TSTP Solution File: SYN939+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 : 600s
% DateTime : Thu Jul 21 05:05:59 EDT 2022
% Result : Theorem 3.93s 1.66s
% Output : Proof 7.45s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n026.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 : 600
% 0.12/0.34 % DateTime : Tue Jul 12 06:13:57 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.53/0.59 ____ _
% 0.53/0.59 ___ / __ \_____(_)___ ________ __________
% 0.53/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.53/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.53/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.53/0.59
% 0.53/0.59 A Theorem Prover for First-Order Logic
% 0.53/0.59 (ePrincess v.1.0)
% 0.53/0.59
% 0.53/0.59 (c) Philipp Rümmer, 2009-2015
% 0.53/0.59 (c) Peter Backeman, 2014-2015
% 0.53/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.53/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.53/0.59 Bug reports to peter@backeman.se
% 0.53/0.59
% 0.53/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.53/0.59
% 0.53/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.73/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.24/0.85 Prover 0: Preprocessing ...
% 1.30/0.92 Prover 0: Warning: ignoring some quantifiers
% 1.45/0.94 Prover 0: Constructing countermodel ...
% 1.74/1.06 Prover 0: gave up
% 1.74/1.06 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.95/1.08 Prover 1: Preprocessing ...
% 1.95/1.13 Prover 1: Constructing countermodel ...
% 2.17/1.16 Prover 1: gave up
% 2.17/1.16 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.17/1.17 Prover 2: Preprocessing ...
% 2.43/1.24 Prover 2: Warning: ignoring some quantifiers
% 2.43/1.24 Prover 2: Constructing countermodel ...
% 2.47/1.29 Prover 2: gave up
% 2.47/1.29 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.47/1.30 Prover 3: Preprocessing ...
% 2.47/1.31 Prover 3: Warning: ignoring some quantifiers
% 2.47/1.31 Prover 3: Constructing countermodel ...
% 2.73/1.33 Prover 3: gave up
% 2.73/1.33 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.73/1.34 Prover 4: Preprocessing ...
% 2.94/1.39 Prover 4: Warning: ignoring some quantifiers
% 2.94/1.39 Prover 4: Constructing countermodel ...
% 3.93/1.66 Prover 4: proved (322ms)
% 3.93/1.66
% 3.93/1.66 No countermodel exists, formula is valid
% 3.93/1.66 % SZS status Theorem for theBenchmark
% 3.93/1.66
% 3.93/1.66 Generating proof ... Warning: ignoring some quantifiers
% 6.75/2.32 found it (size 254)
% 6.75/2.32
% 6.75/2.32 % SZS output start Proof for theBenchmark
% 6.75/2.32 Assumed formulas after preprocessing and simplification:
% 6.75/2.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (r(v5) = v6 & r(v4) = v7 & r(v1) = v2 & r(v0) = v3 & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v11 = 0 | ~ (p(v10) = v11) | ~ (p(v8) = v12) | ~ (f(v9) = v10) | ? [v13] : ? [v14] : (r(v9) = v13 & q(v8) = v14 & ( ~ (v14 = 0) | (v13 = 0 & ( ~ (v7 = 0) | ~ (v6 = 0)))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (p(v8) = v10) | ~ (r(v9) = v11) | ? [v12] : ? [v13] : ? [v14] : (p(v12) = v13 & f(v9) = v12 & q(v8) = v14 & ( ~ (v14 = 0) | (v13 = 0 & ~ (v10 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = 0 | ~ (p(v8) = v10) | ~ (r(v9) = v11) | ? [v12] : ? [v13] : ? [v14] : (p(v12) = v13 & f(v9) = v12 & q(v8) = v14 & ( ~ (v14 = 0) | (v13 = 0 & ~ (v10 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (p(v10) = v11) | ~ (p(v8) = 0) | ~ (f(v9) = v10) | ? [v12] : ? [v13] : (r(v9) = v12 & q(v8) = v13 & ( ~ (v13 = 0) | (v12 = 0 & ( ~ (v7 = 0) | ~ (v6 = 0)))))) & ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (p(v10) = v11) | ~ (f(v9) = v10) | ~ (q(v8) = 0) | ? [v12] : ? [v13] : (p(v8) = v12 & r(v9) = v13 & ((v13 = 0 & ( ~ (v7 = 0) | ~ (v6 = 0))) | (v11 = 0 & ~ (v12 = 0))))) & ! [v8] : ! [v9] : ! [v10] : ( ~ (v7 = 0) | ~ (v6 = 0) | ~ (r(v9) = v10) | ~ (q(v8) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & p(v11) = 0 & p(v8) = v12 & f(v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (r(v9) = v10) | ~ (q(v8) = 0) | ? [v11] : ? [v12] : ( ~ (v12 = 0) & p(v11) = 0 & p(v8) = v12 & f(v9) = v11)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (p(v10) = v9) | ~ (p(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (r(v10) = v9) | ~ (r(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (f(v10) = v9) | ~ (f(v10) = v8)) & ! [v8] : ! [v9] : ! [v10] : (v9 = v8 | ~ (q(v10) = v9) | ~ (q(v10) = v8)) & ! [v8] : ! [v9] : ( ~ (f(v8) = v9) | q(v9) = 0) & ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (p(v10) = v11 & p(v8) = v12 & r(v9) = v13 & f(v9) = v10 & q(v8) = v14 & ( ~ (v14 = 0) | (v13 = 0 & ( ~ (v3 = 0) | ~ (v2 = 0))) | (v11 = 0 & ~ (v12 = 0)))) & ? [v8] : ? [v9] : (f(v8) = v9 & q(v9) = 0))
% 6.75/2.35 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7 yields:
% 6.75/2.35 | (1) r(all_0_2_2) = all_0_1_1 & r(all_0_3_3) = all_0_0_0 & r(all_0_6_6) = all_0_5_5 & r(all_0_7_7) = all_0_4_4 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (p(v2) = v3) | ~ (p(v0) = v4) | ~ (f(v1) = v2) | ? [v5] : ? [v6] : (r(v1) = v5 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ~ (p(v0) = v2) | ~ (r(v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (p(v4) = v5 & f(v1) = v4 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v0) = v2) | ~ (r(v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (p(v4) = v5 & f(v1) = v4 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ~ (v2 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (p(v2) = v3) | ~ (p(v0) = 0) | ~ (f(v1) = v2) | ? [v4] : ? [v5] : (r(v1) = v4 & q(v0) = v5 & ( ~ (v5 = 0) | (v4 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (p(v2) = v3) | ~ (f(v1) = v2) | ~ (q(v0) = 0) | ? [v4] : ? [v5] : (p(v0) = v4 & r(v1) = v5 & ((v5 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (v3 = 0 & ~ (v4 = 0))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ~ (r(v1) = v2) | ~ (q(v0) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v3) = 0 & p(v0) = v4 & f(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r(v1) = v2) | ~ (q(v0) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v3) = 0 & p(v0) = v4 & f(v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (r(v2) = v1) | ~ (r(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0)) & ! [v0] : ! [v1] : ( ~ (f(v0) = v1) | q(v1) = 0) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (p(v2) = v3 & p(v0) = v4 & r(v1) = v5 & f(v1) = v2 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ( ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0))) | (v3 = 0 & ~ (v4 = 0)))) & ? [v0] : ? [v1] : (f(v0) = v1 & q(v1) = 0)
% 7.09/2.36 |
% 7.09/2.36 | Applying alpha-rule on (1) yields:
% 7.09/2.36 | (2) ! [v0] : ! [v1] : ( ~ (f(v0) = v1) | q(v1) = 0)
% 7.09/2.36 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (p(v2) = v3) | ~ (f(v1) = v2) | ~ (q(v0) = 0) | ? [v4] : ? [v5] : (p(v0) = v4 & r(v1) = v5 & ((v5 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (v3 = 0 & ~ (v4 = 0)))))
% 7.09/2.36 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ~ (p(v0) = v2) | ~ (r(v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (p(v4) = v5 & f(v1) = v4 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ~ (v2 = 0)))))
% 7.09/2.36 | (5) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (r(v1) = v2) | ~ (q(v0) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v3) = 0 & p(v0) = v4 & f(v1) = v3))
