TSTP Solution File: SEU217+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU217+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 : n003.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 17:43:20 EDT 2023
% Result : Theorem 6.60s 1.65s
% Output : Proof 9.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU217+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.13/0.34 % Computer : n003.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 : Thu Aug 24 01:48:22 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.61 ________ _____
% 0.19/0.61 ___ __ \_________(_)________________________________
% 0.19/0.61 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.61 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.61 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.61
% 0.19/0.61 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.61 (2023-06-19)
% 0.19/0.61
% 0.19/0.61 (c) Philipp Rümmer, 2009-2023
% 0.19/0.61 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.61 Amanda Stjerna.
% 0.19/0.61 Free software under BSD-3-Clause.
% 0.19/0.61
% 0.19/0.61 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.61
% 0.19/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.19/0.62 Running up to 7 provers in parallel.
% 0.19/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.19/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.19/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.19/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.19/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.19/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.19/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 2.62/1.05 Prover 1: Preprocessing ...
% 2.62/1.06 Prover 4: Preprocessing ...
% 2.88/1.09 Prover 5: Preprocessing ...
% 2.88/1.09 Prover 6: Preprocessing ...
% 2.88/1.09 Prover 0: Preprocessing ...
% 2.88/1.09 Prover 2: Preprocessing ...
% 2.88/1.09 Prover 3: Preprocessing ...
% 4.60/1.39 Prover 3: Warning: ignoring some quantifiers
% 4.60/1.39 Prover 1: Warning: ignoring some quantifiers
% 4.60/1.41 Prover 3: Constructing countermodel ...
% 4.60/1.41 Prover 1: Constructing countermodel ...
% 4.60/1.41 Prover 2: Proving ...
% 4.60/1.41 Prover 5: Proving ...
% 4.60/1.43 Prover 6: Proving ...
% 4.60/1.44 Prover 4: Warning: ignoring some quantifiers
% 5.36/1.46 Prover 4: Constructing countermodel ...
% 5.59/1.51 Prover 0: Proving ...
% 6.60/1.65 Prover 3: proved (1018ms)
% 6.60/1.65
% 6.60/1.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.60/1.65
% 6.60/1.65 Prover 2: stopped
% 6.60/1.65 Prover 5: stopped
% 6.60/1.65 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 6.60/1.65 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 6.60/1.65 Prover 0: stopped
% 6.60/1.66 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 6.60/1.66 Prover 6: stopped
% 6.98/1.67 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 6.98/1.67 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 6.98/1.69 Prover 8: Preprocessing ...
% 6.98/1.69 Prover 7: Preprocessing ...
% 6.98/1.70 Prover 13: Preprocessing ...
% 6.98/1.70 Prover 10: Preprocessing ...
% 6.98/1.71 Prover 11: Preprocessing ...
% 7.58/1.78 Prover 7: Warning: ignoring some quantifiers
% 7.82/1.79 Prover 7: Constructing countermodel ...
% 7.82/1.80 Prover 10: Warning: ignoring some quantifiers
% 7.82/1.81 Prover 10: Constructing countermodel ...
% 8.21/1.83 Prover 8: Warning: ignoring some quantifiers
% 8.21/1.84 Prover 1: Found proof (size 23)
% 8.21/1.84 Prover 1: proved (1216ms)
% 8.21/1.84 Prover 7: stopped
% 8.21/1.84 Prover 13: Warning: ignoring some quantifiers
% 8.21/1.84 Prover 10: stopped
% 8.21/1.85 Prover 8: Constructing countermodel ...
% 8.21/1.85 Prover 4: stopped
% 8.37/1.85 Prover 13: Constructing countermodel ...
% 8.37/1.85 Prover 8: stopped
% 8.37/1.86 Prover 13: stopped
% 8.37/1.91 Prover 11: Warning: ignoring some quantifiers
% 8.37/1.92 Prover 11: Constructing countermodel ...
