%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n013.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 04:08:53 EDT 2023 % Result : Theorem 12.52s 2.56s % Output : Proof 16.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : ITP018+1 : TPTP v8.1.2. Bugfixed v7.5.0. % 0.00/0.14 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.35 % Computer : n013.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 16:19:17 EDT 2023 % 0.13/0.35 % CPUTime : % 0.20/0.60 ________ _____ % 0.20/0.60 ___ __ \_________(_)________________________________ % 0.20/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.60 % 0.20/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.60 (2023-06-19) % 0.20/0.60 % 0.20/0.60 (c) Philipp Rümmer, 2009-2023 % 0.20/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.60 Amanda Stjerna. % 0.20/0.60 Free software under BSD-3-Clause. % 0.20/0.60 % 0.20/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.60 % 0.20/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.20/0.61 Running up to 7 provers in parallel. % 0.20/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.20/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.20/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.20/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.20/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.20/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.20/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 3.25/1.22 Prover 1: Preprocessing ... % 3.25/1.22 Prover 4: Preprocessing ... % 3.53/1.25 Prover 2: Preprocessing ... % 3.53/1.25 Prover 5: Preprocessing ... % 3.53/1.25 Prover 6: Preprocessing ... % 3.53/1.25 Prover 0: Preprocessing ... % 3.53/1.27 Prover 3: Preprocessing ... % 9.37/2.22 Prover 3: Constructing countermodel ... % 9.37/2.22 Prover 0: Proving ... % 9.37/2.23 Prover 6: Proving ... % 9.37/2.24 Prover 1: Constructing countermodel ... % 9.37/2.28 Prover 4: Constructing countermodel ... % 10.07/2.31 Prover 2: Proving ... % 11.27/2.37 Prover 5: Proving ... % 12.52/2.56 Prover 3: proved (1936ms) % 12.52/2.56 % 12.52/2.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 12.52/2.56 % 12.52/2.56 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 12.52/2.56 Prover 6: stopped % 12.52/2.56 Prover 2: stopped % 12.52/2.58 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 12.52/2.58 Prover 5: stopped % 12.52/2.59 Prover 0: stopped % 12.52/2.59 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 12.52/2.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 12.52/2.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 13.08/2.62 Prover 8: Preprocessing ... % 13.08/2.64 Prover 7: Preprocessing ... % 13.50/2.68 Prover 13: Preprocessing ... % 13.50/2.69 Prover 10: Preprocessing ... % 13.50/2.70 Prover 11: Preprocessing ... % 14.34/2.90 Prover 8: Warning: ignoring some quantifiers % 14.34/2.92 Prover 1: Found proof (size 41) % 14.34/2.92 Prover 1: proved (2297ms) % 14.34/2.93 Prover 8: Constructing countermodel ... % 14.34/2.93 Prover 13: stopped % 14.34/2.93 Prover 4: stopped % 14.34/2.94 Prover 8: stopped % 14.34/2.97 Prover 10: Constructing countermodel ... % 14.34/2.98 Prover 11: Constructing countermodel ... % 14.34/2.98 Prover 7: Constructing countermodel ... % 14.34/2.98 Prover 10: stopped % 15.00/2.99 Prover 11: stopped % 15.00/2.99 Prover 7: stopped % 15.00/2.99 % 15.00/2.99 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 15.00/2.99 % 15.85/3.01 % SZS