% 7.09/2.36 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = 0 | ~ (p(v2) = v3) | ~ (p(v0) = v4) | ~ (f(v1) = v2) | ? [v5] : ? [v6] : (r(v1) = v5 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))))
% 7.09/2.36 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (p(v2) = v3) | ~ (p(v0) = 0) | ~ (f(v1) = v2) | ? [v4] : ? [v5] : (r(v1) = v4 & q(v0) = v5 & ( ~ (v5 = 0) | (v4 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))))
% 7.09/2.37 | (8) r(all_0_2_2) = all_0_1_1
% 7.09/2.37 | (9) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (p(v2) = v1) | ~ (p(v2) = v0))
% 7.09/2.37 | (10) ? [v0] : ? [v1] : (f(v0) = v1 & q(v1) = 0)
% 7.09/2.37 | (11) r(all_0_7_7) = all_0_4_4
% 7.09/2.37 | (12) r(all_0_3_3) = all_0_0_0
% 7.09/2.37 | (13) ! [v0] : ! [v1] : ! [v2] : ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ~ (r(v1) = v2) | ~ (q(v0) = 0) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & p(v3) = 0 & p(v0) = v4 & f(v1) = v3))
% 7.09/2.37 | (14) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (r(v2) = v1) | ~ (r(v2) = v0))
% 7.09/2.37 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (q(v2) = v1) | ~ (q(v2) = v0))
% 7.09/2.37 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (p(v0) = v2) | ~ (r(v1) = v3) | ? [v4] : ? [v5] : ? [v6] : (p(v4) = v5 & f(v1) = v4 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ~ (v2 = 0)))))
% 7.09/2.37 | (17) r(all_0_6_6) = all_0_5_5
% 7.09/2.37 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (f(v2) = v1) | ~ (f(v2) = v0))
% 7.09/2.37 | (19) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : (p(v2) = v3 & p(v0) = v4 & r(v1) = v5 & f(v1) = v2 & q(v0) = v6 & ( ~ (v6 = 0) | (v5 = 0 & ( ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0))) | (v3 = 0 & ~ (v4 = 0))))
% 7.09/2.37 |
% 7.09/2.37 | Instantiating (10) with all_3_0_8, all_3_1_9 yields:
% 7.09/2.37 | (20) f(all_3_1_9) = all_3_0_8 & q(all_3_0_8) = 0
% 7.09/2.37 |
% 7.09/2.37 | Applying alpha-rule on (20) yields:
% 7.09/2.37 | (21) f(all_3_1_9) = all_3_0_8
% 7.09/2.37 | (22) q(all_3_0_8) = 0
% 7.09/2.37 |
% 7.09/2.37 | Instantiating (19) with all_5_0_10, all_5_1_11, all_5_2_12, all_5_3_13, all_5_4_14, all_5_5_15, all_5_6_16 yields:
% 7.09/2.37 | (23) p(all_5_4_14) = all_5_3_13 & p(all_5_6_16) = all_5_2_12 & r(all_5_5_15) = all_5_1_11 & f(all_5_5_15) = all_5_4_14 & q(all_5_6_16) = all_5_0_10 & ( ~ (all_5_0_10 = 0) | (all_5_1_11 = 0 & ( ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0))) | (all_5_3_13 = 0 & ~ (all_5_2_12 = 0)))
% 7.15/2.37 |
% 7.15/2.37 | Applying alpha-rule on (23) yields:
% 7.15/2.37 | (24) q(all_5_6_16) = all_5_0_10
% 7.15/2.37 | (25) p(all_5_6_16) = all_5_2_12
% 7.15/2.37 | (26) p(all_5_4_14) = all_5_3_13
% 7.15/2.37 | (27) f(all_5_5_15) = all_5_4_14
% 7.15/2.37 | (28) r(all_5_5_15) = all_5_1_11
% 7.15/2.37 | (29) ~ (all_5_0_10 = 0) | (all_5_1_11 = 0 & ( ~ (all_0_4_4 = 0) | ~ (all_0_5_5 = 0))) | (all_5_3_13 = 0 & ~ (all_5_2_12 = 0))
% 7.15/2.37 |
% 7.15/2.37 | Instantiating formula (4) with all_5_1_11, all_5_3_13, all_5_5_15, all_5_4_14 and discharging atoms p(all_5_4_14) = all_5_3_13, r(all_5_5_15) = all_5_1_11, yields:
% 7.15/2.37 | (30) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_5_5_15) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.15/2.37 |
% 7.15/2.37 | Instantiating formula (16) with all_5_1_11, all_5_3_13, all_5_5_15, all_5_4_14 and discharging atoms p(all_5_4_14) = all_5_3_13, r(all_5_5_15) = all_5_1_11, yields:
% 7.15/2.37 | (31) all_5_1_11 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_5_5_15) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (16) with all_0_1_1, all_5_3_13, all_0_2_2, all_5_4_14 and discharging atoms p(all_5_4_14) = all_5_3_13, r(all_0_2_2) = all_0_1_1, yields:
% 7.15/2.38 | (32) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (16) with all_0_1_1, all_5_2_12, all_0_2_2, all_5_6_16 and discharging atoms p(all_5_6_16) = all_5_2_12, r(all_0_2_2) = all_0_1_1, yields:
% 7.15/2.38 | (33) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_5_6_16) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_2_12 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (16) with all_0_0_0, all_5_3_13, all_0_3_3, all_5_4_14 and discharging atoms p(all_5_4_14) = all_5_3_13, r(all_0_3_3) = all_0_0_0, yields:
% 7.15/2.38 | (34) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_3_3) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (4) with all_0_4_4, all_5_2_12, all_0_7_7, all_5_6_16 and discharging atoms p(all_5_6_16) = all_5_2_12, r(all_0_7_7) = all_0_4_4, yields:
% 7.15/2.38 | (35) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_7_7) = v0 & q(all_5_6_16) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_2_12 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (2) with all_5_4_14, all_5_5_15 and discharging atoms f(all_5_5_15) = all_5_4_14, yields:
% 7.15/2.38 | (36) q(all_5_4_14) = 0
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (3) with all_5_3_13, all_5_4_14, all_5_5_15, all_3_0_8 and discharging atoms p(all_5_4_14) = all_5_3_13, f(all_5_5_15) = all_5_4_14, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (37) ? [v0] : ? [v1] : (p(all_3_0_8) = v0 & r(all_5_5_15) = v1 & ((v1 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (v0 = 0))))
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (13) with all_5_1_11, all_5_5_15, all_3_0_8 and discharging atoms r(all_5_5_15) = all_5_1_11, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (38) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_5_5_15) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (5) with all_5_1_11, all_5_5_15, all_3_0_8 and discharging atoms r(all_5_5_15) = all_5_1_11, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (39) all_5_1_11 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_5_5_15) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (5) with all_0_1_1, all_0_2_2, all_3_0_8 and discharging atoms r(all_0_2_2) = all_0_1_1, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (40) all_0_1_1 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_2_2) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (5) with all_0_0_0, all_0_3_3, all_3_0_8 and discharging atoms r(all_0_3_3) = all_0_0_0, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (41) all_0_0_0 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_3_3) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (13) with all_0_5_5, all_0_6_6, all_3_0_8 and discharging atoms r(all_0_6_6) = all_0_5_5, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (42) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_6_6) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating formula (13) with all_0_4_4, all_0_7_7, all_3_0_8 and discharging atoms r(all_0_7_7) = all_0_4_4, q(all_3_0_8) = 0, yields:
% 7.15/2.38 | (43) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_7_7) = v0)
% 7.15/2.38 |
% 7.15/2.38 | Instantiating (37) with all_13_0_17, all_13_1_18 yields:
% 7.15/2.38 | (44) p(all_3_0_8) = all_13_1_18 & r(all_5_5_15) = all_13_0_17 & ((all_13_0_17 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (all_13_1_18 = 0)))
% 7.15/2.38 |
% 7.15/2.39 | Applying alpha-rule on (44) yields:
% 7.15/2.39 | (45) p(all_3_0_8) = all_13_1_18
% 7.15/2.39 | (46) r(all_5_5_15) = all_13_0_17
% 7.15/2.39 | (47) (all_13_0_17 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (all_13_1_18 = 0))
% 7.15/2.39 |
% 7.15/2.39 +-Applying beta-rule and splitting (31), into two cases.
