TSTP Solution File: SET589+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n023.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 15:25:26 EDT 2023
% Result : Theorem 4.78s 1.37s
% Output : Proof 6.23s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET589+3 : TPTP v8.1.2. Released v2.2.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n023.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 : Sat Aug 26 12:35:56 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.63/0.61 ________ _____
% 0.63/0.61 ___ __ \_________(_)________________________________
% 0.63/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.63/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.63/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.63/0.61
% 0.63/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.63/0.61 (2023-06-19)
% 0.63/0.61
% 0.63/0.61 (c) Philipp Rümmer, 2009-2023
% 0.63/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.63/0.61 Amanda Stjerna.
% 0.63/0.61 Free software under BSD-3-Clause.
% 0.63/0.61
% 0.63/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.63/0.61
% 0.63/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.62 Running up to 7 provers in parallel.
% 0.73/0.64 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.73/0.64 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.73/0.64 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.73/0.64 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.73/0.64 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.73/0.64 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.73/0.64 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.03/0.96 Prover 1: Preprocessing ...
% 2.03/0.96 Prover 4: Preprocessing ...
% 2.03/1.00 Prover 6: Preprocessing ...
% 2.03/1.00 Prover 3: Preprocessing ...
% 2.03/1.00 Prover 0: Preprocessing ...
% 2.03/1.00 Prover 2: Preprocessing ...
% 2.03/1.01 Prover 5: Preprocessing ...
% 3.62/1.20 Prover 6: Proving ...
% 3.62/1.20 Prover 5: Proving ...
% 3.81/1.20 Prover 3: Constructing countermodel ...
% 3.81/1.20 Prover 0: Proving ...
% 3.81/1.20 Prover 1: Constructing countermodel ...
% 3.81/1.20 Prover 2: Proving ...
% 3.81/1.20 Prover 4: Constructing countermodel ...
% 4.78/1.37 Prover 0: proved (739ms)
% 4.78/1.37
% 4.78/1.37 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.78/1.37
% 4.78/1.38 Prover 3: stopped
% 4.78/1.38 Prover 6: stopped
% 4.78/1.38 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 4.78/1.38 Prover 5: stopped
% 4.78/1.38 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 4.78/1.38 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 4.78/1.38 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 4.78/1.38 Prover 2: stopped
% 4.78/1.38 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 5.24/1.40 Prover 7: Preprocessing ...
% 5.24/1.41 Prover 13: Preprocessing ...
% 5.24/1.41 Prover 8: Preprocessing ...
% 5.24/1.41 Prover 10: Preprocessing ...
% 5.24/1.41 Prover 11: Preprocessing ...
% 5.24/1.44 Prover 1: Found proof (size 32)
% 5.24/1.46 Prover 1: proved (814ms)
% 5.24/1.46 Prover 10: Warning: ignoring some quantifiers
% 5.24/1.46 Prover 7: Warning: ignoring some quantifiers
% 5.24/1.46 Prover 4: Found proof (size 37)
% 5.24/1.46 Prover 4: proved (824ms)
% 5.24/1.46 Prover 7: Constructing countermodel ...
% 5.24/1.46 Prover 7: stopped
% 5.71/1.46 Prover 13: Warning: ignoring some quantifiers
% 5.71/1.47 Prover 10: Constructing countermodel ...
% 5.71/1.47 Prover 10: stopped
% 5.71/1.47 Prover 13: Constructing countermodel ...
% 5.71/1.47 Prover 8: Warning: ignoring some quantifiers
% 5.71/1.48 Prover 13: stopped
% 5.71/1.48 Prover 8: Constructing countermodel ...
% 5.71/1.48 Prover 11: Constructing countermodel ...
% 5.71/1.48 Prover 8: stopped
% 5.71/1.48 Prover 11: stopped
% 5.71/1.48
% 5.71/1.48 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.71/1.48
% 5.71/1.49 % SZS output start Proof for theBenchmark
% 5.71/1.49 Assumptions after simplification:
% 5.71/1.49 ---------------------------------
% 5.71/1.49
% 5.71/1.50 (difference_defn)
% 5.71/1.52 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] : (v4 = 0
% 5.71/1.52 | ~ (member(v2, v3) = v4) | ~ (difference(v0, v1) = v3) | ~ $i(v2) | ~
% 5.71/1.52 $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] : (member(v2, v1) = v6 &
% 5.71/1.52 member(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0))) & ! [v0: $i] : ! [v1: $i]
% 5.71/1.52 : ! [v2: $i] : ! [v3: $i] : ( ~ (member(v2, v3) = 0) | ~ (difference(v0,
% 5.71/1.52 v1) = v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v4: int] : ( ~ (v4 =
% 5.71/1.52 0) & member(v2, v1) = v4 & member(v2, v0) = 0))
% 5.71/1.52
% 5.71/1.52 (prove_th48)
% 5.71/1.53 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ? [v5:
% 5.71/1.53 $i] : ? [v6: int] : ( ~ (v6 = 0) & difference(v1, v2) = v5 & difference(v0,
% 5.71/1.53 v3) = v4 & subset(v4, v5) = v6 & subset(v2, v3) = 0 & subset(v0, v1) = 0 &
% 5.71/1.53 $i(v5) & $i(v4) & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 5.71/1.53
% 5.71/1.53 (subset_defn)
% 5.71/1.53 ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1) = v2)
% 5.71/1.53 | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~ (v4 = 0) &
% 5.71/1.53 member(v3, v1) = v4 & member(v3, v0) = 0 & $i(v3))) & ! [v0: $i] : !
