TSTP Solution File: KRS102+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n024.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 : Sun Jul 17 02:56:34 EDT 2022
% Result : Unsatisfiable 5.51s 1.94s
% Output : Proof 9.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.13 % Problem : KRS102+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.35 % Computer : n024.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 7 18:41:19 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.56/0.61 ____ _
% 0.56/0.61 ___ / __ \_____(_)___ ________ __________
% 0.56/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.61
% 0.56/0.61 A Theorem Prover for First-Order Logic
% 0.56/0.61 (ePrincess v.1.0)
% 0.56/0.61
% 0.56/0.61 (c) Philipp Rümmer, 2009-2015
% 0.56/0.61 (c) Peter Backeman, 2014-2015
% 0.56/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.61 Bug reports to peter@backeman.se
% 0.56/0.61
% 0.56/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.61
% 0.56/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.81/1.03 Prover 0: Preprocessing ...
% 2.52/1.23 Prover 0: Warning: ignoring some quantifiers
% 2.52/1.25 Prover 0: Constructing countermodel ...
% 5.51/1.93 Prover 0: proved (1274ms)
% 5.51/1.94
% 5.51/1.94 No countermodel exists, formula is valid
% 5.51/1.94 % SZS status Unsatisfiable for theBenchmark
% 5.51/1.94
% 5.51/1.94 Generating proof ... Warning: ignoring some quantifiers
% 8.22/2.58 found it (size 1024)
% 8.22/2.58
% 8.22/2.58 % SZS output start Proof for theBenchmark
% 8.22/2.58 Assumed formulas after preprocessing and simplification:
% 8.22/2.58 | (0) ~ (iF = iT) & cowlThing(iplus9) & cowlThing(iminus9) & cowlThing(iplus6) & cowlThing(iminus6) & cowlThing(iminus8) & cowlThing(iplus8) & cowlThing(iF) & cowlThing(iT) & cowlThing(iminus3) & cowlThing(iplus3) & cowlThing(iminus5) & cowlThing(iplus5) & cowlThing(iminus7) & cowlThing(iplus7) & cowlThing(iminus2) & cowlThing(iplus2) & cowlThing(iplus4) & cowlThing(iminus4) & cowlThing(iminus1) & cowlThing(iplus1) & cTorF(iplus9) & cTorF(iminus9) & cTorF(iplus6) & cTorF(iminus6) & cTorF(iminus8) & cTorF(iplus8) & cTorF(iF) & cTorF(iT) & cTorF(iminus3) & cTorF(iplus3) & cTorF(iminus5) & cTorF(iplus5) & cTorF(iminus7) & cTorF(iplus7) & cTorF(iminus2) & cTorF(iplus2) & cTorF(iplus4) & cTorF(iminus4) & cTorF(iminus1) & cTorF(iplus1) & ! [v0] : (v0 = iplus9 | v0 = iminus9 | ~ cTorF(v0)) & ! [v0] : (v0 = iplus6 | v0 = iminus6 | ~ cTorF(v0)) & ! [v0] : (v0 = iminus8 | v0 = iplus8 | ~ cTorF(v0)) & ! [v0] : (v0 = iF | v0 = iT | ~ cTorF(v0)) & ! [v0] : (v0 = iminus3 | v0 = iplus3 | ~ cTorF(v0)) & ! [v0] : (v0 = iminus5 | v0 = iplus5 | ~ cTorF(v0)) & ! [v0] : (v0 = iminus7 | v0 = iplus7 | ~ cTorF(v0)) & ! [v0] : (v0 = iminus2 | v0 = iplus2 | ~ cTorF(v0)) & ! [v0] : (v0 = iplus4 | v0 = iminus4 | ~ cTorF(v0)) & ! [v0] : (v0 = iminus1 | v0 = iplus1 | ~ cTorF(v0)) & ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (xsd_string(v0) | xsd_integer(v0)) & ? [v0] : cowlThing(v0) & (iplus9 = iT | iplus6 = iT | iT = iminus2) & (iplus9 = iT | iminus6 = iT | iT = iminus7) & (iplus9 = iT | iminus6 = iT | iT = iplus1) & (iplus9 = iT | iminus8 = iT | iT = iplus3) & (iplus9 = iT | iminus8 = iT | iT = iminus4) & (iplus9 = iT | iT = iplus3 | iT = iplus4) & (iplus9 = iT | iT = iplus5 | iT = iminus7) & (iplus9 = iT | iT = iplus5 | iT = iplus2) & (iplus9 = iT | iT = iplus5 | iT = iminus4) & (iplus9 = iT | iT = iplus7 | iT = iminus4) & (iplus9 = iT | iT = iminus4 | iT = iplus1) & (iminus9 = iT | iminus6 = iT | iT = iplus1) & (iminus9 = iT | iminus8 = iT | iT = iminus4) & (iminus9 = iT | iT = iplus3 | iT = iminus5) & (iminus9 = iT | iT = iplus3 | iT = iminus2) & (iminus9 = iT | iT = iplus3 | iT = iplus4) & (iminus9 = iT | iT = iminus5 | iT = iminus2) & (iminus9 = iT | iT = iplus7 | iT = iminus2) & (iplus6 = iT | iminus8 = iT | iT = iminus7) & (iplus6 = iT | iminus8 = iT | iT = iplus4) & (iplus6 = iT | iplus8 = iT | iT = iminus4) & (iplus6 = iT | iT = iminus3 | iT = iminus4) & (iplus6 = iT | iT = iplus3 | iT = iplus4) & (iplus6 = iT | iT = iplus3 | iT = iminus4) & (iplus6 = iT | iT = iminus5 | iT = iplus4) & (iplus6 = iT | iT = iminus7 | iT = iminus2) & (iplus6 = iT | iT = iminus4 | iT = iminus1) & (iminus6 = iT | iT = iminus2 | iT = iplus4) & (iminus6 = iT | iT = iplus2 | iT = iplus1) & (iminus6 = iT | iT = iminus4 | iT = iplus1) & (iminus8 = iT | iT = iminus3 | iT = iminus5) & (iminus8 = iT | iT = iminus3 | iT = iplus5) & (iminus8 = iT | iT = iplus3 | iT = iminus2) & (iplus8 = iT | iT = iminus3 | iT = iplus7) & (iplus8 = iT | iT = iminus3 | iT = iplus2) & (iplus8 = iT | iT = iplus3 | iT = iminus7) & (iplus8 = iT | iT = iminus5 | iT = iplus7) & (iplus8 = iT | iT = iplus2 | iT = iminus4) & (iT = iminus3 | iT = iminus7 | iT = iminus4) & (iT = iminus3 | iT = iminus2 | iT = iplus1) & (iT = iplus3 | iT = iplus4 | iT = iplus1) & (iT = iminus5 | iT = iminus7 | iT = iplus2) & (iT = iplus7 | iT = iplus4 | iT = iplus1) & (iT = iplus2 | iT = iplus4 | iT = iminus1) & (iT = iplus2 | iT = iminus4 | iT = iplus1)
% 8.22/2.60 | Applying alpha-rule on (0) yields:
% 8.22/2.60 | (1) ! [v0] : (v0 = iplus9 | v0 = iminus9 | ~ cTorF(v0))
% 8.22/2.60 | (2) cTorF(iF)
% 8.22/2.60 | (3) iminus6 = iT | iT = iplus2 | iT = iplus1
% 8.22/2.60 | (4) cowlThing(iplus2)
% 8.22/2.60 | (5) ! [v0] : (v0 = iminus5 | v0 = iplus5 | ~ cTorF(v0))
% 8.22/2.60 | (6) cowlThing(iminus2)
% 8.22/2.60 | (7) ! [v0] : (v0 = iminus8 | v0 = iplus8 | ~ cTorF(v0))
% 8.22/2.60 | (8) ! [v0] : (v0 = iminus3 | v0 = iplus3 | ~ cTorF(v0))
% 8.22/2.60 | (9) cowlThing(iplus7)
% 8.22/2.60 | (10) cowlThing(iplus3)
% 8.22/2.60 | (11) cTorF(iminus3)
% 8.22/2.60 | (12) cTorF(iplus8)
% 8.22/2.60 | (13) iplus6 = iT | iT = iplus3 | iT = iplus4
% 8.22/2.60 | (14) iplus9 = iT | iT = iplus5 | iT = iplus2
% 8.22/2.60 | (15) cTorF(iminus7)
% 8.22/2.60 | (16) iplus6 = iT | iT = iminus5 | iT = iplus4
% 8.22/2.60 | (17) cowlThing(iminus5)
% 8.22/2.60 | (18) ! [v0] : (v0 = iminus7 | v0 = iplus7 | ~ cTorF(v0))
% 8.22/2.60 | (19) iplus6 = iT | iplus8 = iT | iT = iminus4
% 8.22/2.60 | (20) cowlThing(iminus4)
% 8.22/2.60 | (21) cowlThing(iminus1)
% 8.22/2.60 | (22) cowlThing(iplus8)
% 8.22/2.61 | (23) iplus9 = iT | iT = iplus3 | iT = iplus4
% 8.22/2.61 | (24) iplus6 = iT | iT = iminus3 | iT = iminus4
% 8.22/2.61 | (25) iplus8 = iT | iT = iplus3 | iT = iminus7
% 8.22/2.61 | (26) iplus8 = iT | iT = iminus5 | iT = iplus7
% 8.22/2.61 | (27) iplus6 = iT | iT = iminus7 | iT = iminus2
% 8.22/2.61 | (28) iplus8 = iT | iT = iminus3 | iT = iplus2
% 8.22/2.61 | (29) cowlThing(iminus3)
% 8.22/2.61 | (30) ? [v0] : cowlThing(v0)
% 8.22/2.61 | (31) cTorF(iminus6)
% 8.22/2.61 | (32) iminus9 = iT | iT = iplus7 | iT = iminus2
% 8.22/2.61 | (33) cowlThing(iF)
% 8.22/2.61 | (34) ! [v0] : (v0 = iplus6 | v0 = iminus6 | ~ cTorF(v0))
% 8.22/2.61 | (35) cTorF(iplus7)
% 8.22/2.61 | (36) cTorF(iminus1)
% 8.22/2.61 | (37) iT = iminus5 | iT = iminus7 | iT = iplus2
% 8.22/2.61 | (38) cTorF(iplus3)
% 8.22/2.61 | (39) iplus9 = iT | iT = iminus4 | iT = iplus1
% 8.67/2.61 | (40) iplus6 = iT | iminus8 = iT | iT = iplus4
% 8.67/2.61 | (41) iminus6 = iT | iT = iminus4 | iT = iplus1
% 8.67/2.61 | (42) cTorF(iT)
% 8.67/2.61 | (43) cowlThing(iplus1)
% 8.67/2.61 | (44) iT = iplus2 | iT = iminus4 | iT = iplus1
% 8.67/2.61 | (45) cowlThing(iplus6)
% 8.67/2.61 | (46) cTorF(iminus8)
% 8.67/2.61 | (47) iplus9 = iT | iplus6 = iT | iT = iminus2
% 8.67/2.61 | (48) cowlThing(iminus7)
% 8.67/2.61 | (49) cTorF(iplus9)
% 8.67/2.61 | (50) cTorF(iplus1)
% 8.67/2.61 | (51) cowlThing(iplus4)
% 8.67/2.61 | (52) iT = iplus2 | iT = iplus4 | iT = iminus1
% 8.67/2.61 | (53) iminus6 = iT | iT = iminus2 | iT = iplus4
% 8.67/2.61 | (54) iminus8 = iT | iT = iplus3 | iT = iminus2
% 8.67/2.61 | (55) ~ (iF = iT)
% 8.67/2.61 | (56) iminus9 = iT | iT = iplus3 | iT = iplus4
% 8.67/2.61 | (57) ! [v0] : ~ cowlNothing(v0)
% 8.67/2.61 | (58) cTorF(iminus9)
% 8.67/2.61 | (59) cTorF(iplus6)
% 8.67/2.61 | (60) iplus9 = iT | iminus6 = iT | iT = iminus7
% 8.67/2.61 | (61) iminus8 = iT | iT = iminus3 | iT = iminus5
% 8.67/2.61 | (62) cowlThing(iplus5)
% 8.67/2.61 | (63) iplus9 = iT | iminus6 = iT | iT = iplus1
% 8.67/2.61 | (64) cTorF(iplus2)
% 8.67/2.61 | (65) ! [v0] : ( ~ xsd_string(v0) | ~ xsd_integer(v0))
% 8.67/2.61 | (66) iplus8 = iT | iT = iplus2 | iT = iminus4
% 8.67/2.61 | (67) iminus8 = iT | iT = iminus3 | iT = iplus5
% 8.67/2.61 | (68) iplus9 = iT | iT = iplus5 | iT = iminus7
% 8.67/2.61 | (69) cowlThing(iminus6)
% 8.67/2.61 | (70) ! [v0] : (v0 = iminus1 | v0 = iplus1 | ~ cTorF(v0))
% 8.67/2.61 | (71) cTorF(iminus4)
% 8.67/2.61 | (72) iplus6 = iT | iT = iminus4 | iT = iminus1
% 8.67/2.61 | (73) cTorF(iplus4)
% 8.67/2.61 | (74) ! [v0] : (v0 = iF | v0 = iT | ~ cTorF(v0))
% 8.67/2.61 | (75) cowlThing(iminus8)
% 8.67/2.61 | (76) iT = iminus3 | iT = iminus7 | iT = iminus4
% 8.67/2.61 | (77) iminus9 = iT | iT = iplus3 | iT = iminus2
% 8.67/2.61 | (78) iT = iplus7 | iT = iplus4 | iT = iplus1
% 8.67/2.61 | (79) cowlThing(iplus9)
