TSTP Solution File: SEU250+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n019.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 08:48:09 EDT 2022
% Result : Theorem 4.96s 1.94s
% Output : Proof 7.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU250+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.31 % Computer : n019.cluster.edu
% 0.13/0.31 % Model : x86_64 x86_64
% 0.13/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.31 % Memory : 8042.1875MB
% 0.13/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.31 % CPULimit : 300
% 0.13/0.31 % WCLimit : 600
% 0.13/0.31 % DateTime : Mon Jun 20 11:51:24 EDT 2022
% 0.13/0.32 % CPUTime :
% 0.59/0.57 ____ _
% 0.59/0.57 ___ / __ \_____(_)___ ________ __________
% 0.59/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.59/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.59/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.59/0.57
% 0.59/0.57 A Theorem Prover for First-Order Logic
% 0.59/0.57 (ePrincess v.1.0)
% 0.59/0.57
% 0.59/0.57 (c) Philipp Rümmer, 2009-2015
% 0.59/0.57 (c) Peter Backeman, 2014-2015
% 0.59/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.59/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.59/0.57 Bug reports to peter@backeman.se
% 0.59/0.57
% 0.59/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.59/0.57
% 0.59/0.57 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.63/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 1.51/0.92 Prover 0: Preprocessing ...
% 2.27/1.21 Prover 0: Warning: ignoring some quantifiers
% 2.36/1.24 Prover 0: Constructing countermodel ...
% 3.96/1.76 Prover 0: gave up
% 3.96/1.76 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 4.37/1.79 Prover 1: Preprocessing ...
% 4.57/1.87 Prover 1: Warning: ignoring some quantifiers
% 4.57/1.87 Prover 1: Constructing countermodel ...
% 4.96/1.94 Prover 1: proved (179ms)
% 4.96/1.94
% 4.96/1.94 No countermodel exists, formula is valid
% 4.96/1.94 % SZS status Theorem for theBenchmark
% 4.96/1.94
% 4.96/1.94 Generating proof ... Warning: ignoring some quantifiers
% 6.74/2.32 found it (size 52)
% 6.74/2.32
% 6.74/2.32 % SZS output start Proof for theBenchmark
% 6.74/2.32 Assumed formulas after preprocessing and simplification:
% 6.74/2.32 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ( ~ (v9 = 0) & relation_restriction(v1, v0) = v2 & relation_field(v2) = v3 & relation_field(v1) = v4 & subset(v3, v4) = v5 & subset(v3, v0) = v6 & one_to_one(v7) = 0 & relation(v12) = 0 & relation(v10) = 0 & relation(v7) = 0 & relation(v1) = 0 & function(v12) = 0 & function(v10) = 0 & function(v7) = 0 & empty(v11) = 0 & empty(v10) = 0 & empty(v8) = v9 & empty(empty_set) = 0 & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : (v17 = 0 | ~ (powerset(v15) = v16) | ~ (element(v14, v16) = 0) | ~ (element(v13, v15) = v17) | ? [v18] : ( ~ (v18 = 0) & in(v13, v14) = v18)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ! [v17] : ( ~ (relation_restriction(v15, v14) = v16) | ~ (relation_field(v16) = v17) | ~ (in(v13, v17) = 0) | ? [v18] : ? [v19] : ? [v20] : ? [v21] : (relation_field(v15) = v19 & relation(v15) = v18 & in(v13, v19) = v20 & in(v13, v14) = v21 & ( ~ (v18 = 0) | (v21 = 0 & v20 = 0)))) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v16 = 0 | ~ (powerset(v14) = v15) | ~ (element(v13, v15) = v16) | ? [v17] : ( ~ (v17 = 0) & subset(v13, v14) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (element(v16, v15) = v14) | ~ (element(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (cartesian_product2(v16, v15) = v14) | ~ (cartesian_product2(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (relation_restriction(v16, v15) = v14) | ~ (relation_restriction(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (subset(v16, v15) = v14) | ~ (subset(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (set_intersection2(v16, v15) = v14) | ~ (set_intersection2(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (set_union2(v16, v15) = v14) | ~ (set_union2(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : (v14 = v13 | ~ (in(v16, v15) = v14) | ~ (in(v16, v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (powerset(v15) = v16) | ~ (element(v14, v16) = 0) | ~ (in(v13, v14) = 0) | ? [v17] : ( ~ (v17 = 0) & empty(v15) = v17)) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (cartesian_product2(v14, v14) = v15) | ~ (set_intersection2(v13, v15) = v16) | ~ (relation(v13) = 0) | relation_restriction(v13, v14) = v16) & ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (relation_dom(v13) = v14) | ~ (relation_rng(v13) = v15) | ~ (set_union2(v14, v15) = v16) | ? [v17] : ? [v18] : (relation_field(v13) = v18 & relation(v13) = v17 & ( ~ (v17 = 0) | v18 = v16))) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (element(v13, v14) = v15) | ? [v16] : ( ~ (v16 = 0) & in(v13, v14) = v16)) & ! [v13] : ! [v14] : ! [v15] : (v15 = 0 | ~ (subset(v13, v14) = v15) | ? [v16] : ? [v17] : ( ~ (v17 = 0) & in(v16, v14) = v17 & in(v16, v13) = 0)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (powerset(v15) = v14) | ~ (powerset(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (relation_dom(v15) = v14) | ~ (relation_dom(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (relation_rng(v15) = v14) | ~ (relation_rng(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (relation_field(v15) = v14) | ~ (relation_field(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (one_to_one(v15) = v14) | ~ (one_to_one(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (relation(v15) = v14) | ~ (relation(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (function(v15) = v14) | ~ (function(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : (v14 = v13 | ~ (empty(v15) = v14) | ~ (empty(v15) = v13)) & ! [v13] : ! [v14] : ! [v15] : ( ~ (powerset(v14) = v15) | ~ (element(v13, v15) = 0) | subset(v13, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (relation_restriction(v13, v14) = v15) | ? [v16] : ? [v17] : (relation(v15) = v17 & relation(v13) = v16 & ( ~ (v16 = 0) | v17 = 0))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (subset(v13, v14) = 0) | ~ (in(v15, v13) = 0) | in(v15, v14) = 0) & ! [v13] : ! [v14] : ! [v15] : ( ~ (set_intersection2(v13, v14) = v15) | set_intersection2(v14, v13) = v15) & ! [v13] : ! [v14] : ! [v15] : ( ~ (set_union2(v14, v13) = v15) | ? [v16] : ? [v17] : (empty(v15) = v17 & empty(v13) = v16 & ( ~ (v17 = 0) | v16 = 0))) & ! [v13] : ! [v14] : ! [v15] : ( ~ (set_union2(v13, v14) = v15) | set_union2(v14, v13) = v15) & ! [v13] : ! [v14] : ! [v15] : ( ~ (set_union2(v13, v14) = v15) | ? [v16] : ? [v17] : (empty(v15) = v17 & empty(v13) = v16 & ( ~ (v17 = 0) | v16 = 0))) & ! [v13] : ! [v14] : (v14 = v13 | ~ (set_intersection2(v13, v13) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (set_union2(v13, v13) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (set_union2(v13, empty_set) = v14)) & ! [v13] : ! [v14] : (v14 = v13 | ~ (empty(v14) = 0) | ~ (empty(v13) = 0)) & ! [v13] : ! [v14] : (v14 = empty_set | ~ (set_intersection2(v13, empty_set) = v14)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (subset(v13, v13) = v14)) & ! [v13] : ! [v14] : (v14 = 0 | ~ (function(v13) = v14) | ? [v15] : ( ~ (v15 = 0) & empty(v13) = v15)) & ! [v13] : ! [v14] : ( ~ (element(v13, v14) = 0) | ? [v15] : ? [v16] : (empty(v14) = v15 & in(v13, v14) = v16 & (v16 = 0 | v15 = 0))) & ! [v13] : ! [v14] : ( ~ (one_to_one(v13) = v14) | ? [v15] : ? [v16] : ? [v17] : (relation(v13) = v15 & function(v13) = v17 & empty(v13) = v16 & ( ~ (v17 = 0) | ~ (v16 = 0) | ~ (v15 = 0) | v14 = 0))) & ! [v13] : ! [v14] : ( ~ (in(v13, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & empty(v14) = v15)) & ! [v13] : ! [v14] : ( ~ (in(v13, v14) = 0) | ? [v15] : ( ~ (v15 = 0) & in(v14, v13) = v15)) & ! [v13] : (v13 = empty_set | ~ (empty(v13) = 0)) & ? [v13] : ? [v14] : element(v14, v13) = 0 & ( ~ (v6 = 0) | ~ (v5 = 0)))
% 6.74/2.37 | 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, all_0_12_12 yields:
% 6.74/2.37 | (1) ~ (all_0_3_3 = 0) & relation_restriction(all_0_11_11, all_0_12_12) = all_0_10_10 & relation_field(all_0_10_10) = all_0_9_9 & relation_field(all_0_11_11) = all_0_8_8 & subset(all_0_9_9, all_0_8_8) = all_0_7_7 & subset(all_0_9_9, all_0_12_12) = all_0_6_6 & one_to_one(all_0_5_5) = 0 & relation(all_0_0_0) = 0 & relation(all_0_2_2) = 0 & relation(all_0_5_5) = 0 & relation(all_0_11_11) = 0 & function(all_0_0_0) = 0 & function(all_0_2_2) = 0 & function(all_0_5_5) = 0 & empty(all_0_1_1) = 0 & empty(all_0_2_2) = 0 & empty(all_0_4_4) = all_0_3_3 & empty(empty_set) = 0 & ! [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] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0)))) & ! [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 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(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] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(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] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v0) = v1) | ~ (relation_rng(v0) = v2) | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3))) & ! [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 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0))) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0)) & ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0))) & ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0))) & ! [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_6_6 = 0) | ~ (all_0_7_7 = 0))
% 7.13/2.38 |
% 7.13/2.38 | Applying alpha-rule on (1) yields:
% 7.13/2.38 | (2) subset(all_0_9_9, all_0_12_12) = all_0_6_6
% 7.13/2.38 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (powerset(v2) = v3) | ~ (element(v1, v3) = 0) | ~ (in(v0, v1) = 0) | ? [v4] : ( ~ (v4 = 0) & empty(v2) = v4))
% 7.13/2.38 | (4) relation_restriction(all_0_11_11, all_0_12_12) = all_0_10_10
% 7.13/2.38 | (5) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & empty(v1) = v2))
% 7.13/2.38 | (6) ! [v0] : ! [v1] : (v1 = 0 | ~ (function(v0) = v1) | ? [v2] : ( ~ (v2 = 0) & empty(v0) = v2))
% 7.13/2.38 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (cartesian_product2(v1, v1) = v2) | ~ (set_intersection2(v0, v2) = v3) | ~ (relation(v0) = 0) | relation_restriction(v0, v1) = v3)
% 7.13/2.38 | (8) relation_field(all_0_11_11) = all_0_8_8
% 7.13/2.38 | (9) ! [v0] : ! [v1] : ( ~ (one_to_one(v0) = v1) | ? [v2] : ? [v3] : ? [v4] : (relation(v0) = v2 & function(v0) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | ~ (v3 = 0) | ~ (v2 = 0) | v1 = 0)))
