TSTP Solution File: SET984+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n016.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 00:23:36 EDT 2022
% Result : Theorem 5.36s 1.94s
% Output : Proof 26.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SET984+1 : TPTP v8.1.0. Released v3.2.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n016.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 : Sun Jul 10 06:57:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.57 ____ _
% 0.56/0.57 ___ / __ \_____(_)___ ________ __________
% 0.56/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.57
% 0.56/0.57 A Theorem Prover for First-Order Logic
% 0.56/0.57 (ePrincess v.1.0)
% 0.56/0.57
% 0.56/0.57 (c) Philipp Rümmer, 2009-2015
% 0.56/0.57 (c) Peter Backeman, 2014-2015
% 0.56/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.57 Bug reports to peter@backeman.se
% 0.56/0.57
% 0.56/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.57
% 0.56/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.61/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.37/0.89 Prover 0: Preprocessing ...
% 1.69/1.05 Prover 0: Warning: ignoring some quantifiers
% 1.69/1.07 Prover 0: Constructing countermodel ...
% 2.42/1.23 Prover 0: gave up
% 2.42/1.24 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 2.42/1.26 Prover 1: Preprocessing ...
% 2.42/1.32 Prover 1: Constructing countermodel ...
% 3.65/1.53 Prover 1: gave up
% 3.65/1.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.65/1.55 Prover 2: Preprocessing ...
% 3.65/1.59 Prover 2: Warning: ignoring some quantifiers
% 3.65/1.60 Prover 2: Constructing countermodel ...
% 5.36/1.94 Prover 2: proved (407ms)
% 5.36/1.94
% 5.36/1.94 No countermodel exists, formula is valid
% 5.36/1.94 % SZS status Theorem for theBenchmark
% 5.36/1.94
% 5.36/1.94 Generating proof ... Warning: ignoring some quantifiers
% 24.74/6.93 found it (size 1078)
% 24.74/6.93
% 24.74/6.93 % SZS output start Proof for theBenchmark
% 24.74/6.93 Assumed formulas after preprocessing and simplification:
% 24.74/6.93 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ( ~ (v9 = 0) & ~ (v4 = empty_set) & cartesian_product2(v2, v3) = v5 & cartesian_product2(v0, v1) = v4 & subset(v4, v5) = 0 & empty(v10) = 0 & empty(v8) = v9 & empty(empty_set) = 0 & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cartesian_product2(v15, v16) = v17) | ~ (set_intersection2(v13, v14) = v16) | ~ (set_intersection2(v11, v12) = v15) | ? [v18] : ? [v19] : (cartesian_product2(v12, v14) = v19 & cartesian_product2(v11, v13) = v18 & set_intersection2(v18, v19) = v17)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (cartesian_product2(v12, v14) = v16) | ~ (cartesian_product2(v11, v13) = v15) | ~ (set_intersection2(v15, v16) = v17) | ? [v18] : ? [v19] : (cartesian_product2(v18, v19) = v17 & set_intersection2(v13, v14) = v19 & set_intersection2(v11, v12) = v18)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v14 = v12 | v12 = empty_set | v11 = empty_set | ~ (cartesian_product2(v13, v14) = v15) | ~ (cartesian_product2(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v11 | v12 = empty_set | v11 = empty_set | ~ (cartesian_product2(v13, v14) = v15) | ~ (cartesian_product2(v11, v12) = v15)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (cartesian_product2(v14, v13) = v12) | ~ (cartesian_product2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (subset(v14, v13) = v12) | ~ (subset(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ! [v14] : (v12 = v11 | ~ (set_intersection2(v14, v13) = v12) | ~ (set_intersection2(v14, v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : (v13 = v11 | ~ (set_intersection2(v11, v12) = v13) | ? [v14] : ( ~ (v14 = 0) & subset(v11, v12) = v14)) & ! [v11] : ! [v12] : ! [v13] : (v12 = v11 | ~ (empty(v13) = v12) | ~ (empty(v13) = v11)) & ! [v11] : ! [v12] : ! [v13] : ( ~ (set_intersection2(v12, v11) = v13) | set_intersection2(v11, v12) = v13) & ! [v11] : ! [v12] : ! [v13] : ( ~ (set_intersection2(v11, v12) = v13) | subset(v13, v11) = 0) & ! [v11] : ! [v12] : ! [v13] : ( ~ (set_intersection2(v11, v12) = v13) | set_intersection2(v12, v11) = v13) & ! [v11] : ! [v12] : (v12 = v11 | ~ (set_intersection2(v11, v11) = v12)) & ! [v11] : ! [v12] : (v12 = empty_set | v11 = empty_set | ~ (cartesian_product2(v11, v12) = empty_set)) & ! [v11] : ! [v12] : (v12 = empty_set | ~ (cartesian_product2(v11, empty_set) = v12)) & ! [v11] : ! [v12] : (v12 = empty_set | ~ (cartesian_product2(empty_set, v11) = v12)) & ! [v11] : ! [v12] : (v12 = 0 | ~ (subset(v11, v11) = v12)) & ! [v11] : ! [v12] : ( ~ (subset(v11, v12) = 0) | set_intersection2(v11, v12) = v11) & ? [v11] : ? [v12] : ? [v13] : cartesian_product2(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : subset(v12, v11) = v13 & ? [v11] : ? [v12] : ? [v13] : set_intersection2(v12, v11) = v13 & ? [v11] : ? [v12] : empty(v11) = v12 & (( ~ (v7 = 0) & subset(v1, v3) = v7) | ( ~ (v6 = 0) & subset(v0, v2) = v6)))
% 24.74/6.96 | 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, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10 yields:
% 24.74/6.96 | (1) ~ (all_0_1_1 = 0) & ~ (all_0_6_6 = empty_set) & cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5 & cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6 & subset(all_0_6_6, all_0_5_5) = 0 & empty(all_0_0_0) = 0 & empty(all_0_2_2) = all_0_1_1 & empty(empty_set) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (cartesian_product2(v4, v5) = v6) | ~ (set_intersection2(v2, v3) = v5) | ~ (set_intersection2(v0, v1) = v4) | ? [v7] : ? [v8] : (cartesian_product2(v1, v3) = v8 & cartesian_product2(v0, v2) = v7 & set_intersection2(v7, v8) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ~ (set_intersection2(v4, v5) = v6) | ? [v7] : ? [v8] : (cartesian_product2(v7, v8) = v6 & set_intersection2(v2, v3) = v8 & set_intersection2(v0, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v0, v1) = empty_set)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (cartesian_product2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (cartesian_product2(empty_set, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | set_intersection2(v0, v1) = v0) & ? [v0] : ? [v1] : ? [v2] : cartesian_product2(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2 & ? [v0] : ? [v1] : ? [v2] : set_intersection2(v1, v0) = v2 & ? [v0] : ? [v1] : empty(v0) = v1 & (( ~ (all_0_3_3 = 0) & subset(all_0_9_9, all_0_7_7) = all_0_3_3) | ( ~ (all_0_4_4 = 0) & subset(all_0_10_10, all_0_8_8) = all_0_4_4))
% 24.74/6.98 |
% 24.74/6.98 | Applying alpha-rule on (1) yields:
% 24.74/6.98 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (cartesian_product2(v4, v5) = v6) | ~ (set_intersection2(v2, v3) = v5) | ~ (set_intersection2(v0, v1) = v4) | ? [v7] : ? [v8] : (cartesian_product2(v1, v3) = v8 & cartesian_product2(v0, v2) = v7 & set_intersection2(v7, v8) = v6))
% 24.74/6.98 | (3) ? [v0] : ? [v1] : empty(v0) = v1
% 24.74/6.98 | (4) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v4))
% 24.74/6.98 | (5) ! [v0] : ! [v1] : (v1 = empty_set | ~ (cartesian_product2(v0, empty_set) = v1))
% 24.74/6.98 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 24.74/6.98 | (7) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 24.74/6.98 | (8) ! [v0] : ! [v1] : ( ~ (subset(v0, v1) = 0) | set_intersection2(v0, v1) = v0)
% 24.74/6.98 | (9) cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5
% 24.74/6.98 | (10) ~ (all_0_1_1 = 0)
% 24.74/6.98 | (11) ? [v0] : ? [v1] : ? [v2] : set_intersection2(v1, v0) = v2
% 24.74/6.98 | (12) empty(all_0_0_0) = 0
% 24.74/6.98 | (13) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 24.74/6.98 | (14) ? [v0] : ? [v1] : ? [v2] : cartesian_product2(v1, v0) = v2
% 24.74/6.98 | (15) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v2, v3) = v4) | ~ (cartesian_product2(v0, v1) = v4))
% 24.74/6.98 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | subset(v2, v0) = 0)
% 24.74/6.98 | (17) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 24.74/6.98 | (18) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 24.74/6.98 | (19) ! [v0] : ! [v1] : (v1 = empty_set | v0 = empty_set | ~ (cartesian_product2(v0, v1) = empty_set))
% 24.74/6.98 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 24.74/6.98 | (21) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v1, v0) = v2) | set_intersection2(v0, v1) = v2)
% 24.74/6.99 | (22) ( ~ (all_0_3_3 = 0) & subset(all_0_9_9, all_0_7_7) = all_0_3_3) | ( ~ (all_0_4_4 = 0) & subset(all_0_10_10, all_0_8_8) = all_0_4_4)
% 24.74/6.99 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 24.74/6.99 | (24) ! [v0] : ! [v1] : (v1 = empty_set | ~ (cartesian_product2(empty_set, v0) = v1))
% 24.74/6.99 | (25) empty(empty_set) = 0
% 24.74/6.99 | (26) ? [v0] : ? [v1] : ? [v2] : subset(v1, v0) = v2
% 25.24/6.99 | (27) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 25.24/6.99 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (cartesian_product2(v1, v3) = v5) | ~ (cartesian_product2(v0, v2) = v4) | ~ (set_intersection2(v4, v5) = v6) | ? [v7] : ? [v8] : (cartesian_product2(v7, v8) = v6 & set_intersection2(v2, v3) = v8 & set_intersection2(v0, v1) = v7))
% 25.24/6.99 | (29) empty(all_0_2_2) = all_0_1_1
% 25.24/6.99 | (30) ~ (all_0_6_6 = empty_set)
% 25.24/6.99 | (31) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (set_intersection2(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & subset(v0, v1) = v3))
% 25.24/6.99 | (32) subset(all_0_6_6, all_0_5_5) = 0
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (8) with all_0_5_5, all_0_6_6 and discharging atoms subset(all_0_6_6, all_0_5_5) = 0, yields:
% 25.24/6.99 | (33) set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_0_6_6, all_0_7_7, all_0_9_9, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/6.99 | (34) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_7_7) = v1 & set_intersection2(all_0_10_10, all_0_8_8) = v0)
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (21) with all_0_6_6, all_0_6_6, all_0_5_5 and discharging atoms set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/6.99 | (35) set_intersection2(all_0_5_5, all_0_6_6) = all_0_6_6
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (16) with all_0_6_6, all_0_5_5, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/6.99 | (36) subset(all_0_6_6, all_0_6_6) = 0
% 25.24/6.99 |
% 25.24/6.99 | Instantiating (34) with all_23_0_22, all_23_1_23 yields:
% 25.24/6.99 | (37) cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22 & set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23
% 25.24/6.99 |
% 25.24/6.99 | Applying alpha-rule on (37) yields:
% 25.24/6.99 | (38) cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6
% 25.24/6.99 | (39) set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22
% 25.24/6.99 | (40) set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (4) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/6.99 | (41) all_23_0_22 = all_0_9_9 | all_0_9_9 = empty_set | all_0_10_10 = empty_set
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_23_0_22, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/6.99 | (42) all_23_0_22 = all_0_9_9 | all_23_0_22 = empty_set | all_23_1_23 = empty_set
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (15) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/6.99 | (43) all_23_1_23 = all_0_10_10 | all_0_9_9 = empty_set | all_0_10_10 = empty_set
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (15) with all_0_6_6, all_0_9_9, all_0_10_10, all_23_0_22, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/6.99 | (44) all_23_0_22 = empty_set | all_23_1_23 = all_0_10_10 | all_23_1_23 = empty_set
% 25.24/6.99 |
% 25.24/6.99 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_0_6_6, all_0_7_7, all_23_0_22, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/6.99 | (45) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_23_0_22, all_0_7_7) = v1 & set_intersection2(all_23_1_23, all_0_8_8) = v0)
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (8) with all_0_6_6, all_0_6_6 and discharging atoms subset(all_0_6_6, all_0_6_6) = 0, yields:
% 25.24/7.00 | (46) set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_5_5, all_0_9_9, all_0_7_7, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_5_5, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.00 | (47) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_7_7, all_0_9_9) = v1 & set_intersection2(all_0_8_8, all_0_10_10) = v0)
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_5_5, all_23_0_22, all_0_7_7, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_5_5, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.00 | (48) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_7_7, all_23_0_22) = v1 & set_intersection2(all_0_8_8, all_23_1_23) = v0)
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (31) with all_23_0_22, all_0_7_7, all_0_9_9 and discharging atoms set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.24/7.00 | (49) all_23_0_22 = all_0_9_9 | ? [v0] : ( ~ (v0 = 0) & subset(all_0_9_9, all_0_7_7) = v0)
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (21) with all_23_0_22, all_0_9_9, all_0_7_7 and discharging atoms set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.24/7.00 | (50) set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (16) with all_23_0_22, all_0_7_7, all_0_9_9 and discharging atoms set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.24/7.00 | (51) subset(all_23_0_22, all_0_9_9) = 0
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (31) with all_23_1_23, all_0_8_8, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.24/7.00 | (52) all_23_1_23 = all_0_10_10 | ? [v0] : ( ~ (v0 = 0) & subset(all_0_10_10, all_0_8_8) = v0)
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (21) with all_23_1_23, all_0_10_10, all_0_8_8 and discharging atoms set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.24/7.00 | (53) set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (16) with all_23_1_23, all_0_8_8, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.24/7.00 | (54) subset(all_23_1_23, all_0_10_10) = 0
% 25.24/7.00 |
% 25.24/7.00 | Instantiating (48) with all_31_0_24, all_31_1_25 yields:
% 25.24/7.00 | (55) cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6 & set_intersection2(all_0_7_7, all_23_0_22) = all_31_0_24 & set_intersection2(all_0_8_8, all_23_1_23) = all_31_1_25
% 25.24/7.00 |
% 25.24/7.00 | Applying alpha-rule on (55) yields:
% 25.24/7.00 | (56) cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6
% 25.24/7.00 | (57) set_intersection2(all_0_7_7, all_23_0_22) = all_31_0_24
% 25.24/7.00 | (58) set_intersection2(all_0_8_8, all_23_1_23) = all_31_1_25
% 25.24/7.00 |
% 25.24/7.00 | Instantiating (47) with all_33_0_26, all_33_1_27 yields:
% 25.24/7.00 | (59) cartesian_product2(all_33_1_27, all_33_0_26) = all_0_6_6 & set_intersection2(all_0_7_7, all_0_9_9) = all_33_0_26 & set_intersection2(all_0_8_8, all_0_10_10) = all_33_1_27
% 25.24/7.00 |
% 25.24/7.00 | Applying alpha-rule on (59) yields:
% 25.24/7.00 | (60) cartesian_product2(all_33_1_27, all_33_0_26) = all_0_6_6
% 25.24/7.00 | (61) set_intersection2(all_0_7_7, all_0_9_9) = all_33_0_26
% 25.24/7.00 | (62) set_intersection2(all_0_8_8, all_0_10_10) = all_33_1_27
% 25.24/7.00 |
% 25.24/7.00 | Instantiating (45) with all_35_0_28, all_35_1_29 yields:
% 25.24/7.00 | (63) cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6 & set_intersection2(all_23_0_22, all_0_7_7) = all_35_0_28 & set_intersection2(all_23_1_23, all_0_8_8) = all_35_1_29
% 25.24/7.00 |
% 25.24/7.00 | Applying alpha-rule on (63) yields:
% 25.24/7.00 | (64) cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6
% 25.24/7.00 | (65) set_intersection2(all_23_0_22, all_0_7_7) = all_35_0_28
% 25.24/7.00 | (66) set_intersection2(all_23_1_23, all_0_8_8) = all_35_1_29
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (4) with all_0_6_6, all_35_0_28, all_35_1_29, all_0_9_9, all_0_10_10 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/7.00 | (67) all_35_0_28 = all_0_9_9 | all_0_9_9 = empty_set | all_0_10_10 = empty_set
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_33_0_26, all_33_1_27 and discharging atoms cartesian_product2(all_33_1_27, all_33_0_26) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.24/7.00 | (68) all_33_0_26 = all_0_9_9 | all_33_0_26 = empty_set | all_33_1_27 = empty_set
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (17) with all_0_7_7, all_0_9_9, all_23_0_22, all_33_0_26 and discharging atoms set_intersection2(all_0_7_7, all_0_9_9) = all_33_0_26, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, yields:
% 25.24/7.00 | (69) all_33_0_26 = all_23_0_22
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (17) with all_0_8_8, all_0_10_10, all_23_1_23, all_33_1_27 and discharging atoms set_intersection2(all_0_8_8, all_0_10_10) = all_33_1_27, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.24/7.00 | (70) all_33_1_27 = all_23_1_23
% 25.24/7.00 |
% 25.24/7.00 | From (70)(69) and (60) follows:
% 25.24/7.00 | (38) cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6
% 25.24/7.00 |
% 25.24/7.00 | From (69) and (61) follows:
% 25.24/7.00 | (50) set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22
% 25.24/7.00 |
% 25.24/7.00 | From (70) and (62) follows:
% 25.24/7.00 | (53) set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23
% 25.24/7.00 |
% 25.24/7.00 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_0_6_6, all_0_7_7, all_35_0_28, all_0_8_8, all_35_1_29 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/7.00 | (74) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_35_0_28, all_0_7_7) = v1 & set_intersection2(all_35_1_29, all_0_8_8) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_5_5, all_31_0_24, all_0_7_7, all_31_1_25, all_0_8_8 and discharging atoms cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_5_5, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (75) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_7_7, all_31_0_24) = v1 & set_intersection2(all_0_8_8, all_31_1_25) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_0_6_6, all_0_7_7, all_31_0_24, all_0_8_8, all_31_1_25 and discharging atoms cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.24/7.01 | (76) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_31_0_24, all_0_7_7) = v1 & set_intersection2(all_31_1_25, all_0_8_8) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (8) with all_0_9_9, all_23_0_22 and discharging atoms subset(all_23_0_22, all_0_9_9) = 0, yields:
% 25.24/7.01 | (77) set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (8) with all_0_10_10, all_23_1_23 and discharging atoms subset(all_23_1_23, all_0_10_10) = 0, yields:
% 25.24/7.01 | (78) set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (31) with all_35_0_28, all_0_7_7, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_0_7_7) = all_35_0_28, yields:
% 25.24/7.01 | (79) all_35_0_28 = all_23_0_22 | ? [v0] : ( ~ (v0 = 0) & subset(all_23_0_22, all_0_7_7) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (31) with all_35_1_29, all_0_8_8, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_0_8_8) = all_35_1_29, yields:
% 25.24/7.01 | (80) all_35_1_29 = all_23_1_23 | ? [v0] : ( ~ (v0 = 0) & subset(all_23_1_23, all_0_8_8) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_23_0_22, all_23_0_22, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (81) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_23_0_22, all_23_0_22) = v1 & set_intersection2(all_23_1_23, all_23_1_23) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_23_0_22, all_0_9_9, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (82) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = v1 & set_intersection2(all_0_10_10, all_23_1_23) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_23_0_22, all_35_0_28, all_23_1_23, all_35_1_29 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (83) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_35_0_28, all_23_0_22) = v1 & set_intersection2(all_35_1_29, all_23_1_23) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_23_0_22, all_31_0_24, all_23_1_23, all_31_1_25 and discharging atoms cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (84) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_31_0_24, all_23_0_22) = v1 & set_intersection2(all_31_1_25, all_23_1_23) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_9_9, all_23_0_22, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (85) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_23_0_22, all_0_9_9) = v1 & set_intersection2(all_23_1_23, all_0_10_10) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_9_9, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (86) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = v1 & set_intersection2(all_0_10_10, all_0_10_10) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_9_9, all_35_0_28, all_0_10_10, all_35_1_29 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (87) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_35_0_28, all_0_9_9) = v1 & set_intersection2(all_35_1_29, all_0_10_10) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_9_9, all_31_0_24, all_0_10_10, all_31_1_25 and discharging atoms cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (88) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_31_0_24, all_0_9_9) = v1 & set_intersection2(all_31_1_25, all_0_10_10) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_35_0_28, all_23_0_22, all_35_1_29, all_23_1_23 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (89) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_23_0_22, all_35_0_28) = v1 & set_intersection2(all_23_1_23, all_35_1_29) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_35_0_28, all_0_9_9, all_35_1_29, all_0_10_10 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (90) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_35_0_28) = v1 & set_intersection2(all_0_10_10, all_35_1_29) = v0)
% 25.24/7.01 |
% 25.24/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_35_0_28, all_35_0_28, all_35_1_29, all_35_1_29 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.24/7.01 | (91) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_35_0_28, all_35_0_28) = v1 & set_intersection2(all_35_1_29, all_35_1_29) = v0)
% 25.38/7.01 |
% 25.38/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_35_0_28, all_31_0_24, all_35_1_29, all_31_1_25 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.38/7.01 | (92) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_31_0_24, all_35_0_28) = v1 & set_intersection2(all_31_1_25, all_35_1_29) = v0)
% 25.38/7.01 |
% 25.38/7.01 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_31_0_24, all_0_9_9, all_31_1_25, all_0_10_10 and discharging atoms cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.38/7.02 | (93) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_31_0_24) = v1 & set_intersection2(all_0_10_10, all_31_1_25) = v0)
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_31_0_24, all_35_0_28, all_31_1_25, all_35_1_29 and discharging atoms cartesian_product2(all_35_1_29, all_35_0_28) = all_0_6_6, cartesian_product2(all_31_1_25, all_31_0_24) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.38/7.02 | (94) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_35_0_28, all_31_0_24) = v1 & set_intersection2(all_35_1_29, all_31_1_25) = v0)
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (21) with all_31_0_24, all_0_7_7, all_23_0_22 and discharging atoms set_intersection2(all_0_7_7, all_23_0_22) = all_31_0_24, yields:
% 25.38/7.02 | (95) set_intersection2(all_23_0_22, all_0_7_7) = all_31_0_24
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (16) with all_31_0_24, all_23_0_22, all_0_7_7 and discharging atoms set_intersection2(all_0_7_7, all_23_0_22) = all_31_0_24, yields:
% 25.38/7.02 | (96) subset(all_31_0_24, all_0_7_7) = 0
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.38/7.02 | (97) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (16) with all_23_0_22, all_0_9_9, all_0_7_7 and discharging atoms set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, yields:
% 25.38/7.02 | (98) subset(all_23_0_22, all_0_7_7) = 0
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (21) with all_31_1_25, all_0_8_8, all_23_1_23 and discharging atoms set_intersection2(all_0_8_8, all_23_1_23) = all_31_1_25, yields:
% 25.38/7.02 | (99) set_intersection2(all_23_1_23, all_0_8_8) = all_31_1_25
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (16) with all_31_1_25, all_23_1_23, all_0_8_8 and discharging atoms set_intersection2(all_0_8_8, all_23_1_23) = all_31_1_25, yields:
% 25.38/7.02 | (100) subset(all_31_1_25, all_0_8_8) = 0
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_0_9_9, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.38/7.02 | (101) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.38/7.02 |
% 25.38/7.02 | Instantiating formula (16) with all_23_1_23, all_0_10_10, all_0_8_8 and discharging atoms set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.38/7.02 | (102) subset(all_23_1_23, all_0_8_8) = 0
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (101) with all_47_0_30, all_47_1_31 yields:
% 25.38/7.02 | (103) cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31 & cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30 & set_intersection2(all_47_1_31, all_47_0_30) = all_0_6_6
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (103) yields:
% 25.38/7.02 | (104) cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31
% 25.38/7.02 | (105) cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30
% 25.38/7.02 | (106) set_intersection2(all_47_1_31, all_47_0_30) = all_0_6_6
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (84) with all_49_0_32, all_49_1_33 yields:
% 25.38/7.02 | (107) cartesian_product2(all_49_1_33, all_49_0_32) = all_0_6_6 & set_intersection2(all_31_0_24, all_23_0_22) = all_49_0_32 & set_intersection2(all_31_1_25, all_23_1_23) = all_49_1_33
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (107) yields:
% 25.38/7.02 | (108) cartesian_product2(all_49_1_33, all_49_0_32) = all_0_6_6
% 25.38/7.02 | (109) set_intersection2(all_31_0_24, all_23_0_22) = all_49_0_32
% 25.38/7.02 | (110) set_intersection2(all_31_1_25, all_23_1_23) = all_49_1_33
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (82) with all_51_0_34, all_51_1_35 yields:
% 25.38/7.02 | (111) cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34 & set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (111) yields:
% 25.38/7.02 | (112) cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6
% 25.38/7.02 | (113) set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34
% 25.38/7.02 | (114) set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (81) with all_53_0_36, all_53_1_37 yields:
% 25.38/7.02 | (115) cartesian_product2(all_53_1_37, all_53_0_36) = all_0_6_6 & set_intersection2(all_23_0_22, all_23_0_22) = all_53_0_36 & set_intersection2(all_23_1_23, all_23_1_23) = all_53_1_37