% 8.67/2.61 | (80) iplus9 = iT | iT = iplus7 | iT = iminus4
% 8.67/2.61 | (81) cowlThing(iminus9)
% 8.67/2.61 | (82) ! [v0] : (v0 = iplus4 | v0 = iminus4 | ~ cTorF(v0))
% 8.67/2.61 | (83) ! [v0] : (v0 = iminus2 | v0 = iplus2 | ~ cTorF(v0))
% 8.67/2.61 | (84) ? [v0] : (xsd_string(v0) | xsd_integer(v0))
% 8.67/2.61 | (85) cTorF(iminus2)
% 8.67/2.61 | (86) iplus9 = iT | iT = iplus5 | iT = iminus4
% 8.67/2.61 | (87) cowlThing(iT)
% 8.67/2.61 | (88) iplus6 = iT | iminus8 = iT | iT = iminus7
% 8.67/2.61 | (89) iplus9 = iT | iminus8 = iT | iT = iminus4
% 8.67/2.61 | (90) cTorF(iplus5)
% 8.67/2.61 | (91) iplus9 = iT | iminus8 = iT | iT = iplus3
% 8.67/2.61 | (92) iplus6 = iT | iT = iplus3 | iT = iminus4
% 8.67/2.61 | (93) iminus9 = iT | iminus8 = iT | iT = iminus4
% 8.67/2.61 | (94) iminus9 = iT | iT = iminus5 | iT = iminus2
% 8.67/2.61 | (95) iT = iminus3 | iT = iminus2 | iT = iplus1
% 8.67/2.61 | (96) iminus9 = iT | iT = iplus3 | iT = iminus5
% 8.67/2.62 | (97) cTorF(iminus5)
% 8.67/2.62 | (98) iT = iplus3 | iT = iplus4 | iT = iplus1
% 8.67/2.62 | (99) iminus9 = iT | iminus6 = iT | iT = iplus1
% 8.67/2.62 | (100) iplus8 = iT | iT = iminus3 | iT = iplus7
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (34) with iplus9 and discharging atoms cTorF(iplus9), yields:
% 8.67/2.62 | (101) iplus9 = iplus6 | iplus9 = iminus6
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (74) with iplus9 and discharging atoms cTorF(iplus9), yields:
% 8.67/2.62 | (102) iplus9 = iF | iplus9 = iT
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (82) with iplus9 and discharging atoms cTorF(iplus9), yields:
% 8.67/2.62 | (103) iplus9 = iplus4 | iplus9 = iminus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (70) with iplus9 and discharging atoms cTorF(iplus9), yields:
% 8.67/2.62 | (104) iplus9 = iminus1 | iplus9 = iplus1
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (7) with iminus9 and discharging atoms cTorF(iminus9), yields:
% 8.67/2.62 | (105) iminus9 = iminus8 | iminus9 = iplus8
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (8) with iminus9 and discharging atoms cTorF(iminus9), yields:
% 8.67/2.62 | (106) iminus9 = iminus3 | iminus9 = iplus3
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iminus9 and discharging atoms cTorF(iminus9), yields:
% 8.67/2.62 | (107) iminus9 = iminus2 | iminus9 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (82) with iminus9 and discharging atoms cTorF(iminus9), yields:
% 8.67/2.62 | (108) iminus9 = iplus4 | iminus9 = iminus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iplus6 and discharging atoms cTorF(iplus6), yields:
% 8.67/2.62 | (109) iplus6 = iminus2 | iplus6 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (82) with iplus6 and discharging atoms cTorF(iplus6), yields:
% 8.67/2.62 | (110) iplus6 = iplus4 | iplus6 = iminus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (8) with iminus6 and discharging atoms cTorF(iminus6), yields:
% 8.67/2.62 | (111) iminus6 = iminus3 | iminus6 = iplus3
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (5) with iminus6 and discharging atoms cTorF(iminus6), yields:
% 8.67/2.62 | (112) iminus6 = iminus5 | iminus6 = iplus5
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iminus6 and discharging atoms cTorF(iminus6), yields:
% 8.67/2.62 | (113) iminus6 = iminus2 | iminus6 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (70) with iminus6 and discharging atoms cTorF(iminus6), yields:
% 8.67/2.62 | (114) iminus6 = iminus1 | iminus6 = iplus1
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (34) with iminus8 and discharging atoms cTorF(iminus8), yields:
% 8.67/2.62 | (115) iplus6 = iminus8 | iminus6 = iminus8
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (74) with iminus8 and discharging atoms cTorF(iminus8), yields:
% 8.67/2.62 | (116) iminus8 = iF | iminus8 = iT
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (70) with iminus8 and discharging atoms cTorF(iminus8), yields:
% 8.67/2.62 | (117) iminus8 = iminus1 | iminus8 = iplus1
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (1) with iplus8 and discharging atoms cTorF(iplus8), yields:
% 8.67/2.62 | (118) iplus9 = iplus8 | iminus9 = iplus8
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (18) with iplus8 and discharging atoms cTorF(iplus8), yields:
% 8.67/2.62 | (119) iplus8 = iminus7 | iplus8 = iplus7
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iplus8 and discharging atoms cTorF(iplus8), yields:
% 8.67/2.62 | (120) iplus8 = iminus2 | iplus8 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (1) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (121) iplus9 = iF | iminus9 = iF
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (34) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (122) iplus6 = iF | iminus6 = iF
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (7) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (123) iminus8 = iF | iplus8 = iF
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (8) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (124) iF = iminus3 | iF = iplus3
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (5) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (125) iF = iminus5 | iF = iplus5
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (18) with iF and discharging atoms cTorF(iF), yields:
% 8.67/2.62 | (126) iF = iminus7 | iF = iplus7
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (1) with iT and discharging atoms cTorF(iT), yields:
% 8.67/2.62 | (127) iplus9 = iT | iminus9 = iT
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (34) with iT and discharging atoms cTorF(iT), yields:
% 8.67/2.62 | (128) iplus6 = iT | iminus6 = iT
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (7) with iT and discharging atoms cTorF(iT), yields:
% 8.67/2.62 | (129) iminus8 = iT | iplus8 = iT
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (8) with iT and discharging atoms cTorF(iT), yields:
% 8.67/2.62 | (130) iT = iminus3 | iT = iplus3
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iT and discharging atoms cTorF(iT), yields:
% 8.67/2.62 | (131) iT = iminus2 | iT = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (74) with iminus3 and discharging atoms cTorF(iminus3), yields:
% 8.67/2.62 | (132) iF = iminus3 | iT = iminus3
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (18) with iminus3 and discharging atoms cTorF(iminus3), yields:
% 8.67/2.62 | (133) iminus3 = iminus7 | iminus3 = iplus7
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iplus5 and discharging atoms cTorF(iplus5), yields:
% 8.67/2.62 | (134) iplus5 = iminus2 | iplus5 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (82) with iminus7 and discharging atoms cTorF(iminus7), yields:
% 8.67/2.62 | (135) iminus7 = iplus4 | iminus7 = iminus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (83) with iplus7 and discharging atoms cTorF(iplus7), yields:
% 8.67/2.62 | (136) iplus7 = iminus2 | iplus7 = iplus2
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (82) with iplus2 and discharging atoms cTorF(iplus2), yields:
% 8.67/2.62 | (137) iplus2 = iplus4 | iplus2 = iminus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (8) with iplus4 and discharging atoms cTorF(iplus4), yields:
% 8.67/2.62 | (138) iminus3 = iplus4 | iplus3 = iplus4
% 8.67/2.62 |
% 8.67/2.62 | Instantiating formula (5) with iplus4 and discharging atoms cTorF(iplus4), yields:
% 8.67/2.63 | (139) iminus5 = iplus4 | iplus5 = iplus4
% 8.67/2.63 |
% 8.67/2.63 | Instantiating formula (18) with iminus1 and discharging atoms cTorF(iminus1), yields:
% 8.67/2.63 | (140) iminus7 = iminus1 | iplus7 = iminus1
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (23), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (141) iplus9 = iT
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (121), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (142) iplus9 = iF
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (142,141) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (146) ~ (iplus9 = iF)
% 8.67/2.63 | (147) iminus9 = iF
% 8.67/2.63 |
% 8.67/2.63 | Equations (141) can reduce 146 to:
% 8.67/2.63 | (148) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 148 yields:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (32), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (155) iT = iplus7 | iT = iminus2
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (93), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (162) iminus8 = iT | iT = iminus4
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (94), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (169) iT = iminus5 | iT = iminus2
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (99), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (176) iminus6 = iT | iT = iplus1
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (56), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (183) iT = iplus3 | iT = iplus4
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.63 +-Applying beta-rule and splitting (96), into two cases.
