TSTP Solution File: KRS103+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : KRS103+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.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 4.58s 1.76s
% Output : Proof 7.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KRS103+1 : TPTP v8.1.0. Released v3.1.0.
% 0.06/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 17:07:53 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.57 ____ _
% 0.18/0.57 ___ / __ \_____(_)___ ________ __________
% 0.18/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.18/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.18/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.18/0.57
% 0.18/0.57 A Theorem Prover for First-Order Logic
% 0.18/0.57 (ePrincess v.1.0)
% 0.18/0.57
% 0.18/0.57 (c) Philipp Rümmer, 2009-2015
% 0.18/0.57 (c) Peter Backeman, 2014-2015
% 0.18/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.18/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.18/0.57 Bug reports to peter@backeman.se
% 0.18/0.57
% 0.18/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.18/0.57
% 0.18/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.70/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.60/1.02 Prover 0: Preprocessing ...
% 2.24/1.20 Prover 0: Warning: ignoring some quantifiers
% 2.24/1.22 Prover 0: Constructing countermodel ...
% 4.58/1.75 Prover 0: proved (1114ms)
% 4.58/1.75
% 4.58/1.76 No countermodel exists, formula is valid
% 4.58/1.76 % SZS status Unsatisfiable for theBenchmark
% 4.58/1.76
% 4.58/1.76 Generating proof ... Warning: ignoring some quantifiers
% 6.86/2.28 found it (size 439)
% 6.86/2.28
% 6.86/2.28 % SZS output start Proof for theBenchmark
% 6.86/2.28 Assumed formulas after preprocessing and simplification:
% 6.86/2.28 | (0) cTest(i2003_11_14_17_20_46476) & ! [v0] : ( ~ cminus2(v0) | ~ cplus2(v0)) & ! [v0] : ( ~ cminus1(v0) | ~ cplus1(v0)) & ! [v0] : ( ~ cplus4(v0) | ~ cminus4(v0)) & ! [v0] : ( ~ cminus9(v0) | ~ cplus9(v0)) & ! [v0] : ( ~ cplus5(v0) | ~ cminus5(v0)) & ! [v0] : ( ~ cminus7(v0) | ~ cplus7(v0)) & ! [v0] : ( ~ cplus3(v0) | ~ cminus3(v0)) & ! [v0] : ( ~ cplus6(v0) | ~ cminus6(v0)) & ! [v0] : ( ~ cplus8(v0) | ~ cminus8(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus4(v0) | cminus6(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cplus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cplus7(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cminus5(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus7(v0) | cplus6(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus3(v0) | cminus8(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus6(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus3(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus1(v0) | cplus4(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cplus5(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus7(v0) | cminus5(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus4(v0) | cplus8(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus4(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cplus8(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus6(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cminus1(v0) | cplus6(v0) | cminus4(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cminus9(v0) | cplus3(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus6(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus6(v0) | cminus8(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus6(v0) | cminus5(v0)) & ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus7(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cplus3(v0) | cminus5(v0)) & ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cminus4(v0) | cminus8(v0)) & ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cminus6(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus7(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus4(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus8(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cplus3(v0) | cplus8(v0)) & ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cplus6(v0) | cminus8(v0)) & ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cminus4(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cminus6(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus3(v0) | cplus6(v0) | cminus4(v0)) & ! [v0] : ( ~ cTest(v0) | cplus3(v0) | cminus8(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cplus6(v0) | cminus4(v0) | cplus8(v0)) & ! [v0] : ( ~ cTest(v0) | cplus6(v0) | cminus4(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cplus7(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cminus8(v0) | cplus9(v0)) & ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cminus6(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cplus9(v0) | cplus1(v0)) & ! [v0] : ( ~ cTest(v0) | cplus8(v0) | cplus7(v0) | cminus5(v0)) & ! [v0] : ( ~ cTest(v0) | cplus8(v0) | cplus7(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus8(v0) | cminus5(v0) | cminus3(v0)) & ! [v0] : ( ~ cTest(v0) | cminus6(v0) | cplus9(v0) | cplus1(v0)) & ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0)) & ! [v0] : ~ cowlNothing(v0) & ? [v0] : (xsd_integer(v0) | xsd_string(v0)) & ? [v0] : cowlThing(v0)
% 6.86/2.30 | Applying alpha-rule on (0) yields:
% 6.86/2.30 | (1) ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cminus4(v0) | cminus3(v0))
% 6.86/2.30 | (2) ! [v0] : ( ~ cTest(v0) | cplus8(v0) | cplus7(v0) | cminus3(v0))
% 6.86/2.30 | (3) ! [v0] : ( ~ cTest(v0) | cminus1(v0) | cplus6(v0) | cminus4(v0))
% 6.86/2.30 | (4) ! [v0] : ( ~ cTest(v0) | cplus8(v0) | cplus7(v0) | cminus5(v0))
