%------------------------------------------------------------------------------
% File     : ePrincess---1.0
% Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : ePrincess-casc -timeout=%d %s

% Computer : n007.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Thu Jul 21 15:36:21 EDT 2022

% Result   : Theorem 4.20s 1.68s
% Output   : Proof 6.48s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem  : SYO578+1 : TPTP v8.1.0. Released v5.5.0.
% 0.13/0.13  % Command  : ePrincess-casc -timeout=%d %s
% 0.13/0.34  % Computer : n007.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sat Jul  9 06:21:31 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.54/0.63          ____       _                          
% 0.54/0.63    ___  / __ \_____(_)___  ________  __________
% 0.54/0.63   / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.54/0.63  /  __/ ____/ /  / / / / / /__/  __(__  |__  ) 
% 0.54/0.63  \___/_/   /_/  /_/_/ /_/\___/\___/____/____/  
% 0.54/0.63  
% 0.54/0.63  A Theorem Prover for First-Order Logic
% 0.65/0.63  (ePrincess v.1.0)
% 0.65/0.63  
% 0.65/0.63  (c) Philipp Rümmer, 2009-2015
% 0.65/0.63  (c) Peter Backeman, 2014-2015
% 0.65/0.63  (contributions by Angelo Brillout, Peter Baumgartner)
% 0.65/0.63  Free software under GNU Lesser General Public License (LGPL).
% 0.65/0.63  Bug reports to peter@backeman.se
% 0.65/0.63  
% 0.65/0.63  For more information, visit http://user.uu.se/~petba168/breu/
% 0.65/0.63  
% 0.65/0.63  Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.68  Prover 0: Options:  -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.16/1.09  Prover 0: Preprocessing ...
% 3.00/1.35  Prover 0: Constructing countermodel ...
% 4.20/1.68  Prover 0: proved (997ms)
% 4.20/1.68  
% 4.20/1.68  No countermodel exists, formula is valid
% 4.20/1.68  % SZS status Theorem for theBenchmark
% 4.20/1.68  
% 4.20/1.68  Generating proof ... found it (size 8)
% 6.40/2.13  
% 6.40/2.13  % SZS output start Proof for theBenchmark
% 6.40/2.13  Assumed formulas after preprocessing and simplification: 
% 6.40/2.13  | (0)  ? [v0] :  ? [v1] :  ? [v2] :  ? [v3] :  ? [v4] :  ? [v5] :  ? [v6] :  ? [v7] :  ? [v8] :  ? [v9] :  ? [v10] :  ? [v11] :  ? [v12] :  ? [v13] :  ? [v14] :  ? [v15] :  ? [v16] :  ? [v17] :  ? [v18] :  ? [v19] :  ? [v20] :  ? [v21] :  ? [v22] :  ? [v23] :  ? [v24] :  ? [v25] :  ? [v26] :  ? [v27] :  ? [v28] :  ? [v29] :  ? [v30] :  ? [v31] :  ? [v32] :  ? [v33] :  ? [v34] :  ? [v35] :  ? [v36] :  ? [v37] :  ? [v38] :  ? [v39] :  ? [v40] :  ? [v41] :  ? [v42] :  ? [v43] : (k04_buttercup10100(v40) & k04_buttercup10100(v32) & k04_buttercup10100(v14) & k04_buttercup10100(v0) & b48_buttercup10111(v9) & b48_buttercup10110(v8) & b48_buttercup10109(v3) & b48_buttercup10108(v4) & b48_buttercup10107(v5) & b48_buttercup10104(v6) & b48_buttercup10098(v36) & b48_buttercup10098(v22) & b48_buttercup10098(v10) & b48_buttercup10098(v0) & b48_buttercup10102(v7) & k04_buttercup10622(v25) & k04_buttercup10622(v24) & k04_buttercup10622(v23) & k04_buttercup10622(v18) & k04_buttercup10622(v11) & k04_buttercup10619(v13) & k04_buttercup10620(v12) &  ~ k04_buttercup10100(v22) &  ~ b48_buttercup10111(v32) &  ~ b48_buttercup10110(v24) &  ~ b48_buttercup10109(v40) &  ~ b48_buttercup10108(v23) &  ~ b48_buttercup10104(v25) &  ~ b48_buttercup10102(v18) &  ~ k04_buttercup10619(v36) &  ! [v44] :  ! [v45] :  ! [v46] : ( ~ k04_buttercup10100(v45) |  ~ k04_buttercup10100(v44) |  ~ b48_buttercup10098(v46) |  ~ b48_buttercup10098(v44) | k04_buttercup10100(v46) | b48_buttercup10098(v45)) &  ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ k04_buttercup10619(v44)) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10110(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10109(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10108(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10107(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10104(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) | k04_buttercup10100(v44)) &  ! [v44] : ( ~ b48_buttercup10111(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) |  ~ b48_buttercup10109(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) |  ~ b48_buttercup10108(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) |  ~ b48_buttercup10107(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) |  ~ b48_buttercup10104(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10110(v44) | k04_buttercup10622(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) |  ~ b48_buttercup10108(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) |  ~ b48_buttercup10107(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) |  ~ b48_buttercup10104(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) | k04_buttercup10100(v44)) &  ! [v44] : ( ~ b48_buttercup10109(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10108(v44) |  ~ b48_buttercup10107(v44)) &  ! [v44] : ( ~ b48_buttercup10108(v44) |  ~ b48_buttercup10104(v44)) &  ! [v44] : ( ~ b48_buttercup10108(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10108(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10108(v44) | k04_buttercup10622(v44)) &  ! [v44] : ( ~ b48_buttercup10107(v44) |  ~ b48_buttercup10104(v44)) &  ! [v44] : ( ~ b48_buttercup10107(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10107(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10107(v44) | k04_buttercup10620(v44)) &  ! [v44] : ( ~ b48_buttercup10104(v44) |  ~ b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10104(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10104(v44) | k04_buttercup10622(v44)) &  ! [v44] : ( ~ b48_buttercup10098(v44) | b48_buttercup10111(v44) | b48_buttercup10110(v44) | b48_buttercup10109(v44) | b48_buttercup10108(v44) | b48_buttercup10107(v44) | b48_buttercup10104(v44) | b48_buttercup10102(v44)) &  ! [v44] : ( ~ b48_buttercup10102(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ b48_buttercup10102(v44) | k04_buttercup10622(v44)) &  ! [v44] : ( ~ k04_buttercup10622(v44) |  ~ k04_buttercup10620(v44)) &  ! [v44] : ( ~ k04_buttercup10622(v44) | k04_buttercup10619(v44)) &  ! [v44] : ( ~ k04_buttercup10619(v44) | b48_buttercup10098(v44)) &  ! [v44] : ( ~ k04_buttercup10619(v44) | k04_buttercup10622(v44) | k04_buttercup10620(v44)) &  ! [v44] : ( ~ k04_buttercup10620(v44) | b48_buttercup10107(v44)) &  ! [v44] : ( ~ k04_buttercup10620(v44) | k04_buttercup10619(v44)) & ( ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ b48_buttercup10110(v44)) | (k04_buttercup10100(v27) & k04_buttercup10100(v26) & b48_buttercup10110(v28) & b48_buttercup10110(v26) &  ~ k04_buttercup10100(v28) &  ~ b48_buttercup10110(v27)) | (k04_buttercup10100(v26) &  ~ b48_buttercup10110(v26) &  ! [v44] : ( ~ b48_buttercup10110(v44) | k04_buttercup10100(v44))) | (b48_buttercup10110(v26) &  ~ k04_buttercup10100(v26) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10110(v44)))) & ( ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ b48_buttercup10108(v44)) | (k04_buttercup10100(v30) & k04_buttercup10100(v29) & b48_buttercup10108(v31) & b48_buttercup10108(v29) &  ~ k04_buttercup10100(v31) &  ~ b48_buttercup10108(v30)) | (k04_buttercup10100(v29) &  ~ b48_buttercup10108(v29) &  ! [v44] : ( ~ b48_buttercup10108(v44) | k04_buttercup10100(v44))) | (b48_buttercup10108(v29) &  ~ k04_buttercup10100(v29) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10108(v44)))) & ( ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ b48_buttercup10107(v44)) | (k04_buttercup10100(v16) & k04_buttercup10100(v15) & b48_buttercup10107(v17) & b48_buttercup10107(v15) &  ~ k04_buttercup10100(v17) &  ~ b48_buttercup10107(v16)) | (k04_buttercup10100(v15) &  ~ b48_buttercup10107(v15) &  ! [v44] : ( ~ b48_buttercup10107(v44) | k04_buttercup10100(v44))) | (b48_buttercup10107(v15) &  ~ k04_buttercup10100(v15) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10107(v44)))) & ( ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ b48_buttercup10104(v44)) | (k04_buttercup10100(v42) & k04_buttercup10100(v41) & b48_buttercup10104(v43) & b48_buttercup10104(v41) &  ~ k04_buttercup10100(v43) &  ~ b48_buttercup10104(v42)) | (k04_buttercup10100(v41) &  ~ b48_buttercup10104(v41) &  ! [v44] : ( ~ b48_buttercup10104(v44) | k04_buttercup10100(v44))) | (b48_buttercup10104(v41) &  ~ k04_buttercup10100(v41) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10104(v44)))) & ( ! [v44] : ( ~ k04_buttercup10100(v44) |  ~ b48_buttercup10102(v44)) | (k04_buttercup10100(v20) & k04_buttercup10100(v19) & b48_buttercup10102(v21) & b48_buttercup10102(v19) &  ~ k04_buttercup10100(v21) &  ~ b48_buttercup10102(v20)) | (k04_buttercup10100(v19) &  ~ b48_buttercup10102(v19) &  ! [v44] : ( ~ b48_buttercup10102(v44) | k04_buttercup10100(v44))) | (b48_buttercup10102(v19) &  ~ k04_buttercup10100(v19) &  ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10102(v44)))) & ( ! [v44] : ( ~ k04_buttercup10100(v44) | b48_buttercup10098(v44)) | (b48_buttercup10098(v2) &  ~ k04_buttercup10100(v2))) & ( ! [v44] : ( ~ b48_buttercup10111(v44) |  ~ k04_buttercup10619(v44)) | (b48_buttercup10111(v39) & b48_buttercup10111(v37) & k04_buttercup10619(v38) & k04_buttercup10619(v37) &  ~ b48_buttercup10111(v38) &  ~ k04_buttercup10619(v39)) | (b48_buttercup10111(v37) &  ~ k04_buttercup10619(v37) &  ! [v44] : ( ~ k04_buttercup10619(v44) | b48_buttercup10111(v44))) | (k04_buttercup10619(v37) &  ~ b48_buttercup10111(v37) &  ! [v44] : ( ~ b48_buttercup10111(v44) | k04_buttercup10619(v44)))) & ( ! [v44] : ( ~ b48_buttercup10109(v44) |  ~ k04_buttercup10619(v44)) | (b48_buttercup10109(v35) & b48_buttercup10109(v33) & k04_buttercup10619(v34) & k04_buttercup10619(v33) &  ~ b48_buttercup10109(v34) &  ~ k04_buttercup10619(v35)) | (b48_buttercup10109(v33) &  ~ k04_buttercup10619(v33) &  ! [v44] : ( ~ k04_buttercup10619(v44) | b48_buttercup10109(v44))) | (k04_buttercup10619(v33) &  ~ b48_buttercup10109(v33) &  ! [v44] : ( ~ b48_buttercup10109(v44) | k04_buttercup10619(v44)))) & ( ! [v44] : ( ~ b48_buttercup10098(v44) | k04_buttercup10100(v44)) | (k04_buttercup10100(v1) &  ~ b48_buttercup10098(v1))))
% 6.48/2.15  | 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, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43 yields:
% 6.48/2.15  | (1) k04_buttercup10100(all_0_3_3) & k04_buttercup10100(all_0_11_11) & k04_buttercup10100(all_0_29_29) & k04_buttercup10100(all_0_43_43) & b48_buttercup10111(all_0_34_34) & b48_buttercup10110(all_0_35_35) & b48_buttercup10109(all_0_40_40) & b48_buttercup10108(all_0_39_39) & b48_buttercup10107(all_0_38_38) & b48_buttercup10104(all_0_37_37) & b48_buttercup10098(all_0_7_7) & b48_buttercup10098(all_0_21_21) & b48_buttercup10098(all_0_33_33) & b48_buttercup10098(all_0_43_43) & b48_buttercup10102(all_0_36_36) & k04_buttercup10622(all_0_18_18) & k04_buttercup10622(all_0_19_19) & k04_buttercup10622(all_0_20_20) & k04_buttercup10622(all_0_25_25) & k04_buttercup10622(all_0_32_32) & k04_buttercup10619(all_0_30_30) & k04_buttercup10620(all_0_31_31) &  ~ k04_buttercup10100(all_0_21_21) &  ~ b48_buttercup10111(all_0_11_11) &  ~ b48_buttercup10110(all_0_19_19) &  ~ b48_buttercup10109(all_0_3_3) &  ~ b48_buttercup10108(all_0_20_20) &  ~ b48_buttercup10104(all_0_18_18) &  ~ b48_buttercup10102(all_0_25_25) &  ~ k04_buttercup10619(all_0_7_7) &  ! [v0] :  ! [v1] :  ! [v2] : ( ~ k04_buttercup10100(v1) |  ~ k04_buttercup10100(v0) |  ~ b48_buttercup10098(v2) |  ~ b48_buttercup10098(v0) | k04_buttercup10100(v2) | b48_buttercup10098(v1)) &  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ k04_buttercup10619(v0)) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10110(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10109(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10108(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10107(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10104(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) | k04_buttercup10100(v0)) &  ! [v0] : ( ~ b48_buttercup10111(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10109(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10108(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10107(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10104(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10110(v0) | k04_buttercup10622(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10108(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10107(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10104(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) | k04_buttercup10100(v0)) &  ! [v0] : ( ~ b48_buttercup10109(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10107(v0)) &  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10104(v0)) &  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10108(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10108(v0) | k04_buttercup10622(v0)) &  ! [v0] : ( ~ b48_buttercup10107(v0) |  ~ b48_buttercup10104(v0)) &  ! [v0] : ( ~ b48_buttercup10107(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10107(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10107(v0) | k04_buttercup10620(v0)) &  ! [v0] : ( ~ b48_buttercup10104(v0) |  ~ b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10104(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10104(v0) | k04_buttercup10622(v0)) &  ! [v0] : ( ~ b48_buttercup10098(v0) | b48_buttercup10111(v0) | b48_buttercup10110(v0) | b48_buttercup10109(v0) | b48_buttercup10108(v0) | b48_buttercup10107(v0) | b48_buttercup10104(v0) | b48_buttercup10102(v0)) &  ! [v0] : ( ~ b48_buttercup10102(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ b48_buttercup10102(v0) | k04_buttercup10622(v0)) &  ! [v0] : ( ~ k04_buttercup10622(v0) |  ~ k04_buttercup10620(v0)) &  ! [v0] : ( ~ k04_buttercup10622(v0) | k04_buttercup10619(v0)) &  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10098(v0)) &  ! [v0] : ( ~ k04_buttercup10619(v0) | k04_buttercup10622(v0) | k04_buttercup10620(v0)) &  ! [v0] : ( ~ k04_buttercup10620(v0) | b48_buttercup10107(v0)) &  ! [v0] : ( ~ k04_buttercup10620(v0) | k04_buttercup10619(v0)) & ( ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10110(v0)) | (k04_buttercup10100(all_0_16_16) & k04_buttercup10100(all_0_17_17) & b48_buttercup10110(all_0_15_15) & b48_buttercup10110(all_0_17_17) &  ~ k04_buttercup10100(all_0_15_15) &  ~ b48_buttercup10110(all_0_16_16)) | (k04_buttercup10100(all_0_17_17) &  ~ b48_buttercup10110(all_0_17_17) &  ! [v0] : ( ~ b48_buttercup10110(v0) | k04_buttercup10100(v0))) | (b48_buttercup10110(all_0_17_17) &  ~ k04_buttercup10100(all_0_17_17) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10110(v0)))) & ( ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10108(v0)) | (k04_buttercup10100(all_0_13_13) & k04_buttercup10100(all_0_14_14) & b48_buttercup10108(all_0_12_12) & b48_buttercup10108(all_0_14_14) &  ~ k04_buttercup10100(all_0_12_12) &  ~ b48_buttercup10108(all_0_13_13)) | (k04_buttercup10100(all_0_14_14) &  ~ b48_buttercup10108(all_0_14_14) &  ! [v0] : ( ~ b48_buttercup10108(v0) | k04_buttercup10100(v0))) | (b48_buttercup10108(all_0_14_14) &  ~ k04_buttercup10100(all_0_14_14) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10108(v0)))) & ( ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10107(v0)) | (k04_buttercup10100(all_0_27_27) & k04_buttercup10100(all_0_28_28) & b48_buttercup10107(all_0_26_26) & b48_buttercup10107(all_0_28_28) &  ~ k04_buttercup10100(all_0_26_26) &  ~ b48_buttercup10107(all_0_27_27)) | (k04_buttercup10100(all_0_28_28) &  ~ b48_buttercup10107(all_0_28_28) &  ! [v0] : ( ~ b48_buttercup10107(v0) | k04_buttercup10100(v0))) | (b48_buttercup10107(all_0_28_28) &  ~ k04_buttercup10100(all_0_28_28) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10107(v0)))) & ( ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10104(v0)) | (k04_buttercup10100(all_0_1_1) & k04_buttercup10100(all_0_2_2) & b48_buttercup10104(all_0_0_0) & b48_buttercup10104(all_0_2_2) &  ~ k04_buttercup10100(all_0_0_0) &  ~ b48_buttercup10104(all_0_1_1)) | (k04_buttercup10100(all_0_2_2) &  ~ b48_buttercup10104(all_0_2_2) &  ! [v0] : ( ~ b48_buttercup10104(v0) | k04_buttercup10100(v0))) | (b48_buttercup10104(all_0_2_2) &  ~ k04_buttercup10100(all_0_2_2) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10104(v0)))) & ( ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10102(v0)) | (k04_buttercup10100(all_0_23_23) & k04_buttercup10100(all_0_24_24) & b48_buttercup10102(all_0_22_22) & b48_buttercup10102(all_0_24_24) &  ~ k04_buttercup10100(all_0_22_22) &  ~ b48_buttercup10102(all_0_23_23)) | (k04_buttercup10100(all_0_24_24) &  ~ b48_buttercup10102(all_0_24_24) &  ! [v0] : ( ~ b48_buttercup10102(v0) | k04_buttercup10100(v0))) | (b48_buttercup10102(all_0_24_24) &  ~ k04_buttercup10100(all_0_24_24) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10102(v0)))) & ( ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10098(v0)) | (b48_buttercup10098(all_0_41_41) &  ~ k04_buttercup10100(all_0_41_41))) & ( ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ k04_buttercup10619(v0)) | (b48_buttercup10111(all_0_4_4) & b48_buttercup10111(all_0_6_6) & k04_buttercup10619(all_0_5_5) & k04_buttercup10619(all_0_6_6) &  ~ b48_buttercup10111(all_0_5_5) &  ~ k04_buttercup10619(all_0_4_4)) | (b48_buttercup10111(all_0_6_6) &  ~ k04_buttercup10619(all_0_6_6) &  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10111(v0))) | (k04_buttercup10619(all_0_6_6) &  ~ b48_buttercup10111(all_0_6_6) &  ! [v0] : ( ~ b48_buttercup10111(v0) | k04_buttercup10619(v0)))) & ( ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ k04_buttercup10619(v0)) | (b48_buttercup10109(all_0_8_8) & b48_buttercup10109(all_0_10_10) & k04_buttercup10619(all_0_9_9) & k04_buttercup10619(all_0_10_10) &  ~ b48_buttercup10109(all_0_9_9) &  ~ k04_buttercup10619(all_0_8_8)) | (b48_buttercup10109(all_0_10_10) &  ~ k04_buttercup10619(all_0_10_10) &  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10109(v0))) | (k04_buttercup10619(all_0_10_10) &  ~ b48_buttercup10109(all_0_10_10) &  ! [v0] : ( ~ b48_buttercup10109(v0) | k04_buttercup10619(v0)))) & ( ! [v0] : ( ~ b48_buttercup10098(v0) | k04_buttercup10100(v0)) | (k04_buttercup10100(all_0_42_42) &  ~ b48_buttercup10098(all_0_42_42)))
% 6.48/2.16  |
% 6.48/2.16  | Applying alpha-rule on (1) yields:
% 6.48/2.16  | (2)  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10108(v0))
