TSTP Solution File: SEU179+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n010.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 08:47:22 EDT 2022
% Result : Theorem 5.42s 1.99s
% Output : Proof 7.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU179+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n010.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 19 03:17:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.59/0.60 ____ _
% 0.59/0.60 ___ / __ \_____(_)___ ________ __________
% 0.59/0.60 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.60 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.60 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.60
% 0.59/0.60 A Theorem Prover for First-Order Logic
% 0.59/0.61 (ePrincess v.1.0)
% 0.59/0.61
% 0.59/0.61 (c) Philipp Rümmer, 2009-2015
% 0.59/0.61 (c) Peter Backeman, 2014-2015
% 0.59/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.61 Bug reports to peter@backeman.se
% 0.59/0.61
% 0.59/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.61
% 0.59/0.61 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.68/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.52/0.95 Prover 0: Preprocessing ...
% 1.92/1.16 Prover 0: Warning: ignoring some quantifiers
% 2.18/1.20 Prover 0: Constructing countermodel ...
% 3.67/1.62 Prover 0: gave up
% 3.67/1.62 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 3.67/1.65 Prover 1: Preprocessing ...
% 4.00/1.75 Prover 1: Warning: ignoring some quantifiers
% 4.00/1.75 Prover 1: Constructing countermodel ...
% 5.42/1.99 Prover 1: proved (374ms)
% 5.42/1.99
% 5.42/1.99 No countermodel exists, formula is valid
% 5.42/1.99 % SZS status Theorem for theBenchmark
% 5.42/1.99
% 5.42/1.99 Generating proof ... Warning: ignoring some quantifiers
% 7.32/2.47 found it (size 51)
% 7.32/2.47
% 7.32/2.47 % SZS output start Proof for theBenchmark
% 7.32/2.47 Assumed formulas after preprocessing and simplification:
% 7.32/2.47 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ( ~ (v9 = 0) & empty(v11) = 0 & empty(v10) = 0 & empty(v8) = v9 & empty(empty_set) = 0 & relation_rng(v3) = v6 & relation_rng(v0) = v2 & relation_dom(v3) = v4 & relation_dom(v0) = v1 & relation(v11) = 0 & relation(v3) = 0 & relation(v0) = 0 & subset(v2, v6) = v7 & subset(v1, v4) = v5 & subset(v0, v3) = 0 & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = 0 | ~ (relation_rng(v12) = v13) | ~ (ordered_pair(v16, v14) = v17) | ~ (in(v17, v12) = 0) | ~ (in(v14, v13) = v15) | ? [v18] : ( ~ (v18 = 0) & relation(v12) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v15 = 0 | ~ (relation_dom(v12) = v13) | ~ (ordered_pair(v14, v16) = v17) | ~ (in(v17, v12) = 0) | ~ (in(v14, v13) = v15) | ? [v18] : ( ~ (v18 = 0) & relation(v12) = v18)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (powerset(v14) = v15) | ~ (element(v13, v15) = 0) | ~ (element(v12, v14) = v16) | ? [v17] : ( ~ (v17 = 0) & in(v12, v13) = v17)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (singleton(v12) = v15) | ~ (unordered_pair(v14, v15) = v16) | ~ (unordered_pair(v12, v13) = v14) | ordered_pair(v12, v13) = v16) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (powerset(v13) = v14) | ~ (element(v12, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & subset(v12, v13) = v16)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (element(v15, v14) = v13) | ~ (element(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (ordered_pair(v15, v14) = v13) | ~ (ordered_pair(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (subset(v15, v14) = v13) | ~ (subset(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (unordered_pair(v15, v14) = v13) | ~ (unordered_pair(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : (v13 = v12 | ~ (in(v15, v14) = v13) | ~ (in(v15, v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (powerset(v14) = v15) | ~ (element(v13, v15) = 0) | ~ (in(v12, v13) = 0) | ? [v16] : ( ~ (v16 = 0) & empty(v14) = v16)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (element(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & in(v12, v13) = v15)) & ! [v12] : ! [v13] : ! [v14] : (v14 = 0 | ~ (subset(v12, v13) = v14) | ? [v15] : ? [v16] : ( ~ (v16 = 0) & in(v15, v13) = v16 & in(v15, v12) = 0)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (powerset(v14) = v13) | ~ (powerset(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (empty(v14) = v13) | ~ (empty(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (singleton(v14) = v13) | ~ (singleton(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (relation_rng(v14) = v13) | ~ (relation_rng(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (relation_dom(v14) = v13) | ~ (relation_dom(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : (v13 = v12 | ~ (relation(v14) = v13) | ~ (relation(v14) = v12)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (powerset(v13) = v14) | ~ (element(v12, v14) = 0) | subset(v12, v13) = 0) & ! [v12] : ! [v13] : ! [v14] : ( ~ (relation_rng(v12) = v13) | ~ (in(v14, v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & ordered_pair(v15, v14) = v16 & in(v16, v12) = 0) | ( ~ (v15 = 0) & relation(v12) = v15))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (relation_dom(v12) = v13) | ~ (in(v14, v13) = 0) | ? [v15] : ? [v16] : ? [v17] : ((v17 = 0 & ordered_pair(v14, v15) = v16 & in(v16, v12) = 0) | ( ~ (v15 = 0) & relation(v12) = v15))) & ! [v12] : ! [v13] : ! [v14] : ( ~ (ordered_pair(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & empty(v14) = v15)) & ! [v12] : ! [v13] : ! [v14] : ( ~ (subset(v12, v13) = 0) | ~ (in(v14, v12) = 0) | in(v14, v13) = 0) & ! [v12] : ! [v13] : ! [v14] : ( ~ (unordered_pair(v12, v13) = v14) | unordered_pair(v13, v12) = v14) & ! [v12] : ! [v13] : ! [v14] : ( ~ (unordered_pair(v12, v13) = v14) | ? [v15] : ( ~ (v15 = 0) & empty(v14) = v15)) & ? [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (relation_rng(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (( ~ (v15 = 0) & relation(v13) = v15) | (in(v15, v12) = v16 & ( ~ (v16 = 0) | ! [v20] : ! [v21] : ( ~ (ordered_pair(v20, v15) = v21) | ~ (in(v21, v13) = 0))) & (v16 = 0 | (v19 = 0 & ordered_pair(v17, v15) = v18 & in(v18, v13) = 0))))) & ? [v12] : ! [v13] : ! [v14] : (v14 = v12 | ~ (relation_dom(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : (( ~ (v15 = 0) & relation(v13) = v15) | (in(v15, v12) = v16 & ( ~ (v16 = 0) | ! [v20] : ! [v21] : ( ~ (ordered_pair(v15, v20) = v21) | ~ (in(v21, v13) = 0))) & (v16 = 0 | (v19 = 0 & ordered_pair(v15, v17) = v18 & in(v18, v13) = 0))))) & ! [v12] : ! [v13] : (v13 = v12 | ~ (empty(v13) = 0) | ~ (empty(v12) = 0)) & ! [v12] : ! [v13] : (v13 = 0 | ~ (subset(v12, v12) = v13)) & ! [v12] : ! [v13] : ( ~ (powerset(v12) = v13) | ? [v14] : ? [v15] : ? [v16] : ((v15 = 0 & ~ (v16 = 0) & empty(v14) = v16 & element(v14, v13) = 0) | (v14 = 0 & empty(v12) = 0))) & ! [v12] : ! [v13] : ( ~ (powerset(v12) = v13) | ? [v14] : ( ~ (v14 = 0) & empty(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (powerset(v12) = v13) | ? [v14] : (empty(v14) = 0 & element(v14, v13) = 0)) & ! [v12] : ! [v13] : ( ~ (element(v12, v13) = 0) | ? [v14] : ? [v15] : (empty(v13) = v14 & in(v12, v13) = v15 & (v15 = 0 | v14 = 0))) & ! [v12] : ! [v13] : ( ~ (singleton(v12) = v13) | ? [v14] : ( ~ (v14 = 0) & empty(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (in(v12, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & empty(v13) = v14)) & ! [v12] : ! [v13] : ( ~ (in(v12, v13) = 0) | ? [v14] : ( ~ (v14 = 0) & in(v13, v12) = v14)) & ! [v12] : (v12 = empty_set | ~ (empty(v12) = 0)) & ? [v12] : ? [v13] : element(v13, v12) = 0 & ( ~ (v7 = 0) | ~ (v5 = 0)))
