TSTP Solution File: KRS065+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : KRS065+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 : n017.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 05:51:07 EDT 2023
% Result : Unsatisfiable 3.36s 1.18s
% Output : Proof 4.07s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KRS065+1 : TPTP v8.1.2. Released v3.1.0.
% 0.11/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Aug 28 00:36:12 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 1.59/0.98 Prover 4: Preprocessing ...
% 1.59/0.99 Prover 1: Preprocessing ...
% 2.13/1.03 Prover 6: Preprocessing ...
% 2.13/1.03 Prover 0: Preprocessing ...
% 2.13/1.03 Prover 5: Preprocessing ...
% 2.13/1.03 Prover 2: Preprocessing ...
% 2.13/1.04 Prover 3: Preprocessing ...
% 2.66/1.11 Prover 2: Proving ...
% 2.66/1.11 Prover 5: Proving ...
% 2.66/1.12 Prover 6: Constructing countermodel ...
% 2.66/1.12 Prover 1: Constructing countermodel ...
% 2.66/1.12 Prover 3: Constructing countermodel ...
% 2.66/1.13 Prover 4: Constructing countermodel ...
% 2.66/1.17 Prover 0: Proving ...
% 2.66/1.18 Prover 2: proved (560ms)
% 2.66/1.18 Prover 5: proved (555ms)
% 3.36/1.18
% 3.36/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/1.18
% 3.36/1.18
% 3.36/1.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/1.18
% 3.36/1.19 Prover 6: stopped
% 3.36/1.19 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 3.36/1.19 Prover 0: stopped
% 3.36/1.19 Prover 3: proved (557ms)
% 3.36/1.19
% 3.36/1.19 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.36/1.19
% 3.36/1.19 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 3.36/1.19 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 3.36/1.19 Prover 4: Found proof (size 6)
% 3.36/1.19 Prover 1: Found proof (size 6)
% 3.36/1.19 Prover 4: proved (558ms)
% 3.36/1.19 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 3.36/1.19 Prover 1: proved (578ms)
% 3.36/1.19 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 3.36/1.20 Prover 7: Preprocessing ...
% 3.47/1.20 Prover 10: Preprocessing ...
% 3.47/1.20 Prover 11: Preprocessing ...
% 3.47/1.21 Prover 8: Preprocessing ...
% 3.47/1.21 Prover 13: Preprocessing ...
% 3.47/1.21 Prover 7: Warning: ignoring some quantifiers
% 3.47/1.21 Prover 7: Constructing countermodel ...
% 3.58/1.21 Prover 10: Warning: ignoring some quantifiers
% 3.58/1.22 Prover 7: stopped
% 3.58/1.22 Prover 10: Constructing countermodel ...
% 3.58/1.22 Prover 11: stopped
% 3.58/1.22 Prover 10: stopped
% 3.58/1.22 Prover 13: Warning: ignoring some quantifiers
% 3.58/1.22 Prover 13: Constructing countermodel ...
% 3.58/1.23 Prover 13: stopped
% 3.58/1.24 Prover 8: Warning: ignoring some quantifiers
% 3.58/1.25 Prover 8: Constructing countermodel ...
% 3.58/1.25 Prover 8: stopped
% 3.58/1.25
% 3.58/1.26 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.58/1.26
% 3.58/1.26 % SZS output start Proof for theBenchmark
% 3.58/1.26 Assumptions after simplification:
% 3.58/1.26 ---------------------------------
% 3.58/1.26
% 3.58/1.26 (axiom_0)
% 3.58/1.30 ! [v0: $i] : ! [v1: int] : (v1 = 0 | ~ (cowlThing(v0) = v1) | ~ $i(v0)) &
% 3.58/1.30 ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 3.58/1.30
% 3.58/1.30 (axiom_3)
% 3.58/1.30 $i(ib) & ? [v0: $i] : (rop(ib, v0) = 0 & cowlNothing(v0) = 0 & $i(v0))
% 3.58/1.30
% 3.58/1.30 Further assumptions not needed in the proof:
% 3.58/1.30 --------------------------------------------
% 3.58/1.30 axiom_1, axiom_2
% 3.58/1.30
% 3.58/1.30 Those formulas are unsatisfiable:
% 3.58/1.30 ---------------------------------
% 3.58/1.30
% 3.58/1.30 Begin of proof
% 3.58/1.30 |
% 3.58/1.30 | ALPHA: (axiom_0) implies:
% 3.58/1.30 | (1) ! [v0: $i] : ( ~ (cowlNothing(v0) = 0) | ~ $i(v0))
% 3.58/1.30 |
% 3.58/1.30 | ALPHA: (axiom_3) implies:
% 3.58/1.31 | (2) ? [v0: $i] : (rop(ib, v0) = 0 & cowlNothing(v0) = 0 & $i(v0))
% 3.58/1.31 |
% 3.58/1.31 | DELTA: instantiating (2) with fresh symbol all_8_0 gives:
% 3.58/1.31 | (3) rop(ib, all_8_0) = 0 & cowlNothing(all_8_0) = 0 & $i(all_8_0)
% 3.58/1.31 |
% 3.58/1.31 | ALPHA: (3) implies:
% 3.58/1.31 | (4) $i(all_8_0)
% 3.58/1.31 | (5) cowlNothing(all_8_0) = 0
% 3.58/1.31 |
% 4.07/1.31 | GROUND_INST: instantiating (1) with all_8_0, simplifying with (4), (5) gives:
% 4.07/1.31 | (6) $false
% 4.07/1.31 |
% 4.07/1.31 | CLOSE: (6) is inconsistent.
% 4.07/1.31 |
% 4.07/1.31 End of proof
% 4.07/1.31 % SZS output end Proof for theBenchmark
% 4.07/1.31
% 4.07/1.31 715ms
%------------------------------------------------------------------------------