TSTP Solution File: CSR042+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% 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 21:36:42 EDT 2023
% Result : Theorem 5.72s 1.51s
% Output : Proof 7.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : CSR042+1 : TPTP v8.1.2. Released v3.4.0.
% 0.08/0.15 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.16/0.36 % Computer : n016.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 12:55:14 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.22/0.63 ________ _____
% 0.22/0.63 ___ __ \_________(_)________________________________
% 0.22/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.22/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.22/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.22/0.63
% 0.22/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.22/0.63 (2023-06-19)
% 0.22/0.63
% 0.22/0.63 (c) Philipp Rümmer, 2009-2023
% 0.22/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.22/0.63 Amanda Stjerna.
% 0.22/0.63 Free software under BSD-3-Clause.
% 0.22/0.63
% 0.22/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.22/0.63
% 0.22/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.22/0.64 Running up to 7 provers in parallel.
% 0.22/0.66 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.22/0.66 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.22/0.66 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.22/0.66 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.22/0.66 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.22/0.66 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.22/0.66 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.57/1.07 Prover 1: Preprocessing ...
% 2.57/1.08 Prover 4: Preprocessing ...
% 2.57/1.11 Prover 0: Preprocessing ...
% 2.57/1.11 Prover 5: Preprocessing ...
% 2.57/1.11 Prover 2: Preprocessing ...
% 2.57/1.11 Prover 6: Preprocessing ...
% 2.57/1.12 Prover 3: Preprocessing ...
% 4.90/1.39 Prover 2: Constructing countermodel ...
% 4.90/1.41 Prover 5: Proving ...
% 5.13/1.44 Prover 3: Warning: ignoring some quantifiers
% 5.13/1.45 Prover 3: Constructing countermodel ...
% 5.13/1.46 Prover 1: Warning: ignoring some quantifiers
% 5.13/1.48 Prover 6: Proving ...
% 5.13/1.48 Prover 1: Constructing countermodel ...
% 5.72/1.50 Prover 2: proved (851ms)
% 5.72/1.51
% 5.72/1.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.72/1.51
% 5.72/1.51 Prover 3: stopped
% 5.72/1.51 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.72/1.51 Prover 6: stopped
% 5.72/1.51 Prover 5: stopped
% 5.72/1.52 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.72/1.52 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.72/1.52 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.72/1.56 Prover 4: Constructing countermodel ...
% 5.72/1.56 Prover 7: Preprocessing ...
% 5.72/1.56 Prover 11: Preprocessing ...
% 5.72/1.58 Prover 10: Preprocessing ...
% 6.29/1.58 Prover 8: Preprocessing ...
% 6.29/1.61 Prover 7: Constructing countermodel ...
% 6.29/1.65 Prover 10: Constructing countermodel ...
% 6.29/1.65 Prover 4: Found proof (size 14)
% 6.29/1.66 Prover 4: proved (999ms)
% 6.29/1.66 Prover 7: Found proof (size 8)
% 6.29/1.66 Prover 7: proved (148ms)
% 6.29/1.66 Prover 10: stopped
% 6.29/1.66 Prover 1: stopped
% 6.98/1.68 Prover 0: Proving ...
% 6.98/1.68 Prover 0: stopped
% 7.12/1.72 Prover 8: Warning: ignoring some quantifiers
% 7.27/1.73 Prover 8: Constructing countermodel ...
% 7.27/1.73 Prover 8: stopped
% 7.27/1.76 Prover 11: Constructing countermodel ...