% 6.86/2.30 | (5) ! [v0] : ( ~ cminus2(v0) | ~ cplus2(v0))
% 6.86/2.30 | (6) ! [v0] : ( ~ cplus6(v0) | ~ cminus6(v0))
% 6.86/2.30 | (7) ! [v0] : ( ~ cplus4(v0) | ~ cminus4(v0))
% 6.86/2.30 | (8) ! [v0] : ( ~ cTest(v0) | cplus6(v0) | cminus4(v0) | cminus3(v0))
% 6.86/2.30 | (9) ! [v0] : ( ~ cTest(v0) | cplus6(v0) | cminus4(v0) | cplus8(v0))
% 6.86/2.30 | (10) ! [v0] : ( ~ cTest(v0) | cminus6(v0) | cplus9(v0) | cplus1(v0))
% 6.86/2.30 | (11) ! [v0] : ( ~ cTest(v0) | cminus8(v0) | cminus5(v0) | cminus3(v0))
% 6.86/2.30 | (12) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus4(v0) | cplus1(v0))
% 6.86/2.30 | (13) ! [v0] : ( ~ cplus5(v0) | ~ cminus5(v0))
% 6.86/2.30 | (14) ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus4(v0) | cplus9(v0))
% 6.86/2.30 | (15) ! [v0] : ~ cowlNothing(v0)
% 6.86/2.30 | (16) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cplus3(v0))
% 6.86/2.30 | (17) ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cplus6(v0) | cminus8(v0))
% 6.86/2.31 | (18) ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cplus3(v0) | cplus8(v0))
% 6.86/2.31 | (19) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus6(v0))
% 6.86/2.31 | (20) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus6(v0) | cminus8(v0))
% 6.86/2.31 | (21) ! [v0] : ( ~ cTest(v0) | cminus7(v0) | cminus6(v0) | cplus9(v0))
% 6.86/2.31 | (22) ! [v0] : ( ~ cminus1(v0) | ~ cplus1(v0))
% 6.86/2.31 | (23) ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus8(v0) | cminus3(v0))
% 6.86/2.31 | (24) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cminus9(v0) | cplus3(v0))
% 6.86/2.31 | (25) ! [v0] : ( ~ cTest(v0) | cplus5(v0) | cminus7(v0) | cplus9(v0))
% 6.86/2.31 | (26) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus6(v0) | cminus5(v0))
% 7.17/2.31 | (27) ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cplus7(v0) | cplus9(v0))
% 7.17/2.31 | (28) ! [v0] : ( ~ cTest(v0) | cplus3(v0) | cminus8(v0) | cplus9(v0))
% 7.17/2.31 | (29) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cminus5(v0))
% 7.17/2.31 | (30) ! [v0] : ( ~ cminus9(v0) | ~ cplus9(v0))
% 7.17/2.31 | (31) ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cminus6(v0) | cplus1(v0))
% 7.17/2.31 | (32) ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cminus4(v0) | cminus8(v0))
% 7.17/2.31 | (33) ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cminus6(v0) | cplus1(v0))
% 7.17/2.31 | (34) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus9(v0))
% 7.17/2.31 | (35) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus6(v0) | cplus9(v0))
% 7.17/2.31 | (36) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cplus8(v0) | cminus3(v0))
% 7.17/2.31 | (37) cTest(i2003_11_14_17_20_46476)
% 7.17/2.31 | (38) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus3(v0) | cplus1(v0))
% 7.17/2.31 | (39) ! [v0] : ( ~ cplus3(v0) | ~ cminus3(v0))
% 7.17/2.31 | (40) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus1(v0) | cplus4(v0))
% 7.17/2.31 | (41) ! [v0] : ( ~ cminus7(v0) | ~ cplus7(v0))
% 7.17/2.31 | (42) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cplus5(v0) | cplus9(v0))
% 7.17/2.31 | (43) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus3(v0) | cminus8(v0))
% 7.17/2.31 | (44) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus6(v0) | cplus1(v0))
% 7.17/2.31 | (45) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus9(v0) | cplus7(v0))
% 7.17/2.31 | (46) ? [v0] : (xsd_integer(v0) | xsd_string(v0))
% 7.17/2.31 | (47) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus7(v0) | cminus5(v0))
% 7.17/2.31 | (48) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cminus7(v0) | cplus6(v0))
% 7.17/2.31 | (49) ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cplus9(v0) | cplus1(v0))
% 7.17/2.31 | (50) ! [v0] : ( ~ xsd_integer(v0) | ~ xsd_string(v0))
% 7.17/2.31 | (51) ! [v0] : ( ~ cTest(v0) | cminus2(v0) | cplus4(v0) | cminus6(v0))
% 7.17/2.31 | (52) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus3(v0) | cplus1(v0))
% 7.17/2.31 | (53) ? [v0] : cowlThing(v0)
% 7.17/2.31 | (54) ! [v0] : ( ~ cTest(v0) | cplus2(v0) | cminus4(v0) | cplus8(v0))
% 7.17/2.31 | (55) ! [v0] : ( ~ cTest(v0) | cminus9(v0) | cplus3(v0) | cminus5(v0))
% 7.17/2.31 | (56) ! [v0] : ( ~ cTest(v0) | cplus3(v0) | cplus6(v0) | cminus4(v0))
% 7.17/2.31 | (57) ! [v0] : ( ~ cTest(v0) | cminus4(v0) | cminus8(v0) | cplus9(v0))
% 7.17/2.32 | (58) ! [v0] : ( ~ cplus8(v0) | ~ cminus8(v0))
% 7.17/2.32 | (59) ! [v0] : ( ~ cTest(v0) | cplus4(v0) | cplus7(v0) | cplus1(v0))
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (51) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (60) cminus2(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (16) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (61) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (45) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (62) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (29) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (63) cminus2(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (48) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (64) cminus2(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (43) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (65) cminus2(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (35) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (66) cminus2(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (38) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (67) cminus2(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (40) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (68) cplus2(i2003_11_14_17_20_46476) | cminus1(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (54) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (69) cplus2(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (12) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (70) cplus2(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (36) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (71) cplus2(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (44) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (72) cplus2(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (3) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (73) cminus1(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (24) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (74) cplus4(i2003_11_14_17_20_46476) | cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (19) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (75) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (34) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (76) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (52) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (77) cplus4(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (20) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (78) cplus4(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (26) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (79) cplus4(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (59) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (80) cplus4(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (55) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (81) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (32) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (82) cminus9(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (31) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (83) cminus9(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (25) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (84) cplus5(i2003_11_14_17_20_46476) | cminus7(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (14) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (85) cplus5(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.32 |
% 7.17/2.32 | Instantiating formula (18) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.32 | (86) cminus7(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (17) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (87) cminus7(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (1) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (88) cminus7(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (21) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (89) cminus7(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (28) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (90) cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (8) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (91) cplus6(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (27) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (92) cminus4(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (57) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (93) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (33) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (94) cminus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (49) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (95) cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (4) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (96) cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (2) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (97) cplus8(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (11) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (98) cminus8(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (10) with i2003_11_14_17_20_46476 and discharging atoms cTest(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (99) cminus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (61), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (99), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (70), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (5) with i2003_11_14_17_20_46476 and discharging atoms cminus2(i2003_11_14_17_20_46476), cplus2(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (103) $false
% 7.17/2.33 |
% 7.17/2.33 |-The branch is then unsatisfiable
% 7.17/2.33 |-Branch two:
% 7.17/2.33 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.33 | (105) cminus4(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (77), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (73), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (107) cminus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (93), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (103) $false
% 7.17/2.33 |
% 7.17/2.33 |-The branch is then unsatisfiable
% 7.17/2.33 |-Branch two:
% 7.17/2.33 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 | (111) cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (105), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Using (108) and (110) yields:
% 7.17/2.33 | (103) $false
% 7.17/2.33 |
% 7.17/2.33 |-The branch is then unsatisfiable
% 7.17/2.33 |-Branch two:
% 7.17/2.33 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (22) with i2003_11_14_17_20_46476 and discharging atoms cminus1(i2003_11_14_17_20_46476), cplus1(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (103) $false
% 7.17/2.33 |
% 7.17/2.33 |-The branch is then unsatisfiable
% 7.17/2.33 |-Branch two:
% 7.17/2.33 | (117) ~ cminus1(i2003_11_14_17_20_46476)
% 7.17/2.33 | (118) cplus6(i2003_11_14_17_20_46476) | cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 +-Applying beta-rule and splitting (95), into two cases.