% 7.75/2.51 | 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, all_0_11_11 yields:
% 7.75/2.51 | (1) ~ (all_0_2_2 = 0) & empty(all_0_0_0) = 0 & empty(all_0_1_1) = 0 & empty(all_0_3_3) = all_0_2_2 & empty(empty_set) = 0 & relation_rng(all_0_8_8) = all_0_5_5 & relation_rng(all_0_11_11) = all_0_9_9 & relation_dom(all_0_8_8) = all_0_7_7 & relation_dom(all_0_11_11) = all_0_10_10 & relation(all_0_0_0) = 0 & relation(all_0_8_8) = 0 & relation(all_0_11_11) = 0 & subset(all_0_9_9, all_0_5_5) = all_0_4_4 & subset(all_0_10_10, all_0_7_7) = all_0_6_6 & subset(all_0_11_11, all_0_8_8) = 0 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_rng(v0) = v1) | ~ (ordered_pair(v4, v2) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v4) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3)) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_rng(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0))))) & ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0))))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & empty(v2) = v4 & element(v2, v1) = 0) | (v2 = 0 & empty(v0) = 0))) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0)) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2)) & ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2)) & ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0)) & ? [v0] : ? [v1] : element(v1, v0) = 0 & ( ~ (all_0_4_4 = 0) | ~ (all_0_6_6 = 0))
% 7.75/2.52 |
% 7.75/2.52 | Applying alpha-rule on (1) yields:
% 7.75/2.52 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (singleton(v0) = v3) | ~ (unordered_pair(v2, v3) = v4) | ~ (unordered_pair(v0, v1) = v2) | ordered_pair(v0, v1) = v4)
% 7.75/2.52 | (3) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 7.75/2.52 | (4) ? [v0] : ? [v1] : element(v1, v0) = 0
% 7.75/2.52 | (5) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | unordered_pair(v1, v0) = v2)
% 7.75/2.52 | (6) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 7.75/2.52 | (7) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 7.75/2.52 | (8) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (unordered_pair(v3, v2) = v1) | ~ (unordered_pair(v3, v2) = v0))
% 7.75/2.52 | (9) ! [v0] : ! [v1] : ( ~ (singleton(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 7.75/2.52 | (10) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 7.75/2.52 | (11) relation(all_0_11_11) = 0
% 7.75/2.52 | (12) empty(empty_set) = 0
% 7.75/2.52 | (13) relation_rng(all_0_11_11) = all_0_9_9
% 7.75/2.52 | (14) subset(all_0_10_10, all_0_7_7) = all_0_6_6
% 7.75/2.52 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 7.75/2.52 | (16) ! [v0] : ! [v1] : ! [v2] : ( ~ (ordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 7.75/2.52 | (17) relation_rng(all_0_8_8) = all_0_5_5
% 7.75/2.52 | (18) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 7.75/2.52 | (19) relation_dom(all_0_11_11) = all_0_10_10
% 7.75/2.52 | (20) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_dom(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v2, v3) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 7.75/2.53 | (21) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ((v3 = 0 & ~ (v4 = 0) & empty(v2) = v4 & element(v2, v1) = 0) | (v2 = 0 & empty(v0) = 0)))
% 7.75/2.53 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 7.75/2.53 | (23) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_rng(v0) = v1) | ~ (ordered_pair(v4, v2) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 7.75/2.53 | (24) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 7.75/2.53 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 7.75/2.53 | (26) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 7.75/2.53 | (27) relation(all_0_0_0) = 0