% 5.71/1.53 [v1: $i] : ( ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~ $i(v0) | ! [v2: $i] : (
% 5.71/1.53 ~ (member(v2, v0) = 0) | ~ $i(v2) | member(v2, v1) = 0))
% 5.71/1.53
% 5.71/1.53 (function-axioms)
% 5.71/1.53 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 5.71/1.53 [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) &
% 5.71/1.53 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 5.71/1.53 (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0:
% 5.71/1.53 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 5.71/1.53 : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 5.71/1.53
% 5.71/1.53 Further assumptions not needed in the proof:
% 5.71/1.53 --------------------------------------------
% 5.71/1.53 difference_subset1, difference_subset2, reflexivity_of_subset,
% 5.71/1.53 transitivity_of_subset
% 5.71/1.53
% 5.71/1.53 Those formulas are unsatisfiable:
% 5.71/1.53 ---------------------------------
% 5.71/1.53
% 5.71/1.53 Begin of proof
% 5.71/1.53 |
% 5.71/1.53 | ALPHA: (difference_defn) implies:
% 5.71/1.54 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (member(v2,
% 5.71/1.54 | v3) = 0) | ~ (difference(v0, v1) = v3) | ~ $i(v2) | ~ $i(v1) |
% 5.71/1.54 | ~ $i(v0) | ? [v4: int] : ( ~ (v4 = 0) & member(v2, v1) = v4 &
% 5.71/1.54 | member(v2, v0) = 0))
% 5.71/1.54 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: int] :
% 5.71/1.54 | (v4 = 0 | ~ (member(v2, v3) = v4) | ~ (difference(v0, v1) = v3) | ~
% 5.71/1.54 | $i(v2) | ~ $i(v1) | ~ $i(v0) | ? [v5: any] : ? [v6: any] :
% 5.71/1.54 | (member(v2, v1) = v6 & member(v2, v0) = v5 & ( ~ (v5 = 0) | v6 = 0)))
% 5.71/1.54 |
% 5.71/1.54 | ALPHA: (subset_defn) implies:
% 5.71/1.54 | (3) ! [v0: $i] : ! [v1: $i] : ( ~ (subset(v0, v1) = 0) | ~ $i(v1) | ~
% 5.71/1.54 | $i(v0) | ! [v2: $i] : ( ~ (member(v2, v0) = 0) | ~ $i(v2) |
% 5.71/1.54 | member(v2, v1) = 0))
% 5.71/1.54 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: int] : (v2 = 0 | ~ (subset(v0, v1)
% 5.71/1.54 | = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: int] : ( ~
% 5.71/1.54 | (v4 = 0) & member(v3, v1) = v4 & member(v3, v0) = 0 & $i(v3)))
% 5.71/1.54 |
% 5.71/1.54 | ALPHA: (function-axioms) implies:
% 5.71/1.54 | (5) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 5.71/1.54 | ! [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2)
% 5.71/1.54 | = v0))
% 5.71/1.54 |
% 5.71/1.54 | DELTA: instantiating (prove_th48) with fresh symbols all_9_0, all_9_1,
% 5.71/1.54 | all_9_2, all_9_3, all_9_4, all_9_5, all_9_6 gives:
% 5.71/1.55 | (6) ~ (all_9_0 = 0) & difference(all_9_5, all_9_4) = all_9_1 &
% 5.71/1.55 | difference(all_9_6, all_9_3) = all_9_2 & subset(all_9_2, all_9_1) =
% 5.71/1.55 | all_9_0 & subset(all_9_4, all_9_3) = 0 & subset(all_9_6, all_9_5) = 0 &
% 5.71/1.55 | $i(all_9_1) & $i(all_9_2) & $i(all_9_3) & $i(all_9_4) & $i(all_9_5) &
% 5.71/1.55 | $i(all_9_6)
% 5.71/1.55 |
% 5.71/1.55 | ALPHA: (6) implies:
% 5.71/1.55 | (7) ~ (all_9_0 = 0)
% 5.71/1.55 | (8) $i(all_9_6)
% 5.71/1.55 | (9) $i(all_9_5)
% 5.71/1.55 | (10) $i(all_9_4)
% 5.71/1.55 | (11) $i(all_9_3)
% 5.71/1.55 | (12) $i(all_9_2)
% 5.71/1.55 | (13) $i(all_9_1)
% 5.71/1.55 | (14) subset(all_9_6, all_9_5) = 0
% 5.71/1.55 | (15) subset(all_9_4, all_9_3) = 0
% 5.71/1.55 | (16) subset(all_9_2, all_9_1) = all_9_0
