%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO210+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 : 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 23:22:21 EDT 2023 % Result : Theorem 6.54s 1.66s % Output : Proof 8.18s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.12/0.12 % Problem : GEO210+2 : TPTP v8.1.2. Released v3.3.0. % 0.12/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.14/0.34 % Computer : n022.cluster.edu % 0.14/0.34 % Model : x86_64 x86_64 % 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.14/0.34 % Memory : 8042.1875MB % 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.14/0.34 % CPULimit : 300 % 0.14/0.34 % WCLimit : 300 % 0.14/0.34 % DateTime : Tue Aug 29 21:26:53 EDT 2023 % 0.14/0.34 % CPUTime : % 0.62/0.62 ________ _____ % 0.62/0.62 ___ __ \_________(_)________________________________ % 0.62/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.62/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.62/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.62/0.62 % 0.62/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.62/0.62 (2023-06-19) % 0.62/0.62 % 0.62/0.62 (c) Philipp Rümmer, 2009-2023 % 0.62/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.62/0.62 Amanda Stjerna. % 0.62/0.62 Free software under BSD-3-Clause. % 0.62/0.62 % 0.62/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.62/0.62 % 0.62/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.67/0.63 Running up to 7 provers in parallel. % 0.72/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.72/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.72/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.72/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.72/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.72/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.72/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.77/1.09 Prover 1: Preprocessing ... % 2.77/1.10 Prover 4: Preprocessing ... % 2.77/1.14 Prover 5: Preprocessing ... % 2.77/1.14 Prover 2: Preprocessing ... % 2.77/1.14 Prover 0: Preprocessing ... % 2.77/1.14 Prover 3: Preprocessing ... % 2.77/1.14 Prover 6: Preprocessing ... % 4.74/1.42 Prover 5: Proving ... % 4.74/1.46 Prover 2: Proving ... % 5.43/1.48 Prover 3: Constructing countermodel ... % 5.43/1.49 Prover 6: Constructing countermodel ... % 5.70/1.50 Prover 1: Constructing countermodel ... % 6.54/1.65 Prover 4: Constructing countermodel ... % 6.54/1.66 Prover 3: proved (1020ms) % 6.54/1.66 % 6.54/1.66 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.54/1.66 % 6.54/1.67 Prover 2: stopped % 6.54/1.67 Prover 6: stopped % 6.54/1.67 Prover 5: stopped % 7.07/1.69 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 7.07/1.69 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 7.07/1.69 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 7.07/1.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 7.07/1.70 Prover 8: Preprocessing ... % 7.07/1.71 Prover 10: Preprocessing ... % 7.07/1.72 Prover 0: Proving ... % 7.07/1.72 Prover 7: Preprocessing ... % 7.07/1.73 Prover 11: Preprocessing ... % 7.07/1.74 Prover 0: stopped % 7.07/1.75 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 7.07/1.76 Prover 7: Warning: ignoring some quantifiers % 7.07/1.76 Prover 1: Found proof (size 31) % 7.07/1.76 Prover 1: proved (1126ms) % 7.07/1.76 Prover 4: stopped % 7.78/1.77 Prover 10: Warning: ignoring some quantifiers % 7.78/1.78 Prover 7: Constructing countermodel ... % 7.78/1.78 Prover 13: Preprocessing ... % 7.78/1.78 Prover 7: stopped % 7.78/1.79 Prover 10: Constructing countermodel ... % 7.78/1.79 Prover 10: stopped % 7.78/1.80 