% 8.67/2.63 |-Branch one:
% 8.67/2.63 | (150) iminus9 = iT
% 8.67/2.63 |
% 8.67/2.63 | Combining equations (147,150) yields a new equation:
% 8.67/2.63 | (143) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Simplifying 143 yields:
% 8.67/2.63 | (144) iF = iT
% 8.67/2.63 |
% 8.67/2.63 | Equations (144) can reduce 55 to:
% 8.67/2.63 | (145) $false
% 8.67/2.63 |
% 8.67/2.63 |-The branch is then unsatisfiable
% 8.67/2.63 |-Branch two:
% 8.67/2.63 | (154) ~ (iminus9 = iT)
% 8.67/2.63 | (190) iT = iplus3 | iT = iminus5
% 8.67/2.63 |
% 8.67/2.63 | Equations (147) can reduce 154 to:
% 8.67/2.63 | (55) ~ (iF = iT)
% 8.67/2.63 |
% 8.67/2.64 +-Applying beta-rule and splitting (77), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (150) iminus9 = iT
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (147,150) yields a new equation:
% 8.67/2.64 | (143) iF = iT
% 8.67/2.64 |
% 8.67/2.64 | Simplifying 143 yields:
% 8.67/2.64 | (144) iF = iT
% 8.67/2.64 |
% 8.67/2.64 | Equations (144) can reduce 55 to:
% 8.67/2.64 | (145) $false
% 8.67/2.64 |
% 8.67/2.64 |-The branch is then unsatisfiable
% 8.67/2.64 |-Branch two:
% 8.67/2.64 | (154) ~ (iminus9 = iT)
% 8.67/2.64 | (197) iT = iplus3 | iT = iminus2
% 8.67/2.64 |
% 8.67/2.64 | Equations (147) can reduce 154 to:
% 8.67/2.64 | (55) ~ (iF = iT)
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (19), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (199) iplus6 = iT
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (122), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (200) iplus6 = iF
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (200,199) yields a new equation:
% 8.67/2.64 | (143) iF = iT
% 8.67/2.64 |
% 8.67/2.64 | Simplifying 143 yields:
% 8.67/2.64 | (144) iF = iT
% 8.67/2.64 |
% 8.67/2.64 | Equations (144) can reduce 55 to:
% 8.67/2.64 | (145) $false
% 8.67/2.64 |
% 8.67/2.64 |-The branch is then unsatisfiable
% 8.67/2.64 |-Branch two:
% 8.67/2.64 | (204) ~ (iplus6 = iF)
% 8.67/2.64 | (205) iminus6 = iF
% 8.67/2.64 |
% 8.67/2.64 | Equations (199) can reduce 204 to:
% 8.67/2.64 | (148) ~ (iF = iT)
% 8.67/2.64 |
% 8.67/2.64 | Simplifying 148 yields:
% 8.67/2.64 | (55) ~ (iF = iT)
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (176), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (208) iminus6 = iT
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (208,205) yields a new equation:
% 8.67/2.64 | (144) iF = iT
% 8.67/2.64 |
% 8.67/2.64 | Equations (144) can reduce 55 to:
% 8.67/2.64 | (145) $false
% 8.67/2.64 |
% 8.67/2.64 |-The branch is then unsatisfiable
% 8.67/2.64 |-Branch two:
% 8.67/2.64 | (211) ~ (iminus6 = iT)
% 8.67/2.64 | (212) iT = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (212,141) yields a new equation:
% 8.67/2.64 | (213) iplus9 = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Equations (212) can reduce 55 to:
% 8.67/2.64 | (214) ~ (iF = iplus1)
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (114), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (215) iminus6 = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (215,205) yields a new equation:
% 8.67/2.64 | (216) iF = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Equations (216) can reduce 214 to:
% 8.67/2.64 | (145) $false
% 8.67/2.64 |
% 8.67/2.64 |-The branch is then unsatisfiable
% 8.67/2.64 |-Branch two:
% 8.67/2.64 | (218) ~ (iminus6 = iplus1)
% 8.67/2.64 | (219) iminus6 = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (219,205) yields a new equation:
% 8.67/2.64 | (220) iF = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (220,205) yields a new equation:
% 8.67/2.64 | (219) iminus6 = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (220,147) yields a new equation:
% 8.67/2.64 | (222) iminus9 = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Equations (220) can reduce 214 to:
% 8.67/2.64 | (223) ~ (iminus1 = iplus1)
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (52), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (224) iT = iplus2
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (224,212) yields a new equation:
% 8.67/2.64 | (225) iplus2 = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Simplifying 225 yields:
% 8.67/2.64 | (226) iplus2 = iplus1
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (113), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (227) iminus6 = iminus2
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (219,227) yields a new equation:
% 8.67/2.64 | (228) iminus2 = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (228,227) yields a new equation:
% 8.67/2.64 | (219) iminus6 = iminus1
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (155), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (230) iT = iplus7
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (212,230) yields a new equation:
% 8.67/2.64 | (231) iplus7 = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (231,230) yields a new equation:
% 8.67/2.64 | (212) iT = iplus1
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (53), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (208) iminus6 = iT
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (208,219) yields a new equation:
% 8.67/2.64 | (234) iT = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Simplifying 234 yields:
% 8.67/2.64 | (235) iT = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (212,235) yields a new equation:
% 8.67/2.64 | (236) iminus1 = iplus1
% 8.67/2.64 |
% 8.67/2.64 | Equations (236) can reduce 223 to:
% 8.67/2.64 | (145) $false
% 8.67/2.64 |
% 8.67/2.64 |-The branch is then unsatisfiable
% 8.67/2.64 |-Branch two:
% 8.67/2.64 | (211) ~ (iminus6 = iT)
% 8.67/2.64 | (239) iT = iminus2 | iT = iplus4
% 8.67/2.64 |
% 8.67/2.64 | Equations (219,212) can reduce 211 to:
% 8.67/2.64 | (223) ~ (iminus1 = iplus1)
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (126), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (241) iF = iminus7
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (220,241) yields a new equation:
% 8.67/2.64 | (242) iminus7 = iminus1
% 8.67/2.64 |
% 8.67/2.64 | Combining equations (242,241) yields a new equation:
% 8.67/2.64 | (220) iF = iminus1
% 8.67/2.64 |
% 8.67/2.64 +-Applying beta-rule and splitting (197), into two cases.
% 8.67/2.64 |-Branch one:
% 8.67/2.64 | (244) iT = iplus3
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,244) yields a new equation:
% 8.67/2.65 | (245) iplus3 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (245,244) yields a new equation:
% 8.67/2.65 | (212) iT = iplus1
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (111), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (247) iminus6 = iplus3
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (247,219) yields a new equation:
% 8.67/2.65 | (248) iplus3 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 248 yields:
% 8.67/2.65 | (249) iplus3 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (245,249) yields a new equation:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (252) ~ (iminus6 = iplus3)
% 8.67/2.65 | (253) iminus6 = iminus3
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (253,219) yields a new equation:
% 8.67/2.65 | (254) iminus3 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 254 yields:
% 8.67/2.65 | (255) iminus3 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (219,245) can reduce 252 to:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (169), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (257) iT = iminus5
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,257) yields a new equation:
% 8.67/2.65 | (258) iminus5 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (258,257) yields a new equation:
% 8.67/2.65 | (212) iT = iplus1
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (112), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (260) iminus6 = iminus5
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (260,219) yields a new equation:
% 8.67/2.65 | (261) iminus5 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 261 yields:
% 8.67/2.65 | (262) iminus5 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (262,258) yields a new equation:
% 8.67/2.65 | (263) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 263 yields:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (266) ~ (iminus6 = iminus5)
% 8.67/2.65 | (267) iminus6 = iplus5
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (267,219) yields a new equation:
% 8.67/2.65 | (268) iplus5 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 268 yields:
% 8.67/2.65 | (269) iplus5 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (219,258) can reduce 266 to:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (67), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (271) iminus8 = iT
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,271) yields a new equation:
% 8.67/2.65 | (272) iminus8 = iplus1
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (123), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (273) iminus8 = iF
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (272,273) yields a new equation:
% 8.67/2.65 | (216) iF = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (216,220) yields a new equation:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (277) ~ (iminus8 = iF)
% 8.67/2.65 | (278) iplus8 = iF
% 8.67/2.65 |
% 8.67/2.65 | Equations (272,220) can reduce 277 to:
% 8.67/2.65 | (279) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 279 yields:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (76), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (281) iT = iminus3
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,281) yields a new equation:
% 8.67/2.65 | (282) iminus3 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (282,255) yields a new equation:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (285) ~ (iT = iminus3)
% 8.67/2.65 | (286) iT = iminus7 | iT = iminus4
% 8.67/2.65 |
% 8.67/2.65 | Equations (212,255) can reduce 285 to:
% 8.67/2.65 | (279) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 279 yields:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (286), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (289) iT = iminus7
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,289) yields a new equation:
% 8.67/2.65 | (290) iminus7 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (242,290) yields a new equation:
% 8.67/2.65 | (263) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 263 yields:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (294) ~ (iT = iminus7)
% 8.67/2.65 | (295) iT = iminus4
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (212,295) yields a new equation:
% 8.67/2.65 | (296) iminus4 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (296,295) yields a new equation:
% 8.67/2.65 | (212) iT = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (212,242) can reduce 294 to:
% 8.67/2.65 | (279) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 279 yields:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (135), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (300) iminus7 = iminus4
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (242,300) yields a new equation:
% 8.67/2.65 | (301) iminus4 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (301,296) yields a new equation:
% 8.67/2.65 | (263) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 263 yields:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (305) ~ (iminus7 = iminus4)
% 8.67/2.65 | (306) iminus7 = iplus4
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (242,306) yields a new equation:
% 8.67/2.65 | (307) iplus4 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (307,306) yields a new equation:
% 8.67/2.65 | (242) iminus7 = iminus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (242,296) can reduce 305 to:
% 8.67/2.65 | (223) ~ (iminus1 = iplus1)
% 8.67/2.65 |
% 8.67/2.65 +-Applying beta-rule and splitting (239), into two cases.
