TSTP Solution File: ITP001+1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.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 : 300s
% DateTime : Sat Jul 23 06:05:28 EDT 2022
% Result : Theorem 3.13s 3.35s
% Output : Refutation 3.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.15 % Problem : ITP001+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.03/0.15 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.36 % Computer : n017.cluster.edu
% 0.12/0.36 % Model : x86_64 x86_64
% 0.12/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.36 % Memory : 8042.1875MB
% 0.12/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.36 % CPULimit : 300
% 0.12/0.36 % WCLimit : 300
% 0.12/0.36 % DateTime : Fri Jul 22 08:19:28 EDT 2022
% 0.12/0.36 % CPUTime :
% 3.13/3.35 GeoParameters:
% 3.13/3.35
% 3.13/3.35 tptp_input = 1
% 3.13/3.35 tptp_output = 0
% 3.13/3.35 nonempty = 1
% 3.13/3.35 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.35 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 3.13/3.35
% 3.13/3.35
% 3.13/3.35 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.35 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.35
% 3.13/3.35 RuleSystem INPUT:
% 3.13/3.35
% 3.13/3.35 Initial Rules:
% 3.13/3.35 #0: input, references = 3, size of lhs = 4:
% 3.13/3.35 P_tyop_2Emin_2Efun-{F}(V0,V1,V4), P_s-{F}(V4,V2,V5), P_s-{F}(V4,V3,V6), V5 == V6 | EXISTS V7: pppp9-{T}(V1,V0,V5,V6,V7)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #1: input, references = 3, size of lhs = 6:
% 3.13/3.35 pppp9-{F}(V0,V1,V2,V3,V4), P_s-{F}(V1,V4,V5), P_app_2E2-{F}(V2,V5,V6), P_s-{F}(V0,V6,V9), P_app_2E2-{F}(V3,V5,V8), P_s-{F}(V0,V8,V9) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #2: input, references = 3, size of lhs = 4:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_s-{F}(V0,V1,V3), P_s-{F}(V0,V2,V4), V3 == V4 | p-{T}(V3), p-{T}(V4)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #3: input, references = 4, size of lhs = 6:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_s-{F}(V0,V1,V3), P_s-{F}(V0,V2,V4), p-{F}(V4), p-{F}(V3), V3 == V4 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #4: input, references = 6, size of lhs = 3:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2) | p-{T}(V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #5: input, references = 6, size of lhs = 6:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), p-{F}(V4) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #6: input, references = 4, size of lhs = 8:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_s-{F}(V0,V5,V6), V6 == V2, V6 == V4 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #7: input, references = 4, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_tyop_2Emin_2Efun-{F}(V6,V6,V8), P_s-{F}(V8,V5,V9), P_s-{F}(V6,V7,V10), P_app_2E2-{F}(V9,V10,V11), P_s-{F}(V6,V11,V12), V12 == V10 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #8: input, references = 4, size of lhs = 17:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_tyop_2Emin_2Efun-{F}(V8,V7,V11), P_tyop_2Emin_2Efun-{F}(V7,V11,V12), P_s-{F}(V12,V6,V13), P_s-{F}(V7,V9,V14), P_app_2E2-{F}(V13,V14,V15), P_s-{F}(V11,V15,V16), P_s-{F}(V8,V10,V17), P_app_2E2-{F}(V16,V17,V18), P_s-{F}(V7,V18,V19), V19 == V14 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #9: input, references = 4, size of lhs = 31:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V10,V14), P_tyop_2Emin_2Efun-{F}(V8,V9,V15), P_tyop_2Emin_2Efun-{F}(V15,V14,V16), P_tyop_2Emin_2Efun-{F}(V9,V10,V17), P_tyop_2Emin_2Efun-{F}(V8,V17,V18), P_tyop_2Emin_2Efun-{F}(V18,V16,V19), P_s-{F}(V19,V7,V20), P_s-{F}(V18,V11,V21), P_app_2E2-{F}(V20,V21,V22), P_s-{F}(V16,V22,V23), P_s-{F}(V15,V12,V24), P_app_2E2-{F}(V23,V24,V25), P_s-{F}(V14,V25,V26), P_s-{F}(V8,V13,V27), P_app_2E2-{F}(V26,V27,V28), P_s-{F}(V10,V28,V29), P_app_2E2-{F}(V21,V27,V30), P_s-{F}(V17,V30,V31), P_app_2E2-{F}(V24,V27,V32), P_s-{F}(V9,V32,V33), P_app_2E2-{F}(V31,V33,V34), P_s-{F}(V10,V34,V35), V29 == V35 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #10: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Ebool_2E_2F_5C_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), p-{F}(V13) | pppp0-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #11: input, references = 5, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Ebool_2E_2F_5C_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), pppp0-{F}(V8,V9) | p-{T}(V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #12: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), pppp0-{F}(V8,V9) | p-{T}(V10)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #13: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), pppp0-{F}(V8,V9) | p-{T}(V11)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #14: input, references = 5, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), p-{F}(V10), p-{F}(V11) | pppp0-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #15: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Ebool_2E_5C_2F_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), p-{F}(V13) | pppp1-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #16: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Ebool_2E_5C_2F_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), pppp1-{F}(V8,V9) | p-{T}(V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #17: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), pppp1-{F}(V8,V9) | p-{T}(V10), p-{T}(V11)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #18: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), p-{F}(V10) | pppp1-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #19: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), p-{F}(V11) | pppp1-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #20: input, references = 4, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V9), P_c_2Ebool_2E_7E_2E1-{F}(V9,V10), P_s-{F}(V0,V10,V11), p-{F}(V11), p-{F}(V9) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #21: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V9), P_c_2Ebool_2E_7E_2E1-{F}(V9,V10), P_s-{F}(V0,V10,V11) | p-{T}(V11), p-{T}(V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #22: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Emin_2E_3D_3D_3E_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), p-{F}(V13) | pppp2-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #23: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), P_c_2Emin_2E_3D_3D_3E_2E2-{F}(V10,V11,V12), P_s-{F}(V0,V12,V13), pppp2-{F}(V8,V9) | p-{T}(V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #24: input, references = 3, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), pppp2-{F}(V8,V9), p-{F}(V10) | p-{T}(V11)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #25: input, references = 4, size of lhs = 10:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11) | pppp2-{T}(V8,V9), p-{T}(V10)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #26: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V0,V8,V10), P_s-{F}(V0,V9,V11), p-{F}(V11) | pppp2-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #27: input, references = 4, size of lhs = 14:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V8,V9,V11), P_s-{F}(V8,V10,V12), P_c_2Emin_2E_3D_2E2-{F}(V11,V12,V13), P_s-{F}(V0,V13,V14), p-{F}(V14), V11 == V12 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #28: input, references = 4, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_s-{F}(V8,V9,V12), P_s-{F}(V8,V10,V12), P_c_2Emin_2E_3D_2E2-{F}(V12,V12,V13), P_s-{F}(V0,V13,V14) | p-{T}(V14)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #29: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), P_c_2Ebool_2E_21_2E1-{F}(V11,V12), P_s-{F}(V0,V12,V13), p-{F}(V13) | pppp3-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #30: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), P_c_2Ebool_2E_21_2E1-{F}(V11,V12), P_s-{F}(V0,V12,V13), pppp3-{F}(V8,V9) | p-{T}(V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #31: input, references = 3, size of lhs = 14:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), pppp3-{F}(V8,V9), P_s-{F}(V8,V12,V13), P_app_2E2-{F}(V11,V13,V14), P_s-{F}(V0,V14,V15) | p-{T}(V15)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #32: input, references = 3, size of lhs = 10:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11) | pppp3-{T}(V8,V9), pppp13-{T}(V8,V0,V11)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #33: input, references = 3, size of lhs = 1:
% 3.13/3.35 pppp13-{F}(V0,V1,V2) | EXISTS V3: pppp10-{T}(V0,V1,V2,V3)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #34: input, references = 3, size of lhs = 5:
% 3.13/3.35 pppp10-{F}(V0,V1,V2,V3), P_s-{F}(V0,V3,V4), P_app_2E2-{F}(V2,V4,V5), P_s-{F}(V1,V5,V6), p-{F}(V6) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #35: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), P_c_2Ebool_2E_3F_2E1-{F}(V11,V12), P_s-{F}(V0,V12,V13), p-{F}(V13) | pppp4-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #36: input, references = 3, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), P_c_2Ebool_2E_3F_2E1-{F}(V11,V12), P_s-{F}(V0,V12,V13), pppp4-{F}(V8,V9) | p-{T}(V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #37: input, references = 3, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), pppp4-{F}(V8,V9) | EXISTS V12: pppp11-{T}(V8,V0,V11,V12)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #38: input, references = 3, size of lhs = 14:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V8,V0,V10), P_s-{F}(V10,V9,V11), P_s-{F}(V8,V12,V13), P_app_2E2-{F}(V11,V13,V14), P_s-{F}(V0,V14,V15), p-{F}(V15) | pppp4-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #39: input, references = 3, size of lhs = 4:
% 3.13/3.35 pppp11-{F}(V0,V1,V2,V3), P_s-{F}(V0,V3,V4), P_app_2E2-{F}(V2,V4,V5), P_s-{F}(V1,V5,V6) | p-{T}(V6)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #40: input, references = 3, size of lhs = 19:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_s-{F}(V0,V12,V14), P_app_2E2-{F}(V11,V14,V15), P_s-{F}(V8,V15,V16), P_s-{F}(V0,V13,V17), P_app_2E2-{F}(V16,V17,V18), P_s-{F}(V0,V18,V19), pppp5-{F}(V12,V13) | p-{T}(V19)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #41: input, references = 3, size of lhs = 19:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_s-{F}(V0,V12,V14), P_app_2E2-{F}(V11,V14,V15), P_s-{F}(V8,V15,V16), P_s-{F}(V0,V13,V17), P_app_2E2-{F}(V16,V17,V18), P_s-{F}(V0,V18,V19), p-{F}(V19) | pppp5-{T}(V12,V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #42: input, references = 3, size of lhs = 15:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_s-{F}(V0,V12,V14), P_s-{F}(V0,V13,V15), pppp5-{F}(V12,V13) | p-{T}(V14)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #43: input, references = 3, size of lhs = 15:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_s-{F}(V0,V12,V14), P_s-{F}(V0,V13,V15), pppp5-{F}(V12,V13) | p-{T}(V15)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #44: input, references = 3, size of lhs = 16:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_s-{F}(V0,V12,V14), P_s-{F}(V0,V13,V15), p-{F}(V14), p-{F}(V15) | pppp5-{T}(V12,V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #45: input, references = 3, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_s-{F}(V0,V14,V16), P_app_2E2-{F}(V13,V16,V17), P_s-{F}(V8,V17,V18), P_s-{F}(V0,V15,V19), P_app_2E2-{F}(V18,V19,V20), P_s-{F}(V0,V20,V21), pppp6-{F}(V14,V15) | p-{T}(V21)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #46: input, references = 3, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_s-{F}(V0,V14,V16), P_app_2E2-{F}(V13,V16,V17), P_s-{F}(V8,V17,V18), P_s-{F}(V0,V15,V19), P_app_2E2-{F}(V18,V19,V20), P_s-{F}(V0,V20,V21), p-{F}(V21) | pppp6-{T}(V14,V15)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #47: input, references = 3, size of lhs = 17:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_s-{F}(V0,V14,V16), P_s-{F}(V0,V15,V17), pppp6-{F}(V14,V15) | p-{T}(V16), p-{T}(V17)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #48: input, references = 3, size of lhs = 17:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_s-{F}(V0,V14,V16), P_s-{F}(V0,V15,V17), p-{F}(V16) | pppp6-{T}(V14,V15)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #49: input, references = 3, size of lhs = 17:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_s-{F}(V0,V14,V16), P_s-{F}(V0,V15,V17), p-{F}(V17) | pppp6-{T}(V14,V15)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #50: input, references = 3, size of lhs = 19:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_s-{F}(V0,V16,V17), P_app_2E2-{F}(V15,V17,V18), P_s-{F}(V0,V18,V19) | p-{T}(V17), p-{T}(V19)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #51: input, references = 3, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_s-{F}(V0,V16,V17), P_app_2E2-{F}(V15,V17,V18), P_s-{F}(V0,V18,V19), p-{F}(V17), p-{F}(V19) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #52: input, references = 3, size of lhs = 25:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_s-{F}(V0,V18,V20), P_app_2E2-{F}(V17,V20,V21), P_s-{F}(V8,V21,V22), P_s-{F}(V0,V19,V23), P_app_2E2-{F}(V22,V23,V24), P_s-{F}(V0,V24,V25), pppp7-{F}(V18,V19) | p-{T}(V25)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #53: input, references = 3, size of lhs = 25:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_s-{F}(V0,V18,V20), P_app_2E2-{F}(V17,V20,V21), P_s-{F}(V8,V21,V22), P_s-{F}(V0,V19,V23), P_app_2E2-{F}(V22,V23,V24), P_s-{F}(V0,V24,V25), p-{F}(V25) | pppp7-{T}(V18,V19)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #54: input, references = 3, size of lhs = 22:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_s-{F}(V0,V18,V20), P_s-{F}(V0,V19,V21), pppp7-{F}(V18,V19), p-{F}(V20) | p-{T}(V21)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #55: input, references = 3, size of lhs = 20:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_s-{F}(V0,V18,V20), P_s-{F}(V0,V19,V21) | pppp7-{T}(V18,V19), p-{T}(V20)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #56: input, references = 3, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_s-{F}(V0,V18,V20), P_s-{F}(V0,V19,V21), p-{F}(V21) | pppp7-{T}(V18,V19)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #57: input, references = 3, size of lhs = 28:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_s-{F}(V19,V20,V23), P_s-{F}(V19,V21,V23), P_tyop_2Emin_2Efun-{F}(V19,V0,V24), P_tyop_2Emin_2Efun-{F}(V19,V24,V25), P_s-{F}(V25,V18,V26), P_app_2E2-{F}(V26,V23,V27), P_s-{F}(V24,V27,V28), P_app_2E2-{F}(V28,V23,V29), P_s-{F}(V0,V29,V30) | p-{T}(V30)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #58: input, references = 3, size of lhs = 30:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_s-{F}(V19,V20,V22), P_s-{F}(V19,V21,V23), P_tyop_2Emin_2Efun-{F}(V19,V0,V24), P_tyop_2Emin_2Efun-{F}(V19,V24,V25), P_s-{F}(V25,V18,V26), P_app_2E2-{F}(V26,V22,V27), P_s-{F}(V24,V27,V28), P_app_2E2-{F}(V28,V23,V29), P_s-{F}(V0,V29,V30), p-{F}(V30), V22 == V23 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #59: input, references = 3, size of lhs = 29:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_tyop_2Emin_2Efun-{F}(V20,V0,V22), P_s-{F}(V22,V21,V23), P_c_2Ebool_2E_21_2E1-{F}(V23,V24), P_s-{F}(V0,V24,V25), P_tyop_2Emin_2Efun-{F}(V22,V0,V26), P_s-{F}(V26,V19,V27), P_app_2E2-{F}(V27,V23,V28), P_s-{F}(V0,V28,V29), V25 == V29 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #60: input, references = 3, size of lhs = 30:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_c_2Ebool_2E_3F_2E0-{F}(V20), P_tyop_2Emin_2Efun-{F}(V21,V0,V23), P_s-{F}(V23,V22,V24), P_c_2Ebool_2E_3F_2E1-{F}(V24,V25), P_s-{F}(V0,V25,V26), P_tyop_2Emin_2Efun-{F}(V23,V0,V27), P_s-{F}(V27,V20,V28), P_app_2E2-{F}(V28,V24,V29), P_s-{F}(V0,V29,V30), V26 == V30 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #61: input, references = 3, size of lhs = 22:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_c_2Ebool_2E_3F_2E0-{F}(V20), p-{F}(V2) | pppp8-{T}()
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #62: input, references = 3, size of lhs = 22:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_c_2Ebool_2E_3F_2E0-{F}(V20), pppp8-{F}() | p-{T}(V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #63: input, references = 3, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_c_2Ebool_2E_3F_2E0-{F}(V20) | pppp8-{T}(), pppp14-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #64: input, references = 3, size of lhs = 1:
% 3.13/3.35 pppp14-{F}(V0) | EXISTS V1: pppp12-{T}(V0,V1)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #65: input, references = 3, size of lhs = 2:
% 3.13/3.35 pppp12-{F}(V0,V1), P_s-{F}(V0,V1,V2) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #66: input, references = 5, size of lhs = 22:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_s-{F}(V8,V14,V15), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V16), P_s-{F}(V9,V16,V17), P_c_2Emin_2E_3D_2E0-{F}(V18), P_c_2Ebool_2E_21_2E0-{F}(V19), P_c_2Ebool_2E_3F_2E0-{F}(V20), p-{F}(V2) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #67: input, references = 16, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_s-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #68: input, references = 3, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_app_2E2-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #69: input, references = 5, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_tyop_2Emin_2Efun-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #70: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_tyop_2Emin_2Ebool-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #71: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2ET_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #72: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2EF_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #73: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_combin_i_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #74: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_combin_k_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #75: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_combin_s_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #76: input, references = 3, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_2Ebool_2E_2F_5C_2E2-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #77: input, references = 3, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_2Ebool_2E_5C_2F_2E2-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #78: input, references = 3, size of lhs = 1:
% 3.13/3.35 #-{F} V0 | EXISTS V1: P_c_2Ebool_2E_7E_2E1-{T}(V0,V1)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #79: input, references = 3, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_2Emin_2E_3D_3D_3E_2E2-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #80: input, references = 3, size of lhs = 2:
% 3.13/3.35 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_2Emin_2E_3D_2E2-{T}(V0,V1,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #81: input, references = 3, size of lhs = 1:
% 3.13/3.35 #-{F} V0 | EXISTS V1: P_c_2Ebool_2E_21_2E1-{T}(V0,V1)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #82: input, references = 3, size of lhs = 1:
% 3.13/3.35 #-{F} V0 | EXISTS V1: P_c_2Ebool_2E_3F_2E1-{T}(V0,V1)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #83: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2E_2F_5C_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #84: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2E_5C_2F_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #85: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2E_7E_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #86: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Emin_2E_3D_3D_3E_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #87: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Emin_2E_3D_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #88: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2E_21_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #89: input, references = 4, size of lhs = 0:
