TSTP Solution File: SWV221+1 by Princess---230619
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%------------------------------------------------------------------------------
% File : Princess---230619
% Problem : SWV221+1 : TPTP v8.1.2. Bugfixed 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 22:55:24 EDT 2023
% Result : Theorem 14.77s 2.68s
% Output : Proof 19.22s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWV221+1 : TPTP v8.1.2. Bugfixed v3.3.0.
% 0.04/0.13 % 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 : Tue Aug 29 08:06:55 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.60 ________ _____
% 0.19/0.60 ___ __ \_________(_)________________________________
% 0.19/0.60 __ /_/ /_ ___/_ /__ __ \ ___/ _ \_ ___/_ ___/
% 0.19/0.60 _ ____/_ / _ / _ / / / /__ / __/(__ )_(__ )
% 0.19/0.60 /_/ /_/ /_/ /_/ /_/\___/ \___//____/ /____/
% 0.19/0.60
% 0.19/0.60 A Theorem Prover for First-Order Logic modulo Linear Integer Arithmetic
% 0.19/0.60 (2023-06-19)
% 0.19/0.60
% 0.19/0.60 (c) Philipp Rümmer, 2009-2023
% 0.19/0.60 Contributors: Peter Backeman, Peter Baumgartner, Angelo Brillout, Zafer Esen,
% 0.19/0.60 Amanda Stjerna.
% 0.19/0.60 Free software under BSD-3-Clause.
% 0.19/0.60
% 0.19/0.60 For more information, visit http://www.philipp.ruemmer.org/princess.shtml
% 0.19/0.60
% 0.19/0.60 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.64/0.61 Running up to 7 provers in parallel.
% 0.64/0.62 Prover 0: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1042961893
% 0.64/0.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1571432423
% 0.64/0.62 Prover 2: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMinimalAndEmpty -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1065072994
% 0.64/0.62 Prover 3: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=1922548996
% 0.64/0.62 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=1868514696
% 0.64/0.62 Prover 5: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -realRatSaturationRounds=1 -ignoreQuantifiers -constructProofs=never -generateTriggers=complete -randomSeed=1259561288
% 0.64/0.63 Prover 6: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=none +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximalOutermost -realRatSaturationRounds=0 -ignoreQuantifiers -constructProofs=never -generateTriggers=all -randomSeed=-1399714365
% 4.48/1.30 Prover 4: Preprocessing ...
% 4.48/1.30 Prover 1: Preprocessing ...
% 4.86/1.34 Prover 3: Preprocessing ...
% 4.86/1.34 Prover 2: Preprocessing ...
% 4.86/1.34 Prover 5: Preprocessing ...
% 4.86/1.34 Prover 0: Preprocessing ...
% 4.86/1.34 Prover 6: Preprocessing ...
% 11.58/2.26 Prover 1: Warning: ignoring some quantifiers
% 11.58/2.29 Prover 3: Warning: ignoring some quantifiers
% 11.58/2.31 Prover 4: Warning: ignoring some quantifiers
% 12.25/2.32 Prover 6: Proving ...
% 12.25/2.33 Prover 3: Constructing countermodel ...
% 12.25/2.33 Prover 1: Constructing countermodel ...
% 12.25/2.38 Prover 4: Constructing countermodel ...
% 12.73/2.46 Prover 0: Proving ...
% 12.73/2.47 Prover 5: Proving ...
% 14.04/2.57 Prover 2: Proving ...
% 14.77/2.68 Prover 3: proved (2056ms)
% 14.77/2.68
% 14.77/2.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 14.77/2.68
% 14.77/2.68 Prover 2: stopped
% 14.77/2.68 Prover 6: stopped
% 14.77/2.68 Prover 5: stopped
% 14.77/2.69 Prover 0: stopped
% 14.77/2.70 Prover 7: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-236303470
% 14.77/2.70 Prover 8: Options: +triggersInConjecture +genTotalityAxioms -tightFunctionScopes -clausifier=none -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-200781089
% 14.77/2.70 Prover 10: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=919308125
% 14.77/2.70 Prover 11: Options: +triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -realRatSaturationRounds=1 +ignoreQuantifiers -constructProofs=always -generateTriggers=all -randomSeed=-1509710984
% 14.77/2.71 Prover 13: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -realRatSaturationRounds=0 +ignoreQuantifiers -constructProofs=always -generateTriggers=complete -randomSeed=1138197443
% 16.37/2.93 Prover 10: Preprocessing ...
% 16.89/2.95 Prover 7: Preprocessing ...
% 16.89/2.95 Prover 1: Found proof (size 30)
% 16.89/2.95 Prover 1: proved (2335ms)
% 16.89/2.96 Prover 4: stopped
% 17.10/2.97 Prover 11: Preprocessing ...
% 17.10/2.99 Prover 8: Preprocessing ...
% 17.10/2.99 Prover 13: Preprocessing ...