Prover 13: stopped % 8.04/1.81 Prover 11: stopped % 8.04/1.81 Prover 8: Warning: ignoring some quantifiers % 8.04/1.82 Prover 8: Constructing countermodel ... % 8.04/1.82 Prover 8: stopped % 8.04/1.82 % 8.04/1.82 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p % 8.04/1.82 % 8.04/1.83 % SZS output start Proof for theBenchmark % 8.18/1.83 Assumptions after simplification: % 8.18/1.83 --------------------------------- % 8.18/1.83 % 8.18/1.83 (con) % 8.18/1.86 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: int] : ? [v4: int] : ? % 8.18/1.86 [v5: $i] : ( ~ (v4 = 0) & ~ (v3 = 0) & orthogonal_through_point(v2, v0) = v5 % 8.18/1.86 & unorthogonal_lines(v1, v2) = v4 & apart_point_and_line(v0, v1) = v3 & % 8.18/1.86 distinct_lines(v1, v5) = 0 & $i(v5) & $i(v2) & $i(v1) & $i(v0)) % 8.18/1.86 % 8.18/1.86 (cup1) % 8.18/1.86 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 8.18/1.86 (apart_point_and_line(v0, v1) = v3) | ~ (distinct_lines(v1, v2) = 0) | ~ % 8.18/1.86 $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: any] : ? [v5: any] : % 8.18/1.86 (apart_point_and_line(v0, v2) = v4 & convergent_lines(v1, v2) = v5 & (v5 = 0 % 8.18/1.86 | v4 = 0))) % 8.18/1.86 % 8.18/1.86 (ooc1) % 8.18/1.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (orthogonal_through_point(v1, % 8.18/1.87 v0) = v2) | ~ (unorthogonal_lines(v2, v1) = 0) | ~ $i(v1) | ~ $i(v0)) % 8.18/1.87 % 8.18/1.87 (ooc2) % 8.18/1.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (orthogonal_through_point(v1, % 8.18/1.87 v0) = v2) | ~ (apart_point_and_line(v0, v2) = 0) | ~ $i(v1) | ~ % 8.18/1.87 $i(v0)) % 8.18/1.87 % 8.18/1.87 (ouo1) % 8.18/1.87 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : ! [v5: % 8.18/1.87 int] : (v5 = 0 | v4 = 0 | ~ (unorthogonal_lines(v1, v3) = v5) | ~ % 8.18/1.87 (apart_point_and_line(v0, v1) = v4) | ~ (distinct_lines(v1, v2) = 0) | ~ % 8.18/1.87 $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v6: any] : ? [v7: any] : % 8.18/1.87 (unorthogonal_lines(v2, v3) = v7 & apart_point_and_line(v0, v2) = v6 & (v7 = % 8.18/1.87 0 | v6 = 0))) % 8.18/1.87 % 8.18/1.87 (function-axioms) % 8.18/1.88 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.18/1.88 (orthogonal_through_point(v3, v2) = v1) | ~ (orthogonal_through_point(v3, % 8.18/1.88 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 8.18/1.88 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unorthogonal_lines(v3, v2) = v1) | % 8.18/1.88 ~ (unorthogonal_lines(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 8.18/1.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (parallel_through_point(v3, v2) = v1) | ~ % 8.18/1.88 (parallel_through_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: % 8.18/1.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (intersection_point(v3, v2) = v1) | ~ % 8.18/1.88 (intersection_point(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] % 8.18/1.88 : ! [v3: $i] : (v1 = v0 | ~ (line_connecting(v3, v2) = v1) | ~ % 8.18/1.88 (line_connecting(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.18/1.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.18/1.88 (apart_point_and_line(v3, v2) = v1) | ~ (apart_point_and_line(v3, v2) = % 8.18/1.88 v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: % 8.18/1.88 $i] : ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 8.18/1.88 (convergent_lines(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 8.18/1.88 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 8.18/1.88 (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, v2) = v0)) & ! [v0: % 8.18/1.88 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] % 8.18/1.88 : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ (distinct_points(v3, v2) = % 8.18/1.88 v0)) % 8.18/1.88 % 8.18/1.88 Further assumptions not needed in the proof: % 8.18/1.88 -------------------------------------------- % 8.18/1.88 apart1, apart2, apart3, apart4, apart5, apart6, ceq1, ceq2, ceq3, con1, con2, % 8.18/1.88 cp1, cp2, cu1, oac1, occu1 % 8.18/1.88 % 8.18/1.88 Those formulas are unsatisfiable: % 8.18/1.88 --------------------------------- % 8.18/1.88 % 8.18/1.88 Begin of proof % 8.18/1.88 | % 8.18/1.88 | ALPHA: (function-axioms) implies: % 8.18/1.88 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 8.18/1.88 | ! [v3: $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 8.18/1.88 | (apart_point_and_line(v3, v2) = v0)) % 8.18/1.88 | % 8.18/1.88 | DELTA: instantiating (con) with fresh symbols all_23_0, all_23_1, all_23_2, % 8.18/1.88 | all_23_3, all_23_4, all_23_5 gives: % 8.18/1.88 | (2) ~ (all_23_1 = 0) & ~ (all_23_2 = 0) & % 8.18/1.88 | orthogonal_through_point(all_23_3, all_23_5) = all_23_0 & % 8.18/1.88 | unorthogonal_lines(all_23_4, all_23_3) = all_23_1 & % 8.18/1.88 | apart_point_and_line(all_23_5, all_23_4) = all_23_2 & % 8.18/1.88 | distinct_lines(all_23_4, all_23_0) = 0 & $i(all_23_0) & $i(all_23_3) & % 8.18/1.88 | $i(all_23_4) & $i(all_23_5) % 8.18/1.88 | % 8.18/1.88 | ALPHA: (2) implies: % 8.18/1.88 | (3) ~ (all_23_2 = 0) % 8.18/1.88 | (4) ~ (all_23_1 = 0) % 8.18/1.88 | (5) $i(all_23_5) % 8.18/1.88 | (6) $i(all_23_4) % 8.18/1.88 | (7) $i(all_23_3) % 8.18/1.88 | (8) $i(all_23_0) % 8.18/1.88 | (9) distinct_lines(all_23_4, all_23_0) = 0 % 8.18/1.88 | (10) apart_point_and_line(all_23_5, all_23_4) = all_23_2 % 8.18/1.88 | (11) unorthogonal_lines(all_23_4, all_23_3) = all_23_1 % 8.18/1.88 | (12) orthogonal_through_point(all_23_3, all_23_5) = all_23_0 % 8.18/1.89 | % 8.18/1.89 | GROUND_INST: instantiating (cup1) with all_23_5, all_23_4, all_23_0, all_23_2, % 8.18/1.89 | simplifying with (5), (6), (8), (9), (10) gives: % 8.18/1.89 | (13) all_23_2 = 0 | ? [v0: any] : ? [v1: any] : % 8.18/1.89 | (apart_point_and_line(all_23_5, all_23_0) = v0 & % 8.18/1.89 | convergent_lines(all_23_4, all_23_0) = v1 & (v1 = 0 | v0 = 0)) % 8.18/1.89 | % 8.18/1.89 | GROUND_INST: instantiating (ouo1) with all_23_5, all_23_4, all_23_0, all_23_3, % 8.18/1.89 | all_23_2, all_23_1, simplifying with (5), (6), (7), (8), (9), % 8.18/1.89 | (10), (11) gives: % 8.18/1.89 | (14) all_23_1 = 0 | all_23_2 = 0 | ? [v0: any] : ? [v1: any] : % 8.18/1.89 | (unorthogonal_lines(all_23_0, all_23_3) = v1 & % 8.18/1.89 | apart_point_and_line(all_23_5, all_23_0) = v0 & (v1 = 0 | v0 = 0)) % 8.18/1.89 | % 8.18/1.89 | BETA: splitting (13) gives: % 8.18/1.89 | % 8.18/1.89 | Case 1: % 8.18/1.89 | | % 8.18/1.89 | | (15) all_23_2 = 0 % 8.18/1.89 | | % 8.18/1.89 | | REDUCE: (3), (15) imply: % 8.18/1.89 | | (16) $false % 8.18/1.89 | | % 8.18/1.89 | | CLOSE: (16) is inconsistent. % 8.18/1.89 | | % 8.18/1.89 | Case 2: % 8.18/1.89 | | % 8.18/1.89 | | (17) ? [v0: any] : ? [v1: any] : (apart_point_and_line(all_23_5, % 8.18/1.89 | | all_23_0) = v0 & convergent_lines(all_23_4, all_23_0) = v1 & (v1 % 8.18/1.89 | | = 0 | v0 = 0)) % 8.18/1.89 | | % 8.18/1.89 | | DELTA: instantiating (17) with fresh symbols all_36_0, all_36_1 gives: % 8.18/1.89 | | (18) apart_point_and_line(all_23_5, all_23_0) = all_36_1 & % 8.18/1.89 | | convergent_lines(all_23_4, all_23_0) = all_36_0 & (all_36_0 = 0 | % 8.18/1.89 | | all_36_1 = 0) % 8.18/1.89 | | % 8.18/1.89 | | ALPHA: (18) implies: % 8.18/1.89 | | (19) apart_point_and_line(all_23_5, all_23_0) = all_36_1 % 8.18/1.89 | | % 8.18/1.89 | | BETA: splitting (14) gives: % 8.18/1.89 | | % 8.18/1.89 | | Case 1: % 