%------------------------------------------------------------------------------ % File : Princess---230619 % Problem : KRS087+1 : TPTP v8.1.2. Released v3.1.0. % Transfm : none % Format : tptp % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % Computer : n007.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 : Thu Aug 31 05:51:11 EDT 2023 % Result : Unsatisfiable 6.11s 1.61s % Output : Proof 7.87s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.13/0.14 % Problem : KRS087+1 : TPTP v8.1.2. Released v3.1.0. % 0.13/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s % 0.15/0.36 % Computer : n007.cluster.edu % 0.15/0.36 % Model : x86_64 x86_64 % 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.36 % Memory : 8042.1875MB % 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.36 % CPULimit : 300 % 0.15/0.36 % WCLimit : 300 % 0.15/0.36 % DateTime : Mon Aug 28 00:52:42 EDT 2023 % 0.15/0.36 % CPUTime : % 0.23/0.63 ________ _____ % 0.23/0.63 ___ __ \_________(_)________________________________ % 0.23/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/ % 0.23/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ ) % 0.23/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/ % 0.23/0.63 % 0.23/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic % 0.23/0.63 (2023-06-19) % 0.23/0.63 % 0.23/0.63 (c) Philipp Rümmer, 2009-2023 % 0.23/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen, % 0.23/0.63 Amanda Stjerna. % 0.23/0.63 Free software under BSD-3-Clause. % 0.23/0.63 % 0.23/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml % 0.23/0.63 % 0.23/0.63 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ... % 0.23/0.65 Running up to 7 provers in parallel. % 0.23/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423 % 0.23/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893 % 0.23/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994 % 0.23/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996 % 0.23/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288 % 0.23/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696 % 0.23/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365 % 2.68/1.09 Prover 1: Preprocessing ... % 2.68/1.09 Prover 4: Preprocessing ... % 3.01/1.14 Prover 0: Preprocessing ... % 3.01/1.14 Prover 2: Preprocessing ... % 3.01/1.14 Prover 6: Preprocessing ... % 3.01/1.14 Prover 3: Preprocessing ... % 3.01/1.14 Prover 5: Preprocessing ... % 4.32/1.38 Prover 5: Proving ... % 4.32/1.38 Prover 2: Proving ... % 5.14/1.45 Prover 1: Constructing countermodel ... % 5.14/1.45 Prover 6: Proving ... % 5.37/1.48 Prover 3: Constructing countermodel ... % 5.37/1.50 Prover 4: Constructing countermodel ... % 5.86/1.56 Prover 3: gave up % 5.86/1.56 Prover 1: gave up % 6.11/1.57 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470 % 6.11/1.57 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089 % 6.11/1.60 Prover 8: Preprocessing ... % 6.11/1.60 Prover 0: Proving ... % 6.11/1.60 Prover 7: Preprocessing ... % 6.11/1.61 Prover 2: proved (949ms) % 6.11/1.61 % 6.11/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.11/1.61 % 6.11/1.61 Prover 5: proved (948ms) % 6.11/1.61 % 6.11/1.