TSTP Solution File: ALG074+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG074+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 14 15:34:14 EDT 2022
% Result : Theorem 11.05s 3.65s
% Output : Proof 28.38s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : ALG074+1 : TPTP v8.1.0. Released v2.7.0.
% 0.10/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n029.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 04:23:21 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.58 (ePrincess v.1.0)
% 0.18/0.58
% 0.18/0.58 (c) Philipp Rümmer, 2009-2015
% 0.18/0.58 (c) Peter Backeman, 2014-2015
% 0.18/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.58 Bug reports to peter@backeman.se
% 0.18/0.58
% 0.18/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.58
% 0.18/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.44/0.90 Prover 0: Preprocessing ...
% 1.96/1.12 Prover 0: Constructing countermodel ...
% 11.05/3.65 Prover 0: proved (3021ms)
% 11.05/3.65
% 11.05/3.65 No countermodel exists, formula is valid
% 11.05/3.65 % SZS status Theorem for theBenchmark
% 11.05/3.65
% 11.05/3.65 Generating proof ... found it (size 870)
% 27.08/9.13
% 27.08/9.13 % SZS output start Proof for theBenchmark
% 27.08/9.13 Assumed formulas after preprocessing and simplification:
% 27.08/9.13 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v1) & ~ (v3 = v2) & op1(v3, v1) = v0 & op1(v3, v0) = v4 & op1(v1, v0) = v2 & op1(v0, v1) = v3 & sorti1(v1) & sorti1(v0) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v6 | ~ (op2(v7, v5) = v8) | ~ (op2(v5, v6) = v7) | ~ sorti2(v6) | ~ sorti2(v5) | ? [v9] : ? [v10] : (op2(v7, v6) = v10 & op2(v6, v5) = v9 & ( ~ (v10 = v5) | v9 = v7))) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (op2(v8, v7) = v6) | ~ (op2(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v6 = v5 | ~ (op1(v8, v7) = v6) | ~ (op1(v8, v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (j(v7) = v6) | ~ (j(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : (v6 = v5 | ~ (h(v7) = v6) | ~ (h(v7) = v5)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (op2(v7, v6) = v5) | ~ (op2(v5, v6) = v7) | ~ sorti2(v6) | ~ sorti2(v5) | ? [v8] : ? [v9] : (op2(v7, v5) = v9 & op2(v6, v5) = v8 & (v9 = v6 | v8 = v7))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (op2(v6, v5) = v7) | ~ sorti2(v6) | ~ sorti2(v5) | ? [v8] : ? [v9] : ? [v10] : (op2(v8, v6) = v9 & op2(v8, v5) = v10 & op2(v5, v6) = v8 & ( ~ (v9 = v5) | v10 = v6 | v8 = v7))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (op2(v5, v6) = v7) | ~ sorti2(v6) | ~ sorti2(v5) | sorti2(v7)) & ! [v5] : ! [v6] : ! [v7] : ( ~ (op2(v5, v6) = v7) | ~ sorti2(v6) | ~ sorti2(v5) | ? [v8] : ? [v9] : ? [v10] : (op2(v7, v6) = v9 & op2(v7, v5) = v10 & op2(v6, v5) = v8 & ( ~ (v9 = v5) | v10 = v6 | v8 = v7))) & ! [v5] : ! [v6] : ! [v7] : ( ~ (op1(v5, v6) = v7) | ~ sorti1(v6) | ~ sorti1(v5) | sorti1(v7)) & ! [v5] : ( ~ sorti2(v5) | ? [v6] : (j(v5) = v6 & h(v6) = v5)) & ! [v5] : ( ~ sorti2(v5) | ? [v6] : (j(v5) = v6 & sorti1(v6))) & ! [v5] : ( ~ sorti2(v5) | ? [v6] : (j(v5) = v6 & ! [v7] : ( ~ sorti2(v7) | ? [v8] : ? [v9] : ? [v10] : (j(v8) = v9 & j(v7) = v10 & op2(v5, v7) = v8 & op1(v6, v10) = v9)))) & ! [v5] : ( ~ sorti1(v5) | ? [v6] : (j(v6) = v5 & h(v5) = v6)) & ! [v5] : ( ~ sorti1(v5) | ? [v6] : (h(v5) = v6 & sorti2(v6))) & ! [v5] : ( ~ sorti1(v5) | ? [v6] : (h(v5) = v6 & ! [v7] : ( ~ sorti1(v7) | ? [v8] : ? [v9] : ? [v10] : (h(v8) = v9 & h(v7) = v10 & op2(v6, v10) = v9 & op1(v5, v7) = v8)))))
% 27.08/9.16 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4 yields:
% 27.08/9.16 | (1) ~ (all_0_0_0 = all_0_3_3) & ~ (all_0_1_1 = all_0_2_2) & op1(all_0_1_1, all_0_3_3) = all_0_4_4 & op1(all_0_1_1, all_0_4_4) = all_0_0_0 & op1(all_0_3_3, all_0_4_4) = all_0_2_2 & op1(all_0_4_4, all_0_3_3) = all_0_1_1 & sorti1(all_0_3_3) & sorti1(all_0_4_4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (op2(v2, v0) = v3) | ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v4] : ? [v5] : (op2(v2, v1) = v5 & op2(v1, v0) = v4 & ( ~ (v5 = v0) | v4 = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v2, v1) = v0) | ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : (op2(v2, v0) = v4 & op2(v1, v0) = v3 & (v4 = v1 | v3 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v1, v0) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : ? [v5] : (op2(v3, v1) = v4 & op2(v3, v0) = v5 & op2(v0, v1) = v3 & ( ~ (v4 = v0) | v5 = v1 | v3 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | sorti2(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : ? [v5] : (op2(v2, v1) = v4 & op2(v2, v0) = v5 & op2(v1, v0) = v3 & ( ~ (v4 = v0) | v5 = v1 | v3 = v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (op1(v0, v1) = v2) | ~ sorti1(v1) | ~ sorti1(v0) | sorti1(v2)) & ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & h(v1) = v0)) & ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & sorti1(v1))) & ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & ! [v2] : ( ~ sorti2(v2) | ? [v3] : ? [v4] : ? [v5] : (j(v3) = v4 & j(v2) = v5 & op2(v0, v2) = v3 & op1(v1, v5) = v4)))) & ! [v0] : ( ~ sorti1(v0) | ? [v1] : (j(v1) = v0 & h(v0) = v1)) & ! [v0] : ( ~ sorti1(v0) | ? [v1] : (h(v0) = v1 & sorti2(v1))) & ! [v0] : ( ~ sorti1(v0) | ? [v1] : (h(v0) = v1 & ! [v2] : ( ~ sorti1(v2) | ? [v3] : ? [v4] : ? [v5] : (h(v3) = v4 & h(v2) = v5 & op2(v1, v5) = v4 & op1(v0, v2) = v3))))
% 27.08/9.18 |
% 27.08/9.18 | Applying alpha-rule on (1) yields:
% 27.08/9.18 | (2) ~ (all_0_0_0 = all_0_3_3)
% 27.08/9.18 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : ? [v5] : (op2(v2, v1) = v4 & op2(v2, v0) = v5 & op2(v1, v0) = v3 & ( ~ (v4 = v0) | v5 = v1 | v3 = v2)))
% 27.08/9.18 | (4) op1(all_0_1_1, all_0_3_3) = all_0_4_4
% 27.08/9.18 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 27.08/9.18 | (6) sorti1(all_0_4_4)
% 27.08/9.18 | (7) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h(v2) = v1) | ~ (h(v2) = v0))
% 27.08/9.18 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (op2(v2, v0) = v3) | ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v4] : ? [v5] : (op2(v2, v1) = v5 & op2(v1, v0) = v4 & ( ~ (v5 = v0) | v4 = v2)))
% 27.08/9.18 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 27.08/9.18 | (10) op1(all_0_3_3, all_0_4_4) = all_0_2_2
% 27.08/9.18 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (j(v2) = v1) | ~ (j(v2) = v0))
% 27.08/9.18 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v1, v0) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : ? [v5] : (op2(v3, v1) = v4 & op2(v3, v0) = v5 & op2(v0, v1) = v3 & ( ~ (v4 = v0) | v5 = v1 | v3 = v2)))
% 27.08/9.18 | (13) ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & ! [v2] : ( ~ sorti2(v2) | ? [v3] : ? [v4] : ? [v5] : (j(v3) = v4 & j(v2) = v5 & op2(v0, v2) = v3 & op1(v1, v5) = v4))))
% 27.08/9.18 | (14) op1(all_0_1_1, all_0_4_4) = all_0_0_0
% 27.08/9.18 | (15) ! [v0] : ( ~ sorti1(v0) | ? [v1] : (h(v0) = v1 & ! [v2] : ( ~ sorti1(v2) | ? [v3] : ? [v4] : ? [v5] : (h(v3) = v4 & h(v2) = v5 & op2(v1, v5) = v4 & op1(v0, v2) = v3))))
% 27.08/9.18 | (16) ! [v0] : ( ~ sorti1(v0) | ? [v1] : (j(v1) = v0 & h(v0) = v1))
% 27.08/9.18 | (17) ! [v0] : ( ~ sorti1(v0) | ? [v1] : (h(v0) = v1 & sorti2(v1)))
% 27.08/9.18 | (18) ! [v0] : ! [v1] : ! [v2] : ( ~ (op1(v0, v1) = v2) | ~ sorti1(v1) | ~ sorti1(v0) | sorti1(v2))
% 27.08/9.18 | (19) sorti1(all_0_3_3)
% 27.08/9.18 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | sorti2(v2))
% 27.08/9.18 | (21) ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & h(v1) = v0))
% 27.08/9.18 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (op2(v2, v1) = v0) | ~ (op2(v0, v1) = v2) | ~ sorti2(v1) | ~ sorti2(v0) | ? [v3] : ? [v4] : (op2(v2, v0) = v4 & op2(v1, v0) = v3 & (v4 = v1 | v3 = v2)))
% 27.08/9.19 | (23) op1(all_0_4_4, all_0_3_3) = all_0_1_1
% 27.08/9.19 | (24) ~ (all_0_1_1 = all_0_2_2)
% 27.08/9.19 | (25) ! [v0] : ( ~ sorti2(v0) | ? [v1] : (j(v0) = v1 & sorti1(v1)))
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (16) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.08/9.19 | (26) ? [v0] : (j(v0) = all_0_3_3 & h(all_0_3_3) = v0)
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (17) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.08/9.19 | (27) ? [v0] : (h(all_0_3_3) = v0 & sorti2(v0))
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (15) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.08/9.19 | (28) ? [v0] : (h(all_0_3_3) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_0_3_3, v1) = v2)))
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (18) with all_0_2_2, all_0_4_4, all_0_3_3 and discharging atoms op1(all_0_3_3, all_0_4_4) = all_0_2_2, sorti1(all_0_3_3), sorti1(all_0_4_4), yields:
% 27.08/9.19 | (29) sorti1(all_0_2_2)
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (18) with all_0_1_1, all_0_3_3, all_0_4_4 and discharging atoms op1(all_0_4_4, all_0_3_3) = all_0_1_1, sorti1(all_0_3_3), sorti1(all_0_4_4), yields:
% 27.08/9.19 | (30) sorti1(all_0_1_1)
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (16) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.08/9.19 | (31) ? [v0] : (j(v0) = all_0_4_4 & h(all_0_4_4) = v0)
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (17) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.08/9.19 | (32) ? [v0] : (h(all_0_4_4) = v0 & sorti2(v0))
% 27.08/9.19 |
% 27.08/9.19 | Instantiating formula (15) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.08/9.19 | (33) ? [v0] : (h(all_0_4_4) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_0_4_4, v1) = v2)))
% 27.08/9.19 |
% 27.08/9.19 | Instantiating (27) with all_9_0_5 yields:
% 27.08/9.19 | (34) h(all_0_3_3) = all_9_0_5 & sorti2(all_9_0_5)
% 27.08/9.19 |
% 27.08/9.19 | Applying alpha-rule on (34) yields:
% 27.08/9.19 | (35) h(all_0_3_3) = all_9_0_5
% 27.08/9.19 | (36) sorti2(all_9_0_5)
% 27.08/9.19 |
% 27.47/9.19 | Instantiating (33) with all_11_0_6 yields:
% 27.47/9.19 | (37) h(all_0_4_4) = all_11_0_6 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_11_0_6, v3) = v2 & op1(all_0_4_4, v0) = v1))
% 27.47/9.19 |
% 27.47/9.19 | Applying alpha-rule on (37) yields:
% 27.47/9.19 | (38) h(all_0_4_4) = all_11_0_6
% 27.47/9.19 | (39) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_11_0_6, v3) = v2 & op1(all_0_4_4, v0) = v1))
% 27.47/9.19 |
% 27.47/9.19 | Instantiating formula (39) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.47/9.19 | (40) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_3_3) = v2 & op2(all_11_0_6, v2) = v1 & op1(all_0_4_4, all_0_3_3) = v0)
% 27.47/9.19 |
% 27.47/9.19 | Instantiating formula (39) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.47/9.19 | (41) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_4_4) = v2 & op2(all_11_0_6, v2) = v1 & op1(all_0_4_4, all_0_4_4) = v0)
% 27.47/9.19 |
% 27.47/9.19 | Instantiating (32) with all_14_0_7 yields:
% 27.47/9.19 | (42) h(all_0_4_4) = all_14_0_7 & sorti2(all_14_0_7)
% 27.47/9.19 |
% 27.47/9.19 | Applying alpha-rule on (42) yields:
% 27.47/9.19 | (43) h(all_0_4_4) = all_14_0_7
% 27.47/9.19 | (44) sorti2(all_14_0_7)
% 27.47/9.19 |
% 27.47/9.19 | Instantiating (26) with all_16_0_8 yields:
% 27.47/9.19 | (45) j(all_16_0_8) = all_0_3_3 & h(all_0_3_3) = all_16_0_8
% 27.47/9.19 |
% 27.47/9.19 | Applying alpha-rule on (45) yields:
% 27.47/9.19 | (46) j(all_16_0_8) = all_0_3_3
% 27.47/9.19 | (47) h(all_0_3_3) = all_16_0_8
% 27.47/9.19 |
% 27.47/9.19 | Instantiating (31) with all_18_0_9 yields:
% 27.47/9.19 | (48) j(all_18_0_9) = all_0_4_4 & h(all_0_4_4) = all_18_0_9
% 27.47/9.19 |
% 27.47/9.19 | Applying alpha-rule on (48) yields:
% 27.47/9.19 | (49) j(all_18_0_9) = all_0_4_4
% 27.47/9.19 | (50) h(all_0_4_4) = all_18_0_9
% 27.47/9.19 |
% 27.47/9.19 | Instantiating (28) with all_20_0_10 yields:
% 27.47/9.19 | (51) h(all_0_3_3) = all_20_0_10 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_20_0_10, v3) = v2 & op1(all_0_3_3, v0) = v1))
% 27.47/9.20 |
% 27.47/9.20 | Applying alpha-rule on (51) yields:
% 27.47/9.20 | (52) h(all_0_3_3) = all_20_0_10
% 27.47/9.20 | (53) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_20_0_10, v3) = v2 & op1(all_0_3_3, v0) = v1))
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (53) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.47/9.20 | (54) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_3_3) = v2 & op2(all_20_0_10, v2) = v1 & op1(all_0_3_3, all_0_3_3) = v0)
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (53) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.47/9.20 | (55) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_4_4) = v2 & op2(all_20_0_10, v2) = v1 & op1(all_0_3_3, all_0_4_4) = v0)
% 27.47/9.20 |
% 27.47/9.20 | Instantiating (41) with all_23_0_11, all_23_1_12, all_23_2_13 yields:
% 27.47/9.20 | (56) h(all_23_2_13) = all_23_1_12 & h(all_0_4_4) = all_23_0_11 & op2(all_11_0_6, all_23_0_11) = all_23_1_12 & op1(all_0_4_4, all_0_4_4) = all_23_2_13
% 27.47/9.20 |
% 27.47/9.20 | Applying alpha-rule on (56) yields:
% 27.47/9.20 | (57) h(all_23_2_13) = all_23_1_12
% 27.47/9.20 | (58) h(all_0_4_4) = all_23_0_11
% 27.47/9.20 | (59) op2(all_11_0_6, all_23_0_11) = all_23_1_12
% 27.47/9.20 | (60) op1(all_0_4_4, all_0_4_4) = all_23_2_13
% 27.47/9.20 |
% 27.47/9.20 | Instantiating (40) with all_25_0_14, all_25_1_15, all_25_2_16 yields:
% 27.47/9.20 | (61) h(all_25_2_16) = all_25_1_15 & h(all_0_3_3) = all_25_0_14 & op2(all_11_0_6, all_25_0_14) = all_25_1_15 & op1(all_0_4_4, all_0_3_3) = all_25_2_16
% 27.47/9.20 |
% 27.47/9.20 | Applying alpha-rule on (61) yields:
% 27.47/9.20 | (62) h(all_25_2_16) = all_25_1_15
% 27.47/9.20 | (63) h(all_0_3_3) = all_25_0_14
% 27.47/9.20 | (64) op2(all_11_0_6, all_25_0_14) = all_25_1_15
% 27.47/9.20 | (65) op1(all_0_4_4, all_0_3_3) = all_25_2_16
% 27.47/9.20 |
% 27.47/9.20 | Instantiating (55) with all_27_0_17, all_27_1_18, all_27_2_19 yields:
% 27.47/9.20 | (66) h(all_27_2_19) = all_27_1_18 & h(all_0_4_4) = all_27_0_17 & op2(all_20_0_10, all_27_0_17) = all_27_1_18 & op1(all_0_3_3, all_0_4_4) = all_27_2_19
% 27.47/9.20 |
% 27.47/9.20 | Applying alpha-rule on (66) yields:
% 27.47/9.20 | (67) h(all_27_2_19) = all_27_1_18
% 27.47/9.20 | (68) h(all_0_4_4) = all_27_0_17
% 27.47/9.20 | (69) op2(all_20_0_10, all_27_0_17) = all_27_1_18
% 27.47/9.20 | (70) op1(all_0_3_3, all_0_4_4) = all_27_2_19
% 27.47/9.20 |
% 27.47/9.20 | Instantiating (54) with all_29_0_20, all_29_1_21, all_29_2_22 yields:
% 27.47/9.20 | (71) h(all_29_2_22) = all_29_1_21 & h(all_0_3_3) = all_29_0_20 & op2(all_20_0_10, all_29_0_20) = all_29_1_21 & op1(all_0_3_3, all_0_3_3) = all_29_2_22
% 27.47/9.20 |
% 27.47/9.20 | Applying alpha-rule on (71) yields:
% 27.47/9.20 | (72) h(all_29_2_22) = all_29_1_21
% 27.47/9.20 | (73) h(all_0_3_3) = all_29_0_20
% 27.47/9.20 | (74) op2(all_20_0_10, all_29_0_20) = all_29_1_21
% 27.47/9.20 | (75) op1(all_0_3_3, all_0_3_3) = all_29_2_22
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (7) with all_0_3_3, all_25_0_14, all_29_0_20 and discharging atoms h(all_0_3_3) = all_29_0_20, h(all_0_3_3) = all_25_0_14, yields:
% 27.47/9.20 | (76) all_29_0_20 = all_25_0_14
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (7) with all_0_3_3, all_20_0_10, all_25_0_14 and discharging atoms h(all_0_3_3) = all_25_0_14, h(all_0_3_3) = all_20_0_10, yields:
% 27.47/9.20 | (77) all_25_0_14 = all_20_0_10
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (7) with all_0_3_3, all_16_0_8, all_20_0_10 and discharging atoms h(all_0_3_3) = all_20_0_10, h(all_0_3_3) = all_16_0_8, yields:
% 27.47/9.20 | (78) all_20_0_10 = all_16_0_8
% 27.47/9.20 |
% 27.47/9.20 | Instantiating formula (7) with all_0_3_3, all_9_0_5, all_29_0_20 and discharging atoms h(all_0_3_3) = all_29_0_20, h(all_0_3_3) = all_9_0_5, yields:
% 27.52/9.20 | (79) all_29_0_20 = all_9_0_5
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (7) with all_0_4_4, all_23_0_11, all_27_0_17 and discharging atoms h(all_0_4_4) = all_27_0_17, h(all_0_4_4) = all_23_0_11, yields:
% 27.52/9.20 | (80) all_27_0_17 = all_23_0_11
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (7) with all_0_4_4, all_18_0_9, all_27_0_17 and discharging atoms h(all_0_4_4) = all_27_0_17, h(all_0_4_4) = all_18_0_9, yields:
% 27.52/9.20 | (81) all_27_0_17 = all_18_0_9
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (7) with all_0_4_4, all_14_0_7, all_27_0_17 and discharging atoms h(all_0_4_4) = all_27_0_17, h(all_0_4_4) = all_14_0_7, yields:
% 27.52/9.20 | (82) all_27_0_17 = all_14_0_7
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (7) with all_0_4_4, all_11_0_6, all_27_0_17 and discharging atoms h(all_0_4_4) = all_27_0_17, h(all_0_4_4) = all_11_0_6, yields:
% 27.52/9.20 | (83) all_27_0_17 = all_11_0_6
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (5) with all_0_3_3, all_0_4_4, all_27_2_19, all_0_2_2 and discharging atoms op1(all_0_3_3, all_0_4_4) = all_27_2_19, op1(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 27.52/9.20 | (84) all_27_2_19 = all_0_2_2
% 27.52/9.20 |
% 27.52/9.20 | Instantiating formula (5) with all_0_4_4, all_0_3_3, all_25_2_16, all_0_1_1 and discharging atoms op1(all_0_4_4, all_0_3_3) = all_25_2_16, op1(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 27.52/9.20 | (85) all_25_2_16 = all_0_1_1
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (76,79) yields a new equation:
% 27.52/9.20 | (86) all_25_0_14 = all_9_0_5
% 27.52/9.20 |
% 27.52/9.20 | Simplifying 86 yields:
% 27.52/9.20 | (87) all_25_0_14 = all_9_0_5
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (82,80) yields a new equation:
% 27.52/9.20 | (88) all_23_0_11 = all_14_0_7
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (81,80) yields a new equation:
% 27.52/9.20 | (89) all_23_0_11 = all_18_0_9
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (83,80) yields a new equation:
% 27.52/9.20 | (90) all_23_0_11 = all_11_0_6
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (77,87) yields a new equation:
% 27.52/9.20 | (91) all_20_0_10 = all_9_0_5
% 27.52/9.20 |
% 27.52/9.20 | Simplifying 91 yields:
% 27.52/9.20 | (92) all_20_0_10 = all_9_0_5
% 27.52/9.20 |
% 27.52/9.20 | Combining equations (90,89) yields a new equation:
% 27.52/9.20 | (93) all_18_0_9 = all_11_0_6
% 27.52/9.21 |
% 27.52/9.21 | Combining equations (88,89) yields a new equation:
% 27.52/9.21 | (94) all_18_0_9 = all_14_0_7
% 27.52/9.21 |
% 27.52/9.21 | Combining equations (78,92) yields a new equation:
% 27.52/9.21 | (95) all_16_0_8 = all_9_0_5
% 27.52/9.21 |
% 27.52/9.21 | Simplifying 95 yields:
% 27.52/9.21 | (96) all_16_0_8 = all_9_0_5
% 27.52/9.21 |
% 27.52/9.21 | Combining equations (94,93) yields a new equation:
% 27.52/9.21 | (97) all_14_0_7 = all_11_0_6
% 27.52/9.21 |
% 27.52/9.21 | Simplifying 97 yields:
% 27.52/9.21 | (98) all_14_0_7 = all_11_0_6
% 27.52/9.21 |
% 27.52/9.21 | Combining equations (93,89) yields a new equation:
% 27.52/9.21 | (90) all_23_0_11 = all_11_0_6
% 27.52/9.21 |
% 27.52/9.21 | Combining equations (90,80) yields a new equation:
% 27.52/9.21 | (83) all_27_0_17 = all_11_0_6
% 27.52/9.21 |
% 27.52/9.21 | From (93) and (49) follows:
% 27.52/9.21 | (101) j(all_11_0_6) = all_0_4_4
% 27.52/9.21 |
% 27.52/9.21 | From (96) and (46) follows:
% 27.52/9.21 | (102) j(all_9_0_5) = all_0_3_3
% 27.52/9.21 |
% 27.52/9.21 | From (84) and (67) follows:
% 27.55/9.21 | (103) h(all_0_2_2) = all_27_1_18
% 27.55/9.21 |
% 27.55/9.21 | From (85) and (62) follows:
% 27.55/9.21 | (104) h(all_0_1_1) = all_25_1_15
% 27.55/9.21 |
% 27.55/9.21 | From (96) and (47) follows:
% 27.55/9.21 | (35) h(all_0_3_3) = all_9_0_5
% 27.55/9.21 |
% 27.55/9.21 | From (98) and (43) follows:
% 27.55/9.21 | (38) h(all_0_4_4) = all_11_0_6
% 27.55/9.21 |
% 27.55/9.21 | From (92)(79) and (74) follows:
% 27.55/9.21 | (107) op2(all_9_0_5, all_9_0_5) = all_29_1_21
% 27.55/9.21 |
% 27.55/9.21 | From (92)(83) and (69) follows:
% 27.55/9.21 | (108) op2(all_9_0_5, all_11_0_6) = all_27_1_18
% 27.55/9.21 |
% 27.55/9.21 | From (87) and (64) follows:
% 27.55/9.21 | (109) op2(all_11_0_6, all_9_0_5) = all_25_1_15
% 27.55/9.21 |
% 27.55/9.21 | From (90) and (59) follows:
% 27.55/9.21 | (110) op2(all_11_0_6, all_11_0_6) = all_23_1_12
% 27.55/9.21 |
% 27.55/9.21 | From (84) and (70) follows:
% 27.55/9.21 | (10) op1(all_0_3_3, all_0_4_4) = all_0_2_2
% 27.55/9.21 |
% 27.55/9.21 | From (85) and (65) follows:
% 27.55/9.21 | (23) op1(all_0_4_4, all_0_3_3) = all_0_1_1
% 27.55/9.21 |
% 27.55/9.21 | From (98) and (44) follows:
% 27.55/9.21 | (113) sorti2(all_11_0_6)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (18) with all_29_2_22, all_0_3_3, all_0_3_3 and discharging atoms op1(all_0_3_3, all_0_3_3) = all_29_2_22, sorti1(all_0_3_3), yields:
% 27.55/9.21 | (114) sorti1(all_29_2_22)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (18) with all_23_2_13, all_0_4_4, all_0_4_4 and discharging atoms op1(all_0_4_4, all_0_4_4) = all_23_2_13, sorti1(all_0_4_4), yields:
% 27.55/9.21 | (115) sorti1(all_23_2_13)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (20) with all_23_1_12, all_11_0_6, all_11_0_6 and discharging atoms op2(all_11_0_6, all_11_0_6) = all_23_1_12, sorti2(all_11_0_6), yields:
% 27.55/9.21 | (116) sorti2(all_23_1_12)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (13) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 27.55/9.21 | (117) ? [v0] : (j(all_11_0_6) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_11_0_6, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (12) with all_25_1_15, all_11_0_6, all_9_0_5 and discharging atoms op2(all_11_0_6, all_9_0_5) = all_25_1_15, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.21 | (118) ? [v0] : ? [v1] : ? [v2] : (op2(v0, all_11_0_6) = v1 & op2(v0, all_9_0_5) = v2 & op2(all_9_0_5, all_11_0_6) = v0 & ( ~ (v1 = all_9_0_5) | v2 = all_11_0_6 | v0 = all_25_1_15))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (3) with all_25_1_15, all_9_0_5, all_11_0_6 and discharging atoms op2(all_11_0_6, all_9_0_5) = all_25_1_15, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.21 | (119) ? [v0] : ? [v1] : ? [v2] : (op2(all_25_1_15, all_11_0_6) = v2 & op2(all_25_1_15, all_9_0_5) = v1 & op2(all_9_0_5, all_11_0_6) = v0 & ( ~ (v1 = all_11_0_6) | v2 = all_9_0_5 | v0 = all_25_1_15))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (12) with all_27_1_18, all_9_0_5, all_11_0_6 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_27_1_18, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.21 | (120) ? [v0] : ? [v1] : ? [v2] : (op2(v0, all_11_0_6) = v2 & op2(v0, all_9_0_5) = v1 & op2(all_11_0_6, all_9_0_5) = v0 & ( ~ (v1 = all_11_0_6) | v2 = all_9_0_5 | v0 = all_27_1_18))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (3) with all_27_1_18, all_11_0_6, all_9_0_5 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_27_1_18, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.21 | (121) ? [v0] : ? [v1] : ? [v2] : (op2(all_27_1_18, all_11_0_6) = v1 & op2(all_27_1_18, all_9_0_5) = v2 & op2(all_11_0_6, all_9_0_5) = v0 & ( ~ (v1 = all_9_0_5) | v2 = all_11_0_6 | v0 = all_27_1_18))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (20) with all_29_1_21, all_9_0_5, all_9_0_5 and discharging atoms op2(all_9_0_5, all_9_0_5) = all_29_1_21, sorti2(all_9_0_5), yields:
% 27.55/9.21 | (122) sorti2(all_29_1_21)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (13) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 27.55/9.21 | (123) ? [v0] : (j(all_9_0_5) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_9_0_5, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (18) with all_0_0_0, all_0_4_4, all_0_1_1 and discharging atoms op1(all_0_1_1, all_0_4_4) = all_0_0_0, sorti1(all_0_1_1), sorti1(all_0_4_4), yields:
% 27.55/9.21 | (124) sorti1(all_0_0_0)
% 27.55/9.21 |
% 27.55/9.21 | Instantiating formula (53) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.21 | (125) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_1_1) = v2 & op2(all_20_0_10, v2) = v1 & op1(all_0_3_3, all_0_1_1) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (39) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.22 | (126) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_1_1) = v2 & op2(all_11_0_6, v2) = v1 & op1(all_0_4_4, all_0_1_1) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (16) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.22 | (127) ? [v0] : (j(v0) = all_0_1_1 & h(all_0_1_1) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (17) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.22 | (128) ? [v0] : (h(all_0_1_1) = v0 & sorti2(v0))