% 7.17/2.33 |-Branch one:
% 7.17/2.33 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.33 |
% 7.17/2.33 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.33 | (103) $false
% 7.17/2.33 |
% 7.17/2.33 |-The branch is then unsatisfiable
% 7.17/2.33 |-Branch two:
% 7.17/2.34 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.34 | (122) cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (118), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.17/2.34 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (108) and (110) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 | (129) cplus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (68), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (102) and (104) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.34 | (133) cminus1(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (133), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (107) cminus1(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (90), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (96), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (80), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (106) and (128) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 | (140) cplus7(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (78), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (106) and (128) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.34 | (144) cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (98), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Instantiating formula (58) with i2003_11_14_17_20_46476 and discharging atoms cplus8(i2003_11_14_17_20_46476), cminus8(i2003_11_14_17_20_46476), yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.17/2.34 | (148) cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (144), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.17/2.34 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (145) and (147) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.17/2.34 | (155) cplus7(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (71), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 | Using (102) and (104) yields:
% 7.17/2.34 | (103) $false
% 7.17/2.34 |
% 7.17/2.34 |-The branch is then unsatisfiable
% 7.17/2.34 |-Branch two:
% 7.17/2.34 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.34 | (159) cplus8(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.34 +-Applying beta-rule and splitting (159), into two cases.
% 7.17/2.34 |-Branch one:
% 7.17/2.34 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.17/2.34 |
% 7.17/2.35 | Using (136) and (154) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.17/2.35 | (163) cminus3(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (39) with i2003_11_14_17_20_46476 and discharging atoms cplus3(i2003_11_14_17_20_46476), cminus3(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.35 | (111) cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (76), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (106) and (128) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 | (170) cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (75), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (106) and (128) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 | (174) cplus3(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (174), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (135) and (165) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.35 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (129), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (135) and (165) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.35 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (22) with i2003_11_14_17_20_46476 and discharging atoms cminus1(i2003_11_14_17_20_46476), cplus1(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (117) ~ cminus1(i2003_11_14_17_20_46476)
% 7.17/2.35 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (106) and (128) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.17/2.35 | (122) cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (72), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (5) with i2003_11_14_17_20_46476 and discharging atoms cminus2(i2003_11_14_17_20_46476), cplus2(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.35 | (192) cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (192), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (101) and (187) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.17/2.35 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (75), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (96), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (93), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.35 | (111) cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (81), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (98), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (58) with i2003_11_14_17_20_46476 and discharging atoms cplus8(i2003_11_14_17_20_46476), cminus8(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.17/2.35 | (148) cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (111), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Using (145) and (147) yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.17/2.35 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.17/2.35 | (103) $false
% 7.17/2.35 |
% 7.17/2.35 |-The branch is then unsatisfiable
% 7.17/2.35 |-Branch two:
% 7.17/2.35 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.35 | (214) cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.35 +-Applying beta-rule and splitting (82), into two cases.