% 7.27/1.77 Prover 11: stopped
% 7.27/1.77
% 7.27/1.77 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.27/1.77
% 7.27/1.77 % SZS output start Proof for theBenchmark
% 7.27/1.78 Assumptions after simplification:
% 7.27/1.78 ---------------------------------
% 7.27/1.78
% 7.27/1.78 (just1)
% 7.67/1.81 $i(c_georegion_l4_x27_y65) & $i(c_georegion_l4_x27_y64) &
% 7.67/1.81 $i(c_tptpgeo_member7_mt) & ? [v0: any] : ? [v1: any] :
% 7.67/1.81 (mtvisible(c_tptpgeo_member7_mt) = v0 & borderson(c_georegion_l4_x27_y64,
% 7.67/1.81 c_georegion_l4_x27_y65) = v1 & ( ~ (v0 = 0) | v1 = 0))
% 7.67/1.81
% 7.67/1.81 (just28)
% 7.67/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (borderson(v1, v0) =
% 7.67/1.81 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: int] : ( ~ (v3 = 0) & borderson(v0,
% 7.67/1.81 v1) = v3)) & ! [v0: $i] : ! [v1: $i] : ( ~ (borderson(v0, v1) = 0) |
% 7.67/1.81 ~ $i(v1) | ~ $i(v0) | borderson(v1, v0) = 0)
% 7.67/1.81
% 7.67/1.81 (query42)
% 7.67/1.81 mtvisible(c_tptpgeo_member7_mt) = 0 & $i(c_georegion_l4_x27_y64) &
% 7.67/1.81 $i(c_tptpgeo_member7_mt) & ! [v0: $i] : ( ~ (borderson(v0,
% 7.67/1.81 c_georegion_l4_x27_y64) = 0) | ~ $i(v0))
% 7.67/1.81
% 7.67/1.81 (function-axioms)
% 7.67/1.82 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 7.67/1.82 [v3: $i] : (v1 = v0 | ~ (genls(v3, v2) = v1) | ~ (genls(v3, v2) = v0)) & !
% 7.67/1.82 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 7.67/1.82 $i] : (v1 = v0 | ~ (genlpreds(v3, v2) = v1) | ~ (genlpreds(v3, v2) = v0))
% 7.67/1.82 & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 7.67/1.82 [v3: $i] : (v1 = v0 | ~ (genlinverse(v3, v2) = v1) | ~ (genlinverse(v3, v2)
% 7.67/1.82 = v0)) & ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2:
% 7.67/1.82 $i] : ! [v3: $i] : (v1 = v0 | ~ (disjointwith(v3, v2) = v1) | ~
% 7.67/1.82 (disjointwith(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.67/1.82 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (isa(v3, v2)
% 7.67/1.82 = v1) | ~ (isa(v3, v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.67/1.82 MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.67/1.82 (borderson(v3, v2) = v1) | ~ (borderson(v3, v2) = v0)) & ! [v0:
% 7.67/1.82 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 7.67/1.82 ~ (geographicalregion(v2) = v1) | ~ (geographicalregion(v2) = v0)) & !
% 7.67/1.82 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0
% 7.67/1.82 | ~ (thing(v2) = v1) | ~ (thing(v2) = v0)) & ! [v0: MultipleValueBool] :
% 7.67/1.82 ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (collection(v2) = v1)
% 7.67/1.82 | ~ (collection(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.67/1.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (binarypredicate(v2) = v1)
% 7.67/1.82 | ~ (binarypredicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.67/1.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (predicate(v2) = v1) | ~
% 7.67/1.82 (predicate(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 7.67/1.82 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (mtvisible(v2) = v1) | ~
% 7.67/1.82 (mtvisible(v2) = v0))
% 7.67/1.82
% 7.67/1.82 Further assumptions not needed in the proof:
% 7.67/1.82 --------------------------------------------
