TSTP Solution File: SEU156+2 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SEU156+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp
% Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% Computer : n022.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 17:42:51 EDT 2023
% Result : Theorem 18.38s 3.21s
% Output : Proof 43.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SEU156+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : princess -inputFormat=tptp +threads -portfolio=casc +printProof -timeoutSec=%d %s
% 0.12/0.34 % Computer : n022.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 16:00:41 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.21/0.60 ________ _____
% 0.21/0.60 ___ __ \_________(_)________________________________
% 0.21/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.21/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.21/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.21/0.60
% 0.21/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.21/0.60 (2023-06-19)
% 0.21/0.60
% 0.21/0.60 (c) Philipp Rümmer, 2009-2023
% 0.21/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.21/0.60 Amanda Stjerna.
% 0.21/0.60 Free software under BSD-3-Clause.
% 0.21/0.60
% 0.21/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.21/0.60
% 0.21/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.21/0.61 Running up to 7 provers in parallel.
% 0.21/0.63 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.21/0.63 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.21/0.63 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.21/0.63 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.21/0.63 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.21/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 0.21/0.63 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 3.02/1.15 Prover 1: Preprocessing ...
% 3.02/1.15 Prover 4: Preprocessing ...
% 3.81/1.20 Prover 2: Preprocessing ...
% 3.81/1.20 Prover 6: Preprocessing ...
% 3.81/1.20 Prover 0: Preprocessing ...
% 3.81/1.20 Prover 5: Preprocessing ...
% 3.81/1.20 Prover 3: Preprocessing ...
% 8.89/1.97 Prover 1: Warning: ignoring some quantifiers
% 9.62/2.05 Prover 1: Constructing countermodel ...
% 9.62/2.06 Prover 5: Proving ...
% 10.31/2.13 Prover 3: Warning: ignoring some quantifiers
% 10.31/2.15 Prover 6: Proving ...
% 10.31/2.18 Prover 4: Warning: ignoring some quantifiers
% 10.31/2.19 Prover 3: Constructing countermodel ...
% 10.88/2.25 Prover 2: Proving ...
% 10.88/2.25 Prover 4: Constructing countermodel ...
% 11.57/2.29 Prover 0: Proving ...
% 12.60/2.45 Prover 3: gave up
% 12.60/2.45 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 13.20/2.54 Prover 7: Preprocessing ...
% 13.82/2.65 Prover 1: gave up
% 13.82/2.66 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 13.82/2.72 Prover 8: Preprocessing ...
% 15.14/2.77 Prover 7: Warning: ignoring some quantifiers
% 15.14/2.83 Prover 7: Constructing countermodel ...
% 16.90/3.01 Prover 8: Warning: ignoring some quantifiers
% 16.90/3.03 Prover 8: Constructing countermodel ...
% 18.38/3.21 Prover 5: proved (2578ms)
% 18.38/3.21
% 18.38/3.21 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 18.38/3.21
% 18.38/3.21 Prover 2: stopped
% 18.38/3.21 Prover 0: stopped
% 18.38/3.21 Prover 6: stopped
% 18.61/3.23 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 18.61/3.23 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 18.61/3.23 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 18.61/3.24 Prover 16: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=completeFrugal -randomSeed=-2043353683
% 18.61/3.30 Prover 11: Preprocessing ...
% 18.61/3.33 Prover 10: Preprocessing ...
% 18.61/3.34 Prover 13: Preprocessing ...
% 19.42/3.37 Prover 16: Preprocessing ...
% 20.13/3.49 Prover 8: gave up
% 20.13/3.50 Prover 19: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=-1780594085
% 20.68/3.52 Prover 10: Warning: ignoring some quantifiers
% 20.68/3.55 Prover 10: Constructing countermodel ...
% 20.68/3.56 Prover 16: Warning: ignoring some quantifiers
% 20.68/3.56 Prover 19: Preprocessing ...
% 21.06/3.57 Prover 16: Constructing countermodel ...
% 21.06/3.62 Prover 13: Warning: ignoring some quantifiers
% 21.06/3.62 Prover 11: Warning: ignoring some quantifiers
% 21.06/3.62 Prover 11: Constructing countermodel ...
% 21.06/3.63 Prover 13: Constructing countermodel ...
% 23.02/3.83 Prover 19: Warning: ignoring some quantifiers
% 23.02/3.84 Prover 19: Constructing countermodel ...
