%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO204+2 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n010.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 23:22:16 EDT 2023 % Result : Theorem 10.68s 2.27s % Output : Proof 14.62s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.08/0.12 % Problem : GEO204+2 : TPTP v8.1.2. Released v3.3.0. % 0.08/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n010.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 300 % 0.13/0.34 % DateTime : Tue Aug 29 21:28:03 EDT 2023 % 0.13/0.34 % CPUTime : % 0.19/0.62 ________ _____ % 0.19/0.62 ___ __ \_________(_)________________________________ % 0.19/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.19/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.19/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.19/0.62 % 0.19/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.19/0.62 (2023-06-19) % 0.19/0.62 % 0.19/0.62 (c) Philipp Rümmer, 2009-2023 % 0.19/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.19/0.62 Amanda Stjerna. % 0.19/0.62 Free software under BSD-3-Clause. % 0.19/0.62 % 0.19/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.19/0.62 % 0.19/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.19/0.64 Running up to 7 provers in parallel. % 0.19/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.19/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.19/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.19/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.19/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.19/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.19/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.79/1.14 Prover 1: Preprocessing ... % 2.79/1.14 Prover 4: Preprocessing ... % 3.24/1.19 Prover 2: Preprocessing ... % 3.24/1.19 Prover 6: Preprocessing ... % 3.24/1.19 Prover 3: Preprocessing ... % 3.24/1.20 Prover 0: Preprocessing ... % 3.24/1.20 Prover 5: Preprocessing ... % 5.49/1.53 Prover 5: Proving ... % 5.49/1.53 Prover 2: Proving ... % 5.49/1.54 Prover 1: Constructing countermodel ... % 5.49/1.55 Prover 6: Constructing countermodel ... % 5.49/1.55 Prover 3: Constructing countermodel ... % 6.73/1.70 Prover 4: Constructing countermodel ... % 6.97/1.72 Prover 0: Proving ... % 6.97/1.73 Prover 3: gave up % 6.97/1.74 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.97/1.74 Prover 6: gave up % 6.97/1.74 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.97/1.75 Prover 1: gave up % 6.97/1.77 Prover 9: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allMinimal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1423531889 % 6.97/1.78 Prover 8: Preprocessing ... % 6.97/1.78 Prover 7: Preprocessing ... % 7.73/1.82 Prover 9: Preprocessing ... % 7.73/1.84 Prover 7: Warning: ignoring some quantifiers % 7.73/1.86 Prover 7: Constructing countermodel ... % 7.73/1.94 Prover 8: Warning: ignoring some quantifiers % 7.73/1.98 Prover 8: Constructing countermodel ... % 8.72/2.01 Prover 7: gave up % 8.72/2.01 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.74/2.09 Prover 10: Preprocessing ... % 9.87/2.11 Prover 8: gave up % 9.96/2.12 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.96/2.13 Prover 9: Constructing countermodel ... % 9.96/2.15 Prover 11: Preprocessing ... % 9.96/2.17 Prover 10: Warning: ignoring some quantifiers % 9.96/2.20 Prover 10: Constructing countermodel ... % 10.68/2.26 Prover 10: gave up % 10.68/2.27 Prover 5: proved (1595ms) % 10.68/2.27 % 10.68/2.27 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 10.68/2.27 % 10.68/2.27 Prover 9: stopped % 10.68/2.27 Prover 2: stopped % 10.68/2.27 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 10.68/2.27 Prover 12: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=2024365391 % 10.68/2.27 Prover 0: stopped % 10.68/2.27 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 10.68/2.27 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085 % 11.33/2.32 