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 6.11/1.61 % 6.11/1.61 Prover 6: stopped % 6.11/1.61 Prover 0: stopped % 6.62/1.63 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125 % 6.62/1.63 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443 % 6.62/1.63 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984 % 6.62/1.63 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683 % 6.62/1.65 Prover 13: Preprocessing ... % 6.62/1.65 Prover 10: Preprocessing ... % 6.62/1.66 Prover 11: Preprocessing ... % 6.62/1.66 Prover 7: Warning: ignoring some quantifiers % 6.62/1.67 Prover 7: Constructing countermodel ... % 6.88/1.67 Prover 16: Preprocessing ... % 6.88/1.69 Prover 13: Warning: ignoring some quantifiers % 6.88/1.70 Prover 13: Constructing countermodel ... % 6.88/1.71 Prover 10: Warning: ignoring some quantifiers % 6.88/1.72 Prover 10: Constructing countermodel ... % 6.88/1.73 Prover 8: Warning: ignoring some quantifiers % 6.88/1.73 Prover 7: Found proof (size 12) % 6.88/1.73 Prover 7: proved (170ms) % 6.88/1.73 Prover 13: stopped % 6.88/1.73 Prover 4: stopped % 7.38/1.73 Prover 16: Warning: ignoring some quantifiers % 7.38/1.73 Prover 10: stopped % 7.38/1.74 Prover 16: Constructing countermodel ... % 7.38/1.74 Prover 16: stopped % 7.38/1.74 Prover 8: Constructing countermodel ... % 7.38/1.75 Prover 8: stopped % 7.54/1.79 Prover 11: Constructing countermodel ... % 7.54/1.80 Prover 11: stopped % 7.54/1.80 % 7.54/1.80 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p % 7.54/1.80 % 7.54/1.80 % SZS output start Proof for theBenchmark % 7.54/1.81 Assumptions after simplification: % 7.54/1.81 --------------------------------- % 7.54/1.81 % 7.54/1.81 (axiom_2) % 7.54/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 7.54/1.81 ~ rr(v1, v2) | ~ rr(v0, v1) | ~ cp1(v2) | ~ cp1(v0) | cUnsatisfiable(v0) % 7.54/1.81 | ? [v3: $i] : ($i(v3) & rinvR(v2, v3) & cp1(v3))) & ! [v0: $i] : ( ~ % 7.54/1.81 $i(v0) | ~ cUnsatisfiable(v0) | cp1(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~ % 7.54/1.81 cUnsatisfiable(v0) | ? [v1: $i] : ? [v2: $i] : ($i(v2) & $i(v1) & rr(v1, % 7.54/1.81 v2) & rr(v0, v1) & cp1(v2) & ! [v3: $i] : ( ~ $i(v3) | ~ rinvR(v2, v3) % 7.54/1.81 | ~ cp1(v3)))) % 7.54/1.81 % 7.54/1.81 (axiom_5) % 7.54/1.82 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rr(v1, v0) | rinvR(v0, % 7.54/1.82 v1)) & ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rinvR(v0, % 7.54/1.82 v1) | rr(v1, v0)) % 7.54/1.82 % 7.54/1.82 (axiom_6) % 7.54/1.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | % 7.54/1.82 ~ rr(v1, v2) | ~ rr(v0, v1) | rr(v0, v2)) % 7.54/1.82 % 7.54/1.82 (axiom_7) % 7.54/1.82 $i(i2003_11_14_17_19_46763) & cUnsatisfiable(i2003_11_14_17_19_46763) % 7.54/1.82 % 7.54/1.82 Further assumptions not needed in the proof: % 7.54/1.82 -------------------------------------------- % 7.54/1.82 axiom_0, axiom_1, axiom_3, axiom_4, cUnsatisfiable_substitution_1, % 7.54/1.82 cowlNothing_substitution_1, cowlThing_substitution_1, cp1_substitution_1, % 7.54/1.82 rf_substitution_1, rf_substitution_2, rinvF_substitution_1, % 