TSTP Solution File: SEU200+1 by Princess---230619
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU200+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 : n029.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 17:43:13 EDT 2023
% Result : Theorem 9.75s 2.07s
% Output : Proof 11.35s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU200+1 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 24 01:53:53 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.63 ________ _____
% 0.19/0.63 ___ __ \_________(_)________________________________
% 0.19/0.63 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.63 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.63 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.63
% 0.19/0.63 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.63 (2023-06-19)
% 0.19/0.63
% 0.19/0.63 (c) Philipp Rümmer, 2009-2023
% 0.19/0.63 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.63 Amanda Stjerna.
% 0.19/0.63 Free software under BSD-3-Clause.
% 0.19/0.63
% 0.19/0.63 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.64
% 0.19/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.65 Running up to 7 provers in parallel.
% 0.19/0.67 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.67 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.67 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.67 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.67 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.67 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.67 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.76/1.07 Prover 4: Preprocessing ...
% 2.76/1.08 Prover 1: Preprocessing ...
% 2.76/1.11 Prover 5: Preprocessing ...
% 2.76/1.11 Prover 2: Preprocessing ...
% 2.76/1.11 Prover 3: Preprocessing ...
% 2.76/1.11 Prover 0: Preprocessing ...
% 2.76/1.12 Prover 6: Preprocessing ...
% 4.92/1.42 Prover 1: Warning: ignoring some quantifiers
% 4.92/1.46 Prover 1: Constructing countermodel ...
% 4.92/1.46 Prover 5: Proving ...
% 4.92/1.47 Prover 2: Proving ...
% 4.92/1.52 Prover 3: Warning: ignoring some quantifiers
% 4.92/1.52 Prover 6: Proving ...
% 4.92/1.54 Prover 3: Constructing countermodel ...
% 4.92/1.56 Prover 4: Warning: ignoring some quantifiers
% 5.88/1.59 Prover 4: Constructing countermodel ...
% 6.85/1.67 Prover 0: Proving ...
% 7.53/1.75 Prover 3: gave up
% 7.53/1.76 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 7.91/1.79 Prover 7: Preprocessing ...
% 8.80/1.91 Prover 7: Warning: ignoring some quantifiers
% 8.80/1.92 Prover 7: Constructing countermodel ...
% 9.05/1.94 Prover 1: gave up
% 9.05/1.94 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 9.05/1.97 Prover 8: Preprocessing ...
% 9.75/2.07 Prover 0: proved (1410ms)
% 9.75/2.07
% 9.75/2.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.75/2.07
% 9.75/2.07 Prover 5: stopped
% 9.75/2.07 Prover 2: stopped
% 9.75/2.08 Prover 6: stopped
% 9.75/2.09 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 9.75/2.09 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 9.75/2.09 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 9.75/2.09 Prover 8: Warning: ignoring some quantifiers
% 9.75/2.09 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 10.15/2.09 Prover 8: Constructing countermodel ...
% 10.15/2.10 Prover 10: Preprocessing ...
% 10.15/2.11 Prover 13: Preprocessing ...
% 10.15/2.11 Prover 16: Preprocessing ...
% 10.15/2.11 Prover 11: Preprocessing ...
% 10.15/2.17 Prover 10: Warning: ignoring some quantifiers
% 10.15/2.18 Prover 10: Constructing countermodel ...
% 10.15/2.18 Prover 7: Found proof (size 10)
% 10.15/2.18 Prover 7: proved (422ms)
% 10.15/2.18 Prover 8: stopped
% 10.15/2.18 Prover 4: stopped
% 10.15/2.19 Prover 10: stopped
% 10.15/2.20 Prover 16: Warning: ignoring some quantifiers
% 10.15/2.20 Prover 11: stopped
% 10.15/2.20 Prover 13: Warning: ignoring some quantifiers
% 10.15/2.20 Prover 16: Constructing countermodel ...
% 10.15/2.21 Prover 16: stopped
% 10.15/2.21 Prover 13: Constructing countermodel ...