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (115) yields:
% 25.38/7.02 | (116) cartesian_product2(all_53_1_37, all_53_0_36) = all_0_6_6
% 25.38/7.02 | (117) set_intersection2(all_23_0_22, all_23_0_22) = all_53_0_36
% 25.38/7.02 | (118) set_intersection2(all_23_1_23, all_23_1_23) = all_53_1_37
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (83) with all_55_0_38, all_55_1_39 yields:
% 25.38/7.02 | (119) cartesian_product2(all_55_1_39, all_55_0_38) = all_0_6_6 & set_intersection2(all_35_0_28, all_23_0_22) = all_55_0_38 & set_intersection2(all_35_1_29, all_23_1_23) = all_55_1_39
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (119) yields:
% 25.38/7.02 | (120) cartesian_product2(all_55_1_39, all_55_0_38) = all_0_6_6
% 25.38/7.02 | (121) set_intersection2(all_35_0_28, all_23_0_22) = all_55_0_38
% 25.38/7.02 | (122) set_intersection2(all_35_1_29, all_23_1_23) = all_55_1_39
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (97) with all_57_0_40, all_57_1_41 yields:
% 25.38/7.02 | (123) cartesian_product2(all_0_8_8, all_0_9_9) = all_57_0_40 & cartesian_product2(all_0_10_10, all_0_7_7) = all_57_1_41 & set_intersection2(all_57_1_41, all_57_0_40) = all_0_6_6
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (123) yields:
% 25.38/7.02 | (124) cartesian_product2(all_0_8_8, all_0_9_9) = all_57_0_40
% 25.38/7.02 | (125) cartesian_product2(all_0_10_10, all_0_7_7) = all_57_1_41
% 25.38/7.02 | (126) set_intersection2(all_57_1_41, all_57_0_40) = all_0_6_6
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (94) with all_61_0_44, all_61_1_45 yields:
% 25.38/7.02 | (127) cartesian_product2(all_61_1_45, all_61_0_44) = all_0_6_6 & set_intersection2(all_35_0_28, all_31_0_24) = all_61_0_44 & set_intersection2(all_35_1_29, all_31_1_25) = all_61_1_45
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (127) yields:
% 25.38/7.02 | (128) cartesian_product2(all_61_1_45, all_61_0_44) = all_0_6_6
% 25.38/7.02 | (129) set_intersection2(all_35_0_28, all_31_0_24) = all_61_0_44
% 25.38/7.02 | (130) set_intersection2(all_35_1_29, all_31_1_25) = all_61_1_45
% 25.38/7.02 |
% 25.38/7.02 | Instantiating (76) with all_63_0_46, all_63_1_47 yields:
% 25.38/7.02 | (131) cartesian_product2(all_63_1_47, all_63_0_46) = all_0_6_6 & set_intersection2(all_31_0_24, all_0_7_7) = all_63_0_46 & set_intersection2(all_31_1_25, all_0_8_8) = all_63_1_47
% 25.38/7.02 |
% 25.38/7.02 | Applying alpha-rule on (131) yields:
% 25.38/7.02 | (132) cartesian_product2(all_63_1_47, all_63_0_46) = all_0_6_6
% 25.38/7.02 | (133) set_intersection2(all_31_0_24, all_0_7_7) = all_63_0_46
% 25.38/7.03 | (134) set_intersection2(all_31_1_25, all_0_8_8) = all_63_1_47
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (75) with all_65_0_48, all_65_1_49 yields:
% 25.38/7.03 | (135) cartesian_product2(all_65_1_49, all_65_0_48) = all_0_6_6 & set_intersection2(all_0_7_7, all_31_0_24) = all_65_0_48 & set_intersection2(all_0_8_8, all_31_1_25) = all_65_1_49
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (135) yields:
% 25.38/7.03 | (136) cartesian_product2(all_65_1_49, all_65_0_48) = all_0_6_6
% 25.38/7.03 | (137) set_intersection2(all_0_7_7, all_31_0_24) = all_65_0_48
% 25.38/7.03 | (138) set_intersection2(all_0_8_8, all_31_1_25) = all_65_1_49
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (74) with all_67_0_50, all_67_1_51 yields:
% 25.38/7.03 | (139) cartesian_product2(all_67_1_51, all_67_0_50) = all_0_6_6 & set_intersection2(all_35_0_28, all_0_7_7) = all_67_0_50 & set_intersection2(all_35_1_29, all_0_8_8) = all_67_1_51
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (139) yields:
% 25.38/7.03 | (140) cartesian_product2(all_67_1_51, all_67_0_50) = all_0_6_6
% 25.38/7.03 | (141) set_intersection2(all_35_0_28, all_0_7_7) = all_67_0_50
% 25.38/7.03 | (142) set_intersection2(all_35_1_29, all_0_8_8) = all_67_1_51
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (93) with all_71_0_54, all_71_1_55 yields:
% 25.38/7.03 | (143) cartesian_product2(all_71_1_55, all_71_0_54) = all_0_6_6 & set_intersection2(all_0_9_9, all_31_0_24) = all_71_0_54 & set_intersection2(all_0_10_10, all_31_1_25) = all_71_1_55
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (143) yields:
% 25.38/7.03 | (144) cartesian_product2(all_71_1_55, all_71_0_54) = all_0_6_6
% 25.38/7.03 | (145) set_intersection2(all_0_9_9, all_31_0_24) = all_71_0_54
% 25.38/7.03 | (146) set_intersection2(all_0_10_10, all_31_1_25) = all_71_1_55
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (92) with all_75_0_58, all_75_1_59 yields:
% 25.38/7.03 | (147) cartesian_product2(all_75_1_59, all_75_0_58) = all_0_6_6 & set_intersection2(all_31_0_24, all_35_0_28) = all_75_0_58 & set_intersection2(all_31_1_25, all_35_1_29) = all_75_1_59
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (147) yields:
% 25.38/7.03 | (148) cartesian_product2(all_75_1_59, all_75_0_58) = all_0_6_6
% 25.38/7.03 | (149) set_intersection2(all_31_0_24, all_35_0_28) = all_75_0_58
% 25.38/7.03 | (150) set_intersection2(all_31_1_25, all_35_1_29) = all_75_1_59
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (91) with all_77_0_60, all_77_1_61 yields:
% 25.38/7.03 | (151) cartesian_product2(all_77_1_61, all_77_0_60) = all_0_6_6 & set_intersection2(all_35_0_28, all_35_0_28) = all_77_0_60 & set_intersection2(all_35_1_29, all_35_1_29) = all_77_1_61
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (151) yields:
% 25.38/7.03 | (152) cartesian_product2(all_77_1_61, all_77_0_60) = all_0_6_6
% 25.38/7.03 | (153) set_intersection2(all_35_0_28, all_35_0_28) = all_77_0_60
% 25.38/7.03 | (154) set_intersection2(all_35_1_29, all_35_1_29) = all_77_1_61
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (88) with all_79_0_62, all_79_1_63 yields:
% 25.38/7.03 | (155) cartesian_product2(all_79_1_63, all_79_0_62) = all_0_6_6 & set_intersection2(all_31_0_24, all_0_9_9) = all_79_0_62 & set_intersection2(all_31_1_25, all_0_10_10) = all_79_1_63
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (155) yields:
% 25.38/7.03 | (156) cartesian_product2(all_79_1_63, all_79_0_62) = all_0_6_6
% 25.38/7.03 | (157) set_intersection2(all_31_0_24, all_0_9_9) = all_79_0_62
% 25.38/7.03 | (158) set_intersection2(all_31_1_25, all_0_10_10) = all_79_1_63
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (86) with all_81_0_64, all_81_1_65 yields:
% 25.38/7.03 | (159) cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = all_81_0_64 & set_intersection2(all_0_10_10, all_0_10_10) = all_81_1_65
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (159) yields:
% 25.38/7.03 | (160) cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6
% 25.38/7.03 | (161) set_intersection2(all_0_9_9, all_0_9_9) = all_81_0_64
% 25.38/7.03 | (162) set_intersection2(all_0_10_10, all_0_10_10) = all_81_1_65
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (85) with all_83_0_66, all_83_1_67 yields:
% 25.38/7.03 | (163) cartesian_product2(all_83_1_67, all_83_0_66) = all_0_6_6 & set_intersection2(all_23_0_22, all_0_9_9) = all_83_0_66 & set_intersection2(all_23_1_23, all_0_10_10) = all_83_1_67
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (163) yields:
% 25.38/7.03 | (164) cartesian_product2(all_83_1_67, all_83_0_66) = all_0_6_6
% 25.38/7.03 | (165) set_intersection2(all_23_0_22, all_0_9_9) = all_83_0_66
% 25.38/7.03 | (166) set_intersection2(all_23_1_23, all_0_10_10) = all_83_1_67
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (87) with all_85_0_68, all_85_1_69 yields:
% 25.38/7.03 | (167) cartesian_product2(all_85_1_69, all_85_0_68) = all_0_6_6 & set_intersection2(all_35_0_28, all_0_9_9) = all_85_0_68 & set_intersection2(all_35_1_29, all_0_10_10) = all_85_1_69
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (167) yields:
% 25.38/7.03 | (168) cartesian_product2(all_85_1_69, all_85_0_68) = all_0_6_6
% 25.38/7.03 | (169) set_intersection2(all_35_0_28, all_0_9_9) = all_85_0_68
% 25.38/7.03 | (170) set_intersection2(all_35_1_29, all_0_10_10) = all_85_1_69
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (90) with all_87_0_70, all_87_1_71 yields:
% 25.38/7.03 | (171) cartesian_product2(all_87_1_71, all_87_0_70) = all_0_6_6 & set_intersection2(all_0_9_9, all_35_0_28) = all_87_0_70 & set_intersection2(all_0_10_10, all_35_1_29) = all_87_1_71
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (171) yields:
% 25.38/7.03 | (172) cartesian_product2(all_87_1_71, all_87_0_70) = all_0_6_6
% 25.38/7.03 | (173) set_intersection2(all_0_9_9, all_35_0_28) = all_87_0_70
% 25.38/7.03 | (174) set_intersection2(all_0_10_10, all_35_1_29) = all_87_1_71
% 25.38/7.03 |
% 25.38/7.03 | Instantiating (89) with all_89_0_72, all_89_1_73 yields:
% 25.38/7.03 | (175) cartesian_product2(all_89_1_73, all_89_0_72) = all_0_6_6 & set_intersection2(all_23_0_22, all_35_0_28) = all_89_0_72 & set_intersection2(all_23_1_23, all_35_1_29) = all_89_1_73
% 25.38/7.03 |
% 25.38/7.03 | Applying alpha-rule on (175) yields:
% 25.38/7.03 | (176) cartesian_product2(all_89_1_73, all_89_0_72) = all_0_6_6
% 25.38/7.03 | (177) set_intersection2(all_23_0_22, all_35_0_28) = all_89_0_72
% 25.38/7.03 | (178) set_intersection2(all_23_1_23, all_35_1_29) = all_89_1_73
% 25.38/7.03 |
% 25.38/7.03 +-Applying beta-rule and splitting (80), into two cases.
% 25.38/7.03 |-Branch one:
% 25.38/7.03 | (179) all_35_1_29 = all_23_1_23
% 25.38/7.03 |
% 25.38/7.03 | From (179)(179) and (154) follows:
% 25.38/7.03 | (180) set_intersection2(all_23_1_23, all_23_1_23) = all_77_1_61
% 25.38/7.03 |
% 25.38/7.03 | From (179) and (130) follows:
% 25.38/7.03 | (181) set_intersection2(all_23_1_23, all_31_1_25) = all_61_1_45
% 25.38/7.03 |
% 25.38/7.03 | From (179) and (122) follows:
% 25.38/7.03 | (182) set_intersection2(all_23_1_23, all_23_1_23) = all_55_1_39
% 25.38/7.03 |
% 25.38/7.03 | From (179) and (142) follows:
% 25.38/7.03 | (183) set_intersection2(all_23_1_23, all_0_8_8) = all_67_1_51
% 25.38/7.03 |
% 25.38/7.03 | From (179) and (170) follows:
% 25.38/7.03 | (184) set_intersection2(all_23_1_23, all_0_10_10) = all_85_1_69
% 25.38/7.04 |
% 25.38/7.04 | From (179) and (150) follows:
% 25.38/7.04 | (185) set_intersection2(all_31_1_25, all_23_1_23) = all_75_1_59
% 25.38/7.04 |
% 25.38/7.04 | From (179) and (178) follows:
% 25.38/7.04 | (186) set_intersection2(all_23_1_23, all_23_1_23) = all_89_1_73
% 25.38/7.04 |
% 25.38/7.04 | From (179) and (66) follows:
% 25.38/7.04 | (187) set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23
% 25.38/7.04 |
% 25.38/7.04 | From (179) and (174) follows:
% 25.38/7.04 | (188) set_intersection2(all_0_10_10, all_23_1_23) = all_87_1_71
% 25.38/7.04 |
% 25.38/7.04 +-Applying beta-rule and splitting (79), into two cases.
% 25.38/7.04 |-Branch one:
% 25.38/7.04 | (189) all_35_0_28 = all_23_0_22
% 25.38/7.04 |
% 25.38/7.04 | From (189)(189) and (153) follows:
% 25.38/7.04 | (190) set_intersection2(all_23_0_22, all_23_0_22) = all_77_0_60
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (129) follows:
% 25.38/7.04 | (191) set_intersection2(all_23_0_22, all_31_0_24) = all_61_0_44
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (121) follows:
% 25.38/7.04 | (192) set_intersection2(all_23_0_22, all_23_0_22) = all_55_0_38
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (141) follows:
% 25.38/7.04 | (193) set_intersection2(all_23_0_22, all_0_7_7) = all_67_0_50
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (169) follows:
% 25.38/7.04 | (194) set_intersection2(all_23_0_22, all_0_9_9) = all_85_0_68
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (149) follows:
% 25.38/7.04 | (195) set_intersection2(all_31_0_24, all_23_0_22) = all_75_0_58
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (177) follows:
% 25.38/7.04 | (196) set_intersection2(all_23_0_22, all_23_0_22) = all_89_0_72
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (65) follows:
% 25.38/7.04 | (197) set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22
% 25.38/7.04 |
% 25.38/7.04 | From (189) and (173) follows:
% 25.38/7.04 | (198) set_intersection2(all_0_9_9, all_23_0_22) = all_87_0_70
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_81_0_64, all_81_1_65, all_83_0_66, all_83_1_67 and discharging atoms cartesian_product2(all_83_1_67, all_83_0_66) = all_0_6_6, cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6, yields:
% 25.38/7.04 | (199) all_83_0_66 = all_81_0_64 | all_83_0_66 = empty_set | all_83_1_67 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_77_0_60, all_77_1_61 and discharging atoms cartesian_product2(all_77_1_61, all_77_0_60) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.38/7.04 | (200) all_77_0_60 = all_0_9_9 | all_77_0_60 = empty_set | all_77_1_61 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_75_0_58, all_75_1_59 and discharging atoms cartesian_product2(all_75_1_59, all_75_0_58) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.38/7.04 | (201) all_75_0_58 = all_0_9_9 | all_75_0_58 = empty_set | all_75_1_59 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_81_0_64, all_81_1_65, all_75_0_58, all_75_1_59 and discharging atoms cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6, cartesian_product2(all_75_1_59, all_75_0_58) = all_0_6_6, yields:
% 25.38/7.04 | (202) all_81_0_64 = all_75_0_58 | all_75_0_58 = empty_set | all_75_1_59 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_67_0_50, all_67_1_51 and discharging atoms cartesian_product2(all_67_1_51, all_67_0_50) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.38/7.04 | (203) all_67_0_50 = all_0_9_9 | all_67_0_50 = empty_set | all_67_1_51 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_81_0_64, all_81_1_65, all_67_0_50, all_67_1_51 and discharging atoms cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6, cartesian_product2(all_67_1_51, all_67_0_50) = all_0_6_6, yields:
% 25.38/7.04 | (204) all_81_0_64 = all_67_0_50 | all_67_0_50 = empty_set | all_67_1_51 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_81_0_64, all_81_1_65, all_65_0_48, all_65_1_49 and discharging atoms cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6, cartesian_product2(all_65_1_49, all_65_0_48) = all_0_6_6, yields:
% 25.38/7.04 | (205) all_81_0_64 = all_65_0_48 | all_65_0_48 = empty_set | all_65_1_49 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (15) with all_0_6_6, all_61_0_44, all_61_1_45, all_81_0_64, all_81_1_65 and discharging atoms cartesian_product2(all_81_1_65, all_81_0_64) = all_0_6_6, cartesian_product2(all_61_1_45, all_61_0_44) = all_0_6_6, yields:
% 25.38/7.04 | (206) all_81_0_64 = empty_set | all_81_1_65 = all_61_1_45 | all_81_1_65 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (15) with all_0_6_6, all_0_9_9, all_0_10_10, all_55_0_38, all_55_1_39 and discharging atoms cartesian_product2(all_55_1_39, all_55_0_38) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.38/7.04 | (207) all_55_0_38 = empty_set | all_55_1_39 = all_0_10_10 | all_55_1_39 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (4) with all_0_6_6, all_0_9_9, all_0_10_10, all_49_0_32, all_49_1_33 and discharging atoms cartesian_product2(all_49_1_33, all_49_0_32) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.38/7.04 | (208) all_49_0_32 = all_0_9_9 | all_49_0_32 = empty_set | all_49_1_33 = empty_set
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_47_1_31, all_57_0_40 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_57_0_40, cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31, yields:
% 25.38/7.04 | (209) all_57_0_40 = all_47_1_31
% 25.38/7.04 |
% 25.38/7.04 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_47_0_30, all_57_1_41 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_57_1_41, cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30, yields:
% 25.38/7.04 | (210) all_57_1_41 = all_47_0_30
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_31_0_24, all_23_0_22, all_49_0_32, all_75_0_58 and discharging atoms set_intersection2(all_31_0_24, all_23_0_22) = all_75_0_58, set_intersection2(all_31_0_24, all_23_0_22) = all_49_0_32, yields:
% 25.52/7.04 | (211) all_75_0_58 = all_49_0_32
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_31_1_25, all_23_1_23, all_49_1_33, all_75_1_59 and discharging atoms set_intersection2(all_31_1_25, all_23_1_23) = all_75_1_59, set_intersection2(all_31_1_25, all_23_1_23) = all_49_1_33, yields:
% 25.52/7.04 | (212) all_75_1_59 = all_49_1_33
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_77_0_60, all_89_0_72 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_89_0_72, set_intersection2(all_23_0_22, all_23_0_22) = all_77_0_60, yields:
% 25.52/7.04 | (213) all_89_0_72 = all_77_0_60
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_55_0_38, all_89_0_72 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_89_0_72, set_intersection2(all_23_0_22, all_23_0_22) = all_55_0_38, yields:
% 25.52/7.04 | (214) all_89_0_72 = all_55_0_38
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (7) with all_55_0_38, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_55_0_38, yields:
% 25.52/7.04 | (215) all_55_0_38 = all_23_0_22
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_53_0_36, all_89_0_72 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_89_0_72, set_intersection2(all_23_0_22, all_23_0_22) = all_53_0_36, yields:
% 25.52/7.04 | (216) all_89_0_72 = all_53_0_36
% 25.52/7.04 |
% 25.52/7.04 | Instantiating formula (17) with all_23_0_22, all_0_7_7, all_31_0_24, all_67_0_50 and discharging atoms set_intersection2(all_23_0_22, all_0_7_7) = all_67_0_50, set_intersection2(all_23_0_22, all_0_7_7) = all_31_0_24, yields:
% 25.52/7.05 | (217) all_67_0_50 = all_31_0_24
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_0_22, all_0_7_7, all_23_0_22, all_67_0_50 and discharging atoms set_intersection2(all_23_0_22, all_0_7_7) = all_67_0_50, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.05 | (218) all_67_0_50 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_0_22, all_0_9_9, all_83_0_66, all_85_0_68 and discharging atoms set_intersection2(all_23_0_22, all_0_9_9) = all_85_0_68, set_intersection2(all_23_0_22, all_0_9_9) = all_83_0_66, yields:
% 25.52/7.05 | (219) all_85_0_68 = all_83_0_66
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_0_22, all_0_9_9, all_23_0_22, all_85_0_68 and discharging atoms set_intersection2(all_23_0_22, all_0_9_9) = all_85_0_68, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.05 | (220) all_85_0_68 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_77_1_61, all_89_1_73 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_89_1_73, set_intersection2(all_23_1_23, all_23_1_23) = all_77_1_61, yields:
% 25.52/7.05 | (221) all_89_1_73 = all_77_1_61
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (7) with all_77_1_61, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_77_1_61, yields:
% 25.52/7.05 | (222) all_77_1_61 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_55_1_39, all_89_1_73 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_89_1_73, set_intersection2(all_23_1_23, all_23_1_23) = all_55_1_39, yields:
% 25.52/7.05 | (223) all_89_1_73 = all_55_1_39
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_53_1_37, all_77_1_61 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_77_1_61, set_intersection2(all_23_1_23, all_23_1_23) = all_53_1_37, yields:
% 25.52/7.05 | (224) all_77_1_61 = all_53_1_37
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_0_8_8, all_31_1_25, all_67_1_51 and discharging atoms set_intersection2(all_23_1_23, all_0_8_8) = all_67_1_51, set_intersection2(all_23_1_23, all_0_8_8) = all_31_1_25, yields:
% 25.52/7.05 | (225) all_67_1_51 = all_31_1_25
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_0_8_8, all_23_1_23, all_67_1_51 and discharging atoms set_intersection2(all_23_1_23, all_0_8_8) = all_67_1_51, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.05 | (226) all_67_1_51 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_0_10_10, all_83_1_67, all_85_1_69 and discharging atoms set_intersection2(all_23_1_23, all_0_10_10) = all_85_1_69, set_intersection2(all_23_1_23, all_0_10_10) = all_83_1_67, yields:
% 25.52/7.05 | (227) all_85_1_69 = all_83_1_67
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_23_1_23, all_0_10_10, all_23_1_23, all_85_1_69 and discharging atoms set_intersection2(all_23_1_23, all_0_10_10) = all_85_1_69, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.05 | (228) all_85_1_69 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_51_0_34, all_87_0_70 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_87_0_70, set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34, yields:
% 25.52/7.05 | (229) all_87_0_70 = all_51_0_34
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (7) with all_81_0_64, all_0_9_9 and discharging atoms set_intersection2(all_0_9_9, all_0_9_9) = all_81_0_64, yields:
% 25.52/7.05 | (230) all_81_0_64 = all_0_9_9
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (17) with all_0_10_10, all_23_1_23, all_51_1_35, all_87_1_71 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_87_1_71, set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35, yields:
% 25.52/7.05 | (231) all_87_1_71 = all_51_1_35
% 25.52/7.05 |
% 25.52/7.05 | Instantiating formula (7) with all_81_1_65, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_0_10_10) = all_81_1_65, yields:
% 25.52/7.05 | (232) all_81_1_65 = all_0_10_10
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (214,213) yields a new equation:
% 25.52/7.05 | (233) all_77_0_60 = all_55_0_38
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (216,213) yields a new equation:
% 25.52/7.05 | (234) all_77_0_60 = all_53_0_36
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (221,223) yields a new equation:
% 25.52/7.05 | (235) all_77_1_61 = all_55_1_39
% 25.52/7.05 |
% 25.52/7.05 | Simplifying 235 yields:
% 25.52/7.05 | (236) all_77_1_61 = all_55_1_39
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (220,219) yields a new equation:
% 25.52/7.05 | (237) all_83_0_66 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (228,227) yields a new equation:
% 25.52/7.05 | (238) all_83_1_67 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (233,234) yields a new equation:
% 25.52/7.05 | (239) all_55_0_38 = all_53_0_36
% 25.52/7.05 |
% 25.52/7.05 | Simplifying 239 yields:
% 25.52/7.05 | (240) all_55_0_38 = all_53_0_36
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (224,236) yields a new equation:
% 25.52/7.05 | (241) all_55_1_39 = all_53_1_37
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (222,236) yields a new equation:
% 25.52/7.05 | (242) all_55_1_39 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (217,218) yields a new equation:
% 25.52/7.05 | (243) all_31_0_24 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Simplifying 243 yields:
% 25.52/7.05 | (244) all_31_0_24 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (226,225) yields a new equation:
% 25.52/7.05 | (245) all_31_1_25 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (215,240) yields a new equation:
% 25.52/7.05 | (246) all_53_0_36 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (242,241) yields a new equation:
% 25.52/7.05 | (247) all_53_1_37 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (247,241) yields a new equation:
% 25.52/7.05 | (242) all_55_1_39 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (246,240) yields a new equation:
% 25.52/7.05 | (215) all_55_0_38 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (245,225) yields a new equation:
% 25.52/7.05 | (226) all_67_1_51 = all_23_1_23
% 25.52/7.05 |
% 25.52/7.05 | Combining equations (246,234) yields a new equation:
% 25.52/7.05 | (251) all_77_0_60 = all_23_0_22
% 25.52/7.05 |
% 25.52/7.05 | From (232)(230) and (160) follows:
% 25.52/7.05 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 25.52/7.05 |
% 25.52/7.05 | From (212)(211) and (148) follows:
% 25.52/7.06 | (108) cartesian_product2(all_49_1_33, all_49_0_32) = all_0_6_6
% 25.52/7.06 |
% 25.52/7.06 | From (209) and (124) follows:
% 25.52/7.06 | (104) cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31
% 25.52/7.06 |
% 25.52/7.06 | From (210) and (125) follows:
% 25.52/7.06 | (105) cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (96) follows:
% 25.52/7.06 | (98) subset(all_23_0_22, all_0_7_7) = 0
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (100) follows:
% 25.52/7.06 | (102) subset(all_23_1_23, all_0_8_8) = 0
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (109) follows:
% 25.52/7.06 | (258) set_intersection2(all_23_0_22, all_23_0_22) = all_49_0_32
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (133) follows:
% 25.52/7.06 | (259) set_intersection2(all_23_0_22, all_0_7_7) = all_63_0_46
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (157) follows:
% 25.52/7.06 | (260) set_intersection2(all_23_0_22, all_0_9_9) = all_79_0_62
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (110) follows:
% 25.52/7.06 | (261) set_intersection2(all_23_1_23, all_23_1_23) = all_49_1_33
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (134) follows:
% 25.52/7.06 | (262) set_intersection2(all_23_1_23, all_0_8_8) = all_63_1_47
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (158) follows:
% 25.52/7.06 | (263) set_intersection2(all_23_1_23, all_0_10_10) = all_79_1_63
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (191) follows:
% 25.52/7.06 | (264) set_intersection2(all_23_0_22, all_23_0_22) = all_61_0_44
% 25.52/7.06 |
% 25.52/7.06 | From (246) and (117) follows:
% 25.52/7.06 | (265) set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (95) follows:
% 25.52/7.06 | (197) set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | From (237) and (165) follows:
% 25.52/7.06 | (77) set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (181) follows:
% 25.52/7.06 | (268) set_intersection2(all_23_1_23, all_23_1_23) = all_61_1_45
% 25.52/7.06 |
% 25.52/7.06 | From (247) and (118) follows:
% 25.52/7.06 | (269) set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (99) follows:
% 25.52/7.06 | (187) set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23
% 25.52/7.06 |
% 25.52/7.06 | From (238) and (166) follows:
% 25.52/7.06 | (78) set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (137) follows:
% 25.52/7.06 | (272) set_intersection2(all_0_7_7, all_23_0_22) = all_65_0_48
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (57) follows:
% 25.52/7.06 | (273) set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (138) follows:
% 25.52/7.06 | (274) set_intersection2(all_0_8_8, all_23_1_23) = all_65_1_49
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (58) follows:
% 25.52/7.06 | (275) set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23
% 25.52/7.06 |
% 25.52/7.06 | From (244) and (145) follows:
% 25.52/7.06 | (276) set_intersection2(all_0_9_9, all_23_0_22) = all_71_0_54
% 25.52/7.06 |
% 25.52/7.06 | From (229) and (198) follows:
% 25.52/7.06 | (113) set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34
% 25.52/7.06 |