output start Proof for theBenchmark % 15.85/3.01 Assumptions after simplification: % 15.85/3.01 --------------------------------- % 15.85/3.01 % 15.85/3.01 (arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) % 15.85/3.04 $i(c_2Erealax_2Ereal__neg_2E0) & $i(tyop_2Erealax_2Ereal) & ? [v0: $i] : ? % 15.85/3.04 [v1: $i] : (tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal) = v0 % 15.85/3.04 & s(v0, c_2Erealax_2Ereal__neg_2E0) = v1 & $i(v1) & $i(v0) & ! [v2: $i] : % 15.85/3.04 ! [v3: $i] : ( ~ (s(tyop_2Erealax_2Ereal, v2) = v3) | ~ $i(v2) | ? [v4: % 15.85/3.04 $i] : ? [v5: $i] : ? [v6: $i] : (c_2Erealax_2Ereal__neg_2E1(v3) = v4 & % 15.85/3.04 app_2E2(v1, v3) = v6 & s(tyop_2Erealax_2Ereal, v6) = v5 & % 15.85/3.04 s(tyop_2Erealax_2Ereal, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) % 15.85/3.04 % 15.85/3.04 (thm_2Ebinary__ieee_2Efloat__to__real__negate) % 15.85/3.04 $i(tyop_2Erealax_2Ereal) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 15.85/3.04 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : ( ~ % 15.85/3.04 (tyop_2Ebinary__ieee_2Efloat(v0, v1) = v3) | ~ % 15.85/3.04 (c_2Ebinary__ieee_2Efloat__negate_2E1(v4) = v5) | ~ (s(v3, v5) = v6) | ~ % 15.85/3.04 (s(v3, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v7: $i] : ? [v8: % 15.85/3.04 $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : % 15.85/3.04 (c_2Erealax_2Ereal__neg_2E1(v10) = v11 & % 15.85/3.04 c_2Ebinary__ieee_2Efloat__to__real_2E1(v6) = v7 & % 15.85/3.04 c_2Ebinary__ieee_2Efloat__to__real_2E1(v4) = v9 & s(tyop_2Erealax_2Ereal, % 15.85/3.04 v11) = v8 & s(tyop_2Erealax_2Ereal, v9) = v10 & s(tyop_2Erealax_2Ereal, % 15.85/3.04 v7) = v8 & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7))) % 15.85/3.04 % 15.85/3.04 (thm_2Ebinary__ieee_2Eneg__ulp) % 15.85/3.05 $i(c_2Ebool_2Ethe__value_2E0) & $i(tyop_2Erealax_2Ereal) & ? [v0: $i] : ? % 15.85/3.05 [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: $i] : ? [v6: $i] % 15.85/3.05 : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? [v11: $i] : ? % 15.85/3.05 [v12: $i] : ? [v13: $i] : ? [v14: $i] : ? [v15: $i] : ( ~ (v15 = v8) & % 15.85/3.05 c_2Ebinary__ieee_2Eulp_2E1(v4) = v5 & c_2Erealax_2Ereal__neg_2E1(v6) = v7 & % 15.85/3.05 tyop_2Epair_2Eprod(v0, v1) = v2 & tyop_2Ebool_2Eitself(v2) = v3 & % 15.85/3.05 c_2Ebinary__ieee_2Efloat__plus__min_2E1(v4) = v10 & % 15.85/3.05 c_2Ebinary__ieee_2Efloat__to__real_2E1(v13) = v14 & % 15.85/3.05 tyop_2Ebinary__ieee_2Efloat(v0, v1) = v9 & % 15.85/3.05 c_2Ebinary__ieee_2Efloat__negate_2E1(v11) = v12 & s(v9, v12) = v13 & s(v9, % 15.85/3.05 v10) = v11 & s(v3, c_2Ebool_2Ethe__value_2E0) = v4 & % 15.85/3.05 s(tyop_2Erealax_2Ereal, v14) = v15 & s(tyop_2Erealax_2Ereal, v7) = v8 & % 15.85/3.05 s(tyop_2Erealax_2Ereal, v5) = v6 & $i(v15) & $i(v14) & $i(v13) & $i(v12) & % 15.85/3.05 $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & $i(v5) & $i(v4) & % 15.85/3.05 $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 15.85/3.05 % 15.85/3.05 (thm_2Ebinary__ieee_2Eulp) % 15.85/3.05 $i(c_2Ebool_2Ethe__value_2E0) & $i(tyop_2Erealax_2Ereal) & ! [v0: $i] : ! % 15.85/3.05 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] % 15.85/3.05 : ! [v7: $i] : ( ~ (tyop_2Epair_2Eprod(v0, v1) = v2) | ~ % 15.85/3.05 (tyop_2Ebool_2Eitself(v2) = v3) | ~ % 15.85/3.05 (c_2Ebinary__ieee_2Efloat__plus__min_2E1(v4) = v6) | ~ % 15.85/3.05 (tyop_2Ebinary__ieee_2Efloat(v0, v1) = v5) | ~ (s(v5, v6) = v7) | ~ (s(v3, % 15.85/3.05 c_2Ebool_2Ethe__value_2E0) = v4) | ~ $i(v1) | ~ $i(v0) | ? [v8: $i] : % 15.85/3.05 ? [v9: $i] : ? [v10: $i] : (c_2Ebinary__ieee_2Eulp_2E1(v4) = v8 & % 15.85/3.05 c_2Ebinary__ieee_2Efloat__to__real_2E1(v7) = v10 & s(tyop_2Erealax_2Ereal, % 15.85/3.05 v10) = v9 & s(tyop_2Erealax_2Ereal, v8) = v9 & $i(v10) & $i(v9) & % 15.85/3.05 $i(v8))) % 15.85/3.05 % 15.85/3.05 (function-axioms) % 15.85/3.