% 7.17/2.35 |-Branch one:
% 7.17/2.35 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.35 |
% 7.17/2.36 | Using (203) and (213) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.36 | (218) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (218), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (108) and (110) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (58) with i2003_11_14_17_20_46476 and discharging atoms cplus8(i2003_11_14_17_20_46476), cminus8(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.17/2.36 | (155) cplus7(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (69), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (102) and (104) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (229) cminus4(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (229), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (136) and (154) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (174) cplus3(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (68), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (102) cplus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (102) and (104) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (104) ~ cplus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (133) cminus1(i2003_11_14_17_20_46476) | cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (133), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (107) cminus1(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (22) with i2003_11_14_17_20_46476 and discharging atoms cminus1(i2003_11_14_17_20_46476), cplus1(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (117) ~ cminus1(i2003_11_14_17_20_46476)
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (106) and (128) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (247) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (94), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (67), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (100) and (246) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (252) cminus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (97), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (99), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (75), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (174) cplus3(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (80), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (106) and (128) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (140) cplus7(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (98), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (58) with i2003_11_14_17_20_46476 and discharging atoms cplus8(i2003_11_14_17_20_46476), cminus8(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 | (148) cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (78), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (106) and (128) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (144) cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (144), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.17/2.36 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (145) and (147) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.17/2.36 | (122) cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (60), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (100) and (246) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (281) cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (281), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (101) and (187) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.17/2.36 | (288) cplus7(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (65), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (100) and (246) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (292) cplus3(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (84), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (293) cplus5(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (62), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Using (100) and (246) yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.36 | (297) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (99), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 +-Applying beta-rule and splitting (74), into two cases.
% 7.17/2.36 |-Branch one:
% 7.17/2.36 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 |
% 7.17/2.36 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.36 | (103) $false
% 7.17/2.36 |
% 7.17/2.36 |-The branch is then unsatisfiable
% 7.17/2.36 |-Branch two:
% 7.17/2.36 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.36 | (247) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (63), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (306) cminus9(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (79), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (310) cplus6(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (81), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (66), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (315) cplus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (310), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 | (319) cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (315), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (123) and (125) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 | (214) cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (247), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (203) and (213) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (297), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (203) and (213) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (306), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (203) and (213) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 | (319) cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (13) with i2003_11_14_17_20_46476 and discharging atoms cplus5(i2003_11_14_17_20_46476), cminus5(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.17/2.37 | (122) cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (60), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (281) cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (281), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (101) and (187) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (351) ~ cplus5(i2003_11_14_17_20_46476)
% 7.17/2.37 | (352) cminus7(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (80), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (7) with i2003_11_14_17_20_46476 and discharging atoms cplus4(i2003_11_14_17_20_46476), cminus4(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (140) cplus7(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (60), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (281) cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (281), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (74), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (247) cminus9(i2003_11_14_17_20_46476) | cplus3(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (64), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (372) cminus7(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (75), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (174) cplus3(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (66), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (100) and (246) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.37 | (315) cplus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (77), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (129) cplus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (78), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (144) cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (79), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (310) cplus6(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (76), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (106) cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Using (106) and (128) yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (128) ~ cplus4(i2003_11_14_17_20_46476)
% 7.17/2.37 | (170) cplus3(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (81), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (86), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (90), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (252), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (163) cminus3(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 | Instantiating formula (39) with i2003_11_14_17_20_46476 and discharging atoms cplus3(i2003_11_14_17_20_46476), cminus3(i2003_11_14_17_20_46476), yields:
% 7.17/2.37 | (103) $false
% 7.17/2.37 |
% 7.17/2.37 |-The branch is then unsatisfiable
% 7.17/2.37 |-Branch two:
% 7.17/2.37 | (402) ~ cminus3(i2003_11_14_17_20_46476)
% 7.17/2.37 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.37 +-Applying beta-rule and splitting (288), into two cases.
