%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n024.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 04:12:03 EDT 2023 % Result : Theorem 53.32s 8.05s % Output : Proof 77.74s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.13 % Problem : ITP001_1 : TPTP v8.1.2. Released v8.1.0. % 0.07/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n024.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 300 % 0.13/0.35 % DateTime : Sun Aug 27 10:37:38 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.64 ________ _____ % 0.20/0.64 ___ __ \_________(_)________________________________ % 0.20/0.64 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.64 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.64 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.64 % 0.20/0.64 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.64 (2023-06-19) % 0.20/0.64 % 0.20/0.64 (c) Philipp Rümmer, 2009-2023 % 0.20/0.64 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.64 Amanda Stjerna. % 0.20/0.64 Free software under BSD-3-Clause. % 0.20/0.64 % 0.20/0.64 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.64 % 0.20/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.65 Running up to 7 provers in parallel. % 0.20/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 19.28/3.57 Prover 6: Preprocessing ... % 19.28/3.57 Prover 2: Preprocessing ... % 19.28/3.58 Prover 0: Preprocessing ... % 19.28/3.58 Prover 4: Preprocessing ... % 19.28/3.61 Prover 1: Preprocessing ... % 19.83/3.63 Prover 3: Preprocessing ... % 19.83/3.65 Prover 5: Preprocessing ... % 45.35/7.07 Prover 3: Warning: ignoring some quantifiers % 46.47/7.18 Prover 1: Warning: ignoring some quantifiers % 46.47/7.21 Prover 3: Constructing countermodel ... % 47.30/7.24 Prover 6: Proving ... % 48.48/7.45 Prover 1: Constructing countermodel ... % 52.03/7.87 Prover 4: Warning: ignoring some quantifiers % 53.32/8.05 Prover 3: proved (7359ms) % 53.32/8.05 % 53.32/8.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 53.32/8.05 % 53.32/8.05 Prover 6: stopped % 53.32/8.05 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 53.71/8.11 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 53.71/8.22 Prover 0: Proving ... % 53.71/8.22 Prover 0: stopped % 53.71/8.24 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 53.71/8.27 Prover 4: Constructing countermodel ... % 57.98/8.67 Prover 5: Proving ... % 57.98/8.67 Prover 5: stopped % 58.32/8.68 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 65.92/9.78 Prover 10: Preprocessing ... % 66.47/9.80 Prover 7: Preprocessing ... % 68.18/10.04 Prover 8: Preprocessing ... % 68.74/10.12 Prover 11: Preprocessing ... % 71.07/10.44 Prover 1: Found proof (size 18) % 71.07/10.44 Prover 1: proved (9784ms) % 71.07/10.44 Prover 4: stopped % 71.07/10.46 Prover 2: Proving ... % 71.07/10.46 Prover 2: stopped % 72.08/10.59 Prover 10: stopped % 72.47/10.63 Prover 7: stopped % 72.47/10.67 Prover 11: stopped % 76.43/11.56 Prover 8: Warning: ignoring some quantifiers % 76.89/11.67 Prover 8: Constructing countermodel ... % 76.89/11.68 Prover 8: stopped % 76.89/11.68 % 76.89/11.68 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 76.89/11.68 % 76.89/11.69 % SZS output start Proof for theBenchmark % 76.89/11.71 Assumptions after simplification: % 76.89/11.71 --------------------------------- % 76.89/11.71 % 76.89/11.71 (axiom8) % 76.89/11.73 Nat_int_fun$(of_nat$) & A_run_set_a_run_set_a_run_set_fun_fun$(inf$) & ! [v0: % 76.89/11.73 A_constr_list$] : ! [v1: Nat$] : ! [v2: A_TESL_atomic_list$] : ! [v3: % 76.89/11.73 A_TESL_atomic_list$] : ! [v4: A_run_set$] : ! [v5: % 76.89/11.73 A_run_set_a_run_set_fun$] : ! [v6: A_run_set$] : ! [v7: A_run_set$] : ! % 76.89/11.73 [v8: A_run_set_a_run_set_fun$] : ! [v9: int] : ! [v10: Nat$] : ! [v11: % 76.89/11.73 A_run_set$] : ! [v12: A_run_set$] : ( ~ (symbolic_run_interpretation$(v0) = % 76.89/11.73 v4) | ~ (fun_app$g(inf$, v7) = v8) | ~ (fun_app$g(inf$, v4) = v5) | ~ % 76.89/11.73 (fun_app$h(of_nat$, v1) = v9) | ~ (nat$($sum(v9, 1)) = v10) | ~ % 76.89/11.73 (tESL_interpretation_stepwise$(v3, v10) = v11) | ~ % 76.89/11.73 (tESL_interpretation_stepwise$(v2, v1) = v6) | ~ (fun_app$f(v8, v11) = v12) % 76.89/11.73 | ~ (fun_app$f(v5, v6) = v7) | ~ Nat$(v1) | ~ A_TESL_atomic_list$(v3) | % 76.89/11.73 ~ A_TESL_atomic_list$(v2) | ~ A_constr_list$(v0) | ? [v13: % 76.89/11.73 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ? [v14: % 76.89/11.73 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ? [v15: % 76.89/11.73 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 76.89/11.73 (heronConf_interpretation$(v15) = v12 & pair$b(v2, v3) = v13 & pair$a(v1, % 76.89/11.73 v13) = v14 & pair$(v0, v14) = v15 & % 76.89/11.73 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v14) & % 76.89/11.73 A_run_set$(v12) & % 76.89/11.73 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v15) % 76.89/11.73 & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v13))) % 76.89/11.73 % 76.89/11.73 (conjecture5) % 76.89/11.74 Nat_int_fun$(of_nat$) & Nat$(n$) & % 76.89/11.74 A_run_set_a_run_set_a_run_set_fun_fun$(inf$) & A_TESL_atomic_list$(phi$) & % 76.89/11.74 A_TESL_atomic_list$(psi$) & A_constr_list$(gamma$) & Clock$(k_1$) & % 76.89/11.74 Clock$(k_2$) & ? [v0: A_TESL_atomic$] : ? [v1: % 76.89/11.74 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ? [v2: A_TESL_atomic_list$] : % 76.89/11.74 ? [v3: A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ? [v4: % 76.89/11.74 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ? [v5: % 76.89/11.74 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 76.89/11.74 ? [v6: A_run_set$] : ? [v7: A_run_set$] : ? [v8: A_run_set_a_run_set_fun$] : % 76.89/11.74 ? [v9: A_run_set$] : ? [v10: A_run_set$] : ? [v11: % 76.89/11.74 A_run_set_a_run_set_fun$] : ? [v12: int] : ? [v13: Nat$] : ? [v14: % 76.89/11.74 A_run_set$] : ? [v15: A_run_set$] : ( ~ (v15 = v6) & cons$(v0) = v1 & % 76.89/11.74 fun_app$e(v1, psi$) = v2 & strictlyPrecedes$(k_1$, k_2$) = v0 & % 76.89/11.74 heronConf_interpretation$(v5) = v6 & symbolic_run_interpretation$(gamma$) = % 76.89/11.74 v7 & fun_app$g(inf$, v10) = v11 & fun_app$g(inf$, v7) = v8 & % 76.89/11.74 fun_app$h(of_nat$, n$) = v12 & nat$($sum(v12, 1)) = v13 & % 76.89/11.74 tESL_interpretation_stepwise$(v2, n$) = v9 & % 76.89/11.74 tESL_interpretation_stepwise$(phi$, v13) = v14 & fun_app$f(v11, v14) = v15 & % 76.89/11.74 fun_app$f(v8, v9) = v10 & pair$b(v2, phi$) = v3 & pair$a(n$, v3) = v4 & % 76.89/11.74 pair$(gamma$, v4) = v5 & A_TESL_atomic$(v0) & % 76.89/11.74 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v4) & A_run_set$(v15) & % 76.89/11.74 A_run_set$(v14) & A_run_set$(v10) & A_run_set$(v9) & A_run_set$(v7) & % 76.89/11.74 A_run_set$(v6) & A_run_set_a_run_set_fun$(v11) & % 76.89/11.74 A_run_set_a_run_set_fun$(v8) & Nat$(v13) & % 76.89/11.74 A_TESL_atomic_list_a_TESL_atomic_list_fun$(v1) & % 76.89/11.74 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v5) % 76.89/11.74 & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v3) & A_TESL_atomic_list$(v2)) % 76.89/11.74 % 76.89/11.74 (function-axioms) % 77.30/11.78 ! [v0: A_TESL_atomic$] : ! [v1: A_TESL_atomic$] : ! [v2: Clock$] : ! [v3: % 77.30/11.78 A_tag_const$] : ! [v4: Clock$] : (v1 = v0 | ~ (sporadicOn$(v4, v3, v2) = % 77.30/11.78 v1) | ~ (sporadicOn$(v4, v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! % 77.30/11.78 [v1: MultipleValueBool] : ! [v2: % 77.30/11.78 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v3: % 77.30/11.78 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.30/11.78 (less_eq$e(v3, v2) = v1) | ~ (less_eq$e(v3, v2) = v0)) & ! [v0: % 77.30/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.30/11.78 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v3: % 77.30/11.78 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 | ~ % 77.30/11.78 (less_eq$d(v3, v2) = v1) | ~ (less_eq$d(v3, v2) = v0)) & ! [v0: % 77.30/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.30/11.78 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$] % 77.30/11.78 : ! [v3: % 77.30/11.78 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$] % 77.30/11.78 : (v1 = v0 | ~ (less_eq$c(v3, v2) = v1) | ~ (less_eq$c(v3, v2) = v0)) & ! % 77.30/11.78 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_constr_set$] % 77.30/11.78 : ! [v3: A_constr_set$] : (v1 = v0 | ~ (less_eq$b(v3, v2) = v1) | ~ % 77.30/11.78 (less_eq$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.30/11.78 