TSTP Solution File: NUM395+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : NUM395+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 : n024.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 11:47:34 EDT 2023
% Result : Theorem 5.91s 1.51s
% Output : Proof 7.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM395+1 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 14:28:24 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.21/0.62 ________ _____
% 0.21/0.62 ___ __ \_________(_)________________________________
% 0.21/0.62 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.62 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.62 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.62
% 0.21/0.62 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.62 (2023-06-19)
% 0.21/0.62
% 0.21/0.62 (c) Philipp Rümmer, 2009-2023
% 0.21/0.62 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.62 Amanda Stjerna.
% 0.21/0.62 Free software under BSD-3-Clause.
% 0.21/0.62
% 0.21/0.62 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.62
% 0.21/0.62 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.21/0.63 Running up to 7 provers in parallel.
% 0.53/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.53/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.53/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.53/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.53/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.53/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.53/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 2.01/1.03 Prover 1: Preprocessing ...
% 2.01/1.03 Prover 4: Preprocessing ...
% 2.71/1.08 Prover 5: Preprocessing ...
% 2.71/1.08 Prover 6: Preprocessing ...
% 2.71/1.08 Prover 0: Preprocessing ...
% 2.71/1.08 Prover 3: Preprocessing ...
% 2.71/1.08 Prover 2: Preprocessing ...
% 3.92/1.29 Prover 2: Proving ...
% 4.52/1.31 Prover 5: Proving ...
% 4.52/1.35 Prover 1: Warning: ignoring some quantifiers
% 4.52/1.37 Prover 1: Constructing countermodel ...
% 4.52/1.39 Prover 3: Warning: ignoring some quantifiers
% 4.52/1.39 Prover 6: Proving ...
% 4.52/1.40 Prover 3: Constructing countermodel ...
% 5.26/1.40 Prover 4: Warning: ignoring some quantifiers
% 5.26/1.43 Prover 4: Constructing countermodel ...
% 5.26/1.45 Prover 0: Proving ...
% 5.91/1.51 Prover 2: proved (868ms)
% 5.91/1.51
% 5.91/1.51 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.91/1.51
% 5.91/1.51 Prover 5: stopped
% 5.91/1.52 Prover 3: stopped
% 5.91/1.53 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 5.91/1.53 Prover 0: stopped
% 5.91/1.53 Prover 6: stopped
% 5.91/1.54 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 5.91/1.54 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 5.91/1.54 Prover 7: Preprocessing ...
% 5.91/1.54 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.91/1.54 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 5.91/1.56 Prover 10: Preprocessing ...
% 5.91/1.57 Prover 8: Preprocessing ...
% 5.91/1.59 Prover 7: Warning: ignoring some quantifiers
% 5.91/1.59 Prover 11: Preprocessing ...
% 5.91/1.59 Prover 13: Preprocessing ...
% 6.62/1.60 Prover 7: Constructing countermodel ...
% 6.66/1.63 Prover 10: Warning: ignoring some quantifiers
% 6.66/1.63 Prover 10: Constructing countermodel ...
% 6.66/1.66 Prover 13: Warning: ignoring some quantifiers
% 6.66/1.68 Prover 8: Warning: ignoring some quantifiers
% 6.66/1.68 Prover 13: Constructing countermodel ...
% 6.66/1.70 Prover 8: Constructing countermodel ...
% 7.37/1.70 Prover 7: Found proof (size 6)
% 7.37/1.70 Prover 7: proved (192ms)
% 7.37/1.70 Prover 10: stopped
% 7.37/1.70 Prover 13: stopped
% 7.37/1.70 Prover 4: stopped
% 7.37/1.71 Prover 1: stopped
% 7.37/1.71 Prover 8: stopped
% 7.37/1.74 Prover 11: Warning: ignoring some quantifiers
% 7.37/1.75 Prover 11: Constructing countermodel ...
% 7.37/1.76 Prover 11: stopped
% 7.37/1.76
% 7.37/1.76 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.37/1.76
% 7.37/1.76 % SZS output start Proof for theBenchmark
% 7.37/1.77 Assumptions after simplification:
% 7.37/1.77 ---------------------------------
% 7.37/1.77
% 7.37/1.77 (d4_ordinal1)
% 7.37/1.77 ! [v0: $i] : ( ~ $i(v0) | ~ epsilon_connected(v0) | ~
% 7.37/1.77 epsilon_transitive(v0) | ordinal(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 7.37/1.77 ordinal(v0) | epsilon_connected(v0)) & ! [v0: $i] : ( ~ $i(v0) | ~
% 7.37/1.77 ordinal(v0) | epsilon_transitive(v0))
% 7.37/1.77
% 7.37/1.77 (fc4_relat_1)
% 7.37/1.77 $i(empty_set) & relation(empty_set) & empty(empty_set)
% 7.37/1.77
% 7.37/1.77 (l18_ordinal1)
% 7.37/1.77 $i(empty_set) & epsilon_connected(empty_set) & epsilon_transitive(empty_set)
% 7.37/1.77
% 7.37/1.77 (t27_ordinal1)
% 7.37/1.78 $i(empty_set) & ~ ordinal(empty_set)
% 7.37/1.78
% 7.37/1.78 Further assumptions not needed in the proof:
% 7.37/1.78 --------------------------------------------
% 7.37/1.78 antisymmetry_r2_hidden, cc1_funct_1, cc1_ordinal1, cc1_relat_1, cc2_funct_1,
% 7.37/1.78 cc2_ordinal1, existence_m1_subset_1, fc12_relat_1, fc1_xboole_0, rc1_funct_1,
% 7.37/1.78 rc1_ordinal1, rc1_relat_1, rc1_xboole_0, rc2_funct_1, rc2_relat_1, rc2_xboole_0,
% 7.37/1.78 rc3_funct_1, rc3_relat_1, rc4_funct_1, rc5_funct_1, t1_subset, t2_subset,
% 7.37/1.78 t6_boole, t7_boole, t8_boole
% 7.37/1.78
% 7.37/1.78 Those formulas are unsatisfiable:
% 7.37/1.78 ---------------------------------
% 7.37/1.78
% 7.37/1.78 Begin of proof
% 7.37/1.78 |
% 7.37/1.78 | ALPHA: (t27_ordinal1) implies:
% 7.37/1.78 | (1) ~ ordinal(empty_set)
% 7.37/1.78 |
% 7.37/1.78 | ALPHA: (l18_ordinal1) implies:
% 7.37/1.78 | (2) epsilon_transitive(empty_set)
% 7.37/1.78 | (3) epsilon_connected(empty_set)
% 7.37/1.78 |
% 7.37/1.78 | ALPHA: (d4_ordinal1) implies:
% 7.37/1.78 | (4) ! [v0: $i] : ( ~ $i(v0) | ~ epsilon_connected(v0) | ~
% 7.37/1.78 | epsilon_transitive(v0) | ordinal(v0))
% 7.37/1.78 |
% 7.37/1.78 | ALPHA: (fc4_relat_1) implies:
% 7.37/1.78 | (5) $i(empty_set)
% 7.37/1.78 |
% 7.37/1.78 | GROUND_INST: instantiating (4) with empty_set, simplifying with (1), (2), (3),
% 7.37/1.78 | (5) gives:
% 7.37/1.78 | (6) $false
% 7.37/1.78 |
% 7.37/1.78 | CLOSE: (6) is inconsistent.
% 7.37/1.78 |
% 7.37/1.78 End of proof
% 7.37/1.78 % SZS output end Proof for theBenchmark
% 7.37/1.78
% 7.37/1.78 1164ms
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