% 8.67/2.65 |-Branch one:
% 8.67/2.65 | (310) iT = iminus2
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (310,212) yields a new equation:
% 8.67/2.65 | (311) iminus2 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 311 yields:
% 8.67/2.65 | (312) iminus2 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (312,228) yields a new equation:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.65 | (315) ~ (iT = iminus2)
% 8.67/2.65 | (316) iT = iplus4
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (316,212) yields a new equation:
% 8.67/2.65 | (317) iplus4 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 317 yields:
% 8.67/2.65 | (318) iplus4 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Combining equations (307,318) yields a new equation:
% 8.67/2.65 | (263) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Simplifying 263 yields:
% 8.67/2.65 | (236) iminus1 = iplus1
% 8.67/2.65 |
% 8.67/2.65 | Equations (236) can reduce 223 to:
% 8.67/2.65 | (145) $false
% 8.67/2.65 |
% 8.67/2.65 |-The branch is then unsatisfiable
% 8.67/2.65 |-Branch two:
% 8.67/2.66 | (322) ~ (iminus8 = iT)
% 8.67/2.66 | (323) iT = iminus3 | iT = iplus5
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (323), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (281) iT = iminus3
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (281,212) yields a new equation:
% 8.67/2.66 | (325) iminus3 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 325 yields:
% 8.67/2.66 | (282) iminus3 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (282,255) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (285) ~ (iT = iminus3)
% 8.67/2.66 | (330) iT = iplus5
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (330,212) yields a new equation:
% 8.67/2.66 | (331) iplus5 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 331 yields:
% 8.67/2.66 | (332) iplus5 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (269,332) yields a new equation:
% 8.67/2.66 | (263) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 263 yields:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (336) ~ (iT = iminus5)
% 8.67/2.66 | (310) iT = iminus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,310) yields a new equation:
% 8.67/2.66 | (312) iminus2 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (228,312) yields a new equation:
% 8.67/2.66 | (263) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 263 yields:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (342) ~ (iT = iplus3)
% 8.67/2.66 | (310) iT = iminus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,310) yields a new equation:
% 8.67/2.66 | (312) iminus2 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (312,228) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (347) ~ (iF = iminus7)
% 8.67/2.66 | (348) iF = iplus7
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (220,348) yields a new equation:
% 8.67/2.66 | (349) iplus7 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (231,349) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (352) ~ (iT = iplus7)
% 8.67/2.66 | (310) iT = iminus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,310) yields a new equation:
% 8.67/2.66 | (312) iminus2 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (312,228) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (357) ~ (iminus6 = iminus2)
% 8.67/2.66 | (358) iminus6 = iplus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (219,358) yields a new equation:
% 8.67/2.66 | (359) iplus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (226,359) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (362) ~ (iT = iplus2)
% 8.67/2.66 | (363) iT = iplus4 | iT = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (212) can reduce 362 to:
% 8.67/2.66 | (364) ~ (iplus2 = iplus1)
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 364 yields:
% 8.67/2.66 | (365) ~ (iplus2 = iplus1)
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (131), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (310) iT = iminus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (310,212) yields a new equation:
% 8.67/2.66 | (311) iminus2 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 311 yields:
% 8.67/2.66 | (312) iminus2 = iplus1
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (107), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (369) iminus9 = iminus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (369,222) yields a new equation:
% 8.67/2.66 | (370) iminus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 370 yields:
% 8.67/2.66 | (228) iminus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (228,312) yields a new equation:
% 8.67/2.66 | (263) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 263 yields:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (375) ~ (iminus9 = iminus2)
% 8.67/2.66 | (376) iminus9 = iplus2
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (376,222) yields a new equation:
% 8.67/2.66 | (377) iplus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 377 yields:
% 8.67/2.66 | (359) iplus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (359) can reduce 365 to:
% 8.67/2.66 | (223) ~ (iminus1 = iplus1)
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (363), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (316) iT = iplus4
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,316) yields a new equation:
% 8.67/2.66 | (318) iplus4 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (318,316) yields a new equation:
% 8.67/2.66 | (212) iT = iplus1
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (137), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (383) iplus2 = iminus4
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (359,383) yields a new equation:
% 8.67/2.66 | (301) iminus4 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (301,383) yields a new equation:
% 8.67/2.66 | (359) iplus2 = iminus1
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (66), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (386) iplus8 = iT
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,386) yields a new equation:
% 8.67/2.66 | (387) iplus8 = iplus1
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (123), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (273) iminus8 = iF
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (220,273) yields a new equation:
% 8.67/2.66 | (389) iminus8 = iminus1
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (162), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (271) iminus8 = iT
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (271,389) yields a new equation:
% 8.67/2.66 | (234) iT = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 234 yields:
% 8.67/2.66 | (235) iT = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (235,212) yields a new equation:
% 8.67/2.66 | (263) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 263 yields:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (322) ~ (iminus8 = iT)
% 8.67/2.66 | (295) iT = iminus4
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (212,295) yields a new equation:
% 8.67/2.66 | (296) iminus4 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (296,301) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (277) ~ (iminus8 = iF)
% 8.67/2.66 | (278) iplus8 = iF
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (278,387) yields a new equation:
% 8.67/2.66 | (403) iF = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 403 yields:
% 8.67/2.66 | (216) iF = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (216,220) yields a new equation:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (407) ~ (iplus8 = iT)
% 8.67/2.66 | (408) iT = iplus2 | iT = iminus4
% 8.67/2.66 |
% 8.67/2.66 | Equations (212) can reduce 407 to:
% 8.67/2.66 | (409) ~ (iplus8 = iplus1)
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (118), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (410) iplus9 = iplus8
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (410,213) yields a new equation:
% 8.67/2.66 | (411) iplus8 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 411 yields:
% 8.67/2.66 | (387) iplus8 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (387) can reduce 409 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (414) ~ (iplus9 = iplus8)
% 8.67/2.66 | (415) iminus9 = iplus8
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (415,222) yields a new equation:
% 8.67/2.66 | (416) iplus8 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 416 yields:
% 8.67/2.66 | (417) iplus8 = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (417) can reduce 409 to:
% 8.67/2.66 | (223) ~ (iminus1 = iplus1)
% 8.67/2.66 |
% 8.67/2.66 +-Applying beta-rule and splitting (28), into two cases.
% 8.67/2.66 |-Branch one:
% 8.67/2.66 | (386) iplus8 = iT
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (417,386) yields a new equation:
% 8.67/2.66 | (235) iT = iminus1
% 8.67/2.66 |
% 8.67/2.66 | Combining equations (235,212) yields a new equation:
% 8.67/2.66 | (263) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Simplifying 263 yields:
% 8.67/2.66 | (236) iminus1 = iplus1
% 8.67/2.66 |
% 8.67/2.66 | Equations (236) can reduce 223 to:
% 8.67/2.66 | (145) $false
% 8.67/2.66 |
% 8.67/2.66 |-The branch is then unsatisfiable
% 8.67/2.66 |-Branch two:
% 8.67/2.66 | (407) ~ (iplus8 = iT)
% 8.67/2.66 | (425) iT = iminus3 | iT = iplus2
% 8.67/2.66 |
% 8.67/2.67 | Equations (417,212) can reduce 407 to:
% 8.67/2.67 | (223) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (425), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (281) iT = iminus3
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,281) yields a new equation:
% 8.67/2.67 | (282) iminus3 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (282,281) yields a new equation:
% 8.67/2.67 | (212) iT = iplus1
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (124), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (430) iF = iplus3
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (220,430) yields a new equation:
% 8.67/2.67 | (249) iplus3 = iminus1
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (25), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (386) iplus8 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (386,417) yields a new equation:
% 8.67/2.67 | (234) iT = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 234 yields:
% 8.67/2.67 | (235) iT = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (235,212) yields a new equation:
% 8.67/2.67 | (263) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 263 yields:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (407) ~ (iplus8 = iT)
% 8.67/2.67 | (439) iT = iplus3 | iT = iminus7
% 8.67/2.67 |
% 8.67/2.67 | Equations (417,212) can reduce 407 to:
% 8.67/2.67 | (223) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (439), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (244) iT = iplus3
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,244) yields a new equation:
% 8.67/2.67 | (245) iplus3 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (245,249) yields a new equation:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (342) ~ (iT = iplus3)
% 8.67/2.67 | (289) iT = iminus7
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,289) yields a new equation:
% 8.67/2.67 | (290) iminus7 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (290,289) yields a new equation:
% 8.67/2.67 | (212) iT = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (212,249) can reduce 342 to:
% 8.67/2.67 | (279) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 279 yields:
% 8.67/2.67 | (223) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (140), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (242) iminus7 = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (290,242) yields a new equation:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (454) ~ (iminus7 = iminus1)
% 8.67/2.67 | (349) iplus7 = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (290) can reduce 454 to:
% 8.67/2.67 | (279) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 279 yields:
% 8.67/2.67 | (223) ~ (iminus1 = iplus1)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (408), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (224) iT = iplus2
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,224) yields a new equation:
% 8.67/2.67 | (226) iplus2 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (226,359) yields a new equation:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (362) ~ (iT = iplus2)
% 8.67/2.67 | (295) iT = iminus4
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,295) yields a new equation:
% 8.67/2.67 | (296) iminus4 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (296,301) yields a new equation:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (467) ~ (iF = iplus3)
% 8.67/2.67 | (468) iF = iminus3
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (220,468) yields a new equation:
% 8.67/2.67 | (255) iminus3 = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (255,282) yields a new equation:
% 8.67/2.67 | (263) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 263 yields:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (285) ~ (iT = iminus3)
% 8.67/2.67 | (224) iT = iplus2
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,224) yields a new equation:
% 8.67/2.67 | (226) iplus2 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (359,226) yields a new equation:
% 8.67/2.67 | (263) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 263 yields:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (479) ~ (iplus2 = iminus4)
% 8.67/2.67 | (480) iplus2 = iplus4
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (359,480) yields a new equation:
% 8.67/2.67 | (307) iplus4 = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (307,318) yields a new equation:
% 8.67/2.67 | (263) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 263 yields:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (485) ~ (iT = iplus4)
% 8.67/2.67 | (235) iT = iminus1
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (212,235) yields a new equation:
% 8.67/2.67 | (236) iminus1 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (236) can reduce 223 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (315) ~ (iT = iminus2)
% 8.67/2.67 | (224) iT = iplus2
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (224,212) yields a new equation:
% 8.67/2.67 | (225) iplus2 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 225 yields:
% 8.67/2.67 | (226) iplus2 = iplus1
% 8.67/2.67 |
% 8.67/2.67 | Equations (226) can reduce 365 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (495) iplus8 = iT | iT = iminus4
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (128), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (199) can reduce 494 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (208) iminus6 = iT
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (122), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (200) iplus6 = iF
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (92), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (507) iT = iplus3 | iT = iminus4
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (16), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (514) iT = iminus5 | iT = iplus4
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (24), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (521) iT = iminus3 | iT = iminus4
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (88), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (528) iminus8 = iT | iT = iminus7
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (40), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (535) iminus8 = iT | iT = iplus4
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (13), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.67 | Combining equations (200,199) yields a new equation:
% 8.67/2.67 | (143) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Simplifying 143 yields:
% 8.67/2.67 | (144) iF = iT
% 8.67/2.67 |
% 8.67/2.67 | Equations (144) can reduce 55 to:
% 8.67/2.67 | (145) $false
% 8.67/2.67 |
% 8.67/2.67 |-The branch is then unsatisfiable
% 8.67/2.67 |-Branch two:
% 8.67/2.67 | (494) ~ (iplus6 = iT)
% 8.67/2.67 | (183) iT = iplus3 | iT = iplus4
% 8.67/2.67 |
% 8.67/2.67 | Equations (200) can reduce 494 to:
% 8.67/2.67 | (55) ~ (iF = iT)
% 8.67/2.67 |
% 8.67/2.67 +-Applying beta-rule and splitting (27), into two cases.