% 6.48/2.16  | (3)  ! [v0] :  ! [v1] :  ! [v2] : ( ~ k04_buttercup10100(v1) |  ~ k04_buttercup10100(v0) |  ~ b48_buttercup10098(v2) |  ~ b48_buttercup10098(v0) | k04_buttercup10100(v2) | b48_buttercup10098(v1))
% 6.48/2.16  | (4) k04_buttercup10622(all_0_32_32)
% 6.48/2.16  | (5)  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.16  | (6)  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10104(v0))
% 6.48/2.16  | (7) b48_buttercup10098(all_0_21_21)
% 6.48/2.16  | (8) k04_buttercup10622(all_0_20_20)
% 6.48/2.16  | (9)  ~ b48_buttercup10108(all_0_20_20)
% 6.48/2.17  | (10)  ! [v0] : ( ~ b48_buttercup10102(v0) | k04_buttercup10622(v0))
% 6.48/2.17  | (11) k04_buttercup10620(all_0_31_31)
% 6.48/2.17  | (12) b48_buttercup10111(all_0_34_34)
% 6.48/2.17  | (13)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.17  | (14) b48_buttercup10098(all_0_33_33)
% 6.48/2.17  | (15)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10108(v0)) | (k04_buttercup10100(all_0_13_13) & k04_buttercup10100(all_0_14_14) & b48_buttercup10108(all_0_12_12) & b48_buttercup10108(all_0_14_14) &  ~ k04_buttercup10100(all_0_12_12) &  ~ b48_buttercup10108(all_0_13_13)) | (k04_buttercup10100(all_0_14_14) &  ~ b48_buttercup10108(all_0_14_14) &  ! [v0] : ( ~ b48_buttercup10108(v0) | k04_buttercup10100(v0))) | (b48_buttercup10108(all_0_14_14) &  ~ k04_buttercup10100(all_0_14_14) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10108(v0)))
% 6.48/2.17  | (16)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10108(v0))
% 6.48/2.17  | (17)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10107(v0)) | (k04_buttercup10100(all_0_27_27) & k04_buttercup10100(all_0_28_28) & b48_buttercup10107(all_0_26_26) & b48_buttercup10107(all_0_28_28) &  ~ k04_buttercup10100(all_0_26_26) &  ~ b48_buttercup10107(all_0_27_27)) | (k04_buttercup10100(all_0_28_28) &  ~ b48_buttercup10107(all_0_28_28) &  ! [v0] : ( ~ b48_buttercup10107(v0) | k04_buttercup10100(v0))) | (b48_buttercup10107(all_0_28_28) &  ~ k04_buttercup10100(all_0_28_28) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10107(v0)))
% 6.48/2.17  | (18)  ! [v0] : ( ~ b48_buttercup10110(v0) | b48_buttercup10098(v0))
% 6.48/2.17  | (19) k04_buttercup10100(all_0_29_29)
% 6.48/2.17  | (20)  ! [v0] : ( ~ k04_buttercup10619(v0) | k04_buttercup10622(v0) | k04_buttercup10620(v0))
% 6.48/2.17  | (21) k04_buttercup10622(all_0_18_18)
% 6.48/2.17  | (22)  ! [v0] : ( ~ b48_buttercup10109(v0) | b48_buttercup10098(v0))
% 6.48/2.17  | (23)  ! [v0] : ( ~ b48_buttercup10111(v0) | k04_buttercup10100(v0))
% 6.48/2.17  | (24) k04_buttercup10622(all_0_19_19)
% 6.48/2.17  | (25)  ! [v0] : ( ~ k04_buttercup10620(v0) | k04_buttercup10619(v0))
% 6.48/2.17  | (26)  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ k04_buttercup10619(v0)) | (b48_buttercup10109(all_0_8_8) & b48_buttercup10109(all_0_10_10) & k04_buttercup10619(all_0_9_9) & k04_buttercup10619(all_0_10_10) &  ~ b48_buttercup10109(all_0_9_9) &  ~ k04_buttercup10619(all_0_8_8)) | (b48_buttercup10109(all_0_10_10) &  ~ k04_buttercup10619(all_0_10_10) &  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10109(v0))) | (k04_buttercup10619(all_0_10_10) &  ~ b48_buttercup10109(all_0_10_10) &  ! [v0] : ( ~ b48_buttercup10109(v0) | k04_buttercup10619(v0)))
% 6.48/2.17  | (27) b48_buttercup10108(all_0_39_39)
% 6.48/2.17  | (28)  ! [v0] : ( ~ k04_buttercup10620(v0) | b48_buttercup10107(v0))
% 6.48/2.17  | (29)  ! [v0] : ( ~ b48_buttercup10107(v0) | k04_buttercup10620(v0))
% 6.48/2.17  | (30)  ! [v0] : ( ~ b48_buttercup10108(v0) | k04_buttercup10622(v0))
% 6.48/2.17  | (31)  ! [v0] : ( ~ b48_buttercup10107(v0) |  ~ b48_buttercup10104(v0))