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (15) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.22 | (129) ? [v0] : (h(all_0_1_1) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_0_1_1, v1) = v2)))
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (53) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (130) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_2_2) = v2 & op2(all_20_0_10, v2) = v1 & op1(all_0_3_3, all_0_2_2) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (39) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (131) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_2_2) = v2 & op2(all_11_0_6, v2) = v1 & op1(all_0_4_4, all_0_2_2) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (16) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (132) ? [v0] : (j(v0) = all_0_2_2 & h(all_0_2_2) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (17) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (133) ? [v0] : (h(all_0_2_2) = v0 & sorti2(v0))
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (15) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (134) ? [v0] : (h(all_0_2_2) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_0_2_2, v1) = v2)))
% 27.55/9.22 |
% 27.55/9.22 | Instantiating (131) with all_41_0_23, all_41_1_24, all_41_2_25 yields:
% 27.55/9.22 | (135) h(all_41_2_25) = all_41_1_24 & h(all_0_2_2) = all_41_0_23 & op2(all_11_0_6, all_41_0_23) = all_41_1_24 & op1(all_0_4_4, all_0_2_2) = all_41_2_25
% 27.55/9.22 |
% 27.55/9.22 | Applying alpha-rule on (135) yields:
% 27.55/9.22 | (136) h(all_41_2_25) = all_41_1_24
% 27.55/9.22 | (137) h(all_0_2_2) = all_41_0_23
% 27.55/9.22 | (138) op2(all_11_0_6, all_41_0_23) = all_41_1_24
% 27.55/9.22 | (139) op1(all_0_4_4, all_0_2_2) = all_41_2_25
% 27.55/9.22 |
% 27.55/9.22 | Instantiating (129) with all_43_0_26 yields:
% 27.55/9.22 | (140) h(all_0_1_1) = all_43_0_26 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_43_0_26, v3) = v2 & op1(all_0_1_1, v0) = v1))
% 27.55/9.22 |
% 27.55/9.22 | Applying alpha-rule on (140) yields:
% 27.55/9.22 | (141) h(all_0_1_1) = all_43_0_26
% 27.55/9.22 | (142) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_43_0_26, v3) = v2 & op1(all_0_1_1, v0) = v1))
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (142) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.22 | (143) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_1_1) = v2 & op2(all_43_0_26, v2) = v1 & op1(all_0_1_1, all_0_1_1) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (142) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.22 | (144) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_2_2) = v2 & op2(all_43_0_26, v2) = v1 & op1(all_0_1_1, all_0_2_2) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (142) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.55/9.22 | (145) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_3_3) = v2 & op2(all_43_0_26, v2) = v1 & op1(all_0_1_1, all_0_3_3) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating formula (142) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.55/9.22 | (146) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_4_4) = v2 & op2(all_43_0_26, v2) = v1 & op1(all_0_1_1, all_0_4_4) = v0)
% 27.55/9.22 |
% 27.55/9.22 | Instantiating (120) with all_46_0_27, all_46_1_28, all_46_2_29 yields:
% 27.55/9.22 | (147) op2(all_46_2_29, all_11_0_6) = all_46_0_27 & op2(all_46_2_29, all_9_0_5) = all_46_1_28 & op2(all_11_0_6, all_9_0_5) = all_46_2_29 & ( ~ (all_46_1_28 = all_11_0_6) | all_46_0_27 = all_9_0_5 | all_46_2_29 = all_27_1_18)
% 27.55/9.22 |
% 27.55/9.22 | Applying alpha-rule on (147) yields:
% 27.55/9.22 | (148) op2(all_46_2_29, all_11_0_6) = all_46_0_27
% 27.55/9.22 | (149) op2(all_46_2_29, all_9_0_5) = all_46_1_28
% 27.55/9.22 | (150) op2(all_11_0_6, all_9_0_5) = all_46_2_29
% 27.55/9.22 | (151) ~ (all_46_1_28 = all_11_0_6) | all_46_0_27 = all_9_0_5 | all_46_2_29 = all_27_1_18
% 27.55/9.22 |
% 27.55/9.22 | Instantiating (119) with all_48_0_30, all_48_1_31, all_48_2_32 yields:
% 27.55/9.22 | (152) op2(all_25_1_15, all_11_0_6) = all_48_0_30 & op2(all_25_1_15, all_9_0_5) = all_48_1_31 & op2(all_9_0_5, all_11_0_6) = all_48_2_32 & ( ~ (all_48_1_31 = all_11_0_6) | all_48_0_30 = all_9_0_5 | all_48_2_32 = all_25_1_15)
% 27.55/9.22 |
% 27.55/9.22 | Applying alpha-rule on (152) yields:
% 27.55/9.22 | (153) op2(all_25_1_15, all_11_0_6) = all_48_0_30
% 27.55/9.22 | (154) op2(all_25_1_15, all_9_0_5) = all_48_1_31
% 27.55/9.22 | (155) op2(all_9_0_5, all_11_0_6) = all_48_2_32
% 27.55/9.22 | (156) ~ (all_48_1_31 = all_11_0_6) | all_48_0_30 = all_9_0_5 | all_48_2_32 = all_25_1_15
% 27.55/9.22 |
% 27.55/9.22 | Instantiating (128) with all_50_0_33 yields:
% 27.55/9.22 | (157) h(all_0_1_1) = all_50_0_33 & sorti2(all_50_0_33)
% 27.55/9.22 |
% 27.55/9.22 | Applying alpha-rule on (157) yields:
% 27.55/9.22 | (158) h(all_0_1_1) = all_50_0_33
% 27.55/9.23 | (159) sorti2(all_50_0_33)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (130) with all_52_0_34, all_52_1_35, all_52_2_36 yields:
% 27.55/9.23 | (160) h(all_52_2_36) = all_52_1_35 & h(all_0_2_2) = all_52_0_34 & op2(all_20_0_10, all_52_0_34) = all_52_1_35 & op1(all_0_3_3, all_0_2_2) = all_52_2_36
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (160) yields:
% 27.55/9.23 | (161) h(all_52_2_36) = all_52_1_35
% 27.55/9.23 | (162) h(all_0_2_2) = all_52_0_34
% 27.55/9.23 | (163) op2(all_20_0_10, all_52_0_34) = all_52_1_35
% 27.55/9.23 | (164) op1(all_0_3_3, all_0_2_2) = all_52_2_36
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (125) with all_54_0_37, all_54_1_38, all_54_2_39 yields:
% 27.55/9.23 | (165) h(all_54_2_39) = all_54_1_38 & h(all_0_1_1) = all_54_0_37 & op2(all_20_0_10, all_54_0_37) = all_54_1_38 & op1(all_0_3_3, all_0_1_1) = all_54_2_39
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (165) yields:
% 27.55/9.23 | (166) h(all_54_2_39) = all_54_1_38
% 27.55/9.23 | (167) h(all_0_1_1) = all_54_0_37
% 27.55/9.23 | (168) op2(all_20_0_10, all_54_0_37) = all_54_1_38
% 27.55/9.23 | (169) op1(all_0_3_3, all_0_1_1) = all_54_2_39
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (123) with all_56_0_40 yields:
% 27.55/9.23 | (170) j(all_9_0_5) = all_56_0_40 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_9_0_5, v0) = v1 & op1(all_56_0_40, v3) = v2))
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (170) yields:
% 27.55/9.23 | (171) j(all_9_0_5) = all_56_0_40
% 27.55/9.23 | (172) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_9_0_5, v0) = v1 & op1(all_56_0_40, v3) = v2))
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (172) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 27.55/9.23 | (173) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_11_0_6) = v2 & op2(all_9_0_5, all_11_0_6) = v0 & op1(all_56_0_40, v2) = v1)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (172) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 27.55/9.23 | (174) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_9_0_5, all_9_0_5) = v0 & op1(all_56_0_40, v2) = v1)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (117) with all_59_0_41 yields:
% 27.55/9.23 | (175) j(all_11_0_6) = all_59_0_41 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_11_0_6, v0) = v1 & op1(all_59_0_41, v3) = v2))
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (175) yields:
% 27.55/9.23 | (176) j(all_11_0_6) = all_59_0_41
% 27.55/9.23 | (177) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_11_0_6, v0) = v1 & op1(all_59_0_41, v3) = v2))
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (177) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 27.55/9.23 | (178) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_11_0_6) = v2 & op2(all_11_0_6, all_11_0_6) = v0 & op1(all_59_0_41, v2) = v1)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (177) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 27.55/9.23 | (179) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_11_0_6, all_9_0_5) = v0 & op1(all_59_0_41, v2) = v1)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (118) with all_64_0_45, all_64_1_46, all_64_2_47 yields:
% 27.55/9.23 | (180) op2(all_64_2_47, all_11_0_6) = all_64_1_46 & op2(all_64_2_47, all_9_0_5) = all_64_0_45 & op2(all_9_0_5, all_11_0_6) = all_64_2_47 & ( ~ (all_64_1_46 = all_9_0_5) | all_64_0_45 = all_11_0_6 | all_64_2_47 = all_25_1_15)
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (180) yields:
% 27.55/9.23 | (181) op2(all_64_2_47, all_11_0_6) = all_64_1_46
% 27.55/9.23 | (182) op2(all_64_2_47, all_9_0_5) = all_64_0_45
% 27.55/9.23 | (183) op2(all_9_0_5, all_11_0_6) = all_64_2_47
% 27.55/9.23 | (184) ~ (all_64_1_46 = all_9_0_5) | all_64_0_45 = all_11_0_6 | all_64_2_47 = all_25_1_15
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (121) with all_72_0_57, all_72_1_58, all_72_2_59 yields:
% 27.55/9.23 | (185) op2(all_27_1_18, all_11_0_6) = all_72_1_58 & op2(all_27_1_18, all_9_0_5) = all_72_0_57 & op2(all_11_0_6, all_9_0_5) = all_72_2_59 & ( ~ (all_72_1_58 = all_9_0_5) | all_72_0_57 = all_11_0_6 | all_72_2_59 = all_27_1_18)
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (185) yields:
% 27.55/9.23 | (186) op2(all_27_1_18, all_11_0_6) = all_72_1_58
% 27.55/9.23 | (187) op2(all_27_1_18, all_9_0_5) = all_72_0_57
% 27.55/9.23 | (188) op2(all_11_0_6, all_9_0_5) = all_72_2_59
% 27.55/9.23 | (189) ~ (all_72_1_58 = all_9_0_5) | all_72_0_57 = all_11_0_6 | all_72_2_59 = all_27_1_18
% 27.55/9.23 |
% 27.55/9.23 | Instantiating (134) with all_74_0_60 yields:
% 27.55/9.23 | (190) h(all_0_2_2) = all_74_0_60 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_74_0_60, v3) = v2 & op1(all_0_2_2, v0) = v1))
% 27.55/9.23 |
% 27.55/9.23 | Applying alpha-rule on (190) yields:
% 27.55/9.23 | (191) h(all_0_2_2) = all_74_0_60
% 27.55/9.23 | (192) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_74_0_60, v3) = v2 & op1(all_0_2_2, v0) = v1))
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (192) with all_0_1_1 and discharging atoms sorti1(all_0_1_1), yields:
% 27.55/9.23 | (193) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_1_1) = v2 & op2(all_74_0_60, v2) = v1 & op1(all_0_2_2, all_0_1_1) = v0)
% 27.55/9.23 |
% 27.55/9.23 | Instantiating formula (192) with all_0_2_2 and discharging atoms sorti1(all_0_2_2), yields:
% 27.55/9.23 | (194) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_2_2) = v2 & op2(all_74_0_60, v2) = v1 & op1(all_0_2_2, all_0_2_2) = v0)
% 27.55/9.23 |
% 27.55/9.24 | Instantiating formula (192) with all_0_3_3 and discharging atoms sorti1(all_0_3_3), yields:
% 27.55/9.24 | (195) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_3_3) = v2 & op2(all_74_0_60, v2) = v1 & op1(all_0_2_2, all_0_3_3) = v0)
% 27.55/9.24 |
% 27.55/9.24 | Instantiating formula (192) with all_0_4_4 and discharging atoms sorti1(all_0_4_4), yields:
% 27.55/9.24 | (196) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_4_4) = v2 & op2(all_74_0_60, v2) = v1 & op1(all_0_2_2, all_0_4_4) = v0)
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (127) with all_77_0_61 yields:
% 27.55/9.24 | (197) j(all_77_0_61) = all_0_1_1 & h(all_0_1_1) = all_77_0_61
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (197) yields:
% 27.55/9.24 | (198) j(all_77_0_61) = all_0_1_1
% 27.55/9.24 | (199) h(all_0_1_1) = all_77_0_61
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (133) with all_79_0_62 yields:
% 27.55/9.24 | (200) h(all_0_2_2) = all_79_0_62 & sorti2(all_79_0_62)
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (200) yields:
% 27.55/9.24 | (201) h(all_0_2_2) = all_79_0_62
% 27.55/9.24 | (202) sorti2(all_79_0_62)
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (132) with all_81_0_63 yields:
% 27.55/9.24 | (203) j(all_81_0_63) = all_0_2_2 & h(all_0_2_2) = all_81_0_63
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (203) yields:
% 27.55/9.24 | (204) j(all_81_0_63) = all_0_2_2
% 27.55/9.24 | (205) h(all_0_2_2) = all_81_0_63
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (126) with all_83_0_64, all_83_1_65, all_83_2_66 yields:
% 27.55/9.24 | (206) h(all_83_2_66) = all_83_1_65 & h(all_0_1_1) = all_83_0_64 & op2(all_11_0_6, all_83_0_64) = all_83_1_65 & op1(all_0_4_4, all_0_1_1) = all_83_2_66
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (206) yields:
% 27.55/9.24 | (207) h(all_83_2_66) = all_83_1_65
% 27.55/9.24 | (208) h(all_0_1_1) = all_83_0_64
% 27.55/9.24 | (209) op2(all_11_0_6, all_83_0_64) = all_83_1_65
% 27.55/9.24 | (210) op1(all_0_4_4, all_0_1_1) = all_83_2_66
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (146) with all_85_0_67, all_85_1_68, all_85_2_69 yields:
% 27.55/9.24 | (211) h(all_85_2_69) = all_85_1_68 & h(all_0_4_4) = all_85_0_67 & op2(all_43_0_26, all_85_0_67) = all_85_1_68 & op1(all_0_1_1, all_0_4_4) = all_85_2_69
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (211) yields:
% 27.55/9.24 | (212) h(all_85_2_69) = all_85_1_68
% 27.55/9.24 | (213) h(all_0_4_4) = all_85_0_67
% 27.55/9.24 | (214) op2(all_43_0_26, all_85_0_67) = all_85_1_68
% 27.55/9.24 | (215) op1(all_0_1_1, all_0_4_4) = all_85_2_69
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (145) with all_87_0_70, all_87_1_71, all_87_2_72 yields:
% 27.55/9.24 | (216) h(all_87_2_72) = all_87_1_71 & h(all_0_3_3) = all_87_0_70 & op2(all_43_0_26, all_87_0_70) = all_87_1_71 & op1(all_0_1_1, all_0_3_3) = all_87_2_72
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (216) yields:
% 27.55/9.24 | (217) h(all_87_2_72) = all_87_1_71
% 27.55/9.24 | (218) h(all_0_3_3) = all_87_0_70
% 27.55/9.24 | (219) op2(all_43_0_26, all_87_0_70) = all_87_1_71
% 27.55/9.24 | (220) op1(all_0_1_1, all_0_3_3) = all_87_2_72
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (144) with all_89_0_73, all_89_1_74, all_89_2_75 yields:
% 27.55/9.24 | (221) h(all_89_2_75) = all_89_1_74 & h(all_0_2_2) = all_89_0_73 & op2(all_43_0_26, all_89_0_73) = all_89_1_74 & op1(all_0_1_1, all_0_2_2) = all_89_2_75
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (221) yields:
% 27.55/9.24 | (222) h(all_89_2_75) = all_89_1_74
% 27.55/9.24 | (223) h(all_0_2_2) = all_89_0_73
% 27.55/9.24 | (224) op2(all_43_0_26, all_89_0_73) = all_89_1_74
% 27.55/9.24 | (225) op1(all_0_1_1, all_0_2_2) = all_89_2_75
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (143) with all_91_0_76, all_91_1_77, all_91_2_78 yields:
% 27.55/9.24 | (226) h(all_91_2_78) = all_91_1_77 & h(all_0_1_1) = all_91_0_76 & op2(all_43_0_26, all_91_0_76) = all_91_1_77 & op1(all_0_1_1, all_0_1_1) = all_91_2_78
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (226) yields:
% 27.55/9.24 | (227) h(all_91_2_78) = all_91_1_77
% 27.55/9.24 | (228) h(all_0_1_1) = all_91_0_76
% 27.55/9.24 | (229) op2(all_43_0_26, all_91_0_76) = all_91_1_77
% 27.55/9.24 | (230) op1(all_0_1_1, all_0_1_1) = all_91_2_78
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (174) with all_93_0_79, all_93_1_80, all_93_2_81 yields:
% 27.55/9.24 | (231) j(all_93_2_81) = all_93_1_80 & j(all_9_0_5) = all_93_0_79 & op2(all_9_0_5, all_9_0_5) = all_93_2_81 & op1(all_56_0_40, all_93_0_79) = all_93_1_80
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (231) yields:
% 27.55/9.24 | (232) j(all_93_2_81) = all_93_1_80
% 27.55/9.24 | (233) j(all_9_0_5) = all_93_0_79
% 27.55/9.24 | (234) op2(all_9_0_5, all_9_0_5) = all_93_2_81
% 27.55/9.24 | (235) op1(all_56_0_40, all_93_0_79) = all_93_1_80
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (173) with all_95_0_82, all_95_1_83, all_95_2_84 yields:
% 27.55/9.24 | (236) j(all_95_2_84) = all_95_1_83 & j(all_11_0_6) = all_95_0_82 & op2(all_9_0_5, all_11_0_6) = all_95_2_84 & op1(all_56_0_40, all_95_0_82) = all_95_1_83
% 27.55/9.24 |
% 27.55/9.24 | Applying alpha-rule on (236) yields:
% 27.55/9.24 | (237) j(all_95_2_84) = all_95_1_83
% 27.55/9.24 | (238) j(all_11_0_6) = all_95_0_82
% 27.55/9.24 | (239) op2(all_9_0_5, all_11_0_6) = all_95_2_84
% 27.55/9.24 | (240) op1(all_56_0_40, all_95_0_82) = all_95_1_83
% 27.55/9.24 |
% 27.55/9.24 | Instantiating (179) with all_97_0_85, all_97_1_86, all_97_2_87 yields:
% 27.55/9.24 | (241) j(all_97_2_87) = all_97_1_86 & j(all_9_0_5) = all_97_0_85 & op2(all_11_0_6, all_9_0_5) = all_97_2_87 & op1(all_59_0_41, all_97_0_85) = all_97_1_86
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (241) yields:
% 27.55/9.25 | (242) j(all_97_2_87) = all_97_1_86
% 27.55/9.25 | (243) j(all_9_0_5) = all_97_0_85
% 27.55/9.25 | (244) op2(all_11_0_6, all_9_0_5) = all_97_2_87
% 27.55/9.25 | (245) op1(all_59_0_41, all_97_0_85) = all_97_1_86
% 27.55/9.25 |
% 27.55/9.25 | Instantiating (178) with all_99_0_88, all_99_1_89, all_99_2_90 yields:
% 27.55/9.25 | (246) j(all_99_2_90) = all_99_1_89 & j(all_11_0_6) = all_99_0_88 & op2(all_11_0_6, all_11_0_6) = all_99_2_90 & op1(all_59_0_41, all_99_0_88) = all_99_1_89
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (246) yields:
% 27.55/9.25 | (247) j(all_99_2_90) = all_99_1_89
% 27.55/9.25 | (248) j(all_11_0_6) = all_99_0_88
% 27.55/9.25 | (249) op2(all_11_0_6, all_11_0_6) = all_99_2_90
% 27.55/9.25 | (250) op1(all_59_0_41, all_99_0_88) = all_99_1_89
% 27.55/9.25 |
% 27.55/9.25 | Instantiating (196) with all_101_0_91, all_101_1_92, all_101_2_93 yields:
% 27.55/9.25 | (251) h(all_101_2_93) = all_101_1_92 & h(all_0_4_4) = all_101_0_91 & op2(all_74_0_60, all_101_0_91) = all_101_1_92 & op1(all_0_2_2, all_0_4_4) = all_101_2_93
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (251) yields:
% 27.55/9.25 | (252) h(all_101_2_93) = all_101_1_92
% 27.55/9.25 | (253) h(all_0_4_4) = all_101_0_91
% 27.55/9.25 | (254) op2(all_74_0_60, all_101_0_91) = all_101_1_92
% 27.55/9.25 | (255) op1(all_0_2_2, all_0_4_4) = all_101_2_93
% 27.55/9.25 |
% 27.55/9.25 | Instantiating (194) with all_103_0_94, all_103_1_95, all_103_2_96 yields:
% 27.55/9.25 | (256) h(all_103_2_96) = all_103_1_95 & h(all_0_2_2) = all_103_0_94 & op2(all_74_0_60, all_103_0_94) = all_103_1_95 & op1(all_0_2_2, all_0_2_2) = all_103_2_96
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (256) yields:
% 27.55/9.25 | (257) h(all_103_2_96) = all_103_1_95
% 27.55/9.25 | (258) h(all_0_2_2) = all_103_0_94
% 27.55/9.25 | (259) op2(all_74_0_60, all_103_0_94) = all_103_1_95
% 27.55/9.25 | (260) op1(all_0_2_2, all_0_2_2) = all_103_2_96
% 27.55/9.25 |
% 27.55/9.25 | Instantiating (193) with all_105_0_97, all_105_1_98, all_105_2_99 yields:
% 27.55/9.25 | (261) h(all_105_2_99) = all_105_1_98 & h(all_0_1_1) = all_105_0_97 & op2(all_74_0_60, all_105_0_97) = all_105_1_98 & op1(all_0_2_2, all_0_1_1) = all_105_2_99
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (261) yields:
% 27.55/9.25 | (262) h(all_105_2_99) = all_105_1_98
% 27.55/9.25 | (263) h(all_0_1_1) = all_105_0_97
% 27.55/9.25 | (264) op2(all_74_0_60, all_105_0_97) = all_105_1_98
% 27.55/9.25 | (265) op1(all_0_2_2, all_0_1_1) = all_105_2_99
% 27.55/9.25 |
% 27.55/9.25 | Instantiating (195) with all_107_0_100, all_107_1_101, all_107_2_102 yields:
% 27.55/9.25 | (266) h(all_107_2_102) = all_107_1_101 & h(all_0_3_3) = all_107_0_100 & op2(all_74_0_60, all_107_0_100) = all_107_1_101 & op1(all_0_2_2, all_0_3_3) = all_107_2_102
% 27.55/9.25 |
% 27.55/9.25 | Applying alpha-rule on (266) yields:
% 27.55/9.25 | (267) h(all_107_2_102) = all_107_1_101
% 27.55/9.25 | (268) h(all_0_3_3) = all_107_0_100
% 27.55/9.25 | (269) op2(all_74_0_60, all_107_0_100) = all_107_1_101
% 27.55/9.25 | (270) op1(all_0_2_2, all_0_3_3) = all_107_2_102
% 27.55/9.25 |
% 27.55/9.25 | From (92) and (168) follows:
% 27.55/9.25 | (271) op2(all_9_0_5, all_54_0_37) = all_54_1_38
% 27.55/9.25 |
% 27.55/9.25 | From (92) and (163) follows:
% 27.55/9.25 | (272) op2(all_9_0_5, all_52_0_34) = all_52_1_35
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_11_0_6, all_95_0_82, all_0_4_4 and discharging atoms j(all_11_0_6) = all_95_0_82, j(all_11_0_6) = all_0_4_4, yields:
% 27.55/9.25 | (273) all_95_0_82 = all_0_4_4
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_11_0_6, all_95_0_82, all_99_0_88 and discharging atoms j(all_11_0_6) = all_99_0_88, j(all_11_0_6) = all_95_0_82, yields:
% 27.55/9.25 | (274) all_99_0_88 = all_95_0_82
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_11_0_6, all_59_0_41, all_99_0_88 and discharging atoms j(all_11_0_6) = all_99_0_88, j(all_11_0_6) = all_59_0_41, yields:
% 27.55/9.25 | (275) all_99_0_88 = all_59_0_41
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_9_0_5, all_97_0_85, all_0_3_3 and discharging atoms j(all_9_0_5) = all_97_0_85, j(all_9_0_5) = all_0_3_3, yields:
% 27.55/9.25 | (276) all_97_0_85 = all_0_3_3
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_9_0_5, all_93_0_79, all_97_0_85 and discharging atoms j(all_9_0_5) = all_97_0_85, j(all_9_0_5) = all_93_0_79, yields:
% 27.55/9.25 | (277) all_97_0_85 = all_93_0_79
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (11) with all_9_0_5, all_56_0_40, all_93_0_79 and discharging atoms j(all_9_0_5) = all_93_0_79, j(all_9_0_5) = all_56_0_40, yields:
% 27.55/9.25 | (278) all_93_0_79 = all_56_0_40
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (7) with all_0_1_1, all_91_0_76, all_105_0_97 and discharging atoms h(all_0_1_1) = all_105_0_97, h(all_0_1_1) = all_91_0_76, yields:
% 27.55/9.25 | (279) all_105_0_97 = all_91_0_76
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (7) with all_0_1_1, all_83_0_64, all_105_0_97 and discharging atoms h(all_0_1_1) = all_105_0_97, h(all_0_1_1) = all_83_0_64, yields:
% 27.55/9.25 | (280) all_105_0_97 = all_83_0_64
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (7) with all_0_1_1, all_77_0_61, all_83_0_64 and discharging atoms h(all_0_1_1) = all_83_0_64, h(all_0_1_1) = all_77_0_61, yields:
% 27.55/9.25 | (281) all_83_0_64 = all_77_0_61
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (7) with all_0_1_1, all_54_0_37, all_25_1_15 and discharging atoms h(all_0_1_1) = all_54_0_37, h(all_0_1_1) = all_25_1_15, yields:
% 27.55/9.25 | (282) all_54_0_37 = all_25_1_15
% 27.55/9.25 |
% 27.55/9.25 | Instantiating formula (7) with all_0_1_1, all_54_0_37, all_83_0_64 and discharging atoms h(all_0_1_1) = all_83_0_64, h(all_0_1_1) = all_54_0_37, yields:
% 27.55/9.26 | (283) all_83_0_64 = all_54_0_37
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_1_1, all_50_0_33, all_105_0_97 and discharging atoms h(all_0_1_1) = all_105_0_97, h(all_0_1_1) = all_50_0_33, yields:
% 27.55/9.26 | (284) all_105_0_97 = all_50_0_33
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_1_1, all_43_0_26, all_54_0_37 and discharging atoms h(all_0_1_1) = all_54_0_37, h(all_0_1_1) = all_43_0_26, yields:
% 27.55/9.26 | (285) all_54_0_37 = all_43_0_26
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_103_0_94, all_27_1_18 and discharging atoms h(all_0_2_2) = all_103_0_94, h(all_0_2_2) = all_27_1_18, yields:
% 27.55/9.26 | (286) all_103_0_94 = all_27_1_18
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_81_0_63, all_89_0_73 and discharging atoms h(all_0_2_2) = all_89_0_73, h(all_0_2_2) = all_81_0_63, yields:
% 27.55/9.26 | (287) all_89_0_73 = all_81_0_63
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_79_0_62, all_103_0_94 and discharging atoms h(all_0_2_2) = all_103_0_94, h(all_0_2_2) = all_79_0_62, yields:
% 27.55/9.26 | (288) all_103_0_94 = all_79_0_62
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_74_0_60, all_79_0_62 and discharging atoms h(all_0_2_2) = all_79_0_62, h(all_0_2_2) = all_74_0_60, yields:
% 27.55/9.26 | (289) all_79_0_62 = all_74_0_60
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_52_0_34, all_81_0_63 and discharging atoms h(all_0_2_2) = all_81_0_63, h(all_0_2_2) = all_52_0_34, yields:
% 27.55/9.26 | (290) all_81_0_63 = all_52_0_34
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_52_0_34, all_74_0_60 and discharging atoms h(all_0_2_2) = all_74_0_60, h(all_0_2_2) = all_52_0_34, yields:
% 27.55/9.26 | (291) all_74_0_60 = all_52_0_34