MultipleValueBool] : ! [v2: A_TESL_atomic_set$] : ! [v3: % 77.30/11.78 A_TESL_atomic_set$] : (v1 = v0 | ~ (less_eq$a(v3, v2) = v1) | ~ % 77.30/11.78 (less_eq$a(v3, v2) = v0)) & ! [v0: A_TESL_atomic$] : ! [v1: % 77.30/11.78 A_TESL_atomic$] : ! [v2: Nat$] : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | % 77.30/11.78 ~ (nth$e(v3, v2) = v1) | ~ (nth$e(v3, v2) = v0)) & ! [v0: % 77.30/11.78 A_TESL_atomic_list$] : ! [v1: A_TESL_atomic_list$] : ! [v2: Nat$] : ! % 77.30/11.78 [v3: A_TESL_atomic_list_list$] : (v1 = v0 | ~ (nth$d(v3, v2) = v1) | ~ % 77.30/11.78 (nth$d(v3, v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: Nat$] : ! % 77.30/11.78 [v3: Nat_nat_fun$] : (v1 = v0 | ~ (fun_app$ak(v3, v2) = v1) | ~ % 77.30/11.78 (fun_app$ak(v3, v2) = v0)) & ! [v0: % 77.30/11.78 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v1: % 77.30/11.78 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v2: Nat$] : ! [v3: % 77.30/11.78 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$] : (v1 = v0 | ~ % 77.30/11.78 (fun_app$al(v3, v2) = v1) | ~ (fun_app$al(v3, v2) = v0)) & ! [v0: % 77.30/11.78 A_constr_list$] : ! [v1: A_constr_list$] : ! [v2: Nat$] : ! [v3: % 77.30/11.78 A_constr_list_list$] : (v1 = v0 | ~ (nth$(v3, v2) = v1) | ~ (nth$(v3, v2) % 77.30/11.78 = v0)) & ! [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : % 77.30/11.78 ! [v1: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v2: Nat$] : % 77.30/11.78 ! [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : (v1 = v0 % 77.30/11.78 | ~ (nth$a(v3, v2) = v1) | ~ (nth$a(v3, v2) = v0)) & ! [v0: % 77.30/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_run_set$] : ! % 77.30/11.78 [v3: A_run_set$] : (v1 = v0 | ~ (less_eq$(v3, v2) = v1) | ~ (less_eq$(v3, % 77.30/11.78 v2) = v0)) & ! [v0: A_TESL_atomic_list_set$] : ! [v1: % 77.30/11.78 A_TESL_atomic_list_set$] : ! [v2: A_TESL_atomic$] : ! [v3: % 77.30/11.78 A_TESL_atomic_list_set$] : (v1 = v0 | ~ (shift$(v3, v2) = v1) | ~ % 77.30/11.78 (shift$(v3, v2) = v0)) & ! [v0: A_TESL_atomic_set$] : ! [v1: % 77.30/11.78 A_TESL_atomic_set$] : ! [v2: A_TESL_atomic_list$] : ! [v3: % 77.30/11.78 A_TESL_atomic_list_set$] : (v1 = v0 | ~ (succ$(v3, v2) = v1) | ~ % 77.30/11.78 (succ$(v3, v2) = v0)) & ! [v0: Nat_bool_fun$] : ! [v1: Nat_bool_fun$] : ! % 77.30/11.78 [v2: Nat$] : ! [v3: Nat_nat_bool_fun_fun$] : (v1 = v0 | ~ (fun_app$aj(v3, % 77.30/11.78 v2) = v1) | ~ (fun_app$aj(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 77.30/11.78 ! [v1: MultipleValueBool] : ! [v2: Nat$] : ! [v3: Nat_bool_fun$] : (v1 = v0 % 77.30/11.78 | ~ (fun_app$ai(v3, v2) = v1) | ~ (fun_app$ai(v3, v2) = v0)) & ! [v0: % 77.30/11.78 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_run_set$] : ! % 77.30/11.78 [v3: A_run_set$] : (v1 = v0 | ~ (less$(v3, v2) = v1) | ~ (less$(v3, v2) = % 77.30/11.78 v0)) & ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : ! % 77.30/11.78 [v1: A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : ! [v2: % 77.30/11.78 A_TESL_atomic_list$] : ! [v3: % 77.30/11.78 A_TESL_atomic_list_a_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_fun$] % 77.30/11.79 : (v1 = v0 | ~ (fun_app$ah(v3, v2) = v1) | ~ (fun_app$ah(v3, v2) = v0)) & ! % 77.30/11.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_constr_set$] % 77.30/11.79 : ! [v3: A_constr$] : (v1 = v0 | ~ (member$j(v3, v2) = v1) | ~ % 77.30/11.79 (member$j(v3, v2) = v0)) & ! [v0: A_constr_list$] : ! [v1: A_constr_list$] % 77.30/11.79 : ! [v2: A_constr_list$] : ! [v3: A_constr_list$] : (v1 = v0 | ~ % 77.30/11.79 (append$b(v3, v2) = v1) | ~ (append$b(v3, v2) = v0)) & ! [v0: % 77.30/11.79 A_TESL_atomic_list_list$] : ! [v1: A_TESL_atomic_list_list$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_list$] : ! [v3: A_TESL_atomic_list_list$] : (v1 = v0 | % 77.30/11.79 ~ (append$a(v3, v2) = v1) | ~ (append$a(v3, v2) = v0)) & ! [v0: % 77.30/11.79 A_TESL_atomic_a_TESL_atomic_prod$] : ! [v1: % 77.30/11.79 A_TESL_atomic_a_TESL_atomic_prod$] : ! [v2: A_TESL_atomic$] : ! [v3: % 77.30/11.79 A_TESL_atomic$] : (v1 = v0 | ~ (pair$z(v3, v2) = v1) | ~ (pair$z(v3, v2) = % 77.30/11.79 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.30/11.79 A_TESL_atomic_a_TESL_atomic_prod_set$] : ! [v3: % 77.30/11.79 A_TESL_atomic_a_TESL_atomic_prod$] : (v1 = v0 | ~ (member$i(v3, v2) = v1) | % 77.30/11.79 ~ (member$i(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.30/11.79 MultipleValueBool] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v3: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 | ~ (member$h(v3, % 77.30/11.79 v2) = v1) | ~ (member$h(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 77.30/11.79 ! [v1: MultipleValueBool] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v3: % 77.30/11.79 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : (v1 = v0 | ~ % 77.30/11.79 (member$g(v3, v2) = v1) | ~ (member$g(v3, v2) = v0)) & ! [v0: % 77.30/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.30/11.79 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$] % 77.30/11.79 : ! [v3: % 77.30/11.79 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.30/11.79 (v1 = v0 | ~ (member$f(v3, v2) = v1) | ~ (member$f(v3, v2) = v0)) & ! [v0: % 77.30/11.79 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$] % 77.30/11.79 : ! [v1: % 77.30/11.79 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$] % 77.30/11.79 : ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : ! [v3: % 77.30/11.79 A_constr_list_list$] : (v1 = v0 | ~ (pair$y(v3, v2) = v1) | ~ (pair$y(v3, % 77.30/11.79 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 77.30/11.79 ! [v2: % 77.30/11.79 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$] % 77.30/11.79 : ! [v3: % 77.30/11.79 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod$] % 77.30/11.79 : (v1 = v0 | ~ (member$e(v3, v2) = v1) | ~ (member$e(v3, v2) = v0)) & ! % 77.30/11.79 [v0: A_TESL_atomic_list_nat_fun_list$] : ! [v1: % 77.30/11.79 A_TESL_atomic_list_nat_fun_list$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_nat_fun_list$] : ! [v3: % 77.30/11.79 A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$] : (v1 % 77.30/11.79 = v0 | ~ (fun_app$ag(v3, v2) = v1) | ~ (fun_app$ag(v3, v2) = v0)) & ! % 77.30/11.79 [v0: Nat$] : ! [v1: Nat$] : ! [v2: A_TESL_atomic_list$] : ! [v3: % 77.30/11.79 A_TESL_atomic_list_nat_fun$] : (v1 = v0 | ~ (fun_app$af(v3, v2) = v1) | ~ % 77.30/11.79 (fun_app$af(v3, v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_nat_fun_list$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.30/11.79 (gen_length$d(v3, v2) = v1) | ~ (gen_length$d(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat$] : ! [v1: Nat$] : ! [v2: Nat_list$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.30/11.79 (gen_length$c(v3, v2) = v1) | ~ (gen_length$c(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat$] : ! [v1: Nat$] : ! [v2: A_TESL_atomic_list_list$] : ! [v3: Nat$] : % 77.30/11.79 (v1 = v0 | ~ (gen_length$b(v3, v2) = v1) | ~ (gen_length$b(v3, v2) = v0)) & % 77.30/11.79 ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: A_constr_list_list$] : ! [v3: Nat$] : % 77.30/11.79 (v1 = v0 | ~ (gen_length$a(v3, v2) = v1) | ~ (gen_length$a(v3, v2) = v0)) & % 77.30/11.79 ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: Nat_a_TESL_atomic_prod_list$] : ! [v3: % 77.30/11.79 Nat$] : (v1 = v0 | ~ (gen_length$(v3, v2) = v1) | ~ (gen_length$(v3, v2) = % 77.30/11.79 v0)) & ! [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] % 77.30/11.79 : ! [v1: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : ! [v2: % 77.30/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : ! [v3: % 77.30/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 | ~ % 77.30/11.79 (cons$r(v3, v2) = v1) | ~ (cons$r(v3, v2) = v0)) & ! [v0: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : ! [v1: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : ! [v3: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : (v1 = v0 | ~ (cons$q(v3, v2) % 77.30/11.79 = v1) | ~ (cons$q(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : ! [v3: Nat$] : (v1 = v0 % 77.30/11.79 | ~ (enumerate$f(v3, v2) = v1) | ~ (enumerate$f(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_prod_list$] : ! [v1: Nat_a_TESL_atomic_prod_list$] : ! % 77.30/11.79 [v2: A_TESL_atomic_list$] : ! [v3: Nat$] : (v1 = v0 | ~ (enumerate$e(v3, v2) % 77.30/11.79 = v1) | ~ (enumerate$e(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod$] : ! [v2: A_TESL_atomic_list_nat_fun$] % 77.30/11.79 : ! [v3: Nat$] : (v1 = v0 | ~ (pair$x(v3, v2) = v1) | ~ (pair$x(v3, v2) = % 77.30/11.79 v0)) & ! [v0: Nat_a_TESL_atomic_list_nat_fun_prod_list$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod_list$] : ! [v2: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod_list$] : ! [v3: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod$] : (v1 = v0 | ~ (cons$p(v3, v2) = v1) % 77.30/11.79 | ~ (cons$p(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod_list$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_nat_fun_prod_list$] : ! [v2: % 77.30/11.79 A_TESL_atomic_list_nat_fun_list$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.30/11.79 (enumerate$d(v3, v2) = v1) | ~ (enumerate$d(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_nat_prod$] : ! [v1: Nat_nat_prod$] : ! [v2: Nat$] : ! [v3: Nat$] : % 77.30/11.79 (v1 = v0 | ~ (pair$w(v3, v2) = v1) | ~ (pair$w(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_nat_prod_list$] : ! [v1: Nat_nat_prod_list$] : ! [v2: % 77.30/11.79 Nat_nat_prod_list$] : ! [v3: Nat_nat_prod$] : (v1 = v0 | ~ (cons$o(v3, v2) % 77.30/11.79 = v1) | ~ (cons$o(v3, v2) = v0)) & ! [v0: Nat_nat_prod_list$] : ! [v1: % 77.30/11.79 Nat_nat_prod_list$] : ! [v2: Nat_list$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.30/11.79 (enumerate$c(v3, v2) = v1) | ~ (enumerate$c(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_prod$] : ! [v1: Nat_a_TESL_atomic_list_prod$] : ! % 77.30/11.79 [v2: A_TESL_atomic_list$] : ! [v3: Nat$] : (v1 = v0 | ~ (pair$v(v3, v2) = % 77.30/11.79 v1) | ~ (pair$v(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_prod_list$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_prod_list$] : ! [v2: % 77.30/11.79 Nat_a_TESL_atomic_list_prod_list$] : ! [v3: Nat_a_TESL_atomic_list_prod$] : % 77.30/11.79 (v1 = v0 | ~ (cons$n(v3, v2) = v1) | ~ (cons$n(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_TESL_atomic_list_prod_list$] : ! [v1: % 77.30/11.79 Nat_a_TESL_atomic_list_prod_list$] : ! [v2: A_TESL_atomic_list_list$] : ! % 77.30/11.79 [v3: Nat$] : (v1 = v0 | ~ (enumerate$b(v3, v2) = v1) | ~ (enumerate$b(v3, % 77.30/11.79 v2) = v0)) & ! [v0: Nat_a_constr_list_prod$] : ! [v1: % 77.30/11.79 Nat_a_constr_list_prod$] : ! [v2: A_constr_list$] : ! [v3: Nat$] : (v1 = % 77.30/11.79 v0 | ~ (pair$u(v3, v2) = v1) | ~ (pair$u(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_constr_list_prod_list$] : ! [v1: Nat_a_constr_list_prod_list$] : ! % 77.30/11.79 [v2: Nat_a_constr_list_prod_list$] : ! [v3: Nat_a_constr_list_prod$] : (v1 = % 77.30/11.79 v0 | ~ (cons$m(v3, v2) = v1) | ~ (cons$m(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_a_constr_list_prod_list$] : ! [v1: Nat_a_constr_list_prod_list$] : ! % 77.30/11.79 [v2: A_constr_list_list$] : ! [v3: Nat$] : (v1 = v0 | ~ (enumerate$a(v3, v2) % 77.30/11.79 = v1) | ~ (enumerate$a(v3, v2) = v0)) & ! [v0: % 77.30/11.79 Nat_nat_a_TESL_atomic_prod_prod$] : ! [v1: % 77.30/11.79 Nat_nat_a_TESL_atomic_prod_prod$] : ! [v2: Nat_a_TESL_atomic_prod$] : ! % 77.30/11.79 [v3: Nat$] : (v1 = v0 | ~ (pair$t(v3, v2) = v1) | ~ (pair$t(v3, v2) = v0)) & % 77.49/11.79 ! [v0: Nat_nat_a_TESL_atomic_prod_prod_list$] : ! [v1: % 77.49/11.79 Nat_nat_a_TESL_atomic_prod_prod_list$] : ! [v2: % 77.49/11.79 Nat_nat_a_TESL_atomic_prod_prod_list$] : ! [v3: % 77.49/11.79 Nat_nat_a_TESL_atomic_prod_prod$] : (v1 = v0 | ~ (cons$l(v3, v2) = v1) | ~ % 77.49/11.79 (cons$l(v3, v2) = v0)) & ! [v0: Nat_nat_a_TESL_atomic_prod_prod_list$] : ! % 77.49/11.79 [v1: Nat_nat_a_TESL_atomic_prod_prod_list$] : ! [v2: % 77.49/11.79 Nat_a_TESL_atomic_prod_list$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.49/11.79 (enumerate$(v3, v2) = v1) | ~ (enumerate$(v3, v2) = v0)) & ! [v0: % 77.49/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_prod$] % 77.49/11.79 : ! [v1: % 77.49/11.79 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun_nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_prod$] % 77.49/11.79 : ! [v2: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : ! % 77.49/11.79 [v3: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$] : (v1 = v0 | ~ % 77.49/11.79 (pair$s(v3, v2) = v1) | ~ (pair$s(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_fun_a_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_prod$] % 77.49/11.79 : ! [v1: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_fun_a_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_prod$] % 77.49/11.79 : ! [v2: A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : (v1 = v0 | ~ (pair$r(v3, v2) % 77.49/11.79 = v1) | ~ (pair$r(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$] : ! % 77.49/11.79 [v1: A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_prod$] : % 77.49/11.79 ! [v2: A_TESL_atomic_list_nat_fun_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_nat_fun_list$] : (v1 = v0 | ~ (pair$q(v3, v2) = v1) | ~ % 77.49/11.79 (pair$q(v3, v2) = v0)) & ! [v0: Nat_list_nat_list_prod$] : ! [v1: % 77.49/11.79 Nat_list_nat_list_prod$] : ! [v2: Nat_list$] : ! [v3: Nat_list$] : (v1 = % 77.49/11.79 v0 | ~ (pair$p(v3, v2) = v1) | ~ (pair$p(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_constr_list_list_a_constr_list_list_prod$] : ! [v1: % 77.49/11.79 A_constr_list_list_a_constr_list_list_prod$] : ! [v2: A_constr_list_list$] % 77.49/11.79 : ! [v3: A_constr_list_list$] : (v1 = v0 | ~ (pair$o(v3, v2) = v1) | ~ % 77.49/11.79 (pair$o(v3, v2) = v0)) & ! [v0: % 77.49/11.79 Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$] : ! [v1: % 77.49/11.79 Nat_a_TESL_atomic_prod_list_nat_a_TESL_atomic_prod_list_prod$] : ! [v2: % 77.49/11.79 Nat_a_TESL_atomic_prod_list$] : ! [v3: Nat_a_TESL_atomic_prod_list$] : (v1 % 77.49/11.79 = v0 | ~ (pair$n(v3, v2) = v1) | ~ (pair$n(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_nat_prod$] : ! [v1: A_TESL_atomic_list_nat_prod$] : ! % 77.49/11.79 [v2: Nat$] : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | ~ (pair$m(v3, v2) = % 77.49/11.79 v1) | ~ (pair$m(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$] % 77.49/11.79 : ! [v1: % 77.49/11.79 A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun_a_TESL_atomic_list_nat_fun_list_prod$] % 77.49/11.79 : ! [v2: A_TESL_atomic_list_nat_fun_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_nat_fun_a_TESL_atomic_list_nat_fun_bool_fun_fun$] : (v1 = % 77.49/11.79 v0 | ~ (pair$l(v3, v2) = v1) | ~ (pair$l(v3, v2) = v0)) & ! [v0: % 77.49/11.79 Nat_nat_bool_fun_fun_nat_list_prod$] : ! [v1: % 77.49/11.79 Nat_nat_bool_fun_fun_nat_list_prod$] : ! [v2: Nat_list$] : ! [v3: % 77.49/11.79 Nat_nat_bool_fun_fun$] : (v1 = v0 | ~ (pair$k(v3, v2) = v1) | ~ % 77.49/11.79 (pair$k(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$] % 77.49/11.79 : ! [v1: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun_a_TESL_atomic_list_list_prod$] % 77.49/11.79 : ! [v2: A_TESL_atomic_list_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.79 (pair$j(v3, v2) = v1) | ~ (pair$j(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$] : ! [v1: % 77.49/11.79 A_constr_list_a_constr_list_bool_fun_fun_a_constr_list_list_prod$] : ! [v2: % 77.49/11.79 A_constr_list_list$] : ! [v3: A_constr_list_a_constr_list_bool_fun_fun$] : % 77.49/11.79 (v1 = v0 | ~ (pair$i(v3, v2) = v1) | ~ (pair$i(v3, v2) = v0)) & ! [v0: % 77.49/11.79 Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$] % 77.49/11.79 : ! [v1: % 77.49/11.79 Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun_nat_a_TESL_atomic_prod_list_prod$] % 77.49/11.79 : ! [v2: Nat_a_TESL_atomic_prod_list$] : ! [v3: % 77.49/11.79 Nat_a_TESL_atomic_prod_nat_a_TESL_atomic_prod_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.79 (pair$h(v3, v2) = v1) | ~ (pair$h(v3, v2) = v0)) & ! [v0: % 77.49/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.79 A_TESL_atomic_list_nat_fun_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_nat_fun_list_bool_fun$] : (v1 = v0 | ~ (fun_app$ae(v3, % 77.49/11.79 v2) = v1) | ~ (fun_app$ae(v3, v2) = v0)) & ! [v0: MultipleValueBool] : % 77.49/11.79 ! [v1: MultipleValueBool] : ! [v2: Nat_a_TESL_atomic_prod_list$] : ! [v3: % 77.49/11.79 Nat_a_TESL_atomic_prod_list_bool_fun$] : (v1 = v0 | ~ (fun_app$ad(v3, v2) = % 77.49/11.79 v1) | ~ (fun_app$ad(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_list_bool_fun$] : ! [v1: % 77.49/11.79 A_TESL_atomic_list_list_bool_fun$] : ! [v2: A_TESL_atomic_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_a_TESL_atomic_list_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.79 (fun_app$ac(v3, v2) = v1) | ~ (fun_app$ac(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_constr_list_list_bool_fun$] : ! [v1: A_constr_list_list_bool_fun$] : ! % 77.49/11.79 [v2: A_TESL_atomic_list$] : ! [v3: % 77.49/11.79 A_TESL_atomic_list_a_constr_list_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.79 (fun_app$ab(v3, v2) = v1) | ~ (fun_app$ab(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_TESL_atomic_list_list_bool_fun$] : ! [v1: % 77.49/11.79 A_TESL_atomic_list_list_bool_fun$] : ! [v2: Nat_list$] : ! [v3: % 77.49/11.79 Nat_list_a_TESL_atomic_list_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.79 (fun_app$aa(v3, v2) = v1) | ~ (fun_app$aa(v3, v2) = v0)) & ! [v0: % 77.49/11.79 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.79 A_TESL_atomic_list_list$] : ! [v3: A_TESL_atomic_list_list_bool_fun$] : (v1 % 77.49/11.79 = v0 | ~ (fun_app$z(v3, v2) = v1) | ~ (fun_app$z(v3, v2) = v0)) & ! [v0: % 77.49/11.79 A_constr_list_list_bool_fun$] : ! [v1: A_constr_list_list_bool_fun$] : ! % 77.49/11.80 [v2: Nat_list$] : ! [v3: Nat_list_a_constr_list_list_bool_fun_fun$] : (v1 = % 77.49/11.80 v0 | ~ (fun_app$y(v3, v2) = v1) | ~ (fun_app$y(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_constr_list_list$] : ! [v3: A_constr_list_list_bool_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$x(v3, v2) = v1) | ~ (fun_app$x(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list_bool_fun$] : ! [v1: Nat_list_bool_fun$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list_list_nat_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$w(v3, v2) = v1) | ~ (fun_app$w(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list_bool_fun$] : ! [v1: Nat_list_bool_fun$] : ! [v2: % 77.49/11.80 A_constr_list_list$] : ! [v3: A_constr_list_list_nat_list_bool_fun_fun$] : % 77.49/11.80 (v1 = v0 | ~ (fun_app$v(v3, v2) = v1) | ~ (fun_app$v(v3, v2) = v0)) & ! % 77.49/11.80 [v0: A_TESL_atomic_list_bool_fun$] : ! [v1: A_TESL_atomic_list_bool_fun$] : % 77.49/11.80 ! [v2: Nat_list$] : ! [v3: Nat_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = % 77.49/11.80 v0 | ~ (fun_app$u(v3, v2) = v1) | ~ (fun_app$u(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list_bool_fun$] : ! [v1: Nat_list_bool_fun$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list$] : ! [v3: A_TESL_atomic_list_nat_list_bool_fun_fun$] : % 77.49/11.80 (v1 = v0 | ~ (fun_app$t(v3, v2) = v1) | ~ (fun_app$t(v3, v2) = v0)) & ! % 77.49/11.80 [v0: Nat_list_bool_fun$] : ! [v1: Nat_list_bool_fun$] : ! [v2: Nat_list$] : % 77.49/11.80 ! [v3: Nat_list_nat_list_bool_fun_fun$] : (v1 = v0 | ~ (fun_app$s(v3, v2) = % 77.49/11.80 v1) | ~ (fun_app$s(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.49/11.80 MultipleValueBool] : ! [v2: Nat_list$] : ! [v3: Nat_list_bool_fun$] : (v1 % 77.49/11.80 = v0 | ~ (fun_app$r(v3, v2) = v1) | ~ (fun_app$r(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_bool_fun$] : ! [v1: A_TESL_atomic_list_bool_fun$] : ! % 77.49/11.80 [v2: A_TESL_atomic_list$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_bool_fun_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$q(v3, v2) = v1) | ~ (fun_app$q(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_constr_list$] : ! [v1: A_constr_list$] : ! [v2: A_constr_list$] : ! % 77.49/11.80 [v3: A_constr$] : (v1 = v0 | ~ (cons$k(v3, v2) = v1) | ~ (cons$k(v3, v2) = % 77.49/11.80 v0)) & ! [v0: A_TESL_atomic_list_nat_fun_list_list$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list_list$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list_list$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list$] : (v1 = v0 | ~ (cons$j(v3, v2) = v1) | ~ % 77.49/11.80 (cons$j(v3, v2) = v0)) & ! [v0: Nat_list_list$] : ! [v1: Nat_list_list$] : % 77.49/11.80 ! [v2: Nat_list_list$] : ! [v3: Nat_list$] : (v1 = v0 | ~ (cons$i(v3, v2) = % 77.49/11.80 v1) | ~ (cons$i(v3, v2) = v0)) & ! [v0: A_TESL_atomic_list_list_list$] : % 77.49/11.80 ! [v1: A_TESL_atomic_list_list_list$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list_list$] : ! [v3: A_TESL_atomic_list_list$] : (v1 = % 77.49/11.80 v0 | ~ (cons$h(v3, v2) = v1) | ~ (cons$h(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_constr_list_list_list$] : ! [v1: A_constr_list_list_list$] : ! [v2: % 77.49/11.80 A_constr_list_list_list$] : ! [v3: A_constr_list_list$] : (v1 = v0 | ~ % 77.49/11.80 (cons$g(v3, v2) = v1) | ~ (cons$g(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_a_TESL_atomic_prod_list_list$] : ! [v1: % 77.49/11.80 Nat_a_TESL_atomic_prod_list_list$] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_prod_list_list$] : ! [v3: Nat_a_TESL_atomic_prod_list$] : % 77.49/11.80 (v1 = v0 | ~ (cons$f(v3, v2) = v1) | ~ (cons$f(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_run_set$] : ! [v1: A_run_set$] : ! [v2: Nat$] : ! [v3: A_TESL_atomic$] % 77.49/11.80 : (v1 = v0 | ~ (tESL_interpretation_atomic_stepwise$(v3, v2) = v1) | ~ % 77.49/11.80 (tESL_interpretation_atomic_stepwise$(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list$] : ! [v1: A_TESL_atomic_list$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list$] : ! [v3: A_TESL_atomic_list_a_TESL_atomic_list_fun$] : % 77.49/11.80 (v1 = v0 | ~ (fun_app$e(v3, v2) = v1) | ~ (fun_app$e(v3, v2) = v0)) & ! % 77.49/11.80 [v0: A_TESL_atomic_list_nat_fun_list$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list$] : ! [v3: A_TESL_atomic_list_nat_fun$] : % 77.49/11.80 (v1 = v0 | ~ (cons$e(v3, v2) = v1) | ~ (cons$e(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list$] : ! [v1: Nat_list$] : ! [v2: Nat_list$] : ! [v3: Nat$] : (v1 = % 77.49/11.80 v0 | ~ (cons$d(v3, v2) = v1) | ~ (cons$d(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_list$] : ! [v1: A_TESL_atomic_list_list$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list$] : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | ~ % 77.49/11.80 (cons$c(v3, v2) = v1) | ~ (cons$c(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_constr_list_list$] : ! [v1: A_constr_list_list$] : ! [v2: % 77.49/11.80 A_constr_list_list$] : ! [v3: A_constr_list$] : (v1 = v0 | ~ (cons$b(v3, % 77.49/11.80 v2) = v1) | ~ (cons$b(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_a_TESL_atomic_prod_list$] : ! [v1: Nat_a_TESL_atomic_prod_list$] : ! % 77.49/11.80 [v2: Nat_a_TESL_atomic_prod_list$] : ! [v3: Nat_a_TESL_atomic_prod$] : (v1 = % 77.49/11.80 v0 | ~ (cons$a(v3, v2) = v1) | ~ (cons$a(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_bool_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$p(v3, v2) = v1) | ~ (fun_app$p(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] : ! [v3: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod_bool_fun$] % 77.49/11.80 : (v1 = v0 | ~ (fun_app$o(v3, v2) = v1) | ~ (fun_app$o(v3, v2) = v0)) & ! % 77.49/11.80 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] % 77.49/11.80 : ! [v3: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] % 77.49/11.80 : (v1 = v0 | ~ (fun_app$n(v3, v2) = v1) | ~ (fun_app$n(v3, v2) = v0)) & ! % 77.49/11.80 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_prod$] : ! [v3: Nat_a_TESL_atomic_prod_bool_fun$] : (v1 = % 77.49/11.80 v0 | ~ (fun_app$m(v3, v2) = v1) | ~ (fun_app$m(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_bool_fun$] : (v1 = v0 | % 77.49/11.80 ~ (fun_app$l(v3, v2) = v1) | ~ (fun_app$l(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] : ! [v1: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_bool_fun_fun_a_TESL_atomic_list_prod$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list$] : ! [v3: A_TESL_atomic_a_TESL_atomic_bool_fun_fun$] : % 77.49/11.80 (v1 = v0 | ~ (pair$g(v3, v2) = v1) | ~ (pair$g(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] % 77.49/11.80 : ! [v1: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_fun_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] % 77.49/11.80 : ! [v2: A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v3: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_fun$] : (v1 = v0 | ~ (pair$f(v3, v2) = v1) | ~ % 77.49/11.80 (pair$f(v3, v2) = v0)) & ! [v0: Nat_a_TESL_atomic_prod$] : ! [v1: % 77.49/11.80 Nat_a_TESL_atomic_prod$] : ! [v2: A_TESL_atomic$] : ! [v3: Nat$] : (v1 = % 77.49/11.80 v0 | ~ (pair$e(v3, v2) = v1) | ~ (pair$e(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : ! [v1: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : ! [v3: Nat_list$] : (v1 % 77.49/11.80 = v0 | ~ (pair$d(v3, v2) = v1) | ~ (pair$d(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list$] : ! [v3: A_TESL_atomic_list_list$] : (v1 = v0 | % 77.49/11.80 ~ (pair$c(v3, v2) = v1) | ~ (pair$c(v3, v2) = v0)) & ! [v0: Int_int_fun$] % 77.49/11.80 : ! [v1: Int_int_fun$] : ! [v2: int] : ! [v3: Int_int_int_fun_fun$] : (v1 = % 77.49/11.80 v0 | ~ (fun_app$j(v3, v2) = v1) | ~ (fun_app$j(v3, v2) = v0)) & ! [v0: % 77.49/11.80 int] : ! [v1: int] : ! [v2: int] : ! [v3: Int_int_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$k(v3, v2) = v1) | ~ (fun_app$k(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_set$] : ! [v1: A_TESL_atomic_list_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_set$] : ! [v3: A_TESL_atomic_list_set$] : (v1 = v0 | ~ % 77.49/11.80 (inf$d(v3, v2) = v1) | ~ (inf$d(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_set$] : ! [v1: A_TESL_atomic_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_set$] : ! [v3: A_TESL_atomic_set$] : (v1 = v0 | ~ (inf$c(v3, % 77.49/11.80 v2) = v1) | ~ (inf$c(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v1: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v3: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 | ~ % 77.49/11.80 (inf$b(v3, v2) = v1) | ~ (inf$b(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.80 [v1: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.80 [v2: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.80 [v3: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : (v1 % 77.49/11.80 = v0 | ~ (inf$a(v3, v2) = v1) | ~ (inf$a(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic$] : ! [v1: A_TESL_atomic$] : ! [v2: Clock$] : ! [v3: % 77.49/11.80 Clock$] : (v1 = v0 | ~ (strictlyPrecedes$(v3, v2) = v1) | ~ % 77.49/11.80 (strictlyPrecedes$(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.49/11.80 MultipleValueBool] : ! [v2: % 77.49/11.80 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.80 ! [v3: % 77.49/11.80 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.80 : (v1 = v0 | ~ (fun_app$i(v3, v2) = v1) | ~ (fun_app$i(v3, v2) = v0)) & ! % 77.49/11.80 [v0: A_run_set_a_run_set_fun$] : ! [v1: A_run_set_a_run_set_fun$] : ! [v2: % 77.49/11.80 A_run_set$] : ! [v3: A_run_set_a_run_set_a_run_set_fun_fun$] : (v1 = v0 | % 77.49/11.80 ~ (fun_app$g(v3, v2) = v1) | ~ (fun_app$g(v3, v2) = v0)) & ! [v0: int] : % 77.49/11.80 ! [v1: int] : ! [v2: Nat$] : ! [v3: Nat_int_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$h(v3, v2) = v1) | ~ (fun_app$h(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_run_set$] : ! [v1: A_run_set$] : ! [v2: Nat$] : ! [v3: % 77.49/11.80 A_TESL_atomic_list$] : (v1 = v0 | ~ (tESL_interpretation_stepwise$(v3, v2) % 77.49/11.80 = v1) | ~ (tESL_interpretation_stepwise$(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_run_set$] : ! [v1: A_run_set$] : ! [v2: A_run_set$] : ! [v3: % 77.49/11.80 A_run_set_a_run_set_fun$] : (v1 = v0 | ~ (fun_app$f(v3, v2) = v1) | ~ % 77.49/11.80 (fun_app$f(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v2: A_TESL_atomic_list$] % 77.49/11.80 : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | ~ (pair$b(v3, v2) = v1) | ~ % 77.49/11.80 (pair$b(v3, v2) = v0)) & ! [v0: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v1: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v3: Nat$] : (v1 = v0 | ~ % 77.49/11.80 (pair$a(v3, v2) = v1) | ~ (pair$a(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.80 ! [v1: % 77.49/11.80 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.80 ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v3: % 77.49/11.80 A_constr_list$] : (v1 = v0 | ~ (pair$(v3, v2) = v1) | ~ (pair$(v3, v2) = % 77.49/11.80 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_run$] : ! [v3: A_run_bool_fun$] : (v1 = v0 | ~ (fun_app$d(v3, v2) = v1) % 77.49/11.80 | ~ (fun_app$d(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.49/11.80 MultipleValueBool] : ! [v2: A_run_set$] : ! [v3: A_run$] : (v1 = v0 | ~ % 77.49/11.80 (member$d(v3, v2) = v1) | ~ (member$d(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_list$] : ! [v3: A_TESL_atomic_list_bool_fun$] : (v1 = v0 | ~ % 77.49/11.80 (fun_app$c(v3, v2) = v1) | ~ (fun_app$c(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_set$] : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | ~ % 77.49/11.80 (member$c(v3, v2) = v1) | ~ (member$c(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: A_TESL_atomic$] : % 77.49/11.80 ! [v3: A_TESL_atomic_bool_fun$] : (v1 = v0 | ~ (fun_app$b(v3, v2) = v1) | ~ % 77.49/11.80 (fun_app$b(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.49/11.80 MultipleValueBool] : ! [v2: A_TESL_atomic_set$] : ! [v3: A_TESL_atomic$] : % 77.49/11.80 (v1 = v0 | ~ (member$b(v3, v2) = v1) | ~ (member$b(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v3: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | % 77.49/11.80 ~ (fun_app$a(v3, v2) = v1) | ~ (fun_app$a(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v3: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : (v1 = v0 | ~ % 77.49/11.80 (member$a(v3, v2) = v1) | ~ (member$a(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : ! [v3: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$] : % 77.49/11.80 (v1 = v0 | ~ (fun_app$(v3, v2) = v1) | ~ (fun_app$(v3, v2) = v0)) & ! [v0: % 77.49/11.80 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 77.49/11.80 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.80 [v3: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod$] : (v1 = % 77.49/11.80 v0 | ~ (member$(v3, v2) = v1) | ~ (member$(v3, v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v2: Nat$] : (v1 = v0 | ~ % 77.49/11.80 (take$(v2) = v1) | ~ (take$(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! % 77.49/11.80 [v2: Nat_list$] : (v1 = v0 | ~ (size$d(v2) = v1) | ~ (size$d(v2) = v0)) & ! % 77.49/11.80 [v0: Nat$] : ! [v1: Nat$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : (v1 = v0 | ~ % 77.49/11.80 (size$e(v2) = v1) | ~ (size$e(v2) = v0)) & ! [v0: Nat_nat_fun$] : ! [v1: % 77.49/11.80 Nat_nat_fun$] : ! [v2: Nat_list$] : (v1 = v0 | ~ (nth$b(v2) = v1) | ~ % 77.49/11.80 (nth$b(v2) = v0)) & ! [v0: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$] : ! [v1: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_fun$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_list$] : (v1 = v0 | ~ (nth$c(v2) % 77.49/11.80 = v1) | ~ (nth$c(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: % 77.49/11.80 A_constr_list_list$] : (v1 = v0 | ~ (size$b(v2) = v1) | ~ (size$b(v2) = % 77.49/11.80 v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: % 77.49/11.80 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list$] : (v1 = v0 | ~ % 77.49/11.80 (size$c(v2) = v1) | ~ (size$c(v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_nat_fun_list$] : (v1 = v0 | ~ (measures$(v2) = v1) | ~ % 77.49/11.80 (measures$(v2) = v0)) & ! [v0: A_TESL_atomic$] : ! [v1: A_TESL_atomic$] : % 77.49/11.80 ! [v2: A_TESL_atomic_set$] : (v1 = v0 | ~ (the_elem$(v2) = v1) | ~ % 77.49/11.80 (the_elem$(v2) = v0)) & ! [v0: A_TESL_atomic_list_list$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_list$] : ! [v2: A_TESL_atomic_list$] : (v1 = v0 | ~ % 77.49/11.80 (subseqs$(v2) = v1) | ~ (subseqs$(v2) = v0)) & ! [v0: A_constr_set$] : ! % 77.49/11.80 [v1: A_constr_set$] : ! [v2: A_constr_list$] : (v1 = v0 | ~ (set$b(v2) = v1) % 77.49/11.80 | ~ (set$b(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_list$] : (v1 = v0 | ~ (size$a(v2) = v1) | ~ (size$a(v2) % 77.49/11.80 = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ (lex$a(v2) % 77.49/11.80 = v1) | ~ (lex$a(v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 | ~ (lex$(v2) = v1) | ~ % 77.49/11.80 (lex$(v2) = v0)) & ! [v0: A_TESL_atomic_set$] : ! [v1: A_TESL_atomic_set$] % 77.49/11.80 : ! [v2: A_TESL_atomic_list$] : (v1 = v0 | ~ (set$a(v2) = v1) | ~ % 77.49/11.80 (set$a(v2) = v0)) & ! [v0: A_TESL_atomic_list_set$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_set$] : ! [v2: A_TESL_atomic_list_list$] : (v1 = v0 | ~ % 77.49/11.80 (set$(v2) = v1) | ~ (set$(v2) = v0)) & ! [v0: A_TESL_atomic$] : ! [v1: % 77.49/11.80 A_TESL_atomic$] : ! [v2: A_TESL_atomic_list$] : (v1 = v0 | ~ (last$(v2) = % 77.49/11.80 v1) | ~ (last$(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 77.49/11.80 MultipleValueBool] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.49/11.80 (irrefl$a(v2) = v1) | ~ (irrefl$a(v2) = v0)) & ! [v0: MultipleValueBool] : % 77.49/11.80 ! [v1: MultipleValueBool] : ! [v2: A_TESL_atomic_a_TESL_atomic_prod_set$] : % 77.49/11.80 (v1 = v0 | ~ (irrefl$(v2) = v1) | ~ (irrefl$(v2) = v0)) & ! [v0: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v1: % 77.49/11.80 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v2: % 77.49/11.80 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (lenlex$a(v2) = v1) | ~ (lenlex$a(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 | ~ (lenlex$(v2) = v1) | % 77.49/11.81 ~ (lenlex$(v2) = v0)) & ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_fun$] % 77.49/11.81 : ! [v1: A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v2: % 77.49/11.81 A_TESL_atomic_list$] : (v1 = v0 | ~ (append$(v2) = v1) | ~ (append$(v2) = % 77.49/11.81 v0)) & ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 | ~ (listrel1$a(v2) = v1) % 77.49/11.81 | ~ (listrel1$a(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (listrel1$(v2) = v1) | ~ (listrel1$(v2) = v0)) & ! [v0: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v1: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.81 (v1 = v0 | ~ (operational_semantics_elim$(v2) = v1) | ~ % 77.49/11.81 (operational_semantics_elim$(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (lexord$a(v2) = v1) | ~ (lexord$a(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 | ~ (lexord$(v2) = v1) | % 77.49/11.81 ~ (lexord$(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_a_TESL_atomic_prod_set$] : (v1 = v0 | ~ (listrel$c(v2) = v1) % 77.49/11.81 | ~ (listrel$c(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_list_a_TESL_atomic_list_list_prod_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (listrel$b(v2) = v1) | ~ (listrel$b(v2) = v0)) & ! [v0: % 77.49/11.81 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.81 [v1: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.81 [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (listrel$a(v2) = v1) | ~ (listrel$a(v2) = v0)) & ! [v0: % 77.49/11.81 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$] % 77.49/11.81 : ! [v1: % 77.49/11.81 A_constr_list_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_list_prod_set$] % 77.49/11.81 : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_set$] % 77.49/11.81 : (v1 = v0 | ~ (listrel$(v2) = v1) | ~ (listrel$(v2) = v0)) & ! [v0: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v1: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.81 (v1 = v0 | ~ (operational_semantics_step$(v2) = v1) | ~ % 77.49/11.81 (operational_semantics_step$(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v2: A_TESL_atomic$] : (v1 % 77.49/11.81 = v0 | ~ (insert$a(v2) = v1) | ~ (insert$a(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$] : ! % 77.49/11.81 [v1: A_TESL_atomic_list_nat_fun_list_a_TESL_atomic_list_nat_fun_list_fun$] : % 77.49/11.81 ! [v2: A_TESL_atomic_list_nat_fun$] : (v1 = v0 | ~ (insert$(v2) = v1) | ~ % 77.49/11.81 (insert$(v2) = v0)) & ! [v0: A_TESL_atomic_list_nat_fun$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_nat_fun$] : ! [v2: Nat$] : (v1 = v0 | ~ % 77.49/11.81 (gen_length$e(v2) = v1) | ~ (gen_length$e(v2) = v0)) & ! [v0: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v1: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.81 (v1 = v0 | ~ (operational_semantics_intro$(v2) = v1) | ~ % 77.49/11.81 (operational_semantics_intro$(v2) = v0)) & ! [v0: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v1: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun$] % 77.49/11.81 : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_a_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod_bool_fun_fun$] % 77.49/11.81 : (v1 = v0 | ~ (accp$(v2) = v1) | ~ (accp$(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v1: % 77.49/11.81 A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ! [v2: A_TESL_atomic$] : (v1 % 77.49/11.81 = v0 | ~ (cons$(v2) = v1) | ~ (cons$(v2) = v0)) & ! [v0: A_run_set$] : ! % 77.49/11.81 [v1: A_run_set$] : ! [v2: A_run_bool_fun$] : (v1 = v0 | ~ (collect$d(v2) = % 77.49/11.81 v1) | ~ (collect$d(v2) = v0)) & ! [v0: A_TESL_atomic_list_set$] : ! % 77.49/11.81 [v1: A_TESL_atomic_list_set$] : ! [v2: A_TESL_atomic_list_bool_fun$] : (v1 = % 77.49/11.81 v0 | ~ (collect$c(v2) = v1) | ~ (collect$c(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_set$] : ! [v1: A_TESL_atomic_set$] : ! [v2: % 77.49/11.81 A_TESL_atomic_bool_fun$] : (v1 = v0 | ~ (collect$b(v2) = v1) | ~ % 77.49/11.81 (collect$b(v2) = v0)) & ! [v0: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v1: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : ! [v2: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : (v1 = v0 | % 77.49/11.81 ~ (collect$a(v2) = v1) | ~ (collect$a(v2) = v0)) & ! [v0: % 77.49/11.81 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.81 [v1: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : ! % 77.49/11.81 [v2: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$] % 77.49/11.81 : (v1 = v0 | ~ (collect$(v2) = v1) | ~ (collect$(v2) = v0)) & ! [v0: % 77.49/11.81 A_run_set$] : ! [v1: A_run_set$] : ! [v2: % 77.49/11.81 A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] : % 77.49/11.81 (v1 = v0 | ~ (heronConf_interpretation$(v2) = v1) | ~ % 77.49/11.81 (heronConf_interpretation$(v2) = v0)) & ! [v0: A_run_set$] : ! [v1: % 77.49/11.81 A_run_set$] : ! [v2: A_constr_list$] : (v1 = v0 | ~ % 77.49/11.81 (symbolic_run_interpretation$(v2) = v1) | ~ % 77.49/11.81 (symbolic_run_interpretation$(v2) = v0)) & ! [v0: Nat$] : ! [v1: Nat$] : % 77.49/11.81 ! [v2: int] : (v1 = v0 | ~ (nat$(v2) = v1) | ~ (nat$(v2) = v0)) & ! [v0: % 77.49/11.81 A_run_bool_fun$] : ! [v1: A_run_bool_fun$] : ! [v2: A_run_set$] : (v1 = v0 % 77.49/11.81 | ~ (uud$(v2) = v1) | ~ (uud$(v2) = v0)) & ! [v0: % 77.49/11.81 A_TESL_atomic_list_bool_fun$] : ! [v1: A_TESL_atomic_list_bool_fun$] : ! % 77.49/11.81 [v2: A_TESL_atomic_list_set$] : (v1 = v0 | ~ (uuc$(v2) = v1) | ~ (uuc$(v2) = % 77.49/11.81 v0)) & ! [v0: A_TESL_atomic_bool_fun$] : ! [v1: A_TESL_atomic_bool_fun$] % 77.49/11.81 : ! [v2: A_TESL_atomic_set$] : (v1 = v0 | ~ (uub$(v2) = v1) | ~ (uub$(v2) = % 77.49/11.81 v0)) & ! [v0: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : ! [v1: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_bool_fun$] : ! [v2: % 77.49/11.81 Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_set$] : (v1 = v0 | ~ % 77.49/11.81 (uua$(v2) = v1) | ~ (uua$(v2) = v0)) & ! [v0: % 77.49/11.81 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$] : % 77.49/11.81 ! [v1: % 77.49/11.81 Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_bool_fun$] : % 77.49/11.81 ! [v2: Nat_list_a_TESL_atomic_list_a_TESL_atomic_list_prod_list_prod_set$] : % 77.49/11.81 (v1 = v0 | ~ (uu$(v2) = v1) | ~ (uu$(v2) = v0)) % 77.49/11.81 % 77.49/11.81 Further assumptions not needed in the proof: % 77.49/11.81 -------------------------------------------- % 77.49/11.81 axiom0, axiom1, axiom10, axiom100, axiom101, axiom102, axiom103, axiom104, % 77.49/11.81 axiom105, axiom106, axiom107, axiom108, axiom109, axiom11, axiom110, axiom111, % 77.49/11.81 axiom112, axiom113, axiom114, axiom115, axiom116, axiom117, axiom118, axiom119, % 77.49/11.81 axiom12, axiom120, axiom121, axiom122, axiom123, axiom124, axiom125, axiom126, % 77.49/11.81 axiom127, axiom128, axiom129, axiom13, axiom130, axiom131, axiom132, axiom133, % 77.49/11.81 axiom134, axiom135, axiom136, axiom137, axiom138, axiom139, axiom14, axiom140, % 77.49/11.81 axiom141, axiom142, axiom143, axiom144, axiom145, axiom146, axiom147, axiom148, % 77.49/11.81 axiom149, axiom15, axiom150, axiom151, axiom152, axiom153, axiom154, axiom155, % 77.49/11.81 axiom156, axiom157, axiom158, axiom159, axiom16, axiom160, axiom161, axiom162, % 77.49/11.81 axiom163, axiom164, axiom165, axiom166, axiom167, axiom168, axiom169, axiom17, % 77.49/11.81 axiom170, axiom171, axiom172, axiom173, axiom174, axiom175, axiom176, axiom177, % 77.49/11.81 axiom178, axiom179, axiom18, axiom180, axiom181, axiom182, axiom183, axiom184, % 77.49/11.81 axiom185, axiom186, axiom187, axiom188, axiom189, axiom19, axiom190, axiom191, % 77.49/11.81 axiom192, axiom193, axiom194, axiom195, axiom196, axiom197, axiom198, axiom199, % 77.49/11.81 axiom2, axiom20, axiom200, axiom201, axiom202, axiom203, axiom204, axiom205, % 77.49/11.81 axiom206, axiom207, axiom208, axiom209, axiom21, axiom210, axiom211, axiom212, % 77.49/11.81 axiom213, axiom214, axiom215, axiom216, axiom217, axiom218, axiom219, axiom22, % 77.49/11.81 axiom220, axiom221, axiom222, axiom223, axiom224, axiom225, axiom226, axiom227, % 77.49/11.81 axiom228, axiom229, axiom23, axiom230, axiom231, axiom232, axiom233, axiom234, % 77.49/11.81 