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.85/3.06 (tyop_2Epair_2Eprod(v3, v2) = v1) | ~ (tyop_2Epair_2Eprod(v3, v2) = v0)) & % 15.85/3.06 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.85/3.06 (tyop_2Ebinary__ieee_2Efloat(v3, v2) = v1) | ~ % 15.85/3.06 (tyop_2Ebinary__ieee_2Efloat(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 15.85/3.06 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_2Emin_2E_3D_2E2(v3, v2) = v1) | ~ % 15.85/3.06 (c_2Emin_2E_3D_2E2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 15.85/3.06 : ! [v3: $i] : (v1 = v0 | ~ (c_2Emin_2E_3D_3D_3E_2E2(v3, v2) = v1) | ~ % 15.85/3.06 (c_2Emin_2E_3D_3D_3E_2E2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 15.85/3.06 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_2Ebool_2E_5C_2F_2E2(v3, v2) = v1) | % 15.85/3.06 ~ (c_2Ebool_2E_5C_2F_2E2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 15.85/3.06 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (c_2Ebool_2E_2F_5C_2E2(v3, v2) = v1) | % 15.85/3.06 ~ (c_2Ebool_2E_2F_5C_2E2(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 15.85/3.06 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tyop_2Emin_2Efun(v3, v2) = v1) | ~ % 15.85/3.06 (tyop_2Emin_2Efun(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 15.85/3.06 ! [v3: $i] : (v1 = v0 | ~ (app_2E2(v3, v2) = v1) | ~ (app_2E2(v3, v2) = % 15.85/3.06 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | % 15.85/3.06 ~ (s(v3, v2) = v1) | ~ (s(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! % 15.85/3.06 [v2: $i] : (v1 = v0 | ~ (c_2Ebinary__ieee_2Eulp_2E1(v2) = v1) | ~ % 15.85/3.06 (c_2Ebinary__ieee_2Eulp_2E1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 15.85/3.06 $i] : (v1 = v0 | ~ (c_2Erealax_2Ereal__neg_2E1(v2) = v1) | ~ % 15.85/3.06 (c_2Erealax_2Ereal__neg_2E1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 15.85/3.06 $i] : (v1 = v0 | ~ (tyop_2Ebool_2Eitself(v2) = v1) | ~ % 15.85/3.06 (tyop_2Ebool_2Eitself(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 15.85/3.06 (v1 = v0 | ~ (c_2Ebinary__ieee_2Efloat__plus__min_2E1(v2) = v1) | ~ % 15.85/3.06 (c_2Ebinary__ieee_2Efloat__plus__min_2E1(v2) = v0)) & ! [v0: $i] : ! [v1: % 15.85/3.06 $i] : ! [v2: $i] : (v1 = v0 | ~ % 15.85/3.06 (c_2Ebinary__ieee_2Efloat__to__real_2E1(v2) = v1) | ~ % 15.85/3.06 (c_2Ebinary__ieee_2Efloat__to__real_2E1(v2) = v0)) & ! [v0: $i] : ! [v1: % 15.85/3.06 $i] : ! [v2: $i] : (v1 = v0 | ~ (c_2Ebinary__ieee_2Efloat__negate_2E1(v2) % 15.85/3.06 = v1) | ~ (c_2Ebinary__ieee_2Efloat__negate_2E1(v2) = v0)) & ! [v0: $i] % 15.85/3.06 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (c_2Ebool_2E_3F_2E1(v2) = v1) | ~ % 15.85/3.06 (c_2Ebool_2E_3F_2E1(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 15.85/3.06 (v1 = v0 | ~ (c_2Ebool_2E_21_2E1(v2) = v1) | ~ (c_2Ebool_2E_21_2E1(v2) = % 15.85/3.06 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 15.85/3.06 (c_2Ebool_2E_7E_2E1(v2) = v1) | ~ (c_2Ebool_2E_7E_2E1(v2) = v0)) & ! [v0: % 15.85/3.06 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 15.85/3.06 ~ (p(v2) = v1) | ~ (p(v2) = v0)) % 