% 25.52/7.06 | From (230) and (161) follows:
% 25.52/7.06 | (278) set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9
% 25.52/7.06 |
% 25.52/7.06 | From (245) and (146) follows:
% 25.52/7.06 | (279) set_intersection2(all_0_10_10, all_23_1_23) = all_71_1_55
% 25.52/7.06 |
% 25.52/7.06 | From (231) and (188) follows:
% 25.52/7.06 | (114) set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35
% 25.52/7.06 |
% 25.52/7.06 | From (232) and (162) follows:
% 25.52/7.06 | (281) set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_49_0_32, all_61_0_44 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_61_0_44, set_intersection2(all_23_0_22, all_23_0_22) = all_49_0_32, yields:
% 25.52/7.06 | (282) all_61_0_44 = all_49_0_32
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_23_0_22, all_61_0_44 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_61_0_44, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, yields:
% 25.52/7.06 | (283) all_61_0_44 = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_0_22, all_0_7_7, all_63_0_46, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_0_7_7) = all_63_0_46, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.06 | (284) all_63_0_46 = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_0_22, all_0_9_9, all_79_0_62, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_0_9_9) = all_79_0_62, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.06 | (285) all_79_0_62 = all_23_0_22
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_49_1_33, all_61_1_45 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_61_1_45, set_intersection2(all_23_1_23, all_23_1_23) = all_49_1_33, yields:
% 25.52/7.06 | (286) all_61_1_45 = all_49_1_33
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_23_1_23, all_61_1_45 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_61_1_45, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.06 | (287) all_61_1_45 = all_23_1_23
% 25.52/7.06 |
% 25.52/7.06 | Instantiating formula (17) with all_23_1_23, all_0_8_8, all_63_1_47, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_0_8_8) = all_63_1_47, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.07 | (288) all_63_1_47 = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (17) with all_23_1_23, all_0_10_10, all_79_1_63, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_0_10_10) = all_79_1_63, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.07 | (289) all_79_1_63 = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (17) with all_0_7_7, all_23_0_22, all_65_0_48, all_23_0_22 and discharging atoms set_intersection2(all_0_7_7, all_23_0_22) = all_65_0_48, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, yields:
% 25.52/7.07 | (290) all_65_0_48 = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (17) with all_0_8_8, all_23_1_23, all_65_1_49, all_23_1_23 and discharging atoms set_intersection2(all_0_8_8, all_23_1_23) = all_65_1_49, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.07 | (291) all_65_1_49 = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_71_0_54, all_51_0_34 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_71_0_54, set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34, yields:
% 25.52/7.07 | (292) all_71_0_54 = all_51_0_34
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (17) with all_0_10_10, all_23_1_23, all_71_1_55, all_51_1_35 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_71_1_55, set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35, yields:
% 25.52/7.07 | (293) all_71_1_55 = all_51_1_35
% 25.52/7.07 |
% 25.52/7.07 | Combining equations (283,282) yields a new equation:
% 25.52/7.07 | (294) all_49_0_32 = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | Combining equations (286,287) yields a new equation:
% 25.52/7.07 | (295) all_49_1_33 = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | Simplifying 295 yields:
% 25.52/7.07 | (296) all_49_1_33 = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | Combining equations (294,211) yields a new equation:
% 25.52/7.07 | (297) all_75_0_58 = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | From (293)(292) and (144) follows:
% 25.52/7.07 | (112) cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6
% 25.52/7.07 |
% 25.52/7.07 | From (296)(294) and (108) follows:
% 25.52/7.07 | (38) cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6
% 25.52/7.07 |
% 25.52/7.07 | From (294) and (258) follows:
% 25.52/7.07 | (265) set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | From (284) and (259) follows:
% 25.52/7.07 | (197) set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | From (285) and (260) follows:
% 25.52/7.07 | (77) set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | From (296) and (261) follows:
% 25.52/7.07 | (269) set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | From (288) and (262) follows:
% 25.52/7.07 | (187) set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | From (289) and (263) follows:
% 25.52/7.07 | (78) set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | From (290) and (272) follows:
% 25.52/7.07 | (273) set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22
% 25.52/7.07 |
% 25.52/7.07 | From (291) and (274) follows:
% 25.52/7.07 | (275) set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23
% 25.52/7.07 |
% 25.52/7.07 | From (292) and (276) follows:
% 25.52/7.07 | (113) set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34
% 25.52/7.07 |
% 25.52/7.07 | From (293) and (279) follows:
% 25.52/7.07 | (114) set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_51_0_34, all_23_0_22, all_51_1_35, all_23_1_23 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.52/7.07 | (310) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_23_0_22, all_51_0_34) = v1 & set_intersection2(all_23_1_23, all_51_1_35) = v0)
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_23_0_22, all_51_0_34, all_23_1_23, all_51_1_35 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.52/7.07 | (311) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_51_0_34, all_23_0_22) = v1 & set_intersection2(all_51_1_35, all_23_1_23) = v0)
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_5_5, all_51_0_34, all_0_7_7, all_51_1_35, all_0_8_8 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_5_5, all_0_6_6) = all_0_6_6, yields:
% 25.52/7.07 | (312) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_7_7, all_51_0_34) = v1 & set_intersection2(all_0_8_8, all_51_1_35) = v0)
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_5_5, all_0_6_6, all_0_7_7, all_51_0_34, all_0_8_8, all_51_1_35 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_0_8_8, all_0_7_7) = all_0_5_5, set_intersection2(all_0_6_6, all_0_5_5) = all_0_6_6, yields:
% 25.52/7.07 | (313) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_51_0_34, all_0_7_7) = v1 & set_intersection2(all_51_1_35, all_0_8_8) = v0)
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_51_0_34, all_0_9_9, all_51_1_35, all_0_10_10 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.52/7.07 | (314) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_51_0_34) = v1 & set_intersection2(all_0_10_10, all_51_1_35) = v0)
% 25.52/7.07 |
% 25.52/7.07 | Instantiating formula (28) with all_0_6_6, all_0_6_6, all_0_6_6, all_0_9_9, all_51_0_34, all_0_10_10, all_51_1_35 and discharging atoms cartesian_product2(all_51_1_35, all_51_0_34) = all_0_6_6, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_0_6_6) = all_0_6_6, yields:
% 25.52/7.07 | (315) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_51_0_34, all_0_9_9) = v1 & set_intersection2(all_51_1_35, all_0_10_10) = v0)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.08 | (316) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.08 | (317) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.08 | (318) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.08 | (319) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_7_7) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.08 | (320) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.08 | (321) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (21) with all_23_0_22, all_23_0_22, all_0_9_9 and discharging atoms set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.08 | (322) set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.08 | (323) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v0 & cartesian_product2(all_23_1_23, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_0_9_9, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.08 | (324) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v1 & cartesian_product2(all_23_1_23, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.08 | (325) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_23_1_23, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.08 | (326) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_23_1_23, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.08 | (327) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v0 & cartesian_product2(all_0_8_8, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_0_9_9, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.08 | (328) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_8_8, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.08 | (329) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_0_8_8, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.08 | (330) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_0_8_8, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.08 |
% 25.52/7.08 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, yields:
% 25.52/7.08 | (331) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_0_9_9, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.09 | (332) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.09 | (333) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.09 | (334) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (21) with all_23_1_23, all_23_1_23, all_0_10_10 and discharging atoms set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.09 | (335) set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_7_7, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, yields:
% 25.52/7.09 | (336) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_7_7) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_7_7, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.52/7.09 | (337) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_7_7, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, yields:
% 25.52/7.09 | (338) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_23_1_23, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_7_7, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, yields:
% 25.52/7.09 | (339) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.09 | (340) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_8_8, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_0_9_9, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.52/7.09 | (341) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v1 & cartesian_product2(all_0_8_8, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.09 | (342) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_0_8_8, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.09 | (343) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_8_8, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (31) with all_51_0_34, all_23_0_22, all_0_9_9 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34, yields:
% 25.52/7.09 | (344) all_51_0_34 = all_0_9_9 | ? [v0] : ( ~ (v0 = 0) & subset(all_0_9_9, all_23_0_22) = v0)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (21) with all_51_0_34, all_0_9_9, all_23_0_22 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34, yields:
% 25.52/7.09 | (345) set_intersection2(all_23_0_22, all_0_9_9) = all_51_0_34
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (31) with all_51_1_35, all_23_1_23, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35, yields:
% 25.52/7.09 | (346) all_51_1_35 = all_0_10_10 | ? [v0] : ( ~ (v0 = 0) & subset(all_0_10_10, all_23_1_23) = v0)
% 25.52/7.09 |
% 25.52/7.09 | Instantiating formula (21) with all_51_1_35, all_0_10_10, all_23_1_23 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35, yields:
% 25.52/7.09 | (347) set_intersection2(all_23_1_23, all_0_10_10) = all_51_1_35
% 25.52/7.09 |
% 25.52/7.09 | Instantiating (336) with all_113_0_74, all_113_1_75 yields:
% 25.52/7.09 | (348) cartesian_product2(all_0_8_8, all_0_7_7) = all_113_1_75 & cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74 & set_intersection2(all_113_1_75, all_113_0_74) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Applying alpha-rule on (348) yields:
% 25.52/7.09 | (349) cartesian_product2(all_0_8_8, all_0_7_7) = all_113_1_75
% 25.52/7.09 | (350) cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74
% 25.52/7.09 | (351) set_intersection2(all_113_1_75, all_113_0_74) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Instantiating (320) with all_115_0_76, all_115_1_77 yields:
% 25.52/7.09 | (352) cartesian_product2(all_0_8_8, all_23_0_22) = all_115_1_77 & cartesian_product2(all_0_10_10, all_0_9_9) = all_115_0_76 & set_intersection2(all_115_1_77, all_115_0_76) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Applying alpha-rule on (352) yields:
% 25.52/7.09 | (353) cartesian_product2(all_0_8_8, all_23_0_22) = all_115_1_77
% 25.52/7.09 | (354) cartesian_product2(all_0_10_10, all_0_9_9) = all_115_0_76
% 25.52/7.09 | (355) set_intersection2(all_115_1_77, all_115_0_76) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Instantiating (318) with all_117_0_78, all_117_1_79 yields:
% 25.52/7.09 | (356) cartesian_product2(all_0_8_8, all_23_0_22) = all_117_1_79 & cartesian_product2(all_0_10_10, all_0_7_7) = all_117_0_78 & set_intersection2(all_117_1_79, all_117_0_78) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Applying alpha-rule on (356) yields:
% 25.52/7.09 | (357) cartesian_product2(all_0_8_8, all_23_0_22) = all_117_1_79
% 25.52/7.09 | (358) cartesian_product2(all_0_10_10, all_0_7_7) = all_117_0_78
% 25.52/7.09 | (359) set_intersection2(all_117_1_79, all_117_0_78) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Instantiating (317) with all_119_0_80, all_119_1_81 yields:
% 25.52/7.09 | (360) cartesian_product2(all_0_8_8, all_23_0_22) = all_119_0_80 & cartesian_product2(all_0_10_10, all_23_0_22) = all_119_1_81 & set_intersection2(all_119_1_81, all_119_0_80) = all_0_6_6
% 25.52/7.09 |
% 25.52/7.09 | Applying alpha-rule on (360) yields:
% 25.52/7.09 | (361) cartesian_product2(all_0_8_8, all_23_0_22) = all_119_0_80
% 25.52/7.10 | (362) cartesian_product2(all_0_10_10, all_23_0_22) = all_119_1_81
% 25.52/7.10 | (363) set_intersection2(all_119_1_81, all_119_0_80) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (332) with all_121_0_82, all_121_1_83 yields:
% 25.52/7.10 | (364) cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83 & cartesian_product2(all_0_10_10, all_0_7_7) = all_121_0_82 & set_intersection2(all_121_1_83, all_121_0_82) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (364) yields:
% 25.52/7.10 | (365) cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83
% 25.52/7.10 | (366) cartesian_product2(all_0_10_10, all_0_7_7) = all_121_0_82
% 25.52/7.10 | (367) set_intersection2(all_121_1_83, all_121_0_82) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (331) with all_123_0_84, all_123_1_85 yields:
% 25.52/7.10 | (368) cartesian_product2(all_23_1_23, all_0_7_7) = all_123_1_85 & cartesian_product2(all_0_10_10, all_0_9_9) = all_123_0_84 & set_intersection2(all_123_1_85, all_123_0_84) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (368) yields:
% 25.52/7.10 | (369) cartesian_product2(all_23_1_23, all_0_7_7) = all_123_1_85
% 25.52/7.10 | (370) cartesian_product2(all_0_10_10, all_0_9_9) = all_123_0_84
% 25.52/7.10 | (371) set_intersection2(all_123_1_85, all_123_0_84) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (328) with all_125_0_86, all_125_1_87 yields:
% 25.52/7.10 | (372) cartesian_product2(all_23_1_23, all_0_9_9) = all_125_1_87 & cartesian_product2(all_0_8_8, all_0_7_7) = all_125_0_86 & set_intersection2(all_125_1_87, all_125_0_86) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (372) yields:
% 25.52/7.10 | (373) cartesian_product2(all_23_1_23, all_0_9_9) = all_125_1_87
% 25.52/7.10 | (374) cartesian_product2(all_0_8_8, all_0_7_7) = all_125_0_86
% 25.52/7.10 | (375) set_intersection2(all_125_1_87, all_125_0_86) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (327) with all_127_0_88, all_127_1_89 yields:
% 25.52/7.10 | (376) cartesian_product2(all_23_1_23, all_0_7_7) = all_127_1_89 & cartesian_product2(all_0_8_8, all_0_9_9) = all_127_0_88 & set_intersection2(all_127_1_89, all_127_0_88) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (376) yields:
% 25.52/7.10 | (377) cartesian_product2(all_23_1_23, all_0_7_7) = all_127_1_89
% 25.52/7.10 | (378) cartesian_product2(all_0_8_8, all_0_9_9) = all_127_0_88
% 25.52/7.10 | (379) set_intersection2(all_127_1_89, all_127_0_88) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (343) with all_129_0_90, all_129_1_91 yields:
% 25.52/7.10 | (380) cartesian_product2(all_23_1_23, all_0_9_9) = all_129_0_90 & cartesian_product2(all_0_8_8, all_23_0_22) = all_129_1_91 & set_intersection2(all_129_1_91, all_129_0_90) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (380) yields:
% 25.52/7.10 | (381) cartesian_product2(all_23_1_23, all_0_9_9) = all_129_0_90
% 25.52/7.10 | (382) cartesian_product2(all_0_8_8, all_23_0_22) = all_129_1_91
% 25.52/7.10 | (383) set_intersection2(all_129_1_91, all_129_0_90) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (321) with all_131_0_92, all_131_1_93 yields:
% 25.52/7.10 | (384) cartesian_product2(all_0_8_8, all_0_9_9) = all_131_0_92 & cartesian_product2(all_0_10_10, all_23_0_22) = all_131_1_93 & set_intersection2(all_131_1_93, all_131_0_92) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (384) yields:
% 25.52/7.10 | (385) cartesian_product2(all_0_8_8, all_0_9_9) = all_131_0_92
% 25.52/7.10 | (386) cartesian_product2(all_0_10_10, all_23_0_22) = all_131_1_93
% 25.52/7.10 | (387) set_intersection2(all_131_1_93, all_131_0_92) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (326) with all_133_0_94, all_133_1_95 yields:
% 25.52/7.10 | (388) cartesian_product2(all_23_1_23, all_23_0_22) = all_133_1_95 & cartesian_product2(all_23_1_23, all_0_9_9) = all_133_0_94 & set_intersection2(all_133_1_95, all_133_0_94) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (388) yields:
% 25.52/7.10 | (389) cartesian_product2(all_23_1_23, all_23_0_22) = all_133_1_95
% 25.52/7.10 | (390) cartesian_product2(all_23_1_23, all_0_9_9) = all_133_0_94
% 25.52/7.10 | (391) set_intersection2(all_133_1_95, all_133_0_94) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (325) with all_135_0_96, all_135_1_97 yields:
% 25.52/7.10 | (392) cartesian_product2(all_23_1_23, all_23_0_22) = all_135_1_97 & cartesian_product2(all_23_1_23, all_0_7_7) = all_135_0_96 & set_intersection2(all_135_1_97, all_135_0_96) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (392) yields:
% 25.52/7.10 | (393) cartesian_product2(all_23_1_23, all_23_0_22) = all_135_1_97
% 25.52/7.10 | (394) cartesian_product2(all_23_1_23, all_0_7_7) = all_135_0_96
% 25.52/7.10 | (395) set_intersection2(all_135_1_97, all_135_0_96) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (334) with all_137_0_98, all_137_1_99 yields:
% 25.52/7.10 | (396) cartesian_product2(all_23_1_23, all_23_0_22) = all_137_1_99 & cartesian_product2(all_0_10_10, all_0_7_7) = all_137_0_98 & set_intersection2(all_137_1_99, all_137_0_98) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (396) yields:
% 25.52/7.10 | (397) cartesian_product2(all_23_1_23, all_23_0_22) = all_137_1_99
% 25.52/7.10 | (398) cartesian_product2(all_0_10_10, all_0_7_7) = all_137_0_98
% 25.52/7.10 | (399) set_intersection2(all_137_1_99, all_137_0_98) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (324) with all_139_0_100, all_139_1_101 yields:
% 25.52/7.10 | (400) cartesian_product2(all_23_1_23, all_0_7_7) = all_139_0_100 & cartesian_product2(all_23_1_23, all_0_9_9) = all_139_1_101 & set_intersection2(all_139_1_101, all_139_0_100) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (400) yields:
% 25.52/7.10 | (401) cartesian_product2(all_23_1_23, all_0_7_7) = all_139_0_100
% 25.52/7.10 | (402) cartesian_product2(all_23_1_23, all_0_9_9) = all_139_1_101
% 25.52/7.10 | (403) set_intersection2(all_139_1_101, all_139_0_100) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (323) with all_141_0_102, all_141_1_103 yields:
% 25.52/7.10 | (404) cartesian_product2(all_23_1_23, all_0_7_7) = all_141_1_103 & cartesian_product2(all_23_1_23, all_0_9_9) = all_141_0_102 & set_intersection2(all_141_1_103, all_141_0_102) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (404) yields:
% 25.52/7.10 | (405) cartesian_product2(all_23_1_23, all_0_7_7) = all_141_1_103
% 25.52/7.10 | (406) cartesian_product2(all_23_1_23, all_0_9_9) = all_141_0_102
% 25.52/7.10 | (407) set_intersection2(all_141_1_103, all_141_0_102) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (333) with all_143_0_104, all_143_1_105 yields:
% 25.52/7.10 | (408) cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105 & cartesian_product2(all_0_10_10, all_23_0_22) = all_143_0_104 & set_intersection2(all_143_1_105, all_143_0_104) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (408) yields:
% 25.52/7.10 | (409) cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105
% 25.52/7.10 | (410) cartesian_product2(all_0_10_10, all_23_0_22) = all_143_0_104
% 25.52/7.10 | (411) set_intersection2(all_143_1_105, all_143_0_104) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (330) with all_145_0_106, all_145_1_107 yields:
% 25.52/7.10 | (412) cartesian_product2(all_23_1_23, all_23_0_22) = all_145_1_107 & cartesian_product2(all_0_8_8, all_0_9_9) = all_145_0_106 & set_intersection2(all_145_1_107, all_145_0_106) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (412) yields:
% 25.52/7.10 | (413) cartesian_product2(all_23_1_23, all_23_0_22) = all_145_1_107
% 25.52/7.10 | (414) cartesian_product2(all_0_8_8, all_0_9_9) = all_145_0_106
% 25.52/7.10 | (415) set_intersection2(all_145_1_107, all_145_0_106) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (342) with all_149_0_110, all_149_1_111 yields:
% 25.52/7.10 | (416) cartesian_product2(all_23_1_23, all_23_0_22) = all_149_0_110 & cartesian_product2(all_0_8_8, all_23_0_22) = all_149_1_111 & set_intersection2(all_149_1_111, all_149_0_110) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (416) yields:
% 25.52/7.10 | (417) cartesian_product2(all_23_1_23, all_23_0_22) = all_149_0_110
% 25.52/7.10 | (418) cartesian_product2(all_0_8_8, all_23_0_22) = all_149_1_111
% 25.52/7.10 | (419) set_intersection2(all_149_1_111, all_149_0_110) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Instantiating (339) with all_151_0_112, all_151_1_113 yields:
% 25.52/7.10 | (420) cartesian_product2(all_23_1_23, all_0_7_7) = all_151_1_113 & cartesian_product2(all_0_10_10, all_23_0_22) = all_151_0_112 & set_intersection2(all_151_1_113, all_151_0_112) = all_0_6_6
% 25.52/7.10 |
% 25.52/7.10 | Applying alpha-rule on (420) yields:
% 25.52/7.10 | (421) cartesian_product2(all_23_1_23, all_0_7_7) = all_151_1_113
% 25.52/7.10 | (422) cartesian_product2(all_0_10_10, all_23_0_22) = all_151_0_112
% 25.52/7.10 | (423) set_intersection2(all_151_1_113, all_151_0_112) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (338) with all_153_0_114, all_153_1_115 yields:
% 25.52/7.11 | (424) cartesian_product2(all_23_1_23, all_23_0_22) = all_153_0_114 & cartesian_product2(all_23_1_23, all_0_7_7) = all_153_1_115 & set_intersection2(all_153_1_115, all_153_0_114) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (424) yields:
% 25.52/7.11 | (425) cartesian_product2(all_23_1_23, all_23_0_22) = all_153_0_114
% 25.52/7.11 | (426) cartesian_product2(all_23_1_23, all_0_7_7) = all_153_1_115
% 25.52/7.11 | (427) set_intersection2(all_153_1_115, all_153_0_114) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (337) with all_155_0_116, all_155_1_117 yields:
% 25.52/7.11 | (428) cartesian_product2(all_0_8_8, all_23_0_22) = all_155_0_116 & cartesian_product2(all_0_10_10, all_0_7_7) = all_155_1_117 & set_intersection2(all_155_1_117, all_155_0_116) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (428) yields:
% 25.52/7.11 | (429) cartesian_product2(all_0_8_8, all_23_0_22) = all_155_0_116
% 25.52/7.11 | (430) cartesian_product2(all_0_10_10, all_0_7_7) = all_155_1_117
% 25.52/7.11 | (431) set_intersection2(all_155_1_117, all_155_0_116) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (341) with all_159_0_120, all_159_1_121 yields:
% 25.52/7.11 | (432) cartesian_product2(all_23_1_23, all_0_7_7) = all_159_0_120 & cartesian_product2(all_0_8_8, all_0_9_9) = all_159_1_121 & set_intersection2(all_159_1_121, all_159_0_120) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (432) yields:
% 25.52/7.11 | (433) cartesian_product2(all_23_1_23, all_0_7_7) = all_159_0_120
% 25.52/7.11 | (434) cartesian_product2(all_0_8_8, all_0_9_9) = all_159_1_121
% 25.52/7.11 | (435) set_intersection2(all_159_1_121, all_159_0_120) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (340) with all_161_0_122, all_161_1_123 yields:
% 25.52/7.11 | (436) cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122 & cartesian_product2(all_0_8_8, all_0_7_7) = all_161_1_123 & set_intersection2(all_161_1_123, all_161_0_122) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (436) yields:
% 25.52/7.11 | (437) cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122
% 25.52/7.11 | (438) cartesian_product2(all_0_8_8, all_0_7_7) = all_161_1_123
% 25.52/7.11 | (439) set_intersection2(all_161_1_123, all_161_0_122) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (329) with all_163_0_124, all_163_1_125 yields:
% 25.52/7.11 | (440) cartesian_product2(all_23_1_23, all_23_0_22) = all_163_1_125 & cartesian_product2(all_0_8_8, all_23_0_22) = all_163_0_124 & set_intersection2(all_163_1_125, all_163_0_124) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (440) yields:
% 25.52/7.11 | (441) cartesian_product2(all_23_1_23, all_23_0_22) = all_163_1_125
% 25.52/7.11 | (442) cartesian_product2(all_0_8_8, all_23_0_22) = all_163_0_124
% 25.52/7.11 | (443) set_intersection2(all_163_1_125, all_163_0_124) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (313) with all_167_0_128, all_167_1_129 yields:
% 25.52/7.11 | (444) cartesian_product2(all_167_1_129, all_167_0_128) = all_0_6_6 & set_intersection2(all_51_0_34, all_0_7_7) = all_167_0_128 & set_intersection2(all_51_1_35, all_0_8_8) = all_167_1_129
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (444) yields:
% 25.52/7.11 | (445) cartesian_product2(all_167_1_129, all_167_0_128) = all_0_6_6
% 25.52/7.11 | (446) set_intersection2(all_51_0_34, all_0_7_7) = all_167_0_128
% 25.52/7.11 | (447) set_intersection2(all_51_1_35, all_0_8_8) = all_167_1_129