axiom235, axiom236, axiom237, axiom238, axiom239, axiom24, axiom240, axiom241, % 77.49/11.81 axiom242, axiom243, axiom244, axiom245, axiom246, axiom247, axiom248, axiom249, % 77.49/11.81 axiom25, axiom250, axiom251, axiom252, axiom253, axiom254, axiom255, axiom256, % 77.49/11.81 axiom257, axiom258, axiom259, axiom26, axiom260, axiom261, axiom262, axiom263, % 77.49/11.81 axiom264, axiom265, axiom266, axiom267, axiom268, axiom269, axiom27, axiom270, % 77.49/11.81 axiom271, axiom272, axiom273, axiom274, axiom275, axiom276, axiom277, axiom278, % 77.49/11.81 axiom279, axiom28, axiom280, axiom281, axiom282, axiom283, axiom284, axiom285, % 77.49/11.81 axiom286, axiom287, axiom288, axiom289, axiom29, axiom290, axiom291, axiom292, % 77.49/11.81 axiom293, axiom294, axiom295, axiom296, axiom297, axiom298, axiom299, axiom3, % 77.49/11.81 axiom30, axiom300, axiom301, axiom302, axiom303, axiom304, axiom305, axiom306, % 77.49/11.81 axiom307, axiom308, axiom309, axiom31, axiom310, axiom311, axiom312, axiom313, % 77.49/11.81 axiom314, axiom315, axiom316, axiom317, axiom318, axiom319, axiom32, axiom320, % 77.49/11.81 axiom321, axiom322, axiom323, axiom324, axiom325, axiom326, axiom327, axiom328, % 77.49/11.81 axiom329, axiom33, axiom330, axiom331, axiom332, axiom333, axiom334, axiom335, % 77.49/11.81 axiom336, axiom337, axiom338, axiom339, axiom34, axiom340, axiom341, axiom342, % 77.49/11.81 axiom343, axiom344, axiom345, axiom346, axiom347, axiom348, axiom349, axiom35, % 77.49/11.81 axiom350, axiom351, axiom352, axiom353, axiom354, axiom355, axiom356, axiom357, % 77.49/11.81 axiom358, axiom359, axiom36, axiom360, axiom361, axiom362, axiom363, axiom364, % 77.49/11.81 axiom365, axiom366, axiom367, axiom368, axiom369, axiom37, axiom370, axiom371, % 77.49/11.81 axiom372, axiom373, axiom374, axiom375, axiom376, axiom377, axiom378, axiom379, % 77.49/11.81 axiom38, axiom380, axiom381, axiom382, axiom383, axiom384, axiom385, axiom386, % 77.49/11.81 axiom387, axiom388, axiom389, axiom39, axiom390, axiom391, axiom392, axiom393, % 77.49/11.81 axiom394, axiom395, axiom396, axiom397, axiom398, axiom399, axiom4, axiom40, % 77.49/11.81 axiom400, axiom401, axiom402, axiom403, axiom404, axiom405, axiom406, axiom407, % 77.49/11.81 axiom408, axiom409, axiom41, axiom410, axiom411, axiom412, axiom413, axiom414, % 77.49/11.81 axiom415, axiom416, axiom417, axiom418, axiom419, axiom42, axiom420, axiom421, % 77.49/11.81 axiom422, axiom423, axiom424, axiom425, axiom426, axiom427, axiom428, axiom429, % 77.49/11.81 axiom43, axiom430, axiom431, axiom432, axiom433, axiom434, axiom435, axiom436, % 77.49/11.81 axiom437, axiom438, axiom439, axiom44, axiom440, axiom441, axiom442, axiom443, % 77.49/11.81 axiom444, axiom445, axiom446, axiom447, axiom448, axiom449, axiom45, axiom450, % 77.49/11.81 axiom451, axiom452, axiom453, axiom454, axiom455, axiom456, axiom457, axiom458, % 77.49/11.81 axiom459, axiom46, axiom460, axiom461, axiom462, axiom463, axiom464, axiom465, % 77.49/11.81 axiom466, axiom467, axiom468, axiom469, axiom47, axiom470, axiom471, axiom472, % 77.49/11.81 axiom473, axiom474, axiom475, axiom476, axiom477, axiom478, axiom479, axiom48, % 77.49/11.81 axiom480, axiom481, axiom482, axiom483, axiom484, axiom485, axiom486, axiom487, % 77.49/11.81 axiom488, axiom489, axiom49, axiom490, axiom491, axiom492, axiom493, axiom494, % 77.49/11.81 axiom495, axiom496, axiom497, axiom498, axiom499, axiom50, axiom500, axiom501, % 77.49/11.81 axiom502, axiom503, axiom504, axiom505, axiom506, axiom507, axiom508, axiom509, % 77.49/11.81 axiom51, axiom510, axiom511, axiom512, axiom513, axiom514, axiom515, axiom516, % 77.49/11.81 axiom517, axiom518, axiom519, axiom52, axiom520, axiom521, axiom522, axiom523, % 77.49/11.81 axiom524, axiom525, axiom526, axiom527, axiom528, axiom529, axiom53, axiom530, % 77.49/11.81 axiom531, axiom532, axiom533, axiom534, axiom535, axiom536, axiom537, axiom538, % 77.49/11.81 axiom539, axiom54, axiom540, axiom541, axiom542, axiom543, axiom544, axiom545, % 77.49/11.81 axiom546, axiom547, axiom548, axiom549, axiom55, axiom550, axiom551, axiom552, % 77.49/11.81 axiom553, axiom554, axiom555, axiom556, axiom557, axiom558, axiom559, axiom56, % 77.49/11.81 axiom560, axiom561, axiom562, axiom563, axiom564, axiom565, axiom566, axiom567, % 77.49/11.81 axiom568, axiom569, axiom57, axiom570, axiom571, axiom572, axiom573, axiom574, % 77.49/11.81 axiom575, axiom576, axiom577, axiom578, axiom579, axiom58, axiom580, axiom581, % 77.49/11.81 axiom582, axiom583, axiom584, axiom585, axiom586, axiom587, axiom588, axiom589, % 77.49/11.81 axiom59, axiom590, axiom591, axiom592, axiom593, axiom594, axiom595, axiom596, % 77.49/11.81 axiom597, axiom598, axiom599, axiom6, axiom60, axiom600, axiom601, axiom602, % 77.49/11.81 axiom603, axiom604, axiom605, axiom606, axiom607, axiom608, axiom609, axiom61, % 77.49/11.81 axiom610, axiom611, axiom612, axiom613, axiom614, axiom615, axiom616, axiom617, % 77.49/11.81 axiom618, axiom619, axiom62, axiom620, axiom621, axiom622, axiom623, axiom624, % 77.49/11.81 axiom625, axiom626, axiom627, axiom628, axiom629, axiom63, axiom630, axiom631, % 77.49/11.81 axiom64, axiom65, axiom66, axiom67, axiom68, axiom69, axiom7, axiom70, axiom71, % 77.49/11.81 axiom72, axiom73, axiom74, axiom75, axiom76, axiom77, axiom78, axiom79, axiom80, % 77.49/11.81 axiom81, axiom82, axiom83, axiom84, axiom85, axiom86, axiom87, axiom88, axiom89, % 77.49/11.81 axiom9, axiom90, axiom91, axiom92, axiom93, axiom94, axiom95, axiom96, axiom97, % 77.49/11.81 axiom98, axiom99 % 77.49/11.81 % 77.49/11.81 Those formulas are unsatisfiable: % 77.49/11.81 --------------------------------- % 77.49/11.81 % 77.49/11.81 Begin of proof % 77.49/11.82 | % 77.49/11.82 | ALPHA: (axiom8) implies: % 77.49/11.82 | (1) ! [v0: A_constr_list$] : ! [v1: Nat$] : ! [v2: A_TESL_atomic_list$] % 77.49/11.82 | : ! [v3: A_TESL_atomic_list$] : ! [v4: A_run_set$] : ! [v5: % 77.49/11.82 | A_run_set_a_run_set_fun$] : ! [v6: A_run_set$] : ! [v7: A_run_set$] % 77.49/11.82 | : ! [v8: A_run_set_a_run_set_fun$] : ! [v9: int] : ! [v10: Nat$] : % 77.49/11.82 | ! [v11: A_run_set$] : ! [v12: A_run_set$] : ( ~ % 77.49/11.82 | (symbolic_run_interpretation$(v0) = v4) | ~ (fun_app$g(inf$, v7) = % 77.49/11.82 | v8) | ~ (fun_app$g(inf$, v4) = v5) | ~ (fun_app$h(of_nat$, v1) = % 77.49/11.82 | v9) | ~ (nat$($sum(v9, 1)) = v10) | ~ % 77.49/11.82 | (tESL_interpretation_stepwise$(v3, v10) = v11) | ~ % 77.49/11.82 | (tESL_interpretation_stepwise$(v2, v1) = v6) | ~ (fun_app$f(v8, v11) % 77.49/11.82 | = v12) | ~ (fun_app$f(v5, v6) = v7) | ~ Nat$(v1) | ~ % 77.49/11.82 | A_TESL_atomic_list$(v3) | ~ A_TESL_atomic_list$(v2) | ~ % 77.49/11.82 | A_constr_list$(v0) | ? [v13: % 77.49/11.82 | A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ? [v14: % 77.49/11.82 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ? [v15: % 77.49/11.82 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.49/11.82 | : (heronConf_interpretation$(v15) = v12 & pair$b(v2, v3) = v13 & % 77.49/11.82 | pair$a(v1, v13) = v14 & pair$(v0, v14) = v15 & % 77.49/11.82 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v14) & % 77.49/11.82 | A_run_set$(v12) & % 77.49/11.82 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v15) % 77.49/11.82 | & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v13))) % 77.49/11.82 | % 77.49/11.82 | ALPHA: (conjecture5) implies: % 77.49/11.82 | (2) A_constr_list$(gamma$) % 77.49/11.82 | (3) A_TESL_atomic_list$(phi$) % 77.49/11.82 | (4) Nat$(n$) % 77.49/11.83 | (5) ? [v0: A_TESL_atomic$] : ? [v1: % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_fun$] : ? [v2: % 77.49/11.83 | A_TESL_atomic_list$] : ? [v3: % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ? [v4: % 77.49/11.83 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ? [v5: % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.49/11.83 | : ? [v6: A_run_set$] : ? [v7: A_run_set$] : ? [v8: % 77.49/11.83 | A_run_set_a_run_set_fun$] : ? [v9: A_run_set$] : ? [v10: % 77.49/11.83 | A_run_set$] : ? [v11: A_run_set_a_run_set_fun$] : ? [v12: int] : ? % 77.49/11.83 | [v13: Nat$] : ? [v14: A_run_set$] : ? [v15: A_run_set$] : ( ~ (v15 = % 77.49/11.83 | v6) & cons$(v0) = v1 & fun_app$e(v1, psi$) = v2 & % 77.49/11.83 | strictlyPrecedes$(k_1$, k_2$) = v0 & heronConf_interpretation$(v5) = % 77.49/11.83 | v6 & symbolic_run_interpretation$(gamma$) = v7 & fun_app$g(inf$, v10) % 77.49/11.83 | = v11 & fun_app$g(inf$, v7) = v8 & fun_app$h(of_nat$, n$) = v12 & % 77.49/11.83 | nat$($sum(v12, 