TSTP Solution File: SET599+3 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SET599+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 : n002.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 15:25:31 EDT 2023
% Result : Theorem 6.14s 1.63s
% Output : Proof 8.26s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.11 % Problem : SET599+3 : TPTP v8.1.2. Released v2.2.0.
% 0.05/0.11 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.11/0.31 % Computer : n002.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Sat Aug 26 14:16:18 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.16/0.59 ________ _____
% 0.16/0.59 ___ __ \_________(_)________________________________
% 0.16/0.59 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.16/0.59 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.16/0.59 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.16/0.59
% 0.16/0.59 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.16/0.59 (2023-06-19)
% 0.16/0.59
% 0.16/0.59 (c) Philipp Rümmer, 2009-2023
% 0.16/0.59 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.16/0.59 Amanda Stjerna.
% 0.16/0.59 Free software under BSD-3-Clause.
% 0.16/0.59
% 0.16/0.59 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.16/0.59
% 0.16/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.16/0.61 Running up to 7 provers in parallel.
% 0.16/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.16/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.16/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.16/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.16/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.16/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.16/0.62 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.02/1.04 Prover 4: Preprocessing ...
% 2.02/1.05 Prover 1: Preprocessing ...
% 2.46/1.10 Prover 3: Preprocessing ...
% 2.46/1.10 Prover 0: Preprocessing ...
% 2.46/1.10 Prover 5: Preprocessing ...
% 2.46/1.10 Prover 2: Preprocessing ...
% 2.46/1.10 Prover 6: Preprocessing ...
% 4.63/1.43 Prover 6: Proving ...
% 4.63/1.43 Prover 5: Proving ...
% 4.63/1.43 Prover 3: Warning: ignoring some quantifiers
% 4.63/1.44 Prover 1: Warning: ignoring some quantifiers
% 4.63/1.44 Prover 4: Warning: ignoring some quantifiers
% 4.63/1.44 Prover 0: Proving ...
% 4.63/1.45 Prover 3: Constructing countermodel ...
% 4.63/1.45 Prover 1: Constructing countermodel ...
% 4.63/1.46 Prover 4: Constructing countermodel ...
% 4.63/1.48 Prover 2: Proving ...
% 6.14/1.63 Prover 5: proved (1010ms)
% 6.14/1.63
% 6.14/1.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 6.14/1.63
% 6.14/1.63 Prover 0: stopped
% 6.14/1.64 Prover 6: stopped
% 6.14/1.64 Prover 3: stopped
% 6.14/1.64 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.14/1.64 Prover 2: stopped
% 6.14/1.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.14/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.14/1.66 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.14/1.66 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.14/1.66 Prover 8: Preprocessing ...
% 6.14/1.66 Prover 7: Preprocessing ...
% 6.14/1.68 Prover 10: Preprocessing ...
% 6.14/1.69 Prover 11: Preprocessing ...
% 6.14/1.70 Prover 1: gave up
% 6.14/1.70 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 6.14/1.71 Prover 13: Preprocessing ...
% 6.78/1.72 Prover 16: Preprocessing ...
% 6.78/1.76 Prover 10: Warning: ignoring some quantifiers
% 6.78/1.77 Prover 7: Warning: ignoring some quantifiers
% 6.78/1.77 Prover 10: Constructing countermodel ...
% 6.78/1.77 Prover 16: Warning: ignoring some quantifiers
% 6.78/1.78 Prover 7: Constructing countermodel ...
% 6.78/1.78 Prover 16: Constructing countermodel ...
% 7.36/1.79 Prover 8: Warning: ignoring some quantifiers
% 7.36/1.80 Prover 13: Warning: ignoring some quantifiers
% 7.36/1.81 Prover 8: Constructing countermodel ...
% 7.36/1.81 Prover 13: Constructing countermodel ...
% 7.36/1.83 Prover 4: Found proof (size 27)
% 7.36/1.83 Prover 4: proved (1213ms)
% 7.36/1.83 Prover 10: stopped
% 7.36/1.83 Prover 13: stopped
% 7.36/1.83 Prover 8: stopped
% 7.36/1.83 Prover 16: stopped
% 7.36/1.83 Prover 7: stopped
% 7.36/1.84 Prover 11: Warning: ignoring some quantifiers
% 7.36/1.85 Prover 11: Constructing countermodel ...