% 7.13/2.38 | (10) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (relation_dom(v0) = v1) | ~ (relation_rng(v0) = v2) | ~ (set_union2(v1, v2) = v3) | ? [v4] : ? [v5] : (relation_field(v0) = v5 & relation(v0) = v4 & ( ~ (v4 = 0) | v5 = v3)))
% 7.13/2.38 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (powerset(v2) = v1) | ~ (powerset(v2) = v0))
% 7.13/2.38 | (12) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v1, v0) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 7.13/2.38 | (13) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, v0) = v1))
% 7.13/2.38 | (14) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (relation_restriction(v3, v2) = v1) | ~ (relation_restriction(v3, v2) = v0))
% 7.13/2.38 | (15) ! [v0] : ! [v1] : ! [v2] : ( ~ (subset(v0, v1) = 0) | ~ (in(v2, v0) = 0) | in(v2, v1) = 0)
% 7.13/2.38 | (16) one_to_one(all_0_5_5) = 0
% 7.13/2.38 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (one_to_one(v2) = v1) | ~ (one_to_one(v2) = v0))
% 7.13/2.38 | (18) ! [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))
% 7.13/2.38 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (empty(v2) = v1) | ~ (empty(v2) = v0))
% 7.13/2.38 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_union2(v3, v2) = v1) | ~ (set_union2(v3, v2) = v0))
% 7.13/2.39 | (21) ! [v0] : ! [v1] : (v1 = 0 | ~ (subset(v0, v0) = v1))
% 7.13/2.39 | (22) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (subset(v0, v1) = v2) | ? [v3] : ? [v4] : ( ~ (v4 = 0) & in(v3, v1) = v4 & in(v3, v0) = 0))
% 7.13/2.39 | (23) ! [v0] : ! [v1] : ! [v2] : ( ~ (powerset(v1) = v2) | ~ (element(v0, v2) = 0) | subset(v0, v1) = 0)
% 7.13/2.39 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = 0 | ~ (powerset(v1) = v2) | ~ (element(v0, v2) = v3) | ? [v4] : ( ~ (v4 = 0) & subset(v0, v1) = v4))
% 7.13/2.39 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (cartesian_product2(v3, v2) = v1) | ~ (cartesian_product2(v3, v2) = v0))
% 7.13/2.39 | (26) empty(all_0_4_4) = all_0_3_3
% 7.13/2.39 | (27) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_intersection2(v0, v1) = v2) | set_intersection2(v1, v0) = v2)
% 7.13/2.39 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (function(v2) = v1) | ~ (function(v2) = v0))
% 7.13/2.39 | (29) function(all_0_2_2) = 0
% 7.13/2.39 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (subset(v3, v2) = v1) | ~ (subset(v3, v2) = v0))
% 7.13/2.39 | (31) ! [v0] : ! [v1] : ( ~ (in(v0, v1) = 0) | ? [v2] : ( ~ (v2 = 0) & in(v1, v0) = v2))
% 7.13/2.39 | (32) empty(all_0_1_1) = 0
% 7.13/2.39 | (33) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | set_union2(v1, v0) = v2)
% 7.13/2.39 | (34) relation(all_0_0_0) = 0
% 7.13/2.39 | (35) function(all_0_5_5) = 0
% 7.13/2.39 | (36) relation(all_0_5_5) = 0
% 7.13/2.39 | (37) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_field(v2) = v1) | ~ (relation_field(v2) = v0))
% 7.13/2.39 | (38) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_union2(v0, empty_set) = v1))
% 7.13/2.39 | (39) relation(all_0_11_11) = 0
% 7.13/2.39 | (40) ? [v0] : ? [v1] : element(v1, v0) = 0
% 7.13/2.39 | (41) empty(all_0_2_2) = 0
% 7.13/2.39 | (42) empty(empty_set) = 0
% 7.13/2.39 | (43) ! [v0] : ! [v1] : (v1 = v0 | ~ (empty(v1) = 0) | ~ (empty(v0) = 0))
% 7.13/2.39 | (44) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_rng(v2) = v1) | ~ (relation_rng(v2) = v0))
% 7.13/2.39 | (45) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (element(v3, v2) = v1) | ~ (element(v3, v2) = v0))
