%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : GEO176+1 : TPTP v8.1.2. Released v3.3.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n028.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 23:21:52 EDT 2023 % Result : Theorem 6.10s 1.55s % Output : Proof 7.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : GEO176+1 : TPTP v8.1.2. Released v3.3.0. % 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.13/0.33 % Computer : n028.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % 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 22:56:11 EDT 2023 % 0.13/0.34 % CPUTime : % 0.18/0.60 ________ _____ % 0.18/0.60 ___ __ \_________(_)________________________________ % 0.18/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.18/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.18/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.18/0.60 % 0.18/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.18/0.60 (2023-06-19) % 0.18/0.60 % 0.18/0.60 (c) Philipp Rümmer, 2009-2023 % 0.18/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.18/0.60 Amanda Stjerna. % 0.18/0.60 Free software under BSD-3-Clause. % 0.18/0.60 % 0.18/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.18/0.60 % 0.18/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.57/0.61 Running up to 7 provers in parallel. % 0.57/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.57/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.57/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.57/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.57/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.57/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.57/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.57/1.05 Prover 4: Preprocessing ... % 2.57/1.05 Prover 1: Preprocessing ... % 2.57/1.09 Prover 5: Preprocessing ... % 2.57/1.09 Prover 3: Preprocessing ... % 2.57/1.09 Prover 0: Preprocessing ... % 2.57/1.09 Prover 2: Preprocessing ... % 2.57/1.09 Prover 6: Preprocessing ... % 4.38/1.33 Prover 6: Constructing countermodel ... % 4.38/1.33 Prover 5: Proving ... % 4.38/1.34 Prover 2: Proving ... % 4.38/1.38 Prover 1: Constructing countermodel ... % 4.38/1.38 Prover 3: Constructing countermodel ... % 4.75/1.46 Prover 4: Constructing countermodel ... % 5.64/1.53 Prover 0: Proving ... % 6.10/1.55 Prover 3: proved (926ms) % 6.10/1.55 % 6.10/1.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.10/1.55 % 6.10/1.55 Prover 5: stopped % 6.10/1.55 Prover 0: stopped % 6.10/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.10/1.55 Prover 2: stopped % 6.16/1.56 Prover 6: stopped % 6.16/1.56 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.16/1.56 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.16/1.56 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.16/1.56 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.16/1.60 Prover 10: Preprocessing ... % 6.16/1.60 Prover 1: Found proof (size 28) % 6.16/1.60 Prover 1: proved (981ms) % 6.16/1.60 Prover 4: stopped % 6.16/1.60 Prover 8: Preprocessing ... % 6.54/1.61 Prover 7: Preprocessing ... % 6.54/1.62 Prover 13: Preprocessing ... % 6.54/1.62 Prover 10: stopped % 6.54/1.62 Prover 11: Preprocessing ... % 6.54/1.64 Prover 7: stopped % 6.84/1.65 Prover 13: stopped % 6.84/1.66 Prover 11: stopped % 6.84/1.71 Prover 8: Warning: ignoring some quantifiers % 6.84/1.71 Prover 8: Constructing countermodel ... % 6.84/1.71 Prover 8: stopped % 6.84/1.72 % 6.84/1.72 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p % 6.84/1.72 % 6.84/1.72 % SZS output start Proof for theBenchmark % 6.84/1.73 Assumptions after simplification: % 6.84/1.73 --------------------------------- % 6.84/1.73 % 6.84/1.73 (ceq1) % 7.31/1.75 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: int] : (v3 = 0 | ~ % 7.31/1.75 (apart_point_and_line(v0, v1) = 0) | ~ (distinct_points(v0, v2) = v3) | ~ % 7.31/1.75 $i(v2) | ~ $i(v1) | ~ $i(v0) | apart_point_and_line(v2, v1) = 0) % 7.31/1.75 % 7.31/1.75 (ci3) % 7.31/1.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 7.31/1.76 v2) | ~ (apart_point_and_line(v2, v0) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 7.31/1.76 [v3: int] : ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3)) % 7.31/1.76 % 7.31/1.76 (ci4) % 7.31/1.76 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (intersection_point(v0, v1) = % 7.31/1.76 v2) | ~ (apart_point_and_line(v2, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? % 7.31/1.76 [v3: int] : ( ~ (v3 = 0) & convergent_lines(v0, v1) = v3)) % 7.31/1.76 % 7.31/1.76 (con) % 7.31/1.76 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: any] : ? [v5: % 7.31/1.76 any] : ? [v6: $i] : ? [v7: int] : ( ~ (v7 = 0) & intersection_point(v2, % 7.31/1.76 v3) = v6 & apart_point_and_line(v0, v3) = v5 & apart_point_and_line(v0, % 7.31/1.76 v2) = v4 & convergent_lines(v2, v3) = 0 & distinct_points(v0, v6) = v7 & % 7.31/1.76 distinct_points(v0, v1) = 0 & $i(v6) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & % 7.31/1.76 (v5 = 0 | v4 = 0)) % 7.31/1.76 % 7.31/1.76 (function-axioms) % 7.31/1.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.31/1.77 (intersection_point(v3, v2) = v1) | ~ (intersection_point(v3, v2) = v0)) & % 7.31/1.77 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.31/1.77 (line_connecting(v3, v2) = v1) | ~ (line_connecting(v3, v2) = v0)) & ! % 7.31/1.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 7.31/1.77 $i] : (v1 = v0 | ~ (apart_point_and_line(v3, v2) = v1) | ~ % 7.31/1.77 (apart_point_and_line(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: % 7.31/1.77 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ % 7.31/1.77 (convergent_lines(v3, v2) = v1) | ~ (convergent_lines(v3, v2) = v0)) & ! % 7.31/1.77 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: % 7.31/1.77 $i] : (v1 = v0 | ~ (distinct_lines(v3, v2) = v1) | ~ (distinct_lines(v3, % 7.31/1.77 v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : % 7.31/1.77 ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (distinct_points(v3, v2) = v1) | ~ % 7.31/1.77 (distinct_points(v3, v2) = v0)) % 