% 8.67/2.67 |-Branch one:
% 8.67/2.67 | (199) iplus6 = iT
% 8.67/2.67 |
% 8.67/2.68 | Combining equations (200,199) yields a new equation:
% 8.67/2.68 | (143) iF = iT
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 143 yields:
% 8.67/2.68 | (144) iF = iT
% 8.67/2.68 |
% 8.67/2.68 | Equations (144) can reduce 55 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (494) ~ (iplus6 = iT)
% 8.67/2.68 | (549) iT = iminus7 | iT = iminus2
% 8.67/2.68 |
% 8.67/2.68 | Equations (200) can reduce 494 to:
% 8.67/2.68 | (55) ~ (iF = iT)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (72), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (199) iplus6 = iT
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (200,199) yields a new equation:
% 8.67/2.68 | (143) iF = iT
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 143 yields:
% 8.67/2.68 | (144) iF = iT
% 8.67/2.68 |
% 8.67/2.68 | Equations (144) can reduce 55 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (494) ~ (iplus6 = iT)
% 8.67/2.68 | (556) iT = iminus4 | iT = iminus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (200) can reduce 494 to:
% 8.67/2.68 | (55) ~ (iF = iT)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (95), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (281) iT = iminus3
% 8.67/2.68 |
% 8.67/2.68 | Equations (281) can reduce 55 to:
% 8.67/2.68 | (559) ~ (iF = iminus3)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (106), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (560) iminus9 = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (560,147) yields a new equation:
% 8.67/2.68 | (430) iF = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (430,200) yields a new equation:
% 8.67/2.68 | (562) iplus6 = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Equations (430) can reduce 559 to:
% 8.67/2.68 | (563) ~ (iminus3 = iplus3)
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 563 yields:
% 8.67/2.68 | (564) ~ (iminus3 = iplus3)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (190), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (244) iT = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (244,281) yields a new equation:
% 8.67/2.68 | (566) iminus3 = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Equations (566) can reduce 564 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (342) ~ (iT = iplus3)
% 8.67/2.68 | (257) iT = iminus5
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (257,281) yields a new equation:
% 8.67/2.68 | (570) iminus3 = iminus5
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (570,281) yields a new equation:
% 8.67/2.68 | (257) iT = iminus5
% 8.67/2.68 |
% 8.67/2.68 | Equations (570) can reduce 564 to:
% 8.67/2.68 | (572) ~ (iplus3 = iminus5)
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 572 yields:
% 8.67/2.68 | (573) ~ (iplus3 = iminus5)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (507), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (244) iT = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (257,244) yields a new equation:
% 8.67/2.68 | (575) iplus3 = iminus5
% 8.67/2.68 |
% 8.67/2.68 | Equations (575) can reduce 573 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (342) ~ (iT = iplus3)
% 8.67/2.68 | (295) iT = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (257,295) yields a new equation:
% 8.67/2.68 | (579) iminus5 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 579 yields:
% 8.67/2.68 | (580) iminus5 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (580) can reduce 573 to:
% 8.67/2.68 | (581) ~ (iplus3 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (110), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (582) iplus6 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (562,582) yields a new equation:
% 8.67/2.68 | (583) iplus3 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 583 yields:
% 8.67/2.68 | (584) iplus3 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (584) can reduce 581 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (586) ~ (iplus6 = iminus4)
% 8.67/2.68 | (587) iplus6 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (562,587) yields a new equation:
% 8.67/2.68 | (588) iplus3 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 588 yields:
% 8.67/2.68 | (589) iplus3 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (589) can reduce 581 to:
% 8.67/2.68 | (590) ~ (iplus4 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (139), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (591) iminus5 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (591,580) yields a new equation:
% 8.67/2.68 | (592) iplus4 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 592 yields:
% 8.67/2.68 | (593) iplus4 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (593) can reduce 590 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (595) ~ (iminus5 = iplus4)
% 8.67/2.68 | (596) iplus5 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (580) can reduce 595 to:
% 8.67/2.68 | (597) ~ (iplus4 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 597 yields:
% 8.67/2.68 | (590) ~ (iplus4 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (98), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (244) iT = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (295,244) yields a new equation:
% 8.67/2.68 | (584) iplus3 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (589,584) yields a new equation:
% 8.67/2.68 | (592) iplus4 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 592 yields:
% 8.67/2.68 | (593) iplus4 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (593) can reduce 590 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (342) ~ (iT = iplus3)
% 8.67/2.68 | (605) iT = iplus4 | iT = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (295,589) can reduce 342 to:
% 8.67/2.68 | (597) ~ (iplus4 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 597 yields:
% 8.67/2.68 | (590) ~ (iplus4 = iminus4)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (605), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (316) iT = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (295,316) yields a new equation:
% 8.67/2.68 | (593) iplus4 = iminus4
% 8.67/2.68 |
% 8.67/2.68 | Equations (593) can reduce 590 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (485) ~ (iT = iplus4)
% 8.67/2.68 | (212) iT = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (295,212) yields a new equation:
% 8.67/2.68 | (613) iminus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 613 yields:
% 8.67/2.68 | (296) iminus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (296) can reduce 590 to:
% 8.67/2.68 | (615) ~ (iplus4 = iplus1)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (197), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (244) iT = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (212,244) yields a new equation:
% 8.67/2.68 | (245) iplus3 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (245,589) yields a new equation:
% 8.67/2.68 | (318) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (318) can reduce 615 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (342) ~ (iT = iplus3)
% 8.67/2.68 | (310) iT = iminus2
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (212,310) yields a new equation:
% 8.67/2.68 | (312) iminus2 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (312,310) yields a new equation:
% 8.67/2.68 | (212) iT = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (212,589) can reduce 342 to:
% 8.67/2.68 | (624) ~ (iplus4 = iplus1)
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 624 yields:
% 8.67/2.68 | (615) ~ (iplus4 = iplus1)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (134), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (626) iplus5 = iminus2
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (626,596) yields a new equation:
% 8.67/2.68 | (627) iminus2 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 627 yields:
% 8.67/2.68 | (628) iminus2 = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (628,312) yields a new equation:
% 8.67/2.68 | (317) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 317 yields:
% 8.67/2.68 | (318) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (318) can reduce 615 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (632) ~ (iplus5 = iminus2)
% 8.67/2.68 | (633) iplus5 = iplus2
% 8.67/2.68 |
% 8.67/2.68 | Equations (596,312) can reduce 632 to:
% 8.67/2.68 | (615) ~ (iplus4 = iplus1)
% 8.67/2.68 |
% 8.67/2.68 +-Applying beta-rule and splitting (183), into two cases.
% 8.67/2.68 |-Branch one:
% 8.67/2.68 | (244) iT = iplus3
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (244,212) yields a new equation:
% 8.67/2.68 | (636) iplus3 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 636 yields:
% 8.67/2.68 | (245) iplus3 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (245,589) yields a new equation:
% 8.67/2.68 | (318) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (318) can reduce 615 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.68 |-Branch two:
% 8.67/2.68 | (342) ~ (iT = iplus3)
% 8.67/2.68 | (316) iT = iplus4
% 8.67/2.68 |
% 8.67/2.68 | Combining equations (316,212) yields a new equation:
% 8.67/2.68 | (317) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Simplifying 317 yields:
% 8.67/2.68 | (318) iplus4 = iplus1
% 8.67/2.68 |
% 8.67/2.68 | Equations (318) can reduce 615 to:
% 8.67/2.68 | (145) $false
% 8.67/2.68 |
% 8.67/2.68 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (645) ~ (iminus9 = iplus3)
% 8.67/2.69 | (646) iminus9 = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (646,147) yields a new equation:
% 8.67/2.69 | (468) iF = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (468) can reduce 559 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (285) ~ (iT = iminus3)
% 8.67/2.69 | (650) iT = iminus2 | iT = iplus1
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (132), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (281) iT = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (281) can reduce 285 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (285) ~ (iT = iminus3)
% 8.67/2.69 | (468) iF = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (468,200) yields a new equation:
% 8.67/2.69 | (655) iplus6 = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (468,147) yields a new equation:
% 8.67/2.69 | (646) iminus9 = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (468) can reduce 55 to:
% 8.67/2.69 | (657) ~ (iT = iminus3)
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 657 yields:
% 8.67/2.69 | (285) ~ (iT = iminus3)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (130), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (281) iT = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (281) can reduce 285 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (285) ~ (iT = iminus3)
% 8.67/2.69 | (244) iT = iplus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (244) can reduce 285 to:
% 8.67/2.69 | (563) ~ (iminus3 = iplus3)
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 563 yields:
% 8.67/2.69 | (564) ~ (iminus3 = iplus3)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (521), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (281) iT = iminus3
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (281,244) yields a new equation:
% 8.67/2.69 | (666) iminus3 = iplus3
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 666 yields:
% 8.67/2.69 | (566) iminus3 = iplus3
% 8.67/2.69 |
% 8.67/2.69 | Equations (566) can reduce 564 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (285) ~ (iT = iminus3)
% 8.67/2.69 | (295) iT = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (295,244) yields a new equation:
% 8.67/2.69 | (584) iplus3 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (584,244) yields a new equation:
% 8.67/2.69 | (295) iT = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (584) can reduce 564 to:
% 8.67/2.69 | (673) ~ (iminus3 = iminus4)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (108), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (674) iminus9 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (674,646) yields a new equation:
% 8.67/2.69 | (675) iminus3 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (675) can reduce 673 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (677) ~ (iminus9 = iminus4)
% 8.67/2.69 | (678) iminus9 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (678,646) yields a new equation:
% 8.67/2.69 | (679) iminus3 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (679,468) yields a new equation:
% 8.67/2.69 | (680) iF = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (679,655) yields a new equation:
% 8.67/2.69 | (587) iplus6 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (679,646) yields a new equation:
% 8.67/2.69 | (678) iminus9 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (679) can reduce 673 to:
% 8.67/2.69 | (590) ~ (iplus4 = iminus4)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (514), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (257) iT = iminus5
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (295,257) yields a new equation:
% 8.67/2.69 | (580) iminus5 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (580,257) yields a new equation:
% 8.67/2.69 | (295) iT = iminus4
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (535), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (271) iminus8 = iT
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (295,271) yields a new equation:
% 8.67/2.69 | (688) iminus8 = iminus4
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (125), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (689) iF = iminus5
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (680,689) yields a new equation:
% 8.67/2.69 | (591) iminus5 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (591,580) yields a new equation:
% 8.67/2.69 | (592) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 592 yields:
% 8.67/2.69 | (593) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (593) can reduce 590 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (694) ~ (iF = iminus5)
% 8.67/2.69 | (695) iF = iplus5
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (680,695) yields a new equation:
% 8.67/2.69 | (596) iplus5 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (596,695) yields a new equation:
% 8.67/2.69 | (680) iF = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (680,580) can reduce 694 to:
% 8.67/2.69 | (590) ~ (iplus4 = iminus4)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (105), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (699) iminus9 = iminus8
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (699,678) yields a new equation:
% 8.67/2.69 | (700) iminus8 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 700 yields:
% 8.67/2.69 | (701) iminus8 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (688,701) yields a new equation:
% 8.67/2.69 | (593) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (593) can reduce 590 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (704) ~ (iminus9 = iminus8)
% 8.67/2.69 | (415) iminus9 = iplus8
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (415,678) yields a new equation:
% 8.67/2.69 | (706) iplus8 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 706 yields:
% 8.67/2.69 | (707) iplus8 = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (678,688) can reduce 704 to:
% 8.67/2.69 | (590) ~ (iplus4 = iminus4)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (28), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (386) iplus8 = iT
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (707,386) yields a new equation:
% 8.67/2.69 | (316) iT = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (316,295) yields a new equation:
% 8.67/2.69 | (592) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 592 yields:
% 8.67/2.69 | (593) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (593) can reduce 590 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (407) ~ (iplus8 = iT)
% 8.67/2.69 | (425) iT = iminus3 | iT = iplus2
% 8.67/2.69 |
% 8.67/2.69 | Equations (707,295) can reduce 407 to:
% 8.67/2.69 | (590) ~ (iplus4 = iminus4)
% 8.67/2.69 |
% 8.67/2.69 +-Applying beta-rule and splitting (100), into two cases.