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_2_2, all_41_0_23, all_89_0_73 and discharging atoms h(all_0_2_2) = all_89_0_73, h(all_0_2_2) = all_41_0_23, yields:
% 27.55/9.26 | (292) all_89_0_73 = all_41_0_23
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_3_3, all_107_0_100, all_9_0_5 and discharging atoms h(all_0_3_3) = all_107_0_100, h(all_0_3_3) = all_9_0_5, yields:
% 27.55/9.26 | (293) all_107_0_100 = all_9_0_5
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_3_3, all_87_0_70, all_107_0_100 and discharging atoms h(all_0_3_3) = all_107_0_100, h(all_0_3_3) = all_87_0_70, yields:
% 27.55/9.26 | (294) all_107_0_100 = all_87_0_70
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_4_4, all_101_0_91, all_11_0_6 and discharging atoms h(all_0_4_4) = all_101_0_91, h(all_0_4_4) = all_11_0_6, yields:
% 27.55/9.26 | (295) all_101_0_91 = all_11_0_6
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (7) with all_0_4_4, all_85_0_67, all_101_0_91 and discharging atoms h(all_0_4_4) = all_101_0_91, h(all_0_4_4) = all_85_0_67, yields:
% 27.55/9.26 | (296) all_101_0_91 = all_85_0_67
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_11_0_6, all_9_0_5, all_97_2_87, all_25_1_15 and discharging atoms op2(all_11_0_6, all_9_0_5) = all_97_2_87, op2(all_11_0_6, all_9_0_5) = all_25_1_15, yields:
% 27.55/9.26 | (297) all_97_2_87 = all_25_1_15
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_11_0_6, all_9_0_5, all_72_2_59, all_97_2_87 and discharging atoms op2(all_11_0_6, all_9_0_5) = all_97_2_87, op2(all_11_0_6, all_9_0_5) = all_72_2_59, yields:
% 27.55/9.26 | (298) all_97_2_87 = all_72_2_59
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_11_0_6, all_9_0_5, all_46_2_29, all_72_2_59 and discharging atoms op2(all_11_0_6, all_9_0_5) = all_72_2_59, op2(all_11_0_6, all_9_0_5) = all_46_2_29, yields:
% 27.55/9.26 | (299) all_72_2_59 = all_46_2_29
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_9_0_5, all_11_0_6, all_95_2_84, all_27_1_18 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_95_2_84, op2(all_9_0_5, all_11_0_6) = all_27_1_18, yields:
% 27.55/9.26 | (300) all_95_2_84 = all_27_1_18
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_9_0_5, all_11_0_6, all_64_2_47, all_95_2_84 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_95_2_84, op2(all_9_0_5, all_11_0_6) = all_64_2_47, yields:
% 27.55/9.26 | (301) all_95_2_84 = all_64_2_47
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (9) with all_9_0_5, all_11_0_6, all_48_2_32, all_64_2_47 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_64_2_47, op2(all_9_0_5, all_11_0_6) = all_48_2_32, yields:
% 27.55/9.26 | (302) all_64_2_47 = all_48_2_32
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (5) with all_0_1_1, all_0_3_3, all_87_2_72, all_0_4_4 and discharging atoms op1(all_0_1_1, all_0_3_3) = all_87_2_72, op1(all_0_1_1, all_0_3_3) = all_0_4_4, yields:
% 27.55/9.26 | (303) all_87_2_72 = all_0_4_4
% 27.55/9.26 |
% 27.55/9.26 | Instantiating formula (5) with all_0_1_1, all_0_4_4, all_85_2_69, all_0_0_0 and discharging atoms op1(all_0_1_1, all_0_4_4) = all_85_2_69, op1(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 27.55/9.26 | (304) all_85_2_69 = all_0_0_0
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (293,294) yields a new equation:
% 27.55/9.26 | (305) all_87_0_70 = all_9_0_5
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (284,279) yields a new equation:
% 27.55/9.26 | (306) all_91_0_76 = all_50_0_33
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (280,279) yields a new equation:
% 27.55/9.26 | (307) all_91_0_76 = all_83_0_64
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (288,286) yields a new equation:
% 27.55/9.26 | (308) all_79_0_62 = all_27_1_18
% 27.55/9.26 |
% 27.55/9.26 | Simplifying 308 yields:
% 27.55/9.26 | (309) all_79_0_62 = all_27_1_18
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (295,296) yields a new equation:
% 27.55/9.26 | (310) all_85_0_67 = all_11_0_6
% 27.55/9.26 |
% 27.55/9.26 | Combining equations (274,275) yields a new equation:
% 27.55/9.26 | (311) all_95_0_82 = all_59_0_41
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 311 yields:
% 27.55/9.27 | (312) all_95_0_82 = all_59_0_41
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (277,276) yields a new equation:
% 27.55/9.27 | (313) all_93_0_79 = all_0_3_3
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 313 yields:
% 27.55/9.27 | (314) all_93_0_79 = all_0_3_3
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (298,297) yields a new equation:
% 27.55/9.27 | (315) all_72_2_59 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 315 yields:
% 27.55/9.27 | (316) all_72_2_59 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (273,312) yields a new equation:
% 27.55/9.27 | (317) all_59_0_41 = all_0_4_4
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (301,300) yields a new equation:
% 27.55/9.27 | (318) all_64_2_47 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 318 yields:
% 27.55/9.27 | (319) all_64_2_47 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (314,278) yields a new equation:
% 27.55/9.27 | (320) all_56_0_40 = all_0_3_3
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (307,306) yields a new equation:
% 27.55/9.27 | (321) all_83_0_64 = all_50_0_33
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 321 yields:
% 27.55/9.27 | (322) all_83_0_64 = all_50_0_33
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (287,292) yields a new equation:
% 27.55/9.27 | (323) all_81_0_63 = all_41_0_23
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 323 yields:
% 27.55/9.27 | (324) all_81_0_63 = all_41_0_23
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (283,281) yields a new equation:
% 27.55/9.27 | (325) all_77_0_61 = all_54_0_37
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (322,281) yields a new equation:
% 27.55/9.27 | (326) all_77_0_61 = all_50_0_33
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (290,324) yields a new equation:
% 27.55/9.27 | (327) all_52_0_34 = all_41_0_23
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 327 yields:
% 27.55/9.27 | (328) all_52_0_34 = all_41_0_23
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (289,309) yields a new equation:
% 27.55/9.27 | (329) all_74_0_60 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 329 yields:
% 27.55/9.27 | (330) all_74_0_60 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (325,326) yields a new equation:
% 27.55/9.27 | (331) all_54_0_37 = all_50_0_33
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 331 yields:
% 27.55/9.27 | (332) all_54_0_37 = all_50_0_33
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (291,330) yields a new equation:
% 27.55/9.27 | (333) all_52_0_34 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 333 yields:
% 27.55/9.27 | (334) all_52_0_34 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (299,316) yields a new equation:
% 27.55/9.27 | (335) all_46_2_29 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 335 yields:
% 27.55/9.27 | (336) all_46_2_29 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (302,319) yields a new equation:
% 27.55/9.27 | (337) all_48_2_32 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 337 yields:
% 27.55/9.27 | (338) all_48_2_32 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (282,332) yields a new equation:
% 27.55/9.27 | (339) all_50_0_33 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (285,332) yields a new equation:
% 27.55/9.27 | (340) all_50_0_33 = all_43_0_26
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (328,334) yields a new equation:
% 27.55/9.27 | (341) all_41_0_23 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 341 yields:
% 27.55/9.27 | (342) all_41_0_23 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (340,339) yields a new equation:
% 27.55/9.27 | (343) all_43_0_26 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Simplifying 343 yields:
% 27.55/9.27 | (344) all_43_0_26 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (339,332) yields a new equation:
% 27.55/9.27 | (282) all_54_0_37 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (339,326) yields a new equation:
% 27.55/9.27 | (346) all_77_0_61 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (346,281) yields a new equation:
% 27.55/9.27 | (347) all_83_0_64 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (342,292) yields a new equation:
% 27.55/9.27 | (348) all_89_0_73 = all_27_1_18
% 27.55/9.27 |
% 27.55/9.27 | Combining equations (339,306) yields a new equation:
% 27.55/9.27 | (349) all_91_0_76 = all_25_1_15
% 27.55/9.27 |
% 27.55/9.28 | Combining equations (317,312) yields a new equation:
% 27.55/9.28 | (273) all_95_0_82 = all_0_4_4
% 27.55/9.28 |
% 27.55/9.28 | Combining equations (310,296) yields a new equation:
% 27.55/9.28 | (295) all_101_0_91 = all_11_0_6
% 27.55/9.28 |
% 27.55/9.28 | Combining equations (349,279) yields a new equation:
% 27.55/9.28 | (352) all_105_0_97 = all_25_1_15
% 27.55/9.28 |
% 27.55/9.28 | Combining equations (305,294) yields a new equation:
% 27.55/9.28 | (293) all_107_0_100 = all_9_0_5
% 27.55/9.28 |
% 27.55/9.28 | From (297) and (242) follows:
% 27.55/9.28 | (354) j(all_25_1_15) = all_97_1_86
% 27.55/9.28 |
% 27.55/9.28 | From (300) and (237) follows:
% 27.55/9.28 | (355) j(all_27_1_18) = all_95_1_83
% 27.55/9.28 |
% 27.55/9.28 | From (317) and (176) follows:
% 27.55/9.28 | (101) j(all_11_0_6) = all_0_4_4
% 27.55/9.28 |
% 27.55/9.28 | From (320) and (171) follows:
% 27.55/9.28 | (102) j(all_9_0_5) = all_0_3_3
% 27.55/9.28 |
% 27.55/9.28 | From (303) and (217) follows:
% 27.55/9.28 | (358) h(all_0_4_4) = all_87_1_71
% 27.55/9.28 |
% 27.55/9.28 | From (304) and (212) follows:
% 27.55/9.28 | (359) h(all_0_0_0) = all_85_1_68
% 27.55/9.28 |
% 27.55/9.28 | From (310) and (213) follows:
% 27.55/9.28 | (38) h(all_0_4_4) = all_11_0_6
% 27.55/9.28 |
% 27.55/9.28 | From (330)(293) and (269) follows:
% 27.55/9.28 | (361) op2(all_27_1_18, all_9_0_5) = all_107_1_101
% 27.55/9.28 |
% 27.55/9.28 | From (330)(352) and (264) follows:
% 27.55/9.28 | (362) op2(all_27_1_18, all_25_1_15) = all_105_1_98
% 27.55/9.28 |
% 27.55/9.28 | From (330)(286) and (259) follows:
% 27.55/9.28 | (363) op2(all_27_1_18, all_27_1_18) = all_103_1_95
% 27.55/9.28 |
% 27.55/9.28 | From (330)(295) and (254) follows:
% 27.55/9.28 | (364) op2(all_27_1_18, all_11_0_6) = all_101_1_92
% 27.55/9.28 |
% 27.55/9.28 | From (319) and (181) follows:
% 27.55/9.28 | (365) op2(all_27_1_18, all_11_0_6) = all_64_1_46
% 27.55/9.28 |
% 27.55/9.28 | From (319) and (182) follows:
% 27.55/9.28 | (366) op2(all_27_1_18, all_9_0_5) = all_64_0_45
% 27.55/9.28 |
% 27.55/9.28 | From (336) and (148) follows:
% 27.55/9.28 | (367) op2(all_25_1_15, all_11_0_6) = all_46_0_27
% 27.55/9.28 |
% 27.55/9.28 | From (336) and (149) follows:
% 27.55/9.28 | (368) op2(all_25_1_15, all_9_0_5) = all_46_1_28
% 27.55/9.28 |
% 27.55/9.28 | From (344)(349) and (229) follows:
% 27.55/9.28 | (369) op2(all_25_1_15, all_25_1_15) = all_91_1_77
% 27.55/9.28 |
% 27.55/9.28 | From (344)(348) and (224) follows:
% 27.55/9.28 | (370) op2(all_25_1_15, all_27_1_18) = all_89_1_74
% 27.55/9.28 |
% 27.55/9.28 | From (344)(305) and (219) follows:
% 27.55/9.28 | (371) op2(all_25_1_15, all_9_0_5) = all_87_1_71
% 27.55/9.28 |
% 27.55/9.28 | From (344)(310) and (214) follows:
% 27.55/9.28 | (372) op2(all_25_1_15, all_11_0_6) = all_85_1_68
% 27.55/9.28 |
% 27.55/9.28 | From (347) and (209) follows:
% 27.55/9.28 | (373) op2(all_11_0_6, all_25_1_15) = all_83_1_65
% 27.55/9.28 |
% 27.55/9.28 | From (342) and (138) follows:
% 27.55/9.28 | (374) op2(all_11_0_6, all_27_1_18) = all_41_1_24
% 27.55/9.28 |
% 27.55/9.28 | From (336) and (150) follows:
% 27.55/9.28 | (109) op2(all_11_0_6, all_9_0_5) = all_25_1_15
% 27.55/9.28 |
% 27.55/9.28 | From (282) and (271) follows:
% 27.55/9.28 | (376) op2(all_9_0_5, all_25_1_15) = all_54_1_38
% 27.55/9.28 |
% 27.55/9.28 | From (334) and (272) follows:
% 27.55/9.28 | (377) op2(all_9_0_5, all_27_1_18) = all_52_1_35
% 27.55/9.28 |
% 27.55/9.28 | From (338) and (155) follows:
% 27.55/9.28 | (108) op2(all_9_0_5, all_11_0_6) = all_27_1_18
% 27.55/9.28 |
% 27.55/9.28 | From (317)(276) and (245) follows:
% 27.55/9.28 | (379) op1(all_0_4_4, all_0_3_3) = all_97_1_86
% 27.55/9.28 |
% 27.55/9.28 | From (320)(273) and (240) follows:
% 27.55/9.28 | (380) op1(all_0_3_3, all_0_4_4) = all_95_1_83
% 27.55/9.28 |
% 27.55/9.28 | From (304) and (215) follows:
% 27.55/9.29 | (14) op1(all_0_1_1, all_0_4_4) = all_0_0_0
% 27.55/9.29 |
% 27.55/9.29 | From (309) and (202) follows:
% 27.55/9.29 | (382) sorti2(all_27_1_18)
% 27.55/9.29 |
% 27.55/9.29 | From (339) and (159) follows:
% 27.55/9.29 | (383) sorti2(all_25_1_15)
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (7) with all_0_4_4, all_87_1_71, all_11_0_6 and discharging atoms h(all_0_4_4) = all_87_1_71, h(all_0_4_4) = all_11_0_6, yields:
% 27.55/9.29 | (384) all_87_1_71 = all_11_0_6
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_27_1_18, all_11_0_6, all_101_1_92, all_72_1_58 and discharging atoms op2(all_27_1_18, all_11_0_6) = all_101_1_92, op2(all_27_1_18, all_11_0_6) = all_72_1_58, yields:
% 27.55/9.29 | (385) all_101_1_92 = all_72_1_58
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_27_1_18, all_11_0_6, all_64_1_46, all_101_1_92 and discharging atoms op2(all_27_1_18, all_11_0_6) = all_101_1_92, op2(all_27_1_18, all_11_0_6) = all_64_1_46, yields:
% 27.55/9.29 | (386) all_101_1_92 = all_64_1_46
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_27_1_18, all_9_0_5, all_107_1_101, all_72_0_57 and discharging atoms op2(all_27_1_18, all_9_0_5) = all_107_1_101, op2(all_27_1_18, all_9_0_5) = all_72_0_57, yields:
% 27.55/9.29 | (387) all_107_1_101 = all_72_0_57
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_27_1_18, all_9_0_5, all_64_0_45, all_107_1_101 and discharging atoms op2(all_27_1_18, all_9_0_5) = all_107_1_101, op2(all_27_1_18, all_9_0_5) = all_64_0_45, yields:
% 27.55/9.29 | (388) all_107_1_101 = all_64_0_45
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_85_1_68, all_48_0_30 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_85_1_68, op2(all_25_1_15, all_11_0_6) = all_48_0_30, yields:
% 27.55/9.29 | (389) all_85_1_68 = all_48_0_30
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_46_0_27, all_85_1_68 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_85_1_68, op2(all_25_1_15, all_11_0_6) = all_46_0_27, yields:
% 27.55/9.29 | (390) all_85_1_68 = all_46_0_27
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (9) with all_25_1_15, all_9_0_5, all_46_1_28, all_87_1_71 and discharging atoms op2(all_25_1_15, all_9_0_5) = all_87_1_71, op2(all_25_1_15, all_9_0_5) = all_46_1_28, yields:
% 27.55/9.29 | (391) all_87_1_71 = all_46_1_28
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (5) with all_0_3_3, all_0_4_4, all_95_1_83, all_0_2_2 and discharging atoms op1(all_0_3_3, all_0_4_4) = all_95_1_83, op1(all_0_3_3, all_0_4_4) = all_0_2_2, yields:
% 27.55/9.29 | (392) all_95_1_83 = all_0_2_2
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (5) with all_0_4_4, all_0_3_3, all_97_1_86, all_0_1_1 and discharging atoms op1(all_0_4_4, all_0_3_3) = all_97_1_86, op1(all_0_4_4, all_0_3_3) = all_0_1_1, yields:
% 27.55/9.29 | (393) all_97_1_86 = all_0_1_1
% 27.55/9.29 |
% 27.55/9.29 | Combining equations (388,387) yields a new equation:
% 27.55/9.29 | (394) all_72_0_57 = all_64_0_45
% 27.55/9.29 |
% 27.55/9.29 | Combining equations (385,386) yields a new equation:
% 27.55/9.29 | (395) all_72_1_58 = all_64_1_46
% 27.55/9.29 |
% 27.55/9.29 | Simplifying 395 yields:
% 27.55/9.29 | (396) all_72_1_58 = all_64_1_46
% 27.55/9.29 |
% 27.55/9.29 | Combining equations (384,391) yields a new equation:
% 27.55/9.29 | (397) all_46_1_28 = all_11_0_6
% 27.55/9.29 |
% 27.55/9.29 | Combining equations (390,389) yields a new equation:
% 27.55/9.29 | (398) all_48_0_30 = all_46_0_27
% 27.55/9.29 |
% 27.55/9.29 | Combining equations (398,389) yields a new equation:
% 27.55/9.29 | (390) all_85_1_68 = all_46_0_27
% 27.55/9.29 |
% 27.55/9.29 | From (392) and (355) follows:
% 27.55/9.29 | (400) j(all_27_1_18) = all_0_2_2
% 27.55/9.29 |
% 27.55/9.29 | From (393) and (354) follows:
% 27.55/9.29 | (401) j(all_25_1_15) = all_0_1_1
% 27.55/9.29 |
% 27.55/9.29 | From (390) and (359) follows:
% 27.55/9.29 | (402) h(all_0_0_0) = all_46_0_27
% 27.55/9.29 |
% 27.55/9.29 | From (396) and (186) follows:
% 27.55/9.29 | (365) op2(all_27_1_18, all_11_0_6) = all_64_1_46
% 27.55/9.29 |
% 27.55/9.29 | From (394) and (187) follows:
% 27.55/9.29 | (366) op2(all_27_1_18, all_9_0_5) = all_64_0_45
% 27.55/9.29 |
% 27.55/9.29 | From (398) and (153) follows:
% 27.55/9.29 | (367) op2(all_25_1_15, all_11_0_6) = all_46_0_27
% 27.55/9.29 |
% 27.55/9.29 | From (397) and (368) follows:
% 27.55/9.29 | (406) op2(all_25_1_15, all_9_0_5) = all_11_0_6
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (8) with all_46_0_27, all_25_1_15, all_9_0_5, all_11_0_6 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_46_0_27, op2(all_11_0_6, all_9_0_5) = all_25_1_15, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.29 | (407) all_46_0_27 = all_9_0_5 | ? [v0] : ? [v1] : (op2(all_25_1_15, all_9_0_5) = v1 & op2(all_9_0_5, all_11_0_6) = v0 & ( ~ (v1 = all_11_0_6) | v0 = all_25_1_15))
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (22) with all_25_1_15, all_9_0_5, all_11_0_6 and discharging atoms op2(all_25_1_15, all_9_0_5) = all_11_0_6, op2(all_11_0_6, all_9_0_5) = all_25_1_15, sorti2(all_11_0_6), sorti2(all_9_0_5), yields:
% 27.55/9.29 | (408) ? [v0] : ? [v1] : (op2(all_25_1_15, all_11_0_6) = v1 & op2(all_9_0_5, all_11_0_6) = v0 & (v1 = all_9_0_5 | v0 = all_25_1_15))
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (13) with all_29_1_21 and discharging atoms sorti2(all_29_1_21), yields:
% 27.55/9.29 | (409) ? [v0] : (j(all_29_1_21) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_29_1_21, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (20) with all_103_1_95, all_27_1_18, all_27_1_18 and discharging atoms op2(all_27_1_18, all_27_1_18) = all_103_1_95, sorti2(all_27_1_18), yields:
% 27.55/9.29 | (410) sorti2(all_103_1_95)
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (20) with all_64_1_46, all_11_0_6, all_27_1_18 and discharging atoms op2(all_27_1_18, all_11_0_6) = all_64_1_46, sorti2(all_27_1_18), sorti2(all_11_0_6), yields:
% 27.55/9.29 | (411) sorti2(all_64_1_46)
% 27.55/9.29 |
% 27.55/9.29 | Instantiating formula (20) with all_64_0_45, all_9_0_5, all_27_1_18 and discharging atoms op2(all_27_1_18, all_9_0_5) = all_64_0_45, sorti2(all_27_1_18), sorti2(all_9_0_5), yields:
% 27.55/9.30 | (412) sorti2(all_64_0_45)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_41_1_24, all_27_1_18, all_11_0_6 and discharging atoms op2(all_11_0_6, all_27_1_18) = all_41_1_24, sorti2(all_27_1_18), sorti2(all_11_0_6), yields:
% 27.55/9.30 | (413) sorti2(all_41_1_24)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_52_1_35, all_27_1_18, all_9_0_5 and discharging atoms op2(all_9_0_5, all_27_1_18) = all_52_1_35, sorti2(all_27_1_18), sorti2(all_9_0_5), yields:
% 27.55/9.30 | (414) sorti2(all_52_1_35)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (177) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 27.55/9.30 | (415) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_11_0_6, all_27_1_18) = v0 & op1(all_59_0_41, v2) = v1)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (172) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 27.55/9.30 | (416) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_9_0_5, all_27_1_18) = v0 & op1(all_56_0_40, v2) = v1)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (13) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 27.55/9.30 | (417) ? [v0] : (j(all_27_1_18) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_27_1_18, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_105_1_98, all_25_1_15, all_27_1_18 and discharging atoms op2(all_27_1_18, all_25_1_15) = all_105_1_98, sorti2(all_27_1_18), sorti2(all_25_1_15), yields:
% 27.55/9.30 | (418) sorti2(all_105_1_98)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_89_1_74, all_27_1_18, all_25_1_15 and discharging atoms op2(all_25_1_15, all_27_1_18) = all_89_1_74, sorti2(all_27_1_18), sorti2(all_25_1_15), yields:
% 27.55/9.30 | (419) sorti2(all_89_1_74)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_91_1_77, all_25_1_15, all_25_1_15 and discharging atoms op2(all_25_1_15, all_25_1_15) = all_91_1_77, sorti2(all_25_1_15), yields:
% 27.55/9.30 | (420) sorti2(all_91_1_77)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (12) with all_83_1_65, all_11_0_6, all_25_1_15 and discharging atoms op2(all_11_0_6, all_25_1_15) = all_83_1_65, sorti2(all_25_1_15), sorti2(all_11_0_6), yields:
% 27.55/9.30 | (421) ? [v0] : ? [v1] : ? [v2] : (op2(v0, all_25_1_15) = v2 & op2(v0, all_11_0_6) = v1 & op2(all_25_1_15, all_11_0_6) = v0 & ( ~ (v1 = all_25_1_15) | v2 = all_11_0_6 | v0 = all_83_1_65))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_83_1_65, all_25_1_15, all_11_0_6 and discharging atoms op2(all_11_0_6, all_25_1_15) = all_83_1_65, sorti2(all_25_1_15), sorti2(all_11_0_6), yields:
% 27.55/9.30 | (422) sorti2(all_83_1_65)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (3) with all_83_1_65, all_25_1_15, all_11_0_6 and discharging atoms op2(all_11_0_6, all_25_1_15) = all_83_1_65, sorti2(all_25_1_15), sorti2(all_11_0_6), yields:
% 27.55/9.30 | (423) ? [v0] : ? [v1] : ? [v2] : (op2(all_83_1_65, all_25_1_15) = v1 & op2(all_83_1_65, all_11_0_6) = v2 & op2(all_25_1_15, all_11_0_6) = v0 & ( ~ (v1 = all_11_0_6) | v2 = all_25_1_15 | v0 = all_83_1_65))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (20) with all_54_1_38, all_25_1_15, all_9_0_5 and discharging atoms op2(all_9_0_5, all_25_1_15) = all_54_1_38, sorti2(all_25_1_15), sorti2(all_9_0_5), yields:
% 27.55/9.30 | (424) sorti2(all_54_1_38)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (177) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 27.55/9.30 | (425) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_11_0_6, all_25_1_15) = v0 & op1(all_59_0_41, v2) = v1)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (172) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 27.55/9.30 | (426) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_9_0_5, all_25_1_15) = v0 & op1(all_56_0_40, v2) = v1)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (13) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 27.55/9.30 | (427) ? [v0] : (j(all_25_1_15) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_25_1_15, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (13) with all_23_1_12 and discharging atoms sorti2(all_23_1_12), yields:
% 27.55/9.30 | (428) ? [v0] : (j(all_23_1_12) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_23_1_12, v1) = v2 & op1(v0, v4) = v3)))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (15) with all_29_2_22 and discharging atoms sorti1(all_29_2_22), yields:
% 27.55/9.30 | (429) ? [v0] : (h(all_29_2_22) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_29_2_22, v1) = v2)))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (15) with all_23_2_13 and discharging atoms sorti1(all_23_2_13), yields:
% 27.55/9.30 | (430) ? [v0] : (h(all_23_2_13) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_23_2_13, v1) = v2)))
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (192) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 27.55/9.30 | (431) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_74_0_60, v2) = v1 & op1(all_0_2_2, all_0_0_0) = v0)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (142) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 27.55/9.30 | (432) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_43_0_26, v2) = v1 & op1(all_0_1_1, all_0_0_0) = v0)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (53) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 27.55/9.30 | (433) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_20_0_10, v2) = v1 & op1(all_0_3_3, all_0_0_0) = v0)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (39) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 27.55/9.30 | (434) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_11_0_6, v2) = v1 & op1(all_0_4_4, all_0_0_0) = v0)
