TSTP Solution File: SET947+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n009.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 : Tue Jul 19 00:23:22 EDT 2022
% Result : Theorem 3.10s 1.47s
% Output : Proof 4.00s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET947+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Mon Jul 11 01:13:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.56/0.59 ____ _
% 0.56/0.59 ___ / __ \_____(_)___ ________ __________
% 0.56/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.60
% 0.56/0.60 A Theorem Prover for First-Order Logic
% 0.56/0.60 (ePrincess v.1.0)
% 0.56/0.60
% 0.56/0.60 (c) Philipp Rümmer, 2009-2015
% 0.56/0.60 (c) Peter Backeman, 2014-2015
% 0.56/0.60 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.60 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.60 Bug reports to peter@backeman.se
% 0.56/0.60
% 0.56/0.60 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.60
% 0.56/0.60 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.65 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.29/0.90 Prover 0: Preprocessing ...
% 1.46/1.02 Prover 0: Warning: ignoring some quantifiers
% 1.60/1.03 Prover 0: Constructing countermodel ...
% 2.14/1.20 Prover 0: gave up
% 2.14/1.20 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.14/1.22 Prover 1: Preprocessing ...
% 2.31/1.28 Prover 1: Warning: ignoring some quantifiers
% 2.31/1.28 Prover 1: Constructing countermodel ...
% 2.56/1.36 Prover 1: gave up
% 2.56/1.36 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.77/1.37 Prover 2: Preprocessing ...
% 2.77/1.43 Prover 2: Warning: ignoring some quantifiers
% 2.77/1.43 Prover 2: Constructing countermodel ...
% 3.10/1.47 Prover 2: proved (108ms)
% 3.10/1.47
% 3.10/1.47 No countermodel exists, formula is valid
% 3.10/1.47 % SZS status Theorem for theBenchmark
% 3.10/1.47
% 3.10/1.47 Generating proof ... Warning: ignoring some quantifiers
% 3.73/1.67 found it (size 22)
% 3.73/1.67
% 3.73/1.67 % SZS output start Proof for theBenchmark
% 3.73/1.67 Assumed formulas after preprocessing and simplification:
% 3.73/1.67 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ( ~ (v5 = 0) & ~ (v3 = 0) & empty(v6) = 0 & empty(v4) = v5 & union(v0) = v1 & powerset(v1) = v2 & subset(v0, v2) = v3 & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (union(v8) = v9) | ~ (subset(v7, v9) = v10) | ? [v11] : ( ~ (v11 = 0) & in(v7, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (powerset(v7) = v8) | ~ (subset(v9, v7) = v10) | ? [v11] : ( ~ (v11 = 0) & in(v9, v8) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (powerset(v7) = v8) | ~ (in(v9, v8) = v10) | ? [v11] : ( ~ (v11 = 0) & subset(v9, v7) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v10 = 0 | ~ (subset(v7, v8) = 0) | ~ (in(v9, v8) = v10) | ? [v11] : ( ~ (v11 = 0) & in(v9, v7) = v11)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (subset(v10, v9) = v8) | ~ (subset(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ! [v10] : (v8 = v7 | ~ (in(v10, v9) = v8) | ~ (in(v10, v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v9 = 0 | ~ (subset(v7, v8) = v9) | ? [v10] : ? [v11] : ( ~ (v11 = 0) & in(v10, v8) = v11 & in(v10, v7) = 0)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (empty(v9) = v8) | ~ (empty(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (union(v9) = v8) | ~ (union(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : (v8 = v7 | ~ (powerset(v9) = v8) | ~ (powerset(v9) = v7)) & ! [v7] : ! [v8] : ! [v9] : ( ~ (powerset(v7) = v8) | ~ (subset(v9, v7) = 0) | in(v9, v8) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (powerset(v7) = v8) | ~ (in(v9, v8) = 0) | subset(v9, v7) = 0) & ! [v7] : ! [v8] : ! [v9] : ( ~ (subset(v7, v8) = 0) | ~ (in(v9, v7) = 0) | in(v9, v8) = 0) & ? [v7] : ! [v8] : ! [v9] : (v9 = v7 | ~ (powerset(v8) = v9) | ? [v10] : ? [v11] : ? [v12] : (((v12 = 0 & subset(v10, v8) = 0) | (v11 = 0 & in(v10, v7) = 0)) & (( ~ (v12 = 0) & subset(v10, v8) = v12) | ( ~ (v11 = 0) & in(v10, v7) = v11)))) & ! [v7] : ! [v8] : (v8 = 0 | ~ (subset(v7, v7) = v8)) & ! [v7] : ! [v8] : ( ~ (in(v8, v7) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v7, v8) = v9)) & ! [v7] : ! [v8] : ( ~ (in(v7, v8) = 0) | ? [v9] : ( ~ (v9 = 0) & in(v8, v7) = v9)) & ! [v7] : ! [v8] : ( ~ (in(v7, v8) = 0) | ? [v9] : (union(v8) = v9 & subset(v7, v9) = 0)) & ? [v7] : ? [v8] : ? [v9] : subset(v8, v7) = v9 & ? [v7] : ? [v8] : ? [v9] : in(v8, v7) = v9 & ? [v7] : ? [v8] : empty(v7) = v8 & ? [v7] : ? [v8] : union(v7) = v8 & ? [v7] : ? [v8] : powerset(v7) = v8)