1)) = v13 & tESL_interpretation_stepwise$(v2, n$) = v9 % 77.49/11.83 | & tESL_interpretation_stepwise$(phi$, v13) = v14 & fun_app$f(v11, % 77.49/11.83 | v14) = v15 & fun_app$f(v8, v9) = v10 & pair$b(v2, phi$) = v3 & % 77.49/11.83 | pair$a(n$, v3) = v4 & pair$(gamma$, v4) = v5 & A_TESL_atomic$(v0) & % 77.49/11.83 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v4) & % 77.49/11.83 | A_run_set$(v15) & A_run_set$(v14) & A_run_set$(v10) & A_run_set$(v9) % 77.49/11.83 | & A_run_set$(v7) & A_run_set$(v6) & A_run_set_a_run_set_fun$(v11) & % 77.49/11.83 | A_run_set_a_run_set_fun$(v8) & Nat$(v13) & % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_fun$(v1) & % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v5) % 77.49/11.83 | & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v3) & % 77.49/11.83 | A_TESL_atomic_list$(v2)) % 77.49/11.83 | % 77.49/11.83 | ALPHA: (function-axioms) implies: % 77.49/11.83 | (6) ! [v0: A_run_set$] : ! [v1: A_run_set$] : ! [v2: % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.49/11.83 | : (v1 = v0 | ~ (heronConf_interpretation$(v2) = v1) | ~ % 77.49/11.83 | (heronConf_interpretation$(v2) = v0)) % 77.49/11.83 | (7) ! [v0: % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.49/11.83 | : ! [v1: % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.49/11.83 | : ! [v2: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! % 77.49/11.83 | [v3: A_constr_list$] : (v1 = v0 | ~ (pair$(v3, v2) = v1) | ~ % 77.49/11.83 | (pair$(v3, v2) = v0)) % 77.49/11.83 | (8) ! [v0: Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v1: % 77.49/11.83 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ! [v2: % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v3: Nat$] : (v1 = % 77.49/11.83 | v0 | ~ (pair$a(v3, v2) = v1) | ~ (pair$a(v3, v2) = v0)) % 77.49/11.83 | (9) ! [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v1: % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ! [v2: % 77.49/11.83 | A_TESL_atomic_list$] : ! [v3: A_TESL_atomic_list$] : (v1 = v0 | ~ % 77.49/11.83 | (pair$b(v3, v2) = v1) | ~ (pair$b(v3, v2) = v0)) % 77.49/11.83 | % 77.49/11.83 | DELTA: instantiating (5) with fresh symbols all_843_0, all_843_1, all_843_2, % 77.49/11.83 | all_843_3, all_843_4, all_843_5, all_843_6, all_843_7, all_843_8, % 77.49/11.83 | all_843_9, all_843_10, all_843_11, all_843_12, all_843_13, all_843_14, % 77.49/11.83 | all_843_15 gives: % 77.49/11.83 | (10) ~ (all_843_0 = all_843_9) & cons$(all_843_15) = all_843_14 & % 77.49/11.83 | fun_app$e(all_843_14, psi$) = all_843_13 & strictlyPrecedes$(k_1$, % 77.49/11.83 | k_2$) = all_843_15 & heronConf_interpretation$(all_843_10) = % 77.49/11.83 | all_843_9 & symbolic_run_interpretation$(gamma$) = all_843_8 & % 77.49/11.83 | fun_app$g(inf$, all_843_5) = all_843_4 & fun_app$g(inf$, all_843_8) = % 77.49/11.83 | all_843_7 & fun_app$h(of_nat$, n$) = all_843_3 & nat$($sum(all_843_3, % 77.49/11.83 | 1)) = all_843_2 & tESL_interpretation_stepwise$(all_843_13, n$) = % 77.49/11.83 | all_843_6 & tESL_interpretation_stepwise$(phi$, all_843_2) = all_843_1 % 77.49/11.83 | & fun_app$f(all_843_4, all_843_1) = all_843_0 & fun_app$f(all_843_7, % 77.49/11.83 | all_843_6) = all_843_5 & pair$b(all_843_13, phi$) = all_843_12 & % 77.49/11.83 | pair$a(n$, all_843_12) = all_843_11 & pair$(gamma$, all_843_11) = % 77.49/11.83 | all_843_10 & A_TESL_atomic$(all_843_15) & % 77.49/11.83 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_843_11) & % 77.49/11.83 | A_run_set$(all_843_0) & A_run_set$(all_843_1) & A_run_set$(all_843_5) % 77.49/11.83 | & A_run_set$(all_843_6) & A_run_set$(all_843_8) & % 77.49/11.83 | A_run_set$(all_843_9) & A_run_set_a_run_set_fun$(all_843_4) & % 77.49/11.83 | A_run_set_a_run_set_fun$(all_843_7) & Nat$(all_843_2) & % 77.49/11.83 | A_TESL_atomic_list_a_TESL_atomic_list_fun$(all_843_14) & % 77.49/11.83 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_843_10) % 77.49/11.83 | & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_843_12) & % 77.49/11.83 | A_TESL_atomic_list$(all_843_13) % 77.49/11.83 | % 77.49/11.83 | ALPHA: (10) implies: % 77.49/11.83 | (11) ~ (all_843_0 = all_843_9) % 77.49/11.83 | (12) A_TESL_atomic_list$(all_843_13) % 77.49/11.83 | (13) pair$(gamma$, all_843_11) = all_843_10 % 77.49/11.83 | (14) pair$a(n$, all_843_12) = all_843_11 % 77.49/11.83 | (15) pair$b(all_843_13, phi$) = all_843_12 % 77.49/11.83 | (16) fun_app$f(all_843_7, all_843_6) = all_843_5 % 77.49/11.83 | (17) fun_app$f(all_843_4, all_843_1) = all_843_0 % 77.49/11.83 | (18) tESL_interpretation_stepwise$(phi$, all_843_2) = all_843_1 % 77.49/11.83 | (19) tESL_interpretation_stepwise$(all_843_13, n$) = all_843_6 % 77.49/11.83 | (20) nat$($sum(all_843_3, 1)) = all_843_2 % 77.49/11.83 | (21) fun_app$h(of_nat$, n$) = all_843_3 % 77.49/11.83 | (22) fun_app$g(inf$, all_843_8) = all_843_7 % 77.49/11.84 | (23) fun_app$g(inf$, all_843_5) = all_843_4 % 77.72/11.84 | (24) symbolic_run_interpretation$(gamma$) = all_843_8 % 77.72/11.84 | (25) heronConf_interpretation$(all_843_10) = all_843_9 % 77.72/11.84 | % 77.72/11.84 | GROUND_INST: instantiating (1) with gamma$, n$, all_843_13, phi$, all_843_8, % 77.72/11.84 | all_843_7, all_843_6, all_843_5, all_843_4, all_843_3, all_843_2, % 77.72/11.84 | all_843_1, all_843_0, simplifying with (2), (3), (4), (12), (16), % 77.72/11.84 | (17), (18), (19), (20), (21), (22), (23), (24) gives: % 77.72/11.84 | (26) ? [v0: A_TESL_atomic_list_a_TESL_atomic_list_prod$] : ? [v1: % 77.72/11.84 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$] : ? [v2: % 77.72/11.84 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$] % 77.72/11.84 | : (heronConf_interpretation$(v2) = all_843_0 & pair$b(all_843_13, % 77.72/11.84 | phi$) = v0 & pair$a(n$, v0) = v1 & pair$(gamma$, v1) = v2 & % 77.72/11.84 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(v1) & % 77.72/11.84 | A_run_set$(all_843_0) & % 77.72/11.84 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(v2) % 77.72/11.84 | & A_TESL_atomic_list_a_TESL_atomic_list_prod$(v0)) % 77.72/11.84 | % 77.72/11.84 | DELTA: instantiating (26) with fresh symbols all_877_0, all_877_1, all_877_2 % 77.72/11.84 | gives: % 77.72/11.84 | (27) heronConf_interpretation$(all_877_0) = all_843_0 & pair$b(all_843_13, % 77.72/11.84 | phi$) = all_877_2 & pair$a(n$, all_877_2) = all_877_1 & % 77.72/11.84 | pair$(gamma$, all_877_1) = all_877_0 & % 77.72/11.84 | Nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod$(all_877_1) & % 77.72/11.84 | A_run_set$(all_843_0) & % 77.72/11.84 | A_constr_list_nat_a_TESL_atomic_list_a_TESL_atomic_list_prod_prod_prod$(all_877_0) % 77.72/11.84 | & A_TESL_atomic_list_a_TESL_atomic_list_prod$(all_877_2) % 77.72/11.84 | % 77.72/11.84 | ALPHA: (27) implies: % 77.72/11.84 | (28) pair$(gamma$, all_877_1) = all_877_0 % 77.72/11.84 | (29) pair$a(n$, all_877_2) = all_877_1 % 77.72/11.84 | (30) pair$b(all_843_13, phi$) = all_877_2 % 77.72/11.84 | (31) heronConf_interpretation$(all_877_0) = all_843_0 % 77.72/11.84 | % 77.72/11.84 | GROUND_INST: instantiating (9) with all_843_12, all_877_2, phi$, all_843_13, % 77.72/11.84 | simplifying with (15), (30) gives: % 77.72/11.84 | (32) all_877_2 = all_843_12 % 77.72/11.84 | % 77.72/11.84 | REDUCE: (29), (32) imply: % 77.72/11.84 | (33) pair$a(n$, all_843_12) = all_877_1 % 77.72/11.84 | % 77.72/11.84 | GROUND_INST: instantiating (8) with all_843_11, all_877_1, all_843_12, n$, % 77.72/11.84 | simplifying with (14), (33) gives: % 77.72/11.84 | (34) all_877_1 = all_843_11 % 77.72/11.84 | % 77.72/11.84 | REDUCE: (28), (34) imply: % 77.72/11.84 | (35) pair$(gamma$, all_843_11) = all_877_0 % 77.72/11.84 | % 77.72/11.84 | GROUND_INST: instantiating (7) with all_843_10, all_877_0, all_843_11, gamma$, % 77.72/11.84 | simplifying with (13), (35) gives: % 77.72/11.84 | (36) all_877_0 = all_843_10 % 77.74/11.84 | % 77.74/11.84 | REDUCE: (31), (36) imply: % 77.74/11.84 | (37) heronConf_interpretation$(all_843_10) = all_843_0 % 77.74/11.84 | % 77.74/11.84 | GROUND_INST: instantiating (6) with all_843_9, all_843_0, all_843_10, % 77.74/11.84 | simplifying with (25), (37) gives: % 77.74/11.84 | (38) all_843_0 = all_843_9 % 77.74/11.84 | % 77.74/11.84 | REDUCE: (11), (38) imply: % 77.74/11.84 | (39) $false % 77.74/11.84 | % 77.74/11.84 | CLOSE: (39) is inconsistent. % 77.74/11.84 | % 77.74/11.84 End of proof % 77.74/11.84 % SZS output end Proof for theBenchmark % 77.74/11.84 % 77.74/11.84 11206ms %------------------------------------------------------------------------------