% 27.55/9.30 |
% 27.55/9.30 | Instantiating formula (16) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.30 | (435) ? [v0] : (j(v0) = all_0_0_0 & h(all_0_0_0) = v0)
% 28.01/9.30 |
% 28.01/9.30 | Instantiating formula (17) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.30 | (436) ? [v0] : (h(all_0_0_0) = v0 & sorti2(v0))
% 28.01/9.30 |
% 28.01/9.30 | Instantiating formula (15) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.30 | (437) ? [v0] : (h(all_0_0_0) = v0 & ! [v1] : ( ~ sorti1(v1) | ? [v2] : ? [v3] : ? [v4] : (h(v2) = v3 & h(v1) = v4 & op2(v0, v4) = v3 & op1(all_0_0_0, v1) = v2)))
% 28.01/9.30 |
% 28.01/9.30 | Instantiating (417) with all_125_0_106 yields:
% 28.01/9.30 | (438) j(all_27_1_18) = all_125_0_106 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_27_1_18, v0) = v1 & op1(all_125_0_106, v3) = v2))
% 28.01/9.30 |
% 28.01/9.30 | Applying alpha-rule on (438) yields:
% 28.01/9.30 | (439) j(all_27_1_18) = all_125_0_106
% 28.01/9.30 | (440) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_27_1_18, v0) = v1 & op1(all_125_0_106, v3) = v2))
% 28.01/9.30 |
% 28.01/9.30 | Instantiating formula (440) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.31 | (441) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_27_1_18, all_27_1_18) = v0 & op1(all_125_0_106, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (440) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.31 | (442) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_27_1_18, all_25_1_15) = v0 & op1(all_125_0_106, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (440) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.31 | (443) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_27_1_18, all_9_0_5) = v0 & op1(all_125_0_106, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (423) with all_132_0_113, all_132_1_114, all_132_2_115 yields:
% 28.01/9.31 | (444) op2(all_83_1_65, all_25_1_15) = all_132_1_114 & op2(all_83_1_65, all_11_0_6) = all_132_0_113 & op2(all_25_1_15, all_11_0_6) = all_132_2_115 & ( ~ (all_132_1_114 = all_11_0_6) | all_132_0_113 = all_25_1_15 | all_132_2_115 = all_83_1_65)
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (444) yields:
% 28.01/9.31 | (445) op2(all_83_1_65, all_25_1_15) = all_132_1_114
% 28.01/9.31 | (446) op2(all_83_1_65, all_11_0_6) = all_132_0_113
% 28.01/9.31 | (447) op2(all_25_1_15, all_11_0_6) = all_132_2_115
% 28.01/9.31 | (448) ~ (all_132_1_114 = all_11_0_6) | all_132_0_113 = all_25_1_15 | all_132_2_115 = all_83_1_65
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (416) with all_134_0_116, all_134_1_117, all_134_2_118 yields:
% 28.01/9.31 | (449) j(all_134_2_118) = all_134_1_117 & j(all_27_1_18) = all_134_0_116 & op2(all_9_0_5, all_27_1_18) = all_134_2_118 & op1(all_56_0_40, all_134_0_116) = all_134_1_117
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (449) yields:
% 28.01/9.31 | (450) j(all_134_2_118) = all_134_1_117
% 28.01/9.31 | (451) j(all_27_1_18) = all_134_0_116
% 28.01/9.31 | (452) op2(all_9_0_5, all_27_1_18) = all_134_2_118
% 28.01/9.31 | (453) op1(all_56_0_40, all_134_0_116) = all_134_1_117
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (408) with all_136_0_119, all_136_1_120 yields:
% 28.01/9.31 | (454) op2(all_25_1_15, all_11_0_6) = all_136_0_119 & op2(all_9_0_5, all_11_0_6) = all_136_1_120 & (all_136_0_119 = all_9_0_5 | all_136_1_120 = all_25_1_15)
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (454) yields:
% 28.01/9.31 | (455) op2(all_25_1_15, all_11_0_6) = all_136_0_119
% 28.01/9.31 | (456) op2(all_9_0_5, all_11_0_6) = all_136_1_120
% 28.01/9.31 | (457) all_136_0_119 = all_9_0_5 | all_136_1_120 = all_25_1_15
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (409) with all_138_0_121 yields:
% 28.01/9.31 | (458) j(all_29_1_21) = all_138_0_121 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_29_1_21, v0) = v1 & op1(all_138_0_121, v3) = v2))
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (458) yields:
% 28.01/9.31 | (459) j(all_29_1_21) = all_138_0_121
% 28.01/9.31 | (460) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_29_1_21, v0) = v1 & op1(all_138_0_121, v3) = v2))
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (460) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.31 | (461) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_29_1_21, all_27_1_18) = v0 & op1(all_138_0_121, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (460) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.31 | (462) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_29_1_21, all_25_1_15) = v0 & op1(all_138_0_121, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (460) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 28.01/9.31 | (463) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_11_0_6) = v2 & op2(all_29_1_21, all_11_0_6) = v0 & op1(all_138_0_121, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (460) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.31 | (464) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_29_1_21, all_9_0_5) = v0 & op1(all_138_0_121, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (426) with all_159_0_148, all_159_1_149, all_159_2_150 yields:
% 28.01/9.31 | (465) j(all_159_2_150) = all_159_1_149 & j(all_25_1_15) = all_159_0_148 & op2(all_9_0_5, all_25_1_15) = all_159_2_150 & op1(all_56_0_40, all_159_0_148) = all_159_1_149
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (465) yields:
% 28.01/9.31 | (466) j(all_159_2_150) = all_159_1_149
% 28.01/9.31 | (467) j(all_25_1_15) = all_159_0_148
% 28.01/9.31 | (468) op2(all_9_0_5, all_25_1_15) = all_159_2_150
% 28.01/9.31 | (469) op1(all_56_0_40, all_159_0_148) = all_159_1_149
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (425) with all_161_0_151, all_161_1_152, all_161_2_153 yields:
% 28.01/9.31 | (470) j(all_161_2_153) = all_161_1_152 & j(all_25_1_15) = all_161_0_151 & op2(all_11_0_6, all_25_1_15) = all_161_2_153 & op1(all_59_0_41, all_161_0_151) = all_161_1_152
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (470) yields:
% 28.01/9.31 | (471) j(all_161_2_153) = all_161_1_152
% 28.01/9.31 | (472) j(all_25_1_15) = all_161_0_151
% 28.01/9.31 | (473) op2(all_11_0_6, all_25_1_15) = all_161_2_153
% 28.01/9.31 | (474) op1(all_59_0_41, all_161_0_151) = all_161_1_152
% 28.01/9.31 |
% 28.01/9.31 | Instantiating (427) with all_163_0_154 yields:
% 28.01/9.31 | (475) j(all_25_1_15) = all_163_0_154 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_25_1_15, v0) = v1 & op1(all_163_0_154, v3) = v2))
% 28.01/9.31 |
% 28.01/9.31 | Applying alpha-rule on (475) yields:
% 28.01/9.31 | (476) j(all_25_1_15) = all_163_0_154
% 28.01/9.31 | (477) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_25_1_15, v0) = v1 & op1(all_163_0_154, v3) = v2))
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (477) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.31 | (478) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_25_1_15, all_27_1_18) = v0 & op1(all_163_0_154, v2) = v1)
% 28.01/9.31 |
% 28.01/9.31 | Instantiating formula (477) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.31 | (479) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_25_1_15, all_25_1_15) = v0 & op1(all_163_0_154, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (477) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 28.01/9.32 | (480) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_11_0_6) = v2 & op2(all_25_1_15, all_11_0_6) = v0 & op1(all_163_0_154, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (477) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.32 | (481) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_25_1_15, all_9_0_5) = v0 & op1(all_163_0_154, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (437) with all_168_0_158 yields:
% 28.01/9.32 | (482) h(all_0_0_0) = all_168_0_158 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_168_0_158, v3) = v2 & op1(all_0_0_0, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (482) yields:
% 28.01/9.32 | (483) h(all_0_0_0) = all_168_0_158
% 28.01/9.32 | (484) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_168_0_158, v3) = v2 & op1(all_0_0_0, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (484) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.32 | (485) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_168_0_158, v2) = v1 & op1(all_0_0_0, all_0_0_0) = v0)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (436) with all_171_0_159 yields:
% 28.01/9.32 | (486) h(all_0_0_0) = all_171_0_159 & sorti2(all_171_0_159)
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (486) yields:
% 28.01/9.32 | (487) h(all_0_0_0) = all_171_0_159
% 28.01/9.32 | (488) sorti2(all_171_0_159)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (435) with all_173_0_160 yields:
% 28.01/9.32 | (489) j(all_173_0_160) = all_0_0_0 & h(all_0_0_0) = all_173_0_160
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (489) yields:
% 28.01/9.32 | (490) j(all_173_0_160) = all_0_0_0
% 28.01/9.32 | (491) h(all_0_0_0) = all_173_0_160
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (434) with all_195_0_191, all_195_1_192, all_195_2_193 yields:
% 28.01/9.32 | (492) h(all_195_2_193) = all_195_1_192 & h(all_0_0_0) = all_195_0_191 & op2(all_11_0_6, all_195_0_191) = all_195_1_192 & op1(all_0_4_4, all_0_0_0) = all_195_2_193
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (492) yields:
% 28.01/9.32 | (493) h(all_195_2_193) = all_195_1_192
% 28.01/9.32 | (494) h(all_0_0_0) = all_195_0_191
% 28.01/9.32 | (495) op2(all_11_0_6, all_195_0_191) = all_195_1_192
% 28.01/9.32 | (496) op1(all_0_4_4, all_0_0_0) = all_195_2_193
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (432) with all_197_0_194, all_197_1_195, all_197_2_196 yields:
% 28.01/9.32 | (497) h(all_197_2_196) = all_197_1_195 & h(all_0_0_0) = all_197_0_194 & op2(all_43_0_26, all_197_0_194) = all_197_1_195 & op1(all_0_1_1, all_0_0_0) = all_197_2_196
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (497) yields:
% 28.01/9.32 | (498) h(all_197_2_196) = all_197_1_195
% 28.01/9.32 | (499) h(all_0_0_0) = all_197_0_194
% 28.01/9.32 | (500) op2(all_43_0_26, all_197_0_194) = all_197_1_195
% 28.01/9.32 | (501) op1(all_0_1_1, all_0_0_0) = all_197_2_196
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (429) with all_201_0_200 yields:
% 28.01/9.32 | (502) h(all_29_2_22) = all_201_0_200 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_201_0_200, v3) = v2 & op1(all_29_2_22, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (502) yields:
% 28.01/9.32 | (503) h(all_29_2_22) = all_201_0_200
% 28.01/9.32 | (504) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_201_0_200, v3) = v2 & op1(all_29_2_22, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (504) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.32 | (505) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_201_0_200, v2) = v1 & op1(all_29_2_22, all_0_0_0) = v0)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (433) with all_204_0_201, all_204_1_202, all_204_2_203 yields:
% 28.01/9.32 | (506) h(all_204_2_203) = all_204_1_202 & h(all_0_0_0) = all_204_0_201 & op2(all_20_0_10, all_204_0_201) = all_204_1_202 & op1(all_0_3_3, all_0_0_0) = all_204_2_203
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (506) yields:
% 28.01/9.32 | (507) h(all_204_2_203) = all_204_1_202
% 28.01/9.32 | (508) h(all_0_0_0) = all_204_0_201
% 28.01/9.32 | (509) op2(all_20_0_10, all_204_0_201) = all_204_1_202
% 28.01/9.32 | (510) op1(all_0_3_3, all_0_0_0) = all_204_2_203
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (430) with all_206_0_204 yields:
% 28.01/9.32 | (511) h(all_23_2_13) = all_206_0_204 & ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_206_0_204, v3) = v2 & op1(all_23_2_13, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (511) yields:
% 28.01/9.32 | (512) h(all_23_2_13) = all_206_0_204
% 28.01/9.32 | (513) ! [v0] : ( ~ sorti1(v0) | ? [v1] : ? [v2] : ? [v3] : (h(v1) = v2 & h(v0) = v3 & op2(all_206_0_204, v3) = v2 & op1(all_23_2_13, v0) = v1))
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (513) with all_0_0_0 and discharging atoms sorti1(all_0_0_0), yields:
% 28.01/9.32 | (514) ? [v0] : ? [v1] : ? [v2] : (h(v0) = v1 & h(all_0_0_0) = v2 & op2(all_206_0_204, v2) = v1 & op1(all_23_2_13, all_0_0_0) = v0)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (421) with all_211_0_208, all_211_1_209, all_211_2_210 yields:
% 28.01/9.32 | (515) op2(all_211_2_210, all_25_1_15) = all_211_0_208 & op2(all_211_2_210, all_11_0_6) = all_211_1_209 & op2(all_25_1_15, all_11_0_6) = all_211_2_210 & ( ~ (all_211_1_209 = all_25_1_15) | all_211_0_208 = all_11_0_6 | all_211_2_210 = all_83_1_65)
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (515) yields:
% 28.01/9.32 | (516) op2(all_211_2_210, all_25_1_15) = all_211_0_208
% 28.01/9.32 | (517) op2(all_211_2_210, all_11_0_6) = all_211_1_209
% 28.01/9.32 | (518) op2(all_25_1_15, all_11_0_6) = all_211_2_210
% 28.01/9.32 | (519) ~ (all_211_1_209 = all_25_1_15) | all_211_0_208 = all_11_0_6 | all_211_2_210 = all_83_1_65
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (415) with all_213_0_211, all_213_1_212, all_213_2_213 yields:
% 28.01/9.32 | (520) j(all_213_2_213) = all_213_1_212 & j(all_27_1_18) = all_213_0_211 & op2(all_11_0_6, all_27_1_18) = all_213_2_213 & op1(all_59_0_41, all_213_0_211) = all_213_1_212
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (520) yields:
% 28.01/9.32 | (521) j(all_213_2_213) = all_213_1_212
% 28.01/9.32 | (522) j(all_27_1_18) = all_213_0_211
% 28.01/9.32 | (523) op2(all_11_0_6, all_27_1_18) = all_213_2_213
% 28.01/9.32 | (524) op1(all_59_0_41, all_213_0_211) = all_213_1_212
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (428) with all_223_0_226 yields:
% 28.01/9.32 | (525) j(all_23_1_12) = all_223_0_226 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_23_1_12, v0) = v1 & op1(all_223_0_226, v3) = v2))
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (525) yields:
% 28.01/9.32 | (526) j(all_23_1_12) = all_223_0_226
% 28.01/9.32 | (527) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_23_1_12, v0) = v1 & op1(all_223_0_226, v3) = v2))
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (527) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.32 | (528) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_23_1_12, all_27_1_18) = v0 & op1(all_223_0_226, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (527) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.32 | (529) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_23_1_12, all_25_1_15) = v0 & op1(all_223_0_226, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (527) with all_11_0_6 and discharging atoms sorti2(all_11_0_6), yields:
% 28.01/9.32 | (530) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_11_0_6) = v2 & op2(all_23_1_12, all_11_0_6) = v0 & op1(all_223_0_226, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating formula (527) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.32 | (531) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_23_1_12, all_9_0_5) = v0 & op1(all_223_0_226, v2) = v1)
% 28.01/9.32 |
% 28.01/9.32 | Instantiating (431) with all_232_0_236, all_232_1_237, all_232_2_238 yields:
% 28.01/9.32 | (532) h(all_232_2_238) = all_232_1_237 & h(all_0_0_0) = all_232_0_236 & op2(all_74_0_60, all_232_0_236) = all_232_1_237 & op1(all_0_2_2, all_0_0_0) = all_232_2_238
% 28.01/9.32 |
% 28.01/9.32 | Applying alpha-rule on (532) yields:
% 28.01/9.32 | (533) h(all_232_2_238) = all_232_1_237
% 28.01/9.32 | (534) h(all_0_0_0) = all_232_0_236
% 28.01/9.32 | (535) op2(all_74_0_60, all_232_0_236) = all_232_1_237
% 28.01/9.33 | (536) op1(all_0_2_2, all_0_0_0) = all_232_2_238
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (443) with all_240_0_248, all_240_1_249, all_240_2_250 yields:
% 28.01/9.33 | (537) j(all_240_2_250) = all_240_1_249 & j(all_9_0_5) = all_240_0_248 & op2(all_27_1_18, all_9_0_5) = all_240_2_250 & op1(all_125_0_106, all_240_0_248) = all_240_1_249
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (537) yields:
% 28.01/9.33 | (538) j(all_240_2_250) = all_240_1_249
% 28.01/9.33 | (539) j(all_9_0_5) = all_240_0_248
% 28.01/9.33 | (540) op2(all_27_1_18, all_9_0_5) = all_240_2_250
% 28.01/9.33 | (541) op1(all_125_0_106, all_240_0_248) = all_240_1_249
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (441) with all_246_0_257, all_246_1_258, all_246_2_259 yields:
% 28.01/9.33 | (542) j(all_246_2_259) = all_246_1_258 & j(all_27_1_18) = all_246_0_257 & op2(all_27_1_18, all_27_1_18) = all_246_2_259 & op1(all_125_0_106, all_246_0_257) = all_246_1_258
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (542) yields:
% 28.01/9.33 | (543) j(all_246_2_259) = all_246_1_258
% 28.01/9.33 | (544) j(all_27_1_18) = all_246_0_257
% 28.01/9.33 | (545) op2(all_27_1_18, all_27_1_18) = all_246_2_259
% 28.01/9.33 | (546) op1(all_125_0_106, all_246_0_257) = all_246_1_258
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (442) with all_248_0_260, all_248_1_261, all_248_2_262 yields:
% 28.01/9.33 | (547) j(all_248_2_262) = all_248_1_261 & j(all_25_1_15) = all_248_0_260 & op2(all_27_1_18, all_25_1_15) = all_248_2_262 & op1(all_125_0_106, all_248_0_260) = all_248_1_261
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (547) yields:
% 28.01/9.33 | (548) j(all_248_2_262) = all_248_1_261
% 28.01/9.33 | (549) j(all_25_1_15) = all_248_0_260
% 28.01/9.33 | (550) op2(all_27_1_18, all_25_1_15) = all_248_2_262
% 28.01/9.33 | (551) op1(all_125_0_106, all_248_0_260) = all_248_1_261
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (464) with all_252_0_266, all_252_1_267, all_252_2_268 yields:
% 28.01/9.33 | (552) j(all_252_2_268) = all_252_1_267 & j(all_9_0_5) = all_252_0_266 & op2(all_29_1_21, all_9_0_5) = all_252_2_268 & op1(all_138_0_121, all_252_0_266) = all_252_1_267
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (552) yields:
% 28.01/9.33 | (553) j(all_252_2_268) = all_252_1_267
% 28.01/9.33 | (554) j(all_9_0_5) = all_252_0_266
% 28.01/9.33 | (555) op2(all_29_1_21, all_9_0_5) = all_252_2_268
% 28.01/9.33 | (556) op1(all_138_0_121, all_252_0_266) = all_252_1_267
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (463) with all_254_0_269, all_254_1_270, all_254_2_271 yields:
% 28.01/9.33 | (557) j(all_254_2_271) = all_254_1_270 & j(all_11_0_6) = all_254_0_269 & op2(all_29_1_21, all_11_0_6) = all_254_2_271 & op1(all_138_0_121, all_254_0_269) = all_254_1_270
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (557) yields:
% 28.01/9.33 | (558) j(all_254_2_271) = all_254_1_270
% 28.01/9.33 | (559) j(all_11_0_6) = all_254_0_269
% 28.01/9.33 | (560) op2(all_29_1_21, all_11_0_6) = all_254_2_271
% 28.01/9.33 | (561) op1(all_138_0_121, all_254_0_269) = all_254_1_270
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (462) with all_258_0_275, all_258_1_276, all_258_2_277 yields:
% 28.01/9.33 | (562) j(all_258_2_277) = all_258_1_276 & j(all_25_1_15) = all_258_0_275 & op2(all_29_1_21, all_25_1_15) = all_258_2_277 & op1(all_138_0_121, all_258_0_275) = all_258_1_276
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (562) yields:
% 28.01/9.33 | (563) j(all_258_2_277) = all_258_1_276
% 28.01/9.33 | (564) j(all_25_1_15) = all_258_0_275
% 28.01/9.33 | (565) op2(all_29_1_21, all_25_1_15) = all_258_2_277
% 28.01/9.33 | (566) op1(all_138_0_121, all_258_0_275) = all_258_1_276
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (461) with all_260_0_278, all_260_1_279, all_260_2_280 yields:
% 28.01/9.33 | (567) j(all_260_2_280) = all_260_1_279 & j(all_27_1_18) = all_260_0_278 & op2(all_29_1_21, all_27_1_18) = all_260_2_280 & op1(all_138_0_121, all_260_0_278) = all_260_1_279
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (567) yields:
% 28.01/9.33 | (568) j(all_260_2_280) = all_260_1_279
% 28.01/9.33 | (569) j(all_27_1_18) = all_260_0_278
% 28.01/9.33 | (570) op2(all_29_1_21, all_27_1_18) = all_260_2_280
% 28.01/9.33 | (571) op1(all_138_0_121, all_260_0_278) = all_260_1_279
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (481) with all_264_0_284, all_264_1_285, all_264_2_286 yields:
% 28.01/9.33 | (572) j(all_264_2_286) = all_264_1_285 & j(all_9_0_5) = all_264_0_284 & op2(all_25_1_15, all_9_0_5) = all_264_2_286 & op1(all_163_0_154, all_264_0_284) = all_264_1_285
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (572) yields:
% 28.01/9.33 | (573) j(all_264_2_286) = all_264_1_285
% 28.01/9.33 | (574) j(all_9_0_5) = all_264_0_284
% 28.01/9.33 | (575) op2(all_25_1_15, all_9_0_5) = all_264_2_286
% 28.01/9.33 | (576) op1(all_163_0_154, all_264_0_284) = all_264_1_285
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (480) with all_266_0_287, all_266_1_288, all_266_2_289 yields:
% 28.01/9.33 | (577) j(all_266_2_289) = all_266_1_288 & j(all_11_0_6) = all_266_0_287 & op2(all_25_1_15, all_11_0_6) = all_266_2_289 & op1(all_163_0_154, all_266_0_287) = all_266_1_288
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (577) yields:
% 28.01/9.33 | (578) j(all_266_2_289) = all_266_1_288
% 28.01/9.33 | (579) j(all_11_0_6) = all_266_0_287
% 28.01/9.33 | (580) op2(all_25_1_15, all_11_0_6) = all_266_2_289
% 28.01/9.33 | (581) op1(all_163_0_154, all_266_0_287) = all_266_1_288
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (478) with all_270_0_293, all_270_1_294, all_270_2_295 yields:
% 28.01/9.33 | (582) j(all_270_2_295) = all_270_1_294 & j(all_27_1_18) = all_270_0_293 & op2(all_25_1_15, all_27_1_18) = all_270_2_295 & op1(all_163_0_154, all_270_0_293) = all_270_1_294
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (582) yields:
% 28.01/9.33 | (583) j(all_270_2_295) = all_270_1_294
% 28.01/9.33 | (584) j(all_27_1_18) = all_270_0_293
% 28.01/9.33 | (585) op2(all_25_1_15, all_27_1_18) = all_270_2_295
% 28.01/9.33 | (586) op1(all_163_0_154, all_270_0_293) = all_270_1_294
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (479) with all_274_0_299, all_274_1_300, all_274_2_301 yields:
% 28.01/9.33 | (587) j(all_274_2_301) = all_274_1_300 & j(all_25_1_15) = all_274_0_299 & op2(all_25_1_15, all_25_1_15) = all_274_2_301 & op1(all_163_0_154, all_274_0_299) = all_274_1_300
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (587) yields:
% 28.01/9.33 | (588) j(all_274_2_301) = all_274_1_300
% 28.01/9.33 | (589) j(all_25_1_15) = all_274_0_299
% 28.01/9.33 | (590) op2(all_25_1_15, all_25_1_15) = all_274_2_301
% 28.01/9.33 | (591) op1(all_163_0_154, all_274_0_299) = all_274_1_300
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (485) with all_284_0_314, all_284_1_315, all_284_2_316 yields:
% 28.01/9.33 | (592) h(all_284_2_316) = all_284_1_315 & h(all_0_0_0) = all_284_0_314 & op2(all_168_0_158, all_284_0_314) = all_284_1_315 & op1(all_0_0_0, all_0_0_0) = all_284_2_316
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (592) yields:
% 28.01/9.33 | (593) h(all_284_2_316) = all_284_1_315
% 28.01/9.33 | (594) h(all_0_0_0) = all_284_0_314
% 28.01/9.33 | (595) op2(all_168_0_158, all_284_0_314) = all_284_1_315
% 28.01/9.33 | (596) op1(all_0_0_0, all_0_0_0) = all_284_2_316
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (505) with all_298_0_335, all_298_1_336, all_298_2_337 yields:
% 28.01/9.33 | (597) h(all_298_2_337) = all_298_1_336 & h(all_0_0_0) = all_298_0_335 & op2(all_201_0_200, all_298_0_335) = all_298_1_336 & op1(all_29_2_22, all_0_0_0) = all_298_2_337
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (597) yields:
% 28.01/9.33 | (598) h(all_298_2_337) = all_298_1_336
% 28.01/9.33 | (599) h(all_0_0_0) = all_298_0_335
% 28.01/9.33 | (600) op2(all_201_0_200, all_298_0_335) = all_298_1_336
% 28.01/9.33 | (601) op1(all_29_2_22, all_0_0_0) = all_298_2_337
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (514) with all_310_0_353, all_310_1_354, all_310_2_355 yields:
% 28.01/9.33 | (602) h(all_310_2_355) = all_310_1_354 & h(all_0_0_0) = all_310_0_353 & op2(all_206_0_204, all_310_0_353) = all_310_1_354 & op1(all_23_2_13, all_0_0_0) = all_310_2_355