% 5.71/1.55 | (17) difference(all_9_6, all_9_3) = all_9_2
% 5.71/1.55 | (18) difference(all_9_5, all_9_4) = all_9_1
% 5.71/1.55 |
% 5.71/1.55 | GROUND_INST: instantiating (3) with all_9_6, all_9_5, simplifying with (8),
% 5.71/1.55 | (9), (14) gives:
% 5.71/1.55 | (19) ! [v0: $i] : ( ~ (member(v0, all_9_6) = 0) | ~ $i(v0) | member(v0,
% 5.71/1.55 | all_9_5) = 0)
% 5.71/1.55 |
% 5.71/1.55 | GROUND_INST: instantiating (3) with all_9_4, all_9_3, simplifying with (10),
% 5.71/1.55 | (11), (15) gives:
% 5.71/1.55 | (20) ! [v0: $i] : ( ~ (member(v0, all_9_4) = 0) | ~ $i(v0) | member(v0,
% 5.71/1.55 | all_9_3) = 0)
% 5.71/1.55 |
% 5.71/1.55 | GROUND_INST: instantiating (4) with all_9_2, all_9_1, all_9_0, simplifying
% 5.71/1.55 | with (12), (13), (16) gives:
% 5.71/1.55 | (21) all_9_0 = 0 | ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & member(v0,
% 5.71/1.55 | all_9_1) = v1 & member(v0, all_9_2) = 0 & $i(v0))
% 5.71/1.55 |
% 5.71/1.55 | BETA: splitting (21) gives:
% 5.71/1.55 |
% 5.71/1.55 | Case 1:
% 5.71/1.55 | |
% 5.71/1.55 | | (22) all_9_0 = 0
% 5.71/1.55 | |
% 5.71/1.55 | | REDUCE: (7), (22) imply:
% 5.71/1.55 | | (23) $false
% 5.71/1.56 | |
% 5.71/1.56 | | CLOSE: (23) is inconsistent.
% 5.71/1.56 | |
% 5.71/1.56 | Case 2:
% 5.71/1.56 | |
% 5.71/1.56 | | (24) ? [v0: $i] : ? [v1: int] : ( ~ (v1 = 0) & member(v0, all_9_1) = v1
% 5.71/1.56 | | & member(v0, all_9_2) = 0 & $i(v0))
% 5.71/1.56 | |
% 5.71/1.56 | | DELTA: instantiating (24) with fresh symbols all_21_0, all_21_1 gives:
% 5.71/1.56 | | (25) ~ (all_21_0 = 0) & member(all_21_1, all_9_1) = all_21_0 &
% 5.71/1.56 | | member(all_21_1, all_9_2) = 0 & $i(all_21_1)
% 5.71/1.56 | |
% 5.71/1.56 | | ALPHA: (25) implies:
% 5.71/1.56 | | (26) ~ (all_21_0 = 0)
% 5.71/1.56 | | (27) $i(all_21_1)
% 5.71/1.56 | | (28) member(all_21_1, all_9_2) = 0
% 5.71/1.56 | | (29) member(all_21_1, all_9_1) = all_21_0
% 5.71/1.56 | |
% 5.71/1.56 | | GROUND_INST: instantiating (1) with all_9_6, all_9_3, all_21_1, all_9_2,
% 5.71/1.56 | | simplifying with (8), (11), (17), (27), (28) gives:
% 5.71/1.56 | | (30) ? [v0: int] : ( ~ (v0 = 0) & member(all_21_1, all_9_3) = v0 &
% 5.71/1.56 | | member(all_21_1, all_9_6) = 0)
% 5.71/1.56 | |
% 5.71/1.56 | | GROUND_INST: instantiating (2) with all_9_5, all_9_4, all_21_1, all_9_1,
% 5.71/1.56 | | all_21_0, simplifying with (9), (10), (18), (27), (29) gives:
% 5.71/1.56 | | (31) all_21_0 = 0 | ? [v0: any] : ? [v1: any] : (member(all_21_1,
% 5.71/1.56 | | all_9_4) = v1 & member(all_21_1, all_9_5) = v0 & ( ~ (v0 = 0) |
% 5.71/1.56 | | v1 = 0))
% 5.71/1.56 | |
% 5.71/1.56 | | DELTA: instantiating (30) with fresh symbol all_28_0 gives:
% 5.71/1.56 | | (32) ~ (all_28_0 = 0) & member(all_21_1, all_9_3) = all_28_0 &
% 5.71/1.56 | | member(all_21_1, all_9_6) = 0
% 5.71/1.56 | |
% 5.71/1.56 | | ALPHA: (32) implies:
% 6.23/1.56 | | (33) ~ (all_28_0 = 0)
% 6.23/1.56 | | (34) member(all_21_1, all_9_6) = 0
% 6.23/1.56 | | (35) member(all_21_1, all_9_3) = all_28_0
% 6.23/1.56 | |
% 6.23/1.56 | | BETA: splitting (31) gives:
% 6.23/1.56 | |
% 6.23/1.56 | | Case 1:
% 6.23/1.56 | | |
% 6.23/1.56 | | | (36) all_21_0 = 0
% 6.23/1.56 | | |
% 6.23/1.56 | | | REDUCE: (26), (36) imply:
% 6.23/1.56 | | | (37) $false
% 6.23/1.56 | | |
% 6.23/1.56 | | | CLOSE: (37) is inconsistent.