% 7.13/2.39 | (46) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (relation_restriction(v2, v1) = v3) | ~ (relation_field(v3) = v4) | ~ (in(v0, v4) = 0) | ? [v5] : ? [v6] : ? [v7] : ? [v8] : (relation_field(v2) = v6 & relation(v2) = v5 & in(v0, v6) = v7 & in(v0, v1) = v8 & ( ~ (v5 = 0) | (v8 = 0 & v7 = 0))))
% 7.13/2.39 | (47) ! [v0] : ! [v1] : ! [v2] : (v2 = 0 | ~ (element(v0, v1) = v2) | ? [v3] : ( ~ (v3 = 0) & in(v0, v1) = v3))
% 7.13/2.39 | (48) relation(all_0_2_2) = 0
% 7.13/2.39 | (49) ~ (all_0_6_6 = 0) | ~ (all_0_7_7 = 0)
% 7.13/2.39 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation_dom(v2) = v1) | ~ (relation_dom(v2) = v0))
% 7.13/2.39 | (51) subset(all_0_9_9, all_0_8_8) = all_0_7_7
% 7.13/2.39 | (52) relation_field(all_0_10_10) = all_0_9_9
% 7.13/2.39 | (53) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (relation(v2) = v1) | ~ (relation(v2) = v0))
% 7.13/2.39 | (54) ! [v0] : (v0 = empty_set | ~ (empty(v0) = 0))
% 7.13/2.39 | (55) ! [v0] : ! [v1] : ! [v2] : ( ~ (relation_restriction(v0, v1) = v2) | ? [v3] : ? [v4] : (relation(v2) = v4 & relation(v0) = v3 & ( ~ (v3 = 0) | v4 = 0)))
% 7.13/2.39 | (56) ! [v0] : ! [v1] : (v1 = empty_set | ~ (set_intersection2(v0, empty_set) = v1))
% 7.13/2.39 | (57) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (in(v3, v2) = v1) | ~ (in(v3, v2) = v0))
% 7.13/2.39 | (58) ~ (all_0_3_3 = 0)
% 7.13/2.39 | (59) ! [v0] : ! [v1] : ( ~ (element(v0, v1) = 0) | ? [v2] : ? [v3] : (empty(v1) = v2 & in(v0, v1) = v3 & (v3 = 0 | v2 = 0)))
% 7.13/2.39 | (60) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (set_intersection2(v3, v2) = v1) | ~ (set_intersection2(v3, v2) = v0))
% 7.13/2.39 | (61) function(all_0_0_0) = 0
% 7.13/2.40 | (62) ! [v0] : ! [v1] : (v1 = v0 | ~ (set_intersection2(v0, v0) = v1))
% 7.13/2.40 | (63) ! [v0] : ! [v1] : ! [v2] : ( ~ (set_union2(v0, v1) = v2) | ? [v3] : ? [v4] : (empty(v2) = v4 & empty(v0) = v3 & ( ~ (v4 = 0) | v3 = 0)))
% 7.13/2.40 |
% 7.13/2.40 | Instantiating formula (55) with all_0_10_10, all_0_12_12, all_0_11_11 and discharging atoms relation_restriction(all_0_11_11, all_0_12_12) = all_0_10_10, yields:
% 7.13/2.40 | (64) ? [v0] : ? [v1] : (relation(all_0_10_10) = v1 & relation(all_0_11_11) = v0 & ( ~ (v0 = 0) | v1 = 0))
% 7.13/2.40 |
% 7.13/2.40 | Instantiating formula (22) with all_0_7_7, all_0_8_8, all_0_9_9 and discharging atoms subset(all_0_9_9, all_0_8_8) = all_0_7_7, yields:
% 7.13/2.40 | (65) all_0_7_7 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_8_8) = v1 & in(v0, all_0_9_9) = 0)
% 7.13/2.40 |
% 7.13/2.40 | Instantiating formula (22) with all_0_6_6, all_0_12_12, all_0_9_9 and discharging atoms subset(all_0_9_9, all_0_12_12) = all_0_6_6, yields:
% 7.13/2.40 | (66) all_0_6_6 = 0 | ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_9_9) = 0 & in(v0, all_0_12_12) = v1)
% 7.13/2.40 |
% 7.13/2.40 | Instantiating (64) with all_16_0_18, all_16_1_19 yields:
% 7.13/2.40 | (67) relation(all_0_10_10) = all_16_0_18 & relation(all_0_11_11) = all_16_1_19 & ( ~ (all_16_1_19 = 0) | all_16_0_18 = 0)
% 7.13/2.40 |
% 7.13/2.40 | Applying alpha-rule on (67) yields:
% 7.13/2.40 | (68) relation(all_0_10_10) = all_16_0_18
% 7.13/2.40 | (69) relation(all_0_11_11) = all_16_1_19
% 7.13/2.40 | (70) ~ (all_16_1_19 = 0) | all_16_0_18 = 0
% 7.13/2.40 |
% 7.13/2.40 | Instantiating formula (53) with all_0_11_11, all_16_1_19, 0 and discharging atoms relation(all_0_11_11) = all_16_1_19, relation(all_0_11_11) = 0, yields:
% 7.24/2.40 | (71) all_16_1_19 = 0
% 7.24/2.40 |
% 7.24/2.40 | From (71) and (69) follows:
% 7.24/2.40 | (39) relation(all_0_11_11) = 0
% 7.24/2.40 |
% 7.24/2.40 +-Applying beta-rule and splitting (49), into two cases.
