TSTP Solution File: SYN350+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN350+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 05:01:40 EDT 2022
% Result : Theorem 4.23s 1.68s
% Output : Proof 7.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN350+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n022.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
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 11:42:25 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.50/0.58 ____ _
% 0.50/0.58 ___ / __ \_____(_)___ ________ __________
% 0.50/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.58
% 0.50/0.58 A Theorem Prover for First-Order Logic
% 0.50/0.59 (ePrincess v.1.0)
% 0.50/0.59
% 0.50/0.59 (c) Philipp Rümmer, 2009-2015
% 0.50/0.59 (c) Peter Backeman, 2014-2015
% 0.50/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.59 Bug reports to peter@backeman.se
% 0.50/0.59
% 0.50/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.59
% 0.50/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.15/0.89 Prover 0: Preprocessing ...
% 1.15/0.93 Prover 0: Warning: ignoring some quantifiers
% 1.35/0.94 Prover 0: Constructing countermodel ...
% 1.44/1.04 Prover 0: gave up
% 1.44/1.04 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.62/1.06 Prover 1: Preprocessing ...
% 1.75/1.11 Prover 1: Constructing countermodel ...
% 1.75/1.12 Prover 1: gave up
% 1.75/1.12 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.93/1.13 Prover 2: Preprocessing ...
% 1.93/1.15 Prover 2: Warning: ignoring some quantifiers
% 1.93/1.16 Prover 2: Constructing countermodel ...
% 2.10/1.18 Prover 2: gave up
% 2.10/1.18 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.10/1.18 Prover 3: Preprocessing ...
% 2.10/1.19 Prover 3: Warning: ignoring some quantifiers
% 2.10/1.19 Prover 3: Constructing countermodel ...
% 2.10/1.21 Prover 3: gave up
% 2.10/1.21 Prover 4: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=complete
% 2.10/1.22 Prover 4: Preprocessing ...
% 2.35/1.24 Prover 4: Warning: ignoring some quantifiers
% 2.35/1.24 Prover 4: Constructing countermodel ...
% 4.23/1.68 Prover 4: proved (473ms)
% 4.23/1.68
% 4.23/1.68 No countermodel exists, formula is valid
% 4.23/1.68 % SZS status Theorem for theBenchmark
% 4.23/1.68
% 4.23/1.68 Generating proof ... Warning: ignoring some quantifiers
% 7.48/2.49 found it (size 35)
% 7.48/2.49
% 7.48/2.49 % SZS output start Proof for theBenchmark
% 7.48/2.49 Assumed formulas after preprocessing and simplification:
% 7.48/2.49 | (0) ? [v0] : ? [v1] : ( ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = v2 | ~ (big_f(v5, v4) = v3) | ~ (big_f(v5, v4) = v2)) & ! [v2] : ! [v3] : ! [v4] : ( ~ (big_f(v2, v3) = v4) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (big_f(v5, v1) = v7 & big_f(v3, v5) = v8 & big_f(v2, v5) = v9 & big_f(v1, v5) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v9 = 0 & ~ (v4 = 0))) & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0) & (v6 = 0 | (v8 = 0 & ( ~ (v9 = 0) | v4 = 0))))) & ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : (big_f(v5, v0) = v7 & big_f(v3, v5) = v8 & big_f(v2, v5) = v9 & big_f(v2, v3) = v4 & big_f(v0, v5) = v6 & ( ~ (v8 = 0) | ~ (v6 = 0) | (v9 = 0 & ~ (v4 = 0))) & ( ~ (v7 = 0) | v6 = 0) & ( ~ (v6 = 0) | v7 = 0) & (v6 = 0 | (v8 = 0 & ( ~ (v9 = 0) | v4 = 0)))))