% 7.15/2.39 |-Branch one:
% 7.15/2.39 | (48) all_5_1_11 = 0
% 7.15/2.39 |
% 7.15/2.39 | From (48) and (28) follows:
% 7.15/2.39 | (49) r(all_5_5_15) = 0
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (14) with all_5_5_15, 0, all_13_0_17 and discharging atoms r(all_5_5_15) = all_13_0_17, r(all_5_5_15) = 0, yields:
% 7.15/2.39 | (50) all_13_0_17 = 0
% 7.15/2.39 |
% 7.15/2.39 | From (50) and (46) follows:
% 7.15/2.39 | (49) r(all_5_5_15) = 0
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (16) with all_0_1_1, all_13_1_18, all_0_2_2, all_3_0_8 and discharging atoms p(all_3_0_8) = all_13_1_18, r(all_0_2_2) = all_0_1_1, yields:
% 7.15/2.39 | (52) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_3_0_8) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_13_1_18 = 0))))
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (16) with all_0_0_0, all_13_1_18, all_0_3_3, all_3_0_8 and discharging atoms p(all_3_0_8) = all_13_1_18, r(all_0_3_3) = all_0_0_0, yields:
% 7.15/2.39 | (53) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_3_3) = v0 & q(all_3_0_8) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_13_1_18 = 0))))
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (3) with all_13_1_18, all_3_0_8, all_3_1_9, all_3_0_8 and discharging atoms p(all_3_0_8) = all_13_1_18, f(all_3_1_9) = all_3_0_8, q(all_3_0_8) = 0, yields:
% 7.15/2.39 | (54) ? [v0] : ? [v1] : (p(all_3_0_8) = v0 & r(all_3_1_9) = v1 & ((v1 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (v0 = 0))))
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (3) with all_5_3_13, all_5_4_14, all_5_5_15, all_5_4_14 and discharging atoms p(all_5_4_14) = all_5_3_13, f(all_5_5_15) = all_5_4_14, q(all_5_4_14) = 0, yields:
% 7.15/2.39 | (55) ? [v0] : ? [v1] : (p(all_5_4_14) = v0 & r(all_5_5_15) = v1 & ((v1 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (v0 = 0))))
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (3) with all_13_1_18, all_3_0_8, all_3_1_9, all_5_4_14 and discharging atoms p(all_3_0_8) = all_13_1_18, f(all_3_1_9) = all_3_0_8, q(all_5_4_14) = 0, yields:
% 7.15/2.39 | (56) ? [v0] : ? [v1] : (p(all_5_4_14) = v0 & r(all_3_1_9) = v1 & ((v1 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (v0 = 0))))
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (5) with all_0_1_1, all_0_2_2, all_5_4_14 and discharging atoms r(all_0_2_2) = all_0_1_1, q(all_5_4_14) = 0, yields:
% 7.15/2.39 | (57) all_0_1_1 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_0_2_2) = v0)
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (5) with all_0_0_0, all_0_3_3, all_5_4_14 and discharging atoms r(all_0_3_3) = all_0_0_0, q(all_5_4_14) = 0, yields:
% 7.15/2.39 | (58) all_0_0_0 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_0_3_3) = v0)
% 7.15/2.39 |
% 7.15/2.39 | Instantiating formula (13) with 0, all_5_5_15, all_5_4_14 and discharging atoms r(all_5_5_15) = 0, q(all_5_4_14) = 0, yields:
% 7.15/2.39 | (59) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_5_5_15) = v0)
% 7.15/2.39 |
% 7.15/2.39 | Instantiating (56) with all_28_0_19, all_28_1_20 yields:
% 7.15/2.39 | (60) p(all_5_4_14) = all_28_1_20 & r(all_3_1_9) = all_28_0_19 & ((all_28_0_19 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (all_28_1_20 = 0)))
% 7.15/2.39 |
% 7.15/2.39 | Applying alpha-rule on (60) yields:
% 7.15/2.39 | (61) p(all_5_4_14) = all_28_1_20
% 7.15/2.40 | (62) r(all_3_1_9) = all_28_0_19
% 7.15/2.40 | (63) (all_28_0_19 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (all_28_1_20 = 0))
% 7.15/2.40 |
% 7.15/2.40 | Instantiating (54) with all_30_0_21, all_30_1_22 yields:
% 7.15/2.40 | (64) p(all_3_0_8) = all_30_1_22 & r(all_3_1_9) = all_30_0_21 & ((all_30_0_21 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (all_30_1_22 = 0)))
% 7.15/2.40 |
% 7.15/2.40 | Applying alpha-rule on (64) yields:
% 7.15/2.40 | (65) p(all_3_0_8) = all_30_1_22
% 7.15/2.40 | (66) r(all_3_1_9) = all_30_0_21
% 7.15/2.40 | (67) (all_30_0_21 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_13_1_18 = 0 & ~ (all_30_1_22 = 0))
% 7.15/2.40 |
% 7.15/2.40 | Instantiating (55) with all_32_0_23, all_32_1_24 yields:
% 7.15/2.40 | (68) p(all_5_4_14) = all_32_1_24 & r(all_5_5_15) = all_32_0_23 & ((all_32_0_23 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (all_32_1_24 = 0)))
% 7.15/2.40 |
% 7.15/2.40 | Applying alpha-rule on (68) yields:
% 7.15/2.40 | (69) p(all_5_4_14) = all_32_1_24
% 7.15/2.40 | (70) r(all_5_5_15) = all_32_0_23
% 7.15/2.40 | (71) (all_32_0_23 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))) | (all_5_3_13 = 0 & ~ (all_32_1_24 = 0))
% 7.15/2.40 |
% 7.15/2.40 | Instantiating formula (9) with all_5_4_14, all_32_1_24, all_5_3_13 and discharging atoms p(all_5_4_14) = all_32_1_24, p(all_5_4_14) = all_5_3_13, yields:
% 7.15/2.40 | (72) all_32_1_24 = all_5_3_13
% 7.15/2.40 |
% 7.15/2.40 | Instantiating formula (9) with all_5_4_14, all_28_1_20, all_32_1_24 and discharging atoms p(all_5_4_14) = all_32_1_24, p(all_5_4_14) = all_28_1_20, yields:
% 7.15/2.40 | (73) all_32_1_24 = all_28_1_20
% 7.15/2.40 |
% 7.15/2.40 | Instantiating formula (9) with all_3_0_8, all_30_1_22, all_13_1_18 and discharging atoms p(all_3_0_8) = all_30_1_22, p(all_3_0_8) = all_13_1_18, yields:
% 7.15/2.40 | (74) all_30_1_22 = all_13_1_18
% 7.15/2.40 |
% 7.15/2.40 | Instantiating formula (14) with all_3_1_9, all_28_0_19, all_30_0_21 and discharging atoms r(all_3_1_9) = all_30_0_21, r(all_3_1_9) = all_28_0_19, yields:
% 7.15/2.40 | (75) all_30_0_21 = all_28_0_19
% 7.15/2.40 |
% 7.15/2.40 | Combining equations (73,72) yields a new equation:
% 7.15/2.40 | (76) all_28_1_20 = all_5_3_13
% 7.15/2.40 |
% 7.15/2.40 | Simplifying 76 yields:
% 7.15/2.40 | (77) all_28_1_20 = all_5_3_13
% 7.15/2.40 |
% 7.15/2.40 | From (77) and (61) follows:
% 7.15/2.40 | (26) p(all_5_4_14) = all_5_3_13
% 7.15/2.40 |
% 7.15/2.40 | From (74) and (65) follows:
% 7.15/2.40 | (45) p(all_3_0_8) = all_13_1_18
% 7.15/2.40 |
% 7.15/2.40 | From (75) and (66) follows:
% 7.15/2.40 | (62) r(all_3_1_9) = all_28_0_19
% 7.15/2.40 |
% 7.15/2.40 +-Applying beta-rule and splitting (67), into two cases.
% 7.15/2.40 |-Branch one:
% 7.15/2.40 | (81) all_30_0_21 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))
% 7.15/2.40 |
% 7.15/2.40 | Applying alpha-rule on (81) yields:
% 7.15/2.40 | (82) all_30_0_21 = 0
% 7.15/2.40 | (83) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)
% 7.15/2.40 |
% 7.15/2.40 | Combining equations (75,82) yields a new equation:
% 7.15/2.40 | (84) all_28_0_19 = 0
% 7.15/2.40 |
% 7.15/2.40 | Simplifying 84 yields:
% 7.15/2.40 | (85) all_28_0_19 = 0
% 7.15/2.40 |
% 7.15/2.40 | From (85) and (62) follows:
% 7.15/2.40 | (86) r(all_3_1_9) = 0
% 7.15/2.40 |
% 7.15/2.40 | Instantiating formula (13) with 0, all_3_1_9, all_3_0_8 and discharging atoms r(all_3_1_9) = 0, q(all_3_0_8) = 0, yields:
% 7.15/2.40 | (87) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_3_1_9) = v0)
% 7.15/2.40 |
% 7.15/2.40 +-Applying beta-rule and splitting (41), into two cases.
% 7.15/2.40 |-Branch one:
% 7.15/2.40 | (88) all_0_0_0 = 0
% 7.15/2.40 |
% 7.15/2.40 +-Applying beta-rule and splitting (59), into two cases.