% 23.40/3.90 Prover 10: gave up
% 32.10/5.08 Prover 19: gave up
% 42.56/6.43 Prover 16: gave up
% 42.56/6.43 Prover 4: Found proof (size 106)
% 42.56/6.43 Prover 4: proved (5809ms)
% 42.56/6.43 Prover 7: stopped
% 42.56/6.43 Prover 11: stopped
% 42.56/6.44 Prover 13: stopped
% 42.56/6.44
% 42.56/6.44 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 42.56/6.44
% 42.56/6.45 % SZS output start Proof for theBenchmark
% 42.56/6.45 Assumptions after simplification:
% 42.56/6.45 ---------------------------------
% 42.56/6.45
% 42.56/6.45 (commutativity_k2_tarski)
% 42.56/6.47 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v1, v0) = v2) |
% 42.56/6.47 ~ $i(v1) | ~ $i(v0) | (unordered_pair(v0, v1) = v2 & $i(v2))) & ! [v0: $i]
% 42.56/6.47 : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v0, v1) = v2) | ~ $i(v1) |
% 42.56/6.48 ~ $i(v0) | (unordered_pair(v1, v0) = v2 & $i(v2)))
% 42.56/6.48
% 42.56/6.48 (d5_tarski)
% 43.10/6.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ordered_pair(v0, v1) = v2) | ~
% 43.10/6.48 $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] : (singleton(v0) = v4 &
% 43.10/6.48 unordered_pair(v3, v4) = v2 & unordered_pair(v0, v1) = v3 & $i(v4) &
% 43.10/6.48 $i(v3) & $i(v2))) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 43.10/6.48 (unordered_pair(v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ?
% 43.10/6.48 [v4: $i] : (ordered_pair(v0, v1) = v3 & singleton(v0) = v4 &
% 43.10/6.48 unordered_pair(v2, v4) = v3 & $i(v4) & $i(v3)))
% 43.10/6.48
% 43.10/6.48 (t10_zfmisc_1)
% 43.10/6.48 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v3 = v0
% 43.10/6.48 | v2 = v0 | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) =
% 43.10/6.48 v4) | ~ $i(v3) | ~ $i(v2) | ~ $i(v1) | ~ $i(v0))
% 43.10/6.48
% 43.10/6.48 (t33_zfmisc_1)
% 43.10/6.48 ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ? [v4: $i] :
% 43.10/6.48 (ordered_pair(v2, v3) = v4 & ordered_pair(v0, v1) = v4 & $i(v4) & $i(v3) &
% 43.10/6.48 $i(v2) & $i(v1) & $i(v0) & ( ~ (v3 = v1) | ~ (v2 = v0)))
% 43.10/6.48
% 43.10/6.48 (t69_enumset1)
% 43.13/6.48 ! [v0: $i] : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v0) |
% 43.13/6.48 (unordered_pair(v0, v0) = v1 & $i(v1))) & ! [v0: $i] : ! [v1: $i] : ( ~
% 43.13/6.48 (unordered_pair(v0, v0) = v1) | ~ $i(v0) | (singleton(v0) = v1 & $i(v1)))
% 43.13/6.48
% 43.13/6.48 (t8_zfmisc_1)
% 43.13/6.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 43.13/6.49 (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3) | ~ $i(v2) | ~
% 43.13/6.49 $i(v1) | ~ $i(v0))
% 43.13/6.49
% 43.13/6.49 (t9_zfmisc_1)
% 43.13/6.49 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v2 = v1 | ~
% 43.13/6.49 (singleton(v0) = v3) | ~ (unordered_pair(v1, v2) = v3) | ~ $i(v2) | ~
% 43.13/6.49 $i(v1) | ~ $i(v0))
% 43.13/6.49
% 43.13/6.49 (function-axioms)
% 43.13/6.49 ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : !
% 43.13/6.49 [v3: $i] : (v1 = v0 | ~ (disjoint(v3, v2) = v1) | ~ (disjoint(v3, v2) = v0))
% 43.13/6.49 & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 43.13/6.49 (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0: $i]
% 43.13/6.49 : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (set_difference(v3,
% 43.13/6.49 v2) = v1) | ~ (set_difference(v3, v2) = v0)) & ! [v0:
% 43.13/6.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 43.13/6.49 : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0:
% 43.13/6.49 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 43.13/6.49 (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & !
% 43.13/6.49 [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 43.13/6.49 (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0)) & ! [v0: $i] : !
% 43.13/6.49 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (unordered_pair(v3, v2) =
% 43.13/6.49 v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0: MultipleValueBool] : !