% 7.24/2.40 |-Branch one:
% 7.24/2.40 | (73) ~ (all_0_6_6 = 0)
% 7.24/2.40 |
% 7.24/2.40 +-Applying beta-rule and splitting (66), into two cases.
% 7.24/2.40 |-Branch one:
% 7.24/2.40 | (74) all_0_6_6 = 0
% 7.24/2.40 |
% 7.24/2.40 | Equations (74) can reduce 73 to:
% 7.24/2.40 | (75) $false
% 7.24/2.40 |
% 7.24/2.40 |-The branch is then unsatisfiable
% 7.24/2.40 |-Branch two:
% 7.24/2.40 | (73) ~ (all_0_6_6 = 0)
% 7.24/2.40 | (77) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_9_9) = 0 & in(v0, all_0_12_12) = v1)
% 7.24/2.40 |
% 7.24/2.40 | Instantiating (77) with all_61_0_22, all_61_1_23 yields:
% 7.24/2.40 | (78) ~ (all_61_0_22 = 0) & in(all_61_1_23, all_0_9_9) = 0 & in(all_61_1_23, all_0_12_12) = all_61_0_22
% 7.24/2.40 |
% 7.24/2.40 | Applying alpha-rule on (78) yields:
% 7.24/2.40 | (79) ~ (all_61_0_22 = 0)
% 7.24/2.40 | (80) in(all_61_1_23, all_0_9_9) = 0
% 7.24/2.40 | (81) in(all_61_1_23, all_0_12_12) = all_61_0_22
% 7.24/2.40 |
% 7.24/2.40 | Instantiating formula (46) with all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_61_1_23 and discharging atoms relation_restriction(all_0_11_11, all_0_12_12) = all_0_10_10, relation_field(all_0_10_10) = all_0_9_9, in(all_61_1_23, all_0_9_9) = 0, yields:
% 7.24/2.40 | (82) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_field(all_0_11_11) = v1 & relation(all_0_11_11) = v0 & in(all_61_1_23, v1) = v2 & in(all_61_1_23, all_0_12_12) = v3 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 7.24/2.40 |
% 7.24/2.40 | Instantiating (82) with all_76_0_26, all_76_1_27, all_76_2_28, all_76_3_29 yields:
% 7.24/2.40 | (83) relation_field(all_0_11_11) = all_76_2_28 & relation(all_0_11_11) = all_76_3_29 & in(all_61_1_23, all_76_2_28) = all_76_1_27 & in(all_61_1_23, all_0_12_12) = all_76_0_26 & ( ~ (all_76_3_29 = 0) | (all_76_0_26 = 0 & all_76_1_27 = 0))
% 7.24/2.40 |
% 7.24/2.40 | Applying alpha-rule on (83) yields:
% 7.24/2.40 | (84) in(all_61_1_23, all_0_12_12) = all_76_0_26
% 7.24/2.40 | (85) ~ (all_76_3_29 = 0) | (all_76_0_26 = 0 & all_76_1_27 = 0)
% 7.24/2.41 | (86) relation_field(all_0_11_11) = all_76_2_28
% 7.24/2.41 | (87) in(all_61_1_23, all_76_2_28) = all_76_1_27
% 7.24/2.41 | (88) relation(all_0_11_11) = all_76_3_29
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (53) with all_0_11_11, all_76_3_29, 0 and discharging atoms relation(all_0_11_11) = all_76_3_29, relation(all_0_11_11) = 0, yields:
% 7.24/2.41 | (89) all_76_3_29 = 0
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (57) with all_61_1_23, all_0_12_12, all_76_0_26, all_61_0_22 and discharging atoms in(all_61_1_23, all_0_12_12) = all_76_0_26, in(all_61_1_23, all_0_12_12) = all_61_0_22, yields:
% 7.24/2.41 | (90) all_76_0_26 = all_61_0_22
% 7.24/2.41 |
% 7.24/2.41 +-Applying beta-rule and splitting (85), into two cases.