% 6.48/2.17  | (32)  ! [v0] : ( ~ b48_buttercup10110(v0) | k04_buttercup10622(v0))
% 6.48/2.17  | (33)  ! [v0] : ( ~ b48_buttercup10098(v0) | b48_buttercup10111(v0) | b48_buttercup10110(v0) | b48_buttercup10109(v0) | b48_buttercup10108(v0) | b48_buttercup10107(v0) | b48_buttercup10104(v0) | b48_buttercup10102(v0))
% 6.48/2.17  | (34)  ! [v0] : ( ~ b48_buttercup10108(v0) | b48_buttercup10098(v0))
% 6.48/2.17  | (35)  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10098(v0))
% 6.48/2.17  | (36)  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10107(v0))
% 6.48/2.17  | (37)  ~ b48_buttercup10111(all_0_11_11)
% 6.48/2.17  | (38)  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10098(v0)) | (b48_buttercup10098(all_0_41_41) &  ~ k04_buttercup10100(all_0_41_41))
% 6.48/2.17  | (39)  ! [v0] : ( ~ b48_buttercup10109(v0) | k04_buttercup10100(v0))
% 6.48/2.17  | (40)  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.17  | (41)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ k04_buttercup10619(v0))
% 6.48/2.17  | (42)  ! [v0] : ( ~ b48_buttercup10109(v0) |  ~ b48_buttercup10107(v0))
% 6.48/2.17  | (43)  ! [v0] : ( ~ k04_buttercup10622(v0) |  ~ k04_buttercup10620(v0))
% 6.48/2.17  | (44)  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10107(v0))
% 6.48/2.17  | (45)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10107(v0))
% 6.48/2.17  | (46)  ! [v0] : ( ~ b48_buttercup10104(v0) | k04_buttercup10622(v0))
% 6.48/2.17  | (47)  ! [v0] : ( ~ b48_buttercup10098(v0) | k04_buttercup10100(v0)) | (k04_buttercup10100(all_0_42_42) &  ~ b48_buttercup10098(all_0_42_42))
% 6.48/2.17  | (48)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10102(v0)) | (k04_buttercup10100(all_0_23_23) & k04_buttercup10100(all_0_24_24) & b48_buttercup10102(all_0_22_22) & b48_buttercup10102(all_0_24_24) &  ~ k04_buttercup10100(all_0_22_22) &  ~ b48_buttercup10102(all_0_23_23)) | (k04_buttercup10100(all_0_24_24) &  ~ b48_buttercup10102(all_0_24_24) &  ! [v0] : ( ~ b48_buttercup10102(v0) | k04_buttercup10100(v0))) | (b48_buttercup10102(all_0_24_24) &  ~ k04_buttercup10100(all_0_24_24) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10102(v0)))
% 6.48/2.17  | (49)  ~ k04_buttercup10100(all_0_21_21)
% 6.48/2.18  | (50)  ! [v0] : ( ~ b48_buttercup10102(v0) | b48_buttercup10098(v0))
% 6.48/2.18  | (51) k04_buttercup10619(all_0_30_30)
% 6.48/2.18  | (52)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10104(v0))
% 6.48/2.18  | (53) k04_buttercup10622(all_0_25_25)
% 6.48/2.18  | (54) k04_buttercup10100(all_0_11_11)
% 6.48/2.18  | (55)  ! [v0] : ( ~ b48_buttercup10107(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.18  | (56)  ~ k04_buttercup10619(all_0_7_7)
% 6.48/2.18  | (57) b48_buttercup10104(all_0_37_37)
% 6.48/2.18  | (58)  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.18  | (59)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10110(v0))
% 6.48/2.18  | (60)  ! [v0] : ( ~ k04_buttercup10622(v0) | k04_buttercup10619(v0))
% 6.48/2.18  | (61) b48_buttercup10102(all_0_36_36)
% 6.48/2.18  | (62)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10110(v0)) | (k04_buttercup10100(all_0_16_16) & k04_buttercup10100(all_0_17_17) & b48_buttercup10110(all_0_15_15) & b48_buttercup10110(all_0_17_17) &  ~ k04_buttercup10100(all_0_15_15) &  ~ b48_buttercup10110(all_0_16_16)) | (k04_buttercup10100(all_0_17_17) &  ~ b48_buttercup10110(all_0_17_17) &  ! [v0] : ( ~ b48_buttercup10110(v0) | k04_buttercup10100(v0))) | (b48_buttercup10110(all_0_17_17) &  ~ k04_buttercup10100(all_0_17_17) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10110(v0)))
% 6.48/2.18  | (63)  ~ b48_buttercup10110(all_0_19_19)