% 43.13/6.49 [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 43.13/6.49 (proper_subset(v3, v2) = v1) | ~ (proper_subset(v3, v2) = v0)) & ! [v0:
% 43.13/6.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 43.13/6.49 : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0:
% 43.13/6.49 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : (v1 = v0 |
% 43.13/6.49 ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 43.13/6.49 [v2: $i] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0)) & ! [v0: $i]
% 43.13/6.49 : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (powerset(v2) = v1) | ~
% 43.13/6.49 (powerset(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 |
% 43.13/6.49 ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 43.13/6.49
% 43.13/6.49 Further assumptions not needed in the proof:
% 43.13/6.49 --------------------------------------------
% 43.13/6.49 antisymmetry_r2_hidden, antisymmetry_r2_xboole_0, commutativity_k2_xboole_0,
% 43.13/6.49 commutativity_k3_xboole_0, d10_xboole_0, d1_tarski, d1_xboole_0, d1_zfmisc_1,
% 43.13/6.49 d2_tarski, d2_xboole_0, d3_tarski, d3_xboole_0, d4_tarski, d4_xboole_0,
% 43.13/6.49 d7_xboole_0, d8_xboole_0, dt_k1_tarski, dt_k1_xboole_0, dt_k1_zfmisc_1,
% 43.13/6.49 dt_k2_tarski, dt_k2_xboole_0, dt_k3_tarski, dt_k3_xboole_0, dt_k4_tarski,
% 43.13/6.49 dt_k4_xboole_0, fc1_xboole_0, fc1_zfmisc_1, fc2_xboole_0, fc3_xboole_0,
% 43.13/6.49 idempotence_k2_xboole_0, idempotence_k3_xboole_0, irreflexivity_r2_xboole_0,
% 43.13/6.49 l1_zfmisc_1, l23_zfmisc_1, l25_zfmisc_1, l28_zfmisc_1, l2_zfmisc_1,
% 43.13/6.49 l32_xboole_1, l3_zfmisc_1, l4_zfmisc_1, l50_zfmisc_1, rc1_xboole_0,
% 43.13/6.49 rc2_xboole_0, reflexivity_r1_tarski, symmetry_r1_xboole_0, t12_xboole_1,
% 43.13/6.49 t17_xboole_1, t19_xboole_1, t1_boole, t1_xboole_1, t1_zfmisc_1, t26_xboole_1,
% 43.13/6.49 t28_xboole_1, t2_boole, t2_tarski, t2_xboole_1, t33_xboole_1, t36_xboole_1,
% 43.13/6.49 t37_xboole_1, t39_xboole_1, t3_boole, t3_xboole_0, t3_xboole_1, t40_xboole_1,
% 43.13/6.49 t45_xboole_1, t48_xboole_1, t4_boole, t4_xboole_0, t60_xboole_1, t63_xboole_1,
% 43.13/6.49 t6_boole, t6_zfmisc_1, t7_boole, t7_xboole_1, t83_xboole_1, t8_boole,
% 43.13/6.49 t8_xboole_1
% 43.13/6.49
% 43.13/6.49 Those formulas are unsatisfiable:
% 43.13/6.49 ---------------------------------
% 43.13/6.49
% 43.13/6.49 Begin of proof
% 43.13/6.49 |
% 43.13/6.50 | ALPHA: (commutativity_k2_tarski) implies:
% 43.13/6.50 | (1) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v1, v0) =
% 43.13/6.50 | v2) | ~ $i(v1) | ~ $i(v0) | (unordered_pair(v0, v1) = v2 &
% 43.13/6.50 | $i(v2)))
% 43.13/6.50 |
% 43.13/6.50 | ALPHA: (d5_tarski) implies:
% 43.13/6.50 | (2) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (unordered_pair(v0, v1) =
% 43.13/6.50 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 43.13/6.50 | (ordered_pair(v0, v1) = v3 & singleton(v0) = v4 & unordered_pair(v2,
% 43.13/6.50 | v4) = v3 & $i(v4) & $i(v3)))
% 43.13/6.50 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (ordered_pair(v0, v1) =
% 43.13/6.50 | v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: $i] : ? [v4: $i] :
% 43.13/6.50 | (singleton(v0) = v4 & unordered_pair(v3, v4) = v2 &
% 43.13/6.50 | unordered_pair(v0, v1) = v3 & $i(v4) & $i(v3) & $i(v2)))
% 43.13/6.50 |
% 43.13/6.50 | ALPHA: (t69_enumset1) implies:
% 43.13/6.50 | (4) ! [v0: $i] : ! [v1: $i] : ( ~ (singleton(v0) = v1) | ~ $i(v0) |
% 43.13/6.50 | (unordered_pair(v0, v0) = v1 & $i(v1)))
