2.79 Prover 7: Preprocessing ... % 13.46/2.81 Prover 13: Preprocessing ... % 13.46/2.82 Prover 11: Preprocessing ... % 13.46/2.82 Prover 8: Preprocessing ... % 13.46/2.88 Prover 10: Warning: ignoring some quantifiers % 14.92/2.90 Prover 10: Constructing countermodel ... % 14.92/2.92 Prover 7: Warning: ignoring some quantifiers % 14.92/2.95 Prover 7: Constructing countermodel ... % 14.92/2.98 Prover 13: Warning: ignoring some quantifiers % 14.92/2.98 Prover 8: Warning: ignoring some quantifiers % 15.68/3.00 Prover 8: Constructing countermodel ... % 15.89/3.02 Prover 13: Constructing countermodel ... % 17.25/3.20 Prover 1: Found proof (size 117) % 17.25/3.20 Prover 1: proved (2579ms) % 17.25/3.20 Prover 13: stopped % 17.25/3.20 Prover 4: stopped % 17.25/3.20 Prover 10: stopped % 17.25/3.20 Prover 7: stopped % 17.25/3.20 Prover 8: stopped % 17.25/3.27 Prover 11: Warning: ignoring some quantifiers % 17.73/3.29 Prover 11: Constructing countermodel ... % 17.77/3.30 Prover 11: stopped % 17.77/3.30 % 17.77/3.30 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 17.77/3.30 % 17.86/3.34 % SZS output start Proof for theBenchmark % 17.86/3.34 Assumptions after simplification: % 17.86/3.34 --------------------------------- % 17.86/3.34 % 17.86/3.34 (d5_funct_1) % 17.86/3.39 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ? [v2: % 17.86/3.40 any] : ? [v3: any] : ? [v4: $i] : (relation_dom(v0) = v4 & relation(v0) % 17.86/3.40 = v2 & function(v0) = v3 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | ( ? [v5: % 17.86/3.40 $i] : (v5 = v1 | ~ $i(v5) | ? [v6: $i] : ? [v7: any] : (in(v6, % 17.86/3.40 v5) = v7 & $i(v6) & ( ~ (v7 = 0) | ! [v8: $i] : ( ~ (in(v8, v4) % 17.86/3.40 = 0) | ~ $i(v8) | ? [v9: $i] : ( ~ (v9 = v6) & apply(v0, % 17.86/3.40 v8) = v9 & $i(v9)))) & (v7 = 0 | ? [v8: $i] : (apply(v0, % 17.86/3.40 v8) = v6 & in(v8, v4) = 0 & $i(v8))))) & ( ~ $i(v1) | ( ! % 17.86/3.40 [v5: $i] : ! [v6: int] : (v6 = 0 | ~ (in(v5, v1) = v6) | ~ % 17.86/3.40 $i(v5) | ! [v7: $i] : ( ~ (in(v7, v4) = 0) | ~ $i(v7) | ? % 17.86/3.40 [v8: $i] : ( ~ (v8 = v5) & apply(v0, v7) = v8 & $i(v8)))) & ! % 17.86/3.40 [v5: $i] : ( ~ (in(v5, v1) = 0) | ~ $i(v5) | ? [v6: $i] : % 17.86/3.40 (apply(v0, v6) = v5 & in(v6, v4) = 0 & $i(v6))))))))) % 17.86/3.40 % 17.86/3.40 (fc10_relat_1) % 17.86/3.40 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v1, v0) = % 17.86/3.40 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 17.86/3.40 ? [v6: any] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & % 17.86/3.40 empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 17.86/3.40 % 17.86/3.40 (fc5_relat_1) % 17.86/3.41 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ? [v2: % 17.86/3.41 any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & empty(v1) = v4 & % 17.86/3.41 empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) % 17.86/3.41 % 17.86/3.41 (fc6_relat_1) % 17.86/3.41 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ? [v2: % 17.86/3.41 any] : ? [v3: any] : ? [v4: any] : (relation(v0) = v3 & empty(v1) = v4 & % 17.86/3.41 empty(v0) = v2 & ( ~ (v4 = 0) | ~ (v3 = 0) | v2 = 0))) % 17.86/3.41 % 17.86/3.41 (fc9_relat_1) % 17.86/3.41 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_composition(v0, v1) = % 17.86/3.41 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: any] : ? [v5: any] : % 17.86/3.41 ? [v6: any] : (relation(v2) = v6 & relation(v1) = v4 & empty(v2) = v5 & % 17.86/3.41 empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | (v6 = 0 & v5 = 0)))) % 17.86/3.41 % 17.86/3.41 (t23_funct_1) % 17.86/3.42 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: any] : ( ~ (relation_dom(v1) % 17.86/3.42 = v2) | ~ (in(v0, v2) = v3) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? % 17.86/3.42 [v5: any] : ? [v6: $i] : (apply(v1, v0) = v6 & relation(v1) = v4 & % 17.86/3.42 function(v1) = v5 & $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ! [v7: $i] : ! % 17.86/3.42 [v8: $i] : ! [v9: $i] : ( ~ (v3 = 0) | ~ (relation_composition(v1, v7) % 17.86/3.42 = v8) | ~ (apply(v8, v0) = v9) | ~ $i(v7) | ? [v10: any] : ? % 17.86/3.42 [v11: any] : ? [v12: $i] : (apply(v7, v6) = v12 & relation(v7) = v10 % 17.86/3.42 & function(v7) = v11 & $i(v12) & ( ~ (v11 = 0) | ~ (v10 = 0) | v12 % 17.86/3.42 = v9)))))) % 17.86/3.42 % 17.86/3.42 (t34_funct_1) % 18.15/3.43 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 18.15/3.43 (identity_relation(v0) = v2) | ~ (relation_dom(v1) = v3) | ~ $i(v1) | ~ % 18.15/3.43 $i(v0) | ? [v4: any] : ? [v5: any] : (relation(v1) = v4 & function(v1) = % 18.15/3.43 v5 & ( ~ (v5 = 0) | ~ (v4 = 0))) | (( ~ (v3 = v0) | v2 = v1 | ? [v4: $i] % 18.15/3.43 : ? [v5: $i] : ( ~ (v5 = v4) & apply(v1, v4) = v5 & in(v4, v0) = 0 & % 18.15/3.43 $i(v5) & $i(v4))) & ( ~ (v2 = v1) | (v3 = v0 & ! [v4: $i] : ! [v5: % 18.15/3.43 $i] : (v5 = v4 | ~ (apply(v1, v4) = v5) | ~ $i(v4) | ? [v6: int] % 18.15/3.43 : ( ~ (v6 = 0) & in(v4, v0) = v6)))))) % 18.15/3.43 % 18.15/3.43 (t44_funct_1) % 18.15/3.43 ? [v0: $i] : ? [v1: $i] : (relation_rng(v0) = v1 & relation(v0) = 0 & % 18.15/3.43 function(v0) = 0 & $i(v1) & $i(v0) & ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = % 18.15/3.43 v2) & identity_relation(v1) = v3 & relation_composition(v0, v2) = v0 & % 18.15/3.43 relation_dom(v2) = v1 & relation(v2) = 0 & function(v2) = 0 & $i(v3) & % 18.15/3.43 $i(v2))) % 18.15/3.43 % 18.15/3.43 (function-axioms) % 18.15/3.44 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 