% 7.75/2.53 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 7.75/2.53 | (29) subset(all_0_9_9, all_0_5_5) = all_0_4_4
% 7.75/2.53 | (30) ! [v0] : ! [v1] : ( ~ (powerset(v0) = v1) | ? [v2] : (empty(v2) = 0 & element(v2, v1) = 0))
% 7.75/2.53 | (31) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 7.75/2.53 | (32) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (ordered_pair(v3, v2) = v1) | ~ (ordered_pair(v3, v2) = v0))
% 7.75/2.53 | (33) ~ (all_0_4_4 = 0) | ~ (all_0_6_6 = 0)
% 7.75/2.53 | (34) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 7.75/2.53 | (35) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_rng(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v8, v3) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v5, v3) = v6 & in(v6, v1) = 0)))))
% 7.75/2.53 | (36) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 7.75/2.53 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0))
% 7.75/2.53 | (38) subset(all_0_11_11, all_0_8_8) = 0
% 7.75/2.53 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 7.75/2.53 | (40) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 7.75/2.53 | (41) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 7.75/2.53 | (42) empty(all_0_1_1) = 0
% 7.75/2.53 | (43) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (singleton(v2) = v1) | ~ (singleton(v2) = v0))
% 7.75/2.53 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v3 = 0 | ~ (relation_dom(v0) = v1) | ~ (ordered_pair(v2, v4) = v5) | ~ (in(v5, v0) = 0) | ~ (in(v2, v1) = v3) | ? [v6] : ( ~ (v6 = 0) & relation(v0) = v6))
% 7.75/2.53 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 7.75/2.53 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 7.75/2.53 | (47) relation(all_0_8_8) = 0
% 7.75/2.53 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = 0 | ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (element(v0, v2) = v4) | ? [v5] : ( ~ (v5 = 0) & in(v0, v1) = v5))
% 7.75/2.53 | (49) empty(all_0_3_3) = all_0_2_2
% 7.75/2.53 | (50) ? [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (relation_dom(v1) = v2) | ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : (( ~ (v3 = 0) & relation(v1) = v3) | (in(v3, v0) = v4 & ( ~ (v4 = 0) | ! [v8] : ! [v9] : ( ~ (ordered_pair(v3, v8) = v9) | ~ (in(v9, v1) = 0))) & (v4 = 0 | (v7 = 0 & ordered_pair(v3, v5) = v6 & in(v6, v1) = 0)))))
% 7.75/2.54 | (51) ~ (all_0_2_2 = 0)
% 7.75/2.54 | (52) empty(all_0_0_0) = 0
% 7.75/2.54 | (53) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_rng(v0) = v1) | ~ (in(v2, v1) = 0) | ? [v3] : ? [v4] : ? [v5] : ((v5 = 0 & ordered_pair(v3, v2) = v4 & in(v4, v0) = 0) | ( ~ (v3 = 0) & relation(v0) = v3)))
% 7.75/2.54 | (54) relation_dom(all_0_8_8) = all_0_7_7
% 7.75/2.54 | (55) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 7.75/2.54 | (56) ! [v0] : ! [v1] : ! [v2] : ( ~ (unordered_pair(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & empty(v2) = v3))
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (40) with all_0_4_4, all_0_5_5, all_0_9_9 and discharging atoms subset(all_0_9_9, all_0_5_5) = all_0_4_4, yields:
% 7.75/2.54 | (57) all_0_4_4 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_5_5) = v1 & in(v0, all_0_9_9) = 0)
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (40) with all_0_6_6, all_0_7_7, all_0_10_10 and discharging atoms subset(all_0_10_10, all_0_7_7) = all_0_6_6, yields:
% 7.75/2.54 | (58) all_0_6_6 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_7_7) = v1 & in(v0, all_0_10_10) = 0)
% 7.75/2.54 |
% 7.75/2.54 +-Applying beta-rule and splitting (33), into two cases.
% 7.75/2.54 |-Branch one:
% 7.75/2.54 | (59) ~ (all_0_4_4 = 0)
% 7.75/2.54 |
% 7.75/2.54 +-Applying beta-rule and splitting (57), into two cases.