% 3.13/3.35 FALSE | EXISTS V0: P_c_2Ebool_2E_3F_2E0-{T}(V0)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 number of initial rules = 90
% 3.13/3.35
% 3.13/3.35 Simplifiers:
% 3.13/3.35 #90: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_s-{F}(V0,V1,V2), P_s-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #91: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_app_2E2-{F}(V0,V1,V2), P_app_2E2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #92: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_tyop_2Emin_2Efun-{F}(V0,V1,V2), P_tyop_2Emin_2Efun-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #93: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_tyop_2Emin_2Ebool-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #94: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2ET_2E0-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #95: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2EF_2E0-{F}(V0), P_c_2Ebool_2EF_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #96: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_i_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #97: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_combin_k_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #98: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_combin_s_2E0-{F}(V0), P_combin_s_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #99: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_2F_5C_2E2-{F}(V0,V1,V2), P_c_2Ebool_2E_2F_5C_2E2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #100: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_5C_2F_2E2-{F}(V0,V1,V2), P_c_2Ebool_2E_5C_2F_2E2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #101: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_7E_2E1-{F}(V0,V1), P_c_2Ebool_2E_7E_2E1-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #102: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Emin_2E_3D_3D_3E_2E2-{F}(V0,V1,V2), P_c_2Emin_2E_3D_3D_3E_2E2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #103: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Emin_2E_3D_2E2-{F}(V0,V1,V2), P_c_2Emin_2E_3D_2E2-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #104: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_21_2E1-{F}(V0,V1), P_c_2Ebool_2E_21_2E1-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #105: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_3F_2E1-{F}(V0,V1), P_c_2Ebool_2E_3F_2E1-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #106: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_2F_5C_2E0-{F}(V0), P_c_2Ebool_2E_2F_5C_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #107: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_5C_2F_2E0-{F}(V0), P_c_2Ebool_2E_5C_2F_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #108: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_7E_2E0-{F}(V0), P_c_2Ebool_2E_7E_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #109: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V0), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #110: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Emin_2E_3D_2E0-{F}(V0), P_c_2Emin_2E_3D_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #111: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_21_2E0-{F}(V0), P_c_2Ebool_2E_21_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #112: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 P_c_2Ebool_2E_3F_2E0-{F}(V0), P_c_2Ebool_2E_3F_2E0-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #113: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp9-{F}(V0,V1,V2,V3,V4), pppp9-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #114: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #115: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp10-{F}(V0,V1,V2,V3), pppp10-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #116: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #117: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp11-{F}(V0,V1,V2,V3), pppp11-{F}(V4,V5,V6,V7), V1 == V5 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #118: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp12-{F}(V0,V1), pppp12-{F}(V0,V3), V1 == V3 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #119: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp12-{F}(V0,V1), pppp12-{F}(V2,V3), V0 == V2 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #120: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp13-{F}(V0,V1,V2), pppp13-{F}(V3,V4,V5), V1 == V4 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #121: unsound, references = 3, size of lhs = 3:
% 3.13/3.35 pppp14-{F}(V0), pppp14-{F}(V1), V0 == V1 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 number of simplifiers = 32
% 3.13/3.35
% 3.13/3.35 Learnt:
% 3.13/3.35 #125: exists( #67, #122 ), references = 1, size of lhs = 3:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V1) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #129: exists( #67, #20 ), references = 2, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_combin_k_2E0-{F}(V5), P_combin_s_2E0-{F}(V6), p-{F}(V7), p-{F}(V8), P_s-{F}(V0,V9,V8), P_c_2Ebool_2E_7E_2E1-{F}(V8,V10), P_s-{F}(V0,V10,V7) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #133: exists( #67, #27 ), references = 1, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_combin_k_2E0-{F}(V5), P_combin_s_2E0-{F}(V6), p-{F}(V7), P_s-{F}(V0,V8,V7), P_c_2Emin_2E_3D_2E2-{F}(V9,V10,V8), V9 == V10, P_s-{F}(V11,V12,V9), P_s-{F}(V11,V13,V10) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #137: exists( #67, #7 ), references = 1, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_tyop_2Emin_2Efun-{F}(V5,V5,V6), P_s-{F}(V6,V4,V7), P_s-{F}(V5,V8,V9), P_app_2E2-{F}(V7,V9,V10), P_s-{F}(V5,V10,V11), V11 == V9 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #138: exists( #67, #8 ), references = 1, size of lhs = 16:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_combin_k_2E0-{F}(V5), P_s-{F}(V6,V5,V7), P_tyop_2Emin_2Efun-{F}(V8,V9,V6), P_tyop_2Emin_2Efun-{F}(V10,V8,V9), P_s-{F}(V8,V11,V12), P_app_2E2-{F}(V7,V12,V13), P_s-{F}(V9,V13,V14), P_s-{F}(V10,V15,V16), P_app_2E2-{F}(V14,V16,V17), P_s-{F}(V8,V17,V18), V18 == V12 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #139: exists( #67, #9 ), references = 1, size of lhs = 30:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_combin_k_2E0-{F}(V5), P_combin_s_2E0-{F}(V6), P_s-{F}(V7,V6,V8), P_app_2E2-{F}(V8,V9,V10), P_s-{F}(V11,V12,V9), P_tyop_2Emin_2Efun-{F}(V11,V13,V7), P_s-{F}(V13,V10,V14), P_tyop_2Emin_2Efun-{F}(V15,V16,V11), P_tyop_2Emin_2Efun-{F}(V15,V17,V18), P_tyop_2Emin_2Efun-{F}(V19,V17,V16), P_tyop_2Emin_2Efun-{F}(V15,V19,V20), P_tyop_2Emin_2Efun-{F}(V20,V18,V13), P_s-{F}(V20,V21,V22), P_app_2E2-{F}(V14,V22,V23), P_s-{F}(V18,V23,V24), P_s-{F}(V15,V25,V26), P_app_2E2-{F}(V24,V26,V27), P_s-{F}(V17,V27,V28), P_app_2E2-{F}(V9,V26,V29), P_s-{F}(V16,V29,V30), P_app_2E2-{F}(V22,V26,V31), P_s-{F}(V19,V31,V32), P_app_2E2-{F}(V30,V32,V33), P_s-{F}(V17,V33,V34), V28 == V34 | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #141: exists( #67, #6 ), references = 2, size of lhs = 6:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V4,V5), V5 == V2 | P_s-{T}(V0,V3,V5)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #165: mergings( V8 == V22, V9 == V23, V3 == V4, V14 == V15, V4 == V10, V15 == V18, V10 == V19, V18 == V20, V5 == V11, V6 == V12, V7 == V13; #151 ), references = 1, size of lhs = 13:
% 3.13/3.35 p-{F}(V0), p-{F}(V1), P_combin_i_2E0-{F}(V2), P_combin_k_2E0-{F}(V3), P_combin_s_2E0-{F}(V4), P_tyop_2Emin_2Ebool-{F}(V5), P_c_2Ebool_2ET_2E0-{F}(V6), P_s-{F}(V5,V6,V7), P_c_2Ebool_2EF_2E0-{F}(V8), P_c_2Ebool_2E_2F_5C_2E2-{F}(V0,V1,V8), P_s-{F}(V5,V9,V0), P_s-{F}(V5,V10,V1), #-{F} V11 | P_s-{T}(V5,V11,V7)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #181: mergings( V8 == V28, V9 == V29, V3 == V4, V10 == V11, V4 == V14, V11 == V15, V14 == V20, V15 == V21, V16 == V22, V5 == V17, V17 == V23, V6 == V18, V18 == V24, V7 == V19, V19 == V25; #153 ), references = 1, size of lhs = 15:
% 3.13/3.35 p-{F}(V0), p-{F}(V1), P_tyop_2Emin_2Ebool-{F}(V2), P_c_2Ebool_2ET_2E0-{F}(V3), P_s-{F}(V2,V3,V4), P_c_2Ebool_2EF_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E2-{F}(V0,V1,V5), P_combin_i_2E0-{F}(V6), P_combin_k_2E0-{F}(V7), P_combin_s_2E0-{F}(V8), p-{F}(V9), P_s-{F}(V2,V10,V9), P_c_2Ebool_2E_7E_2E1-{F}(V9,V11), P_s-{F}(V2,V12,V0), P_s-{F}(V2,V13,V1) | P_s-{T}(V2,V11,V4)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #193: exists( #67, #189 ), references = 1, size of lhs = 13:
% 3.13/3.35 P_c_2Ebool_2ET_2E0-{F}(V0), P_c_2Ebool_2EF_2E0-{F}(V1), P_combin_i_2E0-{F}(V2), P_combin_k_2E0-{F}(V3), P_combin_s_2E0-{F}(V4), P_tyop_2Emin_2Ebool-{F}(V5), P_s-{F}(V5,V0,V6), P_s-{F}(V5,V1,V7), p-{F}(V8), P_s-{F}(V5,V9,V8), P_c_2Emin_2E_3D_2E2-{F}(V10,V10,V11), P_s-{F}(V12,V13,V10), P_s-{F}(V12,V14,V10) | P_s-{T}(V5,V11,V8)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #230: exists( #67, #66 ), references = 2, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_s-{F}(V9,V10,V11), P_c_2Ebool_2E_5C_2F_2E0-{F}(V12), P_s-{F}(V9,V12,V13), P_c_2Ebool_2E_7E_2E0-{F}(V14), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V15), P_s-{F}(V9,V15,V16), P_c_2Emin_2E_3D_2E0-{F}(V17), P_c_2Ebool_2E_21_2E0-{F}(V18), P_c_2Ebool_2E_3F_2E0-{F}(V19) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #262: mergings( V0 == V12; #258 ), references = 1, size of lhs = 14:
% 3.13/3.35 P_c_2Ebool_2ET_2E0-{F}(V0), P_c_2Ebool_2EF_2E0-{F}(V1), P_combin_i_2E0-{F}(V2), P_combin_k_2E0-{F}(V3), P_combin_s_2E0-{F}(V4), P_tyop_2Emin_2Ebool-{F}(V5), P_s-{F}(V5,V0,V6), P_s-{F}(V5,V1,V7), p-{F}(V8), P_s-{F}(V5,V9,V8), P_s-{F}(V5,V10,V11), V11 == V8, P_s-{F}(V5,V12,V11), P_s-{F}(V5,V13,V14) | pppp2-{T}(V10,V13)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #268: mergings( V0 == V12, V1 == V13, V2 == V14, V3 == V15, V4 == V9; #259 ), references = 1, size of lhs = 10:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_tyop_2Emin_2Ebool-{F}(V3), P_c_2Ebool_2ET_2E0-{F}(V4), P_s-{F}(V3,V4,V5), P_c_2Ebool_2EF_2E0-{F}(V6), P_s-{F}(V3,V6,V7), P_s-{F}(V3,V8,V7), P_s-{F}(V3,V9,V10) | pppp2-{T}(V8,V9)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #303: exists( #67, #230 ), references = 1, size of lhs = 20:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_c_2Ebool_2E_5C_2F_2E0-{F}(V11), P_s-{F}(V9,V11,V12), P_c_2Ebool_2E_7E_2E0-{F}(V13), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V14), P_s-{F}(V9,V14,V15), P_c_2Emin_2E_3D_2E0-{F}(V16), P_c_2Ebool_2E_21_2E0-{F}(V17), P_c_2Ebool_2E_3F_2E0-{F}(V18) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #304: exists( #67, #66 ), references = 1, size of lhs = 21:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_c_2Ebool_2E_5C_2F_2E0-{F}(V11), P_s-{F}(V9,V11,V12), P_c_2Ebool_2E_7E_2E0-{F}(V13), P_s-{F}(V8,V13,V14), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V15), P_s-{F}(V9,V15,V16), P_c_2Emin_2E_3D_2E0-{F}(V17), P_c_2Ebool_2E_21_2E0-{F}(V18), P_c_2Ebool_2E_3F_2E0-{F}(V19) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #307: exists( #67, #301 ), references = 1, size of lhs = 19:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_c_2Ebool_2E_5C_2F_2E0-{F}(V11), P_c_2Ebool_2E_7E_2E0-{F}(V12), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V13), P_s-{F}(V9,V13,V14), P_c_2Emin_2E_3D_2E0-{F}(V15), P_c_2Ebool_2E_21_2E0-{F}(V16), P_c_2Ebool_2E_3F_2E0-{F}(V17) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #308: exists( #67, #302 ), references = 1, size of lhs = 20:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_c_2Ebool_2E_5C_2F_2E0-{F}(V11), P_c_2Ebool_2E_7E_2E0-{F}(V12), P_s-{F}(V8,V12,V13), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V14), P_s-{F}(V9,V14,V15), P_c_2Emin_2E_3D_2E0-{F}(V16), P_c_2Ebool_2E_21_2E0-{F}(V17), P_c_2Ebool_2E_3F_2E0-{F}(V18) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #311: exists( #67, #305 ), references = 1, size of lhs = 18:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_tyop_2Emin_2Efun-{F}(V0,V8,V9), P_c_2Ebool_2E_2F_5C_2E0-{F}(V10), P_c_2Ebool_2E_5C_2F_2E0-{F}(V11), P_c_2Ebool_2E_7E_2E0-{F}(V12), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V13), P_c_2Emin_2E_3D_2E0-{F}(V14), P_c_2Ebool_2E_21_2E0-{F}(V15), P_c_2Ebool_2E_3F_2E0-{F}(V16) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #313: exists( #69, #309 ), references = 1, size of lhs = 17:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_tyop_2Emin_2Efun-{F}(V0,V0,V8), P_c_2Ebool_2E_2F_5C_2E0-{F}(V9), P_c_2Ebool_2E_5C_2F_2E0-{F}(V10), P_c_2Ebool_2E_7E_2E0-{F}(V11), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V12), P_c_2Emin_2E_3D_2E0-{F}(V13), P_c_2Ebool_2E_21_2E0-{F}(V14), P_c_2Ebool_2E_3F_2E0-{F}(V15) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #315: exists( #69, #312 ), references = 2, size of lhs = 16:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_s-{F}(V0,V3,V4), P_combin_i_2E0-{F}(V5), P_combin_k_2E0-{F}(V6), P_combin_s_2E0-{F}(V7), P_c_2Ebool_2E_2F_5C_2E0-{F}(V8), P_c_2Ebool_2E_5C_2F_2E0-{F}(V9), P_c_2Ebool_2E_7E_2E0-{F}(V10), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V11), P_c_2Emin_2E_3D_2E0-{F}(V12), P_c_2Ebool_2E_21_2E0-{F}(V13), P_c_2Ebool_2E_3F_2E0-{F}(V14) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #320: mergings( V3 == V5, V4 == V6; #317 ), references = 3, size of lhs = 16:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_s-{F}(V0,V1,V2), p-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3), P_combin_i_2E0-{F}(V4), P_combin_k_2E0-{F}(V5), P_combin_s_2E0-{F}(V6), P_c_2Ebool_2E_2F_5C_2E0-{F}(V7), P_c_2Ebool_2E_5C_2F_2E0-{F}(V8), P_c_2Ebool_2E_7E_2E0-{F}(V9), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V10), P_c_2Emin_2E_3D_2E0-{F}(V11), P_c_2Ebool_2E_21_2E0-{F}(V12), P_c_2Ebool_2E_3F_2E0-{F}(V13), #-{F} V14 | P_s-{T}(V0,V14,V2)
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #328: mergings( V3 == V14; #325 ), references = 1, size of lhs = 13:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_c_2Ebool_2E_7E_2E0-{F}(V5), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V6), P_c_2Emin_2E_3D_2E0-{F}(V7), P_c_2Ebool_2E_21_2E0-{F}(V8), P_c_2Ebool_2E_3F_2E0-{F}(V9), P_tyop_2Emin_2Ebool-{F}(V10), P_c_2Ebool_2ET_2E0-{F}(V11), P_c_2Ebool_2EF_2E0-{F}(V12) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #340: mergings( V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20, V10 == V21, V11 == V22, V12 == V23, V13 == V24; #326 ), references = 1, size of lhs = 13:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7), P_c_2Ebool_2E_7E_2E0-{F}(V8), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V9), P_c_2Emin_2E_3D_2E0-{F}(V10), P_c_2Ebool_2E_21_2E0-{F}(V11), P_c_2Ebool_2E_3F_2E0-{F}(V12) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #344: mergings( V1 == V13; #341 ), references = 1, size of lhs = 12:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_c_2Ebool_2E_7E_2E0-{F}(V5), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V6), P_c_2Emin_2E_3D_2E0-{F}(V7), P_c_2Ebool_2E_21_2E0-{F}(V8), P_tyop_2Emin_2Ebool-{F}(V9), P_c_2Ebool_2ET_2E0-{F}(V10), P_c_2Ebool_2EF_2E0-{F}(V11) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #355: mergings( V1 == V13, V2 == V14, V3 == V15, V4 == V16, V5 == V17, V6 == V18, V7 == V19, V8 == V20, V9 == V21, V10 == V22; #342 ), references = 1, size of lhs = 12:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7), P_c_2Ebool_2E_7E_2E0-{F}(V8), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V9), P_c_2Emin_2E_3D_2E0-{F}(V10), P_c_2Ebool_2E_21_2E0-{F}(V11) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #359: mergings( V1 == V12; #356 ), references = 1, size of lhs = 11:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_c_2Ebool_2E_7E_2E0-{F}(V5), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V6), P_c_2Emin_2E_3D_2E0-{F}(V7), P_tyop_2Emin_2Ebool-{F}(V8), P_c_2Ebool_2ET_2E0-{F}(V9), P_c_2Ebool_2EF_2E0-{F}(V10) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #369: mergings( V1 == V12, V2 == V13, V3 == V14, V4 == V15, V5 == V16, V6 == V17, V7 == V18, V8 == V19, V9 == V20; #357 ), references = 1, size of lhs = 11:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7), P_c_2Ebool_2E_7E_2E0-{F}(V8), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V9), P_c_2Emin_2E_3D_2E0-{F}(V10) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #373: mergings( V1 == V11; #370 ), references = 1, size of lhs = 10:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_c_2Ebool_2E_7E_2E0-{F}(V5), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V6), P_tyop_2Emin_2Ebool-{F}(V7), P_c_2Ebool_2ET_2E0-{F}(V8), P_c_2Ebool_2EF_2E0-{F}(V9) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #382: mergings( V1 == V11, V2 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17, V8 == V18; #371 ), references = 1, size of lhs = 10:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7), P_c_2Ebool_2E_7E_2E0-{F}(V8), P_c_2Emin_2E_3D_3D_3E_2E0-{F}(V9) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #386: mergings( V1 == V10; #383 ), references = 1, size of lhs = 9:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_c_2Ebool_2E_7E_2E0-{F}(V5), P_tyop_2Emin_2Ebool-{F}(V6), P_c_2Ebool_2ET_2E0-{F}(V7), P_c_2Ebool_2EF_2E0-{F}(V8) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #394: mergings( V1 == V10, V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V15, V7 == V16; #384 ), references = 1, size of lhs = 9:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7), P_c_2Ebool_2E_7E_2E0-{F}(V8) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #398: mergings( V1 == V9; #395 ), references = 1, size of lhs = 8:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_c_2Ebool_2E_5C_2F_2E0-{F}(V4), P_tyop_2Emin_2Ebool-{F}(V5), P_c_2Ebool_2ET_2E0-{F}(V6), P_c_2Ebool_2EF_2E0-{F}(V7) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #405: mergings( V1 == V9, V2 == V10, V3 == V11, V4 == V12, V5 == V13, V6 == V14; #396 ), references = 1, size of lhs = 8:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2), P_combin_i_2E0-{F}(V3), P_combin_k_2E0-{F}(V4), P_combin_s_2E0-{F}(V5), P_c_2Ebool_2E_2F_5C_2E0-{F}(V6), P_c_2Ebool_2E_5C_2F_2E0-{F}(V7) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #409: mergings( V1 == V8; #406 ), references = 1, size of lhs = 7:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_c_2Ebool_2E_2F_5C_2E0-{F}(V3), P_tyop_2Emin_2Ebool-{F}(V4), P_c_2Ebool_2ET_2E0-{F}(V5), P_c_2Ebool_2EF_2E0-{F}(V6) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #413: mergings( V1 == V7; #410 ), references = 1, size of lhs = 6:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_combin_s_2E0-{F}(V2), P_tyop_2Emin_2Ebool-{F}(V3), P_c_2Ebool_2ET_2E0-{F}(V4), P_c_2Ebool_2EF_2E0-{F}(V5) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #417: mergings( V1 == V6; #414 ), references = 1, size of lhs = 5:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_combin_k_2E0-{F}(V1), P_tyop_2Emin_2Ebool-{F}(V2), P_c_2Ebool_2ET_2E0-{F}(V3), P_c_2Ebool_2EF_2E0-{F}(V4) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #421: mergings( V1 == V5; #418 ), references = 1, size of lhs = 4:
% 3.13/3.35 P_combin_i_2E0-{F}(V0), P_tyop_2Emin_2Ebool-{F}(V1), P_c_2Ebool_2ET_2E0-{F}(V2), P_c_2Ebool_2EF_2E0-{F}(V3) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #425: mergings( V1 == V4; #422 ), references = 1, size of lhs = 3:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1), P_c_2Ebool_2EF_2E0-{F}(V2) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #428: exists( #72, #422 ), references = 1, size of lhs = 2:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0), P_c_2Ebool_2ET_2E0-{F}(V1) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #431: exists( #71, #426 ), references = 1, size of lhs = 1:
% 3.13/3.35 P_tyop_2Emin_2Ebool-{F}(V0) | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 #434: exists( #70, #429 ), references = 1, size of lhs = 0:
% 3.13/3.35 FALSE | FALSE
% 3.13/3.35 (used 0 times, uses = {})
% 3.13/3.35
% 3.13/3.35 number of learnt formulas = 41
% 3.13/3.35
% 3.13/3.35
% 3.13/3.35 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.13/3.35
% 3.13/3.35 randbase = 1
%------------------------------------------------------------------------------