% 7.17/2.37 |-Branch one:
% 7.17/2.37 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.17/2.37 |
% 7.17/2.38 | Instantiating formula (41) with i2003_11_14_17_20_46476 and discharging atoms cminus7(i2003_11_14_17_20_46476), cplus7(i2003_11_14_17_20_46476), yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (406) ~ cplus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (163) cminus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (163) and (402) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 | (111) cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (292), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (135) and (165) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (174), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (135) and (165) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (129), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (135) and (165) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (170), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (135) and (165) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (165) ~ cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (429) cplus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (352), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (398) and (428) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.38 | (214) cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (63), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (100) and (246) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.38 | (306) cminus9(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (62), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (100) and (246) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.17/2.38 | (297) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (247), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (203) and (213) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.38 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (297), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (203) and (213) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.17/2.38 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (87), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Instantiating formula (41) with i2003_11_14_17_20_46476 and discharging atoms cminus7(i2003_11_14_17_20_46476), cplus7(i2003_11_14_17_20_46476), yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (144) cplus6(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (352), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (398) and (428) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 +-Applying beta-rule and splitting (372), into two cases.
% 7.17/2.38 |-Branch one:
% 7.17/2.38 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Using (398) and (428) yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.17/2.38 |-Branch two:
% 7.17/2.38 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.17/2.38 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.17/2.38 |
% 7.17/2.38 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.17/2.38 | (103) $false
% 7.17/2.38 |
% 7.17/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.52/2.38 | (192) cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (85), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (293) cplus5(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (67), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Using (100) and (246) yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.38 | (252) cminus3(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (82), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (99), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (66), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Using (100) and (246) yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.38 | (315) cplus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (91), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Instantiating formula (6) with i2003_11_14_17_20_46476 and discharging atoms cplus6(i2003_11_14_17_20_46476), cminus6(i2003_11_14_17_20_46476), yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.52/2.38 | (482) cminus4(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (315), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (123) cplus6(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Using (123) and (125) yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (125) ~ cplus6(i2003_11_14_17_20_46476)
% 7.52/2.38 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.52/2.38 | (122) cplus9(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (192), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 | Using (101) and (187) yields:
% 7.52/2.38 | (103) $false
% 7.52/2.38 |
% 7.52/2.38 |-The branch is then unsatisfiable
% 7.52/2.38 |-Branch two:
% 7.52/2.38 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.52/2.38 | (115) cplus1(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (97), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.38 +-Applying beta-rule and splitting (98), into two cases.