% 7.15/2.40 |-Branch one:
% 7.15/2.40 | (89) ~ (all_0_0_0 = 0)
% 7.15/2.40 |
% 7.15/2.40 | Equations (88) can reduce 89 to:
% 7.15/2.40 | (90) $false
% 7.15/2.40 |
% 7.15/2.41 |-The branch is then unsatisfiable
% 7.15/2.41 |-Branch two:
% 7.15/2.41 | (88) all_0_0_0 = 0
% 7.15/2.41 | (92) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_5_5_15) = v0)
% 7.15/2.41 |
% 7.15/2.41 +-Applying beta-rule and splitting (92), into two cases.
% 7.15/2.41 |-Branch one:
% 7.15/2.41 | (93) ~ (all_0_1_1 = 0)
% 7.15/2.41 |
% 7.15/2.41 +-Applying beta-rule and splitting (33), into two cases.
% 7.15/2.41 |-Branch one:
% 7.15/2.41 | (94) all_0_1_1 = 0
% 7.15/2.41 |
% 7.15/2.41 | Equations (94) can reduce 93 to:
% 7.15/2.41 | (90) $false
% 7.15/2.41 |
% 7.15/2.41 |-The branch is then unsatisfiable
% 7.15/2.41 |-Branch two:
% 7.15/2.41 | (93) ~ (all_0_1_1 = 0)
% 7.15/2.41 | (97) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_5_6_16) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_2_12 = 0))))
% 7.15/2.41 |
% 7.15/2.41 | Instantiating (97) with all_61_0_25, all_61_1_26, all_61_2_27 yields:
% 7.15/2.41 | (98) p(all_61_2_27) = all_61_1_26 & f(all_0_2_2) = all_61_2_27 & q(all_5_6_16) = all_61_0_25 & ( ~ (all_61_0_25 = 0) | (all_61_1_26 = 0 & ~ (all_5_2_12 = 0)))
% 7.15/2.41 |
% 7.15/2.41 | Applying alpha-rule on (98) yields:
% 7.15/2.41 | (99) p(all_61_2_27) = all_61_1_26
% 7.33/2.41 | (100) f(all_0_2_2) = all_61_2_27
% 7.33/2.41 | (101) q(all_5_6_16) = all_61_0_25
% 7.33/2.41 | (102) ~ (all_61_0_25 = 0) | (all_61_1_26 = 0 & ~ (all_5_2_12 = 0))
% 7.33/2.41 |
% 7.33/2.41 +-Applying beta-rule and splitting (40), into two cases.
% 7.33/2.41 |-Branch one:
% 7.33/2.41 | (94) all_0_1_1 = 0
% 7.33/2.41 |
% 7.33/2.41 | Equations (94) can reduce 93 to:
% 7.33/2.41 | (90) $false
% 7.33/2.41 |
% 7.33/2.41 |-The branch is then unsatisfiable
% 7.33/2.41 |-Branch two:
% 7.33/2.41 | (93) ~ (all_0_1_1 = 0)
% 7.33/2.41 | (106) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_2_2) = v0)
% 7.33/2.41 |
% 7.33/2.41 | Instantiating (106) with all_66_0_28, all_66_1_29 yields:
% 7.33/2.41 | (107) ~ (all_66_0_28 = 0) & p(all_66_1_29) = 0 & p(all_3_0_8) = all_66_0_28 & f(all_0_2_2) = all_66_1_29
% 7.33/2.41 |
% 7.33/2.41 | Applying alpha-rule on (107) yields:
% 7.33/2.41 | (108) ~ (all_66_0_28 = 0)
% 7.33/2.41 | (109) p(all_66_1_29) = 0
% 7.33/2.41 | (110) p(all_3_0_8) = all_66_0_28
% 7.33/2.41 | (111) f(all_0_2_2) = all_66_1_29
% 7.33/2.41 |
% 7.33/2.41 +-Applying beta-rule and splitting (32), into two cases.
% 7.33/2.41 |-Branch one:
% 7.33/2.41 | (94) all_0_1_1 = 0
% 7.33/2.41 |
% 7.33/2.41 | Equations (94) can reduce 93 to:
% 7.33/2.41 | (90) $false
% 7.33/2.41 |
% 7.33/2.41 |-The branch is then unsatisfiable
% 7.33/2.41 |-Branch two:
% 7.33/2.41 | (93) ~ (all_0_1_1 = 0)
% 7.33/2.41 | (115) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.33/2.41 |
% 7.33/2.41 | Instantiating (115) with all_71_0_30, all_71_1_31, all_71_2_32 yields:
% 7.33/2.41 | (116) p(all_71_2_32) = all_71_1_31 & f(all_0_2_2) = all_71_2_32 & q(all_5_4_14) = all_71_0_30 & ( ~ (all_71_0_30 = 0) | (all_71_1_31 = 0 & ~ (all_5_3_13 = 0)))
% 7.33/2.41 |
% 7.33/2.41 | Applying alpha-rule on (116) yields:
% 7.33/2.41 | (117) p(all_71_2_32) = all_71_1_31
% 7.33/2.41 | (118) f(all_0_2_2) = all_71_2_32
% 7.33/2.41 | (119) q(all_5_4_14) = all_71_0_30
% 7.33/2.41 | (120) ~ (all_71_0_30 = 0) | (all_71_1_31 = 0 & ~ (all_5_3_13 = 0))
% 7.33/2.41 |
% 7.33/2.41 +-Applying beta-rule and splitting (52), into two cases.
% 7.33/2.41 |-Branch one:
% 7.33/2.41 | (94) all_0_1_1 = 0
% 7.33/2.41 |
% 7.33/2.41 | Equations (94) can reduce 93 to:
% 7.33/2.41 | (90) $false
% 7.33/2.41 |
% 7.33/2.41 |-The branch is then unsatisfiable
% 7.33/2.41 |-Branch two:
% 7.33/2.41 | (93) ~ (all_0_1_1 = 0)
% 7.33/2.41 | (124) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_2_2) = v0 & q(all_3_0_8) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_13_1_18 = 0))))
% 7.33/2.41 |
% 7.33/2.41 | Instantiating (124) with all_76_0_33, all_76_1_34, all_76_2_35 yields:
% 7.33/2.41 | (125) p(all_76_2_35) = all_76_1_34 & f(all_0_2_2) = all_76_2_35 & q(all_3_0_8) = all_76_0_33 & ( ~ (all_76_0_33 = 0) | (all_76_1_34 = 0 & ~ (all_13_1_18 = 0)))
% 7.33/2.42 |
% 7.33/2.42 | Applying alpha-rule on (125) yields:
% 7.33/2.42 | (126) p(all_76_2_35) = all_76_1_34
% 7.33/2.42 | (127) f(all_0_2_2) = all_76_2_35
% 7.33/2.42 | (128) q(all_3_0_8) = all_76_0_33
% 7.33/2.42 | (129) ~ (all_76_0_33 = 0) | (all_76_1_34 = 0 & ~ (all_13_1_18 = 0))
% 7.33/2.42 |
% 7.33/2.42 +-Applying beta-rule and splitting (57), into two cases.
