%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO524+1 : TPTP v8.1.2. Released v7.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Aug 30 23:23:35 EDT 2023 % Result : Theorem 21.92s 3.70s % Output : Proof 37.72s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO524+1 : TPTP v8.1.2. Released v7.0.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.12/0.34 % Computer : n022.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 300 % 0.12/0.34 % DateTime : Tue Aug 29 22:00:38 EDT 2023 % 0.12/0.35 % CPUTime : % 0.66/0.65 ________ _____ % 0.66/0.65 ___ __ \_________(_)________________________________ % 0.66/0.65 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.66/0.65 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.66/0.65 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.66/0.65 % 0.66/0.65 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.66/0.65 (2023-06-19) % 0.66/0.65 % 0.66/0.65 (c) Philipp Rümmer, 2009-2023 % 0.66/0.65 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.66/0.65 Amanda Stjerna. % 0.66/0.65 Free software under BSD-3-Clause. % 0.66/0.65 % 0.66/0.65 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.66/0.65 % 0.66/0.65 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.66/0.66 Running up to 7 provers in parallel. % 0.66/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.68 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 9.32/1.95 Prover 4: Preprocessing ... % 9.46/2.00 Prover 1: Preprocessing ... % 9.46/2.00 Prover 2: Preprocessing ... % 9.46/2.00 Prover 6: Preprocessing ... % 9.46/2.00 Prover 3: Preprocessing ... % 9.46/2.00 Prover 0: Preprocessing ... % 9.46/2.00 Prover 5: Preprocessing ... % 20.73/3.49 Prover 5: Proving ... % 20.73/3.50 Prover 2: Proving ... % 20.73/3.53 Prover 6: Proving ... % 20.73/3.53 Prover 1: Warning: ignoring some quantifiers % 21.92/3.64 Prover 3: Warning: ignoring some quantifiers % 21.92/3.66 Prover 1: Constructing countermodel ... % 21.92/3.70 Prover 2: proved (3025ms) % 21.92/3.70 % 21.92/3.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 21.92/3.70 % 21.92/3.70 Prover 3: Constructing countermodel ... % 21.92/3.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 21.92/3.70 Prover 5: stopped % 21.92/3.71 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 21.92/3.71 Prover 6: stopped % 21.92/3.71 Prover 3: stopped % 21.92/3.71 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 21.92/3.71 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 25.76/4.16 Prover 8: Preprocessing ... % 25.76/4.16 Prover 7: Preprocessing ... % 25.76/4.16 Prover 10: Preprocessing ... % 25.76/4.17 Prover 11: Preprocessing ... % 29.67/4.67 Prover 7: Warning: ignoring some quantifiers % 29.67/4.68 Prover 10: Warning: ignoring some quantifiers % 30.52/4.76 Prover 10: Constructing countermodel ... % 30.52/4.77 Prover 7: Constructing countermodel ... % 30.91/4.85 Prover 4: Constructing countermodel ... % 31.30/4.89 Prover 8: Warning: ignoring some quantifiers % 31.96/4.95 Prover 0: Proving ... % 31.96/4.95 Prover 