% 4.00/1.70 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6 yields:
% 4.00/1.70 | (1) ~ (all_0_1_1 = 0) & ~ (all_0_3_3 = 0) & empty(all_0_0_0) = 0 & empty(all_0_2_2) = all_0_1_1 & union(all_0_6_6) = all_0_5_5 & powerset(all_0_5_5) = all_0_4_4 & subset(all_0_6_6, all_0_4_4) = all_0_3_3 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (in(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (in(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (in(v2, v1) = 0) | subset(v2, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (powerset(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & subset(v3, v1) = 0) | (v4 = 0 & in(v3, v0) = 0)) & (( ~ (v5 = 0) & subset(v3, v1) = v5) | ( ~ (v4 = 0) & in(v3, v0) = v4)))) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (union(v1) = v2 & subset(v0, v2) = 0)) & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2 & ? [v0] : ? [v1] : empty(v0) = v1 & ? [v0] : ? [v1] : union(v0) = v1 & ? [v0] : ? [v1] : powerset(v0) = v1
% 4.00/1.71 |
% 4.00/1.71 | Applying alpha-rule on (1) yields:
% 4.00/1.71 | (2) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (powerset(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : (((v5 = 0 & subset(v3, v1) = 0) | (v4 = 0 & in(v3, v0) = 0)) & (( ~ (v5 = 0) & subset(v3, v1) = v5) | ( ~ (v4 = 0) & in(v3, v0) = v4))))
% 4.00/1.71 | (3) ~ (all_0_1_1 = 0)
% 4.00/1.71 | (4) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 4.00/1.72 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (in(v2, v1) = 0) | subset(v2, v0) = 0)
% 4.00/1.72 | (6) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = 0) | in(v2, v1) = 0)
% 4.00/1.72 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (subset(v0, v1) = 0) | ~ (in(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v0) = v4))
% 4.00/1.72 | (8) subset(all_0_6_6, all_0_4_4) = all_0_3_3
% 4.00/1.72 | (9) ! [v0] : ! [v1] : ( ~ (in(v1, v0) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v0, v1) = v2))
% 4.00/1.72 | (10) ~ (all_0_3_3 = 0)
% 4.00/1.72 | (11) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2
% 4.00/1.72 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (in(v2, v1) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v2, v0) = v4))
% 4.00/1.72 | (13) ? [v0] : ? [v1] : empty(v0) = v1
% 4.00/1.72 | (14) union(all_0_6_6) = all_0_5_5
% 4.00/1.72 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 4.00/1.72 | (16) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 4.00/1.72 | (17) ? [v0] : ? [v1] : ? [v2] : in(v1, v0) = v2
% 4.00/1.72 | (18) empty(all_0_2_2) = all_0_1_1
% 4.00/1.72 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v0) = v1) | ~ (subset(v2, v0) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v2, v1) = v4))
% 4.00/1.72 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (union(v1) = v2) | ~ (subset(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & in(v0, v1) = v4))
% 4.00/1.72 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 4.00/1.72 | (22) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 4.00/1.72 | (23) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 4.00/1.72 | (24) empty(all_0_0_0) = 0
% 4.00/1.72 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 4.00/1.72 | (26) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : (union(v1) = v2 & subset(v0, v2) = 0))
% 4.00/1.72 | (27) ? [v0] : ? [v1] : union(v0) = v1
% 4.00/1.72 | (28) ? [v0] : ? [v1] : powerset(v0) = v1
% 4.00/1.72 | (29) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (union(v2) = v1) | ~ (union(v2) = v0))
% 4.00/1.72 | (30) powerset(all_0_5_5) = all_0_4_4
% 4.00/1.72 | (31) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 4.00/1.72 |
% 4.00/1.72 | Instantiating formula (4) with all_0_3_3, all_0_4_4, all_0_6_6 and discharging atoms subset(all_0_6_6, all_0_4_4) = all_0_3_3, yields:
% 4.00/1.72 | (32) all_0_3_3 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_4_4) = v1 & in(v0, all_0_6_6) = 0)
% 4.00/1.73 |
% 4.00/1.73 +-Applying beta-rule and splitting (32), into two cases.
