%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n016.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 23:21:55 EDT 2023 % Result : Theorem 8.49s 1.87s % Output : Proof 10.99s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.06/0.12 % Problem : GEO179+3 : TPTP v8.1.2. Released v4.0.0. % 0.06/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.34 % Computer : n016.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 20:12:16 EDT 2023 % 0.13/0.34 % CPUTime : % 0.20/0.59 ________ _____ % 0.20/0.59 ___ __ \_________(_)________________________________ % 0.20/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.20/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.20/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.20/0.59 % 0.20/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.20/0.59 (2023-06-19) % 0.20/0.59 % 0.20/0.59 (c) Philipp Rümmer, 2009-2023 % 0.20/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.20/0.59 Amanda Stjerna. % 0.20/0.59 Free software under BSD-3-Clause. % 0.20/0.59 % 0.20/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.20/0.59 % 0.20/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.20/0.60 Running up to 7 provers in parallel. % 0.66/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.66/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.66/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.66/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.66/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.66/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.66/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.86/1.14 Prover 4: Preprocessing ... % 2.86/1.14 Prover 1: Preprocessing ... % 3.56/1.18 Prover 6: Preprocessing ... % 3.56/1.18 Prover 5: Preprocessing ... % 3.56/1.18 Prover 2: Preprocessing ... % 3.56/1.18 Prover 0: Preprocessing ... % 3.56/1.19 Prover 3: Preprocessing ... % 6.28/1.57 Prover 2: Proving ... % 6.28/1.57 Prover 5: Proving ... % 6.96/1.65 Prover 6: Constructing countermodel ... % 6.96/1.67 Prover 3: Constructing countermodel ... % 6.96/1.67 Prover 1: Constructing countermodel ... % 8.49/1.87 Prover 6: proved (1250ms) % 8.49/1.87 % 8.49/1.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.49/1.87 % 8.49/1.89 Prover 3: proved (1251ms) % 8.49/1.89 % 8.49/1.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 8.49/1.89 % 8.49/1.90 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 8.49/1.90 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 8.49/1.90 Prover 2: stopped % 8.49/1.91 Prover 5: stopped % 9.07/1.93 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 9.07/1.93 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 9.07/1.95 Prover 7: Preprocessing ... % 9.07/1.95 Prover 4: Constructing countermodel ... % 9.07/1.96 Prover 10: Preprocessing ... % 9.07/1.97 Prover 8: Preprocessing ... % 9.07/1.97 Prover 11: Preprocessing ... % 9.07/1.98 Prover 0: Proving ... % 9.49/2.00 Prover 0: stopped % 9.49/2.02 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 9.49/2.02 Prover 7: Warning: ignoring some quantifiers % 9.49/2.04 Prover 7: Constructing countermodel ... % 9.49/2.04 Prover 10: Warning: ignoring some quantifiers % 10.09/2.06 Prover 1: Found proof (size 52) % 10.09/2.06 Prover 1: proved (1446ms) % 10.09/2.06 Prover 13: Preprocessing ... % 10.09/2.06 Prover 11: stopped % 10.09/2.07 Prover 10: Constructing countermodel ... % 10.09/2.07 Prover 