% 43.13/6.50 |
% 43.13/6.50 | ALPHA: (function-axioms) implies:
% 43.13/6.50 | (5) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (singleton(v2)
% 43.13/6.50 | = v1) | ~ (singleton(v2) = v0))
% 43.13/6.50 |
% 43.13/6.50 | DELTA: instantiating (t33_zfmisc_1) with fresh symbols all_80_0, all_80_1,
% 43.13/6.50 | all_80_2, all_80_3, all_80_4 gives:
% 43.13/6.50 | (6) ordered_pair(all_80_2, all_80_1) = all_80_0 & ordered_pair(all_80_4,
% 43.13/6.50 | all_80_3) = all_80_0 & $i(all_80_0) & $i(all_80_1) & $i(all_80_2) &
% 43.13/6.50 | $i(all_80_3) & $i(all_80_4) & ( ~ (all_80_1 = all_80_3) | ~ (all_80_2
% 43.13/6.50 | = all_80_4))
% 43.13/6.50 |
% 43.13/6.50 | ALPHA: (6) implies:
% 43.13/6.50 | (7) $i(all_80_4)
% 43.13/6.50 | (8) $i(all_80_3)
% 43.13/6.50 | (9) $i(all_80_2)
% 43.13/6.50 | (10) $i(all_80_1)
% 43.23/6.50 | (11) ordered_pair(all_80_4, all_80_3) = all_80_0
% 43.23/6.50 | (12) ordered_pair(all_80_2, all_80_1) = all_80_0
% 43.23/6.50 | (13) ~ (all_80_1 = all_80_3) | ~ (all_80_2 = all_80_4)
% 43.23/6.50 |
% 43.23/6.50 | GROUND_INST: instantiating (3) with all_80_4, all_80_3, all_80_0, simplifying
% 43.23/6.50 | with (7), (8), (11) gives:
% 43.23/6.50 | (14) ? [v0: $i] : ? [v1: $i] : (singleton(all_80_4) = v1 &
% 43.23/6.50 | unordered_pair(v0, v1) = all_80_0 & unordered_pair(all_80_4,
% 43.23/6.50 | all_80_3) = v0 & $i(v1) & $i(v0) & $i(all_80_0))
% 43.23/6.50 |
% 43.23/6.51 | GROUND_INST: instantiating (3) with all_80_2, all_80_1, all_80_0, simplifying
% 43.23/6.51 | with (9), (10), (12) gives:
% 43.23/6.51 | (15) ? [v0: $i] : ? [v1: $i] : (singleton(all_80_2) = v1 &
% 43.23/6.51 | unordered_pair(v0, v1) = all_80_0 & unordered_pair(all_80_2,
% 43.23/6.51 | all_80_1) = v0 & $i(v1) & $i(v0) & $i(all_80_0))
% 43.23/6.51 |
% 43.23/6.51 | DELTA: instantiating (14) with fresh symbols all_105_0, all_105_1 gives:
% 43.23/6.51 | (16) singleton(all_80_4) = all_105_0 & unordered_pair(all_105_1, all_105_0)
% 43.23/6.51 | = all_80_0 & unordered_pair(all_80_4, all_80_3) = all_105_1 &
% 43.23/6.51 | $i(all_105_0) & $i(all_105_1) & $i(all_80_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (16) implies:
% 43.23/6.51 | (17) $i(all_105_0)
% 43.23/6.51 | (18) unordered_pair(all_80_4, all_80_3) = all_105_1
% 43.23/6.51 | (19) unordered_pair(all_105_1, all_105_0) = all_80_0
% 43.23/6.51 | (20) singleton(all_80_4) = all_105_0
% 43.23/6.51 |
% 43.23/6.51 | DELTA: instantiating (15) with fresh symbols all_107_0, all_107_1 gives:
% 43.23/6.51 | (21) singleton(all_80_2) = all_107_0 & unordered_pair(all_107_1, all_107_0)
% 43.23/6.51 | = all_80_0 & unordered_pair(all_80_2, all_80_1) = all_107_1 &
% 43.23/6.51 | $i(all_107_0) & $i(all_107_1) & $i(all_80_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (21) implies:
% 43.23/6.51 | (22) $i(all_107_0)
% 43.23/6.51 | (23) unordered_pair(all_80_2, all_80_1) = all_107_1
% 43.23/6.51 | (24) unordered_pair(all_107_1, all_107_0) = all_80_0
% 43.23/6.51 | (25) singleton(all_80_2) = all_107_0
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (1) with all_80_3, all_80_4, all_105_1, simplifying
% 43.23/6.51 | with (7), (8), (18) gives:
% 43.23/6.51 | (26) unordered_pair(all_80_3, all_80_4) = all_105_1 & $i(all_105_1)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (26) implies:
% 43.23/6.51 | (27) $i(all_105_1)
% 43.23/6.51 | (28) unordered_pair(all_80_3, all_80_4) = all_105_1
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (1) with all_80_1, all_80_2, all_107_1, simplifying