% 8.67/2.69 |-Branch one:
% 8.67/2.69 | (386) iplus8 = iT
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (707,386) yields a new equation:
% 8.67/2.69 | (316) iT = iplus4
% 8.67/2.69 |
% 8.67/2.69 | Combining equations (316,295) yields a new equation:
% 8.67/2.69 | (592) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Simplifying 592 yields:
% 8.67/2.69 | (593) iplus4 = iminus4
% 8.67/2.69 |
% 8.67/2.69 | Equations (593) can reduce 590 to:
% 8.67/2.69 | (145) $false
% 8.67/2.69 |
% 8.67/2.69 |-The branch is then unsatisfiable
% 8.67/2.69 |-Branch two:
% 8.67/2.69 | (407) ~ (iplus8 = iT)
% 8.67/2.69 | (723) iT = iminus3 | iT = iplus7
% 8.67/2.69 |
% 8.67/2.69 | Equations (707,295) can reduce 407 to:
% 8.67/2.69 | (590) ~ (iplus4 = iminus4)
% 8.67/2.69 |
% 9.09/2.69 +-Applying beta-rule and splitting (425), into two cases.
% 9.09/2.69 |-Branch one:
% 9.09/2.69 | (281) iT = iminus3
% 9.09/2.69 |
% 9.09/2.69 | Combining equations (295,281) yields a new equation:
% 9.09/2.69 | (675) iminus3 = iminus4
% 9.09/2.69 |
% 9.09/2.69 | Combining equations (675,679) yields a new equation:
% 9.09/2.69 | (593) iplus4 = iminus4
% 9.09/2.69 |
% 9.09/2.69 | Equations (593) can reduce 590 to:
% 9.09/2.69 | (145) $false
% 9.09/2.69 |
% 9.09/2.69 |-The branch is then unsatisfiable
% 9.09/2.69 |-Branch two:
% 9.09/2.69 | (285) ~ (iT = iminus3)
% 9.09/2.70 | (224) iT = iplus2
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,224) yields a new equation:
% 9.09/2.70 | (383) iplus2 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (383,224) yields a new equation:
% 9.09/2.70 | (295) iT = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (295,679) can reduce 285 to:
% 9.09/2.70 | (597) ~ (iplus4 = iminus4)
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 597 yields:
% 9.09/2.70 | (590) ~ (iplus4 = iminus4)
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (109), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (735) iplus6 = iminus2
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (735,587) yields a new equation:
% 9.09/2.70 | (627) iminus2 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 627 yields:
% 9.09/2.70 | (628) iminus2 = iplus4
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (549), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (289) iT = iminus7
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,289) yields a new equation:
% 9.09/2.70 | (300) iminus7 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (300,289) yields a new equation:
% 9.09/2.70 | (295) iT = iminus4
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (133), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (741) iminus3 = iminus7
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (679,741) yields a new equation:
% 9.09/2.70 | (306) iminus7 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (306,300) yields a new equation:
% 9.09/2.70 | (592) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 592 yields:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (746) ~ (iminus3 = iminus7)
% 9.09/2.70 | (747) iminus3 = iplus7
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (679,747) yields a new equation:
% 9.09/2.70 | (748) iplus7 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (748,747) yields a new equation:
% 9.09/2.70 | (679) iminus3 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (679,300) can reduce 746 to:
% 9.09/2.70 | (590) ~ (iplus4 = iminus4)
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (78), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (230) iT = iplus7
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,230) yields a new equation:
% 9.09/2.70 | (752) iplus7 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (752,748) yields a new equation:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (352) ~ (iT = iplus7)
% 9.09/2.70 | (605) iT = iplus4 | iT = iplus1
% 9.09/2.70 |
% 9.09/2.70 | Equations (295,748) can reduce 352 to:
% 9.09/2.70 | (597) ~ (iplus4 = iminus4)
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 597 yields:
% 9.09/2.70 | (590) ~ (iplus4 = iminus4)
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (155), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (230) iT = iplus7
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,230) yields a new equation:
% 9.09/2.70 | (752) iplus7 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (752,748) yields a new equation:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (352) ~ (iT = iplus7)
% 9.09/2.70 | (310) iT = iminus2
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,310) yields a new equation:
% 9.09/2.70 | (765) iminus2 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (628,765) yields a new equation:
% 9.09/2.70 | (592) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 592 yields:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (294) ~ (iT = iminus7)
% 9.09/2.70 | (310) iT = iminus2
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,310) yields a new equation:
% 9.09/2.70 | (765) iminus2 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (628,765) yields a new equation:
% 9.09/2.70 | (592) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 592 yields:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (775) ~ (iplus6 = iminus2)
% 9.09/2.70 | (776) iplus6 = iplus2
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (776,587) yields a new equation:
% 9.09/2.70 | (777) iplus2 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 777 yields:
% 9.09/2.70 | (480) iplus2 = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (480,383) yields a new equation:
% 9.09/2.70 | (592) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 592 yields:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (322) ~ (iminus8 = iT)
% 9.09/2.70 | (316) iT = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,316) yields a new equation:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (336) ~ (iT = iminus5)
% 9.09/2.70 | (316) iT = iplus4
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (295,316) yields a new equation:
% 9.09/2.70 | (593) iplus4 = iminus4
% 9.09/2.70 |
% 9.09/2.70 | Equations (593) can reduce 590 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (204) ~ (iplus6 = iF)
% 9.09/2.70 | (205) iminus6 = iF
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (205,208) yields a new equation:
% 9.09/2.70 | (143) iF = iT
% 9.09/2.70 |
% 9.09/2.70 | Simplifying 143 yields:
% 9.09/2.70 | (144) iF = iT
% 9.09/2.70 |
% 9.09/2.70 | Equations (144) can reduce 55 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (795) ~ (iplus9 = iT)
% 9.09/2.70 | (183) iT = iplus3 | iT = iplus4
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (127), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (141) iplus9 = iT
% 9.09/2.70 |
% 9.09/2.70 | Equations (141) can reduce 795 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (795) ~ (iplus9 = iT)
% 9.09/2.70 | (150) iminus9 = iT
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (102), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (141) iplus9 = iT
% 9.09/2.70 |
% 9.09/2.70 | Equations (141) can reduce 795 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (795) ~ (iplus9 = iT)
% 9.09/2.70 | (142) iplus9 = iF
% 9.09/2.70 |
% 9.09/2.70 | Equations (142) can reduce 795 to:
% 9.09/2.70 | (55) ~ (iF = iT)
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (68), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (141) iplus9 = iT
% 9.09/2.70 |
% 9.09/2.70 | Combining equations (141,142) yields a new equation:
% 9.09/2.70 | (144) iF = iT
% 9.09/2.70 |
% 9.09/2.70 | Equations (144) can reduce 55 to:
% 9.09/2.70 | (145) $false
% 9.09/2.70 |
% 9.09/2.70 |-The branch is then unsatisfiable
% 9.09/2.70 |-Branch two:
% 9.09/2.70 | (795) ~ (iplus9 = iT)
% 9.09/2.70 | (810) iT = iplus5 | iT = iminus7
% 9.09/2.70 |
% 9.09/2.70 | Equations (142) can reduce 795 to:
% 9.09/2.70 | (55) ~ (iF = iT)
% 9.09/2.70 |
% 9.09/2.70 +-Applying beta-rule and splitting (63), into two cases.
% 9.09/2.70 |-Branch one:
% 9.09/2.70 | (141) iplus9 = iT
% 9.09/2.70 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (176) iminus6 = iT | iT = iplus1
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (89), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (162) iminus8 = iT | iT = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (14), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (828) iT = iplus5 | iT = iplus2
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (91), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (834) iminus8 = iT | iT = iplus3
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (86), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (840) iT = iplus5 | iT = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (39), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (846) iT = iminus4 | iT = iplus1
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (80), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (852) iT = iplus7 | iT = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (60), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (858) iminus6 = iT | iT = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (47), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (141) iplus9 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (141,142) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (795) ~ (iplus9 = iT)
% 9.09/2.71 | (864) iplus6 = iT | iT = iminus2
% 9.09/2.71 |
% 9.09/2.71 | Equations (142) can reduce 795 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (54), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (271) iminus8 = iT
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (123), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (273) iminus8 = iF
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (273,271) yields a new equation:
% 9.09/2.71 | (143) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 143 yields:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (277) ~ (iminus8 = iF)
% 9.09/2.71 | (278) iplus8 = iF
% 9.09/2.71 |
% 9.09/2.71 | Equations (271) can reduce 277 to:
% 9.09/2.71 | (148) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 148 yields:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (28), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (386) iplus8 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (386,278) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (407) ~ (iplus8 = iT)
% 9.09/2.71 | (425) iT = iminus3 | iT = iplus2
% 9.09/2.71 |
% 9.09/2.71 | Equations (278) can reduce 407 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (25), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (386) iplus8 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (386,278) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (407) ~ (iplus8 = iT)
% 9.09/2.71 | (439) iT = iplus3 | iT = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (278) can reduce 407 to:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (19), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (199) iplus6 = iT
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (122), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (200) iplus6 = iF
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (199,200) yields a new equation:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (204) ~ (iplus6 = iF)
% 9.09/2.71 | (205) iminus6 = iF
% 9.09/2.71 |
% 9.09/2.71 | Equations (199) can reduce 204 to:
% 9.09/2.71 | (148) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 148 yields:
% 9.09/2.71 | (55) ~ (iF = iT)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (858), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (208) iminus6 = iT
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (205,208) yields a new equation:
% 9.09/2.71 | (143) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 143 yields:
% 9.09/2.71 | (144) iF = iT
% 9.09/2.71 |
% 9.09/2.71 | Equations (144) can reduce 55 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (211) ~ (iminus6 = iT)
% 9.09/2.71 | (289) iT = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (289) can reduce 55 to:
% 9.09/2.71 | (347) ~ (iF = iminus7)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (119), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (902) iplus8 = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (278,902) yields a new equation:
% 9.09/2.71 | (903) iF = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 903 yields:
% 9.09/2.71 | (241) iF = iminus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (241) can reduce 347 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (906) ~ (iplus8 = iminus7)
% 9.09/2.71 | (907) iplus8 = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (278,907) yields a new equation:
% 9.09/2.71 | (908) iF = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 908 yields:
% 9.09/2.71 | (348) iF = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (348,205) yields a new equation:
% 9.09/2.71 | (910) iminus6 = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (348,142) yields a new equation:
% 9.09/2.71 | (911) iplus9 = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (348) can reduce 347 to:
% 9.09/2.71 | (912) ~ (iminus7 = iplus7)
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 912 yields:
% 9.09/2.71 | (913) ~ (iminus7 = iplus7)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (852), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (230) iT = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (230,289) yields a new equation:
% 9.09/2.71 | (915) iminus7 = iplus7
% 9.09/2.71 |
% 9.09/2.71 | Equations (915) can reduce 913 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (352) ~ (iT = iplus7)
% 9.09/2.71 | (295) iT = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (295,289) yields a new equation:
% 9.09/2.71 | (300) iminus7 = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (300,289) yields a new equation:
% 9.09/2.71 | (295) iT = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Equations (300) can reduce 913 to:
% 9.09/2.71 | (921) ~ (iplus7 = iminus4)
% 9.09/2.71 |
% 9.09/2.71 | Simplifying 921 yields:
% 9.09/2.71 | (922) ~ (iplus7 = iminus4)
% 9.09/2.71 |
% 9.09/2.71 +-Applying beta-rule and splitting (103), into two cases.