7: stopped % 10.09/2.07 Prover 4: stopped % 10.22/2.07 Prover 10: stopped % 10.22/2.09 Prover 13: stopped % 10.22/2.11 Prover 8: Warning: ignoring some quantifiers % 10.46/2.12 Prover 8: Constructing countermodel ... % 10.46/2.13 Prover 8: stopped % 10.46/2.13 % 10.46/2.13 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 10.46/2.13 % 10.46/2.14 % SZS output start Proof for theBenchmark % 10.58/2.14 Assumptions after simplification: % 10.58/2.14 --------------------------------- % 10.58/2.14 % 10.58/2.14 (ceq1) % 10.58/2.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 10.58/2.17 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~ % 10.58/2.17 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0) % 10.58/2.17 % 10.58/2.17 (ceq2) % 10.58/2.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 10.58/2.17 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_lines(v1, v2) = v3) | ~ % 10.58/2.17 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v0, v2) = 0) % 10.58/2.17 % 10.58/2.17 (ci1) % 10.58/2.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 10.58/2.17 ~ (apart_point_and_line(v0, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 10.58/2.17 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3)) % 10.58/2.17 % 10.58/2.17 (ci2) % 10.58/2.17 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (line_connecting(v0, v1) = v2) | % 10.58/2.17 ~ (apart_point_and_line(v1, v2) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] % 10.58/2.17 : ( ~ (v3 = 0) & distinct_points(v0, v1) = v3)) % 10.58/2.17 % 10.58/2.17 (con) % 10.58/2.18 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5: % 10.58/2.18 any] : ? [v6: $i] : ? [v7: any] : (line_connecting(v2, v1) = v6 & % 10.58/2.18 line_connecting(v2, v0) = v4 & line_connecting(v0, v1) = v3 & % 10.58/2.18 apart_point_and_line(v2, v3) = 0 & distinct_lines(v3, v6) = v7 & % 10.58/2.18 distinct_lines(v3, v4) = v5 & distinct_points(v0, v1) = 0 & $i(v6) & $i(v4) % 10.58/2.18 & $i(v3) & $i(v2) & $i(v1) & $i(v0) & ( ~ (v7 = 0) | ~ (v5 = 0))) % 10.58/2.18 % 10.58/2.18 (cu1) % 10.58/2.18 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ % 10.58/2.18 (distinct_lines(v2, v3) = 0) | ~ (distinct_points(v0, v1) = 0) | ~ $i(v3) % 10.58/2.18 | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : ? [v6: % 10.58/2.18 any] : ? [v7: any] : (apart_point_and_line(v1, v3) = v7 & % 10.58/2.18 apart_point_and_line(v1, v2) = v6 & apart_point_and_line(v0, v3) = v5 & % 10.58/2.18 apart_point_and_line(v0, v2) = v4 & (v7 = 0 | v6 = 0 | v5 = 0 | v4 = 0))) % 10.58/2.18 % 10.58/2.18 (function-axioms) % 10.58/2.19 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! % 10.58/2.19 [v3: $i] : (v1 = v0 | ~ (orthogonal_lines(v3, v2) = v1) | ~ % 10.58/2.19 (orthogonal_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 10.58/2.19 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 10.58/2.19 (incident_point_and_line(v3, v2) = v1) | ~ (incident_point_and_line(v3, v2) % 10.58/2.19 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 10.58/2.19 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_lines(v3, v2) = v1) | ~ % 10.58/2.19 (parallel_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 10.58/2.19 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 10.58/2.19 (equal_lines(v3, v2) = v1) | ~ (equal_lines(v3, v2) = v0)) & ! [v0: % 10.58/2.19 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 10.58/2.19 : (v1 = v0 | ~ (equal_points(v3, v2) = v1) | ~ (equal_points(v3, v2) = v0)) % 10.58/2.19 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 10.58/2.19 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 10.58/2.19 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 10.58/2.19 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 10.58/2.19 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 10.58/2.19 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 10.58/2.19 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 10.58/2.19 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 10.58/2.19 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 10.58/2.19 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 10.58/2.19 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 10.58/2.19 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 10.58/2.19 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 10.58/2.19 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 10.58/2.19 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 10.58/2.19 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 10.58/2.19 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 10.58/2.19 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 10.58/2.19 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 10.58/2.19 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 10.58/2.19 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 10.58/2.19 $i] : (v1 = v0 | ~ (point(v2) = v1) | ~ (point(v2) = v0)) & ! [v0: % 10.58/2.19 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | % 10.58/2.19 ~ (line(v2) = v1) | ~ (line(v2) = v0)) % 10.58/2.19 % 10.58/2.19 Further assumptions not needed in the proof: % 10.58/2.19 -------------------------------------------- % 10.58/2.19 a3, a4, a5, apart1, apart2, apart3, apart4, apart5, ax1, ax2, ax6, ceq3, ci3, % 10.58/2.19 ci4, coipo1, con1, cotno1, couo1, cp1, cp2, cup1, int1, oac1, occu1, ooc1, ooc2, % 10.58/2.19 orth1, ouo1, p1, par1 % 10.58/2.19 % 10.58/2.19 Those formulas are unsatisfiable: % 10.58/2.19 --------------------------------- % 10.58/2.19 % 10.58/2.19 Begin of proof % 10.58/2.19 | % 10.58/2.19 | ALPHA: (function-axioms) implies: % 10.58/2.20 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 10.58/2.20 | ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 10.58/2.20 | (distinct_points(v3, v2) = v0)) % 10.58/2.20 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 10.58/2.20 | ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 10.58/2.20 | (apart_point_and_line(v3, v2) = v0)) % 10.58/2.20 | % 10.58/2.20 | DELTA: instantiating (con) with fresh symbols all_38_0, all_38_1, all_38_2, % 10.58/2.20 | all_38_3, all_38_4, all_38_5, all_38_6, all_38_7 gives: % 10.58/2.20 | (3) line_connecting(all_38_5, all_38_6) = all_38_1 & % 10.58/2.20 | line_connecting(all_38_5, all_38_7) = all_38_3 & % 10.58/2.20 | line_connecting(all_38_7, all_38_6) = all_38_4 & % 10.58/2.20 | apart_point_and_line(all_38_5, all_38_4) = 0 & distinct_lines(all_38_4, % 10.58/2.20 | all_38_1) = all_38_0 & distinct_lines(all_38_4, all_38_3) = all_38_2 % 10.58/2.20 | & distinct_points(all_38_7, all_38_6) = 0 & $i(all_38_1) & $i(all_38_3) % 10.58/2.20 | & $i(all_38_4) & $i(all_38_5) & $i(all_38_6) & $i(all_38_7) & ( ~ % 10.58/2.20 | (all_38_0 = 0) | ~ (all_38_2 = 0)) % 10.58/2.20 | % 10.58/2.20 | ALPHA: (3) implies: % 10.58/2.20 | (4) $i(all_38_7) % 