TSTP Solution File: SYN352+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n008.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 05:01:42 EDT 2022
% Result : Theorem 2.49s 1.33s
% Output : Proof 5.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN352+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 16:49:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.58 ____ _
% 0.19/0.58 ___ / __ \_____(_)___ ________ __________
% 0.19/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.58
% 0.19/0.58 A Theorem Prover for First-Order Logic
% 0.19/0.58 (ePrincess v.1.0)
% 0.19/0.58
% 0.19/0.58 (c) Philipp Rümmer, 2009-2015
% 0.19/0.58 (c) Peter Backeman, 2014-2015
% 0.19/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.58 Bug reports to peter@backeman.se
% 0.19/0.58
% 0.19/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.58
% 0.19/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.69/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.39/0.94 Prover 0: Preprocessing ...
% 1.39/0.99 Prover 0: Warning: ignoring some quantifiers
% 1.39/1.01 Prover 0: Constructing countermodel ...
% 1.73/1.11 Prover 0: gave up
% 1.73/1.11 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 1.73/1.13 Prover 1: Preprocessing ...
% 1.73/1.18 Prover 1: Constructing countermodel ...
% 2.49/1.33 Prover 1: proved (222ms)
% 2.49/1.33
% 2.49/1.33 No countermodel exists, formula is valid
% 2.49/1.33 % SZS status Theorem for theBenchmark
% 2.49/1.33
% 2.49/1.33 Generating proof ... found it (size 53)
% 5.75/2.13
% 5.75/2.13 % SZS output start Proof for theBenchmark
% 5.75/2.13 Assumed formulas after preprocessing and simplification:
% 5.75/2.14 | (0) ? [v0] : ? [v1] : ? [v2] : (big_f(v0, v1) = v2 & ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v3 | ~ (big_f(v6, v5) = v4) | ~ (big_f(v6, v5) = v3)) & ! [v3] : ! [v4] : ! [v5] : ( ~ (big_f(v3, v4) = v5) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : (v2 = 0 & big_f(v6, v6) = v10 & big_f(v4, v6) = v8 & big_f(v3, v6) = v9 & big_f(v1, v6) = v7 & ( ~ (v5 = 0) | v8 = 0 | v7 = 0) & ( ~ (v5 = 0) | (( ~ (v9 = 0) | ~ (v8 = 0)) & (v9 = 0 | v8 = 0))) & (v10 = 0 | (v5 = 0 & ( ~ (v9 = 0) | ~ (v7 = 0)) & (v9 = 0 | v7 = 0))))))
% 5.75/2.16 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2 yields:
% 5.75/2.16 | (1) big_f(all_0_2_2, all_0_1_1) = all_0_0_0 & ! [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] : (all_0_0_0 = 0 & big_f(v3, v3) = v7 & big_f(v1, v3) = v5 & big_f(v0, v3) = v6 & big_f(all_0_1_1, v3) = v4 & ( ~ (v2 = 0) | v5 = 0 | v4 = 0) & ( ~ (v2 = 0) | (( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & (v7 = 0 | (v2 = 0 & ( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))