% 9.09/2.71 |-Branch one:
% 9.09/2.71 | (923) iplus9 = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (923,911) yields a new equation:
% 9.09/2.71 | (752) iplus7 = iminus4
% 9.09/2.71 |
% 9.09/2.71 | Equations (752) can reduce 922 to:
% 9.09/2.71 | (145) $false
% 9.09/2.71 |
% 9.09/2.71 |-The branch is then unsatisfiable
% 9.09/2.71 |-Branch two:
% 9.09/2.71 | (926) ~ (iplus9 = iminus4)
% 9.09/2.71 | (927) iplus9 = iplus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (927,911) yields a new equation:
% 9.09/2.71 | (748) iplus7 = iplus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (748,907) yields a new equation:
% 9.09/2.71 | (707) iplus8 = iplus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (748,910) yields a new equation:
% 9.09/2.71 | (930) iminus6 = iplus4
% 9.09/2.71 |
% 9.09/2.71 | Combining equations (748,911) yields a new equation:
% 9.09/2.71 | (927) iplus9 = iplus4
% 9.09/2.71 |
% 9.09/2.72 | Equations (748) can reduce 922 to:
% 9.09/2.72 | (590) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (53), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (208) iminus6 = iT
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (208,930) yields a new equation:
% 9.09/2.72 | (934) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 934 yields:
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (316,295) yields a new equation:
% 9.09/2.72 | (592) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 592 yields:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (211) ~ (iminus6 = iT)
% 9.09/2.72 | (239) iT = iminus2 | iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (930,295) can reduce 211 to:
% 9.09/2.72 | (590) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (26), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (386) iplus8 = iT
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (707,386) yields a new equation:
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (295,316) yields a new equation:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (407) ~ (iplus8 = iT)
% 9.09/2.72 | (947) iT = iminus5 | iT = iplus7
% 9.09/2.72 |
% 9.09/2.72 | Equations (707,295) can reduce 407 to:
% 9.09/2.72 | (590) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (239), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (310) iT = iminus2
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (310,295) yields a new equation:
% 9.09/2.72 | (950) iminus2 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 950 yields:
% 9.09/2.72 | (765) iminus2 = iminus4
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (100), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (386) iplus8 = iT
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (707,386) yields a new equation:
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (316,295) yields a new equation:
% 9.09/2.72 | (592) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 592 yields:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (407) ~ (iplus8 = iT)
% 9.09/2.72 | (723) iT = iminus3 | iT = iplus7
% 9.09/2.72 |
% 9.09/2.72 | Equations (707,295) can reduce 407 to:
% 9.09/2.72 | (590) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (78), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (230) iT = iplus7
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (295,230) yields a new equation:
% 9.09/2.72 | (752) iplus7 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (748,752) yields a new equation:
% 9.09/2.72 | (592) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 592 yields:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (352) ~ (iT = iplus7)
% 9.09/2.72 | (605) iT = iplus4 | iT = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (295,748) can reduce 352 to:
% 9.09/2.72 | (597) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 597 yields:
% 9.09/2.72 | (590) ~ (iplus4 = iminus4)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (176), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (208) iminus6 = iT
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (208,930) yields a new equation:
% 9.09/2.72 | (934) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 934 yields:
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (295,316) yields a new equation:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (211) ~ (iminus6 = iT)
% 9.09/2.72 | (212) iT = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (295,212) yields a new equation:
% 9.09/2.72 | (613) iminus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 613 yields:
% 9.09/2.72 | (296) iminus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (296,765) yields a new equation:
% 9.09/2.72 | (312) iminus2 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (296) can reduce 590 to:
% 9.09/2.72 | (615) ~ (iplus4 = iplus1)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (136), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (980) iplus7 = iminus2
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (980,748) yields a new equation:
% 9.09/2.72 | (627) iminus2 = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 627 yields:
% 9.09/2.72 | (628) iminus2 = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (628,312) yields a new equation:
% 9.09/2.72 | (317) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 317 yields:
% 9.09/2.72 | (318) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (318) can reduce 615 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (986) ~ (iplus7 = iminus2)
% 9.09/2.72 | (987) iplus7 = iplus2
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (987,748) yields a new equation:
% 9.09/2.72 | (777) iplus2 = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 777 yields:
% 9.09/2.72 | (480) iplus2 = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (748,312) can reduce 986 to:
% 9.09/2.72 | (615) ~ (iplus4 = iplus1)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (52), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (224) iT = iplus2
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (212,224) yields a new equation:
% 9.09/2.72 | (226) iplus2 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (480,226) yields a new equation:
% 9.09/2.72 | (317) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 317 yields:
% 9.09/2.72 | (318) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (318) can reduce 615 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (362) ~ (iT = iplus2)
% 9.09/2.72 | (363) iT = iplus4 | iT = iminus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (212,480) can reduce 362 to:
% 9.09/2.72 | (624) ~ (iplus4 = iplus1)
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 624 yields:
% 9.09/2.72 | (615) ~ (iplus4 = iplus1)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (104), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (1000) iplus9 = iminus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (1000,927) yields a new equation:
% 9.09/2.72 | (307) iplus4 = iminus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (307) can reduce 615 to:
% 9.09/2.72 | (223) ~ (iminus1 = iplus1)
% 9.09/2.72 |
% 9.09/2.72 +-Applying beta-rule and splitting (363), into two cases.
% 9.09/2.72 |-Branch one:
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (212,316) yields a new equation:
% 9.09/2.72 | (318) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (307,318) yields a new equation:
% 9.09/2.72 | (263) iminus1 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 263 yields:
% 9.09/2.72 | (236) iminus1 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (236) can reduce 223 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (485) ~ (iT = iplus4)
% 9.09/2.72 | (235) iT = iminus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (212,235) yields a new equation:
% 9.09/2.72 | (236) iminus1 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (236) can reduce 223 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (1012) ~ (iplus9 = iminus1)
% 9.09/2.72 | (213) iplus9 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (213,927) yields a new equation:
% 9.09/2.72 | (318) iplus4 = iplus1
% 9.09/2.72 |
% 9.09/2.72 | Equations (318) can reduce 615 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.72 |-Branch two:
% 9.09/2.72 | (315) ~ (iT = iminus2)
% 9.09/2.72 | (316) iT = iplus4
% 9.09/2.72 |
% 9.09/2.72 | Combining equations (316,295) yields a new equation:
% 9.09/2.72 | (592) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Simplifying 592 yields:
% 9.09/2.72 | (593) iplus4 = iminus4
% 9.09/2.72 |
% 9.09/2.72 | Equations (593) can reduce 590 to:
% 9.09/2.72 | (145) $false
% 9.09/2.72 |
% 9.09/2.72 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (494) ~ (iplus6 = iT)
% 9.09/2.73 | (495) iplus8 = iT | iT = iminus4
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (115), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (1023) iplus6 = iminus8
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (271,1023) yields a new equation:
% 9.09/2.73 | (199) iplus6 = iT
% 9.09/2.73 |
% 9.09/2.73 | Equations (199) can reduce 494 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (1026) ~ (iplus6 = iminus8)
% 9.09/2.73 | (1027) iminus6 = iminus8
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (271,1027) yields a new equation:
% 9.09/2.73 | (208) iminus6 = iT
% 9.09/2.73 |
% 9.09/2.73 | Equations (271) can reduce 1026 to:
% 9.09/2.73 | (494) ~ (iplus6 = iT)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (122), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (200) iplus6 = iF
% 9.09/2.73 |
% 9.09/2.73 | Equations (200) can reduce 494 to:
% 9.09/2.73 | (55) ~ (iF = iT)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (495), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (386) iplus8 = iT
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (386,278) yields a new equation:
% 9.09/2.73 | (144) iF = iT
% 9.09/2.73 |
% 9.09/2.73 | Equations (144) can reduce 55 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (407) ~ (iplus8 = iT)
% 9.09/2.73 | (295) iT = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (295) can reduce 55 to:
% 9.09/2.73 | (1037) ~ (iF = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (110), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (582) iplus6 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (200,582) yields a new equation:
% 9.09/2.73 | (1039) iF = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 1039 yields:
% 9.09/2.73 | (1040) iF = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (1040) can reduce 1037 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (586) ~ (iplus6 = iminus4)
% 9.09/2.73 | (587) iplus6 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (200,587) yields a new equation:
% 9.09/2.73 | (1044) iF = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 1044 yields:
% 9.09/2.73 | (680) iF = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (680,278) yields a new equation:
% 9.09/2.73 | (707) iplus8 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (680) can reduce 1037 to:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (13), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (199) iplus6 = iT
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (587,199) yields a new equation:
% 9.09/2.73 | (316) iT = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (295,316) yields a new equation:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (494) ~ (iplus6 = iT)
% 9.09/2.73 | (183) iT = iplus3 | iT = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (587,295) can reduce 494 to:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (183), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (244) iT = iplus3
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (244,295) yields a new equation:
% 9.09/2.73 | (583) iplus3 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 583 yields:
% 9.09/2.73 | (584) iplus3 = iminus4
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (124), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (430) iF = iplus3
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (430,680) yields a new equation:
% 9.09/2.73 | (588) iplus3 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 588 yields:
% 9.09/2.73 | (589) iplus3 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (584,589) yields a new equation:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (467) ~ (iF = iplus3)
% 9.09/2.73 | (468) iF = iminus3
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (468,680) yields a new equation:
% 9.09/2.73 | (1065) iminus3 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 1065 yields:
% 9.09/2.73 | (679) iminus3 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (680,584) can reduce 467 to:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (864), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (199) iplus6 = iT
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (587,199) yields a new equation:
% 9.09/2.73 | (316) iT = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (295,316) yields a new equation:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (494) ~ (iplus6 = iT)
% 9.09/2.73 | (310) iT = iminus2
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (310,295) yields a new equation:
% 9.09/2.73 | (950) iminus2 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 950 yields:
% 9.09/2.73 | (765) iminus2 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (587,295) can reduce 494 to:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (100), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (386) iplus8 = iT
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (707,386) yields a new equation:
% 9.09/2.73 | (316) iT = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (316,295) yields a new equation:
% 9.09/2.73 | (592) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 592 yields:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (407) ~ (iplus8 = iT)
% 9.09/2.73 | (723) iT = iminus3 | iT = iplus7
% 9.09/2.73 |
% 9.09/2.73 | Equations (707,295) can reduce 407 to:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (425), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (281) iT = iminus3
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (295,281) yields a new equation:
% 9.09/2.73 | (675) iminus3 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (675,679) yields a new equation:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (285) ~ (iT = iminus3)
% 9.09/2.73 | (224) iT = iplus2
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (295,224) yields a new equation:
% 9.09/2.73 | (383) iplus2 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (383,224) yields a new equation:
% 9.09/2.73 | (295) iT = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (295,679) can reduce 285 to:
% 9.09/2.73 | (597) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 597 yields:
% 9.09/2.73 | (590) ~ (iplus4 = iminus4)
% 9.09/2.73 |
% 9.09/2.73 +-Applying beta-rule and splitting (120), into two cases.