7.31/1.77 % 7.31/1.77 Further assumptions not needed in the proof: % 7.31/1.77 -------------------------------------------- % 7.31/1.77 apart1, apart2, apart3, apart4, apart5, ax6, ceq2, ceq3, ci1, ci2, cu1 % 7.31/1.77 % 7.31/1.77 Those formulas are unsatisfiable: % 7.31/1.77 --------------------------------- % 7.31/1.77 % 7.31/1.77 Begin of proof % 7.31/1.77 | % 7.31/1.77 | ALPHA: (function-axioms) implies: % 7.31/1.77 | (1) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : % 7.31/1.77 | ! [v3: $i] : (v1 = v0 | ~ (convergent_lines(v3, v2) = v1) | ~ % 7.31/1.77 | (convergent_lines(v3, v2) = v0)) % 7.31/1.77 | % 7.31/1.77 | DELTA: instantiating (con) with fresh symbols all_17_0, all_17_1, all_17_2, % 7.31/1.77 | all_17_3, all_17_4, all_17_5, all_17_6, all_17_7 gives: % 7.31/1.77 | (2) ~ (all_17_0 = 0) & intersection_point(all_17_5, all_17_4) = all_17_1 & % 7.31/1.77 | apart_point_and_line(all_17_7, all_17_4) = all_17_2 & % 7.31/1.77 | apart_point_and_line(all_17_7, all_17_5) = all_17_3 & % 7.31/1.77 | convergent_lines(all_17_5, all_17_4) = 0 & distinct_points(all_17_7, % 7.31/1.77 | all_17_1) = all_17_0 & distinct_points(all_17_7, all_17_6) = 0 & % 7.31/1.77 | $i(all_17_1) & $i(all_17_4) & $i(all_17_5) & $i(all_17_6) & % 7.31/1.77 | $i(all_17_7) & (all_17_2 = 0 | all_17_3 = 0) % 7.31/1.77 | % 7.31/1.77 | ALPHA: (2) implies: % 7.31/1.77 | (3) ~ (all_17_0 = 0) % 7.31/1.77 | (4) $i(all_17_7) % 7.31/1.77 | (5) $i(all_17_5) % 7.31/1.77 | (6) $i(all_17_4) % 7.31/1.77 | (7) $i(all_17_1) % 7.31/1.77 | (8) distinct_points(all_17_7, all_17_1) = all_17_0 % 7.31/1.78 | (9) convergent_lines(all_17_5, all_17_4) = 0 % 7.31/1.78 | (10) apart_point_and_line(all_17_7, all_17_5) = all_17_3 % 7.31/1.78 | (11) apart_point_and_line(all_17_7, all_17_4) = all_17_2 % 7.31/1.78 | (12) intersection_point(all_17_5, all_17_4) = all_17_1 % 7.31/1.78 | (13) all_17_2 = 0 | all_17_3 = 0 % 7.31/1.78 | % 7.31/1.78 | BETA: splitting (13) gives: % 7.31/1.78 | % 7.31/1.78 | Case 1: % 7.31/1.78 | | % 7.31/1.78 | | (14) all_17_2 = 0 % 7.31/1.78 | | % 7.31/1.78 | | REDUCE: (11), (14) imply: % 7.31/1.78 | | (15) apart_point_and_line(all_17_7, all_17_4) = 0 % 7.31/1.78 | | % 7.31/1.78 | | GROUND_INST: instantiating (ceq1) with all_17_7, all_17_4, all_17_1, % 7.31/1.78 | | all_17_0, simplifying with (4), (6), (7), (8), (15) gives: % 7.31/1.78 | | (16) all_17_0 = 0 | apart_point_and_line(all_17_1, all_17_4) = 0 % 7.31/1.78 | | % 7.31/1.78 | | BETA: splitting (16) gives: % 7.31/1.78 | | % 7.31/1.78 | | Case 1: % 7.31/1.78 | | | % 7.31/1.78 | | | (17) apart_point_and_line(all_17_1, all_17_4) = 0 % 7.31/1.78 | | | % 7.31/1.78 | | | GROUND_INST: instantiating (ci4) with all_17_5, all_17_4, all_17_1, % 7.31/1.78 | | | simplifying with (5), (6), (12), (17) gives: % 7.31/1.78 | | | (18) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_17_5, all_17_4) % 7.31/1.78 | | | = v0) % 7.31/1.78 | | | % 7.31/1.78 | | | DELTA: instantiating (18) with fresh symbol all_42_0 gives: % 7.31/1.78 | | | (19) ~ (all_42_0 = 0) & convergent_lines(all_17_5, all_17_4) = % 