% 7.24/2.41 |-Branch one:
% 7.24/2.41 | (91) ~ (all_76_3_29 = 0)
% 7.24/2.41 |
% 7.24/2.41 | Equations (89) can reduce 91 to:
% 7.24/2.41 | (75) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 |-Branch two:
% 7.24/2.41 | (89) all_76_3_29 = 0
% 7.24/2.41 | (94) all_76_0_26 = 0 & all_76_1_27 = 0
% 7.24/2.41 |
% 7.24/2.41 | Applying alpha-rule on (94) yields:
% 7.24/2.41 | (95) all_76_0_26 = 0
% 7.24/2.41 | (96) all_76_1_27 = 0
% 7.24/2.41 |
% 7.24/2.41 | Combining equations (95,90) yields a new equation:
% 7.24/2.41 | (97) all_61_0_22 = 0
% 7.24/2.41 |
% 7.24/2.41 | Equations (97) can reduce 79 to:
% 7.24/2.41 | (75) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 |-Branch two:
% 7.24/2.41 | (74) all_0_6_6 = 0
% 7.24/2.41 | (100) ~ (all_0_7_7 = 0)
% 7.24/2.41 |
% 7.24/2.41 +-Applying beta-rule and splitting (65), into two cases.
% 7.24/2.41 |-Branch one:
% 7.24/2.41 | (101) all_0_7_7 = 0
% 7.24/2.41 |
% 7.24/2.41 | Equations (101) can reduce 100 to:
% 7.24/2.41 | (75) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 |-Branch two:
% 7.24/2.41 | (100) ~ (all_0_7_7 = 0)
% 7.24/2.41 | (104) ? [v0] : ? [v1] : ( ~ (v1 = 0) & in(v0, all_0_8_8) = v1 & in(v0, all_0_9_9) = 0)
% 7.24/2.41 |
% 7.24/2.41 | Instantiating (104) with all_61_0_30, all_61_1_31 yields:
% 7.24/2.41 | (105) ~ (all_61_0_30 = 0) & in(all_61_1_31, all_0_8_8) = all_61_0_30 & in(all_61_1_31, all_0_9_9) = 0
% 7.24/2.41 |
% 7.24/2.41 | Applying alpha-rule on (105) yields:
% 7.24/2.41 | (106) ~ (all_61_0_30 = 0)
% 7.24/2.41 | (107) in(all_61_1_31, all_0_8_8) = all_61_0_30
% 7.24/2.41 | (108) in(all_61_1_31, all_0_9_9) = 0
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (46) with all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_61_1_31 and discharging atoms relation_restriction(all_0_11_11, all_0_12_12) = all_0_10_10, relation_field(all_0_10_10) = all_0_9_9, in(all_61_1_31, all_0_9_9) = 0, yields:
% 7.24/2.41 | (109) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (relation_field(all_0_11_11) = v1 & relation(all_0_11_11) = v0 & in(all_61_1_31, v1) = v2 & in(all_61_1_31, all_0_12_12) = v3 & ( ~ (v0 = 0) | (v3 = 0 & v2 = 0)))
% 7.24/2.41 |
% 7.24/2.41 | Instantiating (109) with all_73_0_32, all_73_1_33, all_73_2_34, all_73_3_35 yields:
% 7.24/2.41 | (110) relation_field(all_0_11_11) = all_73_2_34 & relation(all_0_11_11) = all_73_3_35 & in(all_61_1_31, all_73_2_34) = all_73_1_33 & in(all_61_1_31, all_0_12_12) = all_73_0_32 & ( ~ (all_73_3_35 = 0) | (all_73_0_32 = 0 & all_73_1_33 = 0))
% 7.24/2.41 |
% 7.24/2.41 | Applying alpha-rule on (110) yields:
% 7.24/2.41 | (111) ~ (all_73_3_35 = 0) | (all_73_0_32 = 0 & all_73_1_33 = 0)
% 7.24/2.41 | (112) in(all_61_1_31, all_0_12_12) = all_73_0_32