% 9.09/2.73 |-Branch one:
% 9.09/2.73 | (1095) iplus8 = iminus2
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (1095,707) yields a new equation:
% 9.09/2.73 | (627) iminus2 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 627 yields:
% 9.09/2.73 | (628) iminus2 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (765,628) yields a new equation:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (1100) ~ (iplus8 = iminus2)
% 9.09/2.73 | (1101) iplus8 = iplus2
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (1101,707) yields a new equation:
% 9.09/2.73 | (777) iplus2 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 777 yields:
% 9.09/2.73 | (480) iplus2 = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (480,383) yields a new equation:
% 9.09/2.73 | (592) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Simplifying 592 yields:
% 9.09/2.73 | (593) iplus4 = iminus4
% 9.09/2.73 |
% 9.09/2.73 | Equations (593) can reduce 590 to:
% 9.09/2.73 | (145) $false
% 9.09/2.73 |
% 9.09/2.73 |-The branch is then unsatisfiable
% 9.09/2.73 |-Branch two:
% 9.09/2.73 | (342) ~ (iT = iplus3)
% 9.09/2.73 | (316) iT = iplus4
% 9.09/2.73 |
% 9.09/2.73 | Combining equations (316,295) yields a new equation:
% 9.09/2.74 | (592) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 592 yields:
% 9.09/2.74 | (593) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (593) can reduce 590 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (204) ~ (iplus6 = iF)
% 9.09/2.74 | (205) iminus6 = iF
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (208,205) yields a new equation:
% 9.09/2.74 | (144) iF = iT
% 9.09/2.74 |
% 9.09/2.74 | Equations (144) can reduce 55 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (322) ~ (iminus8 = iT)
% 9.09/2.74 | (197) iT = iplus3 | iT = iminus2
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (162), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (271) iminus8 = iT
% 9.09/2.74 |
% 9.09/2.74 | Equations (271) can reduce 322 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (322) ~ (iminus8 = iT)
% 9.09/2.74 | (295) iT = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (295) can reduce 322 to:
% 9.09/2.74 | (1122) ~ (iminus8 = iminus4)
% 9.09/2.74 |
% 9.09/2.74 | Equations (295) can reduce 55 to:
% 9.09/2.74 | (1037) ~ (iF = iminus4)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (103), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (923) iplus9 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (923,142) yields a new equation:
% 9.09/2.74 | (1040) iF = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (1040) can reduce 1037 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (926) ~ (iplus9 = iminus4)
% 9.09/2.74 | (927) iplus9 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (927,142) yields a new equation:
% 9.09/2.74 | (680) iF = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (680,142) yields a new equation:
% 9.09/2.74 | (927) iplus9 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (680) can reduce 1037 to:
% 9.09/2.74 | (590) ~ (iplus4 = iminus4)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (40), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (199) iplus6 = iT
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (295,199) yields a new equation:
% 9.09/2.74 | (582) iplus6 = iminus4
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (183), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (244) iT = iplus3
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (244,295) yields a new equation:
% 9.09/2.74 | (583) iplus3 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 583 yields:
% 9.09/2.74 | (584) iplus3 = iminus4
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (101), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (1137) iplus9 = iplus6
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (1137,927) yields a new equation:
% 9.09/2.74 | (1138) iplus6 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 1138 yields:
% 9.09/2.74 | (587) iplus6 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (582,587) yields a new equation:
% 9.09/2.74 | (593) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (593) can reduce 590 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (1142) ~ (iplus9 = iplus6)
% 9.09/2.74 | (1143) iplus9 = iminus6
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (1143,927) yields a new equation:
% 9.09/2.74 | (1144) iminus6 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 1144 yields:
% 9.09/2.74 | (930) iminus6 = iplus4
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (116), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (271) iminus8 = iT
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (295,271) yields a new equation:
% 9.09/2.74 | (688) iminus8 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (688) can reduce 1122 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (322) ~ (iminus8 = iT)
% 9.09/2.74 | (273) iminus8 = iF
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (680,273) yields a new equation:
% 9.09/2.74 | (701) iminus8 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (701) can reduce 1122 to:
% 9.09/2.74 | (590) ~ (iplus4 = iminus4)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (129), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (271) iminus8 = iT
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (701,271) yields a new equation:
% 9.09/2.74 | (316) iT = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (295,316) yields a new equation:
% 9.09/2.74 | (593) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (593) can reduce 590 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (322) ~ (iminus8 = iT)
% 9.09/2.74 | (386) iplus8 = iT
% 9.09/2.74 |
% 9.09/2.74 | Equations (701,295) can reduce 322 to:
% 9.09/2.74 | (590) ~ (iplus4 = iminus4)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (176), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (208) iminus6 = iT
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (208,930) yields a new equation:
% 9.09/2.74 | (934) iT = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 934 yields:
% 9.09/2.74 | (316) iT = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (316,295) yields a new equation:
% 9.09/2.74 | (592) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 592 yields:
% 9.09/2.74 | (593) iplus4 = iminus4
% 9.09/2.74 |
% 9.09/2.74 | Equations (593) can reduce 590 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (211) ~ (iminus6 = iT)
% 9.09/2.74 | (212) iT = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (295,212) yields a new equation:
% 9.09/2.74 | (613) iminus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 613 yields:
% 9.09/2.74 | (296) iminus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (296,584) yields a new equation:
% 9.09/2.74 | (245) iplus3 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (296) can reduce 590 to:
% 9.09/2.74 | (615) ~ (iplus4 = iplus1)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (117), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (272) iminus8 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (701,272) yields a new equation:
% 9.09/2.74 | (317) iplus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 317 yields:
% 9.09/2.74 | (318) iplus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (318) can reduce 615 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (1176) ~ (iminus8 = iplus1)
% 9.09/2.74 | (389) iminus8 = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (701,389) yields a new equation:
% 9.09/2.74 | (1178) iplus4 = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 1178 yields:
% 9.09/2.74 | (307) iplus4 = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (307,680) yields a new equation:
% 9.09/2.74 | (220) iF = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (307) can reduce 615 to:
% 9.09/2.74 | (223) ~ (iminus1 = iplus1)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (138), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (589) iplus3 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (589,245) yields a new equation:
% 9.09/2.74 | (317) iplus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 317 yields:
% 9.09/2.74 | (318) iplus4 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (318,307) yields a new equation:
% 9.09/2.74 | (236) iminus1 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (236) can reduce 223 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (1187) ~ (iplus3 = iplus4)
% 9.09/2.74 | (679) iminus3 = iplus4
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (307,679) yields a new equation:
% 9.09/2.74 | (255) iminus3 = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (245,307) can reduce 1187 to:
% 9.09/2.74 | (279) ~ (iminus1 = iplus1)
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 279 yields:
% 9.09/2.74 | (223) ~ (iminus1 = iplus1)
% 9.09/2.74 |
% 9.09/2.74 +-Applying beta-rule and splitting (61), into two cases.
% 9.09/2.74 |-Branch one:
% 9.09/2.74 | (271) iminus8 = iT
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (271,389) yields a new equation:
% 9.09/2.74 | (234) iT = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 234 yields:
% 9.09/2.74 | (235) iT = iminus1
% 9.09/2.74 |
% 9.09/2.74 | Combining equations (235,212) yields a new equation:
% 9.09/2.74 | (263) iminus1 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Simplifying 263 yields:
% 9.09/2.74 | (236) iminus1 = iplus1
% 9.09/2.74 |
% 9.09/2.74 | Equations (236) can reduce 223 to:
% 9.09/2.74 | (145) $false
% 9.09/2.74 |
% 9.09/2.74 |-The branch is then unsatisfiable
% 9.09/2.74 |-Branch two:
% 9.09/2.74 | (322) ~ (iminus8 = iT)
% 9.09/2.74 | (1199) iT = iminus3 | iT = iminus5
% 9.09/2.74 |
% 9.09/2.75 | Equations (389,212) can reduce 322 to:
% 9.09/2.75 | (223) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (1199), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (281) iT = iminus3
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,281) yields a new equation:
% 9.09/2.75 | (282) iminus3 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (282,255) yields a new equation:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (285) ~ (iT = iminus3)
% 9.09/2.75 | (257) iT = iminus5
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,257) yields a new equation:
% 9.09/2.75 | (258) iminus5 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (258,257) yields a new equation:
% 9.09/2.75 | (212) iT = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (212,255) can reduce 285 to:
% 9.09/2.75 | (279) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 279 yields:
% 9.09/2.75 | (223) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (125), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (689) iF = iminus5
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (220,689) yields a new equation:
% 9.09/2.75 | (262) iminus5 = iminus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (258,262) yields a new equation:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (694) ~ (iF = iminus5)
% 9.09/2.75 | (695) iF = iplus5
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (220,695) yields a new equation:
% 9.09/2.75 | (269) iplus5 = iminus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (269,695) yields a new equation:
% 9.09/2.75 | (220) iF = iminus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (220,258) can reduce 694 to:
% 9.09/2.75 | (223) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (828), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (330) iT = iplus5
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,330) yields a new equation:
% 9.09/2.75 | (332) iplus5 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (269,332) yields a new equation:
% 9.09/2.75 | (263) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 263 yields:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (1225) ~ (iT = iplus5)
% 9.09/2.75 | (224) iT = iplus2
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,224) yields a new equation:
% 9.09/2.75 | (226) iplus2 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (226,224) yields a new equation:
% 9.09/2.75 | (212) iT = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (212,269) can reduce 1225 to:
% 9.09/2.75 | (279) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 279 yields:
% 9.09/2.75 | (223) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (67), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (271) iminus8 = iT
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (389,271) yields a new equation:
% 9.09/2.75 | (235) iT = iminus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (235,212) yields a new equation:
% 9.09/2.75 | (263) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 263 yields:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (322) ~ (iminus8 = iT)
% 9.09/2.75 | (323) iT = iminus3 | iT = iplus5
% 9.09/2.75 |
% 9.09/2.75 | Equations (389,212) can reduce 322 to:
% 9.09/2.75 | (223) ~ (iminus1 = iplus1)
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (323), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (281) iT = iminus3
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,281) yields a new equation:
% 9.09/2.75 | (282) iminus3 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (282,255) yields a new equation:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (285) ~ (iT = iminus3)
% 9.09/2.75 | (330) iT = iplus5
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (212,330) yields a new equation:
% 9.09/2.75 | (332) iplus5 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (269,332) yields a new equation:
% 9.09/2.75 | (263) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 263 yields:
% 9.09/2.75 | (236) iminus1 = iplus1
% 9.09/2.75 |
% 9.09/2.75 | Equations (236) can reduce 223 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (342) ~ (iT = iplus3)
% 9.09/2.75 | (316) iT = iplus4
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (316,295) yields a new equation:
% 9.09/2.75 | (592) iplus4 = iminus4
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 592 yields:
% 9.09/2.75 | (593) iplus4 = iminus4
% 9.09/2.75 |
% 9.09/2.75 | Equations (593) can reduce 590 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (494) ~ (iplus6 = iT)
% 9.09/2.75 | (535) iminus8 = iT | iT = iplus4
% 9.09/2.75 |
% 9.09/2.75 +-Applying beta-rule and splitting (535), into two cases.
% 9.09/2.75 |-Branch one:
% 9.09/2.75 | (271) iminus8 = iT
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (295,271) yields a new equation:
% 9.09/2.75 | (688) iminus8 = iminus4
% 9.09/2.75 |
% 9.09/2.75 | Equations (688) can reduce 1122 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 |-Branch two:
% 9.09/2.75 | (322) ~ (iminus8 = iT)
% 9.09/2.75 | (316) iT = iplus4
% 9.09/2.75 |
% 9.09/2.75 | Combining equations (316,295) yields a new equation:
% 9.09/2.75 | (592) iplus4 = iminus4
% 9.09/2.75 |
% 9.09/2.75 | Simplifying 592 yields:
% 9.09/2.75 | (593) iplus4 = iminus4
% 9.09/2.75 |
% 9.09/2.75 | Equations (593) can reduce 590 to:
% 9.09/2.75 | (145) $false
% 9.09/2.75 |
% 9.09/2.75 |-The branch is then unsatisfiable
% 9.09/2.75 % SZS output end Proof for theBenchmark
% 9.09/2.75
% 9.09/2.75 2132ms
%------------------------------------------------------------------------------