% 43.23/6.51 | with (9), (10), (23) gives:
% 43.23/6.51 | (29) unordered_pair(all_80_1, all_80_2) = all_107_1 & $i(all_107_1)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (29) implies:
% 43.23/6.51 | (30) $i(all_107_1)
% 43.23/6.51 | (31) unordered_pair(all_80_1, all_80_2) = all_107_1
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (1) with all_105_0, all_105_1, all_80_0,
% 43.23/6.51 | simplifying with (17), (19), (27) gives:
% 43.23/6.51 | (32) unordered_pair(all_105_0, all_105_1) = all_80_0 & $i(all_80_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (32) implies:
% 43.23/6.51 | (33) unordered_pair(all_105_0, all_105_1) = all_80_0
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (1) with all_107_0, all_107_1, all_80_0,
% 43.23/6.51 | simplifying with (22), (24), (30) gives:
% 43.23/6.51 | (34) unordered_pair(all_107_0, all_107_1) = all_80_0 & $i(all_80_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (34) implies:
% 43.23/6.51 | (35) unordered_pair(all_107_0, all_107_1) = all_80_0
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (4) with all_80_4, all_105_0, simplifying with (7),
% 43.23/6.51 | (20) gives:
% 43.23/6.51 | (36) unordered_pair(all_80_4, all_80_4) = all_105_0 & $i(all_105_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (36) implies:
% 43.23/6.51 | (37) unordered_pair(all_80_4, all_80_4) = all_105_0
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (4) with all_80_2, all_107_0, simplifying with (9),
% 43.23/6.51 | (25) gives:
% 43.23/6.51 | (38) unordered_pair(all_80_2, all_80_2) = all_107_0 & $i(all_107_0)
% 43.23/6.51 |
% 43.23/6.51 | ALPHA: (38) implies:
% 43.23/6.51 | (39) unordered_pair(all_80_2, all_80_2) = all_107_0
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (2) with all_80_4, all_80_4, all_105_0, simplifying
% 43.23/6.51 | with (7), (37) gives:
% 43.23/6.51 | (40) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_80_4, all_80_4) = v0 &
% 43.23/6.51 | singleton(all_80_4) = v1 & unordered_pair(all_105_0, v1) = v0 &
% 43.23/6.51 | $i(v1) & $i(v0))
% 43.23/6.51 |
% 43.23/6.51 | GROUND_INST: instantiating (2) with all_80_2, all_80_2, all_107_0, simplifying
% 43.23/6.51 | with (9), (39) gives:
% 43.29/6.51 | (41) ? [v0: $i] : ? [v1: $i] : (ordered_pair(all_80_2, all_80_2) = v0 &
% 43.29/6.51 | singleton(all_80_2) = v1 & unordered_pair(all_107_0, v1) = v0 &
% 43.29/6.51 | $i(v1) & $i(v0))
% 43.29/6.51 |
% 43.29/6.52 | GROUND_INST: instantiating (t10_zfmisc_1) with all_107_1, all_107_0,
% 43.29/6.52 | all_105_0, all_105_1, all_80_0, simplifying with (17), (22),
% 43.29/6.52 | (24), (27), (30), (33) gives:
% 43.29/6.52 | (42) all_107_1 = all_105_0 | all_107_1 = all_105_1
% 43.29/6.52 |
% 43.29/6.52 | GROUND_INST: instantiating (t10_zfmisc_1) with all_105_1, all_105_0,
% 43.29/6.52 | all_107_0, all_107_1, all_80_0, simplifying with (17), (19),
% 43.29/6.52 | (22), (27), (30), (35) gives:
% 43.29/6.52 | (43) all_107_0 = all_105_1 | all_107_1 = all_105_1
% 43.29/6.52 |
% 43.29/6.52 | GROUND_INST: instantiating (t10_zfmisc_1) with all_105_0, all_105_1,
% 43.29/6.52 | all_107_0, all_107_1, all_80_0, simplifying with (17), (22),
% 43.29/6.52 | (27), (30), (33), (35) gives:
% 43.29/6.52 | (44) all_107_0 = all_105_0 | all_107_1 = all_105_0
% 43.29/6.52 |
% 43.29/6.52 | GROUND_INST: instantiating (t10_zfmisc_1) with all_107_0, all_107_1,
% 43.29/6.52 | all_105_0, all_105_1, all_80_0, simplifying with (17), (22),