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (312) with all_169_0_130, all_169_1_131 yields:
% 25.52/7.11 | (448) cartesian_product2(all_169_1_131, all_169_0_130) = all_0_6_6 & set_intersection2(all_0_7_7, all_51_0_34) = all_169_0_130 & set_intersection2(all_0_8_8, all_51_1_35) = all_169_1_131
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (448) yields:
% 25.52/7.11 | (449) cartesian_product2(all_169_1_131, all_169_0_130) = all_0_6_6
% 25.52/7.11 | (450) set_intersection2(all_0_7_7, all_51_0_34) = all_169_0_130
% 25.52/7.11 | (451) set_intersection2(all_0_8_8, all_51_1_35) = all_169_1_131
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (311) with all_171_0_132, all_171_1_133 yields:
% 25.52/7.11 | (452) cartesian_product2(all_171_1_133, all_171_0_132) = all_0_6_6 & set_intersection2(all_51_0_34, all_23_0_22) = all_171_0_132 & set_intersection2(all_51_1_35, all_23_1_23) = all_171_1_133
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (452) yields:
% 25.52/7.11 | (453) cartesian_product2(all_171_1_133, all_171_0_132) = all_0_6_6
% 25.52/7.11 | (454) set_intersection2(all_51_0_34, all_23_0_22) = all_171_0_132
% 25.52/7.11 | (455) set_intersection2(all_51_1_35, all_23_1_23) = all_171_1_133
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (310) with all_173_0_134, all_173_1_135 yields:
% 25.52/7.11 | (456) cartesian_product2(all_173_1_135, all_173_0_134) = all_0_6_6 & set_intersection2(all_23_0_22, all_51_0_34) = all_173_0_134 & set_intersection2(all_23_1_23, all_51_1_35) = all_173_1_135
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (456) yields:
% 25.52/7.11 | (457) cartesian_product2(all_173_1_135, all_173_0_134) = all_0_6_6
% 25.52/7.11 | (458) set_intersection2(all_23_0_22, all_51_0_34) = all_173_0_134
% 25.52/7.11 | (459) set_intersection2(all_23_1_23, all_51_1_35) = all_173_1_135
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (319) with all_175_0_136, all_175_1_137 yields:
% 25.52/7.11 | (460) cartesian_product2(all_0_8_8, all_0_7_7) = all_175_0_136 & cartesian_product2(all_0_10_10, all_23_0_22) = all_175_1_137 & set_intersection2(all_175_1_137, all_175_0_136) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (460) yields:
% 25.52/7.11 | (461) cartesian_product2(all_0_8_8, all_0_7_7) = all_175_0_136
% 25.52/7.11 | (462) cartesian_product2(all_0_10_10, all_23_0_22) = all_175_1_137
% 25.52/7.11 | (463) set_intersection2(all_175_1_137, all_175_0_136) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (316) with all_177_0_138, all_177_1_139 yields:
% 25.52/7.11 | (464) cartesian_product2(all_0_8_8, all_23_0_22) = all_177_1_139 & cartesian_product2(all_0_10_10, all_23_0_22) = all_177_0_138 & set_intersection2(all_177_1_139, all_177_0_138) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (464) yields:
% 25.52/7.11 | (465) cartesian_product2(all_0_8_8, all_23_0_22) = all_177_1_139
% 25.52/7.11 | (466) cartesian_product2(all_0_10_10, all_23_0_22) = all_177_0_138
% 25.52/7.11 | (467) set_intersection2(all_177_1_139, all_177_0_138) = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (315) with all_179_0_140, all_179_1_141 yields:
% 25.52/7.11 | (468) cartesian_product2(all_179_1_141, all_179_0_140) = all_0_6_6 & set_intersection2(all_51_0_34, all_0_9_9) = all_179_0_140 & set_intersection2(all_51_1_35, all_0_10_10) = all_179_1_141
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (468) yields:
% 25.52/7.11 | (469) cartesian_product2(all_179_1_141, all_179_0_140) = all_0_6_6
% 25.52/7.11 | (470) set_intersection2(all_51_0_34, all_0_9_9) = all_179_0_140
% 25.52/7.11 | (471) set_intersection2(all_51_1_35, all_0_10_10) = all_179_1_141
% 25.52/7.11 |
% 25.52/7.11 | Instantiating (314) with all_181_0_142, all_181_1_143 yields:
% 25.52/7.11 | (472) cartesian_product2(all_181_1_143, all_181_0_142) = all_0_6_6 & set_intersection2(all_0_9_9, all_51_0_34) = all_181_0_142 & set_intersection2(all_0_10_10, all_51_1_35) = all_181_1_143
% 25.52/7.11 |
% 25.52/7.11 | Applying alpha-rule on (472) yields:
% 25.52/7.11 | (473) cartesian_product2(all_181_1_143, all_181_0_142) = all_0_6_6
% 25.52/7.11 | (474) set_intersection2(all_0_9_9, all_51_0_34) = all_181_0_142
% 25.52/7.11 | (475) set_intersection2(all_0_10_10, all_51_1_35) = all_181_1_143
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_149_0_110, all_0_6_6 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_149_0_110, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, yields:
% 25.52/7.11 | (476) all_149_0_110 = all_0_6_6
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_149_0_110, all_163_1_125 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_163_1_125, cartesian_product2(all_23_1_23, all_23_0_22) = all_149_0_110, yields:
% 25.52/7.11 | (477) all_163_1_125 = all_149_0_110
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_145_1_107, all_163_1_125 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_163_1_125, cartesian_product2(all_23_1_23, all_23_0_22) = all_145_1_107, yields:
% 25.52/7.11 | (478) all_163_1_125 = all_145_1_107
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_143_1_105, all_153_0_114 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_153_0_114, cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105, yields:
% 25.52/7.11 | (479) all_153_0_114 = all_143_1_105
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_143_1_105, all_149_0_110 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_149_0_110, cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105, yields:
% 25.52/7.11 | (480) all_149_0_110 = all_143_1_105
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_137_1_99, all_143_1_105 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105, cartesian_product2(all_23_1_23, all_23_0_22) = all_137_1_99, yields:
% 25.52/7.11 | (481) all_143_1_105 = all_137_1_99
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_135_1_97, all_153_0_114 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_153_0_114, cartesian_product2(all_23_1_23, all_23_0_22) = all_135_1_97, yields:
% 25.52/7.11 | (482) all_153_0_114 = all_135_1_97
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_23_0_22, all_133_1_95, all_143_1_105 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_143_1_105, cartesian_product2(all_23_1_23, all_23_0_22) = all_133_1_95, yields:
% 25.52/7.11 | (483) all_143_1_105 = all_133_1_95
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_141_0_102, all_161_0_122 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122, cartesian_product2(all_23_1_23, all_0_9_9) = all_141_0_102, yields:
% 25.52/7.11 | (484) all_161_0_122 = all_141_0_102
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_139_1_101, all_161_0_122 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122, cartesian_product2(all_23_1_23, all_0_9_9) = all_139_1_101, yields:
% 25.52/7.11 | (485) all_161_0_122 = all_139_1_101
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_133_0_94, all_161_0_122 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122, cartesian_product2(all_23_1_23, all_0_9_9) = all_133_0_94, yields:
% 25.52/7.11 | (486) all_161_0_122 = all_133_0_94
% 25.52/7.11 |
% 25.52/7.11 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_129_0_90, all_139_1_101 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_139_1_101, cartesian_product2(all_23_1_23, all_0_9_9) = all_129_0_90, yields:
% 25.52/7.12 | (487) all_139_1_101 = all_129_0_90
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_125_1_87, all_161_0_122 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122, cartesian_product2(all_23_1_23, all_0_9_9) = all_125_1_87, yields:
% 25.52/7.12 | (488) all_161_0_122 = all_125_1_87
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_121_1_83, all_161_0_122 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_161_0_122, cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, yields:
% 25.52/7.12 | (489) all_161_0_122 = all_121_1_83
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_145_0_106, all_47_1_31 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_145_0_106, cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31, yields:
% 25.52/7.12 | (490) all_145_0_106 = all_47_1_31
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_145_0_106, all_159_1_121 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_159_1_121, cartesian_product2(all_0_8_8, all_0_9_9) = all_145_0_106, yields:
% 25.52/7.12 | (491) all_159_1_121 = all_145_0_106
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_131_0_92, all_159_1_121 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_159_1_121, cartesian_product2(all_0_8_8, all_0_9_9) = all_131_0_92, yields:
% 25.52/7.12 | (492) all_159_1_121 = all_131_0_92
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_127_0_88, all_145_0_106 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_145_0_106, cartesian_product2(all_0_8_8, all_0_9_9) = all_127_0_88, yields:
% 25.52/7.12 | (493) all_145_0_106 = all_127_0_88
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_143_0_104, all_177_0_138 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_177_0_138, cartesian_product2(all_0_10_10, all_23_0_22) = all_143_0_104, yields:
% 25.52/7.12 | (494) all_177_0_138 = all_143_0_104
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_143_0_104, all_175_1_137 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_175_1_137, cartesian_product2(all_0_10_10, all_23_0_22) = all_143_0_104, yields:
% 25.52/7.12 | (495) all_175_1_137 = all_143_0_104
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_143_0_104, all_151_0_112 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_151_0_112, cartesian_product2(all_0_10_10, all_23_0_22) = all_143_0_104, yields:
% 25.52/7.12 | (496) all_151_0_112 = all_143_0_104
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_131_1_93, all_177_0_138 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_177_0_138, cartesian_product2(all_0_10_10, all_23_0_22) = all_131_1_93, yields:
% 25.52/7.12 | (497) all_177_0_138 = all_131_1_93
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_119_1_81, all_151_0_112 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_151_0_112, cartesian_product2(all_0_10_10, all_23_0_22) = all_119_1_81, yields:
% 25.52/7.12 | (498) all_151_0_112 = all_119_1_81
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_113_0_74, all_175_1_137 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_175_1_137, cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, yields:
% 25.52/7.12 | (499) all_175_1_137 = all_113_0_74
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_155_1_117, all_47_0_30 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_155_1_117, cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30, yields:
% 25.52/7.12 | (500) all_155_1_117 = all_47_0_30
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_137_0_98, all_155_1_117 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_155_1_117, cartesian_product2(all_0_10_10, all_0_7_7) = all_137_0_98, yields:
% 25.52/7.12 | (501) all_155_1_117 = all_137_0_98
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_121_0_82, all_155_1_117 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_155_1_117, cartesian_product2(all_0_10_10, all_0_7_7) = all_121_0_82, yields:
% 25.52/7.12 | (502) all_155_1_117 = all_121_0_82
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_117_0_78, all_121_0_82 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_121_0_82, cartesian_product2(all_0_10_10, all_0_7_7) = all_117_0_78, yields:
% 25.52/7.12 | (503) all_121_0_82 = all_117_0_78
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_123_0_84, all_0_6_6 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_123_0_84, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.52/7.12 | (504) all_123_0_84 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_115_0_76, all_123_0_84 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_123_0_84, cartesian_product2(all_0_10_10, all_0_9_9) = all_115_0_76, yields:
% 25.52/7.12 | (505) all_123_0_84 = all_115_0_76
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_23_0_22, all_51_0_34 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_51_0_34, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.52/7.12 | (506) all_51_0_34 = all_23_0_22
% 25.52/7.12 |
% 25.52/7.12 | Instantiating formula (17) with all_0_10_10, all_23_1_23, all_23_1_23, all_51_1_35 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_51_1_35, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.52/7.12 | (507) all_51_1_35 = all_23_1_23
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (494,497) yields a new equation:
% 25.52/7.12 | (508) all_143_0_104 = all_131_1_93
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 508 yields:
% 25.52/7.12 | (509) all_143_0_104 = all_131_1_93
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (495,499) yields a new equation:
% 25.52/7.12 | (510) all_143_0_104 = all_113_0_74
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 510 yields:
% 25.52/7.12 | (511) all_143_0_104 = all_113_0_74
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (477,478) yields a new equation:
% 25.52/7.12 | (512) all_149_0_110 = all_145_1_107
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 512 yields:
% 25.52/7.12 | (513) all_149_0_110 = all_145_1_107
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (489,484) yields a new equation:
% 25.52/7.12 | (514) all_141_0_102 = all_121_1_83
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (488,484) yields a new equation:
% 25.52/7.12 | (515) all_141_0_102 = all_125_1_87
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (486,484) yields a new equation:
% 25.52/7.12 | (516) all_141_0_102 = all_133_0_94
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (485,484) yields a new equation:
% 25.52/7.12 | (517) all_141_0_102 = all_139_1_101
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (491,492) yields a new equation:
% 25.52/7.12 | (518) all_145_0_106 = all_131_0_92
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 518 yields:
% 25.52/7.12 | (519) all_145_0_106 = all_131_0_92
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (502,501) yields a new equation:
% 25.52/7.12 | (520) all_137_0_98 = all_121_0_82
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (500,501) yields a new equation:
% 25.52/7.12 | (521) all_137_0_98 = all_47_0_30
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (479,482) yields a new equation:
% 25.52/7.12 | (522) all_143_1_105 = all_135_1_97
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 522 yields:
% 25.52/7.12 | (523) all_143_1_105 = all_135_1_97
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (496,498) yields a new equation:
% 25.52/7.12 | (524) all_143_0_104 = all_119_1_81
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 524 yields:
% 25.52/7.12 | (525) all_143_0_104 = all_119_1_81
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (480,513) yields a new equation:
% 25.52/7.12 | (526) all_145_1_107 = all_143_1_105
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (476,513) yields a new equation:
% 25.52/7.12 | (527) all_145_1_107 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (493,519) yields a new equation:
% 25.52/7.12 | (528) all_131_0_92 = all_127_0_88
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (490,519) yields a new equation:
% 25.52/7.12 | (529) all_131_0_92 = all_47_1_31
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (526,527) yields a new equation:
% 25.52/7.12 | (530) all_143_1_105 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 530 yields:
% 25.52/7.12 | (531) all_143_1_105 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (511,509) yields a new equation:
% 25.52/7.12 | (532) all_131_1_93 = all_113_0_74
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (525,509) yields a new equation:
% 25.52/7.12 | (533) all_131_1_93 = all_119_1_81
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (483,481) yields a new equation:
% 25.52/7.12 | (534) all_137_1_99 = all_133_1_95
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (531,481) yields a new equation:
% 25.52/7.12 | (535) all_137_1_99 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (523,481) yields a new equation:
% 25.52/7.12 | (536) all_137_1_99 = all_135_1_97
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (514,516) yields a new equation:
% 25.52/7.12 | (537) all_133_0_94 = all_121_1_83
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (515,516) yields a new equation:
% 25.52/7.12 | (538) all_133_0_94 = all_125_1_87
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (517,516) yields a new equation:
% 25.52/7.12 | (539) all_139_1_101 = all_133_0_94
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 539 yields:
% 25.52/7.12 | (540) all_139_1_101 = all_133_0_94
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (540,487) yields a new equation:
% 25.52/7.12 | (541) all_133_0_94 = all_129_0_90
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 541 yields:
% 25.52/7.12 | (542) all_133_0_94 = all_129_0_90
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (520,521) yields a new equation:
% 25.52/7.12 | (543) all_121_0_82 = all_47_0_30
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 543 yields:
% 25.52/7.12 | (544) all_121_0_82 = all_47_0_30
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (534,536) yields a new equation:
% 25.52/7.12 | (545) all_135_1_97 = all_133_1_95
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (535,536) yields a new equation:
% 25.52/7.12 | (546) all_135_1_97 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (545,546) yields a new equation:
% 25.52/7.12 | (547) all_133_1_95 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Simplifying 547 yields:
% 25.52/7.12 | (548) all_133_1_95 = all_0_6_6
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (538,542) yields a new equation:
% 25.52/7.12 | (549) all_129_0_90 = all_125_1_87
% 25.52/7.12 |
% 25.52/7.12 | Combining equations (537,542) yields a new equation:
% 25.52/7.12 | (550) all_129_0_90 = all_121_1_83
% 25.52/7.12 |
% 25.52/7.13 | Combining equations (529,528) yields a new equation:
% 25.52/7.13 | (551) all_127_0_88 = all_47_1_31
% 25.52/7.13 |
% 25.52/7.13 | Combining equations (533,532) yields a new equation:
% 25.52/7.13 | (552) all_119_1_81 = all_113_0_74
% 25.52/7.13 |
% 25.52/7.13 | Simplifying 552 yields:
% 25.52/7.13 | (553) all_119_1_81 = all_113_0_74
% 25.52/7.13 |
% 25.52/7.13 | Combining equations (550,549) yields a new equation:
% 25.93/7.13 | (554) all_125_1_87 = all_121_1_83
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (505,504) yields a new equation:
% 25.93/7.13 | (555) all_115_0_76 = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | Simplifying 555 yields:
% 25.93/7.13 | (556) all_115_0_76 = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (503,544) yields a new equation:
% 25.93/7.13 | (557) all_117_0_78 = all_47_0_30
% 25.93/7.13 |
% 25.93/7.13 | Simplifying 557 yields:
% 25.93/7.13 | (558) all_117_0_78 = all_47_0_30
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (554,549) yields a new equation:
% 25.93/7.13 | (550) all_129_0_90 = all_121_1_83
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (551,528) yields a new equation:
% 25.93/7.13 | (529) all_131_0_92 = all_47_1_31
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (550,542) yields a new equation:
% 25.93/7.13 | (537) all_133_0_94 = all_121_1_83
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (546,536) yields a new equation:
% 25.93/7.13 | (535) all_137_1_99 = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (535,481) yields a new equation:
% 25.93/7.13 | (531) all_143_1_105 = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (532,509) yields a new equation:
% 25.93/7.13 | (511) all_143_0_104 = all_113_0_74
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (529,519) yields a new equation:
% 25.93/7.13 | (490) all_145_0_106 = all_47_1_31
% 25.93/7.13 |
% 25.93/7.13 | From (554) and (373) follows:
% 25.93/7.13 | (365) cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83
% 25.93/7.13 |
% 25.93/7.13 | From (551) and (378) follows:
% 25.93/7.13 | (104) cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31
% 25.93/7.13 |
% 25.93/7.13 | From (553) and (362) follows:
% 25.93/7.13 | (350) cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74
% 25.93/7.13 |
% 25.93/7.13 | From (558) and (358) follows:
% 25.93/7.13 | (105) cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30
% 25.93/7.13 |
% 25.93/7.13 | From (556) and (354) follows:
% 25.93/7.13 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (527)(490) and (415) follows:
% 25.93/7.13 | (571) set_intersection2(all_0_6_6, all_47_1_31) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (531)(511) and (411) follows:
% 25.93/7.13 | (572) set_intersection2(all_0_6_6, all_113_0_74) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (535)(521) and (399) follows:
% 25.93/7.13 | (573) set_intersection2(all_0_6_6, all_47_0_30) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (548)(537) and (391) follows:
% 25.93/7.13 | (574) set_intersection2(all_0_6_6, all_121_1_83) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (454) follows:
% 25.93/7.13 | (575) set_intersection2(all_23_0_22, all_23_0_22) = all_171_0_132
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (446) follows:
% 25.93/7.13 | (576) set_intersection2(all_23_0_22, all_0_7_7) = all_167_0_128
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (470) follows:
% 25.93/7.13 | (577) set_intersection2(all_23_0_22, all_0_9_9) = all_179_0_140
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (455) follows:
% 25.93/7.13 | (578) set_intersection2(all_23_1_23, all_23_1_23) = all_171_1_133
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (447) follows:
% 25.93/7.13 | (579) set_intersection2(all_23_1_23, all_0_8_8) = all_167_1_129
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (471) follows:
% 25.93/7.13 | (580) set_intersection2(all_23_1_23, all_0_10_10) = all_179_1_141
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (458) follows:
% 25.93/7.13 | (581) set_intersection2(all_23_0_22, all_23_0_22) = all_173_0_134
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (345) follows:
% 25.93/7.13 | (77) set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (459) follows:
% 25.93/7.13 | (583) set_intersection2(all_23_1_23, all_23_1_23) = all_173_1_135
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (347) follows:
% 25.93/7.13 | (78) set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (450) follows:
% 25.93/7.13 | (585) set_intersection2(all_0_7_7, all_23_0_22) = all_169_0_130
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (451) follows:
% 25.93/7.13 | (586) set_intersection2(all_0_8_8, all_23_1_23) = all_169_1_131
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (474) follows:
% 25.93/7.13 | (587) set_intersection2(all_0_9_9, all_23_0_22) = all_181_0_142
% 25.93/7.13 |
% 25.93/7.13 | From (506) and (113) follows:
% 25.93/7.13 | (322) set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (475) follows:
% 25.93/7.13 | (589) set_intersection2(all_0_10_10, all_23_1_23) = all_181_1_143
% 25.93/7.13 |
% 25.93/7.13 | From (507) and (114) follows:
% 25.93/7.13 | (335) set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (7) with all_173_0_134, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_173_0_134, yields:
% 25.93/7.13 | (591) all_173_0_134 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_0_22, all_23_0_22, all_171_0_132, all_173_0_134 and discharging atoms set_intersection2(all_23_0_22, all_23_0_22) = all_173_0_134, set_intersection2(all_23_0_22, all_23_0_22) = all_171_0_132, yields:
% 25.93/7.13 | (592) all_173_0_134 = all_171_0_132
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_0_22, all_0_7_7, all_167_0_128, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_0_7_7) = all_167_0_128, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, yields:
% 25.93/7.13 | (593) all_167_0_128 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_0_22, all_0_9_9, all_179_0_140, all_23_0_22 and discharging atoms set_intersection2(all_23_0_22, all_0_9_9) = all_179_0_140, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, yields:
% 25.93/7.13 | (594) all_179_0_140 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (7) with all_173_1_135, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_173_1_135, yields:
% 25.93/7.13 | (595) all_173_1_135 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_1_23, all_23_1_23, all_171_1_133, all_173_1_135 and discharging atoms set_intersection2(all_23_1_23, all_23_1_23) = all_173_1_135, set_intersection2(all_23_1_23, all_23_1_23) = all_171_1_133, yields:
% 25.93/7.13 | (596) all_173_1_135 = all_171_1_133
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_1_23, all_0_8_8, all_167_1_129, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_0_8_8) = all_167_1_129, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, yields:
% 25.93/7.13 | (597) all_167_1_129 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_23_1_23, all_0_10_10, all_179_1_141, all_23_1_23 and discharging atoms set_intersection2(all_23_1_23, all_0_10_10) = all_179_1_141, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, yields:
% 25.93/7.13 | (598) all_179_1_141 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_0_7_7, all_23_0_22, all_169_0_130, all_23_0_22 and discharging atoms set_intersection2(all_0_7_7, all_23_0_22) = all_169_0_130, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.13 | (599) all_169_0_130 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_0_8_8, all_23_1_23, all_169_1_131, all_23_1_23 and discharging atoms set_intersection2(all_0_8_8, all_23_1_23) = all_169_1_131, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.13 | (600) all_169_1_131 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_181_0_142, all_23_0_22 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_181_0_142, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.13 | (601) all_181_0_142 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Instantiating formula (17) with all_0_10_10, all_23_1_23, all_181_1_143, all_23_1_23 and discharging atoms set_intersection2(all_0_10_10, all_23_1_23) = all_181_1_143, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.13 | (602) all_181_1_143 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (592,591) yields a new equation:
% 25.93/7.13 | (603) all_171_0_132 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Simplifying 603 yields:
% 25.93/7.13 | (604) all_171_0_132 = all_23_0_22
% 25.93/7.13 |
% 25.93/7.13 | Combining equations (595,596) yields a new equation:
% 25.93/7.13 | (605) all_171_1_133 = all_23_1_23
% 25.93/7.13 |
% 25.93/7.13 | From (597)(593) and (445) follows:
% 25.93/7.13 | (38) cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6
% 25.93/7.13 |
% 25.93/7.13 | From (604) and (575) follows:
% 25.93/7.13 | (265) set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22
% 25.93/7.14 |
% 25.93/7.14 | From (593) and (576) follows:
% 25.93/7.14 | (197) set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22
% 25.93/7.14 |
% 25.93/7.14 | From (594) and (577) follows:
% 25.93/7.14 | (77) set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22
% 25.93/7.14 |
% 25.93/7.14 | From (605) and (578) follows:
% 25.93/7.14 | (269) set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23
% 25.93/7.14 |
% 25.93/7.14 | From (597) and (579) follows:
% 25.93/7.14 | (187) set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23
% 25.93/7.14 |
% 25.93/7.14 | From (598) and (580) follows:
% 25.93/7.14 | (78) set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23
% 25.93/7.14 |
% 25.93/7.14 | From (599) and (585) follows:
% 25.93/7.14 | (273) set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22
% 25.93/7.14 |
% 25.93/7.14 | From (600) and (586) follows:
% 25.93/7.14 | (275) set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23
% 25.93/7.14 |
% 25.93/7.14 | From (601) and (587) follows:
% 25.93/7.14 | (322) set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22
% 25.93/7.14 |
% 25.93/7.14 | From (602) and (589) follows:
% 25.93/7.14 | (335) set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23
% 25.93/7.14 |
% 25.93/7.14 +-Applying beta-rule and splitting (22), into two cases.
% 25.93/7.14 |-Branch one:
% 25.93/7.14 | (617) ~ (all_0_3_3 = 0) & subset(all_0_9_9, all_0_7_7) = all_0_3_3
% 25.93/7.14 |
% 25.93/7.14 | Applying alpha-rule on (617) yields:
% 25.93/7.14 | (618) ~ (all_0_3_3 = 0)
% 25.93/7.14 | (619) subset(all_0_9_9, all_0_7_7) = all_0_3_3
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 25.93/7.14 | (620) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_23_1_23, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 25.93/7.14 | (621) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_8_8, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 25.93/7.14 | (622) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 25.93/7.14 | (623) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_8_8, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 25.93/7.14 | (624) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.93/7.14 | (625) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (626) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_7_7, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (627) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_9_9, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (628) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (629) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_9_9, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (630) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_0_7_7) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (631) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_0_7_7) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (28) with all_0_6_6, all_121_1_83, all_0_6_6, all_0_9_9, all_0_9_9, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_121_1_83) = all_0_6_6, yields:
% 25.93/7.14 | (632) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = v1 & set_intersection2(all_0_10_10, all_23_1_23) = v0)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (28) with all_0_6_6, all_113_0_74, all_0_6_6, all_23_0_22, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_113_0_74) = all_0_6_6, yields:
% 25.93/7.14 | (633) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = v1 & set_intersection2(all_0_10_10, all_0_10_10) = v0)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (28) with all_0_6_6, all_47_0_30, all_0_6_6, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_47_0_30) = all_0_6_6, yields:
% 25.93/7.14 | (634) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_7_7) = v1 & set_intersection2(all_0_10_10, all_0_10_10) = v0)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (28) with all_0_6_6, all_47_1_31, all_0_6_6, all_0_9_9, all_0_9_9, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_47_1_31) = all_0_6_6, yields:
% 25.93/7.14 | (635) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = v1 & set_intersection2(all_0_10_10, all_0_8_8) = v0)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_23_1_23, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.14 | (636) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_23_1_23, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_0_8_8, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_8_8) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.14 | (637) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_8_8, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.14 | (638) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_23_1_23, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_8_8, all_23_1_23) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.14 | (639) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_0_8_8, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.14 | (640) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 25.93/7.14 | (641) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.14 | (642) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.14 | (643) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.14 | (644) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_0_7_7, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.14 | (645) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 25.93/7.14 | (646) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 25.93/7.14 |
% 25.93/7.14 | Instantiating (634) with all_203_0_144, all_203_1_145 yields:
% 25.93/7.14 | (647) cartesian_product2(all_203_1_145, all_203_0_144) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_7_7) = all_203_0_144 & set_intersection2(all_0_10_10, all_0_10_10) = all_203_1_145
% 25.93/7.14 |
% 25.93/7.14 | Applying alpha-rule on (647) yields:
% 25.93/7.14 | (648) cartesian_product2(all_203_1_145, all_203_0_144) = all_0_6_6
% 25.93/7.14 | (649) set_intersection2(all_0_9_9, all_0_7_7) = all_203_0_144
% 25.93/7.14 | (650) set_intersection2(all_0_10_10, all_0_10_10) = all_203_1_145
% 25.93/7.14 |
% 25.93/7.14 | Instantiating (627) with all_205_0_146, all_205_1_147 yields:
% 25.93/7.14 | (651) cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_147 & cartesian_product2(all_0_10_10, all_0_7_7) = all_205_0_146 & set_intersection2(all_205_1_147, all_205_0_146) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (651) yields:
% 25.93/7.15 | (652) cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_147
% 25.93/7.15 | (653) cartesian_product2(all_0_10_10, all_0_7_7) = all_205_0_146
% 25.93/7.15 | (654) set_intersection2(all_205_1_147, all_205_0_146) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (626) with all_207_0_148, all_207_1_149 yields:
% 25.93/7.15 | (655) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_148 & cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_149 & set_intersection2(all_207_1_149, all_207_0_148) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (655) yields:
% 25.93/7.15 | (656) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_148
% 25.93/7.15 | (657) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_149
% 25.93/7.15 | (658) set_intersection2(all_207_1_149, all_207_0_148) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (625) with all_209_0_150, all_209_1_151 yields:
% 25.93/7.15 | (659) cartesian_product2(all_0_8_8, all_0_9_9) = all_209_0_150 & cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_151 & set_intersection2(all_209_1_151, all_209_0_150) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (659) yields:
% 25.93/7.15 | (660) cartesian_product2(all_0_8_8, all_0_9_9) = all_209_0_150
% 25.93/7.15 | (661) cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_151
% 25.93/7.15 | (662) set_intersection2(all_209_1_151, all_209_0_150) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (624) with all_211_0_152, all_211_1_153 yields:
% 25.93/7.15 | (663) cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_153 & cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_152 & set_intersection2(all_211_1_153, all_211_0_152) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (663) yields:
% 25.93/7.15 | (664) cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_153
% 25.93/7.15 | (665) cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_152
% 25.93/7.15 | (666) set_intersection2(all_211_1_153, all_211_0_152) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (632) with all_213_0_154, all_213_1_155 yields:
% 25.93/7.15 | (667) cartesian_product2(all_213_1_155, all_213_0_154) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = all_213_0_154 & set_intersection2(all_0_10_10, all_23_1_23) = all_213_1_155
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (667) yields:
% 25.93/7.15 | (668) cartesian_product2(all_213_1_155, all_213_0_154) = all_0_6_6
% 25.93/7.15 | (669) set_intersection2(all_0_9_9, all_0_9_9) = all_213_0_154
% 25.93/7.15 | (670) set_intersection2(all_0_10_10, all_23_1_23) = all_213_1_155
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (623) with all_215_0_156, all_215_1_157 yields:
% 25.93/7.15 | (671) cartesian_product2(all_23_1_23, all_0_9_9) = all_215_0_156 & cartesian_product2(all_0_8_8, all_0_9_9) = all_215_1_157 & set_intersection2(all_215_1_157, all_215_0_156) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (671) yields:
% 25.93/7.15 | (672) cartesian_product2(all_23_1_23, all_0_9_9) = all_215_0_156
% 25.93/7.15 | (673) cartesian_product2(all_0_8_8, all_0_9_9) = all_215_1_157
% 25.93/7.15 | (674) set_intersection2(all_215_1_157, all_215_0_156) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (621) with all_217_0_158, all_217_1_159 yields:
% 25.93/7.15 | (675) cartesian_product2(all_23_1_23, all_0_9_9) = all_217_1_159 & cartesian_product2(all_0_8_8, all_0_9_9) = all_217_0_158 & set_intersection2(all_217_1_159, all_217_0_158) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (675) yields:
% 25.93/7.15 | (676) cartesian_product2(all_23_1_23, all_0_9_9) = all_217_1_159
% 25.93/7.15 | (677) cartesian_product2(all_0_8_8, all_0_9_9) = all_217_0_158
% 25.93/7.15 | (678) set_intersection2(all_217_1_159, all_217_0_158) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (622) with all_219_0_160, all_219_1_161 yields:
% 25.93/7.15 | (679) cartesian_product2(all_23_1_23, all_0_9_9) = all_219_1_161 & cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_160 & set_intersection2(all_219_1_161, all_219_0_160) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (679) yields:
% 25.93/7.15 | (680) cartesian_product2(all_23_1_23, all_0_9_9) = all_219_1_161
% 25.93/7.15 | (681) cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_160
% 25.93/7.15 | (682) set_intersection2(all_219_1_161, all_219_0_160) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (620) with all_221_0_162, all_221_1_163 yields:
% 25.93/7.15 | (683) cartesian_product2(all_23_1_23, all_0_9_9) = all_221_0_162 & cartesian_product2(all_23_1_23, all_0_9_9) = all_221_1_163 & set_intersection2(all_221_1_163, all_221_0_162) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (683) yields:
% 25.93/7.15 | (684) cartesian_product2(all_23_1_23, all_0_9_9) = all_221_0_162
% 25.93/7.15 | (685) cartesian_product2(all_23_1_23, all_0_9_9) = all_221_1_163
% 25.93/7.15 | (686) set_intersection2(all_221_1_163, all_221_0_162) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (646) with all_223_0_164, all_223_1_165 yields:
% 25.93/7.15 | (687) cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_164 & cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_165 & set_intersection2(all_223_1_165, all_223_0_164) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (687) yields:
% 25.93/7.15 | (688) cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_164
% 25.93/7.15 | (689) cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_165
% 25.93/7.15 | (690) set_intersection2(all_223_1_165, all_223_0_164) = all_121_1_83
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (644) with all_227_0_168, all_227_1_169 yields:
% 25.93/7.15 | (691) cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_168 & cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_169 & set_intersection2(all_227_1_169, all_227_0_168) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (691) yields:
% 25.93/7.15 | (692) cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_168
% 25.93/7.15 | (693) cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_169
% 25.93/7.15 | (694) set_intersection2(all_227_1_169, all_227_0_168) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (635) with all_229_0_170, all_229_1_171 yields:
% 25.93/7.15 | (695) cartesian_product2(all_229_1_171, all_229_0_170) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = all_229_0_170 & set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_171
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (695) yields:
% 25.93/7.15 | (696) cartesian_product2(all_229_1_171, all_229_0_170) = all_0_6_6
% 25.93/7.15 | (697) set_intersection2(all_0_9_9, all_0_9_9) = all_229_0_170
% 25.93/7.15 | (698) set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_171
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (633) with all_231_0_172, all_231_1_173 yields:
% 25.93/7.15 | (699) cartesian_product2(all_231_1_173, all_231_0_172) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_172 & set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_173
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (699) yields:
% 25.93/7.15 | (700) cartesian_product2(all_231_1_173, all_231_0_172) = all_0_6_6
% 25.93/7.15 | (701) set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_172
% 25.93/7.15 | (702) set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_173
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (645) with all_233_0_174, all_233_1_175 yields:
% 25.93/7.15 | (703) cartesian_product2(all_23_1_23, all_0_9_9) = all_233_0_174 & cartesian_product2(all_0_10_10, all_0_7_7) = all_233_1_175 & set_intersection2(all_233_1_175, all_233_0_174) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (703) yields:
% 25.93/7.15 | (704) cartesian_product2(all_23_1_23, all_0_9_9) = all_233_0_174
% 25.93/7.15 | (705) cartesian_product2(all_0_10_10, all_0_7_7) = all_233_1_175
% 25.93/7.15 | (706) set_intersection2(all_233_1_175, all_233_0_174) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (643) with all_235_0_176, all_235_1_177 yields:
% 25.93/7.15 | (707) cartesian_product2(all_23_1_23, all_0_7_7) = all_235_0_176 & cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_177 & set_intersection2(all_235_1_177, all_235_0_176) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (707) yields:
% 25.93/7.15 | (708) cartesian_product2(all_23_1_23, all_0_7_7) = all_235_0_176
% 25.93/7.15 | (709) cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_177
% 25.93/7.15 | (710) set_intersection2(all_235_1_177, all_235_0_176) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (642) with all_237_0_178, all_237_1_179 yields:
% 25.93/7.15 | (711) cartesian_product2(all_23_1_23, all_23_0_22) = all_237_0_178 & cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_179 & set_intersection2(all_237_1_179, all_237_0_178) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (711) yields:
% 25.93/7.15 | (712) cartesian_product2(all_23_1_23, all_23_0_22) = all_237_0_178
% 25.93/7.15 | (713) cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_179
% 25.93/7.15 | (714) set_intersection2(all_237_1_179, all_237_0_178) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (631) with all_239_0_180, all_239_1_181 yields:
% 25.93/7.15 | (715) cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_180 & cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_181 & set_intersection2(all_239_1_181, all_239_0_180) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (715) yields:
% 25.93/7.15 | (716) cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_180
% 25.93/7.15 | (717) cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_181
% 25.93/7.15 | (718) set_intersection2(all_239_1_181, all_239_0_180) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (630) with all_241_0_182, all_241_1_183 yields:
% 25.93/7.15 | (719) cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_183 & cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_182 & set_intersection2(all_241_1_183, all_241_0_182) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (719) yields:
% 25.93/7.15 | (720) cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_183
% 25.93/7.15 | (721) cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_182
% 25.93/7.15 | (722) set_intersection2(all_241_1_183, all_241_0_182) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (629) with all_243_0_184, all_243_1_185 yields:
% 25.93/7.15 | (723) cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_184 & cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_185 & set_intersection2(all_243_1_185, all_243_0_184) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (723) yields:
% 25.93/7.15 | (724) cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_184
% 25.93/7.15 | (725) cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_185
% 25.93/7.15 | (726) set_intersection2(all_243_1_185, all_243_0_184) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (639) with all_245_0_186, all_245_1_187 yields:
% 25.93/7.15 | (727) cartesian_product2(all_23_1_23, all_23_0_22) = all_245_0_186 & cartesian_product2(all_0_8_8, all_0_9_9) = all_245_1_187 & set_intersection2(all_245_1_187, all_245_0_186) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (727) yields:
% 25.93/7.15 | (728) cartesian_product2(all_23_1_23, all_23_0_22) = all_245_0_186
% 25.93/7.15 | (729) cartesian_product2(all_0_8_8, all_0_9_9) = all_245_1_187
% 25.93/7.15 | (730) set_intersection2(all_245_1_187, all_245_0_186) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (638) with all_247_0_188, all_247_1_189 yields:
% 25.93/7.15 | (731) cartesian_product2(all_23_1_23, all_0_9_9) = all_247_1_189 & cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188 & set_intersection2(all_247_1_189, all_247_0_188) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (731) yields:
% 25.93/7.15 | (732) cartesian_product2(all_23_1_23, all_0_9_9) = all_247_1_189
% 25.93/7.15 | (733) cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188
% 25.93/7.15 | (734) set_intersection2(all_247_1_189, all_247_0_188) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (641) with all_249_0_190, all_249_1_191 yields:
% 25.93/7.15 | (735) cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_190 & cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191 & set_intersection2(all_249_1_191, all_249_0_190) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (735) yields:
% 25.93/7.15 | (736) cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_190
% 25.93/7.15 | (737) cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191
% 25.93/7.15 | (738) set_intersection2(all_249_1_191, all_249_0_190) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (640) with all_251_0_192, all_251_1_193 yields:
% 25.93/7.15 | (739) cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_193 & cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_192 & set_intersection2(all_251_1_193, all_251_0_192) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (739) yields:
% 25.93/7.15 | (740) cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_193
% 25.93/7.15 | (741) cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_192
% 25.93/7.15 | (742) set_intersection2(all_251_1_193, all_251_0_192) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (637) with all_253_0_194, all_253_1_195 yields:
% 25.93/7.15 | (743) cartesian_product2(all_23_1_23, all_0_9_9) = all_253_1_195 & cartesian_product2(all_0_8_8, all_23_0_22) = all_253_0_194 & set_intersection2(all_253_1_195, all_253_0_194) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (743) yields:
% 25.93/7.15 | (744) cartesian_product2(all_23_1_23, all_0_9_9) = all_253_1_195
% 25.93/7.15 | (745) cartesian_product2(all_0_8_8, all_23_0_22) = all_253_0_194
% 25.93/7.15 | (746) set_intersection2(all_253_1_195, all_253_0_194) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (636) with all_255_0_196, all_255_1_197 yields:
% 25.93/7.15 | (747) cartesian_product2(all_23_1_23, all_23_0_22) = all_255_0_196 & cartesian_product2(all_23_1_23, all_0_9_9) = all_255_1_197 & set_intersection2(all_255_1_197, all_255_0_196) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (747) yields:
% 25.93/7.15 | (748) cartesian_product2(all_23_1_23, all_23_0_22) = all_255_0_196
% 25.93/7.15 | (749) cartesian_product2(all_23_1_23, all_0_9_9) = all_255_1_197
% 25.93/7.15 | (750) set_intersection2(all_255_1_197, all_255_0_196) = all_0_6_6
% 25.93/7.15 |
% 25.93/7.15 | Instantiating (628) with all_257_0_198, all_257_1_199 yields:
% 25.93/7.15 | (751) cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_199 & cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_198 & set_intersection2(all_257_1_199, all_257_0_198) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Applying alpha-rule on (751) yields:
% 25.93/7.15 | (752) cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_199
% 25.93/7.15 | (753) cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_198
% 25.93/7.15 | (754) set_intersection2(all_257_1_199, all_257_0_198) = all_113_0_74
% 25.93/7.15 |
% 25.93/7.15 | Instantiating formula (4) with all_0_6_6, all_229_0_170, all_229_1_171, all_231_0_172, all_231_1_173 and discharging atoms cartesian_product2(all_231_1_173, all_231_0_172) = all_0_6_6, cartesian_product2(all_229_1_171, all_229_0_170) = all_0_6_6, yields:
% 25.93/7.15 | (755) all_231_0_172 = all_229_0_170 | all_231_0_172 = empty_set | all_231_1_173 = empty_set
% 25.93/7.15 |
% 25.93/7.15 | Instantiating formula (15) with all_0_6_6, all_229_0_170, all_229_1_171, all_231_0_172, all_231_1_173 and discharging atoms cartesian_product2(all_231_1_173, all_231_0_172) = all_0_6_6, cartesian_product2(all_229_1_171, all_229_0_170) = all_0_6_6, yields:
% 25.93/7.15 | (756) all_231_0_172 = empty_set | all_231_1_173 = all_229_1_171 | all_231_1_173 = empty_set
% 25.93/7.15 |
% 25.93/7.15 | Instantiating formula (15) with all_0_6_6, all_213_0_154, all_213_1_155, all_231_0_172, all_231_1_173 and discharging atoms cartesian_product2(all_231_1_173, all_231_0_172) = all_0_6_6, cartesian_product2(all_213_1_155, all_213_0_154) = all_0_6_6, yields:
% 25.93/7.16 | (757) all_231_0_172 = empty_set | all_231_1_173 = all_213_1_155 | all_231_1_173 = empty_set
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (15) with all_0_6_6, all_203_0_144, all_203_1_145, all_23_0_22, all_23_1_23 and discharging atoms cartesian_product2(all_203_1_145, all_203_0_144) = all_0_6_6, cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, yields:
% 25.93/7.16 | (758) all_203_1_145 = all_23_1_23 | all_23_0_22 = empty_set | all_23_1_23 = empty_set
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (4) with all_0_6_6, all_229_0_170, all_229_1_171, all_203_0_144, all_203_1_145 and discharging atoms cartesian_product2(all_229_1_171, all_229_0_170) = all_0_6_6, cartesian_product2(all_203_1_145, all_203_0_144) = all_0_6_6, yields:
% 25.93/7.16 | (759) all_229_0_170 = all_203_0_144 | all_203_0_144 = empty_set | all_203_1_145 = empty_set
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (4) with all_0_6_6, all_213_0_154, all_213_1_155, all_203_0_144, all_203_1_145 and discharging atoms cartesian_product2(all_213_1_155, all_213_0_154) = all_0_6_6, cartesian_product2(all_203_1_145, all_203_0_144) = all_0_6_6, yields:
% 25.93/7.16 | (760) all_213_0_154 = all_203_0_144 | all_203_0_144 = empty_set | all_203_1_145 = empty_set
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_247_1_189, all_253_1_195 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_253_1_195, cartesian_product2(all_23_1_23, all_0_9_9) = all_247_1_189, yields:
% 25.93/7.16 | (761) all_253_1_195 = all_247_1_189
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_233_0_174, all_121_1_83 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_233_0_174, cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, yields:
% 25.93/7.16 | (762) all_233_0_174 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_227_0_168, all_255_1_197 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_255_1_197, cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_168, yields:
% 25.93/7.16 | (763) all_255_1_197 = all_227_0_168
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_227_0_168, all_253_1_195 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_253_1_195, cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_168, yields:
% 25.93/7.16 | (764) all_253_1_195 = all_227_0_168
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_223_0_164, all_233_0_174 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_233_0_174, cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_164, yields:
% 25.93/7.16 | (765) all_233_0_174 = all_223_0_164
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_221_0_162, all_255_1_197 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_255_1_197, cartesian_product2(all_23_1_23, all_0_9_9) = all_221_0_162, yields:
% 25.93/7.16 | (766) all_255_1_197 = all_221_0_162
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_221_1_163, all_255_1_197 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_255_1_197, cartesian_product2(all_23_1_23, all_0_9_9) = all_221_1_163, yields:
% 25.93/7.16 | (767) all_255_1_197 = all_221_1_163
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_221_1_163, all_223_0_164 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_164, cartesian_product2(all_23_1_23, all_0_9_9) = all_221_1_163, yields:
% 25.93/7.16 | (768) all_223_0_164 = all_221_1_163
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_219_1_161, all_253_1_195 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_253_1_195, cartesian_product2(all_23_1_23, all_0_9_9) = all_219_1_161, yields:
% 25.93/7.16 | (769) all_253_1_195 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_217_1_159, all_221_1_163 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_221_1_163, cartesian_product2(all_23_1_23, all_0_9_9) = all_217_1_159, yields:
% 25.93/7.16 | (770) all_221_1_163 = all_217_1_159
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_23_1_23, all_0_9_9, all_215_0_156, all_217_1_159 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_217_1_159, cartesian_product2(all_23_1_23, all_0_9_9) = all_215_0_156, yields:
% 25.93/7.16 | (771) all_217_1_159 = all_215_0_156
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_251_1_193, all_47_1_31 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_193, cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31, yields:
% 25.93/7.16 | (772) all_251_1_193 = all_47_1_31