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (602) yields:
% 28.01/9.33 | (603) h(all_310_2_355) = all_310_1_354
% 28.01/9.33 | (604) h(all_0_0_0) = all_310_0_353
% 28.01/9.33 | (605) op2(all_206_0_204, all_310_0_353) = all_310_1_354
% 28.01/9.33 | (606) op1(all_23_2_13, all_0_0_0) = all_310_2_355
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (531) with all_318_0_365, all_318_1_366, all_318_2_367 yields:
% 28.01/9.33 | (607) j(all_318_2_367) = all_318_1_366 & j(all_9_0_5) = all_318_0_365 & op2(all_23_1_12, all_9_0_5) = all_318_2_367 & op1(all_223_0_226, all_318_0_365) = all_318_1_366
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (607) yields:
% 28.01/9.33 | (608) j(all_318_2_367) = all_318_1_366
% 28.01/9.33 | (609) j(all_9_0_5) = all_318_0_365
% 28.01/9.33 | (610) op2(all_23_1_12, all_9_0_5) = all_318_2_367
% 28.01/9.33 | (611) op1(all_223_0_226, all_318_0_365) = all_318_1_366
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (530) with all_320_0_368, all_320_1_369, all_320_2_370 yields:
% 28.01/9.33 | (612) j(all_320_2_370) = all_320_1_369 & j(all_11_0_6) = all_320_0_368 & op2(all_23_1_12, all_11_0_6) = all_320_2_370 & op1(all_223_0_226, all_320_0_368) = all_320_1_369
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (612) yields:
% 28.01/9.33 | (613) j(all_320_2_370) = all_320_1_369
% 28.01/9.33 | (614) j(all_11_0_6) = all_320_0_368
% 28.01/9.33 | (615) op2(all_23_1_12, all_11_0_6) = all_320_2_370
% 28.01/9.33 | (616) op1(all_223_0_226, all_320_0_368) = all_320_1_369
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (529) with all_324_0_374, all_324_1_375, all_324_2_376 yields:
% 28.01/9.33 | (617) j(all_324_2_376) = all_324_1_375 & j(all_25_1_15) = all_324_0_374 & op2(all_23_1_12, all_25_1_15) = all_324_2_376 & op1(all_223_0_226, all_324_0_374) = all_324_1_375
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (617) yields:
% 28.01/9.33 | (618) j(all_324_2_376) = all_324_1_375
% 28.01/9.33 | (619) j(all_25_1_15) = all_324_0_374
% 28.01/9.33 | (620) op2(all_23_1_12, all_25_1_15) = all_324_2_376
% 28.01/9.33 | (621) op1(all_223_0_226, all_324_0_374) = all_324_1_375
% 28.01/9.33 |
% 28.01/9.33 | Instantiating (528) with all_326_0_377, all_326_1_378, all_326_2_379 yields:
% 28.01/9.33 | (622) j(all_326_2_379) = all_326_1_378 & j(all_27_1_18) = all_326_0_377 & op2(all_23_1_12, all_27_1_18) = all_326_2_379 & op1(all_223_0_226, all_326_0_377) = all_326_1_378
% 28.01/9.33 |
% 28.01/9.33 | Applying alpha-rule on (622) yields:
% 28.01/9.33 | (623) j(all_326_2_379) = all_326_1_378
% 28.01/9.33 | (624) j(all_27_1_18) = all_326_0_377
% 28.01/9.33 | (625) op2(all_23_1_12, all_27_1_18) = all_326_2_379
% 28.01/9.33 | (626) op1(all_223_0_226, all_326_0_377) = all_326_1_378
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_270_0_293, all_326_0_377 and discharging atoms j(all_27_1_18) = all_326_0_377, j(all_27_1_18) = all_270_0_293, yields:
% 28.01/9.33 | (627) all_326_0_377 = all_270_0_293
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_260_0_278, all_270_0_293 and discharging atoms j(all_27_1_18) = all_270_0_293, j(all_27_1_18) = all_260_0_278, yields:
% 28.01/9.33 | (628) all_270_0_293 = all_260_0_278
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_246_0_257, all_326_0_377 and discharging atoms j(all_27_1_18) = all_326_0_377, j(all_27_1_18) = all_246_0_257, yields:
% 28.01/9.33 | (629) all_326_0_377 = all_246_0_257
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_213_0_211, all_260_0_278 and discharging atoms j(all_27_1_18) = all_260_0_278, j(all_27_1_18) = all_213_0_211, yields:
% 28.01/9.33 | (630) all_260_0_278 = all_213_0_211
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_134_0_116, all_0_2_2 and discharging atoms j(all_27_1_18) = all_134_0_116, j(all_27_1_18) = all_0_2_2, yields:
% 28.01/9.33 | (631) all_134_0_116 = all_0_2_2
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_134_0_116, all_213_0_211 and discharging atoms j(all_27_1_18) = all_213_0_211, j(all_27_1_18) = all_134_0_116, yields:
% 28.01/9.33 | (632) all_213_0_211 = all_134_0_116
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_27_1_18, all_125_0_106, all_260_0_278 and discharging atoms j(all_27_1_18) = all_260_0_278, j(all_27_1_18) = all_125_0_106, yields:
% 28.01/9.33 | (633) all_260_0_278 = all_125_0_106
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_258_0_275, all_324_0_374 and discharging atoms j(all_25_1_15) = all_324_0_374, j(all_25_1_15) = all_258_0_275, yields:
% 28.01/9.33 | (634) all_324_0_374 = all_258_0_275
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_248_0_260, all_0_1_1 and discharging atoms j(all_25_1_15) = all_248_0_260, j(all_25_1_15) = all_0_1_1, yields:
% 28.01/9.33 | (635) all_248_0_260 = all_0_1_1
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_248_0_260, all_274_0_299 and discharging atoms j(all_25_1_15) = all_274_0_299, j(all_25_1_15) = all_248_0_260, yields:
% 28.01/9.33 | (636) all_274_0_299 = all_248_0_260
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_163_0_154, all_324_0_374 and discharging atoms j(all_25_1_15) = all_324_0_374, j(all_25_1_15) = all_163_0_154, yields:
% 28.01/9.33 | (637) all_324_0_374 = all_163_0_154
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_163_0_154, all_248_0_260 and discharging atoms j(all_25_1_15) = all_248_0_260, j(all_25_1_15) = all_163_0_154, yields:
% 28.01/9.33 | (638) all_248_0_260 = all_163_0_154
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_161_0_151, all_274_0_299 and discharging atoms j(all_25_1_15) = all_274_0_299, j(all_25_1_15) = all_161_0_151, yields:
% 28.01/9.33 | (639) all_274_0_299 = all_161_0_151
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_25_1_15, all_159_0_148, all_324_0_374 and discharging atoms j(all_25_1_15) = all_324_0_374, j(all_25_1_15) = all_159_0_148, yields:
% 28.01/9.33 | (640) all_324_0_374 = all_159_0_148
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_11_0_6, all_320_0_368, all_0_4_4 and discharging atoms j(all_11_0_6) = all_320_0_368, j(all_11_0_6) = all_0_4_4, yields:
% 28.01/9.33 | (641) all_320_0_368 = all_0_4_4
% 28.01/9.33 |
% 28.01/9.33 | Instantiating formula (11) with all_11_0_6, all_266_0_287, all_320_0_368 and discharging atoms j(all_11_0_6) = all_320_0_368, j(all_11_0_6) = all_266_0_287, yields:
% 28.01/9.34 | (642) all_320_0_368 = all_266_0_287
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (11) with all_11_0_6, all_254_0_269, all_320_0_368 and discharging atoms j(all_11_0_6) = all_320_0_368, j(all_11_0_6) = all_254_0_269, yields:
% 28.01/9.34 | (643) all_320_0_368 = all_254_0_269
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (11) with all_9_0_5, all_264_0_284, all_318_0_365 and discharging atoms j(all_9_0_5) = all_318_0_365, j(all_9_0_5) = all_264_0_284, yields:
% 28.01/9.34 | (644) all_318_0_365 = all_264_0_284
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (11) with all_9_0_5, all_252_0_266, all_0_3_3 and discharging atoms j(all_9_0_5) = all_252_0_266, j(all_9_0_5) = all_0_3_3, yields:
% 28.01/9.34 | (645) all_252_0_266 = all_0_3_3
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (11) with all_9_0_5, all_252_0_266, all_264_0_284 and discharging atoms j(all_9_0_5) = all_264_0_284, j(all_9_0_5) = all_252_0_266, yields:
% 28.01/9.34 | (646) all_264_0_284 = all_252_0_266
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (11) with all_9_0_5, all_240_0_248, all_318_0_365 and discharging atoms j(all_9_0_5) = all_318_0_365, j(all_9_0_5) = all_240_0_248, yields:
% 28.01/9.34 | (647) all_318_0_365 = all_240_0_248
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_298_0_335, all_310_0_353 and discharging atoms h(all_0_0_0) = all_310_0_353, h(all_0_0_0) = all_298_0_335, yields:
% 28.01/9.34 | (648) all_310_0_353 = all_298_0_335
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_284_0_314, all_298_0_335 and discharging atoms h(all_0_0_0) = all_298_0_335, h(all_0_0_0) = all_284_0_314, yields:
% 28.01/9.34 | (649) all_298_0_335 = all_284_0_314
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_232_0_236, all_284_0_314 and discharging atoms h(all_0_0_0) = all_284_0_314, h(all_0_0_0) = all_232_0_236, yields:
% 28.01/9.34 | (650) all_284_0_314 = all_232_0_236
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_204_0_201, all_46_0_27 and discharging atoms h(all_0_0_0) = all_204_0_201, h(all_0_0_0) = all_46_0_27, yields:
% 28.01/9.34 | (651) all_204_0_201 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_204_0_201, all_232_0_236 and discharging atoms h(all_0_0_0) = all_232_0_236, h(all_0_0_0) = all_204_0_201, yields:
% 28.01/9.34 | (652) all_232_0_236 = all_204_0_201
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_197_0_194, all_204_0_201 and discharging atoms h(all_0_0_0) = all_204_0_201, h(all_0_0_0) = all_197_0_194, yields:
% 28.01/9.34 | (653) all_204_0_201 = all_197_0_194
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_195_0_191, all_310_0_353 and discharging atoms h(all_0_0_0) = all_310_0_353, h(all_0_0_0) = all_195_0_191, yields:
% 28.01/9.34 | (654) all_310_0_353 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_173_0_160, all_204_0_201 and discharging atoms h(all_0_0_0) = all_204_0_201, h(all_0_0_0) = all_173_0_160, yields:
% 28.01/9.34 | (655) all_204_0_201 = all_173_0_160
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (7) with all_0_0_0, all_171_0_159, all_173_0_160 and discharging atoms h(all_0_0_0) = all_173_0_160, h(all_0_0_0) = all_171_0_159, yields:
% 28.01/9.34 | (656) all_173_0_160 = all_171_0_159
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_211_2_210, all_266_2_289 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_266_2_289, op2(all_25_1_15, all_11_0_6) = all_211_2_210, yields:
% 28.01/9.34 | (657) all_266_2_289 = all_211_2_210
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_136_0_119, all_46_0_27 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_136_0_119, op2(all_25_1_15, all_11_0_6) = all_46_0_27, yields:
% 28.01/9.34 | (658) all_136_0_119 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_136_0_119, all_211_2_210 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_211_2_210, op2(all_25_1_15, all_11_0_6) = all_136_0_119, yields:
% 28.01/9.34 | (659) all_211_2_210 = all_136_0_119
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (9) with all_25_1_15, all_11_0_6, all_132_2_115, all_266_2_289 and discharging atoms op2(all_25_1_15, all_11_0_6) = all_266_2_289, op2(all_25_1_15, all_11_0_6) = all_132_2_115, yields:
% 28.01/9.34 | (660) all_266_2_289 = all_132_2_115
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (9) with all_9_0_5, all_11_0_6, all_136_1_120, all_27_1_18 and discharging atoms op2(all_9_0_5, all_11_0_6) = all_136_1_120, op2(all_9_0_5, all_11_0_6) = all_27_1_18, yields:
% 28.01/9.34 | (661) all_136_1_120 = all_27_1_18
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (627,629) yields a new equation:
% 28.01/9.34 | (662) all_270_0_293 = all_246_0_257
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 662 yields:
% 28.01/9.34 | (663) all_270_0_293 = all_246_0_257
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (640,634) yields a new equation:
% 28.01/9.34 | (664) all_258_0_275 = all_159_0_148
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (637,634) yields a new equation:
% 28.01/9.34 | (665) all_258_0_275 = all_163_0_154
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (643,642) yields a new equation:
% 28.01/9.34 | (666) all_266_0_287 = all_254_0_269
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (641,642) yields a new equation:
% 28.01/9.34 | (667) all_266_0_287 = all_0_4_4
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (644,647) yields a new equation:
% 28.01/9.34 | (668) all_264_0_284 = all_240_0_248
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 668 yields:
% 28.01/9.34 | (669) all_264_0_284 = all_240_0_248
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (648,654) yields a new equation:
% 28.01/9.34 | (670) all_298_0_335 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 670 yields:
% 28.01/9.34 | (671) all_298_0_335 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (649,671) yields a new equation:
% 28.01/9.34 | (672) all_284_0_314 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 672 yields:
% 28.01/9.34 | (673) all_284_0_314 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (650,673) yields a new equation:
% 28.01/9.34 | (674) all_232_0_236 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 674 yields:
% 28.01/9.34 | (675) all_232_0_236 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (636,639) yields a new equation:
% 28.01/9.34 | (676) all_248_0_260 = all_161_0_151
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 676 yields:
% 28.01/9.34 | (677) all_248_0_260 = all_161_0_151
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (628,663) yields a new equation:
% 28.01/9.34 | (678) all_260_0_278 = all_246_0_257
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 678 yields:
% 28.01/9.34 | (679) all_260_0_278 = all_246_0_257
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (667,666) yields a new equation:
% 28.01/9.34 | (680) all_254_0_269 = all_0_4_4
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (657,660) yields a new equation:
% 28.01/9.34 | (681) all_211_2_210 = all_132_2_115
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 681 yields:
% 28.01/9.34 | (682) all_211_2_210 = all_132_2_115
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (646,669) yields a new equation:
% 28.01/9.34 | (683) all_252_0_266 = all_240_0_248
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 683 yields:
% 28.01/9.34 | (684) all_252_0_266 = all_240_0_248
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (633,679) yields a new equation:
% 28.01/9.34 | (685) all_246_0_257 = all_125_0_106
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (630,679) yields a new equation:
% 28.01/9.34 | (686) all_246_0_257 = all_213_0_211
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (665,664) yields a new equation:
% 28.01/9.34 | (687) all_163_0_154 = all_159_0_148
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 687 yields:
% 28.01/9.34 | (688) all_163_0_154 = all_159_0_148
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (645,684) yields a new equation:
% 28.01/9.34 | (689) all_240_0_248 = all_0_3_3
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (638,677) yields a new equation:
% 28.01/9.34 | (690) all_163_0_154 = all_161_0_151
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 690 yields:
% 28.01/9.34 | (691) all_163_0_154 = all_161_0_151
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (635,677) yields a new equation:
% 28.01/9.34 | (692) all_161_0_151 = all_0_1_1
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (686,685) yields a new equation:
% 28.01/9.34 | (693) all_213_0_211 = all_125_0_106
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 693 yields:
% 28.01/9.34 | (694) all_213_0_211 = all_125_0_106
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (652,675) yields a new equation:
% 28.01/9.34 | (695) all_204_0_201 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 695 yields:
% 28.01/9.34 | (696) all_204_0_201 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (632,694) yields a new equation:
% 28.01/9.34 | (697) all_134_0_116 = all_125_0_106
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 697 yields:
% 28.01/9.34 | (698) all_134_0_116 = all_125_0_106
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (659,682) yields a new equation:
% 28.01/9.34 | (699) all_136_0_119 = all_132_2_115
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 699 yields:
% 28.01/9.34 | (700) all_136_0_119 = all_132_2_115
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (655,653) yields a new equation:
% 28.01/9.34 | (701) all_197_0_194 = all_173_0_160
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (651,653) yields a new equation:
% 28.01/9.34 | (702) all_197_0_194 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (696,653) yields a new equation:
% 28.01/9.34 | (703) all_197_0_194 = all_195_0_191
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (701,703) yields a new equation:
% 28.01/9.34 | (704) all_195_0_191 = all_173_0_160
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (702,703) yields a new equation:
% 28.01/9.34 | (705) all_195_0_191 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (704,705) yields a new equation:
% 28.01/9.34 | (706) all_173_0_160 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 706 yields:
% 28.01/9.34 | (707) all_173_0_160 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (656,707) yields a new equation:
% 28.01/9.34 | (708) all_171_0_159 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 708 yields:
% 28.01/9.34 | (709) all_171_0_159 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (691,688) yields a new equation:
% 28.01/9.34 | (710) all_161_0_151 = all_159_0_148
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 710 yields:
% 28.01/9.34 | (711) all_161_0_151 = all_159_0_148
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (692,711) yields a new equation:
% 28.01/9.34 | (712) all_159_0_148 = all_0_1_1
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (700,658) yields a new equation:
% 28.01/9.34 | (713) all_132_2_115 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 713 yields:
% 28.01/9.34 | (714) all_132_2_115 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (698,631) yields a new equation:
% 28.01/9.34 | (715) all_125_0_106 = all_0_2_2
% 28.01/9.34 |
% 28.01/9.34 | Simplifying 715 yields:
% 28.01/9.34 | (716) all_125_0_106 = all_0_2_2
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (712,688) yields a new equation:
% 28.01/9.34 | (717) all_163_0_154 = all_0_1_1
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (714,660) yields a new equation:
% 28.01/9.34 | (718) all_266_2_289 = all_46_0_27
% 28.01/9.34 |
% 28.01/9.34 | Combining equations (680,666) yields a new equation:
% 28.01/9.34 | (667) all_266_0_287 = all_0_4_4
% 28.01/9.34 |
% 28.01/9.34 | From (718) and (578) follows:
% 28.01/9.34 | (720) j(all_46_0_27) = all_266_1_288
% 28.01/9.34 |
% 28.01/9.34 | From (716) and (439) follows:
% 28.01/9.34 | (400) j(all_27_1_18) = all_0_2_2
% 28.01/9.34 |
% 28.01/9.34 | From (712) and (467) follows:
% 28.01/9.34 | (401) j(all_25_1_15) = all_0_1_1
% 28.01/9.34 |
% 28.01/9.34 | From (689) and (539) follows:
% 28.01/9.34 | (102) j(all_9_0_5) = all_0_3_3
% 28.01/9.34 |
% 28.01/9.34 | From (717)(667) and (581) follows:
% 28.01/9.34 | (724) op1(all_0_1_1, all_0_4_4) = all_266_1_288
% 28.01/9.34 |
% 28.01/9.34 | From (709) and (488) follows:
% 28.01/9.34 | (725) sorti2(all_46_0_27)
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (5) with all_0_1_1, all_0_4_4, all_266_1_288, all_0_0_0 and discharging atoms op1(all_0_1_1, all_0_4_4) = all_266_1_288, op1(all_0_1_1, all_0_4_4) = all_0_0_0, yields:
% 28.01/9.34 | (726) all_266_1_288 = all_0_0_0
% 28.01/9.34 |
% 28.01/9.34 | From (726) and (720) follows:
% 28.01/9.34 | (727) j(all_46_0_27) = all_0_0_0
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_105_1_98 and discharging atoms sorti2(all_105_1_98), yields:
% 28.01/9.34 | (728) ? [v0] : (j(all_105_1_98) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_105_1_98, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_103_1_95 and discharging atoms sorti2(all_103_1_95), yields:
% 28.01/9.34 | (729) ? [v0] : (j(all_103_1_95) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_103_1_95, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_91_1_77 and discharging atoms sorti2(all_91_1_77), yields:
% 28.01/9.34 | (730) ? [v0] : (j(all_91_1_77) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_91_1_77, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_89_1_74 and discharging atoms sorti2(all_89_1_74), yields:
% 28.01/9.34 | (731) ? [v0] : (j(all_89_1_74) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_89_1_74, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_83_1_65 and discharging atoms sorti2(all_83_1_65), yields:
% 28.01/9.34 | (732) ? [v0] : (j(all_83_1_65) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_83_1_65, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_64_0_45 and discharging atoms sorti2(all_64_0_45), yields:
% 28.01/9.34 | (733) ? [v0] : (j(all_64_0_45) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_64_0_45, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_64_1_46 and discharging atoms sorti2(all_64_1_46), yields:
% 28.01/9.34 | (734) ? [v0] : (j(all_64_1_46) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_64_1_46, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_54_1_38 and discharging atoms sorti2(all_54_1_38), yields:
% 28.01/9.34 | (735) ? [v0] : (j(all_54_1_38) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_54_1_38, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (13) with all_52_1_35 and discharging atoms sorti2(all_52_1_35), yields:
% 28.01/9.34 | (736) ? [v0] : (j(all_52_1_35) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_52_1_35, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (460) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.34 | (737) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_29_1_21, all_46_0_27) = v0 & op1(all_138_0_121, v2) = v1)
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (440) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.34 | (738) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_27_1_18, all_46_0_27) = v0 & op1(all_125_0_106, v2) = v1)
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (477) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.34 | (739) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_25_1_15, all_46_0_27) = v0 & op1(all_163_0_154, v2) = v1)
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (527) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.34 | (740) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_23_1_12, all_46_0_27) = v0 & op1(all_223_0_226, v2) = v1)
% 28.01/9.34 |
% 28.01/9.34 | Instantiating formula (177) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (741) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_11_0_6, all_46_0_27) = v0 & op1(all_59_0_41, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (172) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (742) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_9_0_5, all_46_0_27) = v0 & op1(all_56_0_40, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (13) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (743) ? [v0] : (j(all_46_0_27) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_46_0_27, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (13) with all_41_1_24 and discharging atoms sorti2(all_41_1_24), yields:
% 28.01/9.35 | (744) ? [v0] : (j(all_41_1_24) = v0 & ! [v1] : ( ~ sorti2(v1) | ? [v2] : ? [v3] : ? [v4] : (j(v2) = v3 & j(v1) = v4 & op2(all_41_1_24, v1) = v2 & op1(v0, v4) = v3)))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (742) with all_356_0_401, all_356_1_402, all_356_2_403 yields:
% 28.01/9.35 | (745) j(all_356_2_403) = all_356_1_402 & j(all_46_0_27) = all_356_0_401 & op2(all_9_0_5, all_46_0_27) = all_356_2_403 & op1(all_56_0_40, all_356_0_401) = all_356_1_402
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (745) yields:
% 28.01/9.35 | (746) j(all_356_2_403) = all_356_1_402
% 28.01/9.35 | (747) j(all_46_0_27) = all_356_0_401
% 28.01/9.35 | (748) op2(all_9_0_5, all_46_0_27) = all_356_2_403
% 28.01/9.35 | (749) op1(all_56_0_40, all_356_0_401) = all_356_1_402
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (741) with all_358_0_404, all_358_1_405, all_358_2_406 yields:
% 28.01/9.35 | (750) j(all_358_2_406) = all_358_1_405 & j(all_46_0_27) = all_358_0_404 & op2(all_11_0_6, all_46_0_27) = all_358_2_406 & op1(all_59_0_41, all_358_0_404) = all_358_1_405
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (750) yields:
% 28.01/9.35 | (751) j(all_358_2_406) = all_358_1_405
