TSTP Solution File: SWV392+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n009.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 22:56:08 EDT 2023
% Result : Theorem 6.49s 1.55s
% Output : Proof 7.82s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV392+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n009.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 : Tue Aug 29 09:59:50 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.46/0.61 ________ _____
% 0.46/0.61 ___ __ \_________(_)________________________________
% 0.46/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.46/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.46/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.46/0.61
% 0.46/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.46/0.61 (2023-06-19)
% 0.46/0.61
% 0.46/0.61 (c) Philipp Rümmer, 2009-2023
% 0.46/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.46/0.61 Amanda Stjerna.
% 0.46/0.61 Free software under BSD-3-Clause.
% 0.46/0.61
% 0.46/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.46/0.61
% 0.46/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.46/0.62 Running up to 7 provers in parallel.
% 0.46/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.46/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.46/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.46/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.46/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.46/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.46/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.07/1.03 Prover 1: Preprocessing ...
% 2.75/1.04 Prover 4: Preprocessing ...
% 2.75/1.08 Prover 5: Preprocessing ...
% 2.75/1.08 Prover 2: Preprocessing ...
% 2.75/1.08 Prover 3: Preprocessing ...
% 2.75/1.08 Prover 0: Preprocessing ...
% 2.75/1.08 Prover 6: Preprocessing ...
% 5.30/1.43 Prover 6: Constructing countermodel ...
% 5.30/1.44 Prover 3: Constructing countermodel ...
% 5.30/1.44 Prover 1: Constructing countermodel ...
% 5.86/1.47 Prover 5: Proving ...
% 5.86/1.47 Prover 2: Proving ...
% 5.86/1.50 Prover 4: Constructing countermodel ...
% 6.22/1.54 Prover 0: Proving ...
% 6.49/1.55 Prover 6: proved (918ms)
% 6.49/1.55
% 6.49/1.55 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.49/1.55
% 6.49/1.55 Prover 3: stopped
% 6.49/1.55 Prover 5: stopped
% 6.49/1.55 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.49/1.55 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.49/1.56 Prover 2: stopped
% 6.49/1.56 Prover 0: stopped
% 6.49/1.56 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.49/1.57 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.49/1.57 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.49/1.58 Prover 4: Found proof (size 6)
% 6.49/1.58 Prover 4: proved (947ms)
% 6.49/1.58 Prover 1: Found proof (size 6)
% 6.49/1.58 Prover 1: proved (952ms)
% 6.49/1.60 Prover 7: Preprocessing ...
% 6.49/1.61 Prover 10: Preprocessing ...
% 6.49/1.62 Prover 11: Preprocessing ...
% 6.49/1.62 Prover 13: Preprocessing ...
% 6.49/1.62 Prover 8: Preprocessing ...
% 6.49/1.63 Prover 7: stopped
% 7.13/1.64 Prover 10: stopped
% 7.13/1.65 Prover 11: stopped
% 7.13/1.65 Prover 13: stopped
% 7.39/1.70 Prover 8: Warning: ignoring some quantifiers
% 7.39/1.71 Prover 8: Constructing countermodel ...
% 7.39/1.72 Prover 8: stopped
% 7.39/1.72
% 7.39/1.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.39/1.72
% 7.39/1.72 % SZS output start Proof for theBenchmark
% 7.39/1.72 Assumptions after simplification:
% 7.39/1.72 ---------------------------------
% 7.39/1.73
% 7.39/1.73 (ax22)
% 7.39/1.75 $i(create_slb) & ! [v0: $i] : ! [v1: $i] : ( ~ (pair_in_list(create_slb, v0,
% 7.39/1.75 v1) = 0) | ~ $i(v1) | ~ $i(v0))
% 7.39/1.75
% 7.39/1.75 (l28_co)
% 7.74/1.76 $i(create_slb) & ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ?
% 7.74/1.76 [v4: int] : ( ~ (v4 = 0) & ~ (v2 = v0) & remove_slb(create_slb, v2) = v3 &
% 7.74/1.76 pair_in_list(v3, v0, v1) = v4 & pair_in_list(create_slb, v0, v1) = 0 &
% 7.74/1.76 contains_slb(create_slb, v2) = 0 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 7.74/1.76
% 7.74/1.76 Further assumptions not needed in the proof:
% 7.74/1.76 --------------------------------------------
% 7.74/1.76 ax18, ax19, ax20, ax21, ax23, ax24, ax25, ax26, ax27, ax28, ax29, ax30,
% 7.74/1.76 bottom_smallest, reflexivity, stricly_smaller_definition, totality, transitivity
% 7.74/1.76
% 7.74/1.76 Those formulas are unsatisfiable:
% 7.74/1.76 ---------------------------------
% 7.74/1.76
% 7.74/1.76 Begin of proof
% 7.74/1.76 |
% 7.74/1.76 | ALPHA: (ax22) implies:
% 7.74/1.76 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (pair_in_list(create_slb, v0, v1) = 0)
% 7.74/1.76 | | ~ $i(v1) | ~ $i(v0))
% 7.74/1.76 |
% 7.74/1.76 | ALPHA: (l28_co) implies:
% 7.74/1.76 | (2) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] :
% 7.74/1.76 | ( ~ (v4 = 0) & ~ (v2 = v0) & remove_slb(create_slb, v2) = v3 &
% 7.74/1.76 | pair_in_list(v3, v0, v1) = v4 & pair_in_list(create_slb, v0, v1) = 0
% 7.74/1.76 | & contains_slb(create_slb, v2) = 0 & $i(v3) & $i(v2) & $i(v1) &
% 7.74/1.76 | $i(v0))
% 7.74/1.76 |
% 7.74/1.77 | DELTA: instantiating (2) with fresh symbols all_23_0, all_23_1, all_23_2,
% 7.74/1.77 | all_23_3, all_23_4 gives:
% 7.74/1.77 | (3) ~ (all_23_0 = 0) & ~ (all_23_2 = all_23_4) & remove_slb(create_slb,
% 7.74/1.77 | all_23_2) = all_23_1 & pair_in_list(all_23_1, all_23_4, all_23_3) =
% 7.74/1.77 | all_23_0 & pair_in_list(create_slb, all_23_4, all_23_3) = 0 &
% 7.74/1.77 | contains_slb(create_slb, all_23_2) = 0 & $i(all_23_1) & $i(all_23_2) &
% 7.74/1.77 | $i(all_23_3) & $i(all_23_4)
% 7.74/1.77 |
% 7.74/1.77 | ALPHA: (3) implies:
% 7.74/1.77 | (4) $i(all_23_4)
% 7.74/1.77 | (5) $i(all_23_3)
% 7.74/1.77 | (6) pair_in_list(create_slb, all_23_4, all_23_3) = 0
% 7.74/1.77 |
% 7.74/1.77 | GROUND_INST: instantiating (1) with all_23_4, all_23_3, simplifying with (4),
% 7.74/1.77 | (5), (6) gives:
% 7.74/1.77 | (7) $false
% 7.82/1.77 |
% 7.82/1.77 | CLOSE: (7) is inconsistent.
% 7.82/1.77 |
% 7.82/1.77 End of proof
% 7.82/1.77 % SZS output end Proof for theBenchmark
% 7.82/1.77
% 7.82/1.77 1161ms
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