% 8.37/1.93 Prover 11: stopped
% 8.37/1.93
% 8.37/1.93 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.37/1.93
% 8.37/1.93 % SZS output start Proof for theBenchmark
% 8.37/1.94 Assumptions after simplification:
% 8.37/1.94 ---------------------------------
% 8.37/1.94
% 8.37/1.94 (fc2_funct_1)
% 8.37/1.97 ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~ $i(v0) |
% 8.37/1.97 function(v1) = 0) & ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) =
% 8.37/1.97 v1) | ~ $i(v0) | relation(v1) = 0)
% 8.37/1.97
% 8.37/1.97 (t34_funct_1)
% 8.37/1.97 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (identity_relation(v0) = v2) |
% 8.37/1.97 ~ (function(v1) = 0) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4: $i] :
% 8.37/1.97 (relation_dom(v1) = v4 & relation(v1) = v3 & $i(v4) & ( ~ (v3 = 0) | (( ~
% 8.37/1.97 (v4 = v0) | v2 = v1 | ? [v5: $i] : ? [v6: $i] : ( ~ (v6 = v5) &
% 8.37/1.97 apply(v1, v5) = v6 & in(v5, v0) = 0 & $i(v6) & $i(v5))) & ( ~ (v2
% 8.37/1.97 = v1) | (v4 = v0 & ! [v5: $i] : ! [v6: $i] : (v6 = v5 | ~
% 8.37/1.97 (apply(v1, v5) = v6) | ~ $i(v5) | ? [v7: int] : ( ~ (v7 = 0) &
% 8.37/1.97 in(v5, v0) = v7))))))))
% 8.37/1.97
% 8.37/1.97 (t35_funct_1)
% 8.37/1.97 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v1) &
% 8.37/1.97 apply(v2, v1) = v3 & identity_relation(v0) = v2 & in(v1, v0) = 0 & $i(v3) &
% 8.37/1.97 $i(v2) & $i(v1) & $i(v0))
% 8.37/1.98
% 8.37/1.98 (function-axioms)
% 8.37/1.98 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 8.37/1.98 (apply(v3, v2) = v1) | ~ (apply(v3, v2) = v0)) & ! [v0: MultipleValueBool]
% 8.37/1.98 : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 8.37/1.98 (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 8.37/1.98 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 8.37/1.98 (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0: $i] : ! [v1:
% 8.37/1.98 $i] : ! [v2: $i] : (v1 = v0 | ~ (identity_relation(v2) = v1) | ~
% 8.37/1.98 (identity_relation(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 8.37/1.98 (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0:
% 8.37/1.98 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 8.37/1.98 ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0: MultipleValueBool]
% 8.37/1.98 : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (empty(v2) = v1) |
% 8.37/1.98 ~ (empty(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 8.37/1.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~ (relation(v2) = v1) | ~
% 8.37/1.98 (relation(v2) = v0)) & ! [v0: MultipleValueBool] : ! [v1:
% 8.37/1.98 MultipleValueBool] : ! [v2: $i] : (v1 = v0 | ~
% 8.37/1.98 (relation_empty_yielding(v2) = v1) | ~ (relation_empty_yielding(v2) = v0))
% 8.37/1.98
% 8.37/1.98 Further assumptions not needed in the proof:
% 8.37/1.98 --------------------------------------------
% 8.37/1.98 antisymmetry_r2_hidden, cc1_funct_1, cc1_relat_1, dt_k1_funct_1, dt_k1_relat_1,
% 8.37/1.98 dt_k1_xboole_0, dt_k6_relat_1, dt_m1_subset_1, existence_m1_subset_1,
% 8.37/1.98 fc12_relat_1, fc1_xboole_0, fc4_relat_1, fc5_relat_1, fc7_relat_1, rc1_funct_1,
% 8.37/1.98 rc1_relat_1, rc1_xboole_0, rc2_relat_1, rc2_xboole_0, rc3_relat_1, t1_subset,
% 8.37/1.98 t2_subset, t6_boole, t7_boole, t8_boole
% 8.37/1.98
% 8.37/1.98 Those formulas are unsatisfiable:
% 8.37/1.98 ---------------------------------
% 8.37/1.98
% 8.37/1.98 Begin of proof
% 8.37/1.98 |