% 7.36/1.86 Prover 11: stopped
% 7.36/1.86
% 7.36/1.86 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 7.36/1.86
% 7.87/1.87 % SZS output start Proof for theBenchmark
% 7.87/1.88 Assumptions after simplification:
% 7.87/1.88 ---------------------------------
% 7.87/1.88
% 7.87/1.88 (prove_th58)
% 7.87/1.92 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: int] : ( ~ (v4
% 7.87/1.92 = 0) & subset(v2, v3) = v4 & symmetric_difference(v0, v1) = v3 &
% 7.87/1.92 difference(v0, v1) = v2 & $i(v3) & $i(v2) & $i(v1) & $i(v0))
% 7.87/1.92
% 7.87/1.92 (subset_of_union)
% 7.87/1.92 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (union(v0, v1) = v2) | ~ $i(v1)
% 7.87/1.92 | ~ $i(v0) | subset(v0, v2) = 0)
% 7.87/1.92
% 7.87/1.92 (symmetric_difference_defn)
% 7.87/1.93 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (symmetric_difference(v0, v1) =
% 7.87/1.93 v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (difference(v1,
% 7.87/1.93 v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) = v2 & $i(v4) &
% 7.87/1.93 $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 7.87/1.93 (difference(v1, v0) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4:
% 7.87/1.93 $i] : (symmetric_difference(v0, v1) = v3 & difference(v0, v1) = v4 &
% 7.87/1.93 union(v4, v2) = v3 & $i(v4) & $i(v3))) & ! [v0: $i] : ! [v1: $i] : !
% 7.87/1.93 [v2: $i] : ( ~ (difference(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i]
% 7.87/1.93 : ? [v4: $i] : (symmetric_difference(v0, v1) = v3 & difference(v1, v0) = v4
% 7.87/1.93 & union(v2, v4) = v3 & $i(v4) & $i(v3)))
% 7.87/1.94
% 7.87/1.94 (function-axioms)
% 7.87/1.94 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 7.87/1.94 [v3: $i] : (v1 = v0 | ~ (member(v3, v2) = v1) | ~ (member(v3, v2) = v0)) &
% 7.87/1.94 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 7.87/1.94 $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & !
% 7.87/1.94 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.87/1.94 (symmetric_difference(v3, v2) = v1) | ~ (symmetric_difference(v3, v2) =
% 7.87/1.94 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 7.87/1.94 ~ (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0)) & ! [v0: $i] :
% 7.87/1.94 ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (union(v3, v2) = v1) |
% 7.87/1.94 ~ (union(v3, v2) = v0))
% 7.87/1.94
% 7.87/1.94 Further assumptions not needed in the proof:
% 7.87/1.94 --------------------------------------------
% 7.87/1.95 commutativity_of_symmetric_difference, commutativity_of_union, difference_defn,
% 7.87/1.95 equal_member_defn, reflexivity_of_subset, subset_defn
% 7.87/1.95
% 7.87/1.95 Those formulas are unsatisfiable:
% 7.87/1.95 ---------------------------------
% 7.87/1.95
% 7.87/1.95 Begin of proof
% 7.87/1.95 |
% 7.87/1.95 | ALPHA: (symmetric_difference_defn) implies:
% 7.87/1.95 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v0, v1) = v2)
% 7.87/1.95 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 7.87/1.95 | (symmetric_difference(v0, v1) = v3 & difference(v1, v0) = v4 &
% 7.87/1.95 | union(v2, v4) = v3 & $i(v4) & $i(v3)))
% 7.87/1.96 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (difference(v1, v0) = v2)