% 17.10/3.03 Prover 10: stopped
% 17.10/3.04 Prover 7: stopped
% 18.10/3.12 Prover 11: stopped
% 18.10/3.13 Prover 13: stopped
% 18.47/3.20 Prover 8: Warning: ignoring some quantifiers
% 18.47/3.21 Prover 8: Constructing countermodel ...
% 18.47/3.23 Prover 8: stopped
% 18.47/3.23
% 18.47/3.23 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 18.47/3.23
% 18.47/3.24 % SZS output start Proof for theBenchmark
% 18.47/3.24 Assumptions after simplification:
% 18.47/3.24 ---------------------------------
% 18.47/3.24
% 18.47/3.24 (quaternion_ds1_symm_0401)
% 18.92/3.28 $i(id_ds1_filter) & $i(pminus_ds1_filter) & $i(r_ds1_filter) &
% 18.92/3.28 $i(q_ds1_filter) & $i(pv58) & $i(n998) & $i(pv57) & $i(pv5) & $i(n5) & $i(n2)
% 18.92/3.28 & $i(n0) & ? [v0: $i] : (pred(pv57) = v0 & leq(pv58, n5) = 0 & leq(pv57, n5)
% 18.92/3.28 = 0 & leq(pv5, n998) = 0 & leq(n0, pv57) = 0 & leq(n0, pv5) = 0 & gt(pv58,
% 18.92/3.28 pv57) = 0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 18.92/3.28 (a_select3(pminus_ds1_filter, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ?
% 18.92/3.28 [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8: $i] :
% 18.92/3.28 (a_select3(pminus_ds1_filter, v2, v1) = v8 & leq(v2, n5) = v7 & leq(v1,
% 18.92/3.28 n5) = v6 & leq(n0, v2) = v5 & leq(n0, v1) = v4 & $i(v8) & ( ~ (v7 = 0)
% 18.92/3.28 | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = v3))) & ! [v1: $i] :
% 18.92/3.28 ! [v2: $i] : ! [v3: $i] : ( ~ (a_select3(r_ds1_filter, v1, v2) = v3) | ~
% 18.92/3.28 $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 18.92/3.28 any] : ? [v8: $i] : (a_select3(r_ds1_filter, v2, v1) = v8 & leq(v2, n2)
% 18.92/3.28 = v7 & leq(v1, n2) = v6 & leq(n0, v2) = v5 & leq(n0, v1) = v4 & $i(v8) &
% 18.92/3.28 ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 = v3))) & !
% 18.92/3.28 [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~ (a_select3(q_ds1_filter, v1, v2)
% 18.92/3.28 = v3) | ~ $i(v2) | ~ $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6:
% 18.92/3.28 any] : ? [v7: any] : ? [v8: $i] : (a_select3(q_ds1_filter, v2, v1) =
% 18.92/3.28 v8 & leq(v2, n5) = v7 & leq(v1, n5) = v6 & leq(n0, v2) = v5 & leq(n0,
% 18.92/3.28 v1) = v4 & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4
% 18.92/3.28 = 0) | v8 = v3))) & ! [v1: $i] : ! [v2: $i] : ( ~ (leq(v2, n5) =
% 18.92/3.28 0) | ~ (gt(pv57, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v3: any] : ?
% 18.92/3.28 [v4: any] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 18.92/3.28 (a_select3(id_ds1_filter, v2, v1) = v7 & a_select3(id_ds1_filter, v1, v2)
% 18.92/3.28 = v6 & leq(v1, n5) = v5 & leq(n0, v2) = v4 & leq(n0, v1) = v3 & $i(v7) &
% 18.92/3.28 $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v6))) & ! [v1:
% 18.92/3.28 $i] : ( ~ (leq(v1, v0) = 0) | ~ $i(v1) | ? [v2: int] : ( ~ (v2 = 0) &
% 18.92/3.28 leq(n0, v1) = v2) | ! [v2: $i] : ! [v3: $i] : ( ~
% 18.92/3.28 (a_select3(id_ds1_filter, v1, v2) = v3) | ~ $i(v2) | ? [v4: any] : ?
% 18.92/3.28 [v5: any] : ? [v6: $i] : (a_select3(id_ds1_filter, v2, v1) = v6 &
% 18.92/3.28 leq(v2, n5) = v5 & leq(n0, v2) = v4 & $i(v6) & ( ~ (v5 = 0) | ~ (v4 =
% 18.92/3.28 0) | v6 = v3)))) & ! [v1: $i] : ( ~ (gt(pv58, v1) = 0) | ~
% 18.92/3.28 $i(v1) | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] :
% 18.92/3.28 (a_select3(id_ds1_filter, v1, pv57) = v5 & a_select3(id_ds1_filter, pv57,
% 18.92/3.28 v1) = v4 & leq(v1, n5) = v3 & leq(n0, v1) = v2 & $i(v5) & $i(v4) & ( ~
% 18.92/3.28 (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ? [v1: $i] : (leq(v1, v0) = 0 &
% 18.92/3.28 leq(n0, v1) = 0 & $i(v1) & ? [v2: $i] : ? [v3: $i] : ? [v4: $i] : ( ~
% 18.92/3.28 (v4 = v3) & ~ (v1 = pv57) & a_select3(id_ds1_filter, v2, v1) = v4 &
% 18.92/3.28 a_select3(id_ds1_filter, v1, v2) = v3 & leq(v2, n5) = 0 & leq(n0, v2) =
% 18.92/3.28 0 & $i(v4) & $i(v3) & $i(v2))))
% 18.92/3.28
% 18.92/3.28 (function-axioms)
% 18.92/3.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] : ! [v5:
% 18.92/3.29 $i] : (v1 = v0 | ~ (tptp_update3(v5, v4, v3, v2) = v1) | ~
% 18.92/3.29 (tptp_update3(v5, v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 18.92/3.29 $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_update2(v4, v3, v2) =
% 18.92/3.29 v1) | ~ (tptp_update2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 18.92/3.29 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (sum(v4, v3, v2) = v1) |
% 18.92/3.29 ~ (sum(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : !
% 18.92/3.29 [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (tptp_const_array2(v4, v3, v2) = v1) |
% 18.92/3.29 ~ (tptp_const_array2(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 18.92/3.29 [v2: $i] : ! [v3: $i] : ! [v4: $i] : (v1 = v0 | ~ (a_select3(v4, v3, v2) =
% 18.92/3.29 v1) | ~ (a_select3(v4, v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : !
% 18.92/3.29 [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (minus(v3, v2) = v1) | ~ (minus(v3,
% 18.92/3.29 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 18.92/3.29 = v0 | ~ (plus(v3, v2) = v1) | ~ (plus(v3, v2) = v0)) & ! [v0: $i] : !
% 18.92/3.29 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (tptp_mmul(v3, v2) = v1)
% 19.06/3.29 | ~ (tptp_mmul(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 19.06/3.29 ! [v3: $i] : (v1 = v0 | ~ (tptp_msub(v3, v2) = v1) | ~ (tptp_msub(v3, v2) =
% 19.06/3.29 v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 |
% 19.06/3.29 ~ (tptp_madd(v3, v2) = v1) | ~ (tptp_madd(v3, v2) = v0)) & ! [v0: $i] : !
% 19.06/3.29 [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~ (dim(v3, v2) = v1) | ~
% 19.06/3.29 (dim(v3, v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 19.06/3.29 : (v1 = v0 | ~ (tptp_const_array1(v3, v2) = v1) | ~ (tptp_const_array1(v3,
% 19.06/3.29 v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1
% 19.06/3.29 = v0 | ~ (a_select2(v3, v2) = v1) | ~ (a_select2(v3, v2) = v0)) & ! [v0:
% 19.06/3.29 $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : (v1 = v0 | ~
% 19.06/3.29 (uniform_int_rnd(v3, v2) = v1) | ~ (uniform_int_rnd(v3, v2) = v0)) & !
% 19.06/3.29 [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3:
% 19.06/3.29 $i] : (v1 = v0 | ~ (geq(v3, v2) = v1) | ~ (geq(v3, v2) = v0)) & ! [v0:
% 19.06/3.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 19.06/3.29 : (v1 = v0 | ~ (lt(v3, v2) = v1) | ~ (lt(v3, v2) = v0)) & ! [v0:
% 19.06/3.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 19.06/3.29 : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0)) & ! [v0:
% 19.06/3.29 MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] : ! [v3: $i]
% 19.06/3.29 : (v1 = v0 | ~ (gt(v3, v2) = v1) | ~ (gt(v3, v2) = v0)) & ! [v0: $i] : !
% 19.06/3.29 [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (inv(v2) = v1) | ~ (inv(v2) = v0)) &
% 19.06/3.29 ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~ (trans(v2) = v1) | ~
% 19.06/3.29 (trans(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : (v1 = v0 | ~
% 19.06/3.29 (succ(v2) = v1) | ~ (succ(v2) = v0)) & ! [v0: $i] : ! [v1: $i] : ! [v2:
% 19.06/3.29 $i] : (v1 = v0 | ~ (pred(v2) = v1) | ~ (pred(v2) = v0))
% 19.06/3.29
% 19.06/3.29 Further assumptions not needed in the proof:
% 19.06/3.29 --------------------------------------------
% 19.06/3.29 const_array1_select, const_array2_select, defuse, finite_domain_0,
% 19.06/3.29 finite_domain_1, finite_domain_2, finite_domain_3, finite_domain_4,
% 19.06/3.29 finite_domain_5, gt_0_tptp_minus_1, gt_1_0, gt_1_tptp_minus_1, gt_2_0, gt_2_1,
% 19.06/3.29 gt_2_tptp_minus_1, gt_3_0, gt_3_1, gt_3_2, gt_3_tptp_minus_1, gt_4_0, gt_4_1,
% 19.06/3.29 gt_4_2, gt_4_3, gt_4_tptp_minus_1, gt_5_0, gt_5_1, gt_5_2, gt_5_3, gt_5_4,
% 19.06/3.29 gt_5_tptp_minus_1, gt_998_0, gt_998_1, gt_998_2, gt_998_3, gt_998_4, gt_998_5,
% 19.06/3.29 gt_998_tptp_minus_1, gt_succ, irreflexivity_gt, leq_geq, leq_gt1, leq_gt2,