% 6.48/2.18  | (64) b48_buttercup10098(all_0_7_7)
% 6.48/2.18  | (65) k04_buttercup10100(all_0_43_43)
% 6.48/2.18  | (66)  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10108(v0))
% 6.48/2.18  | (67)  ! [v0] : ( ~ b48_buttercup10104(v0) |  ~ b48_buttercup10102(v0))
% 6.48/2.18  | (68)  ~ b48_buttercup10109(all_0_3_3)
% 6.48/2.18  | (69) b48_buttercup10098(all_0_43_43)
% 6.48/2.18  | (70)  ! [v0] : ( ~ b48_buttercup10108(v0) |  ~ b48_buttercup10104(v0))
% 6.48/2.18  | (71)  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10109(v0))
% 6.48/2.18  | (72) k04_buttercup10100(all_0_3_3)
% 6.48/2.18  | (73)  ~ b48_buttercup10104(all_0_18_18)
% 6.48/2.18  | (74)  ! [v0] : ( ~ b48_buttercup10111(v0) | b48_buttercup10098(v0))
% 6.48/2.18  | (75)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ b48_buttercup10109(v0))
% 6.48/2.18  | (76)  ! [v0] : ( ~ k04_buttercup10100(v0) |  ~ b48_buttercup10104(v0)) | (k04_buttercup10100(all_0_1_1) & k04_buttercup10100(all_0_2_2) & b48_buttercup10104(all_0_0_0) & b48_buttercup10104(all_0_2_2) &  ~ k04_buttercup10100(all_0_0_0) &  ~ b48_buttercup10104(all_0_1_1)) | (k04_buttercup10100(all_0_2_2) &  ~ b48_buttercup10104(all_0_2_2) &  ! [v0] : ( ~ b48_buttercup10104(v0) | k04_buttercup10100(v0))) | (b48_buttercup10104(all_0_2_2) &  ~ k04_buttercup10100(all_0_2_2) &  ! [v0] : ( ~ k04_buttercup10100(v0) | b48_buttercup10104(v0)))
% 6.48/2.18  | (77)  ~ b48_buttercup10102(all_0_25_25)
% 6.48/2.18  | (78)  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10098(v0))
% 6.48/2.18  | (79)  ! [v0] : ( ~ b48_buttercup10111(v0) |  ~ k04_buttercup10619(v0)) | (b48_buttercup10111(all_0_4_4) & b48_buttercup10111(all_0_6_6) & k04_buttercup10619(all_0_5_5) & k04_buttercup10619(all_0_6_6) &  ~ b48_buttercup10111(all_0_5_5) &  ~ k04_buttercup10619(all_0_4_4)) | (b48_buttercup10111(all_0_6_6) &  ~ k04_buttercup10619(all_0_6_6) &  ! [v0] : ( ~ k04_buttercup10619(v0) | b48_buttercup10111(v0))) | (k04_buttercup10619(all_0_6_6) &  ~ b48_buttercup10111(all_0_6_6) &  ! [v0] : ( ~ b48_buttercup10111(v0) | k04_buttercup10619(v0)))
% 6.48/2.18  | (80)  ! [v0] : ( ~ b48_buttercup10110(v0) |  ~ b48_buttercup10104(v0))
% 6.48/2.18  | (81) b48_buttercup10110(all_0_35_35)
% 6.48/2.18  | (82)  ! [v0] : ( ~ b48_buttercup10107(v0) | b48_buttercup10098(v0))
% 6.48/2.18  | (83) b48_buttercup10107(all_0_38_38)
% 6.48/2.18  | (84)  ! [v0] : ( ~ b48_buttercup10104(v0) | b48_buttercup10098(v0))
% 6.48/2.18  | (85) b48_buttercup10109(all_0_40_40)
% 6.48/2.18  |
% 6.48/2.18  +-Applying beta-rule and splitting (47), into two cases.
% 6.48/2.18  |-Branch one:
% 6.48/2.18  | (86)  ! [v0] : ( ~ b48_buttercup10098(v0) | k04_buttercup10100(v0))
% 6.48/2.18  |
% 6.48/2.18  	| Instantiating formula (86) with all_0_21_21 and discharging atoms b48_buttercup10098(all_0_21_21),  ~ k04_buttercup10100(all_0_21_21), yields:
% 6.48/2.19  	| (87) $false
% 6.48/2.19  	|
% 6.48/2.19  	|-The branch is then unsatisfiable
% 6.48/2.19  |-Branch two:
% 6.48/2.19  | (88) k04_buttercup10100(all_0_42_42) &  ~ b48_buttercup10098(all_0_42_42)
% 6.48/2.19  |
% 6.48/2.19  	| Applying alpha-rule on (88) yields:
% 6.48/2.19  	| (89) k04_buttercup10100(all_0_42_42)
% 6.48/2.19  	| (90)  ~ b48_buttercup10098(all_0_42_42)
% 6.48/2.19  	|
% 6.48/2.19  	| Instantiating formula (35) with all_0_42_42 and discharging atoms k04_buttercup10100(all_0_42_42),  ~ b48_buttercup10098(all_0_42_42), yields:
% 6.48/2.19  	| (87) $false
% 6.48/2.19  	|
% 6.48/2.19  	|-The branch is then unsatisfiable
% 6.48/2.19  % SZS output end Proof for theBenchmark
% 6.48/2.19  
% 6.48/2.19  1547ms
%------------------------------------------------------------------------------