% 7.87/1.96 | | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 7.87/1.96 | (symmetric_difference(v0, v1) = v3 & difference(v0, v1) = v4 &
% 7.87/1.96 | union(v4, v2) = v3 & $i(v4) & $i(v3)))
% 7.87/1.96 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (symmetric_difference(v0,
% 7.87/1.96 | v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 7.87/1.96 | (difference(v1, v0) = v4 & difference(v0, v1) = v3 & union(v3, v4) =
% 7.87/1.96 | v2 & $i(v4) & $i(v3) & $i(v2)))
% 7.87/1.96 |
% 7.87/1.96 | ALPHA: (function-axioms) implies:
% 7.87/1.96 | (4) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.87/1.96 | (difference(v3, v2) = v1) | ~ (difference(v3, v2) = v0))
% 7.87/1.96 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 7.87/1.96 | (symmetric_difference(v3, v2) = v1) | ~ (symmetric_difference(v3,
% 7.87/1.97 | v2) = v0))
% 7.87/1.97 | (6) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 7.87/1.97 | ! [v3: $i] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2)
% 7.87/1.97 | = v0))
% 7.87/1.97 |
% 7.87/1.97 | DELTA: instantiating (prove_th58) with fresh symbols all_10_0, all_10_1,
% 7.87/1.97 | all_10_2, all_10_3, all_10_4 gives:
% 7.87/1.97 | (7) ~ (all_10_0 = 0) & subset(all_10_2, all_10_1) = all_10_0 &
% 7.87/1.97 | symmetric_difference(all_10_4, all_10_3) = all_10_1 &
% 7.87/1.97 | difference(all_10_4, all_10_3) = all_10_2 & $i(all_10_1) & $i(all_10_2)
% 7.87/1.97 | & $i(all_10_3) & $i(all_10_4)
% 7.87/1.97 |
% 7.87/1.97 | ALPHA: (7) implies:
% 7.87/1.97 | (8) ~ (all_10_0 = 0)
% 7.87/1.97 | (9) $i(all_10_4)
% 7.87/1.97 | (10) $i(all_10_3)
% 7.87/1.97 | (11) difference(all_10_4, all_10_3) = all_10_2
% 7.87/1.97 | (12) symmetric_difference(all_10_4, all_10_3) = all_10_1
% 7.87/1.97 | (13) subset(all_10_2, all_10_1) = all_10_0
% 7.87/1.97 |
% 8.26/1.97 | GROUND_INST: instantiating (2) with all_10_3, all_10_4, all_10_2, simplifying
% 8.26/1.97 | with (9), (10), (11) gives:
% 8.26/1.98 | (14) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_10_3, all_10_4)
% 8.26/1.98 | = v0 & difference(all_10_3, all_10_4) = v1 & union(v1, all_10_2) =
% 8.26/1.98 | v0 & $i(v1) & $i(v0))
% 8.26/1.98 |
% 8.26/1.98 | GROUND_INST: instantiating (1) with all_10_4, all_10_3, all_10_2, simplifying
% 8.26/1.98 | with (9), (10), (11) gives:
% 8.26/1.98 | (15) ? [v0: $i] : ? [v1: $i] : (symmetric_difference(all_10_4, all_10_3)
% 8.26/1.98 | = v0 & difference(all_10_3, all_10_4) = v1 & union(all_10_2, v1) =
% 8.26/1.98 | v0 & $i(v1) & $i(v0))
% 8.26/1.98 |
% 8.26/1.98 | GROUND_INST: instantiating (3) with all_10_4, all_10_3, all_10_1, simplifying
% 8.26/1.98 | with (9), (10), (12) gives:
% 8.26/1.98 | (16) ? [v0: $i] : ? [v1: $i] : (difference(all_10_3, all_10_4) = v1 &
% 8.26/1.98 | difference(all_10_4, all_10_3) = v0 & union(v0, v1) = all_10_1 &
% 8.26/1.98 | $i(v1) & $i(v0) & $i(all_10_1))
% 8.26/1.98 |
% 8.26/1.98 | DELTA: instantiating (15) with fresh symbols all_19_0, all_19_1 gives:
% 8.26/1.98 | (17) symmetric_difference(all_10_4, all_10_3) = all_19_1 &
% 8.26/1.98 | difference(all_10_3, all_10_4) = all_19_0 & union(all_10_2, all_19_0)
% 8.26/1.98 | = all_19_1 & $i(all_19_0) & $i(all_19_1)
