TSTP Solution File: COL098-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 05:59:09 EDT 2022
% Result : Unsatisfiable 202.02s 202.21s
% Output : Refutation 202.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COL098-1 : TPTP v8.1.0. Released v2.7.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.31 % Computer : n024.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 300
% 0.12/0.31 % DateTime : Fri Jul 22 08:04:26 EDT 2022
% 0.12/0.32 % CPUTime :
% 202.02/202.21 GeoParameters:
% 202.02/202.21
% 202.02/202.21 tptp_input = 1
% 202.02/202.21 tptp_output = 0
% 202.02/202.21 nonempty = 1
% 202.02/202.21 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 202.02/202.21 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 202.02/202.21
% 202.02/202.21
% 202.02/202.21 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 202.02/202.21 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 202.02/202.21
% 202.02/202.21 RuleSystem INPUT:
% 202.02/202.21
% 202.02/202.21 Initial Rules:
% 202.02/202.21 #0: input, references = 3, size of lhs = 2:
% 202.02/202.21 P_combK-{F}(V1), P_combS-{F}(V1) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1: input, references = 3, size of lhs = 3:
% 202.02/202.21 P_combK-{F}(V4), P_combS-{F}(V1), P_comb_app-{F}(V2,V3,V4) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #2: input, references = 3, size of lhs = 3:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V4), P_comb_app-{F}(V2,V3,V4) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #3: input, references = 3, size of lhs = 5:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_comb_app-{F}(V2,V5,V7), P_comb_app-{F}(V3,V4,V7), V2 == V3 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #4: input, references = 3, size of lhs = 5:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_comb_app-{F}(V5,V2,V7), P_comb_app-{F}(V4,V3,V7), V2 == V3 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #5: input, references = 3, size of lhs = 5:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_comb_app-{F}(V4,V3,V6), P_comb_app-{F}(V4,V3,V7), V6 == V7 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #6: input, references = 23, size of lhs = 5:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_pair-{F}(V2,V3,V5), P_trancl-{F}(V4,V6), member-{F}(V5,V4) | member-{T}(V5,V6)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #7: input, references = 6, size of lhs = 3:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_trancl-{F}(V2,V3) | trans-{T}(V3)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #8: input, references = 24, size of lhs = 8:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), trans-{F}(V2), P_pair-{F}(V4,V3,V5), member-{F}(V5,V2), P_pair-{F}(V6,V4,V7), P_pair-{F}(V6,V3,V8), member-{F}(V7,V2) | member-{T}(V8,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #9: input, references = 6, size of lhs = 9:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_pair-{F}(V3,V4,V5), member-{F}(V5,V2), P_pair-{F}(V3,V6,V7), P_sk1-{F}(V3,V6,V4,V8), P_pair-{F}(V6,V8,V9), member-{F}(V7,V2) | member-{T}(V9,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #10: input, references = 12, size of lhs = 9:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_pair-{F}(V3,V4,V5), member-{F}(V5,V2), P_pair-{F}(V3,V6,V7), P_sk1-{F}(V3,V6,V4,V8), P_pair-{F}(V4,V8,V9), member-{F}(V7,V2) | member-{T}(V9,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #11: input, references = 4, size of lhs = 7:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6) | member-{T}(V5,V6)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #12: input, references = 16, size of lhs = 9:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8) | member-{T}(V8,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #13: input, references = 10, size of lhs = 13:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V3,V9,V10), P_sk2-{F}(V9,V11), P_pair-{F}(V9,V11,V12), member-{F}(V10,V2) | member-{T}(V12,V6)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #14: input, references = 4, size of lhs = 13:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V3,V9,V10), P_sk2-{F}(V9,V11), P_pair-{F}(V4,V11,V12), member-{F}(V10,V2) | member-{T}(V12,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #15: input, references = 22, size of lhs = 11:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V3,V9,V10) | member-{T}(V10,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #16: input, references = 19, size of lhs = 15:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V3,V9,V10), P_pair-{F}(V9,V11,V12), P_pair-{F}(V7,V11,V13), member-{F}(V12,V6), member-{F}(V13,V2) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #17: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_combK-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #18: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_combS-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #19: input, references = 3, size of lhs = 2:
% 202.02/202.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_comb_app-{T}(V0,V1,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #20: input, references = 61, size of lhs = 2:
% 202.02/202.21 #-{F} V0, #-{F} V1 | EXISTS V2: P_pair-{T}(V0,V1,V2)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #21: input, references = 8, size of lhs = 1:
% 202.02/202.21 #-{F} V0 | EXISTS V1: P_trancl-{T}(V0,V1)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #22: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_r-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #23: input, references = 5, size of lhs = 3:
% 202.02/202.21 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_sk1-{T}(V0,V1,V2,V3)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #24: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_x-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #25: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_y-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #26: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_z-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #27: input, references = 4, size of lhs = 1:
% 202.02/202.21 #-