% 6.23/1.56 | | |
% 6.23/1.56 | | Case 2:
% 6.23/1.56 | | |
% 6.23/1.56 | | | (38) ? [v0: any] : ? [v1: any] : (member(all_21_1, all_9_4) = v1 &
% 6.23/1.56 | | | member(all_21_1, all_9_5) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 6.23/1.56 | | |
% 6.23/1.56 | | | DELTA: instantiating (38) with fresh symbols all_34_0, all_34_1 gives:
% 6.23/1.56 | | | (39) member(all_21_1, all_9_4) = all_34_0 & member(all_21_1, all_9_5) =
% 6.23/1.56 | | | all_34_1 & ( ~ (all_34_1 = 0) | all_34_0 = 0)
% 6.23/1.56 | | |
% 6.23/1.56 | | | ALPHA: (39) implies:
% 6.23/1.56 | | | (40) member(all_21_1, all_9_5) = all_34_1
% 6.23/1.56 | | | (41) member(all_21_1, all_9_4) = all_34_0
% 6.23/1.57 | | | (42) ~ (all_34_1 = 0) | all_34_0 = 0
% 6.23/1.57 | | |
% 6.23/1.57 | | | GROUND_INST: instantiating (19) with all_21_1, simplifying with (27), (34)
% 6.23/1.57 | | | gives:
% 6.23/1.57 | | | (43) member(all_21_1, all_9_5) = 0
% 6.23/1.57 | | |
% 6.23/1.57 | | | GROUND_INST: instantiating (5) with all_34_1, 0, all_9_5, all_21_1,
% 6.23/1.57 | | | simplifying with (40), (43) gives:
% 6.23/1.57 | | | (44) all_34_1 = 0
% 6.23/1.57 | | |
% 6.23/1.57 | | | BETA: splitting (42) gives:
% 6.23/1.57 | | |
% 6.23/1.57 | | | Case 1:
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | (45) ~ (all_34_1 = 0)
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | REDUCE: (44), (45) imply:
% 6.23/1.57 | | | | (46) $false
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | CLOSE: (46) is inconsistent.
% 6.23/1.57 | | | |
% 6.23/1.57 | | | Case 2:
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | (47) all_34_0 = 0
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | REDUCE: (41), (47) imply:
% 6.23/1.57 | | | | (48) member(all_21_1, all_9_4) = 0
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | GROUND_INST: instantiating (20) with all_21_1, simplifying with (27),
% 6.23/1.57 | | | | (48) gives:
% 6.23/1.57 | | | | (49) member(all_21_1, all_9_3) = 0
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | GROUND_INST: instantiating (5) with all_28_0, 0, all_9_3, all_21_1,
% 6.23/1.57 | | | | simplifying with (35), (49) gives:
% 6.23/1.57 | | | | (50) all_28_0 = 0
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | REDUCE: (33), (50) imply:
% 6.23/1.57 | | | | (51) $false
% 6.23/1.57 | | | |
% 6.23/1.57 | | | | CLOSE: (51) is inconsistent.
% 6.23/1.57 | | | |
% 6.23/1.57 | | | End of split
% 6.23/1.57 | | |
% 6.23/1.57 | | End of split
% 6.23/1.57 | |
% 6.23/1.57 | End of split
% 6.23/1.57 |
% 6.23/1.57 End of proof
% 6.23/1.57 % SZS output end Proof for theBenchmark
% 6.23/1.57
% 6.23/1.57 960ms
%------------------------------------------------------------------------------