Prover 13: Preprocessing ... % 11.33/2.33 Prover 19: Preprocessing ... % 11.33/2.33 Prover 12: Preprocessing ... % 11.33/2.33 Prover 16: Preprocessing ... % 11.33/2.38 Prover 16: Warning: ignoring some quantifiers % 11.95/2.38 Prover 16: Constructing countermodel ... % 11.95/2.40 Prover 13: Warning: ignoring some quantifiers % 12.17/2.42 Prover 13: Constructing countermodel ... % 12.17/2.43 Prover 12: stopped % 12.17/2.44 Prover 11: Constructing countermodel ... % 12.17/2.45 Prover 19: Warning: ignoring some quantifiers % 12.17/2.46 Prover 19: Constructing countermodel ... % 12.17/2.53 Prover 19: gave up % 12.17/2.54 Prover 13: gave up % 12.17/2.55 Prover 16: gave up % 13.87/2.69 Prover 11: Found proof (size 76) % 13.87/2.69 Prover 11: proved (570ms) % 13.87/2.69 Prover 4: stopped % 13.87/2.69 % 13.87/2.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 13.87/2.69 % 13.87/2.70 % SZS output start Proof for theBenchmark % 13.87/2.71 Assumptions after simplification: % 13.87/2.71 --------------------------------- % 13.87/2.71 % 13.87/2.71 (apart1) % 13.87/2.75 ! [v0: $i] : ( ~ (distinct_points(v0, v0) = 0) | ~ $i(v0)) % 13.87/2.75 % 13.87/2.75 (apart4) % 13.87/2.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : ! [v4: int] : (v4 = % 13.87/2.75 0 | v3 = 0 | ~ (distinct_points(v1, v2) = v4) | ~ (distinct_points(v0, v2) % 13.87/2.75 = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: int] : ( ~ (v5 = 0) & % 13.87/2.75 distinct_points(v0, v1) = v5)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : % 13.87/2.75 ! [v3: int] : (v3 = 0 | ~ (distinct_points(v1, v2) = v3) | ~ % 13.87/2.75 (distinct_points(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 13.87/2.75 distinct_points(v0, v2) = 0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! % 13.87/2.75 [v3: int] : (v3 = 0 | ~ (distinct_points(v0, v2) = v3) | ~ % 13.87/2.75 (distinct_points(v0, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 13.87/2.75 distinct_points(v1, v2) = 0) % 13.87/2.75 % 13.87/2.75 (con) % 13.87/2.76 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: int] : ? % 13.87/2.76 [v5: $i] : ? [v6: $i] : ? [v7: int] : ( ~ (v3 = 0) & distinct_points(v1, v2) % 13.87/2.76 = v3 & distinct_points(v0, v1) = 0 & $i(v2) & $i(v1) & $i(v0) & ((v7 = 0 & % 13.87/2.76 line_connecting(v0, v2) = v6 & line_connecting(v0, v1) = v5 & % 13.87/2.76 distinct_lines(v5, v6) = 0 & $i(v6) & $i(v5)) | ( ~ (v4 = 0) & % 13.87/2.76 distinct_points(v0, v2) = v4))) % 13.87/2.76 % 13.87/2.76 (con1) % 13.87/2.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 13.87/2.76 (line_connecting(v0, v1) = v3) | ~ (apart_point_and_line(v2, v3) = 0) | ~ % 13.87/2.76 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ? [v5: int] : ? [v6: int] % 13.87/2.76 : ((v6 = 0 & v5 = 0 & distinct_points(v2, v1) = 0 & distinct_points(v2, v0) % 13.87/2.76 = 0) | ( ~ (v4 = 0) & distinct_points(v0, v1) = v4))) % 13.87/2.76 % 13.87/2.76 (cu1) % 14.40/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 14.40/2.79 int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 14.40/2.79 (apart_point_and_line(v1, v2) = v4) | ~ (distinct_points(v0, v1) = 0) | ~ % 14.40/2.79 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : % 14.40/2.79 ? [v8: int] : ((v8 = 0 & apart_point_and_line(v0, v3) = 0) | (v7 = 0 & % 14.40/2.79 apart_point_and_line(v0, v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, % 14.40/2.79 v3) = v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 14.40/2.79 ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, % 14.40/2.79 v3) = v5) | ~ (apart_point_and_line(v0, v3) = v4) | ~ % 14.40/2.79 (distinct_lines(v2, v3) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) % 14.40/2.79 | ? [v6: int] : ? [v7: int] : ? [v8: int] : ((v8 = 0 & % 14.40/2.79 apart_point_and_line(v1, v2) = 0) | (v7 = 0 & apart_point_and_line(v0, % 14.40/2.79 v2) = 0) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0: % 14.40/2.79 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 