18.15/3.44 [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & % 18.15/3.44 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 18.15/3.44 $i] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! % 18.15/3.44 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.15/3.44 (relation_composition(v3, v2) = v1) | ~ (relation_composition(v3, v2) = % 18.15/3.44 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 18.15/3.44 ~ (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0: % 18.15/3.44 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 18.15/3.44 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: $i] : ! % 18.15/3.44 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) % 18.15/3.44 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 18.15/3.44 $i] : (v1 = v0 | ~ (relation_empty_yielding(v2) = v1) | ~ % 18.15/3.44 (relation_empty_yielding(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.15/3.44 $i] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~ (identity_relation(v2) % 18.15/3.44 = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 18.15/3.44 (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0: $i] : ! % 18.15/3.44 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ % 18.15/3.44 (relation_dom(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.15/3.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~ % 18.15/3.44 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.15/3.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (function(v2) = v1) | ~ % 18.15/3.44 (function(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 18.15/3.44 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) | ~ % 18.15/3.44 (empty(v2) = v0)) % 18.15/3.44 % 18.15/3.44 Further assumptions not needed in the proof: % 18.15/3.44 -------------------------------------------- % 18.15/3.44 antisymmetry_r2_hidden, cc1_funct_1, cc1_relat_1, dt_k5_relat_1, dt_k6_relat_1, % 18.15/3.44 existence_m1_subset_1, fc12_relat_1, fc1_funct_1, fc1_subset_1, fc1_xboole_0, % 18.15/3.44 fc2_funct_1, fc4_relat_1, fc7_relat_1, fc8_relat_1, rc1_funct_1, rc1_relat_1, % 18.15/3.44 rc1_subset_1, rc1_xboole_0, rc2_relat_1, rc2_subset_1, rc2_xboole_0, % 18.15/3.44 rc3_relat_1, reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset, % 18.15/3.44 t5_subset, t6_boole, t7_boole, t8_boole % 18.15/3.44 % 18.15/3.44 Those formulas are unsatisfiable: % 18.15/3.44 --------------------------------- % 18.15/3.44 % 18.15/3.44 Begin of proof % 18.15/3.45 | % 18.15/3.45 | ALPHA: (function-axioms) implies: % 18.15/3.45 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 18.15/3.45 | (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) % 18.15/3.45 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 18.15/3.45 | (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) % 18.15/3.45 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 18.15/3.45 | (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) % 18.15/3.45 | % 18.15/3.45 | DELTA: instantiating (t44_funct_1) with fresh symbols all_46_0, all_46_1 % 18.15/3.45 | gives: % 18.15/3.45 | (4) relation_rng(all_46_1) = all_46_0 & relation(all_46_1) = 0 & % 18.15/3.45 | function(all_46_1) = 0 & $i(all_46_0) & $i(all_46_1) & ? [v0: $i] : ? % 18.15/3.45 | [v1: $i] : ( ~ (v1 = v0) & identity_relation(all_46_0) = v1 & % 18.15/3.45 | relation_composition(all_46_1, v0) = all_46_1 & relation_dom(v0) = % 18.15/3.45 | all_46_0 & relation(v0) = 0 & function(v0) = 0 & $i(v1) & $i(v0)) % 18.15/3.45 | % 18.15/3.45 | ALPHA: (4) implies: % 18.15/3.45 | (5) $i(all_46_1) % 18.15/3.45 | (6) $i(all_46_0) % 18.15/3.45 | (7) function(all_46_1) = 0 % 18.15/3.45 | (8) relation(all_46_1) = 0 % 18.15/3.45 | (9) relation_rng(all_46_1) = all_46_0 % 18.15/3.45 | (10) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & % 18.15/3.45 | identity_relation(all_46_0) = v1 & relation_composition(all_46_1, % 18.15/3.45 | v0) = all_46_1 & relation_dom(v0) = all_46_0 & relation(v0) = 0 & % 18.15/3.45 | function(v0) = 0 & $i(v1) & $i(v0)) % 18.15/3.45 | % 18.15/3.46 | DELTA: instantiating (10) with fresh symbols all_48_0, all_48_1 gives: % 18.15/3.46 | (11) ~ (all_48_0 = all_48_1) & identity_relation(all_46_0) = all_48_0 & % 18.15/3.46 | relation_composition(all_46_1, all_48_1) = all_46_1 & % 18.15/3.46 | relation_dom(all_48_1) = all_46_0 & relation(all_48_1) = 0 & % 18.15/3.46 | function(all_48_1) = 0 & $i(all_48_0) & $i(all_48_1) % 18.15/3.46 | % 18.15/3.46 | ALPHA: (11) implies: % 18.15/3.46 | (12) ~ (all_48_0 = all_48_1) % 18.15/3.46 | (13) $i(all_48_1) % 18.15/3.46 | (14) function(all_48_1) = 0 % 18.15/3.46 | (15) relation(all_48_1) = 0 % 18.15/3.46 | (16) relation_dom(all_48_1) = all_46_0 % 18.15/3.46 | (17) relation_composition(all_46_1, all_48_1) = all_46_1 % 18.15/3.46 | (18) identity_relation(all_46_0) = all_48_0 % 18.15/3.46 | % 18.15/3.46 | GROUND_INST: instantiating (fc5_relat_1) with all_48_1, all_46_0, simplifying % 18.15/3.46 | with (13), (16) gives: % 18.15/3.46 | (19) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_48_1) = v1 % 18.15/3.46 | & empty(all_48_1) = v0 & empty(all_46_0) = v2 & ( ~ (v2 = 0) | ~ % 18.15/3.46 | (v1 = 0) | v0 = 0)) % 18.15/3.46 | % 18.15/3.46 | GROUND_INST: instantiating (d5_funct_1) with all_46_1, all_46_0, simplifying % 18.15/3.46 | with (5), (9) gives: % 18.15/3.46 | (20) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (relation_dom(all_46_1) = % 18.15/3.46 | v2 & relation(all_46_1) = v0 & function(all_46_1) = v1 & $i(v2) & ( % 18.15/3.46 | ~ (v1 = 0) | ~ (v0 = 0) | ( ? [v3: any] : (v3 = all_46_0 | ~ % 18.15/3.46 | $i(v3) | ? [v4: $i] : ? [v5: any] : (in(v4, v3) = v5 & % 18.15/3.46 | $i(v4) & ( ~ (v5 = 0) | ! [v6: $i] : ( ~ (in(v6, v2) = 0) | % 18.15/3.46 | ~ $i(v6) | ? [v7: $i] : ( ~ (v7 = v4) & % 18.15/3.46 | apply(all_46_1, v6) = v7 & $i(v7)))) & (v5 = 0 | ? % 18.15/3.47 | [v6: $i] : (apply(all_46_1, v6) = v4 & in(v6, v2) = 0 & % 18.15/3.47 | $i(v6))))) & ( ~ $i(all_46_0) | ( ! [v3: $i] : ! [v4: % 18.15/3.47 | int] : (v4 = 0 | ~ (in(v3, all_46_0) = v4) | ~ $i(v3) | % 18.15/3.47 | ! [v5: $i] : ( ~ (in(v5, v2) = 0) | ~ $i(v5) | ? [v6: % 18.15/3.47 | $i] : ( ~ (v6 = v3) & apply(all_46_1, v5) = v6 & % 18.15/3.47 | $i(v6)))) & ! [v3: $i] : ( ~ (in(v3, all_46_0) = 0) | % 18.15/3.47 | ~ $i(v3) | ? [v4: $i] : (apply(all_46_1, v4) = v3 & % 18.15/3.47 | in(v4, v2) = 0 & $i(v4)))))))) % 18.15/3.47 | % 18.15/3.47 | GROUND_INST: instantiating (fc6_relat_1) with all_46_1, all_46_0, simplifying % 18.15/3.47 | with (5), (9) gives: % 18.15/3.47 | (21) ? [v0: any] : ? [v1: any] : ? [v2: any] : (relation(all_46_1) = v1 % 18.15/3.47 | & empty(all_46_0) = v2 & empty(all_46_1) = v0 & ( ~ (v2 = 0) | ~ % 18.15/3.47 | (v1 = 0) | v0 = 0)) % 18.15/3.47 | % 18.15/3.47 | GROUND_INST: instantiating (fc10_relat_1) with all_48_1, all_46_1, all_46_1, % 18.15/3.47 | simplifying with (5), (13), (17) gives: % 18.15/3.47 | (22) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 18.15/3.47 | (relation(all_46_1) = v3 & relation(all_46_1) = v1 & empty(all_48_1) = % 18.15/3.47 | v0 & empty(all_46_1) = v2 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & % 18.15/3.47 | v2 = 0))) % 18.15/3.47 | % 18.15/3.47 | GROUND_INST: instantiating (fc9_relat_1) with all_46_1, all_48_1, all_46_1, % 18.15/3.47 | simplifying with (5), (13), (17) gives: % 18.15/3.47 | (23) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 18.15/3.47 | (relation(all_48_1) = v1 & relation(all_46_1) = v3 & empty(all_46_1) = % 18.15/3.47 | v2 & empty(all_46_1) = v0 & ( ~ (v1 = 0) | ~ (v0 = 0) | (v3 = 0 & % 18.15/3.47 | v2 = 0))) % 18.15/3.47 | % 18.15/3.47 | GROUND_INST: instantiating (t34_funct_1) with all_46_0, all_48_1, all_48_0, % 18.15/3.47 | all_46_0, simplifying with (6), (13), (16), (18) gives: % 18.15/3.47 | (24) ? [v0: any] : ? [v1: any] : (relation(all_48_1) = v0 & % 18.15/3.47 | function(all_48_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) | (( ~ % 18.15/3.47 | (all_48_0 = all_48_1) | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ % 18.15/3.47 | (apply(all_48_1, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 % 18.15/3.47 | = 0) & in(v0, all_46_0) = v2))) & (all_48_0 = all_48_1 | ? % 18.15/3.47 | [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & apply(all_48_1, v0) = v1 % 18.15/3.47 | & in(v0, all_46_0) = 0 & $i(v1) & $i(v0)))) % 18.15/3.47 | % 18.15/3.47 | DELTA: instantiating (21) with fresh symbols all_56_0, all_56_1, all_56_2 % 18.15/3.47 | gives: % 18.15/3.47 | (25) relation(all_46_1) = all_56_1 & empty(all_46_0) = all_56_0 & % 18.15/3.47 | empty(all_46_1) = all_56_2 & ( ~ (all_56_0 = 0) | ~ (all_56_1 = 0) | % 18.15/3.47 | all_56_2 = 0) % 18.15/3.47 | % 18.15/3.47 | ALPHA: (25) implies: % 18.15/3.47 | (26) relation(all_46_1) = all_56_1 % 18.15/3.47 | % 18.15/3.47 | DELTA: instantiating (19) with fresh symbols all_60_0, all_60_1, all_60_2 % 18.15/3.47 | gives: % 18.15/3.48 | (27) relation(all_48_1) = all_60_1 & empty(all_48_1) = all_60_2 & % 18.15/3.48 | empty(all_46_0) = all_60_0 & ( ~ (all_60_0 = 0) | ~ (all_60_1 = 0) | % 18.15/3.48 | all_60_2 = 0) % 18.15/3.48 | % 18.15/3.48 | ALPHA: (27) implies: % 18.15/3.48 | (28) relation(all_48_1) = all_60_1 % 18.15/3.48 | % 18.15/3.48 | DELTA: instantiating (23) with fresh symbols all_64_0, all_64_1, all_64_2, % 18.15/3.48 | all_64_3 gives: % 18.15/3.48 | (29) relation(all_48_1) = all_64_2 & relation(all_46_1) = all_64_0 & % 18.15/3.48 | empty(all_46_1) = all_64_1 & empty(all_46_1) = all_64_3 & ( ~ % 18.15/3.48 | (all_64_2 = 0) | ~ (all_64_3 = 0) | (all_64_0 = 0 & all_64_1 = 0)) % 18.15/3.48 | % 18.15/3.48 | ALPHA: (29) implies: % 18.15/3.48 | (30) relation(all_46_1) = all_64_0 % 18.15/3.48 | (31) relation(all_48_1) = all_64_2 % 18.15/3.48 | % 18.15/3.48 | DELTA: instantiating (22) with fresh symbols all_66_0, all_66_1, all_66_2, % 18.15/3.48 | all_66_3 gives: % 18.15/3.48 | (32) relation(all_46_1) = all_66_0 & relation(all_46_1) = all_66_2 & % 18.15/3.48 | empty(all_48_1) = all_66_3 & empty(all_46_1) = all_66_1 & ( ~ % 18.15/3.48 | (all_66_2 = 0) | ~ (all_66_3 = 0) | (all_66_0 = 0 & all_66_1 = 0)) % 18.15/3.48 | % 18.15/3.48 | ALPHA: (32) implies: % 18.15/3.48 | (33) relation(all_46_1) = all_66_2 % 18.15/3.48 | (34) relation(all_46_1) = all_66_0 % 18.15/3.48 | % 18.15/3.48 | DELTA: instantiating (20) with fresh symbols all_68_0, all_68_1, all_68_2 % 18.15/3.48 | gives: % 18.15/3.48 | (35) relation_dom(all_46_1) = all_68_0 & relation(all_46_1) = all_68_2 & % 18.15/3.48 | function(all_46_1) = all_68_1 & $i(all_68_0) & ( ~ (all_68_1 = 0) | ~ % 18.15/3.48 | (all_68_2 = 0) | ( ? [v0: any] : (v0 = all_46_0 | ~ $i(v0) | ? % 18.15/3.48 | [v1: $i] : ? [v2: any] : (in(v1, v0) = v2 & $i(v1) & ( ~ (v2 = % 18.15/3.48 | 0) | ! [v3: $i] : ( ~ (in(v3, all_68_0) = 0) | ~ $i(v3) % 18.15/3.48 | | ? [v4: $i] : ( ~ (v4 = v1) & apply(all_46_1, v3) = v4 & % 18.15/3.48 | $i(v4)))) & (v2 = 0 | ? [v3: $i] : (apply(all_46_1, v3) % 18.15/3.48 | = v1 & in(v3, all_68_0) = 0 & $i(v3))))) & ( ~ % 18.15/3.48 | $i(all_46_0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 18.15/3.48 | (in(v0, all_46_0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 18.15/3.48 | (in(v2, all_68_0) = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ (v3 % 18.15/3.48 | = v0) & apply(all_46_1, v2) = v3 & $i(v3)))) & ! [v0: % 18.15/3.48 | $i] : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 18.15/3.48 | (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & % 18.15/3.48 | $i(v1))))))) % 18.15/3.48 | % 18.15/3.48 | ALPHA: (35) implies: % 18.15/3.48 | (36) function(all_46_1) = all_68_1 % 18.15/3.48 | (37) relation(all_46_1) = all_68_2 % 18.15/3.48 | (38) relation_dom(all_46_1) = all_68_0 % 18.15/3.49 | (39) ~ (all_68_1 = 0) | ~ (all_68_2 = 0) | ( ? [v0: any] : (v0 = all_46_0 % 18.15/3.49 | | ~ $i(v0) | ? [v1: $i] : ? [v2: any] : (in(v1, v0) = v2 & % 18.15/3.49 | $i(v1) & ( ~ (v2 = 0) | ! [v3: $i] : ( ~ (in(v3, all_68_0) = 0) % 18.15/3.49 | | ~ $i(v3) | ? [v4: $i] : ( ~ (v4 = v1) & apply(all_46_1, % 18.15/3.49 | v3) = v4 & $i(v4)))) & (v2 = 0 | ? [v3: $i] : % 18.15/3.49 | (apply(all_46_1, v3) = v1 & in(v3, all_68_0) = 0 & $i(v3))))) % 18.15/3.49 | & ( ~ $i(all_46_0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 18.15/3.49 | (in(v0, all_46_0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 18.15/3.49 | (in(v2, all_68_0) = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ (v3 = % 18.15/3.49 | v0) & apply(all_46_1, v2) = v3 & $i(v3)))) & ! [v0: $i] % 18.15/3.49 | : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 18.15/3.49 | (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & $i(v1)))))) % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (1) with 0, all_68_1, all_46_1, simplifying with % 18.15/3.49 | (7), (36) gives: % 18.15/3.49 | (40) all_68_1 = 0 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with all_66_2, all_66_0, all_46_1, simplifying % 18.15/3.49 | with (33), (34) gives: % 18.15/3.49 | (41) all_66_0 = all_66_2 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with all_64_0, all_66_0, all_46_1, simplifying % 18.15/3.49 | with (30), (34) gives: % 18.15/3.49 | (42) all_66_0 = all_64_0 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with all_56_1, all_66_0, all_46_1, simplifying % 18.15/3.49 | with (26), (34) gives: % 18.15/3.49 | (43) all_66_0 = all_56_1 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with 0, all_68_2, all_46_1, simplifying with % 18.15/3.49 | (8), (37) gives: % 18.15/3.49 | (44) all_68_2 = 0 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with all_66_2, all_68_2, all_46_1, simplifying % 18.15/3.49 | with (33), (37) gives: % 18.15/3.49 | (45) all_68_2 = all_66_2 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with 0, all_64_2, all_48_1, simplifying with % 18.15/3.49 | (15), (31) gives: % 18.15/3.49 | (46) all_64_2 = 0 % 18.15/3.49 | % 18.15/3.49 | GROUND_INST: instantiating (2) with all_60_1, all_64_2, all_48_1, simplifying % 18.15/3.49 | with (28), (31) gives: % 18.15/3.49 | (47) all_64_2 = all_60_1 % 18.15/3.49 | % 18.15/3.49 | COMBINE_EQS: (44), (45) imply: % 18.15/3.49 | (48) all_66_2 = 0 % 18.15/3.49 | % 18.15/3.49 | SIMP: (48) implies: % 18.15/3.49 | (49) all_66_2 = 0 % 18.15/3.49 | % 18.15/3.49 | COMBINE_EQS: (41), (42) imply: % 18.15/3.49 | (50) all_66_2 = all_64_0 % 18.15/3.49 | % 18.15/3.49 | SIMP: (50) implies: % 18.15/3.49 | (51) all_66_2 = all_64_0 % 18.15/3.49 | % 18.15/3.49 | COMBINE_EQS: (42), (43) imply: % 18.15/3.49 | (52) all_64_0 = all_56_1 % 18.15/3.49 | % 18.15/3.50 | COMBINE_EQS: (49), (51) imply: % 18.15/3.50 | (53) all_64_0 = 0 % 18.15/3.50 | % 18.15/3.50 | SIMP: (53) implies: % 18.15/3.50 | (54) all_64_0 = 0 % 18.15/3.50 | % 18.15/3.50 | COMBINE_EQS: (52), (54) imply: % 18.15/3.50 | (55) all_56_1 = 0 % 18.15/3.50 | % 18.15/3.50 | SIMP: (55) implies: % 18.15/3.50 | (56) all_56_1 = 0 % 18.15/3.50 | % 18.15/3.50 | COMBINE_EQS: (46), (47) imply: % 18.15/3.50 | (57) all_60_1 = 0 % 18.15/3.50 | % 18.15/3.50 | BETA: splitting (39) gives: % 18.15/3.50 | % 18.15/3.50 | Case 1: % 18.15/3.50 | | % 18.15/3.50 | | (58) ~ (all_68_1 = 0) % 18.15/3.50 | | % 18.15/3.50 | | REDUCE: (40), (58) imply: % 18.15/3.50 | | (59) $false % 18.15/3.50 | | % 18.15/3.50 | | CLOSE: (59) is inconsistent. % 18.15/3.50 | | % 18.15/3.50 | Case 2: % 18.15/3.50 | | % 18.15/3.50 | | (60) ~ (all_68_2 = 0) | ( ? [v0: any] : (v0 = all_46_0 | ~ $i(v0) | ? % 18.15/3.50 | | [v1: $i] : ? [v2: any] : (in(v1, v0) = v2 & $i(v1) & ( ~ (v2 = % 18.15/3.50 | | 0) | ! [v3: $i] : ( ~ (in(v3, all_68_0) = 0) | ~ $i(v3) % 18.15/3.50 | | | ? [v4: $i] : ( ~ (v4 = v1) & apply(all_46_1, v3) = v4 & % 18.15/3.50 | | $i(v4)))) & (v2 = 0 | ? [v3: $i] : (apply(all_46_1, v3) % 18.15/3.50 | | = v1 & in(v3, all_68_0) = 0 & $i(v3))))) & ( ~ % 18.15/3.50 | | $i(all_46_0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 18.15/3.50 | | (in(v0, all_46_0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 18.15/3.50 | | (in(v2, all_68_0) = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ (v3 % 18.15/3.50 | | = v0) & apply(all_46_1, v2) = v3 & $i(v3)))) & ! [v0: % 18.15/3.50 | | $i] : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 18.15/3.50 | | (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & % 18.15/3.50 | | $i(v1)))))) % 18.15/3.50 | | % 18.15/3.50 | | BETA: splitting (24) gives: % 18.15/3.50 | | % 18.15/3.50 | | Case 1: % 18.15/3.50 | | | % 18.15/3.51 | | | (61) ? [v0: any] : ? [v1: any] : (relation(all_48_1) = v0 & % 18.15/3.51 | | | function(all_48_1) = v1 & ( ~ (v1 = 0) | ~ (v0 = 0))) % 18.15/3.51 | | | % 18.15/3.51 | | | DELTA: instantiating (61) with fresh symbols all_80_0, all_80_1 gives: % 18.15/3.51 | | | (62) relation(all_48_1) = all_80_1 & function(all_48_1) = all_80_0 & ( % 18.15/3.51 | | | ~ (all_80_0 = 0) | ~ (all_80_1 = 0)) % 18.15/3.51 | | | % 18.15/3.51 | | | ALPHA: (62) implies: % 18.15/3.51 | | | (63) function(all_48_1) = all_80_0 % 18.15/3.51 | | | (64) relation(all_48_1) = all_80_1 % 18.15/3.51 | | | (65) ~ (all_80_0 = 0) | ~ (all_80_1 = 0) % 18.15/3.51 | | | % 18.15/3.51 | | | GROUND_INST: instantiating (1) with 0, all_80_0, all_48_1, simplifying % 18.15/3.51 | | | with (14), (63) gives: % 18.15/3.51 | | | (66) all_80_0 = 0 % 18.15/3.51 | | | % 18.15/3.51 | | | GROUND_INST: instantiating (2) with 0, all_80_1, all_48_1, simplifying % 18.15/3.51 | | | with (15), (64) gives: % 18.15/3.51 | | | (67) all_80_1 = 0 % 18.15/3.51 | | | % 18.15/3.51 | | | BETA: splitting (65) gives: % 18.15/3.51 | | | % 18.15/3.51 | | | Case 1: % 18.15/3.51 | | | | % 18.15/3.51 | | | | (68) ~ (all_80_0 = 0) % 18.15/3.51 | | | | % 18.15/3.51 | | | | REDUCE: (66), (68) imply: % 18.15/3.51 | | | | (69) $false % 18.15/3.51 | | | | % 18.15/3.51 | | | | CLOSE: (69) is inconsistent. % 18.15/3.51 | | | | % 18.15/3.51 | | | Case 2: % 18.15/3.51 | | | | % 18.15/3.51 | | | | (70) ~ (all_80_1 = 0) % 18.15/3.51 | | | | % 18.15/3.51 | | | | REDUCE: (67), (70) imply: % 18.15/3.51 | | | | (71) $false % 18.15/3.51 | | | | % 18.15/3.51 | | | | CLOSE: (71) is inconsistent. % 18.15/3.51 | | | | % 18.15/3.51 | | | End of split % 18.15/3.51 | | | % 18.15/3.51 | | Case 2: % 18.15/3.51 | | | % 18.15/3.51 | | | (72) ( ~ (all_48_0 = all_48_1) | ! [v0: $i] : ! [v1: $i] : (v1 = v0 | % 18.15/3.51 | | | ~ (apply(all_48_1, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ % 18.15/3.51 | | | (v2 = 0) & in(v0, all_46_0) = v2))) & (all_48_0 = all_48_1 | % 18.15/3.51 | | | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & apply(all_48_1, v0) % 18.15/3.51 | | | = v1 & in(v0, all_46_0) = 0 & $i(v1) & $i(v0))) % 18.15/3.51 | | | % 18.15/3.51 | | | ALPHA: (72) implies: % 18.15/3.51 | | | (73) all_48_0 = all_48_1 | ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & % 18.15/3.51 | | | apply(all_48_1, v0) = v1 & in(v0, all_46_0) = 0 & $i(v1) & % 18.15/3.51 | | | $i(v0)) % 18.15/3.51 | | | % 18.15/3.51 | | | BETA: splitting (60) gives: % 18.15/3.51 | | | % 18.15/3.51 | | | Case 1: % 18.15/3.51 | | | | % 18.15/3.51 | | | | (74) ~ (all_68_2 = 0) % 18.15/3.51 | | | | % 18.15/3.51 | | | | REDUCE: (44), (74) imply: % 18.15/3.51 | | | | (75) $false % 18.15/3.51 | | | | % 18.15/3.51 | | | | CLOSE: (75) is inconsistent. % 18.15/3.51 | | | | % 18.15/3.51 | | | Case 2: % 18.15/3.51 | | | | % 18.15/3.52 | | | | (76) ? [v0: any] : (v0 = all_46_0 | ~ $i(v0) | ? [v1: $i] : ? % 18.90/3.52 | | | | [v2: any] : (in(v1, v0) = v2 & $i(v1) & ( ~ (v2 = 0) | ! [v3: % 18.90/3.52 | | | | $i] : ( ~ (in(v3, all_68_0) = 0) | ~ $i(v3) | ? [v4: % 18.90/3.52 | | | | $i] : ( ~ (v4 = v1) & apply(all_46_1, v3) = v4 & % 18.90/3.52 | | | | $i(v4)))) & (v2 = 0 | ? [v3: $i] : (apply(all_46_1, % 18.90/3.52 | | | | v3) = v1 & in(v3, all_68_0) = 0 & $i(v3))))) & ( ~ % 18.90/3.52 | | | | $i(all_46_0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 18.90/3.52 | | | | (in(v0, all_46_0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 18.90/3.52 | | | | (in(v2, all_68_0) = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ % 18.90/3.52 | | | | (v3 = v0) & apply(all_46_1, v2) = v3 & $i(v3)))) & ! % 18.90/3.52 | | | | [v0: $i] : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: % 18.90/3.52 | | | | $i] : (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & % 18.90/3.52 | | | | $i(v1))))) % 18.90/3.52 | | | | % 18.90/3.52 | | | | ALPHA: (76) implies: % 18.90/3.52 | | | | (77) ~ $i(all_46_0) | ( ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ % 18.90/3.52 | | | | (in(v0, all_46_0) = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ % 18.90/3.52 | | | | (in(v2, all_68_0) = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ (v3 % 18.90/3.52 | | | | = v0) & apply(all_46_1, v2) = v3 & $i(v3)))) & ! [v0: % 18.90/3.52 | | | | $i] : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 18.90/3.52 | | | | (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & $i(v1)))) % 18.90/3.52 | | | | % 18.90/3.52 | | | | BETA: splitting (73) gives: % 18.90/3.52 | | | | % 18.90/3.52 | | | | Case 1: % 18.90/3.52 | | | | | % 18.90/3.52 | | | | | (78) all_48_0 = all_48_1 % 18.90/3.52 | | | | | % 18.90/3.52 | | | | | REDUCE: (12), (78) imply: % 18.90/3.52 | | | | | (79) $false % 18.90/3.52 | | | | | % 18.90/3.52 | | | | | CLOSE: (79) is inconsistent. % 18.90/3.52 | | | | | % 18.90/3.52 | | | | Case 2: % 18.90/3.52 | | | | | % 18.90/3.53 | | | | | (80) ? [v0: $i] : ? [v1: $i] : ( ~ (v1 = v0) & apply(all_48_1, % 18.90/3.53 | | | | | v0) = v1 & in(v0, all_46_0) = 0 & $i(v1) & $i(v0)) % 18.90/3.53 | | | | | % 18.90/3.53 | | | | | DELTA: instantiating (80) with fresh symbols all_87_0, all_87_1 gives: % 18.90/3.53 | | | | | (81) ~ (all_87_0 = all_87_1) & apply(all_48_1, all_87_1) = % 18.90/3.53 | | | | | all_87_0 & in(all_87_1, all_46_0) = 0 & $i(all_87_0) & % 18.90/3.53 | | | | | $i(all_87_1) % 18.90/3.53 | | | | | % 