% 8.37/1.98 | ALPHA: (fc2_funct_1) implies:
% 8.37/1.99 | (1) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~
% 8.37/1.99 | $i(v0) | relation(v1) = 0)
% 8.37/1.99 | (2) ! [v0: $i] : ! [v1: $i] : ( ~ (identity_relation(v0) = v1) | ~
% 8.37/1.99 | $i(v0) | function(v1) = 0)
% 8.37/1.99 |
% 8.37/1.99 | ALPHA: (function-axioms) implies:
% 8.37/1.99 | (3) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 8.37/1.99 | (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 8.37/1.99 | (4) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 8.37/1.99 | ! [v3: $i] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 8.37/1.99 |
% 8.37/1.99 | DELTA: instantiating (t35_funct_1) with fresh symbols all_30_0, all_30_1,
% 8.37/1.99 | all_30_2, all_30_3 gives:
% 8.37/1.99 | (5) ~ (all_30_0 = all_30_2) & apply(all_30_1, all_30_2) = all_30_0 &
% 8.37/1.99 | identity_relation(all_30_3) = all_30_1 & in(all_30_2, all_30_3) = 0 &
% 8.37/1.99 | $i(all_30_0) & $i(all_30_1) & $i(all_30_2) & $i(all_30_3)
% 8.37/1.99 |
% 8.37/1.99 | ALPHA: (5) implies:
% 8.37/1.99 | (6) ~ (all_30_0 = all_30_2)
% 8.37/1.99 | (7) $i(all_30_3)
% 8.37/1.99 | (8) $i(all_30_2)
% 8.37/1.99 | (9) $i(all_30_1)
% 8.37/1.99 | (10) in(all_30_2, all_30_3) = 0
% 8.37/1.99 | (11) identity_relation(all_30_3) = all_30_1
% 8.37/1.99 | (12) apply(all_30_1, all_30_2) = all_30_0
% 8.37/1.99 |
% 8.37/1.99 | GROUND_INST: instantiating (2) with all_30_3, all_30_1, simplifying with (7),
% 8.37/1.99 | (11) gives:
% 8.37/1.99 | (13) function(all_30_1) = 0
% 8.37/1.99 |
% 8.37/1.99 | GROUND_INST: instantiating (1) with all_30_3, all_30_1, simplifying with (7),
% 8.37/1.99 | (11) gives:
% 8.37/1.99 | (14) relation(all_30_1) = 0
% 8.37/1.99 |
% 8.37/2.00 | GROUND_INST: instantiating (t34_funct_1) with all_30_3, all_30_1, all_30_1,
% 8.37/2.00 | simplifying with (7), (9), (11), (13) gives:
% 8.37/2.00 | (15) ? [v0: any] : ? [v1: $i] : (relation_dom(all_30_1) = v1 &
% 8.37/2.00 | relation(all_30_1) = v0 & $i(v1) & ( ~ (v0 = 0) | (v1 = all_30_3 &
% 8.37/2.00 | ! [v2: $i] : ! [v3: $i] : (v3 = v2 | ~ (apply(all_30_1, v2) =
% 8.37/2.00 | v3) | ~ $i(v2) | ? [v4: int] : ( ~ (v4 = 0) & in(v2,
% 8.37/2.00 | all_30_3) = v4)))))
% 8.37/2.00 |
% 8.37/2.00 | DELTA: instantiating (15) with fresh symbols all_57_0, all_57_1 gives:
% 9.05/2.00 | (16) relation_dom(all_30_1) = all_57_0 & relation(all_30_1) = all_57_1 &
% 9.05/2.00 | $i(all_57_0) & ( ~ (all_57_1 = 0) | (all_57_0 = all_30_3 & ! [v0: $i]
% 9.05/2.00 | : ! [v1: $i] : (v1 = v0 | ~ (apply(all_30_1, v0) = v1) | ~
% 9.05/2.00 | $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_30_3) = v2))))
% 9.05/2.00 |
% 9.05/2.00 | ALPHA: (16) implies:
% 9.05/2.00 | (17) relation(all_30_1) = all_57_1
% 9.05/2.00 | (18) ~ (all_57_1 = 0) | (all_57_0 = all_30_3 & ! [v0: $i] : ! [v1: $i] :
% 9.05/2.00 | (v1 = v0 | ~ (apply(all_30_1, v0) = v1) | ~ $i(v0) | ? [v2: int]
% 9.05/2.00 | : ( ~ (v2 = 0) & in(v0, all_30_3) = v2)))
% 9.05/2.00 |
% 9.05/2.00 | GROUND_INST: instantiating (3) with 0, all_57_1, all_30_1, simplifying with
% 9.05/2.00 | (14), (17) gives:
% 9.05/2.00 | (19) all_57_1 = 0
% 9.05/2.00 |
% 9.05/2.00 | BETA: splitting (18) gives:
% 9.05/2.00 |
% 9.05/2.00 | Case 1:
% 9.05/2.00 | |
% 9.05/2.00 | | (20) ~ (all_57_1 = 0)
% 9.05/2.00 | |
% 9.05/2.00 | | REDUCE: (19), (20) imply:
% 9.05/2.00 | | (21) $false
% 9.05/2.00 | |
% 9.05/2.00 | | CLOSE: (21) is inconsistent.