% 7.48/2.52 | Instantiating (0) with all_0_0_0, all_0_1_1 yields:
% 7.48/2.52 | (1) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (big_f(v3, v2) = v1) | ~ (big_f(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (big_f(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (big_f(v3, all_0_0_0) = v5 & big_f(v1, v3) = v6 & big_f(v0, v3) = v7 & big_f(all_0_0_0, v3) = v4 & ( ~ (v6 = 0) | ~ (v4 = 0) | (v7 = 0 & ~ (v2 = 0))) & ( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0) & (v4 = 0 | (v6 = 0 & ( ~ (v7 = 0) | v2 = 0))))) & ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (big_f(v3, all_0_1_1) = v5 & big_f(v1, v3) = v6 & big_f(v0, v3) = v7 & big_f(v0, v1) = v2 & big_f(all_0_1_1, v3) = v4 & ( ~ (v6 = 0) | ~ (v4 = 0) | (v7 = 0 & ~ (v2 = 0))) & ( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0) & (v4 = 0 | (v6 = 0 & ( ~ (v7 = 0) | v2 = 0))))
% 7.48/2.52 |
% 7.48/2.52 | Applying alpha-rule on (1) yields:
% 7.48/2.52 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (big_f(v3, v2) = v1) | ~ (big_f(v3, v2) = v0))
% 7.48/2.52 | (3) ! [v0] : ! [v1] : ! [v2] : ( ~ (big_f(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (big_f(v3, all_0_0_0) = v5 & big_f(v1, v3) = v6 & big_f(v0, v3) = v7 & big_f(all_0_0_0, v3) = v4 & ( ~ (v6 = 0) | ~ (v4 = 0) | (v7 = 0 & ~ (v2 = 0))) & ( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0) & (v4 = 0 | (v6 = 0 & ( ~ (v7 = 0) | v2 = 0)))))
% 7.48/2.52 | (4) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (big_f(v3, all_0_1_1) = v5 & big_f(v1, v3) = v6 & big_f(v0, v3) = v7 & big_f(v0, v1) = v2 & big_f(all_0_1_1, v3) = v4 & ( ~ (v6 = 0) | ~ (v4 = 0) | (v7 = 0 & ~ (v2 = 0))) & ( ~ (v5 = 0) | v4 = 0) & ( ~ (v4 = 0) | v5 = 0) & (v4 = 0 | (v6 = 0 & ( ~ (v7 = 0) | v2 = 0))))
% 7.48/2.53 |
% 7.48/2.53 | Instantiating (4) with all_2_0_2, all_2_1_3, all_2_2_4, all_2_3_5, all_2_4_6, all_2_5_7, all_2_6_8, all_2_7_9 yields:
% 7.48/2.53 | (5) big_f(all_2_4_6, all_0_1_1) = all_2_2_4 & big_f(all_2_6_8, all_2_4_6) = all_2_1_3 & big_f(all_2_7_9, all_2_4_6) = all_2_0_2 & big_f(all_2_7_9, all_2_6_8) = all_2_5_7 & big_f(all_0_1_1, all_2_4_6) = all_2_3_5 & ( ~ (all_2_1_3 = 0) | ~ (all_2_3_5 = 0) | (all_2_0_2 = 0 & ~ (all_2_5_7 = 0))) & ( ~ (all_2_2_4 = 0) | all_2_3_5 = 0) & ( ~ (all_2_3_5 = 0) | all_2_2_4 = 0) & (all_2_3_5 = 0 | (all_2_1_3 = 0 & ( ~ (all_2_0_2 = 0) | all_2_5_7 = 0)))
% 7.48/2.53 |
% 7.48/2.53 | Applying alpha-rule on (5) yields:
% 7.48/2.53 | (6) big_f(all_2_4_6, all_0_1_1) = all_2_2_4
% 7.48/2.53 | (7) all_2_3_5 = 0 | (all_2_1_3 = 0 & ( ~ (all_2_0_2 = 0) | all_2_5_7 = 0))