% 7.33/2.42 |-Branch one:
% 7.33/2.42 | (94) all_0_1_1 = 0
% 7.33/2.42 |
% 7.33/2.42 | Equations (94) can reduce 93 to:
% 7.33/2.42 | (90) $false
% 7.33/2.42 |
% 7.33/2.42 |-The branch is then unsatisfiable
% 7.33/2.42 |-Branch two:
% 7.33/2.42 | (93) ~ (all_0_1_1 = 0)
% 7.33/2.42 | (133) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_0_2_2) = v0)
% 7.33/2.42 |
% 7.33/2.42 | Instantiating (133) with all_81_0_36, all_81_1_37 yields:
% 7.33/2.42 | (134) ~ (all_81_0_36 = 0) & p(all_81_1_37) = 0 & p(all_5_4_14) = all_81_0_36 & f(all_0_2_2) = all_81_1_37
% 7.33/2.42 |
% 7.33/2.42 | Applying alpha-rule on (134) yields:
% 7.33/2.42 | (135) ~ (all_81_0_36 = 0)
% 7.33/2.42 | (136) p(all_81_1_37) = 0
% 7.33/2.42 | (137) p(all_5_4_14) = all_81_0_36
% 7.33/2.42 | (138) f(all_0_2_2) = all_81_1_37
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (9) with all_5_4_14, all_81_0_36, all_5_3_13 and discharging atoms p(all_5_4_14) = all_81_0_36, p(all_5_4_14) = all_5_3_13, yields:
% 7.33/2.42 | (139) all_81_0_36 = all_5_3_13
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (9) with all_3_0_8, all_66_0_28, all_13_1_18 and discharging atoms p(all_3_0_8) = all_66_0_28, p(all_3_0_8) = all_13_1_18, yields:
% 7.33/2.42 | (140) all_66_0_28 = all_13_1_18
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (18) with all_0_2_2, all_76_2_35, all_81_1_37 and discharging atoms f(all_0_2_2) = all_81_1_37, f(all_0_2_2) = all_76_2_35, yields:
% 7.33/2.42 | (141) all_81_1_37 = all_76_2_35
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (18) with all_0_2_2, all_71_2_32, all_76_2_35 and discharging atoms f(all_0_2_2) = all_76_2_35, f(all_0_2_2) = all_71_2_32, yields:
% 7.33/2.42 | (142) all_76_2_35 = all_71_2_32
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (18) with all_0_2_2, all_66_1_29, all_81_1_37 and discharging atoms f(all_0_2_2) = all_81_1_37, f(all_0_2_2) = all_66_1_29, yields:
% 7.33/2.42 | (143) all_81_1_37 = all_66_1_29
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (18) with all_0_2_2, all_61_2_27, all_71_2_32 and discharging atoms f(all_0_2_2) = all_71_2_32, f(all_0_2_2) = all_61_2_27, yields:
% 7.33/2.42 | (144) all_71_2_32 = all_61_2_27
% 7.33/2.42 |
% 7.33/2.42 | Instantiating formula (15) with all_5_4_14, all_71_0_30, 0 and discharging atoms q(all_5_4_14) = all_71_0_30, q(all_5_4_14) = 0, yields:
% 7.33/2.42 | (145) all_71_0_30 = 0
% 7.33/2.42 |
% 7.33/2.42 | Combining equations (141,143) yields a new equation:
% 7.33/2.42 | (146) all_76_2_35 = all_66_1_29
% 7.33/2.42 |
% 7.33/2.42 | Simplifying 146 yields:
% 7.33/2.42 | (147) all_76_2_35 = all_66_1_29
% 7.33/2.42 |
% 7.33/2.42 | Combining equations (142,147) yields a new equation:
% 7.33/2.42 | (148) all_71_2_32 = all_66_1_29
% 7.33/2.42 |
% 7.33/2.42 | Simplifying 148 yields:
% 7.33/2.42 | (149) all_71_2_32 = all_66_1_29
% 7.33/2.42 |
% 7.33/2.42 | Combining equations (144,149) yields a new equation:
% 7.33/2.42 | (150) all_66_1_29 = all_61_2_27
% 7.33/2.42 |
% 7.33/2.42 | Combining equations (150,149) yields a new equation:
% 7.33/2.42 | (144) all_71_2_32 = all_61_2_27
% 7.33/2.42 |
% 7.33/2.42 | From (144) and (117) follows:
% 7.33/2.42 | (152) p(all_61_2_27) = all_71_1_31
% 7.33/2.42 |
% 7.33/2.42 | From (139) and (137) follows:
% 7.33/2.42 | (26) p(all_5_4_14) = all_5_3_13
% 7.33/2.42 |
% 7.33/2.42 | From (140) and (110) follows:
% 7.33/2.42 | (45) p(all_3_0_8) = all_13_1_18
% 7.33/2.43 |
% 7.33/2.43 | From (150) and (111) follows:
% 7.33/2.43 | (100) f(all_0_2_2) = all_61_2_27
% 7.33/2.43 |
% 7.33/2.43 +-Applying beta-rule and splitting (120), into two cases.
% 7.33/2.43 |-Branch one:
% 7.33/2.43 | (156) ~ (all_71_0_30 = 0)
% 7.33/2.43 |
% 7.33/2.43 | Equations (145) can reduce 156 to:
% 7.33/2.43 | (90) $false
% 7.33/2.43 |
% 7.33/2.43 |-The branch is then unsatisfiable
% 7.33/2.43 |-Branch two:
% 7.33/2.43 | (145) all_71_0_30 = 0
% 7.33/2.43 | (159) all_71_1_31 = 0 & ~ (all_5_3_13 = 0)
% 7.33/2.43 |
% 7.33/2.43 | Applying alpha-rule on (159) yields:
% 7.33/2.43 | (160) all_71_1_31 = 0
% 7.33/2.43 | (161) ~ (all_5_3_13 = 0)
% 7.33/2.43 |
% 7.33/2.43 | From (160) and (152) follows:
% 7.33/2.43 | (162) p(all_61_2_27) = 0
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (9) with all_61_2_27, 0, all_61_1_26 and discharging atoms p(all_61_2_27) = all_61_1_26, p(all_61_2_27) = 0, yields:
% 7.33/2.43 | (163) all_61_1_26 = 0
% 7.33/2.43 |
% 7.33/2.43 | From (163) and (99) follows:
% 7.33/2.43 | (162) p(all_61_2_27) = 0
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (16) with all_0_1_1, 0, all_0_2_2, all_61_2_27 and discharging atoms p(all_61_2_27) = 0, r(all_0_2_2) = all_0_1_1, yields:
% 7.33/2.43 | (165) all_0_1_1 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & f(all_0_2_2) = v0 & q(all_61_2_27) = v2)
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (7) with all_5_3_13, all_5_4_14, all_5_5_15, all_61_2_27 and discharging atoms p(all_61_2_27) = 0, p(all_5_4_14) = all_5_3_13, f(all_5_5_15) = all_5_4_14, yields:
% 7.33/2.43 | (166) ? [v0] : ? [v1] : (r(all_5_5_15) = v0 & q(all_61_2_27) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (7) with all_13_1_18, all_3_0_8, all_3_1_9, all_61_2_27 and discharging atoms p(all_61_2_27) = 0, p(all_3_0_8) = all_13_1_18, f(all_3_1_9) = all_3_0_8, yields:
% 7.33/2.43 | (167) ? [v0] : ? [v1] : (r(all_3_1_9) = v0 & q(all_61_2_27) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (7) with 0, all_61_2_27, all_0_2_2, all_61_2_27 and discharging atoms p(all_61_2_27) = 0, f(all_0_2_2) = all_61_2_27, yields:
% 7.33/2.43 | (168) ? [v0] : ? [v1] : (r(all_0_2_2) = v0 & q(all_61_2_27) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.33/2.43 |
% 7.33/2.43 | Instantiating formula (2) with all_61_2_27, all_0_2_2 and discharging atoms f(all_0_2_2) = all_61_2_27, yields:
% 7.33/2.43 | (169) q(all_61_2_27) = 0
% 7.33/2.43 |
% 7.33/2.43 | Instantiating (168) with all_105_0_38, all_105_1_39 yields:
% 7.33/2.43 | (170) r(all_0_2_2) = all_105_1_39 & q(all_61_2_27) = all_105_0_38 & ( ~ (all_105_0_38 = 0) | (all_105_1_39 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.33/2.43 |
% 7.33/2.43 | Applying alpha-rule on (170) yields:
% 7.33/2.43 | (171) r(all_0_2_2) = all_105_1_39
% 7.33/2.43 | (172) q(all_61_2_27) = all_105_0_38
% 7.33/2.43 | (173) ~ (all_105_0_38 = 0) | (all_105_1_39 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.33/2.43 |
% 7.33/2.43 | Instantiating (167) with all_107_0_40, all_107_1_41 yields:
% 7.33/2.43 | (174) r(all_3_1_9) = all_107_1_41 & q(all_61_2_27) = all_107_0_40 & ( ~ (all_107_0_40 = 0) | (all_107_1_41 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.33/2.43 |
% 7.33/2.43 | Applying alpha-rule on (174) yields:
% 7.33/2.43 | (175) r(all_3_1_9) = all_107_1_41
% 7.33/2.43 | (176) q(all_61_2_27) = all_107_0_40
% 7.33/2.43 | (177) ~ (all_107_0_40 = 0) | (all_107_1_41 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.33/2.43 |
% 7.33/2.43 | Instantiating (166) with all_109_0_42, all_109_1_43 yields:
% 7.33/2.43 | (178) r(all_5_5_15) = all_109_1_43 & q(all_61_2_27) = all_109_0_42 & ( ~ (all_109_0_42 = 0) | (all_109_1_43 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.33/2.43 |
% 7.33/2.43 | Applying alpha-rule on (178) yields:
% 7.33/2.43 | (179) r(all_5_5_15) = all_109_1_43
% 7.33/2.43 | (180) q(all_61_2_27) = all_109_0_42
% 7.33/2.43 | (181) ~ (all_109_0_42 = 0) | (all_109_1_43 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.33/2.43 |
% 7.33/2.43 +-Applying beta-rule and splitting (165), into two cases.