15.85/3.06 % 15.85/3.06 Further assumptions not needed in the proof: % 15.85/3.06 -------------------------------------------- % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Efloat__negate_2E1_2Emono_2EA_27a_20mono_2EA_27b, % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Efloat__negate_2E1_2Emono_2EA_27t_20mono_2EA_27w, % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Efloat__plus__min_2E1_2Emono_2EA_27t_20mono_2EA_27w, % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27a_20mono_2EA_27b, % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Efloat__to__real_2E1_2Emono_2EA_27t_20mono_2EA_27w, % 15.85/3.06 arityeq1_2Ec_2Ebinary__ieee_2Eulp_2E1_2Emono_2EA_27t_20mono_2EA_27w, % 15.85/3.06 arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a, % 15.85/3.06 arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a, arityeq1_2Ec_2Ebool_2E_7E_2E1, % 15.85/3.06 arityeq2_2Ec_2Ebool_2E_2F_5C_2E2, arityeq2_2Ec_2Ebool_2E_5C_2F_2E2, % 15.85/3.06 arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a, arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2, % 15.85/3.06 reserved_2Eho_2Ebool__cases__ax, reserved_2Eho_2Eboolext, % 15.85/3.06 reserved_2Eho_2Eeq__ext, reserved_2Eho_2Ei__thm, reserved_2Eho_2Ek__thm, % 15.85/3.06 reserved_2Eho_2Enotfalse, reserved_2Eho_2Es__thm, reserved_2Eho_2Etruth, % 15.85/3.06 reserved_2Elogic_2E_2F_5C, reserved_2Elogic_2E_3D, reserved_2Elogic_2E_3D_3D_3E, % 15.85/3.06 reserved_2Elogic_2E_5C_2F, reserved_2Elogic_2E_7E, reserved_2Equant_2E_21, % 15.85/3.06 reserved_2Equant_2E_3F, thm_2Ebool_2EREFL__CLAUSE, thm_2Ebool_2ETRUTH % 15.85/3.06 % 15.85/3.06 Those formulas are unsatisfiable: % 15.85/3.06 --------------------------------- % 15.85/3.06 % 15.85/3.06 Begin of proof % 15.85/3.06 | % 15.85/3.06 | ALPHA: (arityeq1_2Ec_2Erealax_2Ereal__neg_2E1) implies: % 15.85/3.06 | (1) ? [v0: $i] : ? [v1: $i] : (tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, % 15.85/3.06 | tyop_2Erealax_2Ereal) = v0 & s(v0, c_2Erealax_2Ereal__neg_2E0) = v1 % 15.85/3.06 | & $i(v1) & $i(v0) & ! [v2: $i] : ! [v3: $i] : ( ~ % 15.85/3.06 | (s(tyop_2Erealax_2Ereal, v2) = v3) | ~ $i(v2) | ? [v4: $i] : ? % 15.85/3.06 | [v5: $i] : ? [v6: $i] : (c_2Erealax_2Ereal__neg_2E1(v3) = v4 & % 15.85/3.06 | app_2E2(v1, v3) = v6 & s(tyop_2Erealax_2Ereal, v6) = v5 & % 15.85/3.06 | s(tyop_2Erealax_2Ereal, v4) = v5 & $i(v6) & $i(v5) & $i(v4)))) % 15.85/3.07 | % 15.85/3.07 | ALPHA: (thm_2Ebinary__ieee_2Efloat__to__real__negate) implies: % 15.85/3.07 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.85/3.07 | ! [v5: $i] : ! [v6: $i] : ( ~ (tyop_2Ebinary__ieee_2Efloat(v0, v1) = % 15.85/3.07 | v3) | ~ (c_2Ebinary__ieee_2Efloat__negate_2E1(v4) = v5) | ~ % 15.85/3.07 | (s(v3, v5) = v6) | ~ (s(v3, v2) = v4) | ~ $i(v2) | ~ $i(v1) | ~ % 15.85/3.07 | $i(v0) | ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? [v10: $i] : ? % 15.85/3.07 | [v11: $i] : (c_2Erealax_2Ereal__neg_2E1(v10) = v11 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__to__real_2E1(v6) = v7 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__to__real_2E1(v4) = v9 & % 15.85/3.07 | s(tyop_2Erealax_2Ereal, v11) = v8 & s(tyop_2Erealax_2Ereal, v9) = % 15.85/3.07 | v10 & s(tyop_2Erealax_2Ereal, v7) = v8 & $i(v11) & $i(v10) & $i(v9) % 15.85/3.07 | & $i(v8) & $i(v7))) % 15.85/3.07 | % 15.85/3.07 | ALPHA: (thm_2Ebinary__ieee_2Eulp) implies: % 15.85/3.07 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 15.85/3.07 | ! [v5: $i] : ! [v6: $i] : ! [v7: $i] : ( ~ (tyop_2Epair_2Eprod(v0, % 15.85/3.07 | v1) = v2) | ~ (tyop_2Ebool_2Eitself(v2) = v3) | ~ % 15.85/3.07 | (c_2Ebinary__ieee_2Efloat__plus__min_2E1(v4) = v6) | ~ % 15.85/3.07 | (tyop_2Ebinary__ieee_2Efloat(v0, v1) = v5) | ~ (s(v5, v6) = v7) | ~ % 15.85/3.07 | (s(v3, c_2Ebool_2Ethe__value_2E0) = v4) | ~ $i(v1) | ~ $i(v0) | ? % 15.85/3.07 | [v8: $i] : ? [v9: $i] : ? [v10: $i] : % 15.85/3.07 | (c_2Ebinary__ieee_2Eulp_2E1(v4) = v8 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__to__real_2E1(v7) = v10 & % 15.85/3.07 | s(tyop_2Erealax_2Ereal, v10) = v9 & s(tyop_2Erealax_2Ereal, v8) = % 15.85/3.07 | v9 & $i(v10) & $i(v9) & $i(v8))) % 15.85/3.07 | % 15.85/3.07 | ALPHA: (thm_2Ebinary__ieee_2Eneg__ulp) implies: % 15.85/3.07 | (4) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.85/3.07 | ? [v5: $i] : ? [v6: $i] : ? [v7: $i] : ? [v8: $i] : ? [v9: $i] : ? % 15.85/3.07 | [v10: $i] : ? [v11: $i] : ? [v12: $i] : ? [v13: $i] : ? [v14: $i] : % 15.85/3.07 | ? [v15: $i] : ( ~ (v15 = v8) & c_2Ebinary__ieee_2Eulp_2E1(v4) = v5 & % 15.85/3.07 | c_2Erealax_2Ereal__neg_2E1(v6) = v7 & tyop_2Epair_2Eprod(v0, v1) = v2 % 15.85/3.07 | & tyop_2Ebool_2Eitself(v2) = v3 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__plus__min_2E1(v4) = v10 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__to__real_2E1(v13) = v14 & % 15.85/3.07 | tyop_2Ebinary__ieee_2Efloat(v0, v1) = v9 & % 15.85/3.07 | c_2Ebinary__ieee_2Efloat__negate_2E1(v11) = v12 & s(v9, v12) = v13 & % 15.85/3.07 | s(v9, v10) = v11 & s(v3, c_2Ebool_2Ethe__value_2E0) = v4 & % 15.85/3.07 | s(tyop_2Erealax_2Ereal, v14) = v15 & s(tyop_2Erealax_2Ereal, v7) = v8 % 15.85/3.07 | & s(tyop_2Erealax_2Ereal, v5) = v6 & $i(v15) & $i(v14) & $i(v13) & % 15.85/3.07 | $i(v12) & $i(v11) & $i(v10) & $i(v9) & $i(v8) & $i(v7) & $i(v6) & % 15.85/3.07 | $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 15.85/3.07 | % 15.85/3.07 | ALPHA: (function-axioms) implies: % 15.85/3.07 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 15.85/3.07 | (c_2Ebinary__ieee_2Efloat__to__real_2E1(v2) = v1) | ~ % 15.85/3.07 | (c_2Ebinary__ieee_2Efloat__to__real_2E1(v2) = v0)) % 15.85/3.07 | (6) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 15.85/3.07 | (c_2Erealax_2Ereal__neg_2E1(v2) = v1) | ~ % 15.85/3.07 | (c_2Erealax_2Ereal__neg_2E1(v2) = v0)) % 15.85/3.07 | (7) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ % 15.85/3.07 | (c_2Ebinary__ieee_2Eulp_2E1(v2) = v1) | ~ % 15.85/3.07 | (c_2Ebinary__ieee_2Eulp_2E1(v2) = v0)) % 15.85/3.07 | (8) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 15.85/3.07 | (s(v3, v2) = v1) | ~ (s(v3, v2) = v0)) % 15.85/3.07 | % 15.85/3.07 | DELTA: instantiating (1) with fresh symbols all_39_0, all_39_1 gives: % 15.85/3.08 | (9) tyop_2Emin_2Efun(tyop_2Erealax_2Ereal, tyop_2Erealax_2Ereal) = all_39_1 % 15.85/3.08 | & s(all_39_1, c_2Erealax_2Ereal__neg_2E0) = all_39_0 & $i(all_39_0) & % 15.85/3.08 | $i(all_39_1) & ! [v0: $i] : ! [v1: $i] : ( ~ (s(tyop_2Erealax_2Ereal, % 15.85/3.08 | v0) = v1) | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.85/3.08 | (c_2Erealax_2Ereal__neg_2E1(v1) = v2 & app_2E2(all_39_0, v1) = v4 & % 15.85/3.08 | s(tyop_2Erealax_2Ereal, v4) = v3 & s(tyop_2Erealax_2Ereal, v2) = v3 % 15.85/3.08 | & $i(v4) & $i(v3) & $i(v2))) % 15.85/3.08 | % 15.85/3.08 | ALPHA: (9) implies: % 15.85/3.08 | (10) ! [v0: $i] : ! [v1: $i] : ( ~ (s(tyop_2Erealax_2Ereal, v0) = v1) | % 15.85/3.08 | ~ $i(v0) | ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 15.85/3.08 | (c_2Erealax_2Ereal__neg_2E1(v1) = v2 & app_2E2(all_39_0, v1) = v4 & % 15.85/3.08 | s(tyop_2Erealax_2Ereal, v4) = v3 & s(tyop_2Erealax_2Ereal, v2) = % 15.85/3.08 | v3 & $i(v4) & $i(v3) & $i(v2))) % 15.85/3.08 | % 15.85/3.08 | DELTA: instantiating (4) with fresh symbols all_45_0, all_45_1, all_45_2, % 15.85/3.08 | all_45_3, all_45_4, all_45_5, all_45_6, all_45_7, all_45_8, all_45_9, % 15.85/3.08 | all_45_10, all_45_11, all_45_12, all_45_13, all_45_14, all_45_15 gives: % 15.85/3.08 | (11) ~ (all_45_0 = all_45_7) & c_2Ebinary__ieee_2Eulp_2E1(all_45_11) = % 15.85/3.08 | all_45_10 & c_2Erealax_2Ereal__neg_2E1(all_45_9) = all_45_8 & % 15.85/3.08 | tyop_2Epair_2Eprod(all_45_15, all_45_14) = all_45_13 & % 15.85/3.08 | tyop_2Ebool_2Eitself(all_45_13) = all_45_12 & % 15.85/3.08 | c_2Ebinary__ieee_2Efloat__plus__min_2E1(all_45_11) = all_45_5 & % 15.85/3.08 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_2) = all_45_1 & % 15.85/3.08 | tyop_2Ebinary__ieee_2Efloat(all_45_15, all_45_14) = all_45_6 & % 15.85/3.08 | c_2Ebinary__ieee_2Efloat__negate_2E1(all_45_4) = all_45_3 & % 15.85/3.08 | s(all_45_6, all_45_3) = all_45_2 & s(all_45_6, all_45_5) = all_45_4 & % 15.85/3.08 | s(all_45_12, c_2Ebool_2Ethe__value_2E0) = all_45_11 & % 15.85/3.08 | s(tyop_2Erealax_2Ereal, all_45_1) = all_45_0 & s(tyop_2Erealax_2Ereal, % 15.85/3.08 | all_45_8) = all_45_7 & s(tyop_2Erealax_2Ereal, all_45_10) = all_45_9 % 15.85/3.08 | & $i(all_45_0) & $i(all_45_1) & $i(all_45_2) & $i(all_45_3) & % 15.85/3.08 | $i(all_45_4) & $i(all_45_5) & $i(all_45_6) & $i(all_45_7) & % 15.85/3.08 | $i(all_45_8) & $i(all_45_9) & $i(all_45_10) & $i(all_45_11) & % 15.85/3.08 | $i(all_45_12) & $i(all_45_13) & $i(all_45_14) & $i(all_45_15) % 15.85/3.08 | % 15.85/3.08 | ALPHA: (11) implies: % 15.85/3.08 | (12) ~ (all_45_0 = all_45_7) % 15.85/3.08 | (13) $i(all_45_15) % 15.85/3.08 | (14) $i(all_45_14) % 15.85/3.08 | (15) $i(all_45_10) % 15.85/3.08 | (16) $i(all_45_5) % 15.85/3.08 | (17) s(tyop_2Erealax_2Ereal, all_45_10) = all_45_9 % 15.85/3.08 | (18) s(tyop_2Erealax_2Ereal, all_45_8) = all_45_7 % 15.85/3.08 | (19) s(tyop_2Erealax_2Ereal, all_45_1) = all_45_0 % 15.85/3.08 | (20) s(all_45_12, c_2Ebool_2Ethe__value_2E0) = all_45_11 % 15.85/3.08 | (21) s(all_45_6, all_45_5) = all_45_4 % 15.85/3.08 | (22) s(all_45_6, all_45_3) = all_45_2 % 15.85/3.08 | (23) c_2Ebinary__ieee_2Efloat__negate_2E1(all_45_4) = all_45_3 % 15.85/3.08 | (24) tyop_2Ebinary__ieee_2Efloat(all_45_15, all_45_14) = all_45_6 % 15.85/3.08 | (25) c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_2) = all_45_1 % 15.85/3.08 | (26) c_2Ebinary__ieee_2Efloat__plus__min_2E1(all_45_11) = all_45_5 % 15.85/3.08 | (27) tyop_2Ebool_2Eitself(all_45_13) = all_45_12 % 15.85/3.08 | (28) tyop_2Epair_2Eprod(all_45_15, all_45_14) = all_45_13 % 16.22/3.08 | (29) c_2Erealax_2Ereal__neg_2E1(all_45_9) = all_45_8 % 16.22/3.08 | (30) c_2Ebinary__ieee_2Eulp_2E1(all_45_11) = all_45_10 % 16.22/3.08 | % 16.22/3.08 | GROUND_INST: instantiating (10) with all_45_10, all_45_9, simplifying with % 16.22/3.08 | (15), (17) gives: % 16.22/3.08 | (31) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 16.22/3.08 | (c_2Erealax_2Ereal__neg_2E1(all_45_9) = v0 & app_2E2(all_39_0, % 16.22/3.08 | all_45_9) = v2 & s(tyop_2Erealax_2Ereal, v2) = v1 & % 16.22/3.08 | s(tyop_2Erealax_2Ereal, v0) = v1 & $i(v2) & $i(v1) & $i(v0)) % 16.22/3.08 | % 16.22/3.08 | GROUND_INST: instantiating (2) with