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_217_0_158, all_245_1_187 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_245_1_187, cartesian_product2(all_0_8_8, all_0_9_9) = all_217_0_158, yields:
% 25.93/7.16 | (773) all_245_1_187 = all_217_0_158
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_215_1_157, all_217_0_158 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_217_0_158, cartesian_product2(all_0_8_8, all_0_9_9) = all_215_1_157, yields:
% 25.93/7.16 | (774) all_217_0_158 = all_215_1_157
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_211_1_153, all_251_1_193 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_193, cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_153, yields:
% 25.93/7.16 | (775) all_251_1_193 = all_211_1_153
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_211_1_153, all_215_1_157 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_215_1_157, cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_153, yields:
% 25.93/7.16 | (776) all_215_1_157 = all_211_1_153
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_8_8, all_0_9_9, all_209_0_150, all_245_1_187 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_245_1_187, cartesian_product2(all_0_8_8, all_0_9_9) = all_209_0_150, yields:
% 25.93/7.16 | (777) all_245_1_187 = all_209_0_150
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_249_0_190, all_257_1_199 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_199, cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_190, yields:
% 25.93/7.16 | (778) all_257_1_199 = all_249_0_190
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_247_0_188, all_113_0_74 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188, cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, yields:
% 25.93/7.16 | (779) all_247_0_188 = all_113_0_74
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_247_0_188, all_251_0_192 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_192, cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188, yields:
% 25.93/7.16 | (780) all_251_0_192 = all_247_0_188
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_243_0_184, all_257_1_199 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_199, cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_184, yields:
% 25.93/7.16 | (781) all_257_1_199 = all_243_0_184
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_237_1_179, all_243_0_184 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_184, cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_179, yields:
% 25.93/7.16 | (782) all_243_0_184 = all_237_1_179
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_235_1_177, all_237_1_179 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_179, cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_177, yields:
% 25.93/7.16 | (783) all_237_1_179 = all_235_1_177
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_227_1_169, all_247_0_188 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188, cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_169, yields:
% 25.93/7.16 | (784) all_247_0_188 = all_227_1_169
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_227_1_169, all_235_1_177 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_177, cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_169, yields:
% 25.93/7.16 | (785) all_235_1_177 = all_227_1_169
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_207_0_148, all_251_0_192 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_192, cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_148, yields:
% 25.93/7.16 | (786) all_251_0_192 = all_207_0_148
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_207_1_149, all_257_1_199 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_199, cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_149, yields:
% 25.93/7.16 | (787) all_257_1_199 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_205_1_147, all_247_0_188 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_188, cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_147, yields:
% 25.93/7.16 | (788) all_247_0_188 = all_205_1_147
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_243_1_185, all_47_0_30 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_185, cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30, yields:
% 25.93/7.16 | (789) all_243_1_185 = all_47_0_30
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_241_1_183, all_243_1_185 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_185, cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_183, yields:
% 25.93/7.16 | (790) all_243_1_185 = all_241_1_183
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_239_0_180, all_241_1_183 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_183, cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_180, yields:
% 25.93/7.16 | (791) all_241_1_183 = all_239_0_180
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_249_1_191, all_0_6_6 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 25.93/7.16 | (792) all_249_1_191 = all_0_6_6
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_241_0_182, all_249_1_191 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191, cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_182, yields:
% 25.93/7.16 | (793) all_249_1_191 = all_241_0_182
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_239_1_181, all_249_1_191 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191, cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_181, yields:
% 25.93/7.16 | (794) all_249_1_191 = all_239_1_181
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_223_1_165, all_249_1_191 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191, cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_165, yields:
% 25.93/7.16 | (795) all_249_1_191 = all_223_1_165
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_219_0_160, all_257_0_198 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_198, cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_160, yields:
% 25.93/7.16 | (796) all_257_0_198 = all_219_0_160
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_219_0_160, all_249_1_191 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_191, cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_160, yields:
% 25.93/7.16 | (797) all_249_1_191 = all_219_0_160
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_211_0_152, all_239_1_181 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_181, cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_152, yields:
% 25.93/7.16 | (798) all_239_1_181 = all_211_0_152
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_209_1_151, all_257_0_198 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_198, cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_151, yields:
% 25.93/7.16 | (799) all_257_0_198 = all_209_1_151
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_231_0_172, all_23_0_22 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_172, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 25.93/7.16 | (800) all_231_0_172 = all_23_0_22
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (17) with all_0_9_9, all_0_7_7, all_203_0_144, all_23_0_22 and discharging atoms set_intersection2(all_0_9_9, all_0_7_7) = all_203_0_144, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, yields:
% 25.93/7.16 | (801) all_203_0_144 = all_23_0_22
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (17) with all_0_10_10, all_0_8_8, all_229_1_171, all_23_1_23 and discharging atoms set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_171, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 25.93/7.16 | (802) all_229_1_171 = all_23_1_23
% 25.93/7.16 |
% 25.93/7.16 | Instantiating formula (7) with all_231_1_173, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_173, yields:
% 25.93/7.16 | (803) all_231_1_173 = all_0_10_10
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (796,799) yields a new equation:
% 25.93/7.16 | (804) all_219_0_160 = all_209_1_151
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 804 yields:
% 25.93/7.16 | (805) all_219_0_160 = all_209_1_151
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (787,778) yields a new equation:
% 25.93/7.16 | (806) all_249_0_190 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (781,778) yields a new equation:
% 25.93/7.16 | (807) all_249_0_190 = all_243_0_184
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (763,766) yields a new equation:
% 25.93/7.16 | (808) all_227_0_168 = all_221_0_162
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 808 yields:
% 25.93/7.16 | (809) all_227_0_168 = all_221_0_162
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (767,766) yields a new equation:
% 25.93/7.16 | (810) all_221_0_162 = all_221_1_163
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (764,761) yields a new equation:
% 25.93/7.16 | (811) all_247_1_189 = all_227_0_168
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (769,761) yields a new equation:
% 25.93/7.16 | (812) all_247_1_189 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (780,786) yields a new equation:
% 25.93/7.16 | (813) all_247_0_188 = all_207_0_148
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 813 yields:
% 25.93/7.16 | (814) all_247_0_188 = all_207_0_148
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (775,772) yields a new equation:
% 25.93/7.16 | (815) all_211_1_153 = all_47_1_31
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 815 yields:
% 25.93/7.16 | (816) all_211_1_153 = all_47_1_31
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (807,806) yields a new equation:
% 25.93/7.16 | (817) all_243_0_184 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 817 yields:
% 25.93/7.16 | (818) all_243_0_184 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (795,793) yields a new equation:
% 25.93/7.16 | (819) all_241_0_182 = all_223_1_165
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (794,793) yields a new equation:
% 25.93/7.16 | (820) all_241_0_182 = all_239_1_181
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (792,793) yields a new equation:
% 25.93/7.16 | (821) all_241_0_182 = all_0_6_6
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (797,793) yields a new equation:
% 25.93/7.16 | (822) all_241_0_182 = all_219_0_160
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (784,814) yields a new equation:
% 25.93/7.16 | (823) all_227_1_169 = all_207_0_148
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 823 yields:
% 25.93/7.16 | (824) all_227_1_169 = all_207_0_148
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (788,814) yields a new equation:
% 25.93/7.16 | (825) all_207_0_148 = all_205_1_147
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (779,814) yields a new equation:
% 25.93/7.16 | (826) all_207_0_148 = all_113_0_74
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (811,812) yields a new equation:
% 25.93/7.16 | (827) all_227_0_168 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 827 yields:
% 25.93/7.16 | (828) all_227_0_168 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (773,777) yields a new equation:
% 25.93/7.16 | (829) all_217_0_158 = all_209_0_150
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 829 yields:
% 25.93/7.16 | (830) all_217_0_158 = all_209_0_150
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (782,818) yields a new equation:
% 25.93/7.16 | (831) all_237_1_179 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 831 yields:
% 25.93/7.16 | (832) all_237_1_179 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (790,789) yields a new equation:
% 25.93/7.16 | (833) all_241_1_183 = all_47_0_30
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 833 yields:
% 25.93/7.16 | (834) all_241_1_183 = all_47_0_30
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (821,819) yields a new equation:
% 25.93/7.16 | (835) all_223_1_165 = all_0_6_6
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (820,819) yields a new equation:
% 25.93/7.16 | (836) all_239_1_181 = all_223_1_165
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 836 yields:
% 25.93/7.16 | (837) all_239_1_181 = all_223_1_165
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (822,819) yields a new equation:
% 25.93/7.16 | (838) all_223_1_165 = all_219_0_160
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (791,834) yields a new equation:
% 25.93/7.16 | (839) all_239_0_180 = all_47_0_30
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 839 yields:
% 25.93/7.16 | (840) all_239_0_180 = all_47_0_30
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (837,798) yields a new equation:
% 25.93/7.16 | (841) all_223_1_165 = all_211_0_152
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 841 yields:
% 25.93/7.16 | (842) all_223_1_165 = all_211_0_152
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (783,832) yields a new equation:
% 25.93/7.16 | (843) all_235_1_177 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 843 yields:
% 25.93/7.16 | (844) all_235_1_177 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (785,844) yields a new equation:
% 25.93/7.16 | (845) all_227_1_169 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 845 yields:
% 25.93/7.16 | (846) all_227_1_169 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (765,762) yields a new equation:
% 25.93/7.16 | (847) all_223_0_164 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 847 yields:
% 25.93/7.16 | (848) all_223_0_164 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (809,828) yields a new equation:
% 25.93/7.16 | (849) all_221_0_162 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 849 yields:
% 25.93/7.16 | (850) all_221_0_162 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (824,846) yields a new equation:
% 25.93/7.16 | (851) all_207_0_148 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 851 yields:
% 25.93/7.16 | (852) all_207_0_148 = all_207_1_149
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (768,848) yields a new equation:
% 25.93/7.16 | (853) all_221_1_163 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 853 yields:
% 25.93/7.16 | (854) all_221_1_163 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (838,842) yields a new equation:
% 25.93/7.16 | (855) all_219_0_160 = all_211_0_152
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 855 yields:
% 25.93/7.16 | (856) all_219_0_160 = all_211_0_152
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (835,842) yields a new equation:
% 25.93/7.16 | (857) all_211_0_152 = all_0_6_6
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (810,850) yields a new equation:
% 25.93/7.16 | (858) all_221_1_163 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 858 yields:
% 25.93/7.16 | (859) all_221_1_163 = all_219_1_161
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (770,859) yields a new equation:
% 25.93/7.16 | (860) all_219_1_161 = all_217_1_159
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (854,859) yields a new equation:
% 25.93/7.16 | (861) all_219_1_161 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (856,805) yields a new equation:
% 25.93/7.16 | (862) all_211_0_152 = all_209_1_151
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 862 yields:
% 25.93/7.16 | (863) all_211_0_152 = all_209_1_151
% 25.93/7.16 |
% 25.93/7.16 | Combining equations (860,861) yields a new equation:
% 25.93/7.16 | (864) all_217_1_159 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.16 | Simplifying 864 yields:
% 25.93/7.16 | (865) all_217_1_159 = all_121_1_83
% 25.93/7.16 |
% 25.93/7.17 | Combining equations (774,830) yields a new equation:
% 25.93/7.17 | (866) all_215_1_157 = all_209_0_150
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 866 yields:
% 25.93/7.17 | (867) all_215_1_157 = all_209_0_150
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (771,865) yields a new equation:
% 25.93/7.17 | (868) all_215_0_156 = all_121_1_83
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 868 yields:
% 25.93/7.17 | (869) all_215_0_156 = all_121_1_83
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (776,867) yields a new equation:
% 25.93/7.17 | (870) all_211_1_153 = all_209_0_150
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 870 yields:
% 25.93/7.17 | (871) all_211_1_153 = all_209_0_150
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (857,863) yields a new equation:
% 25.93/7.17 | (872) all_209_1_151 = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (816,871) yields a new equation:
% 25.93/7.17 | (873) all_209_0_150 = all_47_1_31
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (826,852) yields a new equation:
% 25.93/7.17 | (874) all_207_1_149 = all_113_0_74
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (825,852) yields a new equation:
% 25.93/7.17 | (875) all_207_1_149 = all_205_1_147
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (875,874) yields a new equation:
% 25.93/7.17 | (876) all_205_1_147 = all_113_0_74
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 876 yields:
% 25.93/7.17 | (877) all_205_1_147 = all_113_0_74
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (872,863) yields a new equation:
% 25.93/7.17 | (857) all_211_0_152 = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (857,798) yields a new equation:
% 25.93/7.17 | (879) all_239_1_181 = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | From (869) and (672) follows:
% 25.93/7.17 | (365) cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83
% 25.93/7.17 |
% 25.93/7.17 | From (877) and (652) follows:
% 25.93/7.17 | (350) cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74
% 25.93/7.17 |
% 25.93/7.17 | From (872) and (661) follows:
% 25.93/7.17 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | From (879)(840) and (718) follows:
% 25.93/7.17 | (883) set_intersection2(all_0_6_6, all_47_0_30) = all_113_0_74
% 25.93/7.17 |
% 25.93/7.17 | From (872)(873) and (662) follows:
% 25.93/7.17 | (884) set_intersection2(all_0_6_6, all_47_1_31) = all_121_1_83
% 25.93/7.17 |
% 25.93/7.17 | Instantiating formula (17) with all_0_6_6, all_47_0_30, all_113_0_74, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_47_0_30) = all_113_0_74, set_intersection2(all_0_6_6, all_47_0_30) = all_0_6_6, yields:
% 25.93/7.17 | (885) all_113_0_74 = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | Instantiating formula (17) with all_0_6_6, all_47_1_31, all_121_1_83, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_47_1_31) = all_121_1_83, set_intersection2(all_0_6_6, all_47_1_31) = all_0_6_6, yields:
% 25.93/7.17 | (886) all_121_1_83 = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | From (886) and (365) follows:
% 25.93/7.17 | (887) cartesian_product2(all_23_1_23, all_0_9_9) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | From (885) and (350) follows:
% 25.93/7.17 | (888) cartesian_product2(all_0_10_10, all_23_0_22) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (42), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | From (889) and (888) follows:
% 25.93/7.17 | (890) cartesian_product2(all_0_10_10, empty_set) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | Instantiating formula (5) with all_0_6_6, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, empty_set) = all_0_6_6, yields:
% 25.93/7.17 | (891) all_0_6_6 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (891) can reduce 30 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 | (894) all_23_0_22 = all_0_9_9 | all_23_1_23 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (44), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 | (898) all_23_1_23 = all_0_10_10 | all_23_1_23 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (43), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (899) all_0_9_9 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (899,230) yields a new equation:
% 25.93/7.17 | (900) all_81_0_64 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | From (899) and (6) follows:
% 25.93/7.17 | (890) cartesian_product2(all_0_10_10, empty_set) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (760), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (902) all_203_0_144 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (801,902) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (906) ~ (all_203_0_144 = empty_set)
% 25.93/7.17 | (907) all_213_0_154 = all_203_0_144 | all_203_1_145 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (801) can reduce 906 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (201), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (909) all_75_0_58 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (297,909) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (913) ~ (all_75_0_58 = empty_set)
% 25.93/7.17 | (914) all_75_0_58 = all_0_9_9 | all_75_1_59 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (297) can reduce 913 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (203), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (916) all_67_0_50 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (218,916) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (920) ~ (all_67_0_50 = empty_set)
% 25.93/7.17 | (921) all_67_0_50 = all_0_9_9 | all_67_1_51 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (218) can reduce 920 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (204), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (916) all_67_0_50 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (218,916) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (920) ~ (all_67_0_50 = empty_set)
% 25.93/7.17 | (928) all_81_0_64 = all_67_0_50 | all_67_1_51 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (218) can reduce 920 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (928), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (930) all_67_1_51 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (226,930) yields a new equation:
% 25.93/7.17 | (931) all_23_1_23 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 931 yields:
% 25.93/7.17 | (932) all_23_1_23 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (932,802) yields a new equation:
% 25.93/7.17 | (933) all_229_1_171 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (755), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (934) all_231_0_172 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (934,800) yields a new equation:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (937) ~ (all_231_0_172 = empty_set)
% 25.93/7.17 | (938) all_231_0_172 = all_229_0_170 | all_231_1_173 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (800) can reduce 937 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (759), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (902) all_203_0_144 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (801,902) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (906) ~ (all_203_0_144 = empty_set)
% 25.93/7.17 | (945) all_229_0_170 = all_203_0_144 | all_203_1_145 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (801) can reduce 906 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (757), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (934) all_231_0_172 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (934,800) yields a new equation:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (937) ~ (all_231_0_172 = empty_set)
% 25.93/7.17 | (951) all_231_1_173 = all_213_1_155 | all_231_1_173 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (800) can reduce 937 to:
% 25.93/7.17 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (756), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (934) all_231_0_172 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (934,800) yields a new equation:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (937) ~ (all_231_0_172 = empty_set)
% 25.93/7.17 | (957) all_231_1_173 = all_229_1_171 | all_231_1_173 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (957), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (958) all_231_1_173 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (958,803) yields a new equation:
% 25.93/7.17 | (959) all_0_10_10 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | From (959) and (890) follows:
% 25.93/7.17 | (960) cartesian_product2(empty_set, empty_set) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 | Instantiating formula (5) with all_0_6_6, empty_set and discharging atoms cartesian_product2(empty_set, empty_set) = all_0_6_6, yields:
% 25.93/7.17 | (891) all_0_6_6 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (891) can reduce 30 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (963) ~ (all_231_1_173 = empty_set)
% 25.93/7.17 | (964) all_231_1_173 = all_229_1_171
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (964,803) yields a new equation:
% 25.93/7.17 | (965) all_229_1_171 = all_0_10_10
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 965 yields:
% 25.93/7.17 | (966) all_229_1_171 = all_0_10_10
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (966,933) yields a new equation:
% 25.93/7.17 | (967) all_0_10_10 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 967 yields:
% 25.93/7.17 | (959) all_0_10_10 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (959,803) yields a new equation:
% 25.93/7.17 | (958) all_231_1_173 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (958) can reduce 963 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (971) ~ (all_67_1_51 = empty_set)
% 25.93/7.17 | (972) all_81_0_64 = all_67_0_50
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (972,900) yields a new equation:
% 25.93/7.17 | (973) all_67_0_50 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 973 yields:
% 25.93/7.17 | (916) all_67_0_50 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Combining equations (218,916) yields a new equation:
% 25.93/7.17 | (903) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Simplifying 903 yields:
% 25.93/7.17 | (889) all_23_0_22 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (889) can reduce 893 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (978) ~ (all_0_9_9 = empty_set)
% 25.93/7.17 | (979) all_23_1_23 = all_0_10_10 | all_0_10_10 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (41), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (899) all_0_9_9 = empty_set
% 25.93/7.17 |
% 25.93/7.17 | Equations (899) can reduce 978 to:
% 25.93/7.17 | (892) $false
% 25.93/7.17 |
% 25.93/7.17 |-The branch is then unsatisfiable
% 25.93/7.17 |-Branch two:
% 25.93/7.17 | (978) ~ (all_0_9_9 = empty_set)
% 25.93/7.17 | (983) all_23_0_22 = all_0_9_9 | all_0_10_10 = empty_set
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (52), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (984) all_23_1_23 = all_0_10_10
% 25.93/7.17 |
% 25.93/7.17 | From (984) and (887) follows:
% 25.93/7.17 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 25.93/7.17 |
% 25.93/7.17 +-Applying beta-rule and splitting (67), into two cases.