% 7.75/2.54 |-Branch one:
% 7.75/2.54 | (60) all_0_4_4 = 0
% 7.75/2.54 |
% 7.75/2.54 | Equations (60) can reduce 59 to:
% 7.75/2.54 | (61) $false
% 7.75/2.54 |
% 7.75/2.54 |-The branch is then unsatisfiable
% 7.75/2.54 |-Branch two:
% 7.75/2.54 | (59) ~ (all_0_4_4 = 0)
% 7.75/2.54 | (63) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_5_5) = v1 & in(v0, all_0_9_9) = 0)
% 7.75/2.54 |
% 7.75/2.54 | Instantiating (63) with all_34_0_18, all_34_1_19 yields:
% 7.75/2.54 | (64) ~ (all_34_0_18 = 0) & in(all_34_1_19, all_0_5_5) = all_34_0_18 & in(all_34_1_19, all_0_9_9) = 0
% 7.75/2.54 |
% 7.75/2.54 | Applying alpha-rule on (64) yields:
% 7.75/2.54 | (65) ~ (all_34_0_18 = 0)
% 7.75/2.54 | (66) in(all_34_1_19, all_0_5_5) = all_34_0_18
% 7.75/2.54 | (67) in(all_34_1_19, all_0_9_9) = 0
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (53) with all_34_1_19, all_0_9_9, all_0_11_11 and discharging atoms relation_rng(all_0_11_11) = all_0_9_9, in(all_34_1_19, all_0_9_9) = 0, yields:
% 7.75/2.54 | (68) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ordered_pair(v0, all_34_1_19) = v1 & in(v1, all_0_11_11) = 0) | ( ~ (v0 = 0) & relation(all_0_11_11) = v0))
% 7.75/2.54 |
% 7.75/2.54 | Instantiating (68) with all_47_0_21, all_47_1_22, all_47_2_23 yields:
% 7.75/2.54 | (69) (all_47_0_21 = 0 & ordered_pair(all_47_2_23, all_34_1_19) = all_47_1_22 & in(all_47_1_22, all_0_11_11) = 0) | ( ~ (all_47_2_23 = 0) & relation(all_0_11_11) = all_47_2_23)
% 7.75/2.54 |
% 7.75/2.54 +-Applying beta-rule and splitting (69), into two cases.
% 7.75/2.54 |-Branch one:
% 7.75/2.54 | (70) all_47_0_21 = 0 & ordered_pair(all_47_2_23, all_34_1_19) = all_47_1_22 & in(all_47_1_22, all_0_11_11) = 0
% 7.75/2.54 |
% 7.75/2.54 | Applying alpha-rule on (70) yields:
% 7.75/2.54 | (71) all_47_0_21 = 0
% 7.75/2.54 | (72) ordered_pair(all_47_2_23, all_34_1_19) = all_47_1_22
% 7.75/2.54 | (73) in(all_47_1_22, all_0_11_11) = 0
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (41) with all_47_1_22, all_0_8_8, all_0_11_11 and discharging atoms subset(all_0_11_11, all_0_8_8) = 0, in(all_47_1_22, all_0_11_11) = 0, yields:
% 7.75/2.54 | (74) in(all_47_1_22, all_0_8_8) = 0
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (23) with all_47_1_22, all_47_2_23, all_34_0_18, all_34_1_19, all_0_5_5, all_0_8_8 and discharging atoms relation_rng(all_0_8_8) = all_0_5_5, ordered_pair(all_47_2_23, all_34_1_19) = all_47_1_22, in(all_47_1_22, all_0_8_8) = 0, in(all_34_1_19, all_0_5_5) = all_34_0_18, yields:
% 7.75/2.54 | (75) all_34_0_18 = 0 | ? [v0] : ( ~ (v0 = 0) & relation(all_0_8_8) = v0)
% 7.75/2.54 |
% 7.75/2.54 +-Applying beta-rule and splitting (75), into two cases.