% 7.48/2.53 | (8) ~ (all_2_3_5 = 0) | all_2_2_4 = 0
% 7.48/2.53 | (9) ~ (all_2_2_4 = 0) | all_2_3_5 = 0
% 7.48/2.53 | (10) big_f(all_2_7_9, all_2_4_6) = all_2_0_2
% 7.48/2.53 | (11) big_f(all_2_6_8, all_2_4_6) = all_2_1_3
% 7.48/2.53 | (12) big_f(all_2_7_9, all_2_6_8) = all_2_5_7
% 7.48/2.53 | (13) ~ (all_2_1_3 = 0) | ~ (all_2_3_5 = 0) | (all_2_0_2 = 0 & ~ (all_2_5_7 = 0))
% 7.48/2.53 | (14) big_f(all_0_1_1, all_2_4_6) = all_2_3_5
% 7.48/2.53 |
% 7.48/2.53 | Instantiating formula (3) with all_2_0_2, all_2_4_6, all_2_7_9 and discharging atoms big_f(all_2_7_9, all_2_4_6) = all_2_0_2, yields:
% 7.48/2.53 | (15) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (big_f(v0, all_0_0_0) = v2 & big_f(all_2_4_6, v0) = v3 & big_f(all_2_7_9, v0) = v4 & big_f(all_0_0_0, v0) = v1 & ( ~ (v3 = 0) | ~ (v1 = 0) | (v4 = 0 & ~ (all_2_0_2 = 0))) & ( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0) & (v1 = 0 | (v3 = 0 & ( ~ (v4 = 0) | all_2_0_2 = 0))))
% 7.48/2.53 |
% 7.48/2.53 | Instantiating (15) with all_13_0_20, all_13_1_21, all_13_2_22, all_13_3_23, all_13_4_24 yields:
% 7.48/2.53 | (16) big_f(all_13_4_24, all_0_0_0) = all_13_2_22 & big_f(all_2_4_6, all_13_4_24) = all_13_1_21 & big_f(all_2_7_9, all_13_4_24) = all_13_0_20 & big_f(all_0_0_0, all_13_4_24) = all_13_3_23 & ( ~ (all_13_1_21 = 0) | ~ (all_13_3_23 = 0) | (all_13_0_20 = 0 & ~ (all_2_0_2 = 0))) & ( ~ (all_13_2_22 = 0) | all_13_3_23 = 0) & ( ~ (all_13_3_23 = 0) | all_13_2_22 = 0) & (all_13_3_23 = 0 | (all_13_1_21 = 0 & ( ~ (all_13_0_20 = 0) | all_2_0_2 = 0)))
% 7.48/2.53 |
% 7.48/2.53 | Applying alpha-rule on (16) yields:
% 7.48/2.53 | (17) all_13_3_23 = 0 | (all_13_1_21 = 0 & ( ~ (all_13_0_20 = 0) | all_2_0_2 = 0))
% 7.48/2.53 | (18) big_f(all_0_0_0, all_13_4_24) = all_13_3_23
% 7.48/2.53 | (19) ~ (all_13_1_21 = 0) | ~ (all_13_3_23 = 0) | (all_13_0_20 = 0 & ~ (all_2_0_2 = 0))
% 7.48/2.53 | (20) big_f(all_13_4_24, all_0_0_0) = all_13_2_22
% 7.48/2.53 | (21) big_f(all_2_7_9, all_13_4_24) = all_13_0_20
% 7.48/2.53 | (22) ~ (all_13_2_22 = 0) | all_13_3_23 = 0
% 7.48/2.53 | (23) big_f(all_2_4_6, all_13_4_24) = all_13_1_21
% 7.48/2.53 | (24) ~ (all_13_3_23 = 0) | all_13_2_22 = 0
% 7.48/2.53 |
% 7.48/2.53 | Instantiating formula (3) with all_13_2_22, all_0_0_0, all_13_4_24 and discharging atoms big_f(all_13_4_24, all_0_0_0) = all_13_2_22, yields:
% 7.48/2.53 | (25) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (big_f(v0, all_0_0_0) = v2 & big_f(all_13_4_24, v0) = v4 & big_f(all_0_0_0, v0) = v3 & big_f(all_0_0_0, v0) = v1 & ( ~ (v3 = 0) | ~ (v1 = 0) | (v4 = 0 & ~ (all_13_2_22 = 0))) & ( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0) & (v1 = 0 | (v3 = 0 & ( ~ (v4 = 0) | all_13_2_22 = 0))))
% 7.48/2.53 |
% 7.48/2.53 | Instantiating (25) with all_58_0_120, all_58_1_121, all_58_2_122, all_58_3_123, all_58_4_124 yields:
% 7.48/2.53 | (26) big_f(all_58_4_124, all_0_0_0) = all_58_2_122 & big_f(all_13_4_24, all_58_4_124) = all_58_0_120 & big_f(all_0_0_0, all_58_4_124) = all_58_1_121 & big_f(all_0_0_0, all_58_4_124) = all_58_3_123 & ( ~ (all_58_1_121 = 0) | ~ (all_58_3_123 = 0) | (all_58_0_120 = 0 & ~ (all_13_2_22 = 0))) & ( ~ (all_58_2_122 = 0) | all_58_3_123 = 0) & ( ~ (all_58_3_123 = 0) | all_58_2_122 = 0) & (all_58_3_123 = 0 | (all_58_1_121 = 0 & ( ~ (all_58_0_120 = 0) | all_13_2_22 = 0)))
% 7.48/2.53 |
% 7.48/2.53 | Applying alpha-rule on (26) yields:
% 7.48/2.53 | (27) all_58_3_123 = 0 | (all_58_1_121 = 0 & ( ~ (all_58_0_120 = 0) | all_13_2_22 = 0))
% 7.48/2.54 | (28) big_f(all_0_0_0, all_58_4_124) = all_58_1_121
% 7.48/2.54 | (29) ~ (all_58_3_123 = 0) | all_58_2_122 = 0
% 7.48/2.54 | (30) ~ (all_58_2_122 = 0) | all_58_3_123 = 0
% 7.48/2.54 | (31) big_f(all_0_0_0, all_58_4_124) = all_58_3_123
% 7.48/2.54 | (32) big_f(all_13_4_24, all_58_4_124) = all_58_0_120
% 7.48/2.54 | (33) big_f(all_58_4_124, all_0_0_0) = all_58_2_122
% 7.48/2.54 | (34) ~ (all_58_1_121 = 0) | ~ (all_58_3_123 = 0) | (all_58_0_120 = 0 & ~ (all_13_2_22 = 0))
% 7.48/2.54 |
% 7.48/2.54 | Instantiating formula (2) with all_0_0_0, all_58_4_124, all_58_3_123, all_58_1_121 and discharging atoms big_f(all_0_0_0, all_58_4_124) = all_58_1_121, big_f(all_0_0_0, all_58_4_124) = all_58_3_123, yields:
% 7.48/2.54 | (35) all_58_1_121 = all_58_3_123
% 7.48/2.54 |
% 7.48/2.54 +-Applying beta-rule and splitting (27), into two cases.
% 7.48/2.54 |-Branch one:
% 7.48/2.54 | (36) all_58_3_123 = 0
% 7.48/2.54 |
% 7.48/2.54 +-Applying beta-rule and splitting (29), into two cases.
% 7.48/2.54 |-Branch one:
% 7.48/2.54 | (37) ~ (all_58_3_123 = 0)
% 7.48/2.54 |
% 7.48/2.54 | Equations (36) can reduce 37 to:
% 7.48/2.54 | (38) $false
% 7.48/2.54 |
% 7.48/2.54 |-The branch is then unsatisfiable
% 7.48/2.54 |-Branch two:
% 7.48/2.54 | (36) all_58_3_123 = 0
% 7.48/2.54 | (40) all_58_2_122 = 0
% 7.48/2.54 |
% 7.48/2.54 | From (40) and (33) follows:
% 7.48/2.54 | (41) big_f(all_58_4_124, all_0_0_0) = 0
% 7.48/2.54 |
% 7.48/2.54 | Instantiating formula (3) with 0, all_0_0_0, all_58_4_124 and discharging atoms big_f(all_58_4_124, all_0_0_0) = 0, yields:
% 7.48/2.54 | (42) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (big_f(v0, all_0_0_0) = v2 & big_f(all_58_4_124, v0) = v4 & big_f(all_0_0_0, v0) = v3 & big_f(all_0_0_0, v0) = v1 & ( ~ (v3 = 0) | ~ (v1 = 0)) & ( ~ (v2 = 0) | v1 = 0) & ( ~ (v1 = 0) | v2 = 0) & (v3 = 0 | v1 = 0))
% 7.48/2.54 |
% 7.48/2.54 | Instantiating (42) with all_295_0_390, all_295_1_391, all_295_2_392, all_295_3_393, all_295_4_394 yields:
% 7.48/2.54 | (43) big_f(all_295_4_394, all_0_0_0) = all_295_2_392 & big_f(all_58_4_124, all_295_4_394) = all_295_0_390 & big_f(all_0_0_0, all_295_4_394) = all_295_1_391 & big_f(all_0_0_0, all_295_4_394) = all_295_3_393 & ( ~ (all_295_1_391 = 0) | ~ (all_295_3_393 = 0)) & ( ~ (all_295_2_392 = 0) | all_295_3_393 = 0) & ( ~ (all_295_3_393 = 0) | all_295_2_392 = 0) & (all_295_1_391 = 0 | all_295_3_393 = 0)