7.31/1.78 | | | all_42_0 % 7.31/1.78 | | | % 7.31/1.78 | | | ALPHA: (19) implies: % 7.31/1.78 | | | (20) ~ (all_42_0 = 0) % 7.31/1.78 | | | (21) convergent_lines(all_17_5, all_17_4) = all_42_0 % 7.31/1.78 | | | % 7.31/1.78 | | | GROUND_INST: instantiating (1) with 0, all_42_0, all_17_4, all_17_5, % 7.31/1.78 | | | simplifying with (9), (21) gives: % 7.31/1.78 | | | (22) all_42_0 = 0 % 7.31/1.78 | | | % 7.31/1.78 | | | REDUCE: (20), (22) imply: % 7.31/1.78 | | | (23) $false % 7.31/1.78 | | | % 7.31/1.78 | | | CLOSE: (23) is inconsistent. % 7.31/1.78 | | | % 7.31/1.78 | | Case 2: % 7.31/1.78 | | | % 7.31/1.78 | | | (24) all_17_0 = 0 % 7.31/1.78 | | | % 7.31/1.79 | | | REDUCE: (3), (24) imply: % 7.31/1.79 | | | (25) $false % 7.31/1.79 | | | % 7.31/1.79 | | | CLOSE: (25) is inconsistent. % 7.31/1.79 | | | % 7.31/1.79 | | End of split % 7.31/1.79 | | % 7.31/1.79 | Case 2: % 7.31/1.79 | | % 7.31/1.79 | | (26) all_17_3 = 0 % 7.31/1.79 | | % 7.31/1.79 | | REDUCE: (10), (26) imply: % 7.31/1.79 | | (27) apart_point_and_line(all_17_7, all_17_5) = 0 % 7.31/1.79 | | % 7.31/1.79 | | GROUND_INST: instantiating (ceq1) with all_17_7, all_17_5, all_17_1, % 7.31/1.79 | | all_17_0, simplifying with (4), (5), (7), (8), (27) gives: % 7.31/1.79 | | (28) all_17_0 = 0 | apart_point_and_line(all_17_1, all_17_5) = 0 % 7.31/1.79 | | % 7.31/1.79 | | BETA: splitting (28) gives: % 7.31/1.79 | | % 7.31/1.79 | | Case 1: % 7.31/1.79 | | | % 7.31/1.79 | | | (29) apart_point_and_line(all_17_1, all_17_5) = 0 % 7.31/1.79 | | | % 7.31/1.79 | | | GROUND_INST: instantiating (ci3) with all_17_5, all_17_4, all_17_1, % 7.31/1.79 | | | simplifying with (5), (6), (12), (29) gives: % 7.31/1.79 | | | (30) ? [v0: int] : ( ~ (v0 = 0) & convergent_lines(all_17_5, all_17_4) % 7.31/1.79 | | | = v0) % 7.31/1.79 | | | % 7.31/1.79 | | | DELTA: instantiating (30) with fresh symbol all_42_0 gives: % 7.55/1.79 | | | (31) ~ (all_42_0 = 0) & convergent_lines(all_17_5, all_17_4) = % 7.55/1.79 | | | all_42_0 % 7.55/1.79 | | | % 7.55/1.79 | | | ALPHA: (31) implies: % 7.55/1.79 | | | (32) ~ (all_42_0 = 0) % 7.55/1.79 | | | (33) convergent_lines(all_17_5, all_17_4) = all_42_0 % 7.55/1.79 | | | % 7.55/1.79 | | | GROUND_INST: instantiating (1) with 0, all_42_0, all_17_4, all_17_5, % 7.55/1.79 | | | simplifying with (9), (33) gives: % 7.55/1.79 | | | (34) all_42_0 = 0 % 7.55/1.79 | | | % 7.55/1.79 | | | REDUCE: (32), (34) imply: % 7.55/1.79 | | | (35) $false % 7.55/1.79 | | | % 7.55/1.79 | | | CLOSE: (35) is inconsistent. % 7.55/1.79 | | | % 7.55/1.79 | | Case 2: % 7.55/1.79 | | | % 7.55/1.79 | | | (36) all_17_0 = 0 % 7.55/1.79 | | | % 7.55/1.79 | | | REDUCE: (3), (36) imply: % 7.55/1.79 | | | (37) $false % 7.55/1.79 | | | % 7.55/1.79 | | | CLOSE: (37) is inconsistent. % 7.55/1.79 | | | % 7.55/1.79 | | End of split % 7.55/1.79 | | % 7.55/1.79 | End of split % 7.55/1.79 | % 7.55/1.79 End of proof % 7.55/1.79 % SZS output end Proof for theBenchmark % 7.55/1.79 % 7.55/1.79 1193ms %------------------------------------------------------------------------------