0: stopped % 31.96/4.97 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 31.96/4.98 Prover 8: Constructing countermodel ... % 33.60/5.17 Prover 13: Preprocessing ... % 35.06/5.36 Prover 7: Found proof (size 17) % 35.06/5.36 Prover 7: proved (1658ms) % 35.06/5.36 Prover 8: stopped % 35.15/5.36 Prover 4: stopped % 35.15/5.36 Prover 13: stopped % 35.15/5.37 Prover 1: stopped % 35.15/5.37 Prover 10: stopped % 36.83/5.80 Prover 11: Constructing countermodel ... % 37.11/5.86 Prover 11: stopped % 37.11/5.86 % 37.11/5.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 37.11/5.86 % 37.11/5.87 % SZS output start Proof for theBenchmark % 37.29/5.89 Assumptions after simplification: % 37.29/5.89 --------------------------------- % 37.29/5.89 % 37.29/5.89 (aSatz10_5) % 37.29/5.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 37.29/5.93 (reflect(v0, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | reflect(v0, % 37.29/5.93 v1, v3) = v2) % 37.29/5.93 % 37.29/5.93 (aSatz10_7) % 37.29/5.93 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~ (v3 % 37.29/5.93 = v2) & ~ (v1 = v0) & reflect(v0, v1, v3) = v4 & reflect(v0, v1, v2) = v4 % 37.29/5.94 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0)) % 37.29/5.94 % 37.29/5.94 (function-axioms) % 37.57/5.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 37.57/5.96 $i] : ! [v6: $i] : ! [v7: $i] : (v1 = v0 | ~ (crossbar(v7, v6, v5, v4, % 37.57/5.96 v3, v2) = v1) | ~ (crossbar(v7, v6, v5, v4, v3, v2) = v0)) & ! [v0: % 37.57/5.96 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : % 37.57/5.96 ! [v6: $i] : (v1 = v0 | ~ (g811(v6, v5, v4, v3, v2) = v1) | ~ (g811(v6, v5, % 37.57/5.96 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 37.57/5.96 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (f811(v6, v5, % 37.57/5.96 v4, v3, v2) = v1) | ~ (f811(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : % 37.57/5.96 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 37.57/5.96 $i] : (v1 = v0 | ~ (op(v6, v5, v4, v3, v2) = v1) | ~ (op(v6, v5, v4, v3, % 37.57/5.96 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 37.57/5.96 [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (midpointAux(v6, v5, v4, % 37.57/5.96 v3, v2) = v1) | ~ (midpointAux(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] % 37.57/5.96 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! % 37.57/5.96 [v6: $i] : (v1 = v0 | ~ (g813(v6, v5, v4, v3, v2) = v1) | ~ (g813(v6, v5, % 37.57/5.96 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 37.57/5.96 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (f813(v6, v5, % 37.57/5.96 v4, v3, v2) = v1) | ~ (f813(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : % 37.57/5.96 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: % 37.57/5.96 $i] : (v1 = v0 | ~ (insert5(v6, v5, v4, v3, v2) = v1) | ~ (insert5(v6, v5, % 37.57/5.96 v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: % 37.57/5.96 $i] : ! [v4: $i] : ! [v5: $i] : ! [v6: $i] : (v1 = v0 | ~ (ip(v6, v5, % 37.57/5.96 v4, v3, v2) = v1) | ~ (ip(v6, v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! % 37.57/5.96 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | % 37.57/5.96 ~ (ss3(v5, v4, v3, v2) = v1) | ~ (ss3(v5, v4, v3, v2) = v0)) & ! [v0: $i] % 37.57/5.96 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = % 37.57/5.96 v0 | ~ (ss2(v5, v4, v3, v2) = v1) | ~ (ss2(v5, v4, v3, v2) = v0)) & ! % 37.57/5.96 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: $i] % 37.57/5.96 : (v1 = v0 | ~ (ss1(v5, v4, v3, v2) = v1) | ~ (ss1(v5, v4, v3, v2) = v0)) & % 37.57/5.96 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5: % 37.57/5.96 $i] : (v1 = v0 | ~ (il(v5, v4, v3, v2) = v1) | ~ (il(v5, v4, v3, v2) = % 37.57/5.96 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] % 37.57/5.96 : ! [v5: $i] : (v1 = v0 | ~ (ins(v5, v4, v3, v2) = v1) | ~ (ins(v5, v4, v3, % 37.57/5.96 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! % 37.57/5.96 [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (insert(v5, v4, v3, v2) = v1) | ~ % 37.57/5.96 (insert(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 37.57/5.96 ! [v3: $i] : ! [v4: $i] : ! [v5: $i] : (v1 = v0 | ~ (ext(v5, v4, v3, v2) = % 37.57/5.96 v1) | ~ (ext(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 37.57/5.96 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (reflect(v4, v3, v2) = v1) | % 37.57/5.96 ~ (reflect(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 37.57/5.96 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (erectAux(v4, v3, v2) = v1) | ~ % 37.57/5.96 (erectAux(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 37.57/5.96 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (erect(v4, v3, v2) = v1) | ~ % 37.57/5.96 (erect(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 37.57/5.96 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (erectAux21a(v4, v3, v2) = v1) | ~ % 37.57/5.96 (erectAux21a(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 37.57/5.96 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (erect21a(v4, v3, v2) = v1) | ~ % 37.57/5.96 (erect21a(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 37.57/5.96 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (foot(v4, v3, v2) = v1) | ~ (foot(v4, % 37.57/5.96 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 37.57/5.96 ! [v4: $i] : (v1 = v0 | ~ (isomidpoint(v4, v3, v2) = v1) | ~ % 37.57/5.96 (isomidpoint(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 37.57/5.96 ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (c63(v4, v3, v2) = v1) | ~ (c63(v4, % 37.57/5.96 v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 37.57/5.96 (v1 = v0 | ~ (midpoint(v3, v2) = v1) | ~ (midpoint(v3, v2) = v0)) & ! [v0: % 37.57/5.96 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (s(v3, v2) = % 37.57/5.96 v1) | ~ (s(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 37.57/5.96 [v3: $i] : (v1 = v0 | ~ (pointOffLine(v3, v2) = v1) | ~ (pointOffLine(v3, % 37.57/5.96 v2) = v0)) % 37.57/5.96 % 37.57/5.96 Further assumptions not needed in the proof: % 37.57/5.96 -------------------------------------------- % 37.57/5.96 aA1, aA2, aA3, aA4, aA5, aA6, aA7, aA8, aExtCol2, aExtPerp, aExtPerp2, % 37.57/5.96 aExtPerp3, aExtPerp4, aExtPerp5, aExtPerp6, aExtSameSide1, aExtSameSide2, % 37.57/5.96 aLemma9_13a, aLemma9_13b, aLemma9_13c, aLemma9_13d, aLemma9_13e, aLemma9_13f, % 37.57/5.96 aLemma9_13f_case1, aLemma9_13f_case2, aLemma9_13g, aNarbouxLemma1, aSatz10_2a, % 37.57/5.96 aSatz10_2b, aSatz10_4, aSatz10_6, aSatz2_1, aSatz2_11, aSatz2_12, aSatz2_13, % 37.57/5.96 aSatz2_14, aSatz2_15, aSatz2_2, aSatz2_3, aSatz2_4, aSatz2_5, aSatz2_8, % 37.57/5.96 aSatz3_1, aSatz3_13a, aSatz3_13b, aSatz3_13c, aSatz3_14a, aSatz3_14b, aSatz3_17, % 37.57/5.96 aSatz3_2, aSatz3_3, aSatz3_4, aSatz3_5a, aSatz3_5b, aSatz3_6a, aSatz3_6b, % 37.57/5.96 aSatz3_7a, aSatz3_7b, aSatz4_11a, aSatz4_11b, aSatz4_11c, aSatz4_11d, % 37.57/5.96 aSatz4_11e, aSatz4_12, aSatz4_12b, aSatz4_13, aSatz4_14, aSatz4_16, aSatz4_17, % 37.57/5.96 aSatz4_18, aSatz4_19, aSatz4_2, aSatz4_3, aSatz4_5, aSatz4_6, aSatz5_1, % 37.57/5.96 aSatz5_10, aSatz5_11, aSatz5_12a1, aSatz5_12a2, aSatz5_12b, aSatz5_2, aSatz5_3, % 37.57/5.96 aSatz5_5a, aSatz5_5b, aSatz5_6, aSatz5_7, aSatz5_8, aSatz5_9, aSatz6_11a, % 37.57/5.96 aSatz6_11b, aSatz6_13a, aSatz6_13b, aSatz6_15a, aSatz6_15b, aSatz6_15c, % 37.57/5.96 aSatz6_15d, aSatz6_16a, aSatz6_16b, aSatz6_17a, aSatz6_17b, aSatz6_18, % 37.57/5.96 aSatz6_21, aSatz6_25, aSatz6_28, aSatz6_2a, aSatz6_2b, aSatz6_3a, aSatz6_3b, % 37.57/5.96 aSatz6_4a, aSatz6_4b, aSatz6_5, aSatz6_6, aSatz6_7, aSatz7_10a, aSatz7_10b, % 37.57/5.96 aSatz7_13, aSatz7_15a, aSatz7_15b, aSatz7_16a, aSatz7_16b, aSatz7_17, aSatz7_18, % 37.57/5.96 aSatz7_19, aSatz7_2, aSatz7_20, aSatz7_21, aSatz7_22, aSatz7_22a, aSatz7_22b, % 37.57/5.96 aSatz7_25, aSatz7_3a, aSatz7_3b, aSatz7_4a, aSatz7_4b, aSatz7_6, aSatz7_7, % 37.57/5.96 aSatz7_8, aSatz7_9, aSatz8_10, aSatz8_12a, aSatz8_12b, aSatz8_13a, aSatz8_13b, % 37.57/5.96 aSatz8_14a, aSatz8_14b, aSatz8_14c, aSatz8_15, aSatz8_16a, aSatz8_16b, % 37.57/5.96 aSatz8_18, aSatz8_18a, aSatz8_2, aSatz8_20a, aSatz8_20b, aSatz8_21, aSatz8_21a, % 37.57/5.96 aSatz8_22, aSatz8_22b, aSatz8_24, aSatz8_24a, aSatz8_24b, aSatz8_3, aSatz8_4, % 37.57/5.96 aSatz8_5, aSatz8_6, aSatz8_7, aSatz8_8, aSatz8_9, aSatz9_13, aSatz9_16, % 37.57/5.96 aSatz9_19b, aSatz9_2, aSatz9_3, aSatz9_3a, aSatz9_4, aSatz9_4a, aSatz9_4a2, % 37.57/5.96 aSatz9_4b, aSatz9_4c, aSatz9_5, aSatz9_6, aSatz9_8, aSatz9_9, aSideReflect, % 37.57/5.96 aext1, aperp1, d_Defn2_10, d_Defn4_1, d_Defn4_10, d_Defn4_15, d_Defn4_4, % 37.57/5.96 d_Defn5_4, d_Defn6_1, d_Defn7_1, d_Defn7_23, d_Defn8_1, d_Defn8_11a, % 37.57/5.96 d_Defn8_11b, d_Defn9_1, d_Defn9_7, d_insert % 37.57/5.96 % 37.57/5.96 Those formulas are unsatisfiable: % 37.57/5.96 --------------------------------- % 37.57/5.96 % 37.57/5.96 Begin of proof % 37.57/5.96 | % 37.57/5.96 | ALPHA: (function-axioms) implies: % 37.57/5.97 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : % 37.57/5.97 | (v1 = v0 | ~ (reflect(v4, v3, v2) = v1) | ~ (reflect(v4, v3, v2) = % 37.57/5.97 | v0)) % 37.57/5.97 | % 37.57/5.97 | DELTA: instantiating (aSatz10_7) with fresh symbols all_200_0, all_200_1, % 37.57/5.97 | all_200_2, all_200_3, all_200_4 gives: % 37.57/5.97 | (2) ~ (all_200_1 = all_200_2) & ~ (all_200_3 = all_200_4) & % 37.57/5.97 | reflect(all_200_4, all_200_3, all_200_1) = all_200_0 & % 37.57/5.97 | reflect(all_200_4, all_200_3, all_200_2) = all_200_0 & $i(all_200_0) & % 37.57/5.97 | $i(all_200_1) & $i(all_200_2) & $i(all_200_3) & $i(all_200_4) % 37.57/5.97 | % 37.57/5.97 | ALPHA: (2) implies: % 37.57/5.97 | (3) ~ (all_200_3 = all_200_4) % 37.57/5.97 | (4) ~ (all_200_1 = all_200_2) % 37.57/5.97 | (5) $i(all_200_4) % 37.57/5.97 | (6) $i(all_200_3) % 37.57/5.97 | (7) $i(all_200_2) % 37.57/5.97 | (8) $i(all_200_1) % 37.57/5.97 | (9) reflect(all_200_4, all_200_3, all_200_2) = all_200_0 % 37.57/5.97 | (10) reflect(all_200_4, all_200_3, all_200_1) = all_200_0 % 37.57/5.97 | % 37.57/5.97 | GROUND_INST: instantiating (aSatz10_5) with all_200_4, all_200_3, all_200_2, % 37.57/5.97 | all_200_0, simplifying with (5), (6), (7), (9) gives: % 37.57/5.97 | (11) all_200_3 = all_200_4 | reflect(all_200_4, all_200_3, all_200_0) = % 37.57/5.97 | all_200_2 % 37.57/5.97 | % 37.57/5.97 | GROUND_INST: instantiating (aSatz10_5) with all_200_4, all_200_3, all_200_1, % 37.57/5.97 | all_200_0, simplifying with (5), (6), (8), (10) gives: % 37.57/5.97 | (12) all_200_3 = all_200_4 | reflect(all_200_4, all_200_3, all_200_0) = % 37.57/5.97 | all_200_1 % 37.57/5.97 | % 37.57/5.97 | BETA: splitting (12) gives: % 37.57/5.97 | % 37.57/5.97 | Case 1: % 37.57/5.97 | | % 37.57/5.97 | | (13) reflect(all_200_4, all_200_3, all_200_0) = all_200_1 % 37.57/5.97 | | % 37.72/5.97 | | BETA: splitting (11) gives: % 37.72/5.97 | | % 37.72/5.97 | | Case 1: % 37.72/5.97 | | | % 37.72/5.97 | | | (14) reflect(all_200_4, all_200_3, all_200_0) = all_200_2 % 37.72/5.97 | | | % 37.72/5.97 | | | GROUND_INST: instantiating (1) with all_200_2, all_200_1, all_200_0, % 37.72/5.97 | | | all_200_3, all_200_4, simplifying with (13), (14) gives: % 37.72/5.97 | | | (15) all_200_1 = all_200_2 % 37.72/5.97 | | | % 37.72/5.97 | | | REDUCE: (4), (15) imply: % 37.72/5.97 | | | (16) $false % 37.72/5.97 | | | % 37.72/5.97 | | | CLOSE: (16) is inconsistent. % 37.72/5.97 | | | % 37.72/5.97 | | Case 2: % 37.72/5.97 | | | % 37.72/5.97 | | | (17) all_200_3 = all_200_4 % 37.72/5.97 | | | % 37.72/5.97 | | | REDUCE: (3), (17) imply: % 37.72/5.97 | | | (18) $false % 37.72/5.97 | | | % 37.72/5.97 | | | CLOSE: (18) is inconsistent. % 37.72/5.97 | | | % 37.72/5.97 | | End of split % 37.72/5.97 | | % 37.72/5.97 | Case 2: % 37.72/5.97 | | % 37.72/5.97 | | (19) all_200_3 = all_200_4 % 37.72/5.97 | | % 37.72/5.97 | | REDUCE: (3), (19) imply: % 37.72/5.97 | | (20) $false % 37.72/5.97 | | % 37.72/5.97 | | CLOSE: (20) is inconsistent. % 37.72/5.97 | | % 37.72/5.97 | End of split % 37.72/5.97 | % 37.72/5.97 End of proof % 37.72/5.97 % SZS output end Proof for theBenchmark % 37.72/5.98 % 37.72/5.98 5321ms %------------------------------------------------------------------------------