% 5.75/2.16 |
% 5.75/2.16 | Applying alpha-rule on (1) yields:
% 5.75/2.16 | (2) big_f(all_0_2_2, all_0_1_1) = all_0_0_0
% 5.75/2.16 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (big_f(v3, v2) = v1) | ~ (big_f(v3, v2) = v0))
% 5.75/2.16 | (4) ! [v0] : ! [v1] : ! [v2] : ( ~ (big_f(v0, v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (all_0_0_0 = 0 & big_f(v3, v3) = v7 & big_f(v1, v3) = v5 & big_f(v0, v3) = v6 & big_f(all_0_1_1, v3) = v4 & ( ~ (v2 = 0) | v5 = 0 | v4 = 0) & ( ~ (v2 = 0) | (( ~ (v6 = 0) | ~ (v5 = 0)) & (v6 = 0 | v5 = 0))) & (v7 = 0 | (v2 = 0 & ( ~ (v6 = 0) | ~ (v4 = 0)) & (v6 = 0 | v4 = 0)))))
% 5.75/2.17 |
% 5.75/2.17 | Instantiating formula (4) with all_0_0_0, all_0_1_1, all_0_2_2 and discharging atoms big_f(all_0_2_2, all_0_1_1) = all_0_0_0, yields:
% 5.75/2.17 | (5) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (all_0_0_0 = 0 & big_f(v0, v0) = v4 & big_f(all_0_1_1, v0) = v2 & big_f(all_0_1_1, v0) = v1 & big_f(all_0_2_2, v0) = v3 & ( ~ (v3 = 0) | ~ (v2 = 0)) & (v4 = 0 | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0))) & (v3 = 0 | v2 = 0) & (v2 = 0 | v1 = 0))
% 5.75/2.17 |
% 5.75/2.17 | Instantiating (5) with all_8_0_3, all_8_1_4, all_8_2_5, all_8_3_6, all_8_4_7 yields:
% 5.75/2.17 | (6) all_0_0_0 = 0 & big_f(all_8_4_7, all_8_4_7) = all_8_0_3 & big_f(all_0_1_1, all_8_4_7) = all_8_2_5 & big_f(all_0_1_1, all_8_4_7) = all_8_3_6 & big_f(all_0_2_2, all_8_4_7) = all_8_1_4 & ( ~ (all_8_1_4 = 0) | ~ (all_8_2_5 = 0)) & (all_8_0_3 = 0 | (( ~ (all_8_1_4 = 0) | ~ (all_8_3_6 = 0)) & (all_8_1_4 = 0 | all_8_3_6 = 0))) & (all_8_1_4 = 0 | all_8_2_5 = 0) & (all_8_2_5 = 0 | all_8_3_6 = 0)
% 5.75/2.17 |
% 5.75/2.17 | Applying alpha-rule on (6) yields:
% 5.75/2.17 | (7) big_f(all_0_2_2, all_8_4_7) = all_8_1_4
% 5.75/2.17 | (8) all_8_1_4 = 0 | all_8_2_5 = 0
% 5.75/2.17 | (9) all_8_2_5 = 0 | all_8_3_6 = 0
% 5.75/2.17 | (10) all_8_0_3 = 0 | (( ~ (all_8_1_4 = 0) | ~ (all_8_3_6 = 0)) & (all_8_1_4 = 0 | all_8_3_6 = 0))
% 5.75/2.17 | (11) all_0_0_0 = 0
% 5.75/2.17 | (12) big_f(all_0_1_1, all_8_4_7) = all_8_3_6
% 5.75/2.17 | (13) big_f(all_0_1_1, all_8_4_7) = all_8_2_5
% 5.75/2.17 | (14) ~ (all_8_1_4 = 0) | ~ (all_8_2_5 = 0)
% 5.75/2.17 | (15) big_f(all_8_4_7, all_8_4_7) = all_8_0_3
% 5.75/2.17 |
% 5.75/2.17 | Instantiating formula (3) with all_0_1_1, all_8_4_7, all_8_3_6, all_8_2_5 and discharging atoms big_f(all_0_1_1, all_8_4_7) = all_8_2_5, big_f(all_0_1_1, all_8_4_7) = all_8_3_6, yields:
% 5.75/2.17 | (16) all_8_2_5 = all_8_3_6
% 5.75/2.17 |
% 5.75/2.17 | From (16) and (13) follows:
% 5.75/2.17 | (12) big_f(all_0_1_1, all_8_4_7) = all_8_3_6
% 5.75/2.17 |
% 5.75/2.17 +-Applying beta-rule and splitting (9), into two cases.