10.58/2.20 | (5) $i(all_38_6) % 10.58/2.20 | (6) $i(all_38_5) % 10.58/2.20 | (7) $i(all_38_4) % 10.58/2.20 | (8) $i(all_38_3) % 10.58/2.20 | (9) $i(all_38_1) % 10.58/2.20 | (10) distinct_points(all_38_7, all_38_6) = 0 % 10.58/2.20 | (11) distinct_lines(all_38_4, all_38_3) = all_38_2 % 10.58/2.20 | (12) distinct_lines(all_38_4, all_38_1) = all_38_0 % 10.58/2.20 | (13) apart_point_and_line(all_38_5, all_38_4) = 0 % 10.58/2.20 | (14) line_connecting(all_38_7, all_38_6) = all_38_4 % 10.58/2.20 | (15) line_connecting(all_38_5, all_38_7) = all_38_3 % 10.58/2.20 | (16) line_connecting(all_38_5, all_38_6) = all_38_1 % 10.58/2.20 | (17) ~ (all_38_0 = 0) | ~ (all_38_2 = 0) % 10.58/2.20 | % 10.58/2.20 | GROUND_INST: instantiating (ceq2) with all_38_5, all_38_4, all_38_1, all_38_0, % 10.58/2.20 | simplifying with (6), (7), (9), (12), (13) gives: % 10.58/2.20 | (18) all_38_0 = 0 | apart_point_and_line(all_38_5, all_38_1) = 0 % 10.58/2.20 | % 10.58/2.20 | GROUND_INST: instantiating (ceq2) with all_38_5, all_38_4, all_38_3, all_38_2, % 10.58/2.20 | simplifying with (6), (7), (8), (11), (13) gives: % 10.58/2.20 | (19) all_38_2 = 0 | apart_point_and_line(all_38_5, all_38_3) = 0 % 10.58/2.20 | % 10.58/2.20 | BETA: splitting (17) gives: % 10.58/2.20 | % 10.58/2.20 | Case 1: % 10.58/2.20 | | % 10.58/2.20 | | (20) ~ (all_38_0 = 0) % 10.58/2.20 | | % 10.58/2.20 | | BETA: splitting (18) gives: % 10.58/2.20 | | % 10.58/2.20 | | Case 1: % 10.58/2.20 | | | % 10.58/2.20 | | | (21) apart_point_and_line(all_38_5, all_38_1) = 0 % 10.58/2.20 | | | % 10.58/2.21 | | | GROUND_INST: instantiating (ci1) with all_38_5, all_38_6, all_38_1, % 10.58/2.21 | | | simplifying with (5), (6), (16), (21) gives: % 10.58/2.21 | | | (22) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_5, all_38_6) % 10.58/2.21 | | | = v0) % 10.58/2.21 | | | % 10.58/2.21 | | | DELTA: instantiating (22) with fresh symbol all_56_0 gives: % 10.58/2.21 | | | (23) ~ (all_56_0 = 0) & distinct_points(all_38_5, all_38_6) = all_56_0 % 10.58/2.21 | | | % 10.58/2.21 | | | ALPHA: (23) implies: % 10.58/2.21 | | | (24) ~ (all_56_0 = 0) % 10.58/2.21 | | | (25) distinct_points(all_38_5, all_38_6) = all_56_0 % 10.58/2.21 | | | % 10.58/2.21 | | | GROUND_INST: instantiating (ceq1) with all_38_5, all_38_1, all_38_6, % 10.58/2.21 | | | all_56_0, simplifying with (5), (6), (9), (21), (25) gives: % 10.58/2.21 | | | (26) all_56_0 = 0 | apart_point_and_line(all_38_6, all_38_1) = 0 % 10.58/2.21 | | | % 10.58/2.21 | | | GROUND_INST: instantiating (ceq1) with all_38_5, all_38_4, all_38_6, % 10.58/2.21 | | | all_56_0, simplifying with (5), (6), (7), (13), (25) gives: % 10.58/2.21 | | | (27) all_56_0 = 0 | apart_point_and_line(all_38_6, all_38_4) = 0 % 10.58/2.21 | | | % 10.58/2.21 | | | BETA: splitting (27) gives: % 10.58/2.21 | | | % 10.58/2.21 | | | Case 1: % 10.58/2.21 | | | | % 10.58/2.21 | | | | (28) apart_point_and_line(all_38_6, all_38_4) = 0 % 10.58/2.21 | | | | % 10.58/2.21 | | | | BETA: splitting (26) gives: % 10.58/2.21 | | | | % 10.58/2.21 | | | | Case 1: % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | GROUND_INST: instantiating (ci2) with all_38_7, all_38_6, all_38_4, % 10.58/2.21 | | | | | simplifying with (4), (5), (14), (28) gives: % 10.58/2.21 | | | | | (29) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_7, % 10.58/2.21 | | | | | all_38_6) = v0) % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | DELTA: instantiating (29) with fresh symbol all_80_0 gives: % 10.58/2.21 | | | | | (30) ~ (all_80_0 = 0) & distinct_points(all_38_7, all_38_6) = % 10.58/2.21 | | | | | all_80_0 % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | ALPHA: (30) implies: % 10.58/2.21 | | | | | (31) ~ (all_80_0 = 0) % 10.58/2.21 | | | | | (32) distinct_points(all_38_7, all_38_6) = all_80_0 % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | GROUND_INST: instantiating (1) with 0, all_80_0, all_38_6, all_38_7, % 10.58/2.21 | | | | | simplifying with (10), (32) gives: % 10.58/2.21 | | | | | (33) all_80_0 = 0 % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | REDUCE: (31), (33) imply: % 10.58/2.21 | | | | | (34) $false % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | CLOSE: (34) is inconsistent. % 10.58/2.21 | | | | | % 10.58/2.21 | | | | Case 2: % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | (35) all_56_0 = 0 % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | REDUCE: (24), (35) imply: % 10.58/2.21 | | | | | (36) $false % 10.58/2.21 | | | | | % 10.58/2.21 | | | | | CLOSE: (36) is inconsistent. % 10.58/2.21 | | | | | % 10.58/2.21 | | | | End of split % 10.58/2.21 | | | | % 10.58/2.21 | | | Case 2: % 10.58/2.21 | | | | % 10.58/2.21 | | | | (37) all_56_0 = 0 % 10.58/2.21 | | | | % 10.58/2.21 | | | | REDUCE: (24), (37) imply: % 10.58/2.21 | | | | (38) $false % 10.58/2.21 | | | | % 10.58/2.21 | | | | CLOSE: (38) is inconsistent. % 10.58/2.21 | | | | % 10.58/2.21 | | | End of split % 10.58/2.21 | | | % 10.58/2.21 | | Case 2: % 10.58/2.21 | | | % 10.58/2.21 | | | (39) all_38_0 = 0 % 10.58/2.21 | | | % 10.58/2.21 | | | REDUCE: (20), (39) imply: % 10.58/2.21 | | | (40) $false % 10.58/2.21 | | | % 10.58/2.21 | | | CLOSE: (40) is inconsistent. % 10.58/2.21 | | | % 10.58/2.21 | | End of split % 10.58/2.21 | | % 10.58/2.21 | Case 2: % 10.58/2.21 | | % 10.58/2.21 | | (41) all_38_0 = 0 % 10.58/2.21 | | (42) ~ (all_38_2 = 0) % 10.58/2.21 | | % 10.58/2.21 | | REDUCE: (12), (41) imply: % 10.58/2.21 | | (43) distinct_lines(all_38_4, all_38_1) = 0 % 10.58/2.21 | | % 10.58/2.21 | | BETA: splitting (19) gives: % 10.58/2.21 | | % 10.58/2.21 | | Case 1: % 10.58/2.21 | | | % 10.58/2.22 | | | (44) apart_point_and_line(all_38_5, all_38_3) = 0 % 10.58/2.22 | | | % 10.58/2.22 | | | GROUND_INST: instantiating (cu1) with all_38_7, all_38_6, all_38_4, % 10.58/2.22 | | | all_38_1, simplifying with (4), (5), (7), (9), (10), (43) % 10.58/2.22 | | | gives: % 10.58/2.22 | | | (45) ? [v0: any] : ? [v1: any] : ? [v2: any] : ? [v3: any] : % 10.58/2.22 | | | (apart_point_and_line(all_38_6, all_38_1) = v3 & % 10.58/2.22 | | | apart_point_and_line(all_38_6, all_38_4) = v2 & % 10.58/2.22 | | | apart_point_and_line(all_38_7, all_38_1) = v1 & % 10.58/2.22 | | | apart_point_and_line(all_38_7, all_38_4) = v0 & (v3 = 0 | v2 = 0 % 10.58/2.22 | | | | v1 = 0 | v0 = 0)) % 10.58/2.22 | | | % 10.58/2.22 | | | GROUND_INST: instantiating (ci1) with all_38_5, all_38_7, all_38_3, % 10.58/2.22 | | | simplifying with (4), (6), (15), (44) gives: % 10.58/2.22 | | | (46) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_5, all_38_7) % 10.58/2.22 | | | = v0) % 10.58/2.22 | | | % 10.58/2.22 | | | DELTA: instantiating (46) with fresh symbol all_57_0 gives: % 10.58/2.22 | | | (47) ~ (all_57_0 = 0) & distinct_points(all_38_5, all_38_7) = all_57_0 % 10.58/2.22 | | | % 10.58/2.22 | | | ALPHA: (47) implies: % 