% 43.29/6.52 | (27), (30), (33), (35) gives:
% 43.29/6.52 | (45) all_107_0 = all_105_0 | all_107_0 = all_105_1
% 43.29/6.52 |
% 43.29/6.52 | DELTA: instantiating (41) with fresh symbols all_141_0, all_141_1 gives:
% 43.29/6.52 | (46) ordered_pair(all_80_2, all_80_2) = all_141_1 & singleton(all_80_2) =
% 43.29/6.52 | all_141_0 & unordered_pair(all_107_0, all_141_0) = all_141_1 &
% 43.29/6.52 | $i(all_141_0) & $i(all_141_1)
% 43.29/6.52 |
% 43.29/6.52 | ALPHA: (46) implies:
% 43.29/6.52 | (47) singleton(all_80_2) = all_141_0
% 43.29/6.52 |
% 43.29/6.52 | DELTA: instantiating (40) with fresh symbols all_149_0, all_149_1 gives:
% 43.29/6.52 | (48) ordered_pair(all_80_4, all_80_4) = all_149_1 & singleton(all_80_4) =
% 43.29/6.52 | all_149_0 & unordered_pair(all_105_0, all_149_0) = all_149_1 &
% 43.29/6.52 | $i(all_149_0) & $i(all_149_1)
% 43.29/6.52 |
% 43.29/6.52 | ALPHA: (48) implies:
% 43.29/6.52 | (49) singleton(all_80_4) = all_149_0
% 43.29/6.52 |
% 43.29/6.52 | GROUND_INST: instantiating (5) with all_105_0, all_149_0, all_80_4,
% 43.29/6.52 | simplifying with (20), (49) gives:
% 43.29/6.52 | (50) all_149_0 = all_105_0
% 43.29/6.52 |
% 43.29/6.52 | GROUND_INST: instantiating (5) with all_107_0, all_141_0, all_80_2,
% 43.29/6.52 | simplifying with (25), (47) gives:
% 43.29/6.52 | (51) all_141_0 = all_107_0
% 43.29/6.52 |
% 43.29/6.52 | BETA: splitting (13) gives:
% 43.29/6.52 |
% 43.29/6.52 | Case 1:
% 43.29/6.52 | |
% 43.29/6.52 | | (52) ~ (all_80_1 = all_80_3)
% 43.29/6.52 | |
% 43.29/6.52 | | BETA: splitting (43) gives:
% 43.29/6.52 | |
% 43.29/6.52 | | Case 1:
% 43.29/6.52 | | |
% 43.29/6.52 | | | (53) all_107_0 = all_105_1
% 43.29/6.52 | | |
% 43.29/6.52 | | | REDUCE: (25), (53) imply:
% 43.29/6.52 | | | (54) singleton(all_80_2) = all_105_1
% 43.29/6.52 | | |
% 43.29/6.52 | | | BETA: splitting (42) gives:
% 43.29/6.52 | | |
% 43.29/6.52 | | | Case 1:
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | (55) all_107_1 = all_105_0
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | REDUCE: (31), (55) imply:
% 43.29/6.52 | | | | (56) unordered_pair(all_80_1, all_80_2) = all_105_0
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | GROUND_INST: instantiating (t9_zfmisc_1) with all_80_4, all_80_1,
% 43.29/6.52 | | | | all_80_2, all_105_0, simplifying with (7), (9), (10), (20),
% 43.29/6.52 | | | | (56) gives:
% 43.29/6.52 | | | | (57) all_80_1 = all_80_2
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_4, all_80_1,
% 43.29/6.52 | | | | all_80_2, all_105_0, simplifying with (7), (9), (10), (20),
% 43.29/6.52 | | | | (56) gives:
% 43.29/6.52 | | | | (58) all_80_1 = all_80_4
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_2, all_80_3,
% 43.29/6.52 | | | | all_80_4, all_105_1, simplifying with (7), (8), (9), (28),
% 43.29/6.52 | | | | (54) gives:
% 43.29/6.52 | | | | (59) all_80_2 = all_80_3
% 43.29/6.52 | | | |
% 43.29/6.52 | | | | COMBINE_EQS: (57), (58) imply:
% 43.29/6.53 | | | | (60) all_80_2 = all_80_4
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | COMBINE_EQS: (59), (60) imply:
% 43.29/6.53 | | | | (61) all_80_3 = all_80_4
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | SIMP: (61) implies:
% 43.29/6.53 | | | | (62) all_80_3 = all_80_4
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | REDUCE: (52), (58), (62) imply:
% 43.29/6.53 | | | | (63) $false
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | CLOSE: (63) is inconsistent.