% 7.33/2.43 |-Branch one:
% 7.33/2.43 | (94) all_0_1_1 = 0
% 7.33/2.43 |
% 7.33/2.43 | Equations (94) can reduce 93 to:
% 7.33/2.43 | (90) $false
% 7.33/2.43 |
% 7.33/2.43 |-The branch is then unsatisfiable
% 7.33/2.43 |-Branch two:
% 7.33/2.43 | (93) ~ (all_0_1_1 = 0)
% 7.33/2.43 | (185) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & f(all_0_2_2) = v0 & q(all_61_2_27) = v2)
% 7.33/2.43 |
% 7.33/2.43 | Instantiating (185) with all_115_0_44, all_115_1_45, all_115_2_46 yields:
% 7.33/2.43 | (186) ~ (all_115_0_44 = 0) & p(all_115_2_46) = all_115_1_45 & f(all_0_2_2) = all_115_2_46 & q(all_61_2_27) = all_115_0_44
% 7.33/2.43 |
% 7.33/2.43 | Applying alpha-rule on (186) yields:
% 7.33/2.43 | (187) ~ (all_115_0_44 = 0)
% 7.45/2.43 | (188) p(all_115_2_46) = all_115_1_45
% 7.45/2.43 | (189) f(all_0_2_2) = all_115_2_46
% 7.45/2.43 | (190) q(all_61_2_27) = all_115_0_44
% 7.45/2.43 |
% 7.45/2.43 | Instantiating formula (15) with all_61_2_27, all_109_0_42, all_115_0_44 and discharging atoms q(all_61_2_27) = all_115_0_44, q(all_61_2_27) = all_109_0_42, yields:
% 7.45/2.43 | (191) all_115_0_44 = all_109_0_42
% 7.45/2.43 |
% 7.45/2.43 | Instantiating formula (15) with all_61_2_27, all_107_0_40, all_109_0_42 and discharging atoms q(all_61_2_27) = all_109_0_42, q(all_61_2_27) = all_107_0_40, yields:
% 7.45/2.43 | (192) all_109_0_42 = all_107_0_40
% 7.45/2.43 |
% 7.45/2.43 | Instantiating formula (15) with all_61_2_27, all_105_0_38, all_115_0_44 and discharging atoms q(all_61_2_27) = all_115_0_44, q(all_61_2_27) = all_105_0_38, yields:
% 7.45/2.43 | (193) all_115_0_44 = all_105_0_38
% 7.45/2.43 |
% 7.45/2.43 | Instantiating formula (15) with all_61_2_27, 0, all_109_0_42 and discharging atoms q(all_61_2_27) = all_109_0_42, q(all_61_2_27) = 0, yields:
% 7.45/2.43 | (194) all_109_0_42 = 0
% 7.45/2.43 |
% 7.45/2.43 | Combining equations (191,193) yields a new equation:
% 7.45/2.43 | (195) all_109_0_42 = all_105_0_38
% 7.45/2.43 |
% 7.45/2.43 | Simplifying 195 yields:
% 7.45/2.43 | (196) all_109_0_42 = all_105_0_38
% 7.45/2.43 |
% 7.45/2.43 | Combining equations (194,192) yields a new equation:
% 7.45/2.44 | (197) all_107_0_40 = 0
% 7.45/2.44 |
% 7.45/2.44 | Combining equations (196,192) yields a new equation:
% 7.45/2.44 | (198) all_107_0_40 = all_105_0_38
% 7.45/2.44 |
% 7.45/2.44 | Combining equations (197,198) yields a new equation:
% 7.45/2.44 | (199) all_105_0_38 = 0
% 7.45/2.44 |
% 7.45/2.44 | Combining equations (199,193) yields a new equation:
% 7.45/2.44 | (200) all_115_0_44 = 0
% 7.45/2.44 |
% 7.45/2.44 | Equations (200) can reduce 187 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (94) all_0_1_1 = 0
% 7.45/2.44 | (203) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_5_5_15) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (30), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (207) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_5_5_15) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (38), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (211) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_5_5_15) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (42), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (215) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_6_6) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (211), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (93) ~ (all_0_1_1 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (94) can reduce 93 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (94) all_0_1_1 = 0
% 7.45/2.44 | (219) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_5_5_15) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (87), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (223) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_3_1_9) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (35), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (227) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_7_7) = v0 & q(all_5_6_16) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_2_12 = 0))))
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (43), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (231) ~ (all_0_1_1 = 0) | ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_7_7) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (215), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (93) ~ (all_0_1_1 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (94) can reduce 93 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (94) all_0_1_1 = 0
% 7.45/2.44 | (235) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_6_6) = v0)
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (83), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 | (93) ~ (all_0_1_1 = 0)
% 7.45/2.44 |
% 7.45/2.44 | Equations (94) can reduce 93 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 | (242) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_0_3_3) = v0)
% 7.45/2.44 |
% 7.45/2.44 | Instantiating (242) with all_49_0_53, all_49_1_54 yields:
% 7.45/2.44 | (243) ~ (all_49_0_53 = 0) & p(all_49_1_54) = 0 & p(all_3_0_8) = all_49_0_53 & f(all_0_3_3) = all_49_1_54
% 7.45/2.44 |
% 7.45/2.44 | Applying alpha-rule on (243) yields:
% 7.45/2.44 | (244) ~ (all_49_0_53 = 0)
% 7.45/2.44 | (245) p(all_49_1_54) = 0
% 7.45/2.44 | (246) p(all_3_0_8) = all_49_0_53
% 7.45/2.44 | (247) f(all_0_3_3) = all_49_1_54
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (34), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 | (251) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_3_3) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.45/2.44 |
% 7.45/2.44 | Instantiating (251) with all_55_0_55, all_55_1_56, all_55_2_57 yields:
% 7.45/2.44 | (252) p(all_55_2_57) = all_55_1_56 & f(all_0_3_3) = all_55_2_57 & q(all_5_4_14) = all_55_0_55 & ( ~ (all_55_0_55 = 0) | (all_55_1_56 = 0 & ~ (all_5_3_13 = 0)))
% 7.45/2.44 |
% 7.45/2.44 | Applying alpha-rule on (252) yields:
% 7.45/2.44 | (253) p(all_55_2_57) = all_55_1_56
% 7.45/2.44 | (254) f(all_0_3_3) = all_55_2_57
% 7.45/2.44 | (255) q(all_5_4_14) = all_55_0_55
% 7.45/2.44 | (256) ~ (all_55_0_55 = 0) | (all_55_1_56 = 0 & ~ (all_5_3_13 = 0))
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (53), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 | (260) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_0_3_3) = v0 & q(all_3_0_8) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_13_1_18 = 0))))
% 7.45/2.44 |
% 7.45/2.44 | Instantiating (260) with all_61_0_58, all_61_1_59, all_61_2_60 yields:
% 7.45/2.44 | (261) p(all_61_2_60) = all_61_1_59 & f(all_0_3_3) = all_61_2_60 & q(all_3_0_8) = all_61_0_58 & ( ~ (all_61_0_58 = 0) | (all_61_1_59 = 0 & ~ (all_13_1_18 = 0)))
% 7.45/2.44 |
% 7.45/2.44 | Applying alpha-rule on (261) yields:
% 7.45/2.44 | (262) p(all_61_2_60) = all_61_1_59
% 7.45/2.44 | (263) f(all_0_3_3) = all_61_2_60
% 7.45/2.44 | (264) q(all_3_0_8) = all_61_0_58
% 7.45/2.44 | (265) ~ (all_61_0_58 = 0) | (all_61_1_59 = 0 & ~ (all_13_1_18 = 0))
% 7.45/2.44 |
% 7.45/2.44 +-Applying beta-rule and splitting (58), into two cases.