% 10.15/2.21 Prover 13: stopped
% 10.15/2.22
% 10.15/2.22 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.15/2.22
% 10.15/2.22 % SZS output start Proof for theBenchmark
% 10.15/2.22 Assumptions after simplification:
% 10.15/2.22 ---------------------------------
% 10.15/2.22
% 10.15/2.22 (dt_k8_relat_1)
% 10.15/2.24 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0,
% 10.15/2.24 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | relation(v2))
% 10.15/2.25
% 10.15/2.25 (t117_relat_1)
% 10.15/2.25 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng_restriction(v0,
% 10.15/2.25 v1) = v2) | ~ $i(v1) | ~ $i(v0) | ~ relation(v1) | subset(v2, v1))
% 10.15/2.25
% 10.15/2.25 (t118_relat_1)
% 10.15/2.25 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 10.15/2.25 (relation_rng(v2) = v3 & relation_rng(v1) = v4 & relation_rng_restriction(v0,
% 10.15/2.25 v1) = v2 & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0) & relation(v1) & ~
% 10.15/2.25 subset(v3, v4))
% 10.15/2.25
% 10.15/2.25 (t25_relat_1)
% 10.15/2.26 ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ~
% 10.15/2.26 relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & $i(v2) & ! [v3: $i] :
% 10.15/2.26 ! [v4: $i] : ( ~ (relation_rng(v3) = v4) | ~ $i(v3) | ~ subset(v0, v3)
% 10.15/2.26 | ~ relation(v3) | subset(v1, v4)) & ! [v3: $i] : ! [v4: $i] : ( ~
% 10.15/2.26 (relation_rng(v3) = v4) | ~ $i(v3) | ~ subset(v0, v3) | ~
% 10.15/2.26 relation(v3) | ? [v5: $i] : (relation_dom(v3) = v5 & $i(v5) &
% 10.15/2.26 subset(v2, v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ (relation_dom(v3) =
% 10.15/2.26 v4) | ~ $i(v3) | ~ subset(v0, v3) | ~ relation(v3) | subset(v2,
% 10.15/2.26 v4)) & ! [v3: $i] : ! [v4: $i] : ( ~ (relation_dom(v3) = v4) | ~
% 10.15/2.26 $i(v3) | ~ subset(v0, v3) | ~ relation(v3) | ? [v5: $i] :
% 10.15/2.26 (relation_rng(v3) = v5 & $i(v5) & subset(v1, v5))))) & ! [v0: $i] : !
% 10.15/2.26 [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ~ relation(v0) | ? [v2:
% 10.15/2.26 $i] : (relation_rng(v0) = v2 & $i(v2) & ! [v3: $i] : ! [v4: $i] : ( ~
% 10.15/2.26 (relation_rng(v3) = v4) | ~ $i(v3) | ~ subset(v0, v3) | ~
% 10.15/2.26 relation(v3) | subset(v2, v4)) & ! [v3: $i] : ! [v4: $i] : ( ~
% 10.15/2.26 (relation_rng(v3) = v4) | ~ $i(v3) | ~ subset(v0, v3) | ~
% 10.15/2.26 relation(v3) | ? [v5: $i] : (relation_dom(v3) = v5 & $i(v5) &
% 10.15/2.26 subset(v1, v5))) & ! [v3: $i] : ! [v4: $i] : ( ~ (relation_dom(v3) =
% 10.15/2.26 v4) | ~ $i(v3) | ~ subset(v0, v3) | ~ relation(v3) | subset(v1,
% 10.15/2.26 v4)) & ! [v3: $i] : ! [v4: $i] : ( ~ (relation_dom(v3) = v4) | ~
% 10.15/2.26 $i(v3) | ~ subset(v0, v3) | ~ relation(v3) | ? [v5: $i] :
% 10.15/2.26 (relation_rng(v3) = v5 & $i(v5) & subset(v2, v5)))))
% 10.15/2.26
% 10.15/2.26 Further assumptions not needed in the proof:
% 10.15/2.26 --------------------------------------------
% 10.15/2.26 antisymmetry_r2_hidden, cc1_relat_1, dt_k1_relat_1, dt_k1_xboole_0,
% 10.15/2.26 dt_k1_zfmisc_1, dt_k2_relat_1, dt_m1_subset_1, existence_m1_subset_1,
% 10.15/2.26 fc1_subset_1, fc1_xboole_0, fc4_relat_1, fc5_relat_1, fc6_relat_1, fc7_relat_1,
% 10.15/2.26 fc8_relat_1, rc1_relat_1, rc1_subset_1, rc1_xboole_0, rc2_relat_1, rc2_subset_1,
% 10.15/2.26 rc2_xboole_0, reflexivity_r1_tarski, t1_subset, t2_subset, t3_subset, t4_subset,
% 10.15/2.26 t5_subset, t6_boole, t7_boole, t8_boole
% 10.15/2.26
% 10.15/2.26 Those formulas are unsatisfiable:
% 10.15/2.26 ---------------------------------
% 10.15/2.26
% 10.15/2.26 Begin of proof
% 10.89/2.26 |
% 10.89/2.26 | ALPHA: (t25_relat_1) implies:
% 10.89/2.27 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) |
% 10.89/2.27 | ~ relation(v0) | ? [v2: $i] : (relation_dom(v0) = v2 & $i(v2) & !