% 43.29/6.53 | | | |
% 43.29/6.53 | | | Case 2:
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | (64) all_107_1 = all_105_1
% 43.29/6.53 | | | | (65) ~ (all_107_1 = all_105_0)
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | REDUCE: (64), (65) imply:
% 43.29/6.53 | | | | (66) ~ (all_105_0 = all_105_1)
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | SIMP: (66) implies:
% 43.29/6.53 | | | | (67) ~ (all_105_0 = all_105_1)
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | BETA: splitting (44) gives:
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | Case 1:
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | (68) all_107_0 = all_105_0
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | COMBINE_EQS: (53), (68) imply:
% 43.29/6.53 | | | | | (69) all_105_0 = all_105_1
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | SIMP: (69) implies:
% 43.29/6.53 | | | | | (70) all_105_0 = all_105_1
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | REDUCE: (67), (70) imply:
% 43.29/6.53 | | | | | (71) $false
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | CLOSE: (71) is inconsistent.
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | Case 2:
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | (72) all_107_1 = all_105_0
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | COMBINE_EQS: (64), (72) imply:
% 43.29/6.53 | | | | | (73) all_105_0 = all_105_1
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | REDUCE: (67), (73) imply:
% 43.29/6.53 | | | | | (74) $false
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | CLOSE: (74) is inconsistent.
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | End of split
% 43.29/6.53 | | | |
% 43.29/6.53 | | | End of split
% 43.29/6.53 | | |
% 43.29/6.53 | | Case 2:
% 43.29/6.53 | | |
% 43.29/6.53 | | | (75) all_107_1 = all_105_1
% 43.29/6.53 | | | (76) ~ (all_107_0 = all_105_1)
% 43.29/6.53 | | |
% 43.29/6.53 | | | REDUCE: (31), (75) imply:
% 43.29/6.53 | | | (77) unordered_pair(all_80_1, all_80_2) = all_105_1
% 43.29/6.53 | | |
% 43.29/6.53 | | | BETA: splitting (45) gives:
% 43.29/6.53 | | |
% 43.29/6.53 | | | Case 1:
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | (78) all_107_0 = all_105_0
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | REDUCE: (25), (78) imply:
% 43.29/6.53 | | | | (79) singleton(all_80_2) = all_105_0
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | GROUND_INST: instantiating (t10_zfmisc_1) with all_80_3, all_80_4,
% 43.29/6.53 | | | | all_80_1, all_80_2, all_105_1, simplifying with (7), (8),
% 43.29/6.53 | | | | (9), (10), (28), (77) gives:
% 43.29/6.53 | | | | (80) all_80_1 = all_80_3 | all_80_2 = all_80_3
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | GROUND_INST: instantiating (t10_zfmisc_1) with all_80_1, all_80_2,
% 43.29/6.53 | | | | all_80_4, all_80_3, all_105_1, simplifying with (7), (8),
% 43.29/6.53 | | | | (9), (10), (18), (77) gives:
% 43.29/6.53 | | | | (81) all_80_1 = all_80_3 | all_80_1 = all_80_4
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_2, all_80_4,
% 43.29/6.53 | | | | all_80_4, all_105_0, simplifying with (7), (9), (37), (79)
% 43.29/6.53 | | | | gives:
% 43.29/6.53 | | | | (82) all_80_2 = all_80_4
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | BETA: splitting (80) gives:
% 43.29/6.53 | | | |
% 43.29/6.53 | | | | Case 1:
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | (83) all_80_1 = all_80_3
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | REDUCE: (52), (83) imply:
% 43.29/6.53 | | | | | (84) $false
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | CLOSE: (84) is inconsistent.
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | Case 2:
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | (85) all_80_2 = all_80_3
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | COMBINE_EQS: (82), (85) imply:
% 43.29/6.53 | | | | | (86) all_80_3 = all_80_4
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | SIMP: (86) implies:
% 43.29/6.53 | | | | | (87) all_80_3 = all_80_4
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | REDUCE: (52), (87) imply:
% 43.29/6.53 | | | | | (88) ~ (all_80_1 = all_80_4)
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | BETA: splitting (81) gives:
% 43.29/6.53 | | | | |
% 43.29/6.53 | | | | | Case 1:
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | | (89) all_80_1 = all_80_3
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | | COMBINE_EQS: (87), (89) imply:
% 43.29/6.53 | | | | | | (90) all_80_1 = all_80_4
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | | REDUCE: (88), (90) imply:
% 43.29/6.53 | | | | | | (91) $false
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | | CLOSE: (91) is inconsistent.