% 7.48/2.54 |
% 7.48/2.54 | Applying alpha-rule on (43) yields:
% 7.48/2.54 | (44) all_295_1_391 = 0 | all_295_3_393 = 0
% 7.48/2.54 | (45) ~ (all_295_1_391 = 0) | ~ (all_295_3_393 = 0)
% 7.48/2.54 | (46) big_f(all_58_4_124, all_295_4_394) = all_295_0_390
% 7.48/2.54 | (47) ~ (all_295_3_393 = 0) | all_295_2_392 = 0
% 7.48/2.54 | (48) big_f(all_295_4_394, all_0_0_0) = all_295_2_392
% 7.48/2.54 | (49) big_f(all_0_0_0, all_295_4_394) = all_295_3_393
% 7.48/2.54 | (50) ~ (all_295_2_392 = 0) | all_295_3_393 = 0
% 7.48/2.54 | (51) big_f(all_0_0_0, all_295_4_394) = all_295_1_391
% 7.48/2.54 |
% 7.48/2.54 | Instantiating formula (2) with all_0_0_0, all_295_4_394, all_295_3_393, all_295_1_391 and discharging atoms big_f(all_0_0_0, all_295_4_394) = all_295_1_391, big_f(all_0_0_0, all_295_4_394) = all_295_3_393, yields:
% 7.48/2.54 | (52) all_295_1_391 = all_295_3_393
% 7.48/2.54 |
% 7.48/2.54 +-Applying beta-rule and splitting (44), into two cases.
% 7.48/2.54 |-Branch one:
% 7.48/2.54 | (53) all_295_1_391 = 0
% 7.48/2.54 |
% 7.48/2.54 | Combining equations (53,52) yields a new equation:
% 7.48/2.54 | (54) all_295_3_393 = 0
% 7.48/2.54 |
% 7.48/2.54 | Combining equations (54,52) yields a new equation:
% 7.48/2.54 | (53) all_295_1_391 = 0
% 7.48/2.54 |
% 7.48/2.54 +-Applying beta-rule and splitting (45), into two cases.
% 7.48/2.54 |-Branch one:
% 7.48/2.54 | (56) ~ (all_295_1_391 = 0)
% 7.48/2.54 |
% 7.48/2.54 | Equations (53) can reduce 56 to:
% 7.48/2.54 | (38) $false
% 7.48/2.54 |
% 7.48/2.54 |-The branch is then unsatisfiable
% 7.48/2.54 |-Branch two:
% 7.48/2.54 | (53) all_295_1_391 = 0
% 7.48/2.54 | (59) ~ (all_295_3_393 = 0)
% 7.48/2.54 |
% 7.48/2.54 | Equations (54) can reduce 59 to:
% 7.48/2.54 | (38) $false
% 7.48/2.54 |
% 7.48/2.54 |-The branch is then unsatisfiable
% 7.48/2.54 |-Branch two:
% 7.48/2.54 | (56) ~ (all_295_1_391 = 0)
% 7.48/2.54 | (54) all_295_3_393 = 0
% 7.48/2.54 |
% 7.48/2.54 | Combining equations (54,52) yields a new equation:
% 7.48/2.54 | (53) all_295_1_391 = 0
% 7.48/2.54 |
% 7.48/2.54 | Equations (53) can reduce 56 to:
% 7.48/2.54 | (38) $false
% 7.48/2.54 |
% 7.48/2.54 |-The branch is then unsatisfiable
% 7.48/2.54 |-Branch two:
% 7.48/2.54 | (37) ~ (all_58_3_123 = 0)
% 7.48/2.54 | (66) all_58_1_121 = 0 & ( ~ (all_58_0_120 = 0) | all_13_2_22 = 0)
% 7.48/2.54 |
% 7.48/2.54 | Applying alpha-rule on (66) yields:
% 7.48/2.54 | (67) all_58_1_121 = 0
% 7.48/2.54 | (68) ~ (all_58_0_120 = 0) | all_13_2_22 = 0
% 7.48/2.54 |
% 7.48/2.54 | Combining equations (67,35) yields a new equation:
% 7.48/2.54 | (36) all_58_3_123 = 0
% 7.48/2.54 |
% 7.48/2.54 | Equations (36) can reduce 37 to:
% 7.48/2.54 | (38) $false
% 7.48/2.54 |
% 7.48/2.54 |-The branch is then unsatisfiable
% 7.48/2.54 % SZS output end Proof for theBenchmark
% 7.48/2.54
% 7.48/2.55 1949ms
%------------------------------------------------------------------------------