18.90/3.53 | | | | | ALPHA: (81) implies: % 18.90/3.53 | | | | | (82) ~ (all_87_0 = all_87_1) % 18.90/3.53 | | | | | (83) $i(all_87_1) % 18.90/3.53 | | | | | (84) in(all_87_1, all_46_0) = 0 % 18.90/3.53 | | | | | (85) apply(all_48_1, all_87_1) = all_87_0 % 18.90/3.53 | | | | | % 18.90/3.53 | | | | | BETA: splitting (77) gives: % 18.90/3.53 | | | | | % 18.90/3.53 | | | | | Case 1: % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | (86) ~ $i(all_46_0) % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | PRED_UNIFY: (6), (86) imply: % 18.90/3.53 | | | | | | (87) $false % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | CLOSE: (87) is inconsistent. % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | Case 2: % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | (88) ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (in(v0, all_46_0) % 18.90/3.53 | | | | | | = v1) | ~ $i(v0) | ! [v2: $i] : ( ~ (in(v2, all_68_0) % 18.90/3.53 | | | | | | = 0) | ~ $i(v2) | ? [v3: $i] : ( ~ (v3 = v0) & % 18.90/3.53 | | | | | | apply(all_46_1, v2) = v3 & $i(v3)))) & ! [v0: $i] : ( % 18.90/3.53 | | | | | | ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? [v1: $i] : % 18.90/3.53 | | | | | | (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = 0 & % 18.90/3.53 | | | | | | $i(v1))) % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | ALPHA: (88) implies: % 18.90/3.53 | | | | | | (89) ! [v0: $i] : ( ~ (in(v0, all_46_0) = 0) | ~ $i(v0) | ? % 18.90/3.53 | | | | | | [v1: $i] : (apply(all_46_1, v1) = v0 & in(v1, all_68_0) = % 18.90/3.53 | | | | | | 0 & $i(v1))) % 18.90/3.53 | | | | | | % 18.90/3.53 | | | | | | GROUND_INST: instantiating (t23_funct_1) with all_87_1, all_48_1, % 18.90/3.53 | | | | | | all_46_0, 0, simplifying with (13), (16), (83), (84) % 18.90/3.53 | | | | | | gives: % 18.90/3.54 | | | | | | (90) ? [v0: any] : ? [v1: any] : ? [v2: $i] : (apply(all_48_1, % 18.90/3.54 | | | | | | all_87_1) = v2 & relation(all_48_1) = v0 & % 18.90/3.54 | | | | | | function(all_48_1) = v1 & $i(v2) & ( ~ (v1 = 0) | ~ (v0 = % 18.90/3.54 | | | | | | 0) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( ~ % 18.90/3.54 | | | | | | (relation_composition(all_48_1, v3) = v4) | ~ % 18.90/3.54 | | | | | | (apply(v4, all_87_1) = v5) | ~ $i(v3) | ? [v6: any] % 18.90/3.54 | | | | | | : ? [v7: any] : ? [v8: $i] : (apply(v3, v2) = v8 & % 18.90/3.54 | | | | | | relation(v3) = v6 & function(v3) = v7 & $i(v8) & ( ~ % 18.90/3.54 | | | | | | (v7 = 0) | ~ (v6 = 0) | v8 = v5))))) % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | GROUND_INST: instantiating (89) with all_87_1, simplifying with % 18.90/3.54 | | | | | | (83), (84) gives: % 18.90/3.54 | | | | | | (91) ? [v0: $i] : (apply(all_46_1, v0) = all_87_1 & in(v0, % 18.90/3.54 | | | | | | all_68_0) = 0 & $i(v0)) % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | GROUND_INST: instantiating (fc5_relat_1) with all_46_1, all_68_0, % 18.90/3.54 | | | | | | simplifying with (5), (38) gives: % 18.90/3.54 | | | | | | (92) ? [v0: any] : ? [v1: any] : ? [v2: any] : % 18.90/3.54 | | | | | | (relation(all_46_1) = v1 & empty(all_68_0) = v2 & % 18.90/3.54 | | | | | | empty(all_46_1) = v0 & ( ~ (v2 = 0) | ~ (v1 = 0) | v0 = % 18.90/3.54 | | | | | | 0)) % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | DELTA: instantiating (91) with fresh symbol all_103_0 gives: % 18.90/3.54 | | | | | | (93) apply(all_46_1, all_103_0) = all_87_1 & in(all_103_0, % 18.90/3.54 | | | | | | all_68_0) = 0 & $i(all_103_0) % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | ALPHA: (93) implies: % 18.90/3.54 | | | | | | (94) $i(all_103_0) % 18.90/3.54 | | | | | | (95) in(all_103_0, all_68_0) = 0 % 18.90/3.54 | | | | | | (96) apply(all_46_1, all_103_0) = all_87_1 % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | DELTA: instantiating (92) with fresh symbols all_105_0, all_105_1, % 18.90/3.54 | | | | | | all_105_2 gives: % 18.90/3.54 | | | | | | (97) relation(all_46_1) = all_105_1 & empty(all_68_0) = all_105_0 % 18.90/3.54 | | | | | | & empty(all_46_1) = all_105_2 & ( ~ (all_105_0 = 0) | ~ % 18.90/3.54 | | | | | | (all_105_1 = 0) | all_105_2 = 0) % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | ALPHA: (97) implies: % 18.90/3.54 | | | | | | (98) relation(all_46_1) = all_105_1 % 18.90/3.54 | | | | | | % 18.90/3.54 | | | | | | DELTA: instantiating (90) with fresh symbols all_109_0, all_109_1, % 18.90/3.54 | | | | | | all_109_2 gives: % 18.90/3.54 | | | | | | (99) apply(all_48_1, all_87_1) = all_109_0 & relation(all_48_1) = % 18.90/3.55 | | | | | | all_109_2 & function(all_48_1) = all_109_1 & $i(all_109_0) & % 18.90/3.55 | | | | | | ( ~ (all_109_1 = 0) | ~ (all_109_2 = 0) | ! [v0: $i] : ! % 18.90/3.55 | | | | | | [v1: $i] : ! [v2: $i] : ( ~ % 18.90/3.55 | | | | | | (relation_composition(all_48_1, v0) = v1) | ~ % 18.90/3.55 | | | | | | (apply(v1, all_87_1) = v2) | ~ $i(v0) | ? [v3: any] : % 18.90/3.55 | | | | | | ? [v4: any] : ? [v5: $i] : (apply(v0, all_109_0) = v5 & % 18.90/3.55 | | | | | | relation(v0) = v3 & function(v0) = v4 & $i(v5) & ( ~ % 18.90/3.55 | | | | | | (v4 = 0) | ~ (v3 = 0) | v5 = v2)))) % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | ALPHA: (99) implies: % 18.90/3.55 | | | | | | (100) function(all_48_1) = all_109_1 % 18.90/3.55 | | | | | | (101) relation(all_48_1) = all_109_2 % 18.90/3.55 | | | | | | (102) apply(all_48_1, all_87_1) = all_109_0 % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | GROUND_INST: instantiating (1) with 0, all_109_1, all_48_1, % 18.90/3.55 | | | | | | simplifying with (14), (100) gives: % 18.90/3.55 | | | | | | (103) all_109_1 = 0 % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | GROUND_INST: instantiating (2) with 0, all_105_1, all_46_1, % 18.90/3.55 | | | | | | simplifying with (8), (98) gives: % 18.90/3.55 | | | | | | (104) all_105_1 = 0 % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | GROUND_INST: instantiating (2) with 0, all_109_2, all_48_1, % 18.90/3.55 | | | | | | simplifying with (15), (101) gives: % 18.90/3.55 | | | | | | (105) all_109_2 = 0 % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | GROUND_INST: instantiating (3) with all_87_0, all_109_0, all_87_1, % 18.90/3.55 | | | | | | all_48_1, simplifying with (85), (102) gives: % 18.90/3.55 | | | | | | (106) all_109_0 = all_87_0 % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | GROUND_INST: instantiating (t23_funct_1) with all_103_0, all_46_1, % 18.90/3.55 | | | | | | all_68_0, 0, simplifying with (5), (38), (94), (95) % 18.90/3.55 | | | | | | gives: % 18.90/3.55 | | | | | | (107) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 18.90/3.55 | | | | | | (apply(all_46_1, all_103_0) = v2 & relation(all_46_1) = v0 % 18.90/3.55 | | | | | | & function(all_46_1) = v1 & $i(v2) & ( ~ (v1 = 0) | ~ % 18.90/3.55 | | | | | | (v0 = 0) | ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ( % 18.90/3.55 | | | | | | ~ (relation_composition(all_46_1, v3) = v4) | ~ % 18.90/3.55 | | | | | | (apply(v4, all_103_0) = v5) | ~ $i(v3) | ? [v6: % 18.90/3.55 | | | | | | any] : ? [v7: any] : ? [v8: $i] : (apply(v3, v2) % 18.90/3.55 | | | | | | = v8 & relation(v3) = v6 & function(v3) = v7 & % 18.90/3.55 | | | | | | $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | v8 = v5))))) % 18.90/3.55 | | | | | | % 18.90/3.55 | | | | | | DELTA: instantiating (107) with fresh symbols all_142_0, all_142_1, % 18.90/3.55 | | | | | | all_142_2 gives: % 18.90/3.56 | | | | | | (108) apply(all_46_1, all_103_0) = all_142_0 & relation(all_46_1) % 18.90/3.56 | | | | | | = all_142_2 & function(all_46_1) = all_142_1 & % 18.90/3.56 | | | | | | $i(all_142_0) & ( ~ (all_142_1 = 0) | ~ (all_142_2 = 0) | % 18.90/3.56 | | | | | | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 18.90/3.56 | | | | | | (relation_composition(all_46_1, v0) = v1) | ~ % 18.90/3.56 | | | | | | (apply(v1, all_103_0) = v2) | ~ $i(v0) | ? [v3: any] % 18.90/3.56 | | | | | | : ? [v4: any] : ? [v5: $i] : (apply(v0, all_142_0) = % 18.90/3.56 | | | | | | v5 & relation(v0) = v3 & function(v0) = v4 & $i(v5) & % 18.90/3.56 | | | | | | ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = v2)))) % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | ALPHA: (108) implies: % 18.90/3.56 | | | | | | (109) function(all_46_1) = all_142_1 % 18.90/3.56 | | | | | | (110) relation(all_46_1) = all_142_2 % 18.90/3.56 | | | | | | (111) apply(all_46_1, all_103_0) = all_142_0 % 18.90/3.56 | | | | | | (112) ~ (all_142_1 = 0) | ~ (all_142_2 = 0) | ! [v0: $i] : ! % 18.90/3.56 | | | | | | [v1: $i] : ! [v2: $i] : ( ~ % 18.90/3.56 | | | | | | (relation_composition(all_46_1, v0) = v1) | ~ (apply(v1, % 18.90/3.56 | | | | | | all_103_0) = v2) | ~ $i(v0) | ? [v3: any] : ? [v4: % 18.90/3.56 | | | | | | any] : ? [v5: $i] : (apply(v0, all_142_0) = v5 & % 18.90/3.56 | | | | | | relation(v0) = v3 & function(v0) = v4 & $i(v5) & ( ~ % 18.90/3.56 | | | | | | (v4 = 0) | ~ (v3 = 0) | v5 = v2))) % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | GROUND_INST: instantiating (1) with 0, all_142_1, all_46_1, % 18.90/3.56 | | | | | | simplifying with (7), (109) gives: % 18.90/3.56 | | | | | | (113) all_142_1 = 0 % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | GROUND_INST: instantiating (2) with 0, all_142_2, all_46_1, % 18.90/3.56 | | | | | | simplifying with (8), (110) gives: % 18.90/3.56 | | | | | | (114) all_142_2 = 0 % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | GROUND_INST: instantiating (3) with all_87_1, all_142_0, all_103_0, % 18.90/3.56 | | | | | | all_46_1, simplifying with (96), (111) gives: % 18.90/3.56 | | | | | | (115) all_142_0 = all_87_1 % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | BETA: splitting (112) gives: % 18.90/3.56 | | | | | | % 18.90/3.56 | | | | | | Case 1: % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | (116) ~ (all_142_1 = 0) % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | REDUCE: (113), (116) imply: % 18.90/3.56 | | | | | | | (117) $false % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | CLOSE: (117) is inconsistent. % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | Case 2: % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | (118) ~ (all_142_2 = 0) | ! [v0: $i] : ! [v1: $i] : ! [v2: % 18.90/3.56 | | | | | | | $i] : ( ~ (relation_composition(all_46_1, v0) = v1) | % 18.90/3.56 | | | | | | | ~ (apply(v1, all_103_0) = v2) | ~ $i(v0) | ? [v3: % 18.90/3.56 | | | | | | | any] : ? [v4: any] : ? [v5: $i] : (apply(v0, % 18.90/3.56 | | | | | | | all_142_0) = v5 & relation(v0) = v3 & function(v0) % 18.90/3.56 | | | | | | | = v4 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 = 0) | v5 = % 18.90/3.56 | | | | | | | v2))) % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | BETA: splitting (118) gives: % 18.90/3.56 | | | | | | | % 18.90/3.56 | | | | | | | Case 1: % 18.90/3.56 | | | | | | | | % 18.90/3.56 | | | | | | | | (119) ~ (all_142_2 = 0) % 18.90/3.56 | | | | | | | | % 18.90/3.56 | | | | | | | | REDUCE: (114), (119) imply: % 18.90/3.56 | | | | | | | | (120) $false % 18.90/3.56 | | | | | | | | % 18.90/3.56 | | | | | | | | CLOSE: (120) is inconsistent. % 18.90/3.56 | | | | | | | | % 18.90/3.56 | | | | | | | Case 2: % 18.90/3.56 | | | | | | | | % 18.90/3.57 | | | | | | | | (121) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ % 18.90/3.57 | | | | | | | | (relation_composition(all_46_1, v0) = v1) | ~ % 18.90/3.57 | | | | | | | | (apply(v1, all_103_0) = v2) | ~ $i(v0) | ? [v3: % 18.90/3.57 | | | | | | | | any] : ? [v4: any] : ? [v5: $i] : (apply(v0, % 18.90/3.57 | | | | | | | | all_142_0) = v5 & relation(v0) = v3 & % 18.90/3.57 | | | | | | | | function(v0) = v4 & $i(v5) & ( ~ (v4 = 0) | ~ (v3 % 18.90/3.57 | | | | | | | | = 0) | v5 = v2))) % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | GROUND_INST: instantiating (121) with all_48_1, all_46_1, % 18.90/3.57 | | | | | | | | all_87_1, simplifying with (13), (17), (96) gives: % 18.90/3.57 | | | | | | | | (122) ? [v0: any] : ? [v1: any] : ? [v2: $i] : % 18.90/3.57 | | | | | | | | (apply(all_48_1, all_142_0) = v2 & relation(all_48_1) = % 18.90/3.57 | | | | | | | | v0 & function(all_48_1) = v1 & $i(v2) & ( ~ (v1 = 0) % 18.90/3.57 | | | | | | | | | ~ (v0 = 0) | v2 = all_87_1)) % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | DELTA: instantiating (122) with fresh symbols all_157_0, % 18.90/3.57 | | | | | | | | all_157_1, all_157_2 gives: % 18.90/3.57 | | | | | | | | (123) apply(all_48_1, all_142_0) = all_157_0 & % 18.90/3.57 | | | | | | | | relation(all_48_1) = all_157_2 & function(all_48_1) = % 18.90/3.57 | | | | | | | | all_157_1 & $i(all_157_0) & ( ~ (all_157_1 = 0) | ~ % 18.90/3.57 | | | | | | | | (all_157_2 = 0) | all_157_0 = all_87_1) % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | ALPHA: (123) implies: % 18.90/3.57 | | | | | | | | (124) function(all_48_1) = all_157_1 % 18.90/3.57 | | | | | | | | (125) relation(all_48_1) = all_157_2 % 18.90/3.57 | | | | | | | | (126) apply(all_48_1, all_142_0) = all_157_0 % 18.90/3.57 | | | | | | | | (127) ~ (all_157_1 = 0) | ~ (all_157_2 = 0) | all_157_0 = % 18.90/3.57 | | | | | | | | all_87_1 % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | REDUCE: (115), (126) imply: % 18.90/3.57 | | | | | | | | (128) apply(all_48_1, all_87_1) = all_157_0 % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | GROUND_INST: instantiating (1) with 0, all_157_1, all_48_1, % 18.90/3.57 | | | | | | | | simplifying with (14), (124) gives: % 18.90/3.57 | | | | | | | | (129) all_157_1 = 0 % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | GROUND_INST: instantiating (2) with 0, all_157_2, all_48_1, % 18.90/3.57 | | | | | | | | simplifying with (15), (125) gives: % 18.90/3.57 | | | | | | | | (130) all_157_2 = 0 % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | GROUND_INST: instantiating (3) with all_87_0, all_157_0, % 18.90/3.57 | | | | | | | | all_87_1, all_48_1, simplifying with (85), (128) % 18.90/3.57 | | | | | | | | gives: % 18.90/3.57 | | | | | | | | (131) all_157_0 = all_87_0 % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | BETA: splitting (127) gives: % 18.90/3.57 | | | | | | | | % 18.90/3.57 | | | | | | | | Case 1: % 18.90/3.57 | | | | | | | | | % 18.90/3.57 | | | | | | | | | (132) ~ (all_157_1 = 0) % 18.90/3.57 | | | | | | | | | % 18.90/3.58 | | | | | | | | | REDUCE: (129), (132) imply: % 18.90/3.58 | | | | | | | | | (133) $false % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | | CLOSE: (133) is inconsistent. % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | Case 2: % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | | (134) ~ (all_157_2 = 0) | all_157_0 = all_87_1 % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | | BETA: splitting (134) gives: % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | | Case 1: % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | (135) ~ (all_157_2 = 0) % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | REDUCE: (130), (135) imply: % 18.90/3.58 | | | | | | | | | | (136) $false % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | CLOSE: (136) is inconsistent. % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | Case 2: % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | (137) all_157_0 = all_87_1 % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | COMBINE_EQS: (131), (137) imply: % 18.90/3.58 | | | | | | | | | | (138) all_87_0 = all_87_1 % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | REDUCE: (82), (138) imply: % 18.90/3.58 | | | | | | | | | | (139) $false % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | | CLOSE: (139) is inconsistent. % 18.90/3.58 | | | | | | | | | | % 18.90/3.58 | | | | | | | | | End of split % 18.90/3.58 | | | | | | | | | % 18.90/3.58 | | | | | | | | End of split % 18.90/3.58 | | | | | | | | % 18.90/3.58 | | | | | | | End of split % 18.90/3.58 | | | | | | | % 18.90/3.58 | | | | | | End of split % 18.90/3.58 | | | | | | % 18.90/3.58 | | | | | End of split % 18.90/3.58 | | | | | % 18.90/3.58 | | | | End of split % 18.90/3.58 | | | | % 18.90/3.58 | | | End of split % 18.90/3.58 | | | % 18.90/3.58 | | End of split % 18.90/3.58 | | % 18.90/3.58 | End of split % 18.90/3.58 | % 18.90/3.58 End of proof % 18.90/3.58 % SZS output end Proof for theBenchmark % 18.90/3.58 % 18.90/3.58 2982ms %------------------------------------------------------------------------------