8.18/1.89 | | | % 8.18/1.89 | | | (20) all_23_1 = 0 % 8.18/1.89 | | | % 8.18/1.89 | | | REDUCE: (4), (20) imply: % 8.18/1.89 | | | (21) $false % 8.18/1.89 | | | % 8.18/1.89 | | | CLOSE: (21) is inconsistent. % 8.18/1.89 | | | % 8.18/1.89 | | Case 2: % 8.18/1.89 | | | % 8.18/1.89 | | | (22) all_23_2 = 0 | ? [v0: any] : ? [v1: any] : % 8.18/1.89 | | | (unorthogonal_lines(all_23_0, all_23_3) = v1 & % 8.18/1.89 | | | apart_point_and_line(all_23_5, all_23_0) = v0 & (v1 = 0 | v0 = % 8.18/1.89 | | | 0)) % 8.18/1.89 | | | % 8.18/1.89 | | | BETA: splitting (22) gives: % 8.18/1.89 | | | % 8.18/1.89 | | | Case 1: % 8.18/1.89 | | | | % 8.18/1.89 | | | | (23) all_23_2 = 0 % 8.18/1.89 | | | | % 8.18/1.89 | | | | REDUCE: (3), (23) imply: % 8.18/1.89 | | | | (24) $false % 8.18/1.89 | | | | % 8.18/1.89 | | | | CLOSE: (24) is inconsistent. % 8.18/1.89 | | | | % 8.18/1.89 | | | Case 2: % 8.18/1.89 | | | | % 8.18/1.90 | | | | (25) ? [v0: any] : ? [v1: any] : (unorthogonal_lines(all_23_0, % 8.18/1.90 | | | | all_23_3) = v1 & apart_point_and_line(all_23_5, all_23_0) = % 8.18/1.90 | | | | v0 & (v1 = 0 | v0 = 0)) % 8.18/1.90 | | | | % 8.18/1.90 | | | | DELTA: instantiating (25) with fresh symbols all_45_0, all_45_1 gives: % 8.18/1.90 | | | | (26) unorthogonal_lines(all_23_0, all_23_3) = all_45_0 & % 8.18/1.90 | | | | apart_point_and_line(all_23_5, all_23_0) = all_45_1 & (all_45_0 % 8.18/1.90 | | | | = 0 | all_45_1 = 0) % 8.18/1.90 | | | | % 8.18/1.90 | | | | ALPHA: (26) implies: % 8.18/1.90 | | | | (27) apart_point_and_line(all_23_5, all_23_0) = all_45_1 % 8.18/1.90 | | | | (28) unorthogonal_lines(all_23_0, all_23_3) = all_45_0 % 8.18/1.90 | | | | (29) all_45_0 = 0 | all_45_1 = 0 % 8.18/1.90 | | | | % 8.18/1.90 | | | | GROUND_INST: instantiating (1) with all_36_1, all_45_1, all_23_0, % 8.18/1.90 | | | | all_23_5, simplifying with (19), (27) gives: % 8.18/1.90 | | | | (30) all_45_1 = all_36_1 % 8.18/1.90 | | | | % 8.18/1.90 | | | | BETA: splitting (29) gives: % 8.18/1.90 | | | | % 8.18/1.90 | | | | Case 1: % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | (31) all_45_0 = 0 % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | REDUCE: (28), (31) imply: % 8.18/1.90 | | | | | (32) unorthogonal_lines(all_23_0, all_23_3) = 0 % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | GROUND_INST: instantiating (ooc1) with all_23_5, all_23_3, all_23_0, % 8.18/1.90 | | | | | simplifying with (5), (7), (12), (32) gives: % 8.18/1.90 | | | | | (33) $false % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | CLOSE: (33) is inconsistent. % 8.18/1.90 | | | | | % 8.18/1.90 | | | | Case 2: % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | (34) all_45_1 = 0 % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | COMBINE_EQS: (30), (34) imply: % 8.18/1.90 | | | | | (35) all_36_1 = 0 % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | REDUCE: (19), (35) imply: % 8.18/1.90 | | | | | (36) apart_point_and_line(all_23_5, all_23_0) = 0 % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | GROUND_INST: instantiating (ooc2) with all_23_5, all_23_3, all_23_0, % 8.18/1.90 | | | | | simplifying with (5), (7), (12), (36) gives: % 8.18/1.90 | | | | | (37) $false % 8.18/1.90 | | | | | % 8.18/1.90 | | | | | CLOSE: (37) is inconsistent. % 8.18/1.90 | | | | | % 8.18/1.90 | | | | End of split % 8.18/1.90 | | | | % 8.18/1.90 | | | End of split % 8.18/1.90 | | | % 8.18/1.90 | | End of split % 8.18/1.90 | | % 8.18/1.90 | End of split % 8.18/1.90 | % 8.18/1.90 End of proof % 8.18/1.90 % SZS output end Proof for theBenchmark % 8.18/1.90 % 8.18/1.90 1283ms %------------------------------------------------------------------------------