% 7.24/2.41 | (113) relation(all_0_11_11) = all_73_3_35
% 7.24/2.41 | (114) relation_field(all_0_11_11) = all_73_2_34
% 7.24/2.41 | (115) in(all_61_1_31, all_73_2_34) = all_73_1_33
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (37) with all_0_11_11, all_73_2_34, all_0_8_8 and discharging atoms relation_field(all_0_11_11) = all_73_2_34, relation_field(all_0_11_11) = all_0_8_8, yields:
% 7.24/2.41 | (116) all_73_2_34 = all_0_8_8
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (53) with all_0_11_11, all_73_3_35, 0 and discharging atoms relation(all_0_11_11) = all_73_3_35, relation(all_0_11_11) = 0, yields:
% 7.24/2.41 | (117) all_73_3_35 = 0
% 7.24/2.41 |
% 7.24/2.41 | Instantiating formula (57) with all_61_1_31, all_0_8_8, all_73_1_33, all_61_0_30 and discharging atoms in(all_61_1_31, all_0_8_8) = all_61_0_30, yields:
% 7.24/2.41 | (118) all_73_1_33 = all_61_0_30 | ~ (in(all_61_1_31, all_0_8_8) = all_73_1_33)
% 7.24/2.41 |
% 7.24/2.41 | From (116) and (115) follows:
% 7.24/2.41 | (119) in(all_61_1_31, all_0_8_8) = all_73_1_33
% 7.24/2.41 |
% 7.24/2.41 +-Applying beta-rule and splitting (111), into two cases.
% 7.24/2.41 |-Branch one:
% 7.24/2.41 | (120) ~ (all_73_3_35 = 0)
% 7.24/2.41 |
% 7.24/2.41 | Equations (117) can reduce 120 to:
% 7.24/2.41 | (75) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 |-Branch two:
% 7.24/2.41 | (117) all_73_3_35 = 0
% 7.24/2.41 | (123) all_73_0_32 = 0 & all_73_1_33 = 0
% 7.24/2.41 |
% 7.24/2.41 | Applying alpha-rule on (123) yields:
% 7.24/2.41 | (124) all_73_0_32 = 0
% 7.24/2.41 | (125) all_73_1_33 = 0
% 7.24/2.41 |
% 7.24/2.41 | From (125) and (119) follows:
% 7.24/2.41 | (126) in(all_61_1_31, all_0_8_8) = 0
% 7.24/2.41 |
% 7.24/2.41 +-Applying beta-rule and splitting (118), into two cases.
% 7.24/2.41 |-Branch one:
% 7.24/2.41 | (127) ~ (in(all_61_1_31, all_0_8_8) = all_73_1_33)
% 7.24/2.41 |
% 7.24/2.41 | From (125) and (127) follows:
% 7.24/2.41 | (128) ~ (in(all_61_1_31, all_0_8_8) = 0)
% 7.24/2.41 |
% 7.24/2.41 | Using (126) and (128) yields:
% 7.24/2.41 | (129) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 |-Branch two:
% 7.24/2.41 | (119) in(all_61_1_31, all_0_8_8) = all_73_1_33
% 7.24/2.41 | (131) all_73_1_33 = all_61_0_30
% 7.24/2.41 |
% 7.24/2.41 | Combining equations (131,125) yields a new equation:
% 7.24/2.41 | (132) all_61_0_30 = 0
% 7.24/2.41 |
% 7.24/2.41 | Simplifying 132 yields:
% 7.24/2.41 | (133) all_61_0_30 = 0
% 7.24/2.41 |
% 7.24/2.41 | Equations (133) can reduce 106 to:
% 7.24/2.41 | (75) $false
% 7.24/2.41 |
% 7.24/2.41 |-The branch is then unsatisfiable
% 7.24/2.41 % SZS output end Proof for theBenchmark
% 7.24/2.41
% 7.24/2.41 1835ms
%------------------------------------------------------------------------------