% 7.67/1.82 just10, just11, just12, just13, just14, just15, just16, just17, just18, just19,
% 7.67/1.82 just2, just20, just21, just22, just23, just24, just25, just26, just27, just29,
% 7.67/1.82 just3, just4, just5, just6, just7, just8, just9
% 7.67/1.82
% 7.67/1.82 Those formulas are unsatisfiable:
% 7.67/1.82 ---------------------------------
% 7.67/1.82
% 7.67/1.82 Begin of proof
% 7.67/1.83 |
% 7.67/1.83 | ALPHA: (just1) implies:
% 7.67/1.83 | (1) $i(c_georegion_l4_x27_y65)
% 7.67/1.83 | (2) ? [v0: any] : ? [v1: any] : (mtvisible(c_tptpgeo_member7_mt) = v0 &
% 7.67/1.83 | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65) = v1 & ( ~
% 7.67/1.83 | (v0 = 0) | v1 = 0))
% 7.67/1.83 |
% 7.67/1.83 | ALPHA: (just28) implies:
% 7.67/1.83 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (borderson(v0, v1) = 0) | ~ $i(v1) |
% 7.67/1.83 | ~ $i(v0) | borderson(v1, v0) = 0)
% 7.67/1.83 |
% 7.67/1.83 | ALPHA: (query42) implies:
% 7.67/1.83 | (4) $i(c_georegion_l4_x27_y64)
% 7.67/1.83 | (5) mtvisible(c_tptpgeo_member7_mt) = 0
% 7.67/1.83 | (6) ! [v0: $i] : ( ~ (borderson(v0, c_georegion_l4_x27_y64) = 0) | ~
% 7.67/1.83 | $i(v0))
% 7.67/1.83 |
% 7.67/1.83 | ALPHA: (function-axioms) implies:
% 7.67/1.83 | (7) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.67/1.83 | (v1 = v0 | ~ (mtvisible(v2) = v1) | ~ (mtvisible(v2) = v0))
% 7.67/1.83 |
% 7.67/1.83 | DELTA: instantiating (2) with fresh symbols all_32_0, all_32_1 gives:
% 7.67/1.83 | (8) mtvisible(c_tptpgeo_member7_mt) = all_32_1 &
% 7.67/1.83 | borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65) = all_32_0 &
% 7.67/1.83 | ( ~ (all_32_1 = 0) | all_32_0 = 0)
% 7.67/1.83 |
% 7.67/1.83 | ALPHA: (8) implies:
% 7.67/1.83 | (9) borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65) = all_32_0
% 7.67/1.84 | (10) mtvisible(c_tptpgeo_member7_mt) = all_32_1
% 7.67/1.84 | (11) ~ (all_32_1 = 0) | all_32_0 = 0
% 7.67/1.84 |
% 7.67/1.84 | GROUND_INST: instantiating (7) with 0, all_32_1, c_tptpgeo_member7_mt,
% 7.67/1.84 | simplifying with (5), (10) gives:
% 7.67/1.84 | (12) all_32_1 = 0
% 7.67/1.84 |
% 7.67/1.84 | BETA: splitting (11) gives:
% 7.67/1.84 |
% 7.67/1.84 | Case 1:
% 7.67/1.84 | |
% 7.67/1.84 | | (13) ~ (all_32_1 = 0)
% 7.67/1.84 | |
% 7.67/1.84 | | REDUCE: (12), (13) imply:
% 7.67/1.84 | | (14) $false
% 7.67/1.84 | |
% 7.67/1.84 | | CLOSE: (14) is inconsistent.
% 7.67/1.84 | |
% 7.67/1.84 | Case 2:
% 7.67/1.84 | |
% 7.67/1.84 | | (15) all_32_0 = 0
% 7.67/1.84 | |
% 7.67/1.84 | | REDUCE: (9), (15) imply:
% 7.67/1.84 | | (16) borderson(c_georegion_l4_x27_y64, c_georegion_l4_x27_y65) = 0
% 7.67/1.84 | |
% 7.67/1.84 | | GROUND_INST: instantiating (3) with c_georegion_l4_x27_y64,
% 7.67/1.84 | | c_georegion_l4_x27_y65, simplifying with (1), (4), (16) gives:
% 7.67/1.84 | | (17) borderson(c_georegion_l4_x27_y65, c_georegion_l4_x27_y64) = 0
% 7.67/1.84 | |
% 7.67/1.84 | | GROUND_INST: instantiating (6) with c_georegion_l4_x27_y65, simplifying with
% 7.67/1.84 | | (1), (17) gives:
% 7.67/1.84 | | (18) $false
% 7.67/1.84 | |
% 7.67/1.84 | | CLOSE: (18) is inconsistent.
% 7.67/1.84 | |
% 7.67/1.84 | End of split
% 7.67/1.84 |
% 7.67/1.84 End of proof
% 7.67/1.84 % SZS output end Proof for theBenchmark
% 7.67/1.84
% 7.67/1.84 1210ms
%------------------------------------------------------------------------------