% 7.75/2.54 |-Branch one:
% 7.75/2.54 | (76) all_34_0_18 = 0
% 7.75/2.54 |
% 7.75/2.54 | Equations (76) can reduce 65 to:
% 7.75/2.54 | (61) $false
% 7.75/2.54 |
% 7.75/2.54 |-The branch is then unsatisfiable
% 7.75/2.54 |-Branch two:
% 7.75/2.54 | (65) ~ (all_34_0_18 = 0)
% 7.75/2.54 | (79) ? [v0] : ( ~ (v0 = 0) & relation(all_0_8_8) = v0)
% 7.75/2.54 |
% 7.75/2.54 | Instantiating (79) with all_79_0_30 yields:
% 7.75/2.54 | (80) ~ (all_79_0_30 = 0) & relation(all_0_8_8) = all_79_0_30
% 7.75/2.54 |
% 7.75/2.54 | Applying alpha-rule on (80) yields:
% 7.75/2.54 | (81) ~ (all_79_0_30 = 0)
% 7.75/2.54 | (82) relation(all_0_8_8) = all_79_0_30
% 7.75/2.54 |
% 7.75/2.54 | Instantiating formula (46) with all_0_8_8, all_79_0_30, 0 and discharging atoms relation(all_0_8_8) = all_79_0_30, relation(all_0_8_8) = 0, yields:
% 7.75/2.54 | (83) all_79_0_30 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (83) can reduce 81 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 |-Branch two:
% 7.75/2.55 | (85) ~ (all_47_2_23 = 0) & relation(all_0_11_11) = all_47_2_23
% 7.75/2.55 |
% 7.75/2.55 | Applying alpha-rule on (85) yields:
% 7.75/2.55 | (86) ~ (all_47_2_23 = 0)
% 7.75/2.55 | (87) relation(all_0_11_11) = all_47_2_23
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (46) with all_0_11_11, all_47_2_23, 0 and discharging atoms relation(all_0_11_11) = all_47_2_23, relation(all_0_11_11) = 0, yields:
% 7.75/2.55 | (88) all_47_2_23 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (88) can reduce 86 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 |-Branch two:
% 7.75/2.55 | (60) all_0_4_4 = 0
% 7.75/2.55 | (91) ~ (all_0_6_6 = 0)
% 7.75/2.55 |
% 7.75/2.55 +-Applying beta-rule and splitting (58), into two cases.
% 7.75/2.55 |-Branch one:
% 7.75/2.55 | (92) all_0_6_6 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (92) can reduce 91 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 |-Branch two:
% 7.75/2.55 | (91) ~ (all_0_6_6 = 0)
% 7.75/2.55 | (95) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_7_7) = v1 & in(v0, all_0_10_10) = 0)
% 7.75/2.55 |
% 7.75/2.55 | Instantiating (95) with all_35_0_31, all_35_1_32 yields:
% 7.75/2.55 | (96) ~ (all_35_0_31 = 0) & in(all_35_1_32, all_0_7_7) = all_35_0_31 & in(all_35_1_32, all_0_10_10) = 0
% 7.75/2.55 |
% 7.75/2.55 | Applying alpha-rule on (96) yields:
% 7.75/2.55 | (97) ~ (all_35_0_31 = 0)
% 7.75/2.55 | (98) in(all_35_1_32, all_0_7_7) = all_35_0_31
% 7.75/2.55 | (99) in(all_35_1_32, all_0_10_10) = 0
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (20) with all_35_1_32, all_0_10_10, all_0_11_11 and discharging atoms relation_dom(all_0_11_11) = all_0_10_10, in(all_35_1_32, all_0_10_10) = 0, yields:
% 7.75/2.55 | (100) ? [v0] : ? [v1] : ? [v2] : ((v2 = 0 & ordered_pair(all_35_1_32, v0) = v1 & in(v1, all_0_11_11) = 0) | ( ~ (v0 = 0) & relation(all_0_11_11) = v0))
% 7.75/2.55 |
% 7.75/2.55 | Instantiating (100) with all_50_0_35, all_50_1_36, all_50_2_37 yields:
% 7.75/2.55 | (101) (all_50_0_35 = 0 & ordered_pair(all_35_1_32, all_50_2_37) = all_50_1_36 & in(all_50_1_36, all_0_11_11) = 0) | ( ~ (all_50_2_37 = 0) & relation(all_0_11_11) = all_50_2_37)
% 7.75/2.55 |
% 7.75/2.55 +-Applying beta-rule and splitting (101), into two cases.