% 10.89/2.27 | [v3: $i] : ! [v4: $i] : ( ~ (relation_rng(v3) = v4) | ~ $i(v3) |
% 10.89/2.27 | ~ subset(v0, v3) | ~ relation(v3) | subset(v1, v4)) & ! [v3:
% 10.89/2.27 | $i] : ! [v4: $i] : ( ~ (relation_rng(v3) = v4) | ~ $i(v3) | ~
% 10.89/2.27 | subset(v0, v3) | ~ relation(v3) | ? [v5: $i] :
% 10.89/2.27 | (relation_dom(v3) = v5 & $i(v5) & subset(v2, v5))) & ! [v3: $i]
% 10.89/2.27 | : ! [v4: $i] : ( ~ (relation_dom(v3) = v4) | ~ $i(v3) | ~
% 10.89/2.27 | subset(v0, v3) | ~ relation(v3) | subset(v2, v4)) & ! [v3: $i]
% 10.89/2.27 | : ! [v4: $i] : ( ~ (relation_dom(v3) = v4) | ~ $i(v3) | ~
% 10.89/2.27 | subset(v0, v3) | ~ relation(v3) | ? [v5: $i] :
% 10.89/2.27 | (relation_rng(v3) = v5 & $i(v5) & subset(v1, v5)))))
% 10.89/2.27 |
% 10.89/2.27 | DELTA: instantiating (t118_relat_1) with fresh symbols all_34_0, all_34_1,
% 10.89/2.27 | all_34_2, all_34_3, all_34_4 gives:
% 10.89/2.27 | (2) relation_rng(all_34_2) = all_34_1 & relation_rng(all_34_3) = all_34_0 &
% 10.89/2.27 | relation_rng_restriction(all_34_4, all_34_3) = all_34_2 & $i(all_34_0)
% 10.89/2.27 | & $i(all_34_1) & $i(all_34_2) & $i(all_34_3) & $i(all_34_4) &
% 10.89/2.27 | relation(all_34_3) & ~ subset(all_34_1, all_34_0)
% 10.89/2.27 |
% 10.89/2.27 | ALPHA: (2) implies:
% 10.89/2.27 | (3) ~ subset(all_34_1, all_34_0)
% 10.89/2.27 | (4) relation(all_34_3)
% 10.89/2.27 | (5) $i(all_34_4)
% 10.89/2.27 | (6) $i(all_34_3)
% 10.89/2.27 | (7) $i(all_34_2)
% 11.35/2.28 | (8) relation_rng_restriction(all_34_4, all_34_3) = all_34_2
% 11.35/2.28 | (9) relation_rng(all_34_3) = all_34_0
% 11.35/2.28 | (10) relation_rng(all_34_2) = all_34_1
% 11.35/2.28 |
% 11.35/2.28 | GROUND_INST: instantiating (t117_relat_1) with all_34_4, all_34_3, all_34_2,
% 11.35/2.28 | simplifying with (4), (5), (6), (8) gives:
% 11.35/2.28 | (11) subset(all_34_2, all_34_3)
% 11.35/2.28 |
% 11.35/2.28 | GROUND_INST: instantiating (dt_k8_relat_1) with all_34_4, all_34_3, all_34_2,
% 11.35/2.28 | simplifying with (4), (5), (6), (8) gives:
% 11.35/2.28 | (12) relation(all_34_2)
% 11.35/2.28 |
% 11.35/2.28 | GROUND_INST: instantiating (1) with all_34_2, all_34_1, simplifying with (7),
% 11.35/2.28 | (10), (12) gives:
% 11.35/2.28 | (13) ? [v0: $i] : (relation_dom(all_34_2) = v0 & $i(v0) & ! [v1: $i] : !