% 7.45/2.44 |-Branch one:
% 7.45/2.44 | (88) all_0_0_0 = 0
% 7.45/2.44 |
% 7.45/2.44 | Equations (88) can reduce 89 to:
% 7.45/2.44 | (90) $false
% 7.45/2.44 |
% 7.45/2.44 |-The branch is then unsatisfiable
% 7.45/2.44 |-Branch two:
% 7.45/2.44 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.44 | (269) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_5_4_14) = v1 & f(all_0_3_3) = v0)
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (269) with all_67_0_61, all_67_1_62 yields:
% 7.45/2.45 | (270) ~ (all_67_0_61 = 0) & p(all_67_1_62) = 0 & p(all_5_4_14) = all_67_0_61 & f(all_0_3_3) = all_67_1_62
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (270) yields:
% 7.45/2.45 | (271) ~ (all_67_0_61 = 0)
% 7.45/2.45 | (272) p(all_67_1_62) = 0
% 7.45/2.45 | (273) p(all_5_4_14) = all_67_0_61
% 7.45/2.45 | (274) f(all_0_3_3) = all_67_1_62
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (9) with all_5_4_14, all_67_0_61, all_5_3_13 and discharging atoms p(all_5_4_14) = all_67_0_61, p(all_5_4_14) = all_5_3_13, yields:
% 7.45/2.45 | (275) all_67_0_61 = all_5_3_13
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (9) with all_3_0_8, all_49_0_53, all_13_1_18 and discharging atoms p(all_3_0_8) = all_49_0_53, p(all_3_0_8) = all_13_1_18, yields:
% 7.45/2.45 | (276) all_49_0_53 = all_13_1_18
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (18) with all_0_3_3, all_61_2_60, all_67_1_62 and discharging atoms f(all_0_3_3) = all_67_1_62, f(all_0_3_3) = all_61_2_60, yields:
% 7.45/2.45 | (277) all_67_1_62 = all_61_2_60
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (18) with all_0_3_3, all_55_2_57, all_61_2_60 and discharging atoms f(all_0_3_3) = all_61_2_60, f(all_0_3_3) = all_55_2_57, yields:
% 7.45/2.45 | (278) all_61_2_60 = all_55_2_57
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (18) with all_0_3_3, all_49_1_54, all_67_1_62 and discharging atoms f(all_0_3_3) = all_67_1_62, f(all_0_3_3) = all_49_1_54, yields:
% 7.45/2.45 | (279) all_67_1_62 = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (15) with all_3_0_8, all_61_0_58, 0 and discharging atoms q(all_3_0_8) = all_61_0_58, q(all_3_0_8) = 0, yields:
% 7.45/2.45 | (280) all_61_0_58 = 0
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (277,279) yields a new equation:
% 7.45/2.45 | (281) all_61_2_60 = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 | Simplifying 281 yields:
% 7.45/2.45 | (282) all_61_2_60 = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (282,278) yields a new equation:
% 7.45/2.45 | (283) all_55_2_57 = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (283,278) yields a new equation:
% 7.45/2.45 | (282) all_61_2_60 = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 | From (282) and (262) follows:
% 7.45/2.45 | (285) p(all_49_1_54) = all_61_1_59
% 7.45/2.45 |
% 7.45/2.45 | From (275) and (273) follows:
% 7.45/2.45 | (26) p(all_5_4_14) = all_5_3_13
% 7.45/2.45 |
% 7.45/2.45 | From (276) and (246) follows:
% 7.45/2.45 | (45) p(all_3_0_8) = all_13_1_18
% 7.45/2.45 |
% 7.45/2.45 | From (283) and (254) follows:
% 7.45/2.45 | (247) f(all_0_3_3) = all_49_1_54
% 7.45/2.45 |
% 7.45/2.45 +-Applying beta-rule and splitting (265), into two cases.
% 7.45/2.45 |-Branch one:
% 7.45/2.45 | (289) ~ (all_61_0_58 = 0)
% 7.45/2.45 |
% 7.45/2.45 | Equations (280) can reduce 289 to:
% 7.45/2.45 | (90) $false
% 7.45/2.45 |
% 7.45/2.45 |-The branch is then unsatisfiable
% 7.45/2.45 |-Branch two:
% 7.45/2.45 | (280) all_61_0_58 = 0
% 7.45/2.45 | (292) all_61_1_59 = 0 & ~ (all_13_1_18 = 0)
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (292) yields:
% 7.45/2.45 | (293) all_61_1_59 = 0
% 7.45/2.45 | (294) ~ (all_13_1_18 = 0)
% 7.45/2.45 |
% 7.45/2.45 | From (293) and (285) follows:
% 7.45/2.45 | (245) p(all_49_1_54) = 0
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (16) with all_0_0_0, 0, all_0_3_3, all_49_1_54 and discharging atoms p(all_49_1_54) = 0, r(all_0_3_3) = all_0_0_0, yields:
% 7.45/2.45 | (296) all_0_0_0 = 0 | ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & f(all_0_3_3) = v0 & q(all_49_1_54) = v2)
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (7) with all_5_3_13, all_5_4_14, all_5_5_15, all_49_1_54 and discharging atoms p(all_49_1_54) = 0, p(all_5_4_14) = all_5_3_13, f(all_5_5_15) = all_5_4_14, yields:
% 7.45/2.45 | (297) ? [v0] : ? [v1] : (r(all_5_5_15) = v0 & q(all_49_1_54) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (7) with all_13_1_18, all_3_0_8, all_3_1_9, all_49_1_54 and discharging atoms p(all_49_1_54) = 0, p(all_3_0_8) = all_13_1_18, f(all_3_1_9) = all_3_0_8, yields:
% 7.45/2.45 | (298) ? [v0] : ? [v1] : (r(all_3_1_9) = v0 & q(all_49_1_54) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (7) with 0, all_49_1_54, all_0_3_3, all_49_1_54 and discharging atoms p(all_49_1_54) = 0, f(all_0_3_3) = all_49_1_54, yields:
% 7.45/2.45 | (299) ? [v0] : ? [v1] : (r(all_0_3_3) = v0 & q(all_49_1_54) = v1 & ( ~ (v1 = 0) | (v0 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (2) with all_49_1_54, all_0_3_3 and discharging atoms f(all_0_3_3) = all_49_1_54, yields:
% 7.45/2.45 | (300) q(all_49_1_54) = 0
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (298) with all_87_0_63, all_87_1_64 yields:
% 7.45/2.45 | (301) r(all_3_1_9) = all_87_1_64 & q(all_49_1_54) = all_87_0_63 & ( ~ (all_87_0_63 = 0) | (all_87_1_64 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (301) yields:
% 7.45/2.45 | (302) r(all_3_1_9) = all_87_1_64
% 7.45/2.45 | (303) q(all_49_1_54) = all_87_0_63
% 7.45/2.45 | (304) ~ (all_87_0_63 = 0) | (all_87_1_64 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (297) with all_89_0_65, all_89_1_66 yields:
% 7.45/2.45 | (305) r(all_5_5_15) = all_89_1_66 & q(all_49_1_54) = all_89_0_65 & ( ~ (all_89_0_65 = 0) | (all_89_1_66 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (305) yields:
% 7.45/2.45 | (306) r(all_5_5_15) = all_89_1_66
% 7.45/2.45 | (307) q(all_49_1_54) = all_89_0_65
% 7.45/2.45 | (308) ~ (all_89_0_65 = 0) | (all_89_1_66 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (299) with all_91_0_67, all_91_1_68 yields:
% 7.45/2.45 | (309) r(all_0_3_3) = all_91_1_68 & q(all_49_1_54) = all_91_0_67 & ( ~ (all_91_0_67 = 0) | (all_91_1_68 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))))
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (309) yields:
% 7.45/2.45 | (310) r(all_0_3_3) = all_91_1_68
% 7.45/2.45 | (311) q(all_49_1_54) = all_91_0_67
% 7.45/2.45 | (312) ~ (all_91_0_67 = 0) | (all_91_1_68 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)))
% 7.45/2.45 |
% 7.45/2.45 +-Applying beta-rule and splitting (296), into two cases.