% 4.00/1.73 |-Branch one:
% 4.00/1.73 | (33) all_0_3_3 = 0
% 4.00/1.73 |
% 4.00/1.73 | Equations (33) can reduce 10 to:
% 4.00/1.73 | (34) $false
% 4.00/1.73 |
% 4.00/1.73 |-The branch is then unsatisfiable
% 4.00/1.73 |-Branch two:
% 4.00/1.73 | (10) ~ (all_0_3_3 = 0)
% 4.00/1.73 | (36) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_4_4) = v1 & in(v0, all_0_6_6) = 0)
% 4.00/1.73 |
% 4.00/1.73 | Instantiating (36) with all_22_0_20, all_22_1_21 yields:
% 4.00/1.73 | (37) ~ (all_22_0_20 = 0) & in(all_22_1_21, all_0_4_4) = all_22_0_20 & in(all_22_1_21, all_0_6_6) = 0
% 4.00/1.73 |
% 4.00/1.73 | Applying alpha-rule on (37) yields:
% 4.00/1.73 | (38) ~ (all_22_0_20 = 0)
% 4.00/1.73 | (39) in(all_22_1_21, all_0_4_4) = all_22_0_20
% 4.00/1.73 | (40) in(all_22_1_21, all_0_6_6) = 0
% 4.00/1.73 |
% 4.00/1.73 | Instantiating formula (12) with all_22_0_20, all_22_1_21, all_0_4_4, all_0_5_5 and discharging atoms powerset(all_0_5_5) = all_0_4_4, in(all_22_1_21, all_0_4_4) = all_22_0_20, yields:
% 4.00/1.73 | (41) all_22_0_20 = 0 | ? [v0] : ( ~ (v0 = 0) & subset(all_22_1_21, all_0_5_5) = v0)
% 4.00/1.73 |
% 4.00/1.73 | Instantiating formula (26) with all_0_6_6, all_22_1_21 and discharging atoms in(all_22_1_21, all_0_6_6) = 0, yields:
% 4.00/1.73 | (42) ? [v0] : (union(all_0_6_6) = v0 & subset(all_22_1_21, v0) = 0)
% 4.00/1.73 |
% 4.00/1.73 | Instantiating (42) with all_29_0_22 yields:
% 4.00/1.73 | (43) union(all_0_6_6) = all_29_0_22 & subset(all_22_1_21, all_29_0_22) = 0
% 4.00/1.73 |
% 4.00/1.73 | Applying alpha-rule on (43) yields:
% 4.00/1.73 | (44) union(all_0_6_6) = all_29_0_22
% 4.00/1.73 | (45) subset(all_22_1_21, all_29_0_22) = 0
% 4.00/1.73 |
% 4.00/1.73 +-Applying beta-rule and splitting (41), into two cases.
% 4.00/1.73 |-Branch one:
% 4.00/1.73 | (46) all_22_0_20 = 0
% 4.00/1.73 |
% 4.00/1.73 | Equations (46) can reduce 38 to:
% 4.00/1.73 | (34) $false
% 4.00/1.73 |
% 4.00/1.73 |-The branch is then unsatisfiable
% 4.00/1.73 |-Branch two:
% 4.00/1.73 | (38) ~ (all_22_0_20 = 0)
% 4.00/1.73 | (49) ? [v0] : ( ~ (v0 = 0) & subset(all_22_1_21, all_0_5_5) = v0)
% 4.00/1.73 |
% 4.00/1.73 | Instantiating (49) with all_37_0_24 yields:
% 4.00/1.73 | (50) ~ (all_37_0_24 = 0) & subset(all_22_1_21, all_0_5_5) = all_37_0_24
% 4.00/1.73 |
% 4.00/1.73 | Applying alpha-rule on (50) yields:
% 4.00/1.73 | (51) ~ (all_37_0_24 = 0)
% 4.00/1.73 | (52) subset(all_22_1_21, all_0_5_5) = all_37_0_24
% 4.00/1.73 |
% 4.00/1.73 | Instantiating formula (29) with all_0_6_6, all_29_0_22, all_0_5_5 and discharging atoms union(all_0_6_6) = all_29_0_22, union(all_0_6_6) = all_0_5_5, yields:
% 4.00/1.73 | (53) all_29_0_22 = all_0_5_5
% 4.00/1.73 |
% 4.00/1.73 | From (53) and (45) follows:
% 4.00/1.73 | (54) subset(all_22_1_21, all_0_5_5) = 0
% 4.00/1.73 |
% 4.00/1.73 | Instantiating formula (25) with all_22_1_21, all_0_5_5, 0, all_37_0_24 and discharging atoms subset(all_22_1_21, all_0_5_5) = all_37_0_24, subset(all_22_1_21, all_0_5_5) = 0, yields:
% 4.00/1.73 | (55) all_37_0_24 = 0
% 4.00/1.73 |
% 4.00/1.73 | Equations (55) can reduce 51 to:
% 4.00/1.73 | (34) $false
% 4.00/1.73 |
% 4.00/1.73 |-The branch is then unsatisfiable
% 4.00/1.73 % SZS output end Proof for theBenchmark
% 4.00/1.73
% 4.00/1.73 1128ms
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