TSTP Solution File: NUM387+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n015.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 11:47:33 EDT 2023
% Result : Theorem 6.87s 1.60s
% Output : Proof 8.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM387+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n015.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Aug 25 09:21:51 EDT 2023
% 0.19/0.34 % CPUTime :
% 0.19/0.58 ________ _____
% 0.19/0.58 ___ __ \_________(_)________________________________
% 0.19/0.58 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.58 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.58 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.58 (2023-06-19)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2023
% 0.19/0.58 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.58 Amanda Stjerna.
% 0.19/0.58 Free software under BSD-3-Clause.
% 0.19/0.58
% 0.19/0.58 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.58
% 0.19/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.59 Running up to 7 provers in parallel.
% 0.19/0.60 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.60 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.60 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.60 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.61 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.61 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.61 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.37/1.00 Prover 1: Preprocessing ...
% 2.37/1.00 Prover 4: Preprocessing ...
% 2.37/1.04 Prover 6: Preprocessing ...
% 2.37/1.04 Prover 0: Preprocessing ...
% 2.37/1.04 Prover 3: Preprocessing ...
% 2.37/1.04 Prover 5: Preprocessing ...
% 2.37/1.04 Prover 2: Preprocessing ...
% 4.49/1.33 Prover 1: Warning: ignoring some quantifiers
% 5.21/1.37 Prover 3: Warning: ignoring some quantifiers
% 5.21/1.37 Prover 1: Constructing countermodel ...
% 5.21/1.37 Prover 5: Proving ...
% 5.21/1.38 Prover 2: Proving ...
% 5.21/1.38 Prover 4: Warning: ignoring some quantifiers
% 5.21/1.39 Prover 3: Constructing countermodel ...
% 5.21/1.39 Prover 6: Proving ...
% 5.21/1.40 Prover 4: Constructing countermodel ...
% 5.21/1.41 Prover 0: Proving ...
% 6.75/1.60 Prover 5: proved (994ms)
% 6.87/1.60
% 6.87/1.60 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.87/1.60
% 6.87/1.60 Prover 3: stopped
% 6.87/1.60 Prover 2: stopped
% 6.87/1.60 Prover 6: stopped
% 6.87/1.60 Prover 0: stopped
% 6.87/1.60 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.87/1.60 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.87/1.60 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.87/1.60 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.87/1.60 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.96/1.65 Prover 10: Preprocessing ...
% 6.96/1.65 Prover 7: Preprocessing ...
% 6.96/1.65 Prover 8: Preprocessing ...
% 6.96/1.67 Prover 13: Preprocessing ...
% 6.96/1.68 Prover 1: gave up
% 6.96/1.69 Prover 11: Preprocessing ...
% 6.96/1.69 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 6.96/1.70 Prover 10: Warning: ignoring some quantifiers
% 6.96/1.71 Prover 10: Constructing countermodel ...
% 7.68/1.72 Prover 16: Preprocessing ...
% 7.68/1.74 Prover 7: Warning: ignoring some quantifiers
% 7.68/1.76 Prover 7: Constructing countermodel ...
% 7.68/1.77 Prover 16: Warning: ignoring some quantifiers
% 7.68/1.78 Prover 13: Warning: ignoring some quantifiers
% 7.68/1.78 Prover 16: Constructing countermodel ...
% 7.68/1.79 Prover 10: Found proof (size 5)
% 7.68/1.79 Prover 10: proved (183ms)
% 7.68/1.79 Prover 7: stopped
% 7.68/1.79 Prover 4: stopped
% 7.68/1.79 Prover 16: stopped
% 8.35/1.80 Prover 13: Constructing countermodel ...
% 8.35/1.80 Prover 8: Warning: ignoring some quantifiers
% 8.35/1.80 Prover 13: stopped
% 8.35/1.81 Prover 8: Constructing countermodel ...
% 8.35/1.82 Prover 8: stopped
% 8.35/1.82 Prover 11: Warning: ignoring some quantifiers
% 8.35/1.83 Prover 11: Constructing countermodel ...
% 8.35/1.84 Prover 11: stopped
% 8.35/1.84
% 8.35/1.84 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.35/1.84
% 8.35/1.84 % SZS output start Proof for theBenchmark
% 8.35/1.84 Assumptions after simplification:
% 8.35/1.84 ---------------------------------
% 8.35/1.84
% 8.35/1.84 (antisymmetry_r2_hidden)
% 8.35/1.85 ! [v0: $i] : ! [v1: $i] : ( ~ $i(v1) | ~ $i(v0) | ~ in(v1, v0) | ~ in(v0,
% 8.35/1.85 v1))
% 8.35/1.85
% 8.35/1.85 (t10_ordinal1)
% 8.35/1.87 ! [v0: $i] : ! [v1: $i] : ( ~ (succ(v0) = v1) | ~ $i(v0) | in(v0, v1))
% 8.35/1.87
% 8.35/1.87 (t14_ordinal1)
% 8.35/1.87 ? [v0: $i] : (succ(v0) = v0 & $i(v0))
% 8.35/1.87
% 8.35/1.87 Further assumptions not needed in the proof:
% 8.35/1.87 --------------------------------------------
% 8.35/1.87 cc1_funct_1, cc1_relat_1, cc2_funct_1, commutativity_k2_xboole_0, d1_ordinal1,
% 8.35/1.87 existence_m1_subset_1, fc12_relat_1, fc1_ordinal1, fc1_xboole_0, fc2_relat_1,
% 8.35/1.87 fc2_xboole_0, fc3_xboole_0, fc4_relat_1, idempotence_k2_xboole_0, rc1_funct_1,
% 8.35/1.87 rc1_relat_1, rc1_xboole_0, rc2_funct_1, rc2_relat_1, rc2_xboole_0, rc3_funct_1,
% 8.35/1.87 rc3_relat_1, rc4_funct_1, rc5_funct_1, t1_boole, t1_subset, t2_subset, t6_boole,
% 8.35/1.87 t7_boole, t8_boole
% 8.35/1.87
% 8.35/1.87 Those formulas are unsatisfiable:
% 8.35/1.87 ---------------------------------
% 8.35/1.87
% 8.35/1.87 Begin of proof
% 8.35/1.87 |
% 8.35/1.87 | DELTA: instantiating (t14_ordinal1) with fresh symbol all_22_0 gives:
% 8.35/1.87 | (1) succ(all_22_0) = all_22_0 & $i(all_22_0)
% 8.35/1.87 |
% 8.35/1.87 | ALPHA: (1) implies:
% 8.35/1.87 | (2) $i(all_22_0)
% 8.35/1.87 | (3) succ(all_22_0) = all_22_0
% 8.35/1.87 |
% 8.35/1.88 | GROUND_INST: instantiating (t10_ordinal1) with all_22_0, all_22_0, simplifying
% 8.35/1.88 | with (2), (3) gives:
% 8.35/1.88 | (4) in(all_22_0, all_22_0)
% 8.35/1.88 |
% 8.35/1.88 | GROUND_INST: instantiating (antisymmetry_r2_hidden) with all_22_0, all_22_0,
% 8.35/1.88 | simplifying with (2), (4) gives:
% 8.35/1.88 | (5) $false
% 8.35/1.88 |
% 8.35/1.88 | CLOSE: (5) is inconsistent.
% 8.35/1.88 |
% 8.35/1.88 End of proof
% 8.35/1.88 % SZS output end Proof for theBenchmark
% 8.35/1.88
% 8.35/1.88 1298ms
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