TSTP Solution File: KRS075+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS075+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 : n020.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 05:51:09 EDT 2023
% Result : Unsatisfiable 5.77s 1.54s
% Output : Proof 8.03s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : KRS075+1 : TPTP v8.1.2. Released v3.1.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n020.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Aug 28 02:12:59 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 ________ _____
% 0.20/0.58 ___ __ \_________(_)________________________________
% 0.20/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.20/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.20/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.20/0.58
% 0.20/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.20/0.58 (2023-06-19)
% 0.20/0.58
% 0.20/0.58 (c) Philipp Rümmer, 2009-2023
% 0.20/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.20/0.58 Amanda Stjerna.
% 0.20/0.58 Free software under BSD-3-Clause.
% 0.20/0.58
% 0.20/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.20/0.58
% 0.20/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.20/0.59 Running up to 7 provers in parallel.
% 0.20/0.61 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.20/0.61 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.20/0.61 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.20/0.61 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.20/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.20/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.20/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.57/1.08 Prover 1: Preprocessing ...
% 2.57/1.09 Prover 4: Preprocessing ...
% 2.57/1.12 Prover 3: Preprocessing ...
% 2.57/1.12 Prover 6: Preprocessing ...
% 2.57/1.12 Prover 2: Preprocessing ...
% 2.57/1.12 Prover 0: Preprocessing ...
% 2.57/1.12 Prover 5: Preprocessing ...
% 4.68/1.37 Prover 5: Proving ...
% 4.68/1.37 Prover 2: Proving ...
% 4.68/1.42 Prover 3: Constructing countermodel ...
% 4.68/1.44 Prover 6: Proving ...
% 4.68/1.44 Prover 1: Constructing countermodel ...
% 4.68/1.52 Prover 6: gave up
% 4.68/1.52 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.77/1.53 Prover 0: Proving ...
% 5.77/1.53 Prover 2: proved (936ms)
% 5.77/1.53 Prover 5: proved (931ms)
% 5.77/1.54
% 5.77/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.77/1.54
% 5.77/1.54
% 5.77/1.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.77/1.54
% 5.77/1.54 Prover 3: stopped
% 5.77/1.54 Prover 0: stopped
% 5.77/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.77/1.54 Prover 1: gave up
% 5.77/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.77/1.54 Prover 4: Constructing countermodel ...
% 5.77/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.77/1.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.77/1.55 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 5.77/1.58 Prover 7: Preprocessing ...
% 6.53/1.59 Prover 13: Preprocessing ...
% 6.53/1.59 Prover 11: Preprocessing ...
% 6.53/1.59 Prover 10: Preprocessing ...
% 6.53/1.59 Prover 16: Preprocessing ...
% 6.53/1.61 Prover 8: Preprocessing ...
% 6.53/1.63 Prover 13: Warning: ignoring some quantifiers
% 6.53/1.63 Prover 7: Warning: ignoring some quantifiers
% 6.53/1.64 Prover 13: Constructing countermodel ...
% 6.53/1.64 Prover 10: Warning: ignoring some quantifiers
% 6.53/1.64 Prover 16: Warning: ignoring some quantifiers
% 6.53/1.64 Prover 7: Constructing countermodel ...
% 6.53/1.64 Prover 10: Constructing countermodel ...
% 6.53/1.64 Prover 16: Constructing countermodel ...
% 7.62/1.73 Prover 10: Found proof (size 20)
% 7.62/1.73 Prover 7: Found proof (size 20)
% 7.62/1.73 Prover 10: proved (192ms)
% 7.62/1.73 Prover 7: proved (210ms)
% 7.62/1.74 Prover 8: Warning: ignoring some quantifiers
% 7.62/1.74 Prover 16: stopped
% 7.62/1.74 Prover 8: Constructing countermodel ...
% 7.62/1.74 Prover 13: Found proof (size 20)
% 7.62/1.74 Prover 13: proved (201ms)
% 7.62/1.74 Prover 4: stopped
% 7.62/1.75 Prover 8: stopped
% 7.62/1.78 Prover 11: Constructing countermodel ...