% 8.26/1.98 |
% 8.26/1.98 | ALPHA: (17) implies:
% 8.26/1.98 | (18) union(all_10_2, all_19_0) = all_19_1
% 8.26/1.98 | (19) difference(all_10_3, all_10_4) = all_19_0
% 8.26/1.98 | (20) symmetric_difference(all_10_4, all_10_3) = all_19_1
% 8.26/1.98 |
% 8.26/1.98 | DELTA: instantiating (14) with fresh symbols all_21_0, all_21_1 gives:
% 8.26/1.99 | (21) symmetric_difference(all_10_3, all_10_4) = all_21_1 &
% 8.26/1.99 | difference(all_10_3, all_10_4) = all_21_0 & union(all_21_0, all_10_2)
% 8.26/1.99 | = all_21_1 & $i(all_21_0) & $i(all_21_1)
% 8.26/1.99 |
% 8.26/1.99 | ALPHA: (21) implies:
% 8.26/1.99 | (22) $i(all_21_0)
% 8.26/1.99 | (23) difference(all_10_3, all_10_4) = all_21_0
% 8.26/1.99 |
% 8.26/1.99 | DELTA: instantiating (16) with fresh symbols all_23_0, all_23_1 gives:
% 8.26/1.99 | (24) difference(all_10_3, all_10_4) = all_23_0 & difference(all_10_4,
% 8.26/1.99 | all_10_3) = all_23_1 & union(all_23_1, all_23_0) = all_10_1 &
% 8.26/1.99 | $i(all_23_0) & $i(all_23_1) & $i(all_10_1)
% 8.26/1.99 |
% 8.26/1.99 | ALPHA: (24) implies:
% 8.26/1.99 | (25) $i(all_23_1)
% 8.26/1.99 | (26) difference(all_10_4, all_10_3) = all_23_1
% 8.26/1.99 | (27) difference(all_10_3, all_10_4) = all_23_0
% 8.26/1.99 |
% 8.26/1.99 | GROUND_INST: instantiating (4) with all_10_2, all_23_1, all_10_3, all_10_4,
% 8.26/1.99 | simplifying with (11), (26) gives:
% 8.26/1.99 | (28) all_23_1 = all_10_2
% 8.26/1.99 |
% 8.26/1.99 | GROUND_INST: instantiating (4) with all_21_0, all_23_0, all_10_4, all_10_3,
% 8.26/1.99 | simplifying with (23), (27) gives:
% 8.26/1.99 | (29) all_23_0 = all_21_0
% 8.26/1.99 |
% 8.26/1.99 | GROUND_INST: instantiating (4) with all_19_0, all_23_0, all_10_4, all_10_3,
% 8.26/1.99 | simplifying with (19), (27) gives:
% 8.26/1.99 | (30) all_23_0 = all_19_0
% 8.26/1.99 |
% 8.26/1.99 | GROUND_INST: instantiating (5) with all_10_1, all_19_1, all_10_3, all_10_4,
% 8.26/1.99 | simplifying with (12), (20) gives:
% 8.26/1.99 | (31) all_19_1 = all_10_1
% 8.26/1.99 |
% 8.26/1.99 | COMBINE_EQS: (29), (30) imply:
% 8.26/1.99 | (32) all_21_0 = all_19_0
% 8.26/1.99 |
% 8.26/1.99 | SIMP: (32) implies:
% 8.26/1.99 | (33) all_21_0 = all_19_0
% 8.26/1.99 |
% 8.26/1.99 | REDUCE: (18), (31) imply:
% 8.26/1.99 | (34) union(all_10_2, all_19_0) = all_10_1
% 8.26/1.99 |
% 8.26/1.99 | REDUCE: (25), (28) imply:
% 8.26/1.99 | (35) $i(all_10_2)
% 8.26/1.99 |
% 8.26/1.99 | REDUCE: (22), (33) imply:
% 8.26/1.99 | (36) $i(all_19_0)
% 8.26/1.99 |
% 8.26/2.00 | GROUND_INST: instantiating (subset_of_union) with all_10_2, all_19_0,
% 8.26/2.00 | all_10_1, simplifying with (34), (35), (36) gives:
% 8.26/2.00 | (37) subset(all_10_2, all_10_1) = 0
% 8.26/2.00 |
% 8.26/2.00 | GROUND_INST: instantiating (6) with all_10_0, 0, all_10_1, all_10_2,
% 8.26/2.00 | simplifying with (13), (37) gives:
% 8.26/2.00 | (38) all_10_0 = 0
% 8.26/2.00 |
% 8.26/2.00 | REDUCE: (8), (38) imply:
% 8.26/2.00 | (39) $false
% 8.26/2.00 |
% 8.26/2.00 | CLOSE: (39) is inconsistent.
% 8.26/2.00 |
% 8.26/2.00 End of proof
% 8.26/2.00 % SZS output end Proof for theBenchmark
% 8.26/2.00
% 8.26/2.00 1406ms
%------------------------------------------------------------------------------