% 7.52/2.38 |-Branch one:
% 7.52/2.38 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.52/2.38 |
% 7.52/2.39 | Instantiating formula (58) with i2003_11_14_17_20_46476 and discharging atoms cplus8(i2003_11_14_17_20_46476), cminus8(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.52/2.39 | (148) cminus5(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (93), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (108) and (110) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 | (111) cminus8(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (111), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (145) cminus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (145) and (147) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (147) ~ cminus8(i2003_11_14_17_20_46476)
% 7.52/2.39 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.52/2.39 | (288) cplus7(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (96), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (136) cplus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (136) and (154) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (154) ~ cplus8(i2003_11_14_17_20_46476)
% 7.52/2.39 | (155) cplus7(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (88), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (92), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (108) and (110) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 | (518) cplus7(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (288), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (41) with i2003_11_14_17_20_46476 and discharging atoms cminus7(i2003_11_14_17_20_46476), cplus7(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (406) ~ cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (163) cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (155), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (334) and (406) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (406) ~ cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (319) cminus5(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (518), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (334) and (406) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (406) ~ cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (482) cminus4(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (86), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (398) and (428) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (429) cplus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (89), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (398) and (428) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (541) cminus6(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (541), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (101) cminus6(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (101) and (187) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (187) ~ cminus6(i2003_11_14_17_20_46476)
% 7.52/2.39 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (218) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (63), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (100) and (246) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 | (306) cminus9(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (247), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (203) and (213) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (306), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (203) and (213) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (319) cminus5(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (13) with i2003_11_14_17_20_46476 and discharging atoms cplus5(i2003_11_14_17_20_46476), cminus5(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (351) ~ cplus5(i2003_11_14_17_20_46476)
% 7.52/2.39 | (563) cminus4(i2003_11_14_17_20_46476) | cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (563), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (108) and (110) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 | (211) cplus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (86), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (62), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (100) and (246) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 | (297) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (83), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (192) cminus6(i2003_11_14_17_20_46476) | cplus1(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (82), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (203) and (213) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (218) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (297), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (203) and (213) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.39 | (334) cplus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Instantiating formula (41) with i2003_11_14_17_20_46476 and discharging atoms cminus7(i2003_11_14_17_20_46476), cplus7(i2003_11_14_17_20_46476), yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (429) cplus3(i2003_11_14_17_20_46476) | cplus8(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (88), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (398) cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (398) and (428) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (428) ~ cminus7(i2003_11_14_17_20_46476)
% 7.52/2.39 | (482) cminus4(i2003_11_14_17_20_46476) | cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (64), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (100) and (246) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 | (372) cminus7(i2003_11_14_17_20_46476) | cplus6(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (482), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (108) cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (108) and (110) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (110) ~ cminus4(i2003_11_14_17_20_46476)
% 7.52/2.39 | (163) cminus3(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 +-Applying beta-rule and splitting (60), into two cases.
% 7.52/2.39 |-Branch one:
% 7.52/2.39 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 |
% 7.52/2.39 | Using (100) and (246) yields:
% 7.52/2.39 | (103) $false
% 7.52/2.39 |
% 7.52/2.39 |-The branch is then unsatisfiable
% 7.52/2.39 |-Branch two:
% 7.52/2.39 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.39 | (281) cplus4(i2003_11_14_17_20_46476) | cminus6(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (81), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Instantiating formula (30) with i2003_11_14_17_20_46476 and discharging atoms cminus9(i2003_11_14_17_20_46476), cplus9(i2003_11_14_17_20_46476), yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 | (214) cplus3(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (62), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Using (100) and (246) yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.40 | (297) cminus9(i2003_11_14_17_20_46476) | cplus7(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (63), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (100) cminus2(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Using (100) and (246) yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (246) ~ cminus2(i2003_11_14_17_20_46476)
% 7.52/2.40 | (306) cminus9(i2003_11_14_17_20_46476) | cminus5(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (306), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Using (203) and (213) yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 | (319) cminus5(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (82), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Using (203) and (213) yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 | (218) cminus4(i2003_11_14_17_20_46476) | cminus8(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 +-Applying beta-rule and splitting (247), into two cases.
% 7.52/2.40 |-Branch one:
% 7.52/2.40 | (203) cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Using (203) and (213) yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 |-Branch two:
% 7.52/2.40 | (213) ~ cminus9(i2003_11_14_17_20_46476)
% 7.52/2.40 | (135) cplus3(i2003_11_14_17_20_46476)
% 7.52/2.40 |
% 7.52/2.40 | Instantiating formula (39) with i2003_11_14_17_20_46476 and discharging atoms cplus3(i2003_11_14_17_20_46476), cminus3(i2003_11_14_17_20_46476), yields:
% 7.52/2.40 | (103) $false
% 7.52/2.40 |
% 7.52/2.40 |-The branch is then unsatisfiable
% 7.52/2.40 % SZS output end Proof for theBenchmark
% 7.52/2.40
% 7.52/2.40 1814ms
%------------------------------------------------------------------------------