% 5.75/2.17 |-Branch one:
% 5.75/2.17 | (18) all_8_2_5 = 0
% 5.75/2.17 |
% 5.75/2.17 | Combining equations (18,16) yields a new equation:
% 5.75/2.17 | (19) all_8_3_6 = 0
% 5.75/2.17 |
% 5.75/2.17 | From (19) and (12) follows:
% 5.75/2.17 | (20) big_f(all_0_1_1, all_8_4_7) = 0
% 5.75/2.17 |
% 5.75/2.18 | Instantiating formula (4) with 0, all_8_4_7, all_0_1_1 and discharging atoms big_f(all_0_1_1, all_8_4_7) = 0, yields:
% 5.75/2.18 | (21) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (all_0_0_0 = 0 & big_f(v0, v0) = v4 & big_f(all_8_4_7, v0) = v2 & big_f(all_0_1_1, v0) = v3 & big_f(all_0_1_1, v0) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0)) & (v4 = 0 | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0))) & (v3 = 0 | v2 = 0) & (v2 = 0 | v1 = 0))
% 5.75/2.18 |
% 5.75/2.18 | Instantiating (21) with all_31_0_18, all_31_1_19, all_31_2_20, all_31_3_21, all_31_4_22 yields:
% 5.75/2.18 | (22) all_0_0_0 = 0 & big_f(all_31_4_22, all_31_4_22) = all_31_0_18 & big_f(all_8_4_7, all_31_4_22) = all_31_2_20 & big_f(all_0_1_1, all_31_4_22) = all_31_1_19 & big_f(all_0_1_1, all_31_4_22) = all_31_3_21 & ( ~ (all_31_1_19 = 0) | ~ (all_31_2_20 = 0)) & (all_31_0_18 = 0 | (( ~ (all_31_1_19 = 0) | ~ (all_31_3_21 = 0)) & (all_31_1_19 = 0 | all_31_3_21 = 0))) & (all_31_1_19 = 0 | all_31_2_20 = 0) & (all_31_2_20 = 0 | all_31_3_21 = 0)
% 5.75/2.18 |
% 5.75/2.18 | Applying alpha-rule on (22) yields:
% 5.75/2.18 | (23) all_31_2_20 = 0 | all_31_3_21 = 0
% 5.75/2.18 | (24) all_31_0_18 = 0 | (( ~ (all_31_1_19 = 0) | ~ (all_31_3_21 = 0)) & (all_31_1_19 = 0 | all_31_3_21 = 0))
% 5.75/2.18 | (25) big_f(all_31_4_22, all_31_4_22) = all_31_0_18
% 5.75/2.18 | (11) all_0_0_0 = 0
% 5.75/2.18 | (27) big_f(all_0_1_1, all_31_4_22) = all_31_1_19
% 5.75/2.18 | (28) all_31_1_19 = 0 | all_31_2_20 = 0
% 5.75/2.18 | (29) ~ (all_31_1_19 = 0) | ~ (all_31_2_20 = 0)
% 5.75/2.18 | (30) big_f(all_0_1_1, all_31_4_22) = all_31_3_21
% 5.75/2.18 | (31) big_f(all_8_4_7, all_31_4_22) = all_31_2_20
% 5.75/2.18 |
% 5.75/2.18 | Instantiating formula (3) with all_0_1_1, all_31_4_22, all_31_3_21, all_31_1_19 and discharging atoms big_f(all_0_1_1, all_31_4_22) = all_31_1_19, big_f(all_0_1_1, all_31_4_22) = all_31_3_21, yields:
% 5.75/2.18 | (32) all_31_1_19 = all_31_3_21
% 5.75/2.18 |
% 5.75/2.18 +-Applying beta-rule and splitting (24), into two cases.