14.40/2.79 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v3) = v5) | ~ % 14.40/2.79 (apart_point_and_line(v0, v2) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.40/2.79 $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ((v9 = % 14.40/2.79 0 & apart_point_and_line(v1, v2) = 0) | (v8 = 0 & % 14.40/2.79 apart_point_and_line(v0, v3) = 0) | ( ~ (v7 = 0) & distinct_lines(v2, % 14.40/2.79 v3) = v7) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0: % 14.40/2.79 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 14.40/2.79 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ % 14.40/2.79 (apart_point_and_line(v0, v3) = v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.40/2.79 $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ? [v9: int] : ((v9 = % 14.40/2.79 0 & apart_point_and_line(v1, v3) = 0) | (v8 = 0 & % 14.40/2.79 apart_point_and_line(v0, v2) = 0) | ( ~ (v7 = 0) & distinct_lines(v2, % 14.40/2.79 v3) = v7) | ( ~ (v6 = 0) & distinct_points(v0, v1) = v6))) & ! [v0: % 14.40/2.79 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: int] % 14.40/2.79 : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v1, v2) = v5) | ~ % 14.40/2.79 (apart_point_and_line(v0, v2) = v4) | ~ (distinct_lines(v2, v3) = 0) | ~ % 14.40/2.79 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: int] : ? [v7: int] : % 14.40/2.79 ? [v8: int] : ((v8 = 0 & apart_point_and_line(v1, v3) = 0) | (v7 = 0 & % 14.40/2.79 apart_point_and_line(v0, v3) = 0) | ( ~ (v6 = 0) & distinct_points(v0, % 14.40/2.79 v1) = v6))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : % 14.40/2.79 ! [v4: int] : ! [v5: int] : (v5 = 0 | v4 = 0 | ~ (apart_point_and_line(v0, % 14.40/2.79 v3) = v5) | ~ (apart_point_and_line(v0, v2) = v4) | ~ % 14.40/2.79 (distinct_points(v0, v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.40/2.79 $i(v0) | ? [v6: int] : ? [v7: int] : ? [v8: int] : ((v8 = 0 & % 14.40/2.79 apart_point_and_line(v1, v3) = 0) | (v7 = 0 & apart_point_and_line(v1, % 14.40/2.79 v2) = 0) | ( ~ (v6 = 0) & distinct_lines(v2, v3) = v6))) & ! [v0: $i] % 14.40/2.79 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (distinct_lines(v2, v3) = 0) | % 14.40/2.79 ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ % 14.40/2.79 $i(v0) | ? [v4: int] : ? [v5: int] : ? [v6: int] : ? [v7: int] : ((v7 = % 14.40/2.79 0 & apart_point_and_line(v1, v3) = 0) | (v6 = 0 & % 14.40/2.79 apart_point_and_line(v1, v2) = 0) | (v5 = 0 & apart_point_and_line(v0, % 14.40/2.79 v3) = 0) | (v4 = 0 & apart_point_and_line(v0, v2) = 0))) % 14.40/2.79 % 14.40/2.79 (function-axioms) % 14.40/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.40/2.79 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & % 14.40/2.79 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.40/2.79 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! % 14.40/2.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 14.40/2.79 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 14.40/2.79 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 14.40/2.79 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 14.40/2.79 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! % 14.40/2.79 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 14.40/2.79 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, % 14.40/2.79 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 14.40/2.79 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 14.40/2.79 (distinct_points(v3, v2) = v0)) % 14.40/2.79 % 14.40/2.79 Further assumptions not needed in the proof: % 14.40/2.79 -------------------------------------------- % 14.40/2.80 apart2, apart3, apart5, apart6, ceq1, ceq2, ceq3, con2 % 14.40/2.80 % 14.40/2.80 Those formulas are unsatisfiable: % 14.40/2.80 --------------------------------- % 14.40/2.80 % 14.40/2.80 Begin of proof % 14.40/2.80 | % 14.40/2.80 | ALPHA: (apart4) implies: % 14.40/2.80 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 14.40/2.80 | (distinct_points(v1, v2) = v3) | ~ (distinct_points(v0, v1) = 0) | % 14.40/2.80 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | distinct_points(v0, v2) = 0) % 14.40/2.80 | % 14.40/2.80 | ALPHA: (cu1) implies: % 14.40/2.80 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 14.40/2.80 | (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ % 14.40/2.80 | $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ? [v5: % 14.40/2.80 | int] : ? [v6: int] : ? [v7: int] : ((v7 = 0 & % 14.40/2.80 | apart_point_and_line(v1, v3) = 0) | (v6 = 0 & % 14.40/2.80 | apart_point_and_line(v1, v2) = 0) | (v5 = 0 & % 14.40/2.80 | apart_point_and_line(v0, v3) = 0) | (v4 = 0 & % 14.40/2.80 | apart_point_and_line(v0, v2) = 0))) % 14.40/2.80 | % 14.40/2.80 | ALPHA: (function-axioms) implies: % 14.40/2.80 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 14.40/2.80 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 14.40/2.80 | (distinct_points(v3, v2) = v0)) % 14.40/2.80 | % 14.40/2.80 | DELTA: instantiating (con) with fresh symbols all_15_0, all_15_1, all_15_2, % 14.40/2.80 | all_15_3, all_15_4, all_15_5, all_15_6, all_15_7 gives: % 14.40/2.81 | (4) ~ (all_15_4 = 0) & distinct_points(all_15_6, all_15_5) = all_15_4 & % 14.40/2.81 | distinct_points(all_15_7, all_15_6) = 0 & $i(all_15_5) & $i(all_15_6) & % 14.40/2.81 | $i(all_15_7) & ((all_15_0 = 0 & line_connecting(all_15_7, all_15_5) = % 14.40/2.81 | all_15_1 & line_connecting(all_15_7, all_15_6) = all_15_2 & % 14.40/2.81 | distinct_lines(all_15_2, all_15_1) = 0 & $i(all_15_1) & % 14.40/2.81 | $i(all_15_2)) | ( ~ (all_15_3 = 0) & distinct_points(all_15_7, % 14.40/2.81 | all_15_5) = all_15_3)) % 14.40/2.81 | % 14.40/2.81 | ALPHA: (4) implies: % 14.40/2.81 | (5) ~ (all_15_4 = 0) % 14.40/2.81 | (6) $i(all_15_7) % 14.40/2.81 | (7) $i(all_15_6) % 14.40/2.81 | (8) $i(all_15_5) % 14.40/2.81 | (9) distinct_points(all_15_7, all_15_6) = 0 % 14.40/2.81 | (10) distinct_points(all_15_6, all_15_5) = all_15_4 % 14.40/2.81 | (11) (all_15_0 = 0 & line_connecting(all_15_7, all_15_5) = all_15_1 & % 14.40/2.81 | line_connecting(all_15_7, all_15_6) = all_15_2 & % 14.40/2.81 | distinct_lines(all_15_2, all_15_1) = 0 & $i(all_15_1) & % 14.40/2.81 | $i(all_15_2)) | ( ~ (all_15_3 = 0) & distinct_points(all_15_7, % 14.40/2.81 | all_15_5) = all_15_3) % 14.40/2.81 | % 14.40/2.81 | GROUND_INST: instantiating (1) with all_15_7, all_15_6, all_15_5, all_15_4, % 14.40/2.81 | simplifying with (6), (7), (8), (9), (10) gives: % 14.40/2.81 | (12) all_15_4 = 0 | distinct_points(all_15_7, all_15_5) = 0 % 14.40/2.81 | % 14.40/2.81 | BETA: splitting (11) gives: % 14.40/2.81 | % 14.40/2.81 | Case 1: % 14.40/2.81 | | % 14.40/2.81 | | (13) all_15_0 = 0 & line_connecting(all_15_7, all_15_5) = all_15_1 & % 14.40/2.81 | | line_connecting(all_15_7, all_15_6) = all_15_2 & % 14.40/2.81 | | distinct_lines(all_15_2, all_15_1) = 0 & $i(all_15_1) & $i(all_15_2) % 14.40/2.81 | | % 14.40/2.81 | | ALPHA: (13) implies: % 14.56/2.82 | | (14) $i(all_15_2) % 14.56/2.82 | | (15) $i(all_15_1) % 14.56/2.82 | | (16) distinct_lines(all_15_2, all_15_1) = 0 % 14.56/2.82 | | (17) line_connecting(all_15_7, all_15_6) = all_15_2 % 14.56/2.82 | | (18) line_connecting(all_15_7, all_15_5) = all_15_1 % 14.56/2.82 | | % 14.56/2.82 | | BETA: splitting (12) gives: % 14.56/2.82 | | % 14.56/2.82 | | Case 1: % 14.56/2.82 | | | % 14.56/2.82 | | | (19) distinct_points(all_15_7, all_15_5) = 0 % 14.56/2.82 | | | % 14.56/2.82 | | | GROUND_INST: instantiating (2) with all_15_7, all_15_5, all_15_2, % 14.56/2.82 | | | all_15_1, simplifying with (6), (8), (14), (15), (16), (19) % 14.56/2.82 | | | gives: % 14.56/2.82 | | | (20) ? [v0: int] : ? [v1: int] : ? [v2: int] : ? [v3: int] : ((v3 = % 14.56/2.82 | | | 0 & apart_point_and_line(all_15_5, all_15_1) = 0) | (v2 = 0 & % 14.56/2.82 | | | apart_point_and_line(all_15_5, all_15_2) = 0) | (v1 = 0 & % 14.56/2.82 | | | apart_point_and_line(all_15_7, all_15_1) = 0) | (v0 = 0 & % 14.56/2.82 | | | apart_point_and_line(all_15_7, all_15_2) = 0)) % 14.56/2.82 | | | % 14.56/2.82 | | | DELTA: instantiating (20) with fresh symbols all_39_0, all_39_1, all_39_2, % 14.56/2.82 | | | all_39_3 gives: % 14.56/2.82 | | | (21) (all_39_0 = 0 & apart_point_and_line(all_15_5, all_15_1) = 0) | % 14.56/2.82 | | | (all_39_1 = 0 & apart_point_and_line(all_15_5, all_15_2) = 0) | % 14.56/2.82 | | | (all_39_2 = 0 & apart_point_and_line(all_15_7, all_15_1) = 0) | % 14.56/2.82 | | | (all_39_3 = 0 & apart_point_and_line(all_15_7, all_15_2) = 0) % 14.56/2.82 | | | % 14.56/2.82 | | | BETA: splitting (21) gives: % 14.56/2.82 | | | % 14.56/2.82 | | | Case 1: % 14.56/2.82 | | | | % 14.56/2.82 | | | | (22) (all_39_0 = 0 & apart_point_and_line(all_15_5, all_15_1) = 0) | % 14.56/2.82 | | | | (all_39_1 = 0 & apart_point_and_line(all_15_5, all_15_2) = 0) % 14.56/2.82 | | | | % 14.56/2.82 | | | | BETA: splitting (22) gives: % 14.56/2.82 | | | | % 14.56/2.82 | | | | Case 1: % 14.56/2.82 | | | | | % 14.56/2.82 | | | | | (23) all_39_0 = 0 & apart_point_and_line(all_15_5, all_15_1) = 0 % 14.56/2.82 | | | | | % 14.56/2.82 | | | | | ALPHA: (23) implies: % 14.56/2.82 | | | | | (24) apart_point_and_line(all_15_5, all_15_1) = 0 % 14.56/2.82 | | | | | % 14.56/2.83 | | | | | GROUND_INST: instantiating (con1) with all_15_7, all_15_5, all_15_5, % 14.56/2.83 | | | | | all_15_1, simplifying with (6), (8), (18), (24) gives: % 14.56/2.83 | | | | | (25) ? [v0: int] : ? [v1: int] : ? [v2: int] : ((v2 = 0 & v1 = 0 % 14.56/2.83 | | | | | & distinct_points(all_15_5, all_15_5) = 0 & % 14.56/2.83 | | | | | distinct_points(all_15_5, all_15_7) = 0) | ( ~ (v0 = 0) & % 14.56/2.83 | | | | | distinct_points(all_15_7, all_15_5) = v0)) % 14.56/2.83 | | | | | % 14.56/2.83 | | | | | DELTA: instantiating (25) with fresh symbols all_48_0, all_48_1, % 14.56/2.83 | | | | | all_48_2 gives: % 14.62/2.83 | | | | | (26) (all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_5, % 14.62/2.83 | | | | | all_15_5) = 0 & distinct_points(all_15_5, all_15_7) = 0) | % 14.62/2.83 | | | | | ( ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_5) = % 14.62/2.83 | | | | | all_48_2) % 14.62/2.83 | | | | | % 14.62/2.83 | | | | | BETA: splitting (26) gives: % 14.62/2.83 | | | | | % 14.62/2.83 | | | | | Case 1: % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | (27) all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_5, % 14.62/2.83 | | | | | | all_15_5) = 0 & distinct_points(all_15_5, all_15_7) = 0 % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | ALPHA: (27) implies: % 14.62/2.83 | | | | | | (28) distinct_points(all_15_5, all_15_5) = 0 % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | GROUND_INST: instantiating (apart1) with all_15_5, simplifying with % 14.62/2.83 | | | | | | (8), (28) gives: % 14.62/2.83 | | | | | | (29) $false % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | CLOSE: (29) is inconsistent. % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | Case 2: % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | (30) ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_5) = % 14.62/2.83 | | | | | | all_48_2 % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | ALPHA: (30) implies: % 14.62/2.83 | | | | | | (31) ~ (all_48_2 = 0) % 14.62/2.83 | | | | | | (32) distinct_points(all_15_7, all_15_5) = all_48_2 % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | GROUND_INST: instantiating (3) with 0, all_48_2, all_15_5, all_15_7, % 14.62/2.83 | | | | | | simplifying with (19), (32) gives: % 14.62/2.83 | | | | | | (33) all_48_2 = 0 % 14.62/2.83 | | | | | | % 14.62/2.83 | | | | | | REDUCE: (31), (33) imply: % 14.62/2.84 | | | | | | (34) $false % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | CLOSE: (34) is inconsistent. % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | End of split % 14.62/2.84 | | | | | % 14.62/2.84 | | | | Case 2: % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | (35) all_39_1 = 0 & apart_point_and_line(all_15_5, all_15_2) = 