% 11.35/2.28 | [v2: $i] : ( ~ (relation_rng(v1) = v2) | ~ $i(v1) | ~
% 11.35/2.28 | subset(all_34_2, v1) | ~ relation(v1) | subset(all_34_1, v2)) &
% 11.35/2.28 | ! [v1: $i] : ! [v2: $i] : ( ~ (relation_rng(v1) = v2) | ~ $i(v1) |
% 11.35/2.28 | ~ subset(all_34_2, v1) | ~ relation(v1) | ? [v3: $i] :
% 11.35/2.28 | (relation_dom(v1) = v3 & $i(v3) & subset(v0, v3))) & ! [v1: $i] :
% 11.35/2.28 | ! [v2: $i] : ( ~ (relation_dom(v1) = v2) | ~ $i(v1) | ~
% 11.35/2.28 | subset(all_34_2, v1) | ~ relation(v1) | subset(v0, v2)) & ! [v1:
% 11.35/2.28 | $i] : ! [v2: $i] : ( ~ (relation_dom(v1) = v2) | ~ $i(v1) | ~
% 11.35/2.28 | subset(all_34_2, v1) | ~ relation(v1) | ? [v3: $i] :
% 11.35/2.28 | (relation_rng(v1) = v3 & $i(v3) & subset(all_34_1, v3))))
% 11.35/2.28 |
% 11.35/2.28 | DELTA: instantiating (13) with fresh symbol all_57_0 gives:
% 11.35/2.28 | (14) relation_dom(all_34_2) = all_57_0 & $i(all_57_0) & ! [v0: $i] : !
% 11.35/2.28 | [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ~
% 11.35/2.28 | subset(all_34_2, v0) | ~ relation(v0) | subset(all_34_1, v1)) & !
% 11.35/2.28 | [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) | ~
% 11.35/2.28 | subset(all_34_2, v0) | ~ relation(v0) | ? [v2: $i] :
% 11.35/2.28 | (relation_dom(v0) = v2 & $i(v2) & subset(all_57_0, v2))) & ! [v0:
% 11.35/2.28 | $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ~
% 11.35/2.28 | subset(all_34_2, v0) | ~ relation(v0) | subset(all_57_0, v1)) & !
% 11.35/2.28 | [v0: $i] : ! [v1: $i] : ( ~ (relation_dom(v0) = v1) | ~ $i(v0) | ~
% 11.35/2.28 | subset(all_34_2, v0) | ~ relation(v0) | ? [v2: $i] :
% 11.35/2.28 | (relation_rng(v0) = v2 & $i(v2) & subset(all_34_1, v2)))
% 11.35/2.28 |
% 11.35/2.28 | ALPHA: (14) implies:
% 11.35/2.29 | (15) ! [v0: $i] : ! [v1: $i] : ( ~ (relation_rng(v0) = v1) | ~ $i(v0) |
% 11.35/2.29 | ~ subset(all_34_2, v0) | ~ relation(v0) | subset(all_34_1, v1))
% 11.35/2.29 |
% 11.35/2.29 | GROUND_INST: instantiating (15) with all_34_3, all_34_0, simplifying with (3),
% 11.35/2.29 | (4), (6), (9), (11) gives:
% 11.35/2.29 | (16) $false
% 11.35/2.29 |
% 11.35/2.29 | CLOSE: (16) is inconsistent.
% 11.35/2.29 |
% 11.35/2.29 End of proof
% 11.35/2.29 % SZS output end Proof for theBenchmark
% 11.35/2.29
% 11.35/2.29 1651ms
%------------------------------------------------------------------------------