% 5.75/2.18 |-Branch one:
% 5.75/2.18 | (33) all_31_0_18 = 0
% 5.75/2.18 |
% 5.75/2.18 | From (33) and (25) follows:
% 5.75/2.18 | (34) big_f(all_31_4_22, all_31_4_22) = 0
% 5.75/2.18 |
% 5.75/2.18 | Instantiating formula (4) with 0, all_31_4_22, all_31_4_22 and discharging atoms big_f(all_31_4_22, all_31_4_22) = 0, yields:
% 5.75/2.18 | (35) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : (all_0_0_0 = 0 & big_f(v0, v0) = v4 & big_f(all_31_4_22, v0) = v3 & big_f(all_31_4_22, v0) = v2 & big_f(all_0_1_1, v0) = v1 & ( ~ (v3 = 0) | ~ (v2 = 0)) & (v4 = 0 | (( ~ (v3 = 0) | ~ (v1 = 0)) & (v3 = 0 | v1 = 0))) & (v3 = 0 | v2 = 0) & (v2 = 0 | v1 = 0))
% 5.75/2.18 |
% 5.75/2.18 | Instantiating (35) with all_84_0_68, all_84_1_69, all_84_2_70, all_84_3_71, all_84_4_72 yields:
% 5.75/2.18 | (36) all_0_0_0 = 0 & big_f(all_84_4_72, all_84_4_72) = all_84_0_68 & big_f(all_31_4_22, all_84_4_72) = all_84_1_69 & big_f(all_31_4_22, all_84_4_72) = all_84_2_70 & big_f(all_0_1_1, all_84_4_72) = all_84_3_71 & ( ~ (all_84_1_69 = 0) | ~ (all_84_2_70 = 0)) & (all_84_0_68 = 0 | (( ~ (all_84_1_69 = 0) | ~ (all_84_3_71 = 0)) & (all_84_1_69 = 0 | all_84_3_71 = 0))) & (all_84_1_69 = 0 | all_84_2_70 = 0) & (all_84_2_70 = 0 | all_84_3_71 = 0)
% 5.75/2.18 |
% 5.75/2.18 | Applying alpha-rule on (36) yields:
% 5.75/2.18 | (37) big_f(all_31_4_22, all_84_4_72) = all_84_2_70
% 5.75/2.18 | (38) big_f(all_84_4_72, all_84_4_72) = all_84_0_68
% 5.75/2.18 | (39) big_f(all_0_1_1, all_84_4_72) = all_84_3_71
% 5.75/2.18 | (11) all_0_0_0 = 0
% 5.75/2.18 | (41) ~ (all_84_1_69 = 0) | ~ (all_84_2_70 = 0)
% 5.75/2.18 | (42) all_84_1_69 = 0 | all_84_2_70 = 0
% 5.75/2.18 | (43) all_84_0_68 = 0 | (( ~ (all_84_1_69 = 0) | ~ (all_84_3_71 = 0)) & (all_84_1_69 = 0 | all_84_3_71 = 0))
% 5.75/2.18 | (44) big_f(all_31_4_22, all_84_4_72) = all_84_1_69
% 5.75/2.18 | (45) all_84_2_70 = 0 | all_84_3_71 = 0
% 5.75/2.18 |
% 5.75/2.18 | Instantiating formula (3) with all_31_4_22, all_84_4_72, all_84_2_70, all_84_1_69 and discharging atoms big_f(all_31_4_22, all_84_4_72) = all_84_1_69, big_f(all_31_4_22, all_84_4_72) = all_84_2_70, yields:
% 5.75/2.18 | (46) all_84_1_69 = all_84_2_70
% 5.75/2.18 |
% 5.75/2.18 +-Applying beta-rule and splitting (41), into two cases.
% 5.75/2.18 |-Branch one:
% 5.75/2.18 | (47) ~ (all_84_1_69 = 0)
% 5.75/2.18 |
% 5.75/2.19 | Equations (46) can reduce 47 to:
% 5.75/2.19 | (48) ~ (all_84_2_70 = 0)
% 5.75/2.19 |
% 5.75/2.19 +-Applying beta-rule and splitting (45), into two cases.