% 9.05/2.00 | |
% 9.05/2.00 | Case 2:
% 9.05/2.00 | |
% 9.05/2.00 | | (22) all_57_0 = all_30_3 & ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~
% 9.05/2.00 | | (apply(all_30_1, v0) = v1) | ~ $i(v0) | ? [v2: int] : ( ~ (v2 =
% 9.05/2.00 | | 0) & in(v0, all_30_3) = v2))
% 9.05/2.00 | |
% 9.05/2.00 | | ALPHA: (22) implies:
% 9.05/2.00 | | (23) ! [v0: $i] : ! [v1: $i] : (v1 = v0 | ~ (apply(all_30_1, v0) = v1)
% 9.05/2.00 | | | ~ $i(v0) | ? [v2: int] : ( ~ (v2 = 0) & in(v0, all_30_3) =
% 9.05/2.00 | | v2))
% 9.05/2.00 | |
% 9.05/2.00 | | GROUND_INST: instantiating (23) with all_30_2, all_30_0, simplifying with
% 9.05/2.00 | | (8), (12) gives:
% 9.05/2.00 | | (24) all_30_0 = all_30_2 | ? [v0: int] : ( ~ (v0 = 0) & in(all_30_2,
% 9.05/2.00 | | all_30_3) = v0)
% 9.05/2.00 | |
% 9.05/2.00 | | BETA: splitting (24) gives:
% 9.05/2.00 | |
% 9.05/2.00 | | Case 1:
% 9.05/2.00 | | |
% 9.05/2.00 | | | (25) all_30_0 = all_30_2
% 9.05/2.00 | | |
% 9.05/2.01 | | | REDUCE: (6), (25) imply:
% 9.05/2.01 | | | (26) $false
% 9.05/2.01 | | |
% 9.05/2.01 | | | CLOSE: (26) is inconsistent.
% 9.05/2.01 | | |
% 9.05/2.01 | | Case 2:
% 9.05/2.01 | | |
% 9.05/2.01 | | | (27) ? [v0: int] : ( ~ (v0 = 0) & in(all_30_2, all_30_3) = v0)
% 9.05/2.01 | | |
% 9.05/2.01 | | | DELTA: instantiating (27) with fresh symbol all_72_0 gives:
% 9.05/2.01 | | | (28) ~ (all_72_0 = 0) & in(all_30_2, all_30_3) = all_72_0
% 9.05/2.01 | | |
% 9.05/2.01 | | | ALPHA: (28) implies:
% 9.05/2.01 | | | (29) ~ (all_72_0 = 0)
% 9.05/2.01 | | | (30) in(all_30_2, all_30_3) = all_72_0
% 9.05/2.01 | | |
% 9.05/2.01 | | | GROUND_INST: instantiating (4) with 0, all_72_0, all_30_3, all_30_2,
% 9.05/2.01 | | | simplifying with (10), (30) gives:
% 9.05/2.01 | | | (31) all_72_0 = 0
% 9.05/2.01 | | |
% 9.05/2.01 | | | REDUCE: (29), (31) imply:
% 9.05/2.01 | | | (32) $false
% 9.05/2.01 | | |
% 9.05/2.01 | | | CLOSE: (32) is inconsistent.
% 9.05/2.01 | | |
% 9.05/2.01 | | End of split
% 9.05/2.01 | |
% 9.05/2.01 | End of split
% 9.05/2.01 |
% 9.05/2.01 End of proof
% 9.05/2.01 % SZS output end Proof for theBenchmark
% 9.05/2.01
% 9.05/2.01 1400ms
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