% 7.62/1.79 Prover 11: stopped
% 7.62/1.79
% 7.62/1.79 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.62/1.79
% 7.62/1.80 % SZS output start Proof for theBenchmark
% 7.62/1.80 Assumptions after simplification:
% 7.62/1.80 ---------------------------------
% 7.62/1.80
% 7.62/1.80 (axiom_10)
% 7.62/1.80 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v1) | rf1(v0,
% 7.62/1.81 v1))
% 7.62/1.81
% 7.62/1.81 (axiom_11)
% 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v1) | rf(v0,
% 7.62/1.81 v1))
% 7.62/1.81
% 7.62/1.81 (axiom_2)
% 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ $i(v3) | ~ $i(v2)
% 7.62/1.81 | ~ $i(v1) | ~ $i(v0) | ~ rs(v0, v2) | ~ rf1(v0, v3) | ~ rf(v0, v1) |
% 7.62/1.81 ~ cp(v1) | ~ cowlThing(v2) | cp(v3) | cUnsatisfiable(v0)) & ! [v0: $i] : (
% 7.62/1.81 ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] : ($i(v1) & rs(v0, v1) &
% 7.62/1.81 cowlThing(v1))) & ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ?
% 7.62/1.81 [v1: $i] : ($i(v1) & rf1(v0, v1) & ~ cp(v1))) & ! [v0: $i] : ( ~ $i(v0) |
% 7.62/1.81 ~ cUnsatisfiable(v0) | ? [v1: $i] : ($i(v1) & rf(v0, v1) & cp(v1)))
% 7.62/1.81
% 7.62/1.81 (axiom_3)
% 7.62/1.81 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) |
% 7.62/1.81 ~ $i(v0) | ~ rf(v0, v2) | ~ rf(v0, v1))
% 7.62/1.81
% 7.62/1.81 (axiom_4)
% 7.62/1.82 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v2 = v1 | ~ $i(v2) | ~ $i(v1) |
% 7.62/1.82 ~ $i(v0) | ~ rf1(v0, v2) | ~ rf1(v0, v1))
% 7.62/1.82
% 7.62/1.82 (axiom_9)
% 7.62/1.82 $i(i2003_11_14_17_19_02584) & cUnsatisfiable(i2003_11_14_17_19_02584)
% 7.62/1.82
% 7.62/1.82 Further assumptions not needed in the proof:
% 7.62/1.82 --------------------------------------------
% 7.62/1.82 axiom_0, axiom_1, axiom_5, axiom_6, axiom_7, axiom_8,
% 7.62/1.82 cUnsatisfiable_substitution_1, cowlNothing_substitution_1,
% 7.62/1.82 cowlThing_substitution_1, cp_substitution_1, rf1_substitution_1,
% 7.62/1.82 rf1_substitution_2, rf_substitution_1, rf_substitution_2, rinvF1_substitution_1,
% 7.62/1.82 rinvF1_substitution_2, rinvF_substitution_1, rinvF_substitution_2,
% 7.62/1.82 rinvS_substitution_1, rinvS_substitution_2, rs_substitution_1,
% 7.62/1.82 rs_substitution_2, xsd_integer_substitution_1, xsd_string_substitution_1
% 7.62/1.82
% 7.62/1.82 Those formulas are unsatisfiable:
% 7.62/1.82 ---------------------------------
% 7.62/1.82
% 7.62/1.82 Begin of proof
% 7.62/1.82 |
% 7.62/1.82 | ALPHA: (axiom_9) implies:
% 7.62/1.82 | (1) cUnsatisfiable(i2003_11_14_17_19_02584)
% 7.62/1.82 | (2) $i(i2003_11_14_17_19_02584)
% 7.62/1.82 |
% 7.62/1.82 | ALPHA: (axiom_2) implies:
% 7.62/1.82 | (3) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] :
% 7.62/1.82 | ($i(v1) & rf(v0, v1) & cp(v1)))
% 7.62/1.82 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] :
% 7.62/1.82 | ($i(v1) & rf1(v0, v1) & ~ cp(v1)))
% 8.03/1.83 | (5) ! [v0: $i] : ( ~ $i(v0) | ~ cUnsatisfiable(v0) | ? [v1: $i] :
% 8.03/1.83 | ($i(v1) & rs(v0, v1) & cowlThing(v1)))
% 8.03/1.83 |
% 8.03/1.83 | GROUND_INST: instantiating (5) with i2003_11_14_17_19_02584, simplifying with