% 5.75/2.19 |-Branch one:
% 5.75/2.19 | (49) all_84_2_70 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (49) can reduce 48 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (48) ~ (all_84_2_70 = 0)
% 5.75/2.19 | (52) all_84_3_71 = 0
% 5.75/2.19 |
% 5.75/2.19 +-Applying beta-rule and splitting (42), into two cases.
% 5.75/2.19 |-Branch one:
% 5.75/2.19 | (53) all_84_1_69 = 0
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (53,46) yields a new equation:
% 5.75/2.19 | (49) all_84_2_70 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (49) can reduce 48 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (47) ~ (all_84_1_69 = 0)
% 5.75/2.19 | (49) all_84_2_70 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (49) can reduce 48 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (53) all_84_1_69 = 0
% 5.75/2.19 | (48) ~ (all_84_2_70 = 0)
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (46,53) yields a new equation:
% 5.75/2.19 | (61) all_84_2_70 = 0
% 5.75/2.19 |
% 5.75/2.19 | Simplifying 61 yields:
% 5.75/2.19 | (49) all_84_2_70 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (49) can reduce 48 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (64) ~ (all_31_0_18 = 0)
% 5.75/2.19 | (65) ( ~ (all_31_1_19 = 0) | ~ (all_31_3_21 = 0)) & (all_31_1_19 = 0 | all_31_3_21 = 0)
% 5.75/2.19 |
% 5.75/2.19 | Applying alpha-rule on (65) yields:
% 5.75/2.19 | (66) ~ (all_31_1_19 = 0) | ~ (all_31_3_21 = 0)
% 5.75/2.19 | (67) all_31_1_19 = 0 | all_31_3_21 = 0
% 5.75/2.19 |
% 5.75/2.19 +-Applying beta-rule and splitting (67), into two cases.
% 5.75/2.19 |-Branch one:
% 5.75/2.19 | (68) all_31_1_19 = 0
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (68,32) yields a new equation:
% 5.75/2.19 | (69) all_31_3_21 = 0
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (69,32) yields a new equation:
% 5.75/2.19 | (68) all_31_1_19 = 0
% 5.75/2.19 |
% 5.75/2.19 +-Applying beta-rule and splitting (29), into two cases.
% 5.75/2.19 |-Branch one:
% 5.75/2.19 | (71) ~ (all_31_1_19 = 0)
% 5.75/2.19 |
% 5.75/2.19 | Equations (68) can reduce 71 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (68) all_31_1_19 = 0
% 5.75/2.19 | (74) ~ (all_31_2_20 = 0)
% 5.75/2.19 |
% 5.75/2.19 +-Applying beta-rule and splitting (66), into two cases.
% 5.75/2.19 |-Branch one:
% 5.75/2.19 | (71) ~ (all_31_1_19 = 0)
% 5.75/2.19 |
% 5.75/2.19 | Equations (68) can reduce 71 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (68) all_31_1_19 = 0
% 5.75/2.19 | (78) ~ (all_31_3_21 = 0)
% 5.75/2.19 |
% 5.75/2.19 | Equations (69) can reduce 78 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (71) ~ (all_31_1_19 = 0)
% 5.75/2.19 | (69) all_31_3_21 = 0
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (69,32) yields a new equation:
% 5.75/2.19 | (68) all_31_1_19 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (68) can reduce 71 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 |-Branch two:
% 5.75/2.19 | (84) ~ (all_8_2_5 = 0)
% 5.75/2.19 | (19) all_8_3_6 = 0
% 5.75/2.19 |
% 5.75/2.19 | Combining equations (19,16) yields a new equation:
% 5.75/2.19 | (18) all_8_2_5 = 0
% 5.75/2.19 |
% 5.75/2.19 | Equations (18) can reduce 84 to:
% 5.75/2.19 | (50) $false
% 5.75/2.19 |
% 5.75/2.19 |-The branch is then unsatisfiable
% 5.75/2.19 % SZS output end Proof for theBenchmark
% 5.75/2.19
% 5.75/2.19 1591ms
%------------------------------------------------------------------------------