TSTP Solution File: SEU083+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU083+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 : n028.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 17:42:29 EDT 2023
% Result : Theorem 9.87s 2.19s
% Output : Proof 13.95s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU083+1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n028.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 : Wed Aug 23 15:43:18 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/sandbox2/benchmark/theBenchmark.p ...
% 0.19/0.61 Running up to 7 provers in parallel.
% 0.19/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 3.35/1.15 Prover 1: Preprocessing ...
% 3.35/1.15 Prover 4: Preprocessing ...
% 3.35/1.19 Prover 2: Preprocessing ...
% 3.35/1.19 Prover 6: Preprocessing ...
% 3.35/1.20 Prover 0: Preprocessing ...
% 3.35/1.20 Prover 5: Preprocessing ...
% 3.35/1.20 Prover 3: Preprocessing ...
% 6.73/1.67 Prover 5: Proving ...
% 6.73/1.69 Prover 2: Proving ...
% 6.73/1.71 Prover 1: Warning: ignoring some quantifiers
% 7.37/1.75 Prover 6: Proving ...
% 7.37/1.76 Prover 1: Constructing countermodel ...
% 7.37/1.77 Prover 3: Warning: ignoring some quantifiers
% 7.37/1.78 Prover 3: Constructing countermodel ...
% 7.86/1.85 Prover 4: Warning: ignoring some quantifiers
% 8.54/1.90 Prover 4: Constructing countermodel ...
% 8.80/1.96 Prover 0: Proving ...
% 9.87/2.19 Prover 3: proved (1568ms)
% 9.87/2.19
% 9.87/2.19 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.87/2.19
% 9.87/2.20 Prover 6: stopped
% 9.87/2.20 Prover 2: stopped
% 9.87/2.20 Prover 0: stopped
% 9.87/2.20 Prover 5: stopped
% 9.87/2.20 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 9.87/2.20 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.87/2.20 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.87/2.20 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.87/2.20 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 10.88/2.28 Prover 13: Preprocessing ...
% 10.88/2.29 Prover 7: Preprocessing ...
% 10.88/2.30 Prover 8: Preprocessing ...
% 10.88/2.30 Prover 10: Preprocessing ...
% 10.88/2.31 Prover 11: Preprocessing ...
% 11.54/2.38 Prover 10: Warning: ignoring some quantifiers
% 12.10/2.39 Prover 10: Constructing countermodel ...
% 12.10/2.42 Prover 7: Warning: ignoring some quantifiers
% 12.10/2.42 Prover 13: Warning: ignoring some quantifiers
% 12.10/2.43 Prover 7: Constructing countermodel ...
% 12.10/2.43 Prover 13: Constructing countermodel ...
% 13.06/2.52 Prover 8: Warning: ignoring some quantifiers
% 13.13/2.53 Prover 8: Constructing countermodel ...
% 13.13/2.55 Prover 10: Found proof (size 4)
% 13.13/2.55 Prover 10: proved (355ms)
% 13.13/2.55 Prover 7: stopped
% 13.13/2.55 Prover 4: stopped
% 13.13/2.56 Prover 13: stopped
% 13.13/2.56 Prover 1: stopped
% 13.13/2.56 Prover 8: stopped
% 13.13/2.61 Prover 11: Warning: ignoring some quantifiers
% 13.66/2.64 Prover 11: Constructing countermodel ...