7.54/1.82 rinvF_substitution_2, rinvR_substitution_1, rinvR_substitution_2, % 7.54/1.82 rr_substitution_1, rr_substitution_2, xsd_integer_substitution_1, % 7.54/1.82 xsd_string_substitution_1 % 7.54/1.82 % 7.54/1.82 Those formulas are unsatisfiable: % 7.54/1.82 --------------------------------- % 7.54/1.82 % 7.54/1.82 Begin of proof % 7.54/1.82 | % 7.54/1.82 | ALPHA: (axiom_7) implies: % 7.54/1.82 | (1) cUnsatisfiable(i2003_11_14_17_19_46763) % 7.54/1.82 | (2) $i(i2003_11_14_17_19_46763) % 7.54/1.82 | % 7.54/1.82 | ALPHA: (axiom_5) implies: % 7.54/1.82 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rr(v1, v0) | % 7.54/1.82 | rinvR(v0, v1)) % 7.54/1.82 | % 7.54/1.82 | ALPHA: (axiom_2) implies: % 7.54/1.82 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : ? % 7.54/1.82 | [v2: $i] : ($i(v2) & $i(v1) & rr(v1, v2) & rr(v0, v1) & cp1(v2) & ! % 7.54/1.82 | [v3: $i] : ( ~ $i(v3) | ~ rinvR(v2, v3) | ~ cp1(v3)))) % 7.54/1.82 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | cp1(v0)) % 7.54/1.82 | % 7.87/1.83 | GROUND_INST: instantiating (5) with i2003_11_14_17_19_46763, simplifying with % 7.87/1.83 | (1), (2) gives: % 7.87/1.83 | (6) cp1(i2003_11_14_17_19_46763) % 7.87/1.83 | % 7.87/1.83 | GROUND_INST: instantiating (4) with i2003_11_14_17_19_46763, simplifying with % 7.87/1.83 | (1), (2) gives: % 7.87/1.83 | (7) ? [v0: $i] : ? [v1: $i] : ($i(v1) & $i(v0) & rr(v0, v1) & % 7.87/1.83 | rr(i2003_11_14_17_19_46763, v0) & cp1(v1) & ! [v2: $i] : ( ~ $i(v2) % 7.87/1.83 | | ~ rinvR(v1, v2) | ~ cp1(v2))) % 7.87/1.83 | % 7.87/1.83 | DELTA: instantiating (7) with fresh symbols all_18_0, all_18_1 gives: % 7.87/1.83 | (8) $i(all_18_0) & $i(all_18_1) & rr(all_18_1, all_18_0) & % 7.87/1.83 | rr(i2003_11_14_17_19_46763, all_18_1) & cp1(all_18_0) & ! [v0: $i] : ( % 7.87/1.83 | ~ $i(v0) | ~ rinvR(all_18_0, v0) | ~ cp1(v0)) % 7.87/1.83 | % 7.87/1.83 | ALPHA: (8) implies: % 7.87/1.83 | (9) rr(i2003_11_14_17_19_46763, all_18_1) % 7.87/1.83 | (10) rr(all_18_1, all_18_0) % 7.87/1.83 | (11) $i(all_18_1) % 7.87/1.83 | (12) $i(all_18_0) % 7.87/1.83 | (13) ! [v0: $i] : ( ~ $i(v0) | ~ rinvR(all_18_0, v0) | ~ cp1(v0)) % 7.87/1.83 | % 7.87/1.83 | GROUND_INST: instantiating (axiom_6) with i2003_11_14_17_19_46763, all_18_1, % 7.87/1.83 | all_18_0, simplifying with (2), (9), (10), (11), (12) gives: % 7.87/1.83 | (14) rr(i2003_11_14_17_19_46763, all_18_0) % 7.87/1.83 | % 7.87/1.83 | GROUND_INST: instantiating (13) with i2003_11_14_17_19_46763, simplifying with % 7.87/1.83 | (2), (6) gives: % 7.87/1.83 | (15) ~ rinvR(all_18_0, i2003_11_14_17_19_46763) % 7.87/1.83 | % 7.87/1.83 | GROUND_INST: instantiating (3) with all_18_0, i2003_11_14_17_19_46763, % 7.87/1.83 | simplifying with (2), (12), (14) gives: % 7.87/1.83 | (16) rinvR(all_18_0, i2003_11_14_17_19_46763) % 7.87/1.83 | % 7.87/1.83 | PRED_UNIFY: (15), (16) imply: % 7.87/1.83 | (17) $false % 7.87/1.83 | % 7.87/1.83 | CLOSE: (17) is inconsistent. % 7.87/1.83 | % 7.87/1.83 End of proof % 7.87/1.83 % SZS output end Proof for theBenchmark % 7.87/1.84 % 7.87/1.84 1201ms %------------------------------------------------------------------------------