TSTP Solution File: KRS087+1 by Princess---230619
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%------------------------------------------------------------------------------
% 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
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