TSTP Solution File: SYO578+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% 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
%------------------------------------------------------------------------------