0 % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | ALPHA: (35) implies: % 14.62/2.84 | | | | | (36) apart_point_and_line(all_15_5, all_15_2) = 0 % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | GROUND_INST: instantiating (con1) with all_15_7, all_15_6, all_15_5, % 14.62/2.84 | | | | | all_15_2, simplifying with (6), (7), (8), (17), (36) % 14.62/2.84 | | | | | gives: % 14.62/2.84 | | | | | (37) ? [v0: int] : ? [v1: int] : ? [v2: int] : ((v2 = 0 & v1 = 0 % 14.62/2.84 | | | | | & distinct_points(all_15_5, all_15_6) = 0 & % 14.62/2.84 | | | | | distinct_points(all_15_5, all_15_7) = 0) | ( ~ (v0 = 0) & % 14.62/2.84 | | | | | distinct_points(all_15_7, all_15_6) = v0)) % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | DELTA: instantiating (37) with fresh symbols all_48_0, all_48_1, % 14.62/2.84 | | | | | all_48_2 gives: % 14.62/2.84 | | | | | (38) (all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_5, % 14.62/2.84 | | | | | all_15_6) = 0 & distinct_points(all_15_5, all_15_7) = 0) | % 14.62/2.84 | | | | | ( ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_6) = % 14.62/2.84 | | | | | all_48_2) % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | BETA: splitting (38) gives: % 14.62/2.84 | | | | | % 14.62/2.84 | | | | | Case 1: % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | (39) all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_5, % 14.62/2.84 | | | | | | all_15_6) = 0 & distinct_points(all_15_5, all_15_7) = 0 % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | ALPHA: (39) implies: % 14.62/2.84 | | | | | | (40) distinct_points(all_15_5, all_15_6) = 0 % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | GROUND_INST: instantiating (1) with all_15_5, all_15_6, all_15_5, % 14.62/2.84 | | | | | | all_15_4, simplifying with (7), (8), (10), (40) gives: % 14.62/2.84 | | | | | | (41) all_15_4 = 0 | distinct_points(all_15_5, all_15_5) = 0 % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | BETA: splitting (41) gives: % 14.62/2.84 | | | | | | % 14.62/2.84 | | | | | | Case 1: % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | | (42) distinct_points(all_15_5, all_15_5) = 0 % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | | GROUND_INST: instantiating (apart1) with all_15_5, simplifying % 14.62/2.84 | | | | | | | with (8), (42) gives: % 14.62/2.84 | | | | | | | (43) $false % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | | CLOSE: (43) is inconsistent. % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | Case 2: % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | | (44) all_15_4 = 0 % 14.62/2.84 | | | | | | | % 14.62/2.84 | | | | | | | REDUCE: (5), (44) imply: % 14.62/2.85 | | | | | | | (45) $false % 14.62/2.85 | | | | | | | % 14.62/2.85 | | | | | | | CLOSE: (45) is inconsistent. % 14.62/2.85 | | | | | | | % 14.62/2.85 | | | | | | End of split % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | Case 2: % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | (46) ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_6) = % 14.62/2.85 | | | | | | all_48_2 % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | ALPHA: (46) implies: % 14.62/2.85 | | | | | | (47) ~ (all_48_2 = 0) % 14.62/2.85 | | | | | | (48) distinct_points(all_15_7, all_15_6) = all_48_2 % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | GROUND_INST: instantiating (3) with 0, all_48_2, all_15_6, all_15_7, % 14.62/2.85 | | | | | | simplifying with (9), (48) gives: % 14.62/2.85 | | | | | | (49) all_48_2 = 0 % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | REDUCE: (47), (49) imply: % 14.62/2.85 | | | | | | (50) $false % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | CLOSE: (50) is inconsistent. % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | End of split % 14.62/2.85 | | | | | % 14.62/2.85 | | | | End of split % 14.62/2.85 | | | | % 14.62/2.85 | | | Case 2: % 14.62/2.85 | | | | % 14.62/2.85 | | | | (51) (all_39_2 = 0 & apart_point_and_line(all_15_7, all_15_1) = 0) | % 14.62/2.85 | | | | (all_39_3 = 0 & apart_point_and_line(all_15_7, all_15_2) = 0) % 14.62/2.85 | | | | % 14.62/2.85 | | | | BETA: splitting (51) gives: % 14.62/2.85 | | | | % 14.62/2.85 | | | | Case 1: % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | (52) all_39_2 = 0 & apart_point_and_line(all_15_7, all_15_1) = 0 % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | ALPHA: (52) implies: % 14.62/2.85 | | | | | (53) apart_point_and_line(all_15_7, all_15_1) = 0 % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | GROUND_INST: instantiating (con1) with all_15_7, all_15_5, all_15_7, % 14.62/2.85 | | | | | all_15_1, simplifying with (6), (8), (18), (53) gives: % 14.62/2.85 | | | | | (54) ? [v0: int] : ? [v1: int] : ? [v2: int] : ((v2 = 0 & v1 = 0 % 14.62/2.85 | | | | | & distinct_points(all_15_7, all_15_5) = 0 & % 14.62/2.85 | | | | | distinct_points(all_15_7, all_15_7) = 0) | ( ~ (v0 = 0) & % 14.62/2.85 | | | | | distinct_points(all_15_7, all_15_5) = v0)) % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | DELTA: instantiating (54) with fresh symbols all_48_0, all_48_1, % 14.62/2.85 | | | | | all_48_2 gives: % 14.62/2.85 | | | | | (55) (all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_7, % 14.62/2.85 | | | | | all_15_5) = 0 & distinct_points(all_15_7, all_15_7) = 0) | % 14.62/2.85 | | | | | ( ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_5) = % 14.62/2.85 | | | | | all_48_2) % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | BETA: splitting (55) gives: % 14.62/2.85 | | | | | % 14.62/2.85 | | | | | Case 1: % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | (56) all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_7, % 14.62/2.85 | | | | | | all_15_5) = 0 & distinct_points(all_15_7, all_15_7) = 0 % 14.62/2.85 | | | | | | % 14.62/2.85 | | | | | | ALPHA: (56) implies: % 14.62/2.86 | | | | | | (57) distinct_points(all_15_7, all_15_7) = 0 % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | GROUND_INST: instantiating (apart1) with all_15_7, simplifying with % 14.62/2.86 | | | | | | (6), (57) gives: % 14.62/2.86 | | | | | | (58) $false % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | CLOSE: (58) is inconsistent. % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | Case 2: % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | (59) ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_5) = % 14.62/2.86 | | | | | | all_48_2 % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | ALPHA: (59) implies: % 14.62/2.86 | | | | | | (60) ~ (all_48_2 = 0) % 14.62/2.86 | | | | | | (61) distinct_points(all_15_7, all_15_5) = all_48_2 % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | GROUND_INST: instantiating (3) with 0, all_48_2, all_15_5, all_15_7, % 14.62/2.86 | | | | | | simplifying with (19), (61) gives: % 14.62/2.86 | | | | | | (62) all_48_2 = 0 % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | REDUCE: (60), (62) imply: % 14.62/2.86 | | | | | | (63) $false % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | CLOSE: (63) is inconsistent. % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | End of split % 14.62/2.86 | | | | | % 14.62/2.86 | | | | Case 2: % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | (64) all_39_3 = 0 & apart_point_and_line(all_15_7, all_15_2) = 0 % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | ALPHA: (64) implies: % 14.62/2.86 | | | | | (65) apart_point_and_line(all_15_7, all_15_2) = 0 % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | GROUND_INST: instantiating (con1) with all_15_7, all_15_6, all_15_7, % 14.62/2.86 | | | | | all_15_2, simplifying with (6), (7), (17), (65) gives: % 14.62/2.86 | | | | | (66) ? [v0: int] : ? [v1: int] : ? [v2: int] : ((v2 = 0 & v1 = 0 % 14.62/2.86 | | | | | & distinct_points(all_15_7, all_15_6) = 0 & % 14.62/2.86 | | | | | distinct_points(all_15_7, all_15_7) = 0) | ( ~ (v0 = 0) & % 14.62/2.86 | | | | | distinct_points(all_15_7, all_15_6) = v0)) % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | DELTA: instantiating (66) with fresh symbols all_48_0, all_48_1, % 14.62/2.86 | | | | | all_48_2 gives: % 14.62/2.86 | | | | | (67) (all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_7, % 14.62/2.86 | | | | | all_15_6) = 0 & distinct_points(all_15_7, all_15_7) = 0) | % 14.62/2.86 | | | | | ( ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_6) = % 14.62/2.86 | | | | | all_48_2) % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | BETA: splitting (67) gives: % 14.62/2.86 | | | | | % 14.62/2.86 | | | | | Case 1: % 14.62/2.86 | | | | | | % 14.62/2.86 | | | | | | (68) all_48_0 = 0 & all_48_1 = 0 & distinct_points(all_15_7, % 14.62/2.86 | | | | | | all_15_6) = 0 & distinct_points(all_15_7, all_15_7) = 0 % 14.62/2.86 | | | | | | % 14.62/2.87 | | | | | | ALPHA: (68) implies: % 14.62/2.87 | | | | | | (69) distinct_points(all_15_7, all_15_7) = 0 % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | GROUND_INST: instantiating (apart1) with all_15_7, simplifying with % 14.62/2.87 | | | | | | (6), (69) gives: % 14.62/2.87 | | | | | | (70) $false % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | CLOSE: (70) is inconsistent. % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | Case 2: % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | (71) ~ (all_48_2 = 0) & distinct_points(all_15_7, all_15_6) = % 14.62/2.87 | | | | | | all_48_2 % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | ALPHA: (71) implies: % 14.62/2.87 | | | | | | (72) ~ (all_48_2 = 0) % 14.62/2.87 | | | | | | (73) distinct_points(all_15_7, all_15_6) = all_48_2 % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | GROUND_INST: instantiating (3) with 0, all_48_2, all_15_6, all_15_7, % 14.62/2.87 | | | | | | simplifying with (9), (73) gives: % 14.62/2.87 | | | | | | (74) all_48_2 = 0 % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | REDUCE: (72), (74) imply: % 14.62/2.87 | | | | | | (75) $false % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | | CLOSE: (75) is inconsistent. % 14.62/2.87 | | | | | | % 14.62/2.87 | | | | | End of split % 14.62/2.87 | | | | | % 14.62/2.87 | | | | End of split % 14.62/2.87 | | | | % 14.62/2.87 | | | End of split % 14.62/2.87 | | | % 14.62/2.87 | | Case 2: % 14.62/2.87 | | | % 14.62/2.87 | | | (76) all_15_4 = 0 % 14.62/2.87 | | | % 14.62/2.87 | | | REDUCE: (5), (76) imply: % 14.62/2.87 | | | (77) $false % 14.62/2.87 | | | % 14.62/2.87 | | | CLOSE: (77) is inconsistent. % 14.62/2.87 | | | % 14.62/2.87 | | End of split % 14.62/2.87 | | % 14.62/2.87 | Case 2: % 14.62/2.87 | | % 14.62/2.87 | | (78) ~ (all_15_3 = 0) & distinct_points(all_15_7, all_15_5) = all_15_3 % 14.62/2.87 | | % 14.62/2.87 | | ALPHA: (78) implies: % 14.62/2.87 | | (79) ~ (all_15_3 = 0) % 14.62/2.87 | | (80) distinct_points(all_15_7, all_15_5) = all_15_3 % 14.62/2.87 | | % 14.62/2.87 | | BETA: splitting (12) gives: % 14.62/2.87 | | % 14.62/2.87 | | Case 1: % 14.62/2.87 | | | % 14.62/2.87 | | | (81) distinct_points(all_15_7, all_15_5) = 0 % 14.62/2.87 | | | % 14.62/2.87 | | | GROUND_INST: instantiating (3) with 0, all_15_3, all_15_5, all_15_7, % 14.62/2.87 | | | simplifying with (80), (81) gives: % 14.62/2.87 | | | (82) all_15_3 = 0 % 14.62/2.87 | | | % 14.62/2.87 | | | REDUCE: (79), (82) imply: % 14.62/2.87 | | | (83) $false % 14.62/2.87 | | | % 14.62/2.87 | | | CLOSE: (83) is inconsistent. % 14.62/2.87 | | | % 14.62/2.87 | | Case 2: % 14.62/2.87 | | | % 14.62/2.87 | | | (84) all_15_4 = 0 % 14.62/2.87 | | | % 14.62/2.87 | | | REDUCE: (5), (84) imply: % 14.62/2.87 | | | (85) $false % 14.62/2.87 | | | % 14.62/2.87 | | | CLOSE: (85) is inconsistent. % 14.62/2.87 | | | % 14.62/2.87 | | End of split % 14.62/2.87 | | % 14.62/2.87 | End of split % 14.62/2.87 | % 14.62/2.87 End of proof % 14.62/2.87 % SZS output end Proof for theBenchmark % 14.62/2.87 % 14.62/2.87 2248ms %------------------------------------------------------------------------------