% 28.01/9.35 | (752) j(all_46_0_27) = all_358_0_404
% 28.01/9.35 | (753) op2(all_11_0_6, all_46_0_27) = all_358_2_406
% 28.01/9.35 | (754) op1(all_59_0_41, all_358_0_404) = all_358_1_405
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (740) with all_360_0_407, all_360_1_408, all_360_2_409 yields:
% 28.01/9.35 | (755) j(all_360_2_409) = all_360_1_408 & j(all_46_0_27) = all_360_0_407 & op2(all_23_1_12, all_46_0_27) = all_360_2_409 & op1(all_223_0_226, all_360_0_407) = all_360_1_408
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (755) yields:
% 28.01/9.35 | (756) j(all_360_2_409) = all_360_1_408
% 28.01/9.35 | (757) j(all_46_0_27) = all_360_0_407
% 28.01/9.35 | (758) op2(all_23_1_12, all_46_0_27) = all_360_2_409
% 28.01/9.35 | (759) op1(all_223_0_226, all_360_0_407) = all_360_1_408
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (739) with all_362_0_410, all_362_1_411, all_362_2_412 yields:
% 28.01/9.35 | (760) j(all_362_2_412) = all_362_1_411 & j(all_46_0_27) = all_362_0_410 & op2(all_25_1_15, all_46_0_27) = all_362_2_412 & op1(all_163_0_154, all_362_0_410) = all_362_1_411
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (760) yields:
% 28.01/9.35 | (761) j(all_362_2_412) = all_362_1_411
% 28.01/9.35 | (762) j(all_46_0_27) = all_362_0_410
% 28.01/9.35 | (763) op2(all_25_1_15, all_46_0_27) = all_362_2_412
% 28.01/9.35 | (764) op1(all_163_0_154, all_362_0_410) = all_362_1_411
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (730) with all_368_0_419 yields:
% 28.01/9.35 | (765) j(all_91_1_77) = all_368_0_419 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_91_1_77, v0) = v1 & op1(all_368_0_419, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (765) yields:
% 28.01/9.35 | (766) j(all_91_1_77) = all_368_0_419
% 28.01/9.35 | (767) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_91_1_77, v0) = v1 & op1(all_368_0_419, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (767) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (768) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_91_1_77, all_46_0_27) = v0 & op1(all_368_0_419, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (767) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (769) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_91_1_77, all_27_1_18) = v0 & op1(all_368_0_419, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (767) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (770) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_91_1_77, all_25_1_15) = v0 & op1(all_368_0_419, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (767) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (771) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_91_1_77, all_9_0_5) = v0 & op1(all_368_0_419, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (736) with all_405_0_464 yields:
% 28.01/9.35 | (772) j(all_52_1_35) = all_405_0_464 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_52_1_35, v0) = v1 & op1(all_405_0_464, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (772) yields:
% 28.01/9.35 | (773) j(all_52_1_35) = all_405_0_464
% 28.01/9.35 | (774) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_52_1_35, v0) = v1 & op1(all_405_0_464, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (774) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (775) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_52_1_35, all_46_0_27) = v0 & op1(all_405_0_464, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (774) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (776) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_52_1_35, all_27_1_18) = v0 & op1(all_405_0_464, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (774) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (777) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_52_1_35, all_25_1_15) = v0 & op1(all_405_0_464, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (774) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (778) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_52_1_35, all_9_0_5) = v0 & op1(all_405_0_464, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (733) with all_483_0_567 yields:
% 28.01/9.35 | (779) j(all_64_0_45) = all_483_0_567 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_64_0_45, v0) = v1 & op1(all_483_0_567, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (779) yields:
% 28.01/9.35 | (780) j(all_64_0_45) = all_483_0_567
% 28.01/9.35 | (781) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_64_0_45, v0) = v1 & op1(all_483_0_567, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (781) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (782) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_64_0_45, all_46_0_27) = v0 & op1(all_483_0_567, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (781) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (783) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_64_0_45, all_27_1_18) = v0 & op1(all_483_0_567, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (781) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (784) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_64_0_45, all_25_1_15) = v0 & op1(all_483_0_567, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (781) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (785) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_64_0_45, all_9_0_5) = v0 & op1(all_483_0_567, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (732) with all_581_0_707 yields:
% 28.01/9.35 | (786) j(all_83_1_65) = all_581_0_707 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_83_1_65, v0) = v1 & op1(all_581_0_707, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (786) yields:
% 28.01/9.35 | (787) j(all_83_1_65) = all_581_0_707
% 28.01/9.35 | (788) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_83_1_65, v0) = v1 & op1(all_581_0_707, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (788) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (789) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_83_1_65, all_46_0_27) = v0 & op1(all_581_0_707, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (788) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (790) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_83_1_65, all_27_1_18) = v0 & op1(all_581_0_707, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (788) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (791) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_83_1_65, all_25_1_15) = v0 & op1(all_581_0_707, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (788) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (792) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_83_1_65, all_9_0_5) = v0 & op1(all_581_0_707, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (735) with all_588_0_714 yields:
% 28.01/9.35 | (793) j(all_54_1_38) = all_588_0_714 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_54_1_38, v0) = v1 & op1(all_588_0_714, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (793) yields:
% 28.01/9.35 | (794) j(all_54_1_38) = all_588_0_714
% 28.01/9.35 | (795) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_54_1_38, v0) = v1 & op1(all_588_0_714, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (795) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (796) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_54_1_38, all_46_0_27) = v0 & op1(all_588_0_714, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (795) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (797) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_54_1_38, all_27_1_18) = v0 & op1(all_588_0_714, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (795) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (798) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_54_1_38, all_25_1_15) = v0 & op1(all_588_0_714, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (795) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (799) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_54_1_38, all_9_0_5) = v0 & op1(all_588_0_714, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (731) with all_665_0_812 yields:
% 28.01/9.35 | (800) j(all_89_1_74) = all_665_0_812 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_89_1_74, v0) = v1 & op1(all_665_0_812, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (800) yields:
% 28.01/9.35 | (801) j(all_89_1_74) = all_665_0_812
% 28.01/9.35 | (802) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_89_1_74, v0) = v1 & op1(all_665_0_812, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (802) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (803) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_89_1_74, all_46_0_27) = v0 & op1(all_665_0_812, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (802) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.35 | (804) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_89_1_74, all_27_1_18) = v0 & op1(all_665_0_812, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (802) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.35 | (805) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_89_1_74, all_25_1_15) = v0 & op1(all_665_0_812, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (802) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.35 | (806) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_89_1_74, all_9_0_5) = v0 & op1(all_665_0_812, v2) = v1)
% 28.01/9.35 |
% 28.01/9.35 | Instantiating (743) with all_684_0_837 yields:
% 28.01/9.35 | (807) j(all_46_0_27) = all_684_0_837 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_46_0_27, v0) = v1 & op1(all_684_0_837, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Applying alpha-rule on (807) yields:
% 28.01/9.35 | (808) j(all_46_0_27) = all_684_0_837
% 28.01/9.35 | (809) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_46_0_27, v0) = v1 & op1(all_684_0_837, v3) = v2))
% 28.01/9.35 |
% 28.01/9.35 | Instantiating formula (809) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.35 | (810) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_46_0_27, all_46_0_27) = v0 & op1(all_684_0_837, v2) = v1)
% 28.01/9.35 |
% 28.01/9.36 | Instantiating formula (809) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.36 | (811) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_46_0_27, all_27_1_18) = v0 & op1(all_684_0_837, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (809) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.36 | (812) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_46_0_27, all_25_1_15) = v0 & op1(all_684_0_837, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (809) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.36 | (813) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_46_0_27, all_9_0_5) = v0 & op1(all_684_0_837, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (738) with all_705_0_865, all_705_1_866, all_705_2_867 yields:
% 28.01/9.36 | (814) j(all_705_2_867) = all_705_1_866 & j(all_46_0_27) = all_705_0_865 & op2(all_27_1_18, all_46_0_27) = all_705_2_867 & op1(all_125_0_106, all_705_0_865) = all_705_1_866
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (814) yields:
% 28.01/9.36 | (815) j(all_705_2_867) = all_705_1_866
% 28.01/9.36 | (816) j(all_46_0_27) = all_705_0_865
% 28.01/9.36 | (817) op2(all_27_1_18, all_46_0_27) = all_705_2_867
% 28.01/9.36 | (818) op1(all_125_0_106, all_705_0_865) = all_705_1_866
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (737) with all_723_0_892, all_723_1_893, all_723_2_894 yields:
% 28.01/9.36 | (819) j(all_723_2_894) = all_723_1_893 & j(all_46_0_27) = all_723_0_892 & op2(all_29_1_21, all_46_0_27) = all_723_2_894 & op1(all_138_0_121, all_723_0_892) = all_723_1_893
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (819) yields:
% 28.01/9.36 | (820) j(all_723_2_894) = all_723_1_893
% 28.01/9.36 | (821) j(all_46_0_27) = all_723_0_892
% 28.01/9.36 | (822) op2(all_29_1_21, all_46_0_27) = all_723_2_894
% 28.01/9.36 | (823) op1(all_138_0_121, all_723_0_892) = all_723_1_893
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (744) with all_775_0_970 yields:
% 28.01/9.36 | (824) j(all_41_1_24) = all_775_0_970 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_41_1_24, v0) = v1 & op1(all_775_0_970, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (824) yields:
% 28.01/9.36 | (825) j(all_41_1_24) = all_775_0_970
% 28.01/9.36 | (826) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_41_1_24, v0) = v1 & op1(all_775_0_970, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (826) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.36 | (827) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_41_1_24, all_46_0_27) = v0 & op1(all_775_0_970, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (826) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.36 | (828) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_41_1_24, all_27_1_18) = v0 & op1(all_775_0_970, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (826) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.36 | (829) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_41_1_24, all_25_1_15) = v0 & op1(all_775_0_970, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (826) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.36 | (830) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_41_1_24, all_9_0_5) = v0 & op1(all_775_0_970, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (734) with all_822_0_1037 yields:
% 28.01/9.36 | (831) j(all_64_1_46) = all_822_0_1037 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_64_1_46, v0) = v1 & op1(all_822_0_1037, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (831) yields:
% 28.01/9.36 | (832) j(all_64_1_46) = all_822_0_1037
% 28.01/9.36 | (833) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_64_1_46, v0) = v1 & op1(all_822_0_1037, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (833) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.36 | (834) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_64_1_46, all_46_0_27) = v0 & op1(all_822_0_1037, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (833) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.36 | (835) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_64_1_46, all_27_1_18) = v0 & op1(all_822_0_1037, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (833) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.36 | (836) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_64_1_46, all_25_1_15) = v0 & op1(all_822_0_1037, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (833) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.36 | (837) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_64_1_46, all_9_0_5) = v0 & op1(all_822_0_1037, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (728) with all_845_0_1068 yields:
% 28.01/9.36 | (838) j(all_105_1_98) = all_845_0_1068 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_105_1_98, v0) = v1 & op1(all_845_0_1068, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (838) yields:
% 28.01/9.36 | (839) j(all_105_1_98) = all_845_0_1068
% 28.01/9.36 | (840) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_105_1_98, v0) = v1 & op1(all_845_0_1068, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (840) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.36 | (841) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_105_1_98, all_46_0_27) = v0 & op1(all_845_0_1068, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (840) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.36 | (842) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_105_1_98, all_27_1_18) = v0 & op1(all_845_0_1068, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (840) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.36 | (843) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_105_1_98, all_25_1_15) = v0 & op1(all_845_0_1068, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (840) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.36 | (844) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_105_1_98, all_9_0_5) = v0 & op1(all_845_0_1068, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (729) with all_858_0_1084 yields:
% 28.01/9.36 | (845) j(all_103_1_95) = all_858_0_1084 & ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_103_1_95, v0) = v1 & op1(all_858_0_1084, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (845) yields:
% 28.01/9.36 | (846) j(all_103_1_95) = all_858_0_1084
% 28.01/9.36 | (847) ! [v0] : ( ~ sorti2(v0) | ? [v1] : ? [v2] : ? [v3] : (j(v1) = v2 & j(v0) = v3 & op2(all_103_1_95, v0) = v1 & op1(all_858_0_1084, v3) = v2))
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (847) with all_46_0_27 and discharging atoms sorti2(all_46_0_27), yields:
% 28.01/9.36 | (848) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_46_0_27) = v2 & op2(all_103_1_95, all_46_0_27) = v0 & op1(all_858_0_1084, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (847) with all_27_1_18 and discharging atoms sorti2(all_27_1_18), yields:
% 28.01/9.36 | (849) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_27_1_18) = v2 & op2(all_103_1_95, all_27_1_18) = v0 & op1(all_858_0_1084, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (847) with all_25_1_15 and discharging atoms sorti2(all_25_1_15), yields:
% 28.01/9.36 | (850) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_25_1_15) = v2 & op2(all_103_1_95, all_25_1_15) = v0 & op1(all_858_0_1084, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating formula (847) with all_9_0_5 and discharging atoms sorti2(all_9_0_5), yields:
% 28.01/9.36 | (851) ? [v0] : ? [v1] : ? [v2] : (j(v0) = v1 & j(all_9_0_5) = v2 & op2(all_103_1_95, all_9_0_5) = v0 & op1(all_858_0_1084, v2) = v1)
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (771) with all_875_0_1106, all_875_1_1107, all_875_2_1108 yields:
% 28.01/9.36 | (852) j(all_875_2_1108) = all_875_1_1107 & j(all_9_0_5) = all_875_0_1106 & op2(all_91_1_77, all_9_0_5) = all_875_2_1108 & op1(all_368_0_419, all_875_0_1106) = all_875_1_1107
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (852) yields:
% 28.01/9.36 | (853) j(all_875_2_1108) = all_875_1_1107
% 28.01/9.36 | (854) j(all_9_0_5) = all_875_0_1106
% 28.01/9.36 | (855) op2(all_91_1_77, all_9_0_5) = all_875_2_1108
% 28.01/9.36 | (856) op1(all_368_0_419, all_875_0_1106) = all_875_1_1107
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (770) with all_879_0_1112, all_879_1_1113, all_879_2_1114 yields:
% 28.01/9.36 | (857) j(all_879_2_1114) = all_879_1_1113 & j(all_25_1_15) = all_879_0_1112 & op2(all_91_1_77, all_25_1_15) = all_879_2_1114 & op1(all_368_0_419, all_879_0_1112) = all_879_1_1113
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (857) yields:
% 28.01/9.36 | (858) j(all_879_2_1114) = all_879_1_1113
% 28.01/9.36 | (859) j(all_25_1_15) = all_879_0_1112
% 28.01/9.36 | (860) op2(all_91_1_77, all_25_1_15) = all_879_2_1114
% 28.01/9.36 | (861) op1(all_368_0_419, all_879_0_1112) = all_879_1_1113
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (769) with all_881_0_1115, all_881_1_1116, all_881_2_1117 yields:
% 28.01/9.36 | (862) j(all_881_2_1117) = all_881_1_1116 & j(all_27_1_18) = all_881_0_1115 & op2(all_91_1_77, all_27_1_18) = all_881_2_1117 & op1(all_368_0_419, all_881_0_1115) = all_881_1_1116
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (862) yields:
% 28.01/9.36 | (863) j(all_881_2_1117) = all_881_1_1116
% 28.01/9.36 | (864) j(all_27_1_18) = all_881_0_1115
% 28.01/9.36 | (865) op2(all_91_1_77, all_27_1_18) = all_881_2_1117
% 28.01/9.36 | (866) op1(all_368_0_419, all_881_0_1115) = all_881_1_1116
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (768) with all_899_0_1142, all_899_1_1143, all_899_2_1144 yields:
% 28.01/9.36 | (867) j(all_899_2_1144) = all_899_1_1143 & j(all_46_0_27) = all_899_0_1142 & op2(all_91_1_77, all_46_0_27) = all_899_2_1144 & op1(all_368_0_419, all_899_0_1142) = all_899_1_1143
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (867) yields:
% 28.01/9.36 | (868) j(all_899_2_1144) = all_899_1_1143
% 28.01/9.36 | (869) j(all_46_0_27) = all_899_0_1142
% 28.01/9.36 | (870) op2(all_91_1_77, all_46_0_27) = all_899_2_1144
% 28.01/9.36 | (871) op1(all_368_0_419, all_899_0_1142) = all_899_1_1143
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (778) with all_977_0_1259, all_977_1_1260, all_977_2_1261 yields:
% 28.01/9.36 | (872) j(all_977_2_1261) = all_977_1_1260 & j(all_9_0_5) = all_977_0_1259 & op2(all_52_1_35, all_9_0_5) = all_977_2_1261 & op1(all_405_0_464, all_977_0_1259) = all_977_1_1260
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (872) yields:
% 28.01/9.36 | (873) j(all_977_2_1261) = all_977_1_1260
% 28.01/9.36 | (874) j(all_9_0_5) = all_977_0_1259
% 28.01/9.36 | (875) op2(all_52_1_35, all_9_0_5) = all_977_2_1261
% 28.01/9.36 | (876) op1(all_405_0_464, all_977_0_1259) = all_977_1_1260
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (775) with all_987_0_1274, all_987_1_1275, all_987_2_1276 yields:
% 28.01/9.36 | (877) j(all_987_2_1276) = all_987_1_1275 & j(all_46_0_27) = all_987_0_1274 & op2(all_52_1_35, all_46_0_27) = all_987_2_1276 & op1(all_405_0_464, all_987_0_1274) = all_987_1_1275
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (877) yields:
% 28.01/9.36 | (878) j(all_987_2_1276) = all_987_1_1275
% 28.01/9.36 | (879) j(all_46_0_27) = all_987_0_1274
% 28.01/9.36 | (880) op2(all_52_1_35, all_46_0_27) = all_987_2_1276
% 28.01/9.36 | (881) op1(all_405_0_464, all_987_0_1274) = all_987_1_1275
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (777) with all_991_0_1280, all_991_1_1281, all_991_2_1282 yields:
% 28.01/9.36 | (882) j(all_991_2_1282) = all_991_1_1281 & j(all_25_1_15) = all_991_0_1280 & op2(all_52_1_35, all_25_1_15) = all_991_2_1282 & op1(all_405_0_464, all_991_0_1280) = all_991_1_1281
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (882) yields:
% 28.01/9.36 | (883) j(all_991_2_1282) = all_991_1_1281
% 28.01/9.36 | (884) j(all_25_1_15) = all_991_0_1280
% 28.01/9.36 | (885) op2(all_52_1_35, all_25_1_15) = all_991_2_1282
% 28.01/9.36 | (886) op1(all_405_0_464, all_991_0_1280) = all_991_1_1281
% 28.01/9.36 |
% 28.01/9.36 | Instantiating (776) with all_993_0_1283, all_993_1_1284, all_993_2_1285 yields:
% 28.01/9.36 | (887) j(all_993_2_1285) = all_993_1_1284 & j(all_27_1_18) = all_993_0_1283 & op2(all_52_1_35, all_27_1_18) = all_993_2_1285 & op1(all_405_0_464, all_993_0_1283) = all_993_1_1284
% 28.01/9.36 |
% 28.01/9.36 | Applying alpha-rule on (887) yields:
% 28.01/9.36 | (888) j(all_993_2_1285) = all_993_1_1284
% 28.01/9.36 | (889) j(all_27_1_18) = all_993_0_1283
% 28.01/9.36 | (890) op2(all_52_1_35, all_27_1_18) = all_993_2_1285
% 28.01/9.36 | (891) op1(all_405_0_464, all_993_0_1283) = all_993_1_1284
% 28.01/9.36 |
% 28.01/9.37 | Instantiating (785) with all_1113_0_1463, all_1113_1_1464, all_1113_2_1465 yields:
% 28.01/9.37 | (892) j(all_1113_2_1465) = all_1113_1_1464 & j(all_9_0_5) = all_1113_0_1463 & op2(all_64_0_45, all_9_0_5) = all_1113_2_1465 & op1(all_483_0_567, all_1113_0_1463) = all_1113_1_1464
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (892) yields:
% 28.01/9.37 | (893) j(all_1113_2_1465) = all_1113_1_1464
% 28.01/9.37 | (894) j(all_9_0_5) = all_1113_0_1463
% 28.01/9.37 | (895) op2(all_64_0_45, all_9_0_5) = all_1113_2_1465
% 28.01/9.37 | (896) op1(all_483_0_567, all_1113_0_1463) = all_1113_1_1464
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (782) with all_1123_0_1478, all_1123_1_1479, all_1123_2_1480 yields:
% 28.01/9.37 | (897) j(all_1123_2_1480) = all_1123_1_1479 & j(all_46_0_27) = all_1123_0_1478 & op2(all_64_0_45, all_46_0_27) = all_1123_2_1480 & op1(all_483_0_567, all_1123_0_1478) = all_1123_1_1479
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (897) yields:
% 28.01/9.37 | (898) j(all_1123_2_1480) = all_1123_1_1479
% 28.01/9.37 | (899) j(all_46_0_27) = all_1123_0_1478
% 28.01/9.37 | (900) op2(all_64_0_45, all_46_0_27) = all_1123_2_1480
% 28.01/9.37 | (901) op1(all_483_0_567, all_1123_0_1478) = all_1123_1_1479
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (784) with all_1127_0_1484, all_1127_1_1485, all_1127_2_1486 yields:
% 28.01/9.37 | (902) j(all_1127_2_1486) = all_1127_1_1485 & j(all_25_1_15) = all_1127_0_1484 & op2(all_64_0_45, all_25_1_15) = all_1127_2_1486 & op1(all_483_0_567, all_1127_0_1484) = all_1127_1_1485
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (902) yields:
% 28.01/9.37 | (903) j(all_1127_2_1486) = all_1127_1_1485
% 28.01/9.37 | (904) j(all_25_1_15) = all_1127_0_1484
% 28.01/9.37 | (905) op2(all_64_0_45, all_25_1_15) = all_1127_2_1486
% 28.01/9.37 | (906) op1(all_483_0_567, all_1127_0_1484) = all_1127_1_1485
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (783) with all_1129_0_1487, all_1129_1_1488, all_1129_2_1489 yields:
% 28.01/9.37 | (907) j(all_1129_2_1489) = all_1129_1_1488 & j(all_27_1_18) = all_1129_0_1487 & op2(all_64_0_45, all_27_1_18) = all_1129_2_1489 & op1(all_483_0_567, all_1129_0_1487) = all_1129_1_1488
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (907) yields:
% 28.01/9.37 | (908) j(all_1129_2_1489) = all_1129_1_1488
% 28.01/9.37 | (909) j(all_27_1_18) = all_1129_0_1487
% 28.01/9.37 | (910) op2(all_64_0_45, all_27_1_18) = all_1129_2_1489
% 28.01/9.37 | (911) op1(all_483_0_567, all_1129_0_1487) = all_1129_1_1488
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (792) with all_1181_0_1565, all_1181_1_1566, all_1181_2_1567 yields:
% 28.01/9.37 | (912) j(all_1181_2_1567) = all_1181_1_1566 & j(all_9_0_5) = all_1181_0_1565 & op2(all_83_1_65, all_9_0_5) = all_1181_2_1567 & op1(all_581_0_707, all_1181_0_1565) = all_1181_1_1566
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (912) yields:
% 28.01/9.37 | (913) j(all_1181_2_1567) = all_1181_1_1566
% 28.01/9.37 | (914) j(all_9_0_5) = all_1181_0_1565
% 28.01/9.37 | (915) op2(all_83_1_65, all_9_0_5) = all_1181_2_1567
% 28.01/9.37 | (916) op1(all_581_0_707, all_1181_0_1565) = all_1181_1_1566
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (791) with all_1187_0_1574, all_1187_1_1575, all_1187_2_1576 yields:
% 28.01/9.37 | (917) j(all_1187_2_1576) = all_1187_1_1575 & j(all_25_1_15) = all_1187_0_1574 & op2(all_83_1_65, all_25_1_15) = all_1187_2_1576 & op1(all_581_0_707, all_1187_0_1574) = all_1187_1_1575
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (917) yields:
% 28.01/9.37 | (918) j(all_1187_2_1576) = all_1187_1_1575
% 28.01/9.37 | (919) j(all_25_1_15) = all_1187_0_1574
% 28.01/9.37 | (920) op2(all_83_1_65, all_25_1_15) = all_1187_2_1576
% 28.01/9.37 | (921) op1(all_581_0_707, all_1187_0_1574) = all_1187_1_1575
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (790) with all_1189_0_1577, all_1189_1_1578, all_1189_2_1579 yields:
% 28.01/9.37 | (922) j(all_1189_2_1579) = all_1189_1_1578 & j(all_27_1_18) = all_1189_0_1577 & op2(all_83_1_65, all_27_1_18) = all_1189_2_1579 & op1(all_581_0_707, all_1189_0_1577) = all_1189_1_1578
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (922) yields:
% 28.01/9.37 | (923) j(all_1189_2_1579) = all_1189_1_1578
% 28.01/9.37 | (924) j(all_27_1_18) = all_1189_0_1577
% 28.01/9.37 | (925) op2(all_83_1_65, all_27_1_18) = all_1189_2_1579
% 28.01/9.37 | (926) op1(all_581_0_707, all_1189_0_1577) = all_1189_1_1578
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (789) with all_1211_0_1610, all_1211_1_1611, all_1211_2_1612 yields:
% 28.01/9.37 | (927) j(all_1211_2_1612) = all_1211_1_1611 & j(all_46_0_27) = all_1211_0_1610 & op2(all_83_1_65, all_46_0_27) = all_1211_2_1612 & op1(all_581_0_707, all_1211_0_1610) = all_1211_1_1611
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (927) yields:
% 28.01/9.37 | (928) j(all_1211_2_1612) = all_1211_1_1611
% 28.01/9.37 | (929) j(all_46_0_27) = all_1211_0_1610
% 28.01/9.37 | (930) op2(all_83_1_65, all_46_0_27) = all_1211_2_1612
% 28.01/9.37 | (931) op1(all_581_0_707, all_1211_0_1610) = all_1211_1_1611
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (799) with all_1215_0_1616, all_1215_1_1617, all_1215_2_1618 yields:
% 28.01/9.37 | (932) j(all_1215_2_1618) = all_1215_1_1617 & j(all_9_0_5) = all_1215_0_1616 & op2(all_54_1_38, all_9_0_5) = all_1215_2_1618 & op1(all_588_0_714, all_1215_0_1616) = all_1215_1_1617
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (932) yields:
% 28.01/9.37 | (933) j(all_1215_2_1618) = all_1215_1_1617
% 28.01/9.37 | (934) j(all_9_0_5) = all_1215_0_1616
% 28.01/9.37 | (935) op2(all_54_1_38, all_9_0_5) = all_1215_2_1618
% 28.01/9.37 | (936) op1(all_588_0_714, all_1215_0_1616) = all_1215_1_1617
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (796) with all_1223_0_1628, all_1223_1_1629, all_1223_2_1630 yields:
% 28.01/9.37 | (937) j(all_1223_2_1630) = all_1223_1_1629 & j(all_46_0_27) = all_1223_0_1628 & op2(all_54_1_38, all_46_0_27) = all_1223_2_1630 & op1(all_588_0_714, all_1223_0_1628) = all_1223_1_1629
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (937) yields:
% 28.01/9.37 | (938) j(all_1223_2_1630) = all_1223_1_1629
% 28.01/9.37 | (939) j(all_46_0_27) = all_1223_0_1628
% 28.01/9.37 | (940) op2(all_54_1_38, all_46_0_27) = all_1223_2_1630
% 28.01/9.37 | (941) op1(all_588_0_714, all_1223_0_1628) = all_1223_1_1629
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (798) with all_1229_0_1637, all_1229_1_1638, all_1229_2_1639 yields:
% 28.01/9.37 | (942) j(all_1229_2_1639) = all_1229_1_1638 & j(all_25_1_15) = all_1229_0_1637 & op2(all_54_1_38, all_25_1_15) = all_1229_2_1639 & op1(all_588_0_714, all_1229_0_1637) = all_1229_1_1638
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (942) yields:
% 28.01/9.37 | (943) j(all_1229_2_1639) = all_1229_1_1638
% 28.01/9.37 | (944) j(all_25_1_15) = all_1229_0_1637
% 28.01/9.37 | (945) op2(all_54_1_38, all_25_1_15) = all_1229_2_1639
% 28.01/9.37 | (946) op1(all_588_0_714, all_1229_0_1637) = all_1229_1_1638
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (797) with all_1231_0_1640, all_1231_1_1641, all_1231_2_1642 yields:
% 28.01/9.37 | (947) j(all_1231_2_1642) = all_1231_1_1641 & j(all_27_1_18) = all_1231_0_1640 & op2(all_54_1_38, all_27_1_18) = all_1231_2_1642 & op1(all_588_0_714, all_1231_0_1640) = all_1231_1_1641
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (947) yields:
% 28.01/9.37 | (948) j(all_1231_2_1642) = all_1231_1_1641
% 28.01/9.37 | (949) j(all_27_1_18) = all_1231_0_1640
% 28.01/9.37 | (950) op2(all_54_1_38, all_27_1_18) = all_1231_2_1642
% 28.01/9.37 | (951) op1(all_588_0_714, all_1231_0_1640) = all_1231_1_1641
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (806) with all_1385_0_1871, all_1385_1_1872, all_1385_2_1873 yields:
% 28.01/9.37 | (952) j(all_1385_2_1873) = all_1385_1_1872 & j(all_9_0_5) = all_1385_0_1871 & op2(all_89_1_74, all_9_0_5) = all_1385_2_1873 & op1(all_665_0_812, all_1385_0_1871) = all_1385_1_1872
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (952) yields:
% 28.01/9.37 | (953) j(all_1385_2_1873) = all_1385_1_1872
% 28.01/9.37 | (954) j(all_9_0_5) = all_1385_0_1871
% 28.01/9.37 | (955) op2(all_89_1_74, all_9_0_5) = all_1385_2_1873
% 28.01/9.37 | (956) op1(all_665_0_812, all_1385_0_1871) = all_1385_1_1872
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (805) with all_1389_0_1877, all_1389_1_1878, all_1389_2_1879 yields:
% 28.01/9.37 | (957) j(all_1389_2_1879) = all_1389_1_1878 & j(all_25_1_15) = all_1389_0_1877 & op2(all_89_1_74, all_25_1_15) = all_1389_2_1879 & op1(all_665_0_812, all_1389_0_1877) = all_1389_1_1878
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (957) yields:
% 28.01/9.37 | (958) j(all_1389_2_1879) = all_1389_1_1878
% 28.01/9.37 | (959) j(all_25_1_15) = all_1389_0_1877
% 28.01/9.37 | (960) op2(all_89_1_74, all_25_1_15) = all_1389_2_1879
% 28.01/9.37 | (961) op1(all_665_0_812, all_1389_0_1877) = all_1389_1_1878
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (804) with all_1391_0_1880, all_1391_1_1881, all_1391_2_1882 yields:
% 28.01/9.37 | (962) j(all_1391_2_1882) = all_1391_1_1881 & j(all_27_1_18) = all_1391_0_1880 & op2(all_89_1_74, all_27_1_18) = all_1391_2_1882 & op1(all_665_0_812, all_1391_0_1880) = all_1391_1_1881
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (962) yields:
% 28.01/9.37 | (963) j(all_1391_2_1882) = all_1391_1_1881
% 28.01/9.37 | (964) j(all_27_1_18) = all_1391_0_1880
% 28.01/9.37 | (965) op2(all_89_1_74, all_27_1_18) = all_1391_2_1882
% 28.01/9.37 | (966) op1(all_665_0_812, all_1391_0_1880) = all_1391_1_1881
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (803) with all_1415_0_1916, all_1415_1_1917, all_1415_2_1918 yields:
% 28.01/9.37 | (967) j(all_1415_2_1918) = all_1415_1_1917 & j(all_46_0_27) = all_1415_0_1916 & op2(all_89_1_74, all_46_0_27) = all_1415_2_1918 & op1(all_665_0_812, all_1415_0_1916) = all_1415_1_1917
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (967) yields:
% 28.01/9.37 | (968) j(all_1415_2_1918) = all_1415_1_1917
% 28.01/9.37 | (969) j(all_46_0_27) = all_1415_0_1916
% 28.01/9.37 | (970) op2(all_89_1_74, all_46_0_27) = all_1415_2_1918
% 28.01/9.37 | (971) op1(all_665_0_812, all_1415_0_1916) = all_1415_1_1917
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (813) with all_1419_0_1922, all_1419_1_1923, all_1419_2_1924 yields:
% 28.01/9.37 | (972) j(all_1419_2_1924) = all_1419_1_1923 & j(all_9_0_5) = all_1419_0_1922 & op2(all_46_0_27, all_9_0_5) = all_1419_2_1924 & op1(all_684_0_837, all_1419_0_1922) = all_1419_1_1923
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (972) yields:
% 28.01/9.37 | (973) j(all_1419_2_1924) = all_1419_1_1923
% 28.01/9.37 | (974) j(all_9_0_5) = all_1419_0_1922
% 28.01/9.37 | (975) op2(all_46_0_27, all_9_0_5) = all_1419_2_1924
% 28.01/9.37 | (976) op1(all_684_0_837, all_1419_0_1922) = all_1419_1_1923
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (812) with all_1423_0_1928, all_1423_1_1929, all_1423_2_1930 yields:
% 28.01/9.37 | (977) j(all_1423_2_1930) = all_1423_1_1929 & j(all_25_1_15) = all_1423_0_1928 & op2(all_46_0_27, all_25_1_15) = all_1423_2_1930 & op1(all_684_0_837, all_1423_0_1928) = all_1423_1_1929
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (977) yields:
% 28.01/9.37 | (978) j(all_1423_2_1930) = all_1423_1_1929
% 28.01/9.37 | (979) j(all_25_1_15) = all_1423_0_1928
% 28.01/9.37 | (980) op2(all_46_0_27, all_25_1_15) = all_1423_2_1930
% 28.01/9.37 | (981) op1(all_684_0_837, all_1423_0_1928) = all_1423_1_1929
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (811) with all_1425_0_1931, all_1425_1_1932, all_1425_2_1933 yields:
% 28.01/9.37 | (982) j(all_1425_2_1933) = all_1425_1_1932 & j(all_27_1_18) = all_1425_0_1931 & op2(all_46_0_27, all_27_1_18) = all_1425_2_1933 & op1(all_684_0_837, all_1425_0_1931) = all_1425_1_1932
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (982) yields:
% 28.01/9.37 | (983) j(all_1425_2_1933) = all_1425_1_1932
% 28.01/9.37 | (984) j(all_27_1_18) = all_1425_0_1931
% 28.01/9.37 | (985) op2(all_46_0_27, all_27_1_18) = all_1425_2_1933
% 28.01/9.37 | (986) op1(all_684_0_837, all_1425_0_1931) = all_1425_1_1932
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (810) with all_1449_0_1967, all_1449_1_1968, all_1449_2_1969 yields:
% 28.01/9.37 | (987) j(all_1449_2_1969) = all_1449_1_1968 & j(all_46_0_27) = all_1449_0_1967 & op2(all_46_0_27, all_46_0_27) = all_1449_2_1969 & op1(all_684_0_837, all_1449_0_1967) = all_1449_1_1968
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (987) yields:
% 28.01/9.37 | (988) j(all_1449_2_1969) = all_1449_1_1968
% 28.01/9.37 | (989) j(all_46_0_27) = all_1449_0_1967
% 28.01/9.37 | (990) op2(all_46_0_27, all_46_0_27) = all_1449_2_1969
% 28.01/9.37 | (991) op1(all_684_0_837, all_1449_0_1967) = all_1449_1_1968
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (830) with all_1453_0_1973, all_1453_1_1974, all_1453_2_1975 yields:
% 28.01/9.37 | (992) j(all_1453_2_1975) = all_1453_1_1974 & j(all_9_0_5) = all_1453_0_1973 & op2(all_41_1_24, all_9_0_5) = all_1453_2_1975 & op1(all_775_0_970, all_1453_0_1973) = all_1453_1_1974
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (992) yields:
% 28.01/9.37 | (993) j(all_1453_2_1975) = all_1453_1_1974
% 28.01/9.37 | (994) j(all_9_0_5) = all_1453_0_1973
% 28.01/9.37 | (995) op2(all_41_1_24, all_9_0_5) = all_1453_2_1975
% 28.01/9.37 | (996) op1(all_775_0_970, all_1453_0_1973) = all_1453_1_1974
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (829) with all_1457_0_1979, all_1457_1_1980, all_1457_2_1981 yields:
% 28.01/9.37 | (997) j(all_1457_2_1981) = all_1457_1_1980 & j(all_25_1_15) = all_1457_0_1979 & op2(all_41_1_24, all_25_1_15) = all_1457_2_1981 & op1(all_775_0_970, all_1457_0_1979) = all_1457_1_1980
% 28.01/9.37 |
% 28.01/9.37 | Applying alpha-rule on (997) yields:
% 28.01/9.37 | (998) j(all_1457_2_1981) = all_1457_1_1980
% 28.01/9.37 | (999) j(all_25_1_15) = all_1457_0_1979
% 28.01/9.37 | (1000) op2(all_41_1_24, all_25_1_15) = all_1457_2_1981
% 28.01/9.37 | (1001) op1(all_775_0_970, all_1457_0_1979) = all_1457_1_1980
% 28.01/9.37 |
% 28.01/9.37 | Instantiating (828) with all_1459_0_1982, all_1459_1_1983, all_1459_2_1984 yields:
% 28.01/9.37 | (1002) j(all_1459_2_1984) = all_1459_1_1983 & j(all_27_1_18) = all_1459_0_1982 & op2(all_41_1_24, all_27_1_18) = all_1459_2_1984 & op1(all_775_0_970, all_1459_0_1982) = all_1459_1_1983
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1002) yields:
% 28.01/9.38 | (1003) j(all_1459_2_1984) = all_1459_1_1983
% 28.01/9.38 | (1004) j(all_27_1_18) = all_1459_0_1982
% 28.01/9.38 | (1005) op2(all_41_1_24, all_27_1_18) = all_1459_2_1984
% 28.01/9.38 | (1006) op1(all_775_0_970, all_1459_0_1982) = all_1459_1_1983
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (827) with all_1483_0_2018, all_1483_1_2019, all_1483_2_2020 yields:
% 28.01/9.38 | (1007) j(all_1483_2_2020) = all_1483_1_2019 & j(all_46_0_27) = all_1483_0_2018 & op2(all_41_1_24, all_46_0_27) = all_1483_2_2020 & op1(all_775_0_970, all_1483_0_2018) = all_1483_1_2019
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1007) yields:
% 28.01/9.38 | (1008) j(all_1483_2_2020) = all_1483_1_2019
% 28.01/9.38 | (1009) j(all_46_0_27) = all_1483_0_2018
% 28.01/9.38 | (1010) op2(all_41_1_24, all_46_0_27) = all_1483_2_2020
% 28.01/9.38 | (1011) op1(all_775_0_970, all_1483_0_2018) = all_1483_1_2019
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (837) with all_1487_0_2024, all_1487_1_2025, all_1487_2_2026 yields:
% 28.01/9.38 | (1012) j(all_1487_2_2026) = all_1487_1_2025 & j(all_9_0_5) = all_1487_0_2024 & op2(all_64_1_46, all_9_0_5) = all_1487_2_2026 & op1(all_822_0_1037, all_1487_0_2024) = all_1487_1_2025
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1012) yields:
% 28.01/9.38 | (1013) j(all_1487_2_2026) = all_1487_1_2025
% 28.01/9.38 | (1014) j(all_9_0_5) = all_1487_0_2024
% 28.01/9.38 | (1015) op2(all_64_1_46, all_9_0_5) = all_1487_2_2026
% 28.01/9.38 | (1016) op1(all_822_0_1037, all_1487_0_2024) = all_1487_1_2025
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (836) with all_1491_0_2030, all_1491_1_2031, all_1491_2_2032 yields:
% 28.01/9.38 | (1017) j(all_1491_2_2032) = all_1491_1_2031 & j(all_25_1_15) = all_1491_0_2030 & op2(all_64_1_46, all_25_1_15) = all_1491_2_2032 & op1(all_822_0_1037, all_1491_0_2030) = all_1491_1_2031
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1017) yields:
% 28.01/9.38 | (1018) j(all_1491_2_2032) = all_1491_1_2031
% 28.01/9.38 | (1019) j(all_25_1_15) = all_1491_0_2030
% 28.01/9.38 | (1020) op2(all_64_1_46, all_25_1_15) = all_1491_2_2032
% 28.01/9.38 | (1021) op1(all_822_0_1037, all_1491_0_2030) = all_1491_1_2031
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (834) with all_1503_0_2048, all_1503_1_2049, all_1503_2_2050 yields:
% 28.01/9.38 | (1022) j(all_1503_2_2050) = all_1503_1_2049 & j(all_46_0_27) = all_1503_0_2048 & op2(all_64_1_46, all_46_0_27) = all_1503_2_2050 & op1(all_822_0_1037, all_1503_0_2048) = all_1503_1_2049
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1022) yields:
% 28.01/9.38 | (1023) j(all_1503_2_2050) = all_1503_1_2049
% 28.01/9.38 | (1024) j(all_46_0_27) = all_1503_0_2048
% 28.01/9.38 | (1025) op2(all_64_1_46, all_46_0_27) = all_1503_2_2050
% 28.01/9.38 | (1026) op1(all_822_0_1037, all_1503_0_2048) = all_1503_1_2049
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (835) with all_1519_0_2072, all_1519_1_2073, all_1519_2_2074 yields:
% 28.01/9.38 | (1027) j(all_1519_2_2074) = all_1519_1_2073 & j(all_27_1_18) = all_1519_0_2072 & op2(all_64_1_46, all_27_1_18) = all_1519_2_2074 & op1(all_822_0_1037, all_1519_0_2072) = all_1519_1_2073
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1027) yields:
% 28.01/9.38 | (1028) j(all_1519_2_2074) = all_1519_1_2073
% 28.01/9.38 | (1029) j(all_27_1_18) = all_1519_0_2072
% 28.01/9.38 | (1030) op2(all_64_1_46, all_27_1_18) = all_1519_2_2074
% 28.01/9.38 | (1031) op1(all_822_0_1037, all_1519_0_2072) = all_1519_1_2073
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (844) with all_1521_0_2075, all_1521_1_2076, all_1521_2_2077 yields:
% 28.01/9.38 | (1032) j(all_1521_2_2077) = all_1521_1_2076 & j(all_9_0_5) = all_1521_0_2075 & op2(all_105_1_98, all_9_0_5) = all_1521_2_2077 & op1(all_845_0_1068, all_1521_0_2075) = all_1521_1_2076
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1032) yields:
% 28.01/9.38 | (1033) j(all_1521_2_2077) = all_1521_1_2076
% 28.01/9.38 | (1034) j(all_9_0_5) = all_1521_0_2075
% 28.01/9.38 | (1035) op2(all_105_1_98, all_9_0_5) = all_1521_2_2077
% 28.01/9.38 | (1036) op1(all_845_0_1068, all_1521_0_2075) = all_1521_1_2076
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (843) with all_1525_0_2081, all_1525_1_2082, all_1525_2_2083 yields:
% 28.01/9.38 | (1037) j(all_1525_2_2083) = all_1525_1_2082 & j(all_25_1_15) = all_1525_0_2081 & op2(all_105_1_98, all_25_1_15) = all_1525_2_2083 & op1(all_845_0_1068, all_1525_0_2081) = all_1525_1_2082
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1037) yields:
% 28.01/9.38 | (1038) j(all_1525_2_2083) = all_1525_1_2082
% 28.01/9.38 | (1039) j(all_25_1_15) = all_1525_0_2081
% 28.01/9.38 | (1040) op2(all_105_1_98, all_25_1_15) = all_1525_2_2083
% 28.01/9.38 | (1041) op1(all_845_0_1068, all_1525_0_2081) = all_1525_1_2082
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (842) with all_1527_0_2084, all_1527_1_2085, all_1527_2_2086 yields:
% 28.01/9.38 | (1042) j(all_1527_2_2086) = all_1527_1_2085 & j(all_27_1_18) = all_1527_0_2084 & op2(all_105_1_98, all_27_1_18) = all_1527_2_2086 & op1(all_845_0_1068, all_1527_0_2084) = all_1527_1_2085
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1042) yields:
% 28.01/9.38 | (1043) j(all_1527_2_2086) = all_1527_1_2085
% 28.01/9.38 | (1044) j(all_27_1_18) = all_1527_0_2084
% 28.01/9.38 | (1045) op2(all_105_1_98, all_27_1_18) = all_1527_2_2086
% 28.01/9.38 | (1046) op1(all_845_0_1068, all_1527_0_2084) = all_1527_1_2085
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (841) with all_1551_0_2120, all_1551_1_2121, all_1551_2_2122 yields:
% 28.01/9.38 | (1047) j(all_1551_2_2122) = all_1551_1_2121 & j(all_46_0_27) = all_1551_0_2120 & op2(all_105_1_98, all_46_0_27) = all_1551_2_2122 & op1(all_845_0_1068, all_1551_0_2120) = all_1551_1_2121
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1047) yields:
% 28.01/9.38 | (1048) j(all_1551_2_2122) = all_1551_1_2121
% 28.01/9.38 | (1049) j(all_46_0_27) = all_1551_0_2120
% 28.01/9.38 | (1050) op2(all_105_1_98, all_46_0_27) = all_1551_2_2122
% 28.01/9.38 | (1051) op1(all_845_0_1068, all_1551_0_2120) = all_1551_1_2121
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (851) with all_1555_0_2126, all_1555_1_2127, all_1555_2_2128 yields:
% 28.01/9.38 | (1052) j(all_1555_2_2128) = all_1555_1_2127 & j(all_9_0_5) = all_1555_0_2126 & op2(all_103_1_95, all_9_0_5) = all_1555_2_2128 & op1(all_858_0_1084, all_1555_0_2126) = all_1555_1_2127
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1052) yields:
% 28.01/9.38 | (1053) j(all_1555_2_2128) = all_1555_1_2127
% 28.01/9.38 | (1054) j(all_9_0_5) = all_1555_0_2126
% 28.01/9.38 | (1055) op2(all_103_1_95, all_9_0_5) = all_1555_2_2128
% 28.01/9.38 | (1056) op1(all_858_0_1084, all_1555_0_2126) = all_1555_1_2127
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (850) with all_1561_0_2135, all_1561_1_2136, all_1561_2_2137 yields:
% 28.01/9.38 | (1057) j(all_1561_2_2137) = all_1561_1_2136 & j(all_25_1_15) = all_1561_0_2135 & op2(all_103_1_95, all_25_1_15) = all_1561_2_2137 & op1(all_858_0_1084, all_1561_0_2135) = all_1561_1_2136
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1057) yields:
% 28.01/9.38 | (1058) j(all_1561_2_2137) = all_1561_1_2136
% 28.01/9.38 | (1059) j(all_25_1_15) = all_1561_0_2135
% 28.01/9.38 | (1060) op2(all_103_1_95, all_25_1_15) = all_1561_2_2137
% 28.01/9.38 | (1061) op1(all_858_0_1084, all_1561_0_2135) = all_1561_1_2136
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (848) with all_1573_0_2153, all_1573_1_2154, all_1573_2_2155 yields:
% 28.01/9.38 | (1062) j(all_1573_2_2155) = all_1573_1_2154 & j(all_46_0_27) = all_1573_0_2153 & op2(all_103_1_95, all_46_0_27) = all_1573_2_2155 & op1(all_858_0_1084, all_1573_0_2153) = all_1573_1_2154
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1062) yields:
% 28.01/9.38 | (1063) j(all_1573_2_2155) = all_1573_1_2154
% 28.01/9.38 | (1064) j(all_46_0_27) = all_1573_0_2153
% 28.01/9.38 | (1065) op2(all_103_1_95, all_46_0_27) = all_1573_2_2155
% 28.01/9.38 | (1066) op1(all_858_0_1084, all_1573_0_2153) = all_1573_1_2154
% 28.01/9.38 |
% 28.01/9.38 | Instantiating (849) with all_1587_0_2174, all_1587_1_2175, all_1587_2_2176 yields:
% 28.01/9.38 | (1067) j(all_1587_2_2176) = all_1587_1_2175 & j(all_27_1_18) = all_1587_0_2174 & op2(all_103_1_95, all_27_1_18) = all_1587_2_2176 & op1(all_858_0_1084, all_1587_0_2174) = all_1587_1_2175
% 28.01/9.38 |
% 28.01/9.38 | Applying alpha-rule on (1067) yields:
% 28.01/9.38 | (1068) j(all_1587_2_2176) = all_1587_1_2175
% 28.01/9.38 | (1069) j(all_27_1_18) = all_1587_0_2174
% 28.01/9.38 | (1070) op2(all_103_1_95, all_27_1_18) = all_1587_2_2176
% 28.01/9.38 | (1071) op1(all_858_0_1084, all_1587_0_2174) = all_1587_1_2175
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1551_0_2120, all_0_0_0 and discharging atoms j(all_46_0_27) = all_1551_0_2120, j(all_46_0_27) = all_0_0_0, yields:
% 28.01/9.38 | (1072) all_1551_0_2120 = all_0_0_0
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1551_0_2120, all_1573_0_2153 and discharging atoms j(all_46_0_27) = all_1573_0_2153, j(all_46_0_27) = all_1551_0_2120, yields:
% 28.01/9.38 | (1073) all_1573_0_2153 = all_1551_0_2120
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1483_0_2018, all_1573_0_2153 and discharging atoms j(all_46_0_27) = all_1573_0_2153, j(all_46_0_27) = all_1483_0_2018, yields:
% 28.01/9.38 | (1074) all_1573_0_2153 = all_1483_0_2018
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1415_0_1916, all_1449_0_1967 and discharging atoms j(all_46_0_27) = all_1449_0_1967, j(all_46_0_27) = all_1415_0_1916, yields:
% 28.01/9.38 | (1075) all_1449_0_1967 = all_1415_0_1916
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1223_0_1628, all_1503_0_2048 and discharging atoms j(all_46_0_27) = all_1503_0_2048, j(all_46_0_27) = all_1223_0_1628, yields:
% 28.01/9.38 | (1076) all_1503_0_2048 = all_1223_0_1628
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1211_0_1610, all_1449_0_1967 and discharging atoms j(all_46_0_27) = all_1449_0_1967, j(all_46_0_27) = all_1211_0_1610, yields:
% 28.01/9.38 | (1077) all_1449_0_1967 = all_1211_0_1610
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1123_0_1478, all_1503_0_2048 and discharging atoms j(all_46_0_27) = all_1503_0_2048, j(all_46_0_27) = all_1123_0_1478, yields:
% 28.01/9.38 | (1078) all_1503_0_2048 = all_1123_0_1478
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_1123_0_1478, all_1415_0_1916 and discharging atoms j(all_46_0_27) = all_1415_0_1916, j(all_46_0_27) = all_1123_0_1478, yields:
% 28.01/9.38 | (1079) all_1415_0_1916 = all_1123_0_1478
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_987_0_1274, all_1415_0_1916 and discharging atoms j(all_46_0_27) = all_1415_0_1916, j(all_46_0_27) = all_987_0_1274, yields:
% 28.01/9.38 | (1080) all_1415_0_1916 = all_987_0_1274
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_899_0_1142, all_1123_0_1478 and discharging atoms j(all_46_0_27) = all_1123_0_1478, j(all_46_0_27) = all_899_0_1142, yields:
% 28.01/9.38 | (1081) all_1123_0_1478 = all_899_0_1142
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_723_0_892, all_1551_0_2120 and discharging atoms j(all_46_0_27) = all_1551_0_2120, j(all_46_0_27) = all_723_0_892, yields:
% 28.01/9.38 | (1082) all_1551_0_2120 = all_723_0_892
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_723_0_892, all_899_0_1142 and discharging atoms j(all_46_0_27) = all_899_0_1142, j(all_46_0_27) = all_723_0_892, yields:
% 28.01/9.38 | (1083) all_899_0_1142 = all_723_0_892
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_705_0_865, all_1503_0_2048 and discharging atoms j(all_46_0_27) = all_1503_0_2048, j(all_46_0_27) = all_705_0_865, yields:
% 28.01/9.38 | (1084) all_1503_0_2048 = all_705_0_865
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_684_0_837, all_723_0_892 and discharging atoms j(all_46_0_27) = all_723_0_892, j(all_46_0_27) = all_684_0_837, yields:
% 28.01/9.38 | (1085) all_723_0_892 = all_684_0_837
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_360_0_407, all_684_0_837 and discharging atoms j(all_46_0_27) = all_684_0_837, j(all_46_0_27) = all_360_0_407, yields:
% 28.01/9.38 | (1086) all_684_0_837 = all_360_0_407
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_360_0_407, all_362_0_410 and discharging atoms j(all_46_0_27) = all_362_0_410, j(all_46_0_27) = all_360_0_407, yields:
% 28.01/9.38 | (1087) all_362_0_410 = all_360_0_407
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_358_0_404, all_362_0_410 and discharging atoms j(all_46_0_27) = all_362_0_410, j(all_46_0_27) = all_358_0_404, yields:
% 28.01/9.38 | (1088) all_362_0_410 = all_358_0_404
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_46_0_27, all_356_0_401, all_362_0_410 and discharging atoms j(all_46_0_27) = all_362_0_410, j(all_46_0_27) = all_356_0_401, yields:
% 28.01/9.38 | (1089) all_362_0_410 = all_356_0_401
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1519_0_2072, all_0_2_2 and discharging atoms j(all_27_1_18) = all_1519_0_2072, j(all_27_1_18) = all_0_2_2, yields:
% 28.01/9.38 | (1090) all_1519_0_2072 = all_0_2_2
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1519_0_2072, all_1527_0_2084 and discharging atoms j(all_27_1_18) = all_1527_0_2084, j(all_27_1_18) = all_1519_0_2072, yields:
% 28.01/9.38 | (1091) all_1527_0_2084 = all_1519_0_2072
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1459_0_1982, all_1527_0_2084 and discharging atoms j(all_27_1_18) = all_1527_0_2084, j(all_27_1_18) = all_1459_0_1982, yields:
% 28.01/9.38 | (1092) all_1527_0_2084 = all_1459_0_1982
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1425_0_1931, all_1519_0_2072 and discharging atoms j(all_27_1_18) = all_1519_0_2072, j(all_27_1_18) = all_1425_0_1931, yields:
% 28.01/9.38 | (1093) all_1519_0_2072 = all_1425_0_1931
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1391_0_1880, all_1519_0_2072 and discharging atoms j(all_27_1_18) = all_1519_0_2072, j(all_27_1_18) = all_1391_0_1880, yields:
% 28.01/9.38 | (1094) all_1519_0_2072 = all_1391_0_1880
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1231_0_1640, all_1391_0_1880 and discharging atoms j(all_27_1_18) = all_1391_0_1880, j(all_27_1_18) = all_1231_0_1640, yields:
% 28.01/9.38 | (1095) all_1391_0_1880 = all_1231_0_1640
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1189_0_1577, all_1231_0_1640 and discharging atoms j(all_27_1_18) = all_1231_0_1640, j(all_27_1_18) = all_1189_0_1577, yields:
% 28.01/9.38 | (1096) all_1231_0_1640 = all_1189_0_1577
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_1129_0_1487, all_1189_0_1577 and discharging atoms j(all_27_1_18) = all_1189_0_1577, j(all_27_1_18) = all_1129_0_1487, yields:
% 28.01/9.38 | (1097) all_1189_0_1577 = all_1129_0_1487
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_993_0_1283, all_1587_0_2174 and discharging atoms j(all_27_1_18) = all_1587_0_2174, j(all_27_1_18) = all_993_0_1283, yields:
% 28.01/9.38 | (1098) all_1587_0_2174 = all_993_0_1283
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_993_0_1283, all_1129_0_1487 and discharging atoms j(all_27_1_18) = all_1129_0_1487, j(all_27_1_18) = all_993_0_1283, yields:
% 28.01/9.38 | (1099) all_1129_0_1487 = all_993_0_1283
% 28.01/9.38 |
% 28.01/9.38 | Instantiating formula (11) with all_27_1_18, all_881_0_1115, all_1587_0_2174 and discharging atoms j(all_27_1_18) = all_1587_0_2174, j(all_27_1_18) = all_881_0_1115, yields:
% 28.01/9.39 | (1100) all_1587_0_2174 = all_881_0_1115
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1525_0_2081, all_1561_0_2135 and discharging atoms j(all_25_1_15) = all_1561_0_2135, j(all_25_1_15) = all_1525_0_2081, yields:
% 28.01/9.39 | (1101) all_1561_0_2135 = all_1525_0_2081
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1491_0_2030, all_1525_0_2081 and discharging atoms j(all_25_1_15) = all_1525_0_2081, j(all_25_1_15) = all_1491_0_2030, yields:
% 28.01/9.39 | (1102) all_1525_0_2081 = all_1491_0_2030
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1457_0_1979, all_1491_0_2030 and discharging atoms j(all_25_1_15) = all_1491_0_2030, j(all_25_1_15) = all_1457_0_1979, yields:
% 28.01/9.39 | (1103) all_1491_0_2030 = all_1457_0_1979
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1423_0_1928, all_1457_0_1979 and discharging atoms j(all_25_1_15) = all_1457_0_1979, j(all_25_1_15) = all_1423_0_1928, yields:
% 28.01/9.39 | (1104) all_1457_0_1979 = all_1423_0_1928
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1389_0_1877, all_1423_0_1928 and discharging atoms j(all_25_1_15) = all_1423_0_1928, j(all_25_1_15) = all_1389_0_1877, yields:
% 28.01/9.39 | (1105) all_1423_0_1928 = all_1389_0_1877
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1229_0_1637, all_1389_0_1877 and discharging atoms j(all_25_1_15) = all_1389_0_1877, j(all_25_1_15) = all_1229_0_1637, yields:
% 28.01/9.39 | (1106) all_1389_0_1877 = all_1229_0_1637
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1187_0_1574, all_1229_0_1637 and discharging atoms j(all_25_1_15) = all_1229_0_1637, j(all_25_1_15) = all_1187_0_1574, yields:
% 28.01/9.39 | (1107) all_1229_0_1637 = all_1187_0_1574
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_1127_0_1484, all_1187_0_1574 and discharging atoms j(all_25_1_15) = all_1187_0_1574, j(all_25_1_15) = all_1127_0_1484, yields:
% 28.01/9.39 | (1108) all_1187_0_1574 = all_1127_0_1484
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_991_0_1280, all_0_1_1 and discharging atoms j(all_25_1_15) = all_991_0_1280, j(all_25_1_15) = all_0_1_1, yields:
% 28.01/9.39 | (1109) all_991_0_1280 = all_0_1_1
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_991_0_1280, all_1127_0_1484 and discharging atoms j(all_25_1_15) = all_1127_0_1484, j(all_25_1_15) = all_991_0_1280, yields:
% 28.01/9.39 | (1110) all_1127_0_1484 = all_991_0_1280
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_25_1_15, all_879_0_1112, all_1561_0_2135 and discharging atoms j(all_25_1_15) = all_1561_0_2135, j(all_25_1_15) = all_879_0_1112, yields:
% 28.01/9.39 | (1111) all_1561_0_2135 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1521_0_2075, all_1555_0_2126 and discharging atoms j(all_9_0_5) = all_1555_0_2126, j(all_9_0_5) = all_1521_0_2075, yields:
% 28.01/9.39 | (1112) all_1555_0_2126 = all_1521_0_2075
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1487_0_2024, all_1521_0_2075 and discharging atoms j(all_9_0_5) = all_1521_0_2075, j(all_9_0_5) = all_1487_0_2024, yields:
% 28.01/9.39 | (1113) all_1521_0_2075 = all_1487_0_2024
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1453_0_1973, all_1487_0_2024 and discharging atoms j(all_9_0_5) = all_1487_0_2024, j(all_9_0_5) = all_1453_0_1973, yields:
% 28.01/9.39 | (1114) all_1487_0_2024 = all_1453_0_1973
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1419_0_1922, all_1453_0_1973 and discharging atoms j(all_9_0_5) = all_1453_0_1973, j(all_9_0_5) = all_1419_0_1922, yields:
% 28.01/9.39 | (1115) all_1453_0_1973 = all_1419_0_1922
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1385_0_1871, all_1419_0_1922 and discharging atoms j(all_9_0_5) = all_1419_0_1922, j(all_9_0_5) = all_1385_0_1871, yields:
% 28.01/9.39 | (1116) all_1419_0_1922 = all_1385_0_1871
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1215_0_1616, all_1385_0_1871 and discharging atoms j(all_9_0_5) = all_1385_0_1871, j(all_9_0_5) = all_1215_0_1616, yields:
% 28.01/9.39 | (1117) all_1385_0_1871 = all_1215_0_1616
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1181_0_1565, all_1215_0_1616 and discharging atoms j(all_9_0_5) = all_1215_0_1616, j(all_9_0_5) = all_1181_0_1565, yields:
% 28.01/9.39 | (1118) all_1215_0_1616 = all_1181_0_1565
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1113_0_1463, all_0_3_3 and discharging atoms j(all_9_0_5) = all_1113_0_1463, j(all_9_0_5) = all_0_3_3, yields:
% 28.01/9.39 | (1119) all_1113_0_1463 = all_0_3_3
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_1113_0_1463, all_1181_0_1565 and discharging atoms j(all_9_0_5) = all_1181_0_1565, j(all_9_0_5) = all_1113_0_1463, yields:
% 28.01/9.39 | (1120) all_1181_0_1565 = all_1113_0_1463
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_977_0_1259, all_1555_0_2126 and discharging atoms j(all_9_0_5) = all_1555_0_2126, j(all_9_0_5) = all_977_0_1259, yields:
% 28.01/9.39 | (1121) all_1555_0_2126 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Instantiating formula (11) with all_9_0_5, all_875_0_1106, all_1113_0_1463 and discharging atoms j(all_9_0_5) = all_1113_0_1463, j(all_9_0_5) = all_875_0_1106, yields:
% 28.01/9.39 | (1122) all_1113_0_1463 = all_875_0_1106
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1098,1100) yields a new equation:
% 28.01/9.39 | (1123) all_993_0_1283 = all_881_0_1115
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1123 yields:
% 28.01/9.39 | (1124) all_993_0_1283 = all_881_0_1115
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1073,1074) yields a new equation:
% 28.01/9.39 | (1125) all_1551_0_2120 = all_1483_0_2018
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1125 yields:
% 28.01/9.39 | (1126) all_1551_0_2120 = all_1483_0_2018
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1101,1111) yields a new equation:
% 28.01/9.39 | (1127) all_1525_0_2081 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1127 yields:
% 28.01/9.39 | (1128) all_1525_0_2081 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1112,1121) yields a new equation:
% 28.01/9.39 | (1129) all_1521_0_2075 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1129 yields:
% 28.01/9.39 | (1130) all_1521_0_2075 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1072,1126) yields a new equation:
% 28.01/9.39 | (1131) all_1483_0_2018 = all_0_0_0
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1082,1126) yields a new equation:
% 28.01/9.39 | (1132) all_1483_0_2018 = all_723_0_892
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1091,1092) yields a new equation:
% 28.01/9.39 | (1133) all_1519_0_2072 = all_1459_0_1982
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1133 yields:
% 28.01/9.39 | (1134) all_1519_0_2072 = all_1459_0_1982
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1102,1128) yields a new equation:
% 28.01/9.39 | (1135) all_1491_0_2030 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1135 yields:
% 28.01/9.39 | (1136) all_1491_0_2030 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1113,1130) yields a new equation:
% 28.01/9.39 | (1137) all_1487_0_2024 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1137 yields:
% 28.01/9.39 | (1138) all_1487_0_2024 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1090,1134) yields a new equation:
% 28.01/9.39 | (1139) all_1459_0_1982 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1094,1134) yields a new equation:
% 28.01/9.39 | (1140) all_1459_0_1982 = all_1391_0_1880
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1093,1134) yields a new equation:
% 28.01/9.39 | (1141) all_1459_0_1982 = all_1425_0_1931
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1078,1076) yields a new equation:
% 28.01/9.39 | (1142) all_1223_0_1628 = all_1123_0_1478
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1084,1076) yields a new equation:
% 28.01/9.39 | (1143) all_1223_0_1628 = all_705_0_865
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1103,1136) yields a new equation:
% 28.01/9.39 | (1144) all_1457_0_1979 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1144 yields:
% 28.01/9.39 | (1145) all_1457_0_1979 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1114,1138) yields a new equation:
% 28.01/9.39 | (1146) all_1453_0_1973 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1146 yields:
% 28.01/9.39 | (1147) all_1453_0_1973 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1132,1131) yields a new equation:
% 28.01/9.39 | (1148) all_723_0_892 = all_0_0_0
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1148 yields:
% 28.01/9.39 | (1149) all_723_0_892 = all_0_0_0
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1139,1141) yields a new equation:
% 28.01/9.39 | (1150) all_1425_0_1931 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1140,1141) yields a new equation:
% 28.01/9.39 | (1151) all_1425_0_1931 = all_1391_0_1880
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1104,1145) yields a new equation:
% 28.01/9.39 | (1152) all_1423_0_1928 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1152 yields:
% 28.01/9.39 | (1153) all_1423_0_1928 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1115,1147) yields a new equation:
% 28.01/9.39 | (1154) all_1419_0_1922 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1154 yields:
% 28.01/9.39 | (1155) all_1419_0_1922 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1075,1077) yields a new equation:
% 28.01/9.39 | (1156) all_1415_0_1916 = all_1211_0_1610
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1156 yields:
% 28.01/9.39 | (1157) all_1415_0_1916 = all_1211_0_1610
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1151,1150) yields a new equation:
% 28.01/9.39 | (1158) all_1391_0_1880 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1158 yields:
% 28.01/9.39 | (1159) all_1391_0_1880 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1105,1153) yields a new equation:
% 28.01/9.39 | (1160) all_1389_0_1877 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1160 yields:
% 28.01/9.39 | (1161) all_1389_0_1877 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1116,1155) yields a new equation:
% 28.01/9.39 | (1162) all_1385_0_1871 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1162 yields:
% 28.01/9.39 | (1163) all_1385_0_1871 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1080,1157) yields a new equation:
% 28.01/9.39 | (1164) all_1211_0_1610 = all_987_0_1274
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1079,1157) yields a new equation:
% 28.01/9.39 | (1165) all_1211_0_1610 = all_1123_0_1478
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1095,1159) yields a new equation:
% 28.01/9.39 | (1166) all_1231_0_1640 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1166 yields:
% 28.01/9.39 | (1167) all_1231_0_1640 = all_0_2_2
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1106,1161) yields a new equation:
% 28.01/9.39 | (1168) all_1229_0_1637 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1168 yields:
% 28.01/9.39 | (1169) all_1229_0_1637 = all_879_0_1112
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1117,1163) yields a new equation:
% 28.01/9.39 | (1170) all_1215_0_1616 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Simplifying 1170 yields:
% 28.01/9.39 | (1171) all_1215_0_1616 = all_977_0_1259
% 28.01/9.39 |
% 28.01/9.39 | Combining equations (1096,1167) yields a new equation:
% 28.01/9.39 | (1172) all_1189_0_1577 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1172 yields:
% 28.38/9.39 | (1173) all_1189_0_1577 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1107,1169) yields a new equation:
% 28.38/9.39 | (1174) all_1187_0_1574 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1174 yields:
% 28.38/9.39 | (1175) all_1187_0_1574 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1142,1143) yields a new equation:
% 28.38/9.39 | (1176) all_1123_0_1478 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1176 yields:
% 28.38/9.39 | (1177) all_1123_0_1478 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1118,1171) yields a new equation:
% 28.38/9.39 | (1178) all_1181_0_1565 = all_977_0_1259
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1178 yields:
% 28.38/9.39 | (1179) all_1181_0_1565 = all_977_0_1259
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1165,1164) yields a new equation:
% 28.38/9.39 | (1180) all_1123_0_1478 = all_987_0_1274
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1180 yields:
% 28.38/9.39 | (1181) all_1123_0_1478 = all_987_0_1274
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1097,1173) yields a new equation:
% 28.38/9.39 | (1182) all_1129_0_1487 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1182 yields:
% 28.38/9.39 | (1183) all_1129_0_1487 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1108,1175) yields a new equation:
% 28.38/9.39 | (1184) all_1127_0_1484 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1184 yields:
% 28.38/9.39 | (1185) all_1127_0_1484 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1120,1179) yields a new equation:
% 28.38/9.39 | (1186) all_1113_0_1463 = all_977_0_1259
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1186 yields:
% 28.38/9.39 | (1187) all_1113_0_1463 = all_977_0_1259
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1099,1183) yields a new equation:
% 28.38/9.39 | (1188) all_993_0_1283 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1188 yields:
% 28.38/9.39 | (1189) all_993_0_1283 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1110,1185) yields a new equation:
% 28.38/9.39 | (1190) all_991_0_1280 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1190 yields:
% 28.38/9.39 | (1191) all_991_0_1280 = all_879_0_1112
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1177,1181) yields a new equation:
% 28.38/9.39 | (1192) all_987_0_1274 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1081,1181) yields a new equation:
% 28.38/9.39 | (1193) all_987_0_1274 = all_899_0_1142
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1122,1187) yields a new equation:
% 28.38/9.39 | (1194) all_977_0_1259 = all_875_0_1106
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1119,1187) yields a new equation:
% 28.38/9.39 | (1195) all_977_0_1259 = all_0_3_3
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1124,1189) yields a new equation:
% 28.38/9.39 | (1196) all_881_0_1115 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1196 yields:
% 28.38/9.39 | (1197) all_881_0_1115 = all_0_2_2
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1109,1191) yields a new equation:
% 28.38/9.39 | (1198) all_879_0_1112 = all_0_1_1
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1193,1192) yields a new equation:
% 28.38/9.39 | (1199) all_899_0_1142 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1199 yields:
% 28.38/9.39 | (1200) all_899_0_1142 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1194,1195) yields a new equation:
% 28.38/9.39 | (1201) all_875_0_1106 = all_0_3_3
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1201 yields:
% 28.38/9.39 | (1202) all_875_0_1106 = all_0_3_3
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1083,1200) yields a new equation:
% 28.38/9.39 | (1203) all_723_0_892 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1203 yields:
% 28.38/9.39 | (1204) all_723_0_892 = all_705_0_865
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1149,1204) yields a new equation:
% 28.38/9.39 | (1205) all_705_0_865 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1085,1204) yields a new equation:
% 28.38/9.39 | (1206) all_705_0_865 = all_684_0_837
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1206,1205) yields a new equation:
% 28.38/9.39 | (1207) all_684_0_837 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1207 yields:
% 28.38/9.39 | (1208) all_684_0_837 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1086,1208) yields a new equation:
% 28.38/9.39 | (1209) all_360_0_407 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1209 yields:
% 28.38/9.39 | (1210) all_360_0_407 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1087,1088) yields a new equation:
% 28.38/9.39 | (1211) all_360_0_407 = all_358_0_404
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1211 yields:
% 28.38/9.39 | (1212) all_360_0_407 = all_358_0_404
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1089,1088) yields a new equation:
% 28.38/9.39 | (1213) all_358_0_404 = all_356_0_401
% 28.38/9.39 |
% 28.38/9.39 | Combining equations (1212,1210) yields a new equation:
% 28.38/9.39 | (1214) all_358_0_404 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.39 | Simplifying 1214 yields:
% 28.38/9.39 | (1215) all_358_0_404 = all_0_0_0
% 28.38/9.39 |
% 28.38/9.40 | Combining equations (1213,1215) yields a new equation:
% 28.38/9.40 | (1216) all_356_0_401 = all_0_0_0
% 28.38/9.40 |
% 28.38/9.40 | Simplifying 1216 yields:
% 28.38/9.40 | (1217) all_356_0_401 = all_0_0_0
% 28.38/9.40 |
% 28.38/9.40 | From (1217) and (747) follows:
% 28.38/9.40 | (727) j(all_46_0_27) = all_0_0_0
% 28.38/9.40 |
% 28.38/9.40 | From (1197) and (864) follows:
% 28.38/9.40 | (400) j(all_27_1_18) = all_0_2_2
% 28.38/9.40 |
% 28.38/9.40 | From (1198) and (859) follows:
% 28.38/9.40 | (401) j(all_25_1_15) = all_0_1_1
% 28.38/9.40 |
% 28.38/9.40 | From (1202) and (854) follows:
% 28.38/9.40 | (102) j(all_9_0_5) = all_0_3_3
% 28.38/9.40 |
% 28.38/9.40 +-Applying beta-rule and splitting (407), into two cases.
% 28.38/9.40 |-Branch one:
% 28.38/9.40 | (1222) all_46_0_27 = all_9_0_5
% 28.38/9.40 |
% 28.38/9.40 | From (1222) and (727) follows:
% 28.38/9.40 | (1223) j(all_9_0_5) = all_0_0_0
% 28.38/9.40 |
% 28.38/9.40 | Instantiating formula (11) with all_9_0_5, all_0_0_0, all_0_3_3 and discharging atoms j(all_9_0_5) = all_0_0_0, j(all_9_0_5) = all_0_3_3, yields:
% 28.38/9.40 | (1224) all_0_0_0 = all_0_3_3
% 28.38/9.40 |
% 28.38/9.40 | Equations (1224) can reduce 2 to:
% 28.38/9.40 | (1225) $false
% 28.38/9.40 |
% 28.38/9.40 |-The branch is then unsatisfiable
% 28.38/9.40 |-Branch two:
% 28.38/9.40 | (1226) ~ (all_46_0_27 = all_9_0_5)
% 28.38/9.40 | (1227) ? [v0] : ? [v1] : (op2(all_25_1_15, all_9_0_5) = v1 & op2(all_9_0_5, all_11_0_6) = v0 & ( ~ (v1 = all_11_0_6) | v0 = all_25_1_15))
% 28.38/9.40 |
% 28.38/9.40 +-Applying beta-rule and splitting (457), into two cases.
% 28.38/9.40 |-Branch one:
% 28.38/9.40 | (1228) all_136_0_119 = all_9_0_5
% 28.38/9.40 |
% 28.38/9.40 | Combining equations (1228,658) yields a new equation:
% 28.38/9.40 | (1222) all_46_0_27 = all_9_0_5
% 28.38/9.40 |
% 28.38/9.40 | Equations (1222) can reduce 1226 to:
% 28.38/9.40 | (1225) $false
% 28.38/9.40 |
% 28.38/9.40 |-The branch is then unsatisfiable
% 28.38/9.40 |-Branch two:
% 28.38/9.40 | (1231) ~ (all_136_0_119 = all_9_0_5)
% 28.38/9.40 | (1232) all_136_1_120 = all_25_1_15
% 28.38/9.40 |
% 28.38/9.40 | Combining equations (1232,661) yields a new equation:
% 28.38/9.40 | (1233) all_27_1_18 = all_25_1_15
% 28.38/9.40 |
% 28.38/9.40 | From (1233) and (400) follows:
% 28.38/9.40 | (1234) j(all_25_1_15) = all_0_2_2
% 28.38/9.40 |
% 28.38/9.40 | Instantiating formula (11) with all_25_1_15, all_0_2_2, all_0_1_1 and discharging atoms j(all_25_1_15) = all_0_1_1, j(all_25_1_15) = all_0_2_2, yields:
% 28.38/9.40 | (1235) all_0_1_1 = all_0_2_2
% 28.38/9.40 |
% 28.38/9.40 | Equations (1235) can reduce 24 to:
% 28.38/9.40 | (1225) $false
% 28.38/9.40 |
% 28.38/9.40 |-The branch is then unsatisfiable
% 28.38/9.40 % SZS output end Proof for theBenchmark
% 28.38/9.40
% 28.38/9.40 8812ms
%------------------------------------------------------------------------------