10.58/2.22 | | | (48) ~ (all_57_0 = 0) % 10.58/2.22 | | | (49) distinct_points(all_38_5, all_38_7) = all_57_0 % 10.58/2.22 | | | % 10.58/2.22 | | | DELTA: instantiating (45) with fresh symbols all_59_0, all_59_1, all_59_2, % 10.58/2.22 | | | all_59_3 gives: % 10.58/2.22 | | | (50) apart_point_and_line(all_38_6, all_38_1) = all_59_0 & % 10.58/2.22 | | | apart_point_and_line(all_38_6, all_38_4) = all_59_1 & % 10.58/2.22 | | | apart_point_and_line(all_38_7, all_38_1) = all_59_2 & % 10.58/2.22 | | | apart_point_and_line(all_38_7, all_38_4) = all_59_3 & (all_59_0 = % 10.58/2.22 | | | 0 | all_59_1 = 0 | all_59_2 = 0 | all_59_3 = 0) % 10.58/2.22 | | | % 10.58/2.22 | | | ALPHA: (50) implies: % 10.58/2.22 | | | (51) apart_point_and_line(all_38_7, all_38_4) = all_59_3 % 10.58/2.22 | | | % 10.58/2.22 | | | GROUND_INST: instantiating (ceq1) with all_38_5, all_38_4, all_38_7, % 10.58/2.22 | | | all_57_0, simplifying with (4), (6), (7), (13), (49) gives: % 10.58/2.22 | | | (52) all_57_0 = 0 | apart_point_and_line(all_38_7, all_38_4) = 0 % 10.58/2.22 | | | % 10.58/2.22 | | | BETA: splitting (52) gives: % 10.58/2.22 | | | % 10.58/2.22 | | | Case 1: % 10.58/2.22 | | | | % 10.58/2.22 | | | | (53) apart_point_and_line(all_38_7, all_38_4) = 0 % 10.58/2.22 | | | | % 10.58/2.22 | | | | GROUND_INST: instantiating (2) with all_59_3, 0, all_38_4, all_38_7, % 10.58/2.22 | | | | simplifying with (51), (53) gives: % 10.58/2.22 | | | | (54) all_59_3 = 0 % 10.58/2.22 | | | | % 10.99/2.22 | | | | GROUND_INST: instantiating (ci1) with all_38_7, all_38_6, all_38_4, % 10.99/2.22 | | | | simplifying with (4), (5), (14), (53) gives: % 10.99/2.22 | | | | (55) ? [v0: int] : ( ~ (v0 = 0) & distinct_points(all_38_7, % 10.99/2.22 | | | | all_38_6) = v0) % 10.99/2.22 | | | | % 10.99/2.22 | | | | DELTA: instantiating (55) with fresh symbol all_90_0 gives: % 10.99/2.22 | | | | (56) ~ (all_90_0 = 0) & distinct_points(all_38_7, all_38_6) = % 10.99/2.22 | | | | all_90_0 % 10.99/2.22 | | | | % 10.99/2.22 | | | | ALPHA: (56) implies: % 10.99/2.22 | | | | (57) ~ (all_90_0 = 0) % 10.99/2.22 | | | | (58) distinct_points(all_38_7, all_38_6) = all_90_0 % 10.99/2.22 | | | | % 10.99/2.22 | | | | GROUND_INST: instantiating (1) with 0, all_90_0, all_38_6, all_38_7, % 10.99/2.22 | | | | simplifying with (10), (58) gives: % 10.99/2.22 | | | | (59) all_90_0 = 0 % 10.99/2.22 | | | | % 10.99/2.22 | | | | REDUCE: (57), (59) imply: % 10.99/2.22 | | | | (60) $false % 10.99/2.22 | | | | % 10.99/2.22 | | | | CLOSE: (60) is inconsistent. % 10.99/2.22 | | | | % 10.99/2.22 | | | Case 2: % 10.99/2.22 | | | | % 10.99/2.22 | | | | (61) all_57_0 = 0 % 10.99/2.22 | | | | % 10.99/2.22 | | | | REDUCE: (48), (61) imply: % 10.99/2.22 | | | | (62) $false % 10.99/2.22 | | | | % 10.99/2.22 | | | | CLOSE: (62) is inconsistent. % 10.99/2.22 | | | | % 10.99/2.22 | | | End of split % 10.99/2.22 | | | % 10.99/2.22 | | Case 2: % 10.99/2.22 | | | % 10.99/2.22 | | | (63) all_38_2 = 0 % 10.99/2.22 | | | % 10.99/2.23 | | | REDUCE: (42), (63) imply: % 10.99/2.23 | | | (64) $false % 10.99/2.23 | | | % 10.99/2.23 | | | CLOSE: (64) is inconsistent. % 10.99/2.23 | | | % 10.99/2.23 | | End of split % 10.99/2.23 | | % 10.99/2.23 | End of split % 10.99/2.23 | % 10.99/2.23 End of proof % 10.99/2.23 % SZS output end Proof for theBenchmark % 10.99/2.23 % 10.99/2.23 1632ms %------------------------------------------------------------------------------