% 7.45/2.45 |-Branch one:
% 7.45/2.45 | (88) all_0_0_0 = 0
% 7.45/2.45 |
% 7.45/2.45 | Equations (88) can reduce 89 to:
% 7.45/2.45 | (90) $false
% 7.45/2.45 |
% 7.45/2.45 |-The branch is then unsatisfiable
% 7.45/2.45 |-Branch two:
% 7.45/2.45 | (89) ~ (all_0_0_0 = 0)
% 7.45/2.45 | (316) ? [v0] : ? [v1] : ? [v2] : ( ~ (v2 = 0) & p(v0) = v1 & f(all_0_3_3) = v0 & q(all_49_1_54) = v2)
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (316) with all_97_0_69, all_97_1_70, all_97_2_71 yields:
% 7.45/2.45 | (317) ~ (all_97_0_69 = 0) & p(all_97_2_71) = all_97_1_70 & f(all_0_3_3) = all_97_2_71 & q(all_49_1_54) = all_97_0_69
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (317) yields:
% 7.45/2.45 | (318) ~ (all_97_0_69 = 0)
% 7.45/2.45 | (319) p(all_97_2_71) = all_97_1_70
% 7.45/2.45 | (320) f(all_0_3_3) = all_97_2_71
% 7.45/2.45 | (321) q(all_49_1_54) = all_97_0_69
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (15) with all_49_1_54, all_91_0_67, all_97_0_69 and discharging atoms q(all_49_1_54) = all_97_0_69, q(all_49_1_54) = all_91_0_67, yields:
% 7.45/2.45 | (322) all_97_0_69 = all_91_0_67
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (15) with all_49_1_54, all_89_0_65, all_91_0_67 and discharging atoms q(all_49_1_54) = all_91_0_67, q(all_49_1_54) = all_89_0_65, yields:
% 7.45/2.45 | (323) all_91_0_67 = all_89_0_65
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (15) with all_49_1_54, all_87_0_63, all_97_0_69 and discharging atoms q(all_49_1_54) = all_97_0_69, q(all_49_1_54) = all_87_0_63, yields:
% 7.45/2.45 | (324) all_97_0_69 = all_87_0_63
% 7.45/2.45 |
% 7.45/2.45 | Instantiating formula (15) with all_49_1_54, 0, all_89_0_65 and discharging atoms q(all_49_1_54) = all_89_0_65, q(all_49_1_54) = 0, yields:
% 7.45/2.45 | (325) all_89_0_65 = 0
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (322,324) yields a new equation:
% 7.45/2.45 | (326) all_91_0_67 = all_87_0_63
% 7.45/2.45 |
% 7.45/2.45 | Simplifying 326 yields:
% 7.45/2.45 | (327) all_91_0_67 = all_87_0_63
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (323,327) yields a new equation:
% 7.45/2.45 | (328) all_89_0_65 = all_87_0_63
% 7.45/2.45 |
% 7.45/2.45 | Simplifying 328 yields:
% 7.45/2.45 | (329) all_89_0_65 = all_87_0_63
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (329,325) yields a new equation:
% 7.45/2.45 | (330) all_87_0_63 = 0
% 7.45/2.45 |
% 7.45/2.45 | Simplifying 330 yields:
% 7.45/2.45 | (331) all_87_0_63 = 0
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (331,324) yields a new equation:
% 7.45/2.45 | (332) all_97_0_69 = 0
% 7.45/2.45 |
% 7.45/2.45 | Equations (332) can reduce 318 to:
% 7.45/2.45 | (90) $false
% 7.45/2.45 |
% 7.45/2.45 |-The branch is then unsatisfiable
% 7.45/2.45 |-Branch two:
% 7.45/2.45 | (334) all_13_1_18 = 0 & ~ (all_30_1_22 = 0)
% 7.45/2.45 |
% 7.45/2.45 | Applying alpha-rule on (334) yields:
% 7.45/2.45 | (335) all_13_1_18 = 0
% 7.45/2.45 | (336) ~ (all_30_1_22 = 0)
% 7.45/2.45 |
% 7.45/2.45 | Combining equations (335,74) yields a new equation:
% 7.45/2.45 | (337) all_30_1_22 = 0
% 7.45/2.45 |
% 7.45/2.45 | Equations (337) can reduce 336 to:
% 7.45/2.45 | (90) $false
% 7.45/2.45 |
% 7.45/2.45 |-The branch is then unsatisfiable
% 7.45/2.45 |-Branch two:
% 7.45/2.45 | (339) ~ (all_5_1_11 = 0)
% 7.45/2.45 | (340) ? [v0] : ? [v1] : ? [v2] : (p(v0) = v1 & f(all_5_5_15) = v0 & q(all_5_4_14) = v2 & ( ~ (v2 = 0) | (v1 = 0 & ~ (all_5_3_13 = 0))))
% 7.45/2.45 |
% 7.45/2.45 | Instantiating (340) with all_19_0_72, all_19_1_73, all_19_2_74 yields:
% 7.45/2.45 | (341) p(all_19_2_74) = all_19_1_73 & f(all_5_5_15) = all_19_2_74 & q(all_5_4_14) = all_19_0_72 & ( ~ (all_19_0_72 = 0) | (all_19_1_73 = 0 & ~ (all_5_3_13 = 0)))
% 7.45/2.46 |
% 7.45/2.46 | Applying alpha-rule on (341) yields:
% 7.45/2.46 | (342) p(all_19_2_74) = all_19_1_73
% 7.45/2.46 | (343) f(all_5_5_15) = all_19_2_74
% 7.45/2.46 | (344) q(all_5_4_14) = all_19_0_72
% 7.45/2.46 | (345) ~ (all_19_0_72 = 0) | (all_19_1_73 = 0 & ~ (all_5_3_13 = 0))
% 7.45/2.46 |
% 7.45/2.46 +-Applying beta-rule and splitting (39), into two cases.
% 7.45/2.46 |-Branch one:
% 7.45/2.46 | (48) all_5_1_11 = 0
% 7.45/2.46 |
% 7.45/2.46 | Equations (48) can reduce 339 to:
% 7.45/2.46 | (90) $false
% 7.45/2.46 |
% 7.45/2.46 |-The branch is then unsatisfiable
% 7.45/2.46 |-Branch two:
% 7.45/2.46 | (339) ~ (all_5_1_11 = 0)
% 7.45/2.46 | (219) ? [v0] : ? [v1] : ( ~ (v1 = 0) & p(v0) = 0 & p(all_3_0_8) = v1 & f(all_5_5_15) = v0)
% 7.45/2.46 |
% 7.45/2.46 | Instantiating formula (14) with all_5_5_15, all_13_0_17, all_5_1_11 and discharging atoms r(all_5_5_15) = all_13_0_17, r(all_5_5_15) = all_5_1_11, yields:
% 7.45/2.46 | (350) all_13_0_17 = all_5_1_11
% 7.45/2.46 |
% 7.45/2.46 | Instantiating formula (15) with all_5_4_14, 0, all_19_0_72 and discharging atoms q(all_5_4_14) = all_19_0_72, q(all_5_4_14) = 0, yields:
% 7.45/2.46 | (351) all_19_0_72 = 0
% 7.45/2.46 |
% 7.45/2.46 +-Applying beta-rule and splitting (345), into two cases.
% 7.45/2.46 |-Branch one:
% 7.45/2.46 | (352) ~ (all_19_0_72 = 0)
% 7.45/2.46 |
% 7.45/2.46 | Equations (351) can reduce 352 to:
% 7.45/2.46 | (90) $false
% 7.45/2.46 |
% 7.45/2.46 |-The branch is then unsatisfiable
% 7.45/2.46 |-Branch two:
% 7.45/2.46 | (351) all_19_0_72 = 0
% 7.45/2.46 | (355) all_19_1_73 = 0 & ~ (all_5_3_13 = 0)
% 7.45/2.46 |
% 7.45/2.46 | Applying alpha-rule on (355) yields:
% 7.45/2.46 | (356) all_19_1_73 = 0
% 7.45/2.46 | (161) ~ (all_5_3_13 = 0)
% 7.45/2.46 |
% 7.45/2.46 +-Applying beta-rule and splitting (47), into two cases.
% 7.45/2.46 |-Branch one:
% 7.45/2.46 | (358) all_13_0_17 = 0 & ( ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0))
% 7.45/2.46 |
% 7.45/2.46 | Applying alpha-rule on (358) yields:
% 7.45/2.46 | (50) all_13_0_17 = 0
% 7.45/2.46 | (83) ~ (all_0_0_0 = 0) | ~ (all_0_1_1 = 0)
% 7.45/2.46 |
% 7.45/2.46 | Combining equations (50,350) yields a new equation:
% 7.45/2.46 | (48) all_5_1_11 = 0
% 7.45/2.46 |
% 7.45/2.46 | Equations (48) can reduce 339 to:
% 7.45/2.46 | (90) $false
% 7.45/2.46 |
% 7.45/2.46 |-The branch is then unsatisfiable
% 7.45/2.46 |-Branch two:
% 7.45/2.46 | (363) all_5_3_13 = 0 & ~ (all_13_1_18 = 0)
% 7.45/2.46 |
% 7.45/2.46 | Applying alpha-rule on (363) yields:
% 7.45/2.46 | (364) all_5_3_13 = 0
% 7.45/2.46 | (294) ~ (all_13_1_18 = 0)
% 7.45/2.46 |
% 7.45/2.46 | Equations (364) can reduce 161 to:
% 7.45/2.46 | (90) $false
% 7.45/2.46 |
% 7.45/2.46 |-The branch is then unsatisfiable
% 7.45/2.46 % SZS output end Proof for theBenchmark
% 7.45/2.46
% 7.45/2.46 1859ms
%------------------------------------------------------------------------------