% 7.75/2.55 |-Branch one:
% 7.75/2.55 | (102) all_50_0_35 = 0 & ordered_pair(all_35_1_32, all_50_2_37) = all_50_1_36 & in(all_50_1_36, all_0_11_11) = 0
% 7.75/2.55 |
% 7.75/2.55 | Applying alpha-rule on (102) yields:
% 7.75/2.55 | (103) all_50_0_35 = 0
% 7.75/2.55 | (104) ordered_pair(all_35_1_32, all_50_2_37) = all_50_1_36
% 7.75/2.55 | (105) in(all_50_1_36, all_0_11_11) = 0
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (41) with all_50_1_36, all_0_8_8, all_0_11_11 and discharging atoms subset(all_0_11_11, all_0_8_8) = 0, in(all_50_1_36, all_0_11_11) = 0, yields:
% 7.75/2.55 | (106) in(all_50_1_36, all_0_8_8) = 0
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (44) with all_50_1_36, all_50_2_37, all_35_0_31, all_35_1_32, all_0_7_7, all_0_8_8 and discharging atoms relation_dom(all_0_8_8) = all_0_7_7, ordered_pair(all_35_1_32, all_50_2_37) = all_50_1_36, in(all_50_1_36, all_0_8_8) = 0, in(all_35_1_32, all_0_7_7) = all_35_0_31, yields:
% 7.75/2.55 | (107) all_35_0_31 = 0 | ? [v0] : ( ~ (v0 = 0) & relation(all_0_8_8) = v0)
% 7.75/2.55 |
% 7.75/2.55 +-Applying beta-rule and splitting (107), into two cases.
% 7.75/2.55 |-Branch one:
% 7.75/2.55 | (108) all_35_0_31 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (108) can reduce 97 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 |-Branch two:
% 7.75/2.55 | (97) ~ (all_35_0_31 = 0)
% 7.75/2.55 | (79) ? [v0] : ( ~ (v0 = 0) & relation(all_0_8_8) = v0)
% 7.75/2.55 |
% 7.75/2.55 | Instantiating (79) with all_80_0_43 yields:
% 7.75/2.55 | (112) ~ (all_80_0_43 = 0) & relation(all_0_8_8) = all_80_0_43
% 7.75/2.55 |
% 7.75/2.55 | Applying alpha-rule on (112) yields:
% 7.75/2.55 | (113) ~ (all_80_0_43 = 0)
% 7.75/2.55 | (114) relation(all_0_8_8) = all_80_0_43
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (46) with all_0_8_8, all_80_0_43, 0 and discharging atoms relation(all_0_8_8) = all_80_0_43, relation(all_0_8_8) = 0, yields:
% 7.75/2.55 | (115) all_80_0_43 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (115) can reduce 113 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 |-Branch two:
% 7.75/2.55 | (117) ~ (all_50_2_37 = 0) & relation(all_0_11_11) = all_50_2_37
% 7.75/2.55 |
% 7.75/2.55 | Applying alpha-rule on (117) yields:
% 7.75/2.55 | (118) ~ (all_50_2_37 = 0)
% 7.75/2.55 | (119) relation(all_0_11_11) = all_50_2_37
% 7.75/2.55 |
% 7.75/2.55 | Instantiating formula (46) with all_0_11_11, all_50_2_37, 0 and discharging atoms relation(all_0_11_11) = all_50_2_37, relation(all_0_11_11) = 0, yields:
% 7.75/2.55 | (120) all_50_2_37 = 0
% 7.75/2.55 |
% 7.75/2.55 | Equations (120) can reduce 118 to:
% 7.75/2.55 | (61) $false
% 7.75/2.55 |
% 7.75/2.55 |-The branch is then unsatisfiable
% 7.75/2.55 % SZS output end Proof for theBenchmark
% 7.75/2.55
% 7.75/2.55 1928ms
%------------------------------------------------------------------------------