% 13.66/2.67 Prover 11: stopped
% 13.66/2.67
% 13.66/2.67 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.66/2.67
% 13.66/2.67 % SZS output start Proof for theBenchmark
% 13.95/2.68 Assumptions after simplification:
% 13.95/2.68 ---------------------------------
% 13.95/2.68
% 13.95/2.68 (fc9_finset_1)
% 13.95/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v0, v1) = v2) | ~
% 13.95/2.72 $i(v1) | ~ $i(v0) | ~ finite(v1) | ~ finite(v0) | finite(v2))
% 13.95/2.72
% 13.95/2.72 (l3_finset_1)
% 13.95/2.72 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (set_union2(v0, v1) = v2) | ~
% 13.95/2.72 $i(v1) | ~ $i(v0) | ~ finite(v1) | ~ finite(v0) | finite(v2))
% 13.95/2.72
% 13.95/2.72 (t14_finset_1)
% 13.95/2.72 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : (set_union2(v0, v1) = v2 & $i(v2) &
% 13.95/2.72 $i(v1) & $i(v0) & finite(v1) & finite(v0) & ~ finite(v2))
% 13.95/2.72
% 13.95/2.72 Further assumptions not needed in the proof:
% 13.95/2.72 --------------------------------------------
% 13.95/2.72 antisymmetry_r2_hidden, cc1_arytm_3, cc1_finset_1, cc1_funct_1, cc1_ordinal1,
% 13.95/2.72 cc1_relat_1, cc2_arytm_3, cc2_finset_1, cc2_funct_1, cc2_ordinal1, cc3_ordinal1,
% 13.95/2.72 cc4_arytm_3, commutativity_k2_xboole_0, existence_m1_subset_1, fc12_relat_1,
% 13.95/2.72 fc1_subset_1, fc1_xboole_0, fc2_ordinal1, fc2_relat_1, fc2_xboole_0,
% 13.95/2.72 fc3_xboole_0, fc4_relat_1, fc8_arytm_3, idempotence_k2_xboole_0, rc1_arytm_3,
% 13.95/2.72 rc1_finset_1, rc1_funcop_1, rc1_funct_1, rc1_ordinal1, rc1_ordinal2,
% 13.95/2.73 rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_arytm_3, rc2_finset_1, rc2_funct_1,
% 13.95/2.73 rc2_ordinal1, rc2_ordinal2, rc2_relat_1, rc2_subset_1, rc2_xboole_0,
% 13.95/2.73 rc3_arytm_3, rc3_finset_1, rc3_funct_1, rc3_ordinal1, rc3_relat_1, rc4_funct_1,
% 13.95/2.73 rc4_ordinal1, rc5_funct_1, reflexivity_r1_tarski, t1_boole, t1_subset,
% 13.95/2.73 t2_subset, t3_subset, t4_subset, t5_subset, t6_boole, t7_boole, t8_boole
% 13.95/2.73
% 13.95/2.73 Those formulas are unsatisfiable:
% 13.95/2.73 ---------------------------------
% 13.95/2.73
% 13.95/2.73 Begin of proof
% 13.95/2.73 |
% 13.95/2.73 | DELTA: instantiating (t14_finset_1) with fresh symbols all_77_0, all_77_1,
% 13.95/2.73 | all_77_2 gives:
% 13.95/2.73 | (1) set_union2(all_77_2, all_77_1) = all_77_0 & $i(all_77_0) & $i(all_77_1)
% 13.95/2.73 | & $i(all_77_2) & finite(all_77_1) & finite(all_77_2) & ~
% 13.95/2.73 | finite(all_77_0)
% 13.95/2.73 |
% 13.95/2.73 | ALPHA: (1) implies:
% 13.95/2.73 | (2) ~ finite(all_77_0)
% 13.95/2.73 | (3) finite(all_77_2)
% 13.95/2.73 | (4) finite(all_77_1)
% 13.95/2.73 | (5) $i(all_77_2)
% 13.95/2.73 | (6) $i(all_77_1)
% 13.95/2.73 | (7) set_union2(all_77_2, all_77_1) = all_77_0
% 13.95/2.73 |
% 13.95/2.73 | GROUND_INST: instantiating (l3_finset_1) with all_77_2, all_77_1, all_77_0,
% 13.95/2.73 | simplifying with (2), (3), (4), (5), (6), (7) gives:
% 13.95/2.73 | (8) $false
% 13.95/2.73 |
% 13.95/2.73 | CLOSE: (8) is inconsistent.
% 13.95/2.73 |
% 13.95/2.73 End of proof
% 13.95/2.73 % SZS output end Proof for theBenchmark
% 13.95/2.73
% 13.95/2.73 2136ms
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