% 8.03/1.83 | (1), (2) gives:
% 8.03/1.83 | (6) ? [v0: $i] : ($i(v0) & rs(i2003_11_14_17_19_02584, v0) &
% 8.03/1.83 | cowlThing(v0))
% 8.03/1.83 |
% 8.03/1.83 | GROUND_INST: instantiating (4) with i2003_11_14_17_19_02584, simplifying with
% 8.03/1.83 | (1), (2) gives:
% 8.03/1.83 | (7) ? [v0: $i] : ($i(v0) & rf1(i2003_11_14_17_19_02584, v0) & ~ cp(v0))
% 8.03/1.83 |
% 8.03/1.83 | GROUND_INST: instantiating (3) with i2003_11_14_17_19_02584, simplifying with
% 8.03/1.83 | (1), (2) gives:
% 8.03/1.83 | (8) ? [v0: $i] : ($i(v0) & rf(i2003_11_14_17_19_02584, v0) & cp(v0))
% 8.03/1.83 |
% 8.03/1.83 | DELTA: instantiating (8) with fresh symbol all_21_0 gives:
% 8.03/1.83 | (9) $i(all_21_0) & rf(i2003_11_14_17_19_02584, all_21_0) & cp(all_21_0)
% 8.03/1.83 |
% 8.03/1.83 | ALPHA: (9) implies:
% 8.03/1.83 | (10) cp(all_21_0)
% 8.03/1.83 | (11) rf(i2003_11_14_17_19_02584, all_21_0)
% 8.03/1.83 | (12) $i(all_21_0)
% 8.03/1.83 |
% 8.03/1.83 | DELTA: instantiating (7) with fresh symbol all_23_0 gives:
% 8.03/1.83 | (13) $i(all_23_0) & rf1(i2003_11_14_17_19_02584, all_23_0) & ~
% 8.03/1.83 | cp(all_23_0)
% 8.03/1.83 |
% 8.03/1.83 | ALPHA: (13) implies:
% 8.03/1.83 | (14) ~ cp(all_23_0)
% 8.03/1.83 | (15) rf1(i2003_11_14_17_19_02584, all_23_0)
% 8.03/1.83 | (16) $i(all_23_0)
% 8.03/1.83 |
% 8.03/1.83 | DELTA: instantiating (6) with fresh symbol all_25_0 gives:
% 8.03/1.83 | (17) $i(all_25_0) & rs(i2003_11_14_17_19_02584, all_25_0) &
% 8.03/1.83 | cowlThing(all_25_0)
% 8.03/1.83 |
% 8.03/1.83 | ALPHA: (17) implies:
% 8.03/1.84 | (18) rs(i2003_11_14_17_19_02584, all_25_0)
% 8.03/1.84 | (19) $i(all_25_0)
% 8.03/1.84 |
% 8.03/1.84 | GROUND_INST: instantiating (axiom_10) with i2003_11_14_17_19_02584, all_25_0,
% 8.03/1.84 | simplifying with (2), (18), (19) gives:
% 8.03/1.84 | (20) rf1(i2003_11_14_17_19_02584, all_25_0)
% 8.03/1.84 |
% 8.03/1.84 | GROUND_INST: instantiating (axiom_11) with i2003_11_14_17_19_02584, all_25_0,
% 8.03/1.84 | simplifying with (2), (18), (19) gives:
% 8.03/1.84 | (21) rf(i2003_11_14_17_19_02584, all_25_0)
% 8.03/1.84 |
% 8.03/1.84 | GROUND_INST: instantiating (axiom_3) with i2003_11_14_17_19_02584, all_21_0,
% 8.03/1.84 | all_25_0, simplifying with (2), (11), (12), (19), (21) gives:
% 8.03/1.84 | (22) all_25_0 = all_21_0
% 8.03/1.84 |
% 8.03/1.84 | GROUND_INST: instantiating (axiom_4) with i2003_11_14_17_19_02584, all_23_0,
% 8.03/1.84 | all_25_0, simplifying with (2), (15), (16), (19), (20) gives:
% 8.03/1.84 | (23) all_25_0 = all_23_0
% 8.03/1.84 |
% 8.03/1.84 | COMBINE_EQS: (22), (23) imply:
% 8.03/1.84 | (24) all_23_0 = all_21_0
% 8.03/1.84 |
% 8.03/1.84 | SIMP: (24) implies:
% 8.03/1.84 | (25) all_23_0 = all_21_0
% 8.03/1.84 |
% 8.03/1.84 | REDUCE: (14), (25) imply:
% 8.03/1.84 | (26) ~ cp(all_21_0)
% 8.03/1.84 |
% 8.03/1.84 | PRED_UNIFY: (10), (26) imply:
% 8.03/1.84 | (27) $false
% 8.03/1.84 |
% 8.03/1.84 | CLOSE: (27) is inconsistent.
% 8.03/1.84 |
% 8.03/1.84 End of proof
% 8.03/1.84 % SZS output end Proof for theBenchmark
% 8.03/1.84
% 8.03/1.84 1265ms
%------------------------------------------------------------------------------