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | Case 2:
% 43.29/6.53 | | | | | |
% 43.29/6.53 | | | | | | (92) all_80_1 = all_80_4
% 43.29/6.54 | | | | | |
% 43.29/6.54 | | | | | | REDUCE: (88), (92) imply:
% 43.29/6.54 | | | | | | (93) $false
% 43.29/6.54 | | | | | |
% 43.29/6.54 | | | | | | CLOSE: (93) is inconsistent.
% 43.29/6.54 | | | | | |
% 43.29/6.54 | | | | | End of split
% 43.29/6.54 | | | | |
% 43.29/6.54 | | | | End of split
% 43.29/6.54 | | | |
% 43.29/6.54 | | | Case 2:
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | (94) all_107_0 = all_105_1
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | REDUCE: (76), (94) imply:
% 43.29/6.54 | | | | (95) $false
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | CLOSE: (95) is inconsistent.
% 43.29/6.54 | | | |
% 43.29/6.54 | | | End of split
% 43.29/6.54 | | |
% 43.29/6.54 | | End of split
% 43.29/6.54 | |
% 43.29/6.54 | Case 2:
% 43.29/6.54 | |
% 43.29/6.54 | | (96) all_80_1 = all_80_3
% 43.29/6.54 | | (97) ~ (all_80_2 = all_80_4)
% 43.29/6.54 | |
% 43.29/6.54 | | BETA: splitting (43) gives:
% 43.29/6.54 | |
% 43.29/6.54 | | Case 1:
% 43.29/6.54 | | |
% 43.29/6.54 | | | (98) all_107_0 = all_105_1
% 43.29/6.54 | | |
% 43.29/6.54 | | | REDUCE: (25), (98) imply:
% 43.29/6.54 | | | (99) singleton(all_80_2) = all_105_1
% 43.29/6.54 | | |
% 43.29/6.54 | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_2, all_80_3,
% 43.29/6.54 | | | all_80_4, all_105_1, simplifying with (7), (8), (9), (28),
% 43.29/6.54 | | | (99) gives:
% 43.29/6.54 | | | (100) all_80_2 = all_80_3
% 43.29/6.54 | | |
% 43.29/6.54 | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_2, all_80_4,
% 43.29/6.54 | | | all_80_3, all_105_1, simplifying with (7), (8), (9), (18),
% 43.29/6.54 | | | (99) gives:
% 43.29/6.54 | | | (101) all_80_2 = all_80_4
% 43.29/6.54 | | |
% 43.29/6.54 | | | COMBINE_EQS: (100), (101) imply:
% 43.29/6.54 | | | (102) all_80_3 = all_80_4
% 43.29/6.54 | | |
% 43.29/6.54 | | | REDUCE: (97), (101) imply:
% 43.29/6.54 | | | (103) $false
% 43.29/6.54 | | |
% 43.29/6.54 | | | CLOSE: (103) is inconsistent.
% 43.29/6.54 | | |
% 43.29/6.54 | | Case 2:
% 43.29/6.54 | | |
% 43.29/6.54 | | | (104) ~ (all_107_0 = all_105_1)
% 43.29/6.54 | | |
% 43.29/6.54 | | | BETA: splitting (45) gives:
% 43.29/6.54 | | |
% 43.29/6.54 | | | Case 1:
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | (105) all_107_0 = all_105_0
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | REDUCE: (25), (105) imply:
% 43.29/6.54 | | | | (106) singleton(all_80_2) = all_105_0
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | GROUND_INST: instantiating (t8_zfmisc_1) with all_80_2, all_80_4,
% 43.29/6.54 | | | | all_80_4, all_105_0, simplifying with (7), (9), (37), (106)
% 43.29/6.54 | | | | gives:
% 43.29/6.54 | | | | (107) all_80_2 = all_80_4
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | REDUCE: (97), (107) imply:
% 43.29/6.54 | | | | (108) $false
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | CLOSE: (108) is inconsistent.
% 43.29/6.54 | | | |
% 43.29/6.54 | | | Case 2:
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | (109) all_107_0 = all_105_1
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | REDUCE: (104), (109) imply:
% 43.29/6.54 | | | | (110) $false
% 43.29/6.54 | | | |
% 43.29/6.54 | | | | CLOSE: (110) is inconsistent.
% 43.29/6.54 | | | |
% 43.29/6.54 | | | End of split
% 43.29/6.54 | | |
% 43.29/6.54 | | End of split
% 43.29/6.54 | |
% 43.29/6.54 | End of split
% 43.29/6.54 |
% 43.29/6.54 End of proof
% 43.29/6.54 % SZS output end Proof for theBenchmark
% 43.29/6.54
% 43.29/6.54 5939ms
%------------------------------------------------------------------------------