% 25.93/7.17 |-Branch one:
% 25.93/7.17 | (899) all_0_9_9 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (899) can reduce 978 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (978) ~ (all_0_9_9 = empty_set)
% 25.93/7.18 | (989) all_35_0_28 = all_0_9_9 | all_0_10_10 = empty_set
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (344), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (990) all_51_0_34 = all_0_9_9
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (506,990) yields a new equation:
% 25.93/7.18 | (991) all_23_0_22 = all_0_9_9
% 25.93/7.18 |
% 25.93/7.18 | Simplifying 991 yields:
% 25.93/7.18 | (992) all_23_0_22 = all_0_9_9
% 25.93/7.18 |
% 25.93/7.18 | From (992) and (98) follows:
% 25.93/7.18 | (993) subset(all_0_9_9, all_0_7_7) = 0
% 25.93/7.18 |
% 25.93/7.18 | Instantiating formula (18) with all_0_9_9, all_0_7_7, 0, all_0_3_3 and discharging atoms subset(all_0_9_9, all_0_7_7) = all_0_3_3, subset(all_0_9_9, all_0_7_7) = 0, yields:
% 25.93/7.18 | (994) all_0_3_3 = 0
% 25.93/7.18 |
% 25.93/7.18 | Equations (994) can reduce 618 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (996) ~ (all_51_0_34 = all_0_9_9)
% 25.93/7.18 | (997) ? [v0] : ( ~ (v0 = 0) & subset(all_0_9_9, all_23_0_22) = v0)
% 25.93/7.18 |
% 25.93/7.18 | Equations (506) can reduce 996 to:
% 25.93/7.18 | (998) ~ (all_23_0_22 = all_0_9_9)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (989), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (959) all_0_10_10 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | From (959) and (6) follows:
% 25.93/7.18 | (1000) cartesian_product2(empty_set, all_0_9_9) = all_0_6_6
% 25.93/7.18 |
% 25.93/7.18 | Instantiating formula (24) with all_0_6_6, all_0_9_9 and discharging atoms cartesian_product2(empty_set, all_0_9_9) = all_0_6_6, yields:
% 25.93/7.18 | (891) all_0_6_6 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (891) can reduce 30 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1003) ~ (all_0_10_10 = empty_set)
% 25.93/7.18 | (1004) all_35_0_28 = all_0_9_9
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (1004,189) yields a new equation:
% 25.93/7.18 | (992) all_23_0_22 = all_0_9_9
% 25.93/7.18 |
% 25.93/7.18 | Equations (992) can reduce 998 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1007) ~ (all_23_1_23 = all_0_10_10)
% 25.93/7.18 | (1008) ? [v0] : ( ~ (v0 = 0) & subset(all_0_10_10, all_0_8_8) = v0)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (758), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (889) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (889) can reduce 893 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.18 | (1012) all_203_1_145 = all_23_1_23 | all_23_1_23 = empty_set
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (206), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (900) all_81_0_64 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (900,230) yields a new equation:
% 25.93/7.18 | (899) all_0_9_9 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (899) can reduce 978 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1016) ~ (all_81_0_64 = empty_set)
% 25.93/7.18 | (1017) all_81_1_65 = all_61_1_45 | all_81_1_65 = empty_set
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (1017), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1018) all_81_1_65 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (1018,232) yields a new equation:
% 25.93/7.18 | (959) all_0_10_10 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (959) can reduce 1007 to:
% 25.93/7.18 | (1020) ~ (all_23_1_23 = empty_set)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (68), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1021) all_33_0_26 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (1021,69) yields a new equation:
% 25.93/7.18 | (889) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (889) can reduce 893 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1024) ~ (all_33_0_26 = empty_set)
% 25.93/7.18 | (1025) all_33_0_26 = all_0_9_9 | all_33_1_27 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (69) can reduce 1024 to:
% 25.93/7.18 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (199), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1027) all_83_0_66 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (237,1027) yields a new equation:
% 25.93/7.18 | (903) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Simplifying 903 yields:
% 25.93/7.18 | (889) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (889) can reduce 893 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1031) ~ (all_83_0_66 = empty_set)
% 25.93/7.18 | (1032) all_83_0_66 = all_81_0_64 | all_83_1_67 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (237) can reduce 1031 to:
% 25.93/7.18 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (208), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1034) all_49_0_32 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (294,1034) yields a new equation:
% 25.93/7.18 | (903) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Simplifying 903 yields:
% 25.93/7.18 | (889) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (889) can reduce 893 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1038) ~ (all_49_0_32 = empty_set)
% 25.93/7.18 | (1039) all_49_0_32 = all_0_9_9 | all_49_1_33 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (294) can reduce 1038 to:
% 25.93/7.18 | (893) ~ (all_23_0_22 = empty_set)
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (207), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1041) all_55_0_38 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Combining equations (215,1041) yields a new equation:
% 25.93/7.18 | (903) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Simplifying 903 yields:
% 25.93/7.18 | (889) all_23_0_22 = empty_set
% 25.93/7.18 |
% 25.93/7.18 | Equations (889) can reduce 893 to:
% 25.93/7.18 | (892) $false
% 25.93/7.18 |
% 25.93/7.18 |-The branch is then unsatisfiable
% 25.93/7.18 |-Branch two:
% 25.93/7.18 | (1045) ~ (all_55_0_38 = empty_set)
% 25.93/7.18 | (1046) all_55_1_39 = all_0_10_10 | all_55_1_39 = empty_set
% 25.93/7.18 |
% 25.93/7.18 +-Applying beta-rule and splitting (1032), into two cases.
% 25.93/7.18 |-Branch one:
% 25.93/7.18 | (1047) all_83_1_67 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (1047,238) yields a new equation:
% 26.17/7.18 | (932) all_23_1_23 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Equations (932) can reduce 1020 to:
% 26.17/7.18 | (892) $false
% 26.17/7.18 |
% 26.17/7.18 |-The branch is then unsatisfiable
% 26.17/7.18 |-Branch two:
% 26.17/7.18 | (1050) ~ (all_83_1_67 = empty_set)
% 26.17/7.18 | (1051) all_83_0_66 = all_81_0_64
% 26.17/7.18 |
% 26.17/7.18 | Equations (238) can reduce 1050 to:
% 26.17/7.18 | (1020) ~ (all_23_1_23 = empty_set)
% 26.17/7.18 |
% 26.17/7.18 +-Applying beta-rule and splitting (1046), into two cases.
% 26.17/7.18 |-Branch one:
% 26.17/7.18 | (1053) all_55_1_39 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (242,1053) yields a new equation:
% 26.17/7.18 | (931) all_23_1_23 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Simplifying 931 yields:
% 26.17/7.18 | (932) all_23_1_23 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Equations (932) can reduce 1020 to:
% 26.17/7.18 | (892) $false
% 26.17/7.18 |
% 26.17/7.18 |-The branch is then unsatisfiable
% 26.17/7.18 |-Branch two:
% 26.17/7.18 | (1057) ~ (all_55_1_39 = empty_set)
% 26.17/7.18 | (1058) all_55_1_39 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (242,1058) yields a new equation:
% 26.17/7.18 | (1059) all_23_1_23 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Simplifying 1059 yields:
% 26.17/7.18 | (984) all_23_1_23 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (959,984) yields a new equation:
% 26.17/7.18 | (932) all_23_1_23 = empty_set
% 26.17/7.18 |
% 26.17/7.18 | Equations (932) can reduce 1020 to:
% 26.17/7.18 | (892) $false
% 26.17/7.18 |
% 26.17/7.18 |-The branch is then unsatisfiable
% 26.17/7.18 |-Branch two:
% 26.17/7.18 | (1063) ~ (all_81_1_65 = empty_set)
% 26.17/7.18 | (1064) all_81_1_65 = all_61_1_45
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (1064,232) yields a new equation:
% 26.17/7.18 | (1065) all_61_1_45 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Simplifying 1065 yields:
% 26.17/7.18 | (1066) all_61_1_45 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Combining equations (1066,287) yields a new equation:
% 26.17/7.18 | (984) all_23_1_23 = all_0_10_10
% 26.17/7.18 |
% 26.17/7.18 | Equations (984) can reduce 1007 to:
% 26.17/7.18 | (892) $false
% 26.17/7.18 |
% 26.17/7.18 |-The branch is then unsatisfiable
% 26.17/7.18 |-Branch two:
% 26.17/7.18 | (1069) ~ (all_0_4_4 = 0) & subset(all_0_10_10, all_0_8_8) = all_0_4_4
% 26.17/7.18 |
% 26.17/7.18 | Applying alpha-rule on (1069) yields:
% 26.17/7.18 | (1070) ~ (all_0_4_4 = 0)
% 26.17/7.18 | (1071) subset(all_0_10_10, all_0_8_8) = all_0_4_4
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 26.17/7.18 | (622) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_121_1_83)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, yields:
% 26.17/7.18 | (624) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_121_1_83)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 26.17/7.18 | (625) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (626) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_7_7, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (627) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_7_7) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_9_9, all_23_0_22, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (628) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_7_7, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (629) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_0_7_7) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_9_9, all_0_7_7, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_7_7, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (630) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_0_7_7) = v0 & cartesian_product2(all_0_10_10, all_0_9_9) = v1 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_0_7_7, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_9_9, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (631) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_0_7_7) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (28) with all_0_6_6, all_113_0_74, all_0_6_6, all_23_0_22, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_113_0_74) = all_0_6_6, yields:
% 26.17/7.18 | (633) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = v1 & set_intersection2(all_0_10_10, all_0_10_10) = v0)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (28) with all_0_6_6, all_47_1_31, all_0_6_6, all_0_9_9, all_0_9_9, all_0_8_8, all_0_10_10 and discharging atoms cartesian_product2(all_0_8_8, all_0_9_9) = all_47_1_31, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, set_intersection2(all_0_6_6, all_47_1_31) = all_0_6_6, yields:
% 26.17/7.18 | (635) ? [v0] : ? [v1] : (cartesian_product2(v0, v1) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = v1 & set_intersection2(all_0_10_10, all_0_8_8) = v0)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_0_10_10, all_23_1_23 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_1_23, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 26.17/7.18 | (638) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_0_9_9, all_0_10_10, all_0_8_8 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_0_8_8, all_0_10_10) = all_23_1_23, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 26.17/7.18 | (640) ? [v0] : ? [v1] : (cartesian_product2(all_0_8_8, all_0_9_9) = v0 & cartesian_product2(all_0_10_10, all_23_0_22) = v1 & set_intersection2(v0, v1) = all_0_6_6)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_113_0_74, all_23_0_22, all_0_10_10, all_23_0_22, all_0_9_9, all_0_10_10, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_0_10_10) = all_0_10_10, yields:
% 26.17/7.18 | (641) ? [v0] : ? [v1] : (cartesian_product2(all_0_10_10, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_113_0_74)
% 26.17/7.18 |
% 26.17/7.18 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_23_0_22, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_23_0_22) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 26.17/7.19 | (642) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_23_0_22) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_7_7, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_7_7) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 26.17/7.19 | (643) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_7_7) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (2) with all_0_6_6, all_23_0_22, all_23_1_23, all_0_9_9, all_23_0_22, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_23_0_22) = all_0_6_6, set_intersection2(all_23_0_22, all_0_9_9) = all_23_0_22, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 26.17/7.19 | (644) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_23_0_22) = v0 & set_intersection2(v0, v1) = all_0_6_6)
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (2) with all_121_1_83, all_0_9_9, all_23_1_23, all_0_9_9, all_0_9_9, all_23_1_23, all_0_10_10 and discharging atoms cartesian_product2(all_23_1_23, all_0_9_9) = all_121_1_83, set_intersection2(all_0_9_9, all_0_9_9) = all_0_9_9, set_intersection2(all_0_10_10, all_23_1_23) = all_23_1_23, yields:
% 26.17/7.19 | (646) ? [v0] : ? [v1] : (cartesian_product2(all_23_1_23, all_0_9_9) = v1 & cartesian_product2(all_0_10_10, all_0_9_9) = v0 & set_intersection2(v0, v1) = all_121_1_83)
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (627) with all_205_0_224, all_205_1_225 yields:
% 26.17/7.19 | (1090) cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_225 & cartesian_product2(all_0_10_10, all_0_7_7) = all_205_0_224 & set_intersection2(all_205_1_225, all_205_0_224) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1090) yields:
% 26.17/7.19 | (1091) cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_225
% 26.17/7.19 | (1092) cartesian_product2(all_0_10_10, all_0_7_7) = all_205_0_224
% 26.17/7.19 | (1093) set_intersection2(all_205_1_225, all_205_0_224) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (626) with all_207_0_226, all_207_1_227 yields:
% 26.17/7.19 | (1094) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_226 & cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_227 & set_intersection2(all_207_1_227, all_207_0_226) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1094) yields:
% 26.17/7.19 | (1095) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_226
% 26.17/7.19 | (1096) cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_227
% 26.17/7.19 | (1097) set_intersection2(all_207_1_227, all_207_0_226) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (625) with all_209_0_228, all_209_1_229 yields:
% 26.17/7.19 | (1098) cartesian_product2(all_0_8_8, all_0_9_9) = all_209_0_228 & cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_229 & set_intersection2(all_209_1_229, all_209_0_228) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1098) yields:
% 26.17/7.19 | (1099) cartesian_product2(all_0_8_8, all_0_9_9) = all_209_0_228
% 26.17/7.19 | (1100) cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_229
% 26.17/7.19 | (1101) set_intersection2(all_209_1_229, all_209_0_228) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (624) with all_211_0_230, all_211_1_231 yields:
% 26.17/7.19 | (1102) cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_231 & cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_230 & set_intersection2(all_211_1_231, all_211_0_230) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1102) yields:
% 26.17/7.19 | (1103) cartesian_product2(all_0_8_8, all_0_9_9) = all_211_1_231
% 26.17/7.19 | (1104) cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_230
% 26.17/7.19 | (1105) set_intersection2(all_211_1_231, all_211_0_230) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (622) with all_219_0_238, all_219_1_239 yields:
% 26.17/7.19 | (1106) cartesian_product2(all_23_1_23, all_0_9_9) = all_219_1_239 & cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_238 & set_intersection2(all_219_1_239, all_219_0_238) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1106) yields:
% 26.17/7.19 | (1107) cartesian_product2(all_23_1_23, all_0_9_9) = all_219_1_239
% 26.17/7.19 | (1108) cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_238
% 26.17/7.19 | (1109) set_intersection2(all_219_1_239, all_219_0_238) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (646) with all_223_0_242, all_223_1_243 yields:
% 26.17/7.19 | (1110) cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_242 & cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_243 & set_intersection2(all_223_1_243, all_223_0_242) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1110) yields:
% 26.17/7.19 | (1111) cartesian_product2(all_23_1_23, all_0_9_9) = all_223_0_242
% 26.17/7.19 | (1112) cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_243
% 26.17/7.19 | (1113) set_intersection2(all_223_1_243, all_223_0_242) = all_121_1_83
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (644) with all_227_0_246, all_227_1_247 yields:
% 26.17/7.19 | (1114) cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_246 & cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_247 & set_intersection2(all_227_1_247, all_227_0_246) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1114) yields:
% 26.17/7.19 | (1115) cartesian_product2(all_23_1_23, all_0_9_9) = all_227_0_246
% 26.17/7.19 | (1116) cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_247
% 26.17/7.19 | (1117) set_intersection2(all_227_1_247, all_227_0_246) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (635) with all_229_0_248, all_229_1_249 yields:
% 26.17/7.19 | (1118) cartesian_product2(all_229_1_249, all_229_0_248) = all_0_6_6 & set_intersection2(all_0_9_9, all_0_9_9) = all_229_0_248 & set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_249
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1118) yields:
% 26.17/7.19 | (1119) cartesian_product2(all_229_1_249, all_229_0_248) = all_0_6_6
% 26.17/7.19 | (1120) set_intersection2(all_0_9_9, all_0_9_9) = all_229_0_248
% 26.17/7.19 | (1121) set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_249
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (633) with all_231_0_250, all_231_1_251 yields:
% 26.17/7.19 | (1122) cartesian_product2(all_231_1_251, all_231_0_250) = all_0_6_6 & set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_250 & set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_251
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1122) yields:
% 26.17/7.19 | (1123) cartesian_product2(all_231_1_251, all_231_0_250) = all_0_6_6
% 26.17/7.19 | (1124) set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_250
% 26.17/7.19 | (1125) set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_251
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (643) with all_235_0_254, all_235_1_255 yields:
% 26.17/7.19 | (1126) cartesian_product2(all_23_1_23, all_0_7_7) = all_235_0_254 & cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_255 & set_intersection2(all_235_1_255, all_235_0_254) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1126) yields:
% 26.17/7.19 | (1127) cartesian_product2(all_23_1_23, all_0_7_7) = all_235_0_254
% 26.17/7.19 | (1128) cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_255
% 26.17/7.19 | (1129) set_intersection2(all_235_1_255, all_235_0_254) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (642) with all_237_0_256, all_237_1_257 yields:
% 26.17/7.19 | (1130) cartesian_product2(all_23_1_23, all_23_0_22) = all_237_0_256 & cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_257 & set_intersection2(all_237_1_257, all_237_0_256) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1130) yields:
% 26.17/7.19 | (1131) cartesian_product2(all_23_1_23, all_23_0_22) = all_237_0_256
% 26.17/7.19 | (1132) cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_257
% 26.17/7.19 | (1133) set_intersection2(all_237_1_257, all_237_0_256) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (631) with all_239_0_258, all_239_1_259 yields:
% 26.17/7.19 | (1134) cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_258 & cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_259 & set_intersection2(all_239_1_259, all_239_0_258) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1134) yields:
% 26.17/7.19 | (1135) cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_258
% 26.17/7.19 | (1136) cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_259
% 26.17/7.19 | (1137) set_intersection2(all_239_1_259, all_239_0_258) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (630) with all_241_0_260, all_241_1_261 yields:
% 26.17/7.19 | (1138) cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_261 & cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_260 & set_intersection2(all_241_1_261, all_241_0_260) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1138) yields:
% 26.17/7.19 | (1139) cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_261
% 26.17/7.19 | (1140) cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_260
% 26.17/7.19 | (1141) set_intersection2(all_241_1_261, all_241_0_260) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (629) with all_243_0_262, all_243_1_263 yields:
% 26.17/7.19 | (1142) cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_262 & cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_263 & set_intersection2(all_243_1_263, all_243_0_262) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1142) yields:
% 26.17/7.19 | (1143) cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_262
% 26.17/7.19 | (1144) cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_263
% 26.17/7.19 | (1145) set_intersection2(all_243_1_263, all_243_0_262) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (638) with all_247_0_266, all_247_1_267 yields:
% 26.17/7.19 | (1146) cartesian_product2(all_23_1_23, all_0_9_9) = all_247_1_267 & cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266 & set_intersection2(all_247_1_267, all_247_0_266) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1146) yields:
% 26.17/7.19 | (1147) cartesian_product2(all_23_1_23, all_0_9_9) = all_247_1_267
% 26.17/7.19 | (1148) cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266
% 26.17/7.19 | (1149) set_intersection2(all_247_1_267, all_247_0_266) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (641) with all_249_0_268, all_249_1_269 yields:
% 26.17/7.19 | (1150) cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_268 & cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269 & set_intersection2(all_249_1_269, all_249_0_268) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1150) yields:
% 26.17/7.19 | (1151) cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_268
% 26.17/7.19 | (1152) cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269
% 26.17/7.19 | (1153) set_intersection2(all_249_1_269, all_249_0_268) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (640) with all_251_0_270, all_251_1_271 yields:
% 26.17/7.19 | (1154) cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_271 & cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_270 & set_intersection2(all_251_1_271, all_251_0_270) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1154) yields:
% 26.17/7.19 | (1155) cartesian_product2(all_0_8_8, all_0_9_9) = all_251_1_271
% 26.17/7.19 | (1156) cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_270
% 26.17/7.19 | (1157) set_intersection2(all_251_1_271, all_251_0_270) = all_0_6_6
% 26.17/7.19 |
% 26.17/7.19 | Instantiating (628) with all_257_0_276, all_257_1_277 yields:
% 26.17/7.19 | (1158) cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_277 & cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_276 & set_intersection2(all_257_1_277, all_257_0_276) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Applying alpha-rule on (1158) yields:
% 26.17/7.19 | (1159) cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_277
% 26.17/7.19 | (1160) cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_276
% 26.17/7.19 | (1161) set_intersection2(all_257_1_277, all_257_0_276) = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (15) with all_0_6_6, all_229_0_248, all_229_1_249, all_231_0_250, all_231_1_251 and discharging atoms cartesian_product2(all_231_1_251, all_231_0_250) = all_0_6_6, cartesian_product2(all_229_1_249, all_229_0_248) = all_0_6_6, yields:
% 26.17/7.19 | (1162) all_231_0_250 = empty_set | all_231_1_251 = all_229_1_249 | all_231_1_251 = empty_set
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_249_0_268, all_257_1_277 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_277, cartesian_product2(all_0_10_10, all_23_0_22) = all_249_0_268, yields:
% 26.17/7.19 | (1163) all_257_1_277 = all_249_0_268
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_247_0_266, all_113_0_74 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266, cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74, yields:
% 26.17/7.19 | (1164) all_247_0_266 = all_113_0_74
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_247_0_266, all_251_0_270 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_270, cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266, yields:
% 26.17/7.19 | (1165) all_251_0_270 = all_247_0_266
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_243_0_262, all_257_1_277 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_277, cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_262, yields:
% 26.17/7.19 | (1166) all_257_1_277 = all_243_0_262
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_237_1_257, all_243_0_262 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_243_0_262, cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_257, yields:
% 26.17/7.19 | (1167) all_243_0_262 = all_237_1_257
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_235_1_255, all_237_1_257 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_237_1_257, cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_255, yields:
% 26.17/7.19 | (1168) all_237_1_257 = all_235_1_255
% 26.17/7.19 |
% 26.17/7.19 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_227_1_247, all_247_0_266 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266, cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_247, yields:
% 26.17/7.19 | (1169) all_247_0_266 = all_227_1_247
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_227_1_247, all_235_1_255 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_235_1_255, cartesian_product2(all_0_10_10, all_23_0_22) = all_227_1_247, yields:
% 26.17/7.20 | (1170) all_235_1_255 = all_227_1_247
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_207_0_226, all_251_0_270 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_251_0_270, cartesian_product2(all_0_10_10, all_23_0_22) = all_207_0_226, yields:
% 26.17/7.20 | (1171) all_251_0_270 = all_207_0_226
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_207_1_227, all_257_1_277 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_257_1_277, cartesian_product2(all_0_10_10, all_23_0_22) = all_207_1_227, yields:
% 26.17/7.20 | (1172) all_257_1_277 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_23_0_22, all_205_1_225, all_247_0_266 and discharging atoms cartesian_product2(all_0_10_10, all_23_0_22) = all_247_0_266, cartesian_product2(all_0_10_10, all_23_0_22) = all_205_1_225, yields:
% 26.17/7.20 | (1173) all_247_0_266 = all_205_1_225
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_243_1_263, all_47_0_30 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_263, cartesian_product2(all_0_10_10, all_0_7_7) = all_47_0_30, yields:
% 26.17/7.20 | (1174) all_243_1_263 = all_47_0_30
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_241_1_261, all_243_1_263 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_243_1_263, cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_261, yields:
% 26.17/7.20 | (1175) all_243_1_263 = all_241_1_261
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_7_7, all_239_0_258, all_241_1_261 and discharging atoms cartesian_product2(all_0_10_10, all_0_7_7) = all_241_1_261, cartesian_product2(all_0_10_10, all_0_7_7) = all_239_0_258, yields:
% 26.17/7.20 | (1176) all_241_1_261 = all_239_0_258
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_249_1_269, all_0_6_6 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269, cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6, yields:
% 26.17/7.20 | (1177) all_249_1_269 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_241_0_260, all_249_1_269 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269, cartesian_product2(all_0_10_10, all_0_9_9) = all_241_0_260, yields:
% 26.17/7.20 | (1178) all_249_1_269 = all_241_0_260
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_239_1_259, all_249_1_269 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269, cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_259, yields:
% 26.17/7.20 | (1179) all_249_1_269 = all_239_1_259
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_223_1_243, all_249_1_269 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269, cartesian_product2(all_0_10_10, all_0_9_9) = all_223_1_243, yields:
% 26.17/7.20 | (1180) all_249_1_269 = all_223_1_243
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_219_0_238, all_257_0_276 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_276, cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_238, yields:
% 26.17/7.20 | (1181) all_257_0_276 = all_219_0_238
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_219_0_238, all_249_1_269 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_249_1_269, cartesian_product2(all_0_10_10, all_0_9_9) = all_219_0_238, yields:
% 26.17/7.20 | (1182) all_249_1_269 = all_219_0_238
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_211_0_230, all_239_1_259 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_239_1_259, cartesian_product2(all_0_10_10, all_0_9_9) = all_211_0_230, yields:
% 26.17/7.20 | (1183) all_239_1_259 = all_211_0_230
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (27) with all_0_10_10, all_0_9_9, all_209_1_229, all_257_0_276 and discharging atoms cartesian_product2(all_0_10_10, all_0_9_9) = all_257_0_276, cartesian_product2(all_0_10_10, all_0_9_9) = all_209_1_229, yields:
% 26.17/7.20 | (1184) all_257_0_276 = all_209_1_229
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (17) with all_0_9_9, all_23_0_22, all_231_0_250, all_23_0_22 and discharging atoms set_intersection2(all_0_9_9, all_23_0_22) = all_231_0_250, set_intersection2(all_0_9_9, all_23_0_22) = all_23_0_22, yields:
% 26.17/7.20 | (1185) all_231_0_250 = all_23_0_22
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (17) with all_0_10_10, all_0_8_8, all_229_1_249, all_23_1_23 and discharging atoms set_intersection2(all_0_10_10, all_0_8_8) = all_229_1_249, set_intersection2(all_0_10_10, all_0_8_8) = all_23_1_23, yields:
% 26.17/7.20 | (1186) all_229_1_249 = all_23_1_23
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (7) with all_231_1_251, all_0_10_10 and discharging atoms set_intersection2(all_0_10_10, all_0_10_10) = all_231_1_251, yields:
% 26.17/7.20 | (1187) all_231_1_251 = all_0_10_10
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1181,1184) yields a new equation:
% 26.17/7.20 | (1188) all_219_0_238 = all_209_1_229
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1188 yields:
% 26.17/7.20 | (1189) all_219_0_238 = all_209_1_229
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1172,1163) yields a new equation:
% 26.17/7.20 | (1190) all_249_0_268 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1166,1163) yields a new equation:
% 26.17/7.20 | (1191) all_249_0_268 = all_243_0_262
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1165,1171) yields a new equation:
% 26.17/7.20 | (1192) all_247_0_266 = all_207_0_226
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1192 yields:
% 26.17/7.20 | (1193) all_247_0_266 = all_207_0_226
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1191,1190) yields a new equation:
% 26.17/7.20 | (1194) all_243_0_262 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1194 yields:
% 26.17/7.20 | (1195) all_243_0_262 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1180,1178) yields a new equation:
% 26.17/7.20 | (1196) all_241_0_260 = all_223_1_243
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1179,1178) yields a new equation:
% 26.17/7.20 | (1197) all_241_0_260 = all_239_1_259
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1177,1178) yields a new equation:
% 26.17/7.20 | (1198) all_241_0_260 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1182,1178) yields a new equation:
% 26.17/7.20 | (1199) all_241_0_260 = all_219_0_238
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1169,1193) yields a new equation:
% 26.17/7.20 | (1200) all_227_1_247 = all_207_0_226
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1200 yields:
% 26.17/7.20 | (1201) all_227_1_247 = all_207_0_226
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1173,1193) yields a new equation:
% 26.17/7.20 | (1202) all_207_0_226 = all_205_1_225
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1164,1193) yields a new equation:
% 26.17/7.20 | (1203) all_207_0_226 = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1167,1195) yields a new equation:
% 26.17/7.20 | (1204) all_237_1_257 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1204 yields:
% 26.17/7.20 | (1205) all_237_1_257 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1175,1174) yields a new equation:
% 26.17/7.20 | (1206) all_241_1_261 = all_47_0_30
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1206 yields:
% 26.17/7.20 | (1207) all_241_1_261 = all_47_0_30
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1198,1196) yields a new equation:
% 26.17/7.20 | (1208) all_223_1_243 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1197,1196) yields a new equation:
% 26.17/7.20 | (1209) all_239_1_259 = all_223_1_243
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1209 yields:
% 26.17/7.20 | (1210) all_239_1_259 = all_223_1_243
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1199,1196) yields a new equation:
% 26.17/7.20 | (1211) all_223_1_243 = all_219_0_238
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1176,1207) yields a new equation:
% 26.17/7.20 | (1212) all_239_0_258 = all_47_0_30
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1212 yields:
% 26.17/7.20 | (1213) all_239_0_258 = all_47_0_30
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1210,1183) yields a new equation:
% 26.17/7.20 | (1214) all_223_1_243 = all_211_0_230
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1214 yields:
% 26.17/7.20 | (1215) all_223_1_243 = all_211_0_230
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1168,1205) yields a new equation:
% 26.17/7.20 | (1216) all_235_1_255 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1216 yields:
% 26.17/7.20 | (1217) all_235_1_255 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1170,1217) yields a new equation:
% 26.17/7.20 | (1218) all_227_1_247 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1218 yields:
% 26.17/7.20 | (1219) all_227_1_247 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1201,1219) yields a new equation:
% 26.17/7.20 | (1220) all_207_0_226 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1220 yields:
% 26.17/7.20 | (1221) all_207_0_226 = all_207_1_227
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1211,1215) yields a new equation:
% 26.17/7.20 | (1222) all_219_0_238 = all_211_0_230
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1222 yields:
% 26.17/7.20 | (1223) all_219_0_238 = all_211_0_230
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1208,1215) yields a new equation:
% 26.17/7.20 | (1224) all_211_0_230 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1223,1189) yields a new equation:
% 26.17/7.20 | (1225) all_211_0_230 = all_209_1_229
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1225 yields:
% 26.17/7.20 | (1226) all_211_0_230 = all_209_1_229
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1224,1226) yields a new equation:
% 26.17/7.20 | (1227) all_209_1_229 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1203,1221) yields a new equation:
% 26.17/7.20 | (1228) all_207_1_227 = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1202,1221) yields a new equation:
% 26.17/7.20 | (1229) all_207_1_227 = all_205_1_225
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1229,1228) yields a new equation:
% 26.17/7.20 | (1230) all_205_1_225 = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 1230 yields:
% 26.17/7.20 | (1231) all_205_1_225 = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1227,1226) yields a new equation:
% 26.17/7.20 | (1224) all_211_0_230 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1224,1183) yields a new equation:
% 26.17/7.20 | (1233) all_239_1_259 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | From (1231) and (1091) follows:
% 26.17/7.20 | (350) cartesian_product2(all_0_10_10, all_23_0_22) = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | From (1227) and (1100) follows:
% 26.17/7.20 | (6) cartesian_product2(all_0_10_10, all_0_9_9) = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | From (1233)(1213) and (1137) follows:
% 26.17/7.20 | (883) set_intersection2(all_0_6_6, all_47_0_30) = all_113_0_74
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (17) with all_0_6_6, all_47_0_30, all_113_0_74, all_0_6_6 and discharging atoms set_intersection2(all_0_6_6, all_47_0_30) = all_113_0_74, set_intersection2(all_0_6_6, all_47_0_30) = all_0_6_6, yields:
% 26.17/7.20 | (885) all_113_0_74 = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | From (885) and (350) follows:
% 26.17/7.20 | (888) cartesian_product2(all_0_10_10, all_23_0_22) = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (44), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | From (889) and (888) follows:
% 26.17/7.20 | (890) cartesian_product2(all_0_10_10, empty_set) = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 | Instantiating formula (5) with all_0_6_6, all_0_10_10 and discharging atoms cartesian_product2(all_0_10_10, empty_set) = all_0_6_6, yields:
% 26.17/7.20 | (891) all_0_6_6 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (891) can reduce 30 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 | (898) all_23_1_23 = all_0_10_10 | all_23_1_23 = empty_set
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (42), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (889) can reduce 893 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 | (894) all_23_0_22 = all_0_9_9 | all_23_1_23 = empty_set
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (41), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (899) all_0_9_9 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (899,230) yields a new equation:
% 26.17/7.20 | (900) all_81_0_64 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | From (899) and (6) follows:
% 26.17/7.20 | (890) cartesian_product2(all_0_10_10, empty_set) = all_0_6_6
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (200), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (1252) all_77_0_60 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (251,1252) yields a new equation:
% 26.17/7.20 | (903) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 903 yields:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (889) can reduce 893 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (1256) ~ (all_77_0_60 = empty_set)
% 26.17/7.20 | (1257) all_77_0_60 = all_0_9_9 | all_77_1_61 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (251) can reduce 1256 to:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (68), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (1021) all_33_0_26 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (1021,69) yields a new equation:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (889) can reduce 893 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (1024) ~ (all_33_0_26 = empty_set)
% 26.17/7.20 | (1025) all_33_0_26 = all_0_9_9 | all_33_1_27 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (69) can reduce 1024 to:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (49), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (992) all_23_0_22 = all_0_9_9
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (899,992) yields a new equation:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (889) can reduce 893 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (998) ~ (all_23_0_22 = all_0_9_9)
% 26.17/7.20 | (1269) ? [v0] : ( ~ (v0 = 0) & subset(all_0_9_9, all_0_7_7) = v0)
% 26.17/7.20 |
% 26.17/7.20 | Equations (899) can reduce 998 to:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (202), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (909) all_75_0_58 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Combining equations (297,909) yields a new equation:
% 26.17/7.20 | (903) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Simplifying 903 yields:
% 26.17/7.20 | (889) all_23_0_22 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (889) can reduce 893 to:
% 26.17/7.20 | (892) $false
% 26.17/7.20 |
% 26.17/7.20 |-The branch is then unsatisfiable
% 26.17/7.20 |-Branch two:
% 26.17/7.20 | (913) ~ (all_75_0_58 = empty_set)
% 26.17/7.20 | (1276) all_81_0_64 = all_75_0_58 | all_75_1_59 = empty_set
% 26.17/7.20 |
% 26.17/7.20 | Equations (297) can reduce 913 to:
% 26.17/7.20 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.20 |
% 26.17/7.20 +-Applying beta-rule and splitting (205), into two cases.
% 26.17/7.20 |-Branch one:
% 26.17/7.20 | (1278) all_65_0_48 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (290,1278) yields a new equation:
% 26.17/7.21 | (903) all_23_0_22 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 903 yields:
% 26.17/7.21 | (889) all_23_0_22 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (889) can reduce 893 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1282) ~ (all_65_0_48 = empty_set)
% 26.17/7.21 | (1283) all_81_0_64 = all_65_0_48 | all_65_1_49 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (290) can reduce 1282 to:
% 26.17/7.21 | (893) ~ (all_23_0_22 = empty_set)
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (1283), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (1285) all_65_1_49 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (291,1285) yields a new equation:
% 26.17/7.21 | (931) all_23_1_23 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 931 yields:
% 26.17/7.21 | (932) all_23_1_23 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (932,1186) yields a new equation:
% 26.17/7.21 | (1288) all_229_1_249 = empty_set
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (1162), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (1289) all_231_0_250 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (1289,1185) yields a new equation:
% 26.17/7.21 | (889) all_23_0_22 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (889) can reduce 893 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1292) ~ (all_231_0_250 = empty_set)
% 26.17/7.21 | (1293) all_231_1_251 = all_229_1_249 | all_231_1_251 = empty_set
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (1293), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (1294) all_231_1_251 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (1294,1187) yields a new equation:
% 26.17/7.21 | (959) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | From (959) and (890) follows:
% 26.17/7.21 | (960) cartesian_product2(empty_set, empty_set) = all_0_6_6
% 26.17/7.21 |
% 26.17/7.21 | Instantiating formula (5) with all_0_6_6, empty_set and discharging atoms cartesian_product2(empty_set, empty_set) = all_0_6_6, yields:
% 26.17/7.21 | (891) all_0_6_6 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (891) can reduce 30 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1299) ~ (all_231_1_251 = empty_set)
% 26.17/7.21 | (1300) all_231_1_251 = all_229_1_249
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (1300,1187) yields a new equation:
% 26.17/7.21 | (1301) all_229_1_249 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 1301 yields:
% 26.17/7.21 | (1302) all_229_1_249 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (1302,1288) yields a new equation:
% 26.17/7.21 | (967) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 967 yields:
% 26.17/7.21 | (959) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (959,1187) yields a new equation:
% 26.17/7.21 | (1294) all_231_1_251 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (1294) can reduce 1299 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1307) ~ (all_65_1_49 = empty_set)
% 26.17/7.21 | (1308) all_81_0_64 = all_65_0_48
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (1308,900) yields a new equation:
% 26.17/7.21 | (1309) all_65_0_48 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 1309 yields:
% 26.17/7.21 | (1278) all_65_0_48 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (290,1278) yields a new equation:
% 26.17/7.21 | (903) all_23_0_22 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 903 yields:
% 26.17/7.21 | (889) all_23_0_22 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (889) can reduce 893 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (978) ~ (all_0_9_9 = empty_set)
% 26.17/7.21 | (983) all_23_0_22 = all_0_9_9 | all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (43), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (899) all_0_9_9 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (899) can reduce 978 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (978) ~ (all_0_9_9 = empty_set)
% 26.17/7.21 | (979) all_23_1_23 = all_0_10_10 | all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (346), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (1320) all_51_1_35 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (507,1320) yields a new equation:
% 26.17/7.21 | (1059) all_23_1_23 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 1059 yields:
% 26.17/7.21 | (984) all_23_1_23 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | From (984) and (102) follows:
% 26.17/7.21 | (1323) subset(all_0_10_10, all_0_8_8) = 0
% 26.17/7.21 |
% 26.17/7.21 | Instantiating formula (18) with all_0_10_10, all_0_8_8, 0, all_0_4_4 and discharging atoms subset(all_0_10_10, all_0_8_8) = all_0_4_4, subset(all_0_10_10, all_0_8_8) = 0, yields:
% 26.17/7.21 | (1324) all_0_4_4 = 0
% 26.17/7.21 |
% 26.17/7.21 | Equations (1324) can reduce 1070 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1326) ~ (all_51_1_35 = all_0_10_10)
% 26.17/7.21 | (1327) ? [v0] : ( ~ (v0 = 0) & subset(all_0_10_10, all_23_1_23) = v0)
% 26.17/7.21 |
% 26.17/7.21 | Equations (507) can reduce 1326 to:
% 26.17/7.21 | (1007) ~ (all_23_1_23 = all_0_10_10)
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (898), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (932) all_23_1_23 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (932) can reduce 1007 to:
% 26.17/7.21 | (1330) ~ (all_0_10_10 = empty_set)
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 1330 yields:
% 26.17/7.21 | (1003) ~ (all_0_10_10 = empty_set)
% 26.17/7.21 |
% 26.17/7.21 +-Applying beta-rule and splitting (979), into two cases.
% 26.17/7.21 |-Branch one:
% 26.17/7.21 | (959) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (959) can reduce 1003 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1003) ~ (all_0_10_10 = empty_set)
% 26.17/7.21 | (984) all_23_1_23 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Combining equations (984,932) yields a new equation:
% 26.17/7.21 | (967) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Simplifying 967 yields:
% 26.17/7.21 | (959) all_0_10_10 = empty_set
% 26.17/7.21 |
% 26.17/7.21 | Equations (959) can reduce 1003 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1020) ~ (all_23_1_23 = empty_set)
% 26.17/7.21 | (984) all_23_1_23 = all_0_10_10
% 26.17/7.21 |
% 26.17/7.21 | Equations (984) can reduce 1007 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1342) ~ (all_35_0_28 = all_23_0_22)
% 26.17/7.21 | (1343) ? [v0] : ( ~ (v0 = 0) & subset(all_23_0_22, all_0_7_7) = v0)
% 26.17/7.21 |
% 26.17/7.21 | Instantiating (1343) with all_99_0_292 yields:
% 26.17/7.21 | (1344) ~ (all_99_0_292 = 0) & subset(all_23_0_22, all_0_7_7) = all_99_0_292
% 26.17/7.21 |
% 26.17/7.21 | Applying alpha-rule on (1344) yields:
% 26.17/7.21 | (1345) ~ (all_99_0_292 = 0)
% 26.17/7.21 | (1346) subset(all_23_0_22, all_0_7_7) = all_99_0_292
% 26.17/7.21 |
% 26.17/7.21 | Instantiating formula (18) with all_23_0_22, all_0_7_7, 0, all_99_0_292 and discharging atoms subset(all_23_0_22, all_0_7_7) = all_99_0_292, subset(all_23_0_22, all_0_7_7) = 0, yields:
% 26.17/7.21 | (1347) all_99_0_292 = 0
% 26.17/7.21 |
% 26.17/7.21 | Equations (1347) can reduce 1345 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 |-Branch two:
% 26.17/7.21 | (1349) ~ (all_35_1_29 = all_23_1_23)
% 26.17/7.21 | (1350) ? [v0] : ( ~ (v0 = 0) & subset(all_23_1_23, all_0_8_8) = v0)
% 26.17/7.21 |
% 26.17/7.21 | Instantiating (1350) with all_95_0_293 yields:
% 26.17/7.21 | (1351) ~ (all_95_0_293 = 0) & subset(all_23_1_23, all_0_8_8) = all_95_0_293
% 26.17/7.21 |
% 26.17/7.21 | Applying alpha-rule on (1351) yields:
% 26.17/7.21 | (1352) ~ (all_95_0_293 = 0)
% 26.17/7.21 | (1353) subset(all_23_1_23, all_0_8_8) = all_95_0_293
% 26.17/7.21 |
% 26.17/7.21 | Instantiating formula (18) with all_23_1_23, all_0_8_8, 0, all_95_0_293 and discharging atoms subset(all_23_1_23, all_0_8_8) = all_95_0_293, subset(all_23_1_23, all_0_8_8) = 0, yields:
% 26.17/7.21 | (1354) all_95_0_293 = 0
% 26.17/7.21 |
% 26.17/7.21 | Equations (1354) can reduce 1352 to:
% 26.17/7.21 | (892) $false
% 26.17/7.21 |
% 26.17/7.21 |-The branch is then unsatisfiable
% 26.17/7.21 % SZS output end Proof for theBenchmark
% 26.17/7.21
% 26.17/7.21 6628ms
%------------------------------------------------------------------------------