all_45_15, all_45_14, all_45_5, all_45_6, % 16.22/3.08 | all_45_4, all_45_3, all_45_2, simplifying with (13), (14), (16), % 16.22/3.08 | (21), (22), (23), (24) gives: % 16.22/3.09 | (32) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : % 16.22/3.09 | (c_2Erealax_2Ereal__neg_2E1(v3) = v4 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_2) = v0 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = v2 & % 16.22/3.09 | s(tyop_2Erealax_2Ereal, v4) = v1 & s(tyop_2Erealax_2Ereal, v2) = v3 % 16.22/3.09 | & s(tyop_2Erealax_2Ereal, v0) = v1 & $i(v4) & $i(v3) & $i(v2) & % 16.22/3.09 | $i(v1) & $i(v0)) % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (3) with all_45_15, all_45_14, all_45_13, % 16.22/3.09 | all_45_12, all_45_11, all_45_6, all_45_5, all_45_4, simplifying % 16.22/3.09 | with (13), (14), (20), (21), (24), (26), (27), (28) gives: % 16.22/3.09 | (33) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : % 16.22/3.09 | (c_2Ebinary__ieee_2Eulp_2E1(all_45_11) = v0 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = v2 & % 16.22/3.09 | s(tyop_2Erealax_2Ereal, v2) = v1 & s(tyop_2Erealax_2Ereal, v0) = v1 % 16.22/3.09 | & $i(v2) & $i(v1) & $i(v0)) % 16.22/3.09 | % 16.22/3.09 | DELTA: instantiating (33) with fresh symbols all_69_0, all_69_1, all_69_2 % 16.22/3.09 | gives: % 16.22/3.09 | (34) c_2Ebinary__ieee_2Eulp_2E1(all_45_11) = all_69_2 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = all_69_0 & % 16.22/3.09 | s(tyop_2Erealax_2Ereal, all_69_0) = all_69_1 & s(tyop_2Erealax_2Ereal, % 16.22/3.09 | all_69_2) = all_69_1 & $i(all_69_0) & $i(all_69_1) & $i(all_69_2) % 16.22/3.09 | % 16.22/3.09 | ALPHA: (34) implies: % 16.22/3.09 | (35) s(tyop_2Erealax_2Ereal, all_69_2) = all_69_1 % 16.22/3.09 | (36) s(tyop_2Erealax_2Ereal, all_69_0) = all_69_1 % 16.22/3.09 | (37) c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = all_69_0 % 16.22/3.09 | (38) c_2Ebinary__ieee_2Eulp_2E1(all_45_11) = all_69_2 % 16.22/3.09 | % 16.22/3.09 | DELTA: instantiating (31) with fresh symbols all_75_0, all_75_1, all_75_2 % 16.22/3.09 | gives: % 16.22/3.09 | (39) c_2Erealax_2Ereal__neg_2E1(all_45_9) = all_75_2 & app_2E2(all_39_0, % 16.22/3.09 | all_45_9) = all_75_0 & s(tyop_2Erealax_2Ereal, all_75_0) = all_75_1 % 16.22/3.09 | & s(tyop_2Erealax_2Ereal, all_75_2) = all_75_1 & $i(all_75_0) & % 16.22/3.09 | $i(all_75_1) & $i(all_75_2) % 16.22/3.09 | % 16.22/3.09 | ALPHA: (39) implies: % 16.22/3.09 | (40) s(tyop_2Erealax_2Ereal, all_75_2) = all_75_1 % 16.22/3.09 | (41) c_2Erealax_2Ereal__neg_2E1(all_45_9) = all_75_2 % 16.22/3.09 | % 16.22/3.09 | DELTA: instantiating (32) with fresh symbols all_93_0, all_93_1, all_93_2, % 16.22/3.09 | all_93_3, all_93_4 gives: % 16.22/3.09 | (42) c_2Erealax_2Ereal__neg_2E1(all_93_1) = all_93_0 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_2) = all_93_4 & % 16.22/3.09 | c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = all_93_2 & % 16.22/3.09 | s(tyop_2Erealax_2Ereal, all_93_0) = all_93_3 & s(tyop_2Erealax_2Ereal, % 16.22/3.09 | all_93_2) = all_93_1 & s(tyop_2Erealax_2Ereal, all_93_4) = all_93_3 % 16.22/3.09 | & $i(all_93_0) & $i(all_93_1) & $i(all_93_2) & $i(all_93_3) & % 16.22/3.09 | $i(all_93_4) % 16.22/3.09 | % 16.22/3.09 | ALPHA: (42) implies: % 16.22/3.09 | (43) s(tyop_2Erealax_2Ereal, all_93_4) = all_93_3 % 16.22/3.09 | (44) s(tyop_2Erealax_2Ereal, all_93_2) = all_93_1 % 16.22/3.09 | (45) s(tyop_2Erealax_2Ereal, all_93_0) = all_93_3 % 16.22/3.09 | (46) c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_4) = all_93_2 % 16.22/3.09 | (47) c_2Ebinary__ieee_2Efloat__to__real_2E1(all_45_2) = all_93_4 % 16.22/3.09 | (48) c_2Erealax_2Ereal__neg_2E1(all_93_1) = all_93_0 % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (5) with all_69_0, all_93_2, all_45_4, simplifying % 16.22/3.09 | with (37), (46) gives: % 16.22/3.09 | (49) all_93_2 = all_69_0 % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (5) with all_45_1, all_93_4, all_45_2, simplifying % 16.22/3.09 | with (25), (47) gives: % 16.22/3.09 | (50) all_93_4 = all_45_1 % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (6) with all_45_8, all_75_2, all_45_9, simplifying % 16.22/3.09 | with (29), (41) gives: % 16.22/3.09 | (51) all_75_2 = all_45_8 % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (7) with all_45_10, all_69_2, all_45_11, % 16.22/3.09 | simplifying with (30), (38) gives: % 16.22/3.09 | (52) all_69_2 = all_45_10 % 16.22/3.09 | % 16.22/3.09 | REDUCE: (44), (49) imply: % 16.22/3.09 | (53) s(tyop_2Erealax_2Ereal, all_69_0) = all_93_1 % 16.22/3.09 | % 16.22/3.09 | REDUCE: (43), (50) imply: % 16.22/3.09 | (54) s(tyop_2Erealax_2Ereal, all_45_1) = all_93_3 % 16.22/3.09 | % 16.22/3.09 | REDUCE: (40), (51) imply: % 16.22/3.09 | (55) s(tyop_2Erealax_2Ereal, all_45_8) = all_75_1 % 16.22/3.09 | % 16.22/3.09 | REDUCE: (35), (52) imply: % 16.22/3.09 | (56) s(tyop_2Erealax_2Ereal, all_45_10) = all_69_1 % 16.22/3.09 | % 16.22/3.09 | GROUND_INST: instantiating (8) with all_45_9, all_69_1, all_45_10, % 16.22/3.09 | tyop_2Erealax_2Ereal, simplifying with (17), (56) gives: % 16.22/3.09 | (57) all_69_1 = all_45_9 % 16.22/3.10 | % 16.22/3.10 | GROUND_INST: instantiating (8) with all_45_7, all_75_1, all_45_8, % 16.22/3.10 | tyop_2Erealax_2Ereal, simplifying with (18), (55) gives: % 16.22/3.10 | (58) all_75_1 = all_45_7 % 16.22/3.10 | % 16.22/3.10 | GROUND_INST: instantiating (8) with all_45_0, all_93_3, all_45_1, % 16.22/3.10 | tyop_2Erealax_2Ereal, simplifying with (19), (54) gives: % 16.22/3.10 | (59) all_93_3 = all_45_0 % 16.22/3.10 | % 16.22/3.10 | GROUND_INST: instantiating (8) with all_69_1, all_93_1, all_69_0, % 16.22/3.10 | tyop_2Erealax_2Ereal, simplifying with (36), (53) gives: % 16.22/3.10 | (60) all_93_1 = all_69_1 % 16.22/3.10 | % 16.22/3.10 | COMBINE_EQS: (57), (60) imply: % 16.22/3.10 | (61) all_93_1 = all_45_9 % 16.22/3.10 | % 16.22/3.10 | REDUCE: (48), (61) imply: % 16.22/3.10 | (62) c_2Erealax_2Ereal__neg_2E1(all_45_9) = all_93_0 % 16.22/3.10 | % 16.22/3.10 | REDUCE: (45), (59) imply: % 16.22/3.10 | (63) s(tyop_2Erealax_2Ereal, all_93_0) = all_45_0 % 16.22/3.10 | % 16.22/3.10 | GROUND_INST: instantiating (6) with all_45_8, all_93_0, all_45_9, simplifying % 16.22/3.10 | with (29), (62) gives: % 16.22/3.10 | (64) all_93_0 = all_45_8 % 16.22/3.10 | % 16.22/3.10 | REDUCE: (63), (64) imply: % 16.22/3.10 | (65) s(tyop_2Erealax_2Ereal, all_45_8) = all_45_0 % 16.22/3.10 | % 16.22/3.10 | GROUND_INST: instantiating (8) with all_45_7, all_45_0, all_45_8, % 16.22/3.10 | tyop_2Erealax_2Ereal, simplifying with (18), (65) gives: % 16.22/3.10 | (66) all_45_0 = all_45_7 % 16.22/3.10 | % 16.22/3.10 | REDUCE: (12), (66) imply: % 16.22/3.10 | (67) $false % 16.22/3.10 | % 16.22/3.10 | CLOSE: (67) is inconsistent. % 16.22/3.10 | % 16.22/3.10 End of proof % 16.22/3.10 % SZS output end Proof for theBenchmark % 16.22/3.10 % 16.22/3.10 2498ms %------------------------------------------------------------------------------