% 19.06/3.29 leq_gt_pred, leq_minus, leq_succ, leq_succ_gt, leq_succ_gt_equiv, leq_succ_succ,
% 19.06/3.29 lt_gt, matrix_symm_aba1, matrix_symm_aba2, matrix_symm_add, matrix_symm_inv,
% 19.06/3.29 matrix_symm_joseph_update, matrix_symm_sub, matrix_symm_trans,
% 19.06/3.29 matrix_symm_update_diagonal, pred_minus_1, pred_succ, reflexivity_leq,
% 19.06/3.29 sel2_update_1, sel2_update_2, sel2_update_3, sel3_update_1, sel3_update_2,
% 19.06/3.29 sel3_update_3, succ_plus_1_l, succ_plus_1_r, succ_plus_2_l, succ_plus_2_r,
% 19.06/3.29 succ_plus_3_l, succ_plus_3_r, succ_plus_4_l, succ_plus_4_r, succ_plus_5_l,
% 19.06/3.29 succ_plus_5_r, succ_pred, succ_tptp_minus_1, successor_1, successor_2,
% 19.06/3.29 successor_3, successor_4, successor_5, sum_plus_base, sum_plus_base_float,
% 19.06/3.29 totality, transitivity_gt, transitivity_leq, ttrue, uniform_int_rand_ranges_hi,
% 19.06/3.29 uniform_int_rand_ranges_lo
% 19.06/3.29
% 19.06/3.29 Those formulas are unsatisfiable:
% 19.06/3.29 ---------------------------------
% 19.06/3.29
% 19.06/3.29 Begin of proof
% 19.06/3.29 |
% 19.06/3.30 | ALPHA: (quaternion_ds1_symm_0401) implies:
% 19.06/3.30 | (1) ? [v0: $i] : (pred(pv57) = v0 & leq(pv58, n5) = 0 & leq(pv57, n5) = 0
% 19.06/3.30 | & leq(pv5, n998) = 0 & leq(n0, pv57) = 0 & leq(n0, pv5) = 0 &
% 19.06/3.30 | gt(pv58, pv57) = 0 & $i(v0) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i]
% 19.06/3.30 | : ( ~ (a_select3(pminus_ds1_filter, v1, v2) = v3) | ~ $i(v2) | ~
% 19.06/3.30 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any]
% 19.06/3.30 | : ? [v8: $i] : (a_select3(pminus_ds1_filter, v2, v1) = v8 &
% 19.06/3.30 | leq(v2, n5) = v7 & leq(v1, n5) = v6 & leq(n0, v2) = v5 & leq(n0,
% 19.06/3.30 | v1) = v4 & $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) |
% 19.06/3.30 | ~ (v4 = 0) | v8 = v3))) & ! [v1: $i] : ! [v2: $i] : ! [v3:
% 19.06/3.30 | $i] : ( ~ (a_select3(r_ds1_filter, v1, v2) = v3) | ~ $i(v2) | ~
% 19.06/3.30 | $i(v1) | ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any]
% 19.06/3.30 | : ? [v8: $i] : (a_select3(r_ds1_filter, v2, v1) = v8 & leq(v2, n2)
% 19.06/3.30 | = v7 & leq(v1, n2) = v6 & leq(n0, v2) = v5 & leq(n0, v1) = v4 &
% 19.06/3.30 | $i(v8) & ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) |
% 19.06/3.30 | v8 = v3))) & ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ( ~
% 19.06/3.30 | (a_select3(q_ds1_filter, v1, v2) = v3) | ~ $i(v2) | ~ $i(v1) | ?
% 19.06/3.30 | [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: any] : ? [v8:
% 19.06/3.30 | $i] : (a_select3(q_ds1_filter, v2, v1) = v8 & leq(v2, n5) = v7 &
% 19.06/3.30 | leq(v1, n5) = v6 & leq(n0, v2) = v5 & leq(n0, v1) = v4 & $i(v8) &
% 19.06/3.30 | ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | v8 =
% 19.06/3.30 | v3))) & ! [v1: $i] : ! [v2: $i] : ( ~ (leq(v2, n5) = 0) | ~
% 19.06/3.30 | (gt(pv57, v1) = 0) | ~ $i(v2) | ~ $i(v1) | ? [v3: any] : ? [v4:
% 19.06/3.30 | any] : ? [v5: any] : ? [v6: $i] : ? [v7: $i] :
% 19.06/3.30 | (a_select3(id_ds1_filter, v2, v1) = v7 & a_select3(id_ds1_filter,
% 19.06/3.30 | v1, v2) = v6 & leq(v1, n5) = v5 & leq(n0, v2) = v4 & leq(n0,
% 19.06/3.30 | v1) = v3 & $i(v7) & $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | ~
% 19.06/3.30 | (v3 = 0) | v7 = v6))) & ! [v1: $i] : ( ~ (leq(v1, v0) = 0) |
% 19.06/3.30 | ~ $i(v1) | ? [v2: int] : ( ~ (v2 = 0) & leq(n0, v1) = v2) | !
% 19.06/3.30 | [v2: $i] : ! [v3: $i] : ( ~ (a_select3(id_ds1_filter, v1, v2) =
% 19.06/3.30 | v3) | ~ $i(v2) | ? [v4: any] : ? [v5: any] : ? [v6: $i] :
% 19.06/3.30 | (a_select3(id_ds1_filter, v2, v1) = v6 & leq(v2, n5) = v5 &
% 19.06/3.30 | leq(n0, v2) = v4 & $i(v6) & ( ~ (v5 = 0) | ~ (v4 = 0) | v6 =
% 19.06/3.30 | v3)))) & ! [v1: $i] : ( ~ (gt(pv58, v1) = 0) | ~ $i(v1) |
% 19.06/3.30 | ? [v2: any] : ? [v3: any] : ? [v4: $i] : ? [v5: $i] :
% 19.06/3.30 | (a_select3(id_ds1_filter, v1, pv57) = v5 & a_select3(id_ds1_filter,
% 19.06/3.30 | pv57, v1) = v4 & leq(v1, n5) = v3 & leq(n0, v1) = v2 & $i(v5) &
% 19.06/3.30 | $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v5 = v4))) & ? [v1: $i] :
% 19.06/3.30 | (leq(v1, v0) = 0 & leq(n0, v1) = 0 & $i(v1) & ? [v2: $i] : ? [v3:
% 19.06/3.30 | $i] : ? [v4: $i] : ( ~ (v4 = v3) & ~ (v1 = pv57) &
% 19.06/3.30 | a_select3(id_ds1_filter, v2, v1) = v4 & a_select3(id_ds1_filter,
% 19.06/3.30 | v1, v2) = v3 & leq(v2, n5) = 0 & leq(n0, v2) = 0 & $i(v4) &
% 19.06/3.30 | $i(v3) & $i(v2))))
% 19.06/3.30 |
% 19.06/3.30 | ALPHA: (function-axioms) implies:
% 19.06/3.30 | (2) ! [v0: MultipleValueBool] : ! [v1: MultipleValueBool] : ! [v2: $i] :
% 19.06/3.30 | ! [v3: $i] : (v1 = v0 | ~ (leq(v3, v2) = v1) | ~ (leq(v3, v2) = v0))
% 19.06/3.31 | (3) ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ! [v3: $i] : ! [v4: $i] :
% 19.06/3.31 | (v1 = v0 | ~ (a_select3(v4, v3, v2) = v1) | ~ (a_select3(v4, v3, v2)
% 19.06/3.31 | = v0))
% 19.06/3.31 |
% 19.06/3.31 | DELTA: instantiating (1) with fresh symbol all_76_0 gives:
% 19.06/3.31 | (4) pred(pv57) = all_76_0 & leq(pv58, n5) = 0 & leq(pv57, n5) = 0 &
% 19.06/3.31 | leq(pv5, n998) = 0 & leq(n0, pv57) = 0 & leq(n0, pv5) = 0 & gt(pv58,
% 19.06/3.31 | pv57) = 0 & $i(all_76_0) & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] :
% 19.06/3.31 | ( ~ (a_select3(pminus_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0)
% 19.06/3.31 | | ? [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7:
% 19.06/3.31 | $i] : (a_select3(pminus_ds1_filter, v1, v0) = v7 & leq(v1, n5) = v6
% 19.06/3.31 | & leq(v0, n5) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & $i(v7) &
% 19.06/3.31 | ( ~ (v6 = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2)))
% 19.06/3.31 | & ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~
% 19.06/3.31 | (a_select3(r_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ?
% 19.06/3.31 | [v3: any] : ? [v4: any] : ? [v5: any] : ? [v6: any] : ? [v7: $i]
% 19.06/3.31 | : (a_select3(r_ds1_filter, v1, v0) = v7 & leq(v1, n2) = v6 & leq(v0,
% 19.06/3.31 | n2) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & $i(v7) & ( ~ (v6
% 19.06/3.31 | = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2))) &
% 19.06/3.31 | ! [v0: $i] : ! [v1: $i] : ! [v2: $i] : ( ~ (a_select3(q_ds1_filter,
% 19.06/3.31 | v0, v1) = v2) | ~ $i(v1) | ~ $i(v0) | ? [v3: any] : ? [v4:
% 19.06/3.31 | any] : ? [v5: any] : ? [v6: any] : ? [v7: $i] :
% 19.06/3.31 | (a_select3(q_ds1_filter, v1, v0) = v7 & leq(v1, n5) = v6 & leq(v0,
% 19.06/3.31 | n5) = v5 & leq(n0, v1) = v4 & leq(n0, v0) = v3 & $i(v7) & ( ~ (v6
% 19.06/3.31 | = 0) | ~ (v5 = 0) | ~ (v4 = 0) | ~ (v3 = 0) | v7 = v2))) &
% 19.06/3.31 | ! [v0: $i] : ! [v1: $i] : ( ~ (leq(v1, n5) = 0) | ~ (gt(pv57, v0) =
% 19.06/3.31 | 0) | ~ $i(v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4:
% 19.06/3.31 | any] : ? [v5: $i] : ? [v6: $i] : (a_select3(id_ds1_filter, v1,
% 19.06/3.31 | v0) = v6 & a_select3(id_ds1_filter, v0, v1) = v5 & leq(v0, n5) =
% 19.06/3.31 | v4 & leq(n0, v1) = v3 & leq(n0, v0) = v2 & $i(v6) & $i(v5) & ( ~
% 19.06/3.31 | (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v6 = v5))) & ! [v0: $i] :
% 19.06/3.31 | ( ~ (leq(v0, all_76_0) = 0) | ~ $i(v0) | ? [v1: int] : ( ~ (v1 = 0) &
% 19.06/3.31 | leq(n0, v0) = v1) | ! [v1: $i] : ! [v2: $i] : ( ~
% 19.06/3.31 | (a_select3(id_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ? [v3: any]
% 19.06/3.31 | : ? [v4: any] : ? [v5: $i] : (a_select3(id_ds1_filter, v1, v0) =
% 19.06/3.31 | v5 & leq(v1, n5) = v4 & leq(n0, v1) = v3 & $i(v5) & ( ~ (v4 = 0)
% 19.06/3.31 | | ~ (v3 = 0) | v5 = v2)))) & ! [v0: $i] : ( ~ (gt(pv58, v0) =
% 19.06/3.31 | 0) | ~ $i(v0) | ? [v1: any] : ? [v2: any] : ? [v3: $i] : ?
% 19.06/3.31 | [v4: $i] : (a_select3(id_ds1_filter, v0, pv57) = v4 &
% 19.06/3.31 | a_select3(id_ds1_filter, pv57, v0) = v3 & leq(v0, n5) = v2 &
% 19.06/3.31 | leq(n0, v0) = v1 & $i(v4) & $i(v3) & ( ~ (v2 = 0) | ~ (v1 = 0) |
% 19.06/3.31 | v4 = v3))) & ? [v0: $i] : (leq(v0, all_76_0) = 0 & leq(n0, v0) =
% 19.06/3.31 | 0 & $i(v0) & ? [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2)
% 19.06/3.31 | & ~ (v0 = pv57) & a_select3(id_ds1_filter, v1, v0) = v3 &
% 19.06/3.31 | a_select3(id_ds1_filter, v0, v1) = v2 & leq(v1, n5) = 0 & leq(n0,
% 19.06/3.31 | v1) = 0 & $i(v3) & $i(v2) & $i(v1)))
% 19.06/3.31 |
% 19.06/3.31 | ALPHA: (4) implies:
% 19.06/3.32 | (5) ! [v0: $i] : ( ~ (leq(v0, all_76_0) = 0) | ~ $i(v0) | ? [v1: int] :
% 19.06/3.32 | ( ~ (v1 = 0) & leq(n0, v0) = v1) | ! [v1: $i] : ! [v2: $i] : ( ~
% 19.06/3.32 | (a_select3(id_ds1_filter, v0, v1) = v2) | ~ $i(v1) | ? [v3: any]
% 19.06/3.32 | : ? [v4: any] : ? [v5: $i] : (a_select3(id_ds1_filter, v1, v0) =
% 19.06/3.32 | v5 & leq(v1, n5) = v4 & leq(n0, v1) = v3 & $i(v5) & ( ~ (v4 = 0)
% 19.06/3.32 | | ~ (v3 = 0) | v5 = v2))))
% 19.06/3.32 | (6) ? [v0: $i] : (leq(v0, all_76_0) = 0 & leq(n0, v0) = 0 & $i(v0) & ?
% 19.06/3.32 | [v1: $i] : ? [v2: $i] : ? [v3: $i] : ( ~ (v3 = v2) & ~ (v0 = pv57)
% 19.06/3.32 | & a_select3(id_ds1_filter, v1, v0) = v3 & a_select3(id_ds1_filter,
% 19.06/3.32 | v0, v1) = v2 & leq(v1, n5) = 0 & leq(n0, v1) = 0 & $i(v3) &
% 19.06/3.32 | $i(v2) & $i(v1)))
% 19.06/3.32 |
% 19.06/3.32 | DELTA: instantiating (6) with fresh symbol all_79_0 gives:
% 19.06/3.32 | (7) leq(all_79_0, all_76_0) = 0 & leq(n0, all_79_0) = 0 & $i(all_79_0) & ?
% 19.06/3.32 | [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) & ~ (all_79_0 =
% 19.06/3.32 | pv57) & a_select3(id_ds1_filter, v0, all_79_0) = v2 &
% 19.06/3.32 | a_select3(id_ds1_filter, all_79_0, v0) = v1 & leq(v0, n5) = 0 &
% 19.06/3.32 | leq(n0, v0) = 0 & $i(v2) & $i(v1) & $i(v0))
% 19.06/3.32 |
% 19.06/3.32 | ALPHA: (7) implies:
% 19.06/3.32 | (8) $i(all_79_0)
% 19.06/3.32 | (9) leq(n0, all_79_0) = 0
% 19.06/3.32 | (10) leq(all_79_0, all_76_0) = 0
% 19.06/3.32 | (11) ? [v0: $i] : ? [v1: $i] : ? [v2: $i] : ( ~ (v2 = v1) & ~ (all_79_0
% 19.06/3.32 | = pv57) & a_select3(id_ds1_filter, v0, all_79_0) = v2 &
% 19.06/3.32 | a_select3(id_ds1_filter, all_79_0, v0) = v1 & leq(v0, n5) = 0 &
% 19.06/3.32 | leq(n0, v0) = 0 & $i(v2) & $i(v1) & $i(v0))
% 19.06/3.32 |
% 19.06/3.32 | DELTA: instantiating (11) with fresh symbols all_81_0, all_81_1, all_81_2
% 19.06/3.32 | gives:
% 19.06/3.32 | (12) ~ (all_81_0 = all_81_1) & ~ (all_79_0 = pv57) &
% 19.06/3.32 | a_select3(id_ds1_filter, all_81_2, all_79_0) = all_81_0 &
% 19.06/3.32 | a_select3(id_ds1_filter, all_79_0, all_81_2) = all_81_1 &
% 19.06/3.32 | leq(all_81_2, n5) = 0 & leq(n0, all_81_2) = 0 & $i(all_81_0) &
% 19.06/3.32 | $i(all_81_1) & $i(all_81_2)
% 19.06/3.32 |
% 19.06/3.32 | ALPHA: (12) implies:
% 19.06/3.32 | (13) ~ (all_81_0 = all_81_1)
% 19.06/3.32 | (14) $i(all_81_2)
% 19.06/3.32 | (15) leq(n0, all_81_2) = 0
% 19.06/3.32 | (16) leq(all_81_2, n5) = 0
% 19.06/3.32 | (17) a_select3(id_ds1_filter, all_79_0, all_81_2) = all_81_1
% 19.06/3.32 | (18) a_select3(id_ds1_filter, all_81_2, all_79_0) = all_81_0
% 19.06/3.32 |
% 19.21/3.32 | GROUND_INST: instantiating (5) with all_79_0, simplifying with (8), (10)
% 19.21/3.32 | gives:
% 19.21/3.32 | (19) ? [v0: int] : ( ~ (v0 = 0) & leq(n0, all_79_0) = v0) | ! [v0: $i] :
% 19.21/3.32 | ! [v1: $i] : ( ~ (a_select3(id_ds1_filter, all_79_0, v0) = v1) | ~
% 19.21/3.32 | $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4: $i] :
% 19.21/3.32 | (a_select3(id_ds1_filter, v0, all_79_0) = v4 & leq(v0, n5) = v3 &
% 19.21/3.32 | leq(n0, v0) = v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) | v4 =
% 19.21/3.32 | v1)))
% 19.21/3.32 |
% 19.21/3.32 | BETA: splitting (19) gives:
% 19.21/3.32 |
% 19.21/3.32 | Case 1:
% 19.21/3.32 | |
% 19.21/3.32 | | (20) ? [v0: int] : ( ~ (v0 = 0) & leq(n0, all_79_0) = v0)
% 19.21/3.32 | |
% 19.21/3.32 | | DELTA: instantiating (20) with fresh symbol all_110_0 gives:
% 19.21/3.32 | | (21) ~ (all_110_0 = 0) & leq(n0, all_79_0) = all_110_0
% 19.21/3.32 | |
% 19.21/3.32 | | ALPHA: (21) implies:
% 19.21/3.32 | | (22) ~ (all_110_0 = 0)
% 19.21/3.33 | | (23) leq(n0, all_79_0) = all_110_0
% 19.21/3.33 | |
% 19.21/3.33 | | GROUND_INST: instantiating (2) with 0, all_110_0, all_79_0, n0, simplifying
% 19.21/3.33 | | with (9), (23) gives:
% 19.21/3.33 | | (24) all_110_0 = 0
% 19.21/3.33 | |
% 19.22/3.33 | | REDUCE: (22), (24) imply:
% 19.22/3.33 | | (25) $false
% 19.22/3.33 | |
% 19.22/3.33 | | CLOSE: (25) is inconsistent.
% 19.22/3.33 | |
% 19.22/3.33 | Case 2:
% 19.22/3.33 | |
% 19.22/3.33 | | (26) ! [v0: $i] : ! [v1: $i] : ( ~ (a_select3(id_ds1_filter, all_79_0,
% 19.22/3.33 | | v0) = v1) | ~ $i(v0) | ? [v2: any] : ? [v3: any] : ? [v4:
% 19.22/3.33 | | $i] : (a_select3(id_ds1_filter, v0, all_79_0) = v4 & leq(v0, n5)
% 19.22/3.33 | | = v3 & leq(n0, v0) = v2 & $i(v4) & ( ~ (v3 = 0) | ~ (v2 = 0) |
% 19.22/3.33 | | v4 = v1)))
% 19.22/3.33 | |
% 19.22/3.33 | | GROUND_INST: instantiating (26) with all_81_2, all_81_1, simplifying with
% 19.22/3.33 | | (14), (17) gives:
% 19.22/3.33 | | (27) ? [v0: any] : ? [v1: any] : ? [v2: $i] :
% 19.22/3.33 | | (a_select3(id_ds1_filter, all_81_2, all_79_0) = v2 & leq(all_81_2,
% 19.22/3.33 | | n5) = v1 & leq(n0, all_81_2) = v0 & $i(v2) & ( ~ (v1 = 0) | ~
% 19.22/3.33 | | (v0 = 0) | v2 = all_81_1))
% 19.22/3.33 | |
% 19.22/3.33 | | DELTA: instantiating (27) with fresh symbols all_111_0, all_111_1, all_111_2
% 19.22/3.33 | | gives:
% 19.22/3.33 | | (28) a_select3(id_ds1_filter, all_81_2, all_79_0) = all_111_0 &
% 19.22/3.33 | | leq(all_81_2, n5) = all_111_1 & leq(n0, all_81_2) = all_111_2 &
% 19.22/3.33 | | $i(all_111_0) & ( ~ (all_111_1 = 0) | ~ (all_111_2 = 0) | all_111_0
% 19.22/3.33 | | = all_81_1)
% 19.22/3.33 | |
% 19.22/3.33 | | ALPHA: (28) implies:
% 19.22/3.33 | | (29) leq(n0, all_81_2) = all_111_2
% 19.22/3.33 | | (30) leq(all_81_2, n5) = all_111_1
% 19.22/3.33 | | (31) a_select3(id_ds1_filter, all_81_2, all_79_0) = all_111_0
% 19.22/3.33 | | (32) ~ (all_111_1 = 0) | ~ (all_111_2 = 0) | all_111_0 = all_81_1
% 19.22/3.33 | |
% 19.22/3.33 | | GROUND_INST: instantiating (2) with 0, all_111_2, all_81_2, n0, simplifying
% 19.22/3.33 | | with (15), (29) gives:
% 19.22/3.33 | | (33) all_111_2 = 0
% 19.22/3.33 | |
% 19.22/3.33 | | GROUND_INST: instantiating (2) with 0, all_111_1, n5, all_81_2, simplifying
% 19.22/3.33 | | with (16), (30) gives:
% 19.22/3.33 | | (34) all_111_1 = 0
% 19.22/3.33 | |
% 19.22/3.33 | | GROUND_INST: instantiating (3) with all_81_0, all_111_0, all_79_0, all_81_2,
% 19.22/3.33 | | id_ds1_filter, simplifying with (18), (31) gives:
% 19.22/3.33 | | (35) all_111_0 = all_81_0
% 19.22/3.33 | |
% 19.22/3.33 | | BETA: splitting (32) gives:
% 19.22/3.33 | |
% 19.22/3.33 | | Case 1:
% 19.22/3.33 | | |
% 19.22/3.33 | | | (36) ~ (all_111_1 = 0)
% 19.22/3.33 | | |
% 19.22/3.33 | | | REDUCE: (34), (36) imply:
% 19.22/3.33 | | | (37) $false
% 19.22/3.33 | | |
% 19.22/3.33 | | | CLOSE: (37) is inconsistent.
% 19.22/3.33 | | |
% 19.22/3.33 | | Case 2:
% 19.22/3.33 | | |
% 19.22/3.33 | | | (38) ~ (all_111_2 = 0) | all_111_0 = all_81_1
% 19.22/3.33 | | |
% 19.22/3.33 | | | BETA: splitting (38) gives:
% 19.22/3.33 | | |
% 19.22/3.33 | | | Case 1:
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | (39) ~ (all_111_2 = 0)
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | REDUCE: (33), (39) imply:
% 19.22/3.33 | | | | (40) $false
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | CLOSE: (40) is inconsistent.
% 19.22/3.33 | | | |
% 19.22/3.33 | | | Case 2:
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | (41) all_111_0 = all_81_1
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | COMBINE_EQS: (35), (41) imply:
% 19.22/3.33 | | | | (42) all_81_0 = all_81_1
% 19.22/3.33 | | | |
% 19.22/3.33 | | | | REDUCE: (13), (42) imply:
% 19.22/3.34 | | | | (43) $false
% 19.22/3.34 | | | |
% 19.22/3.34 | | | | CLOSE: (43) is inconsistent.
% 19.22/3.34 | | | |
% 19.22/3.34 | | | End of split
% 19.22/3.34 | | |
% 19.22/3.34 | | End of split
% 19.22/3.34 | |
% 19.22/3.34 | End of split
% 19.22/3.34 |
% 19.22/3.34 End of proof
% 19.22/3.34 % SZS output end Proof for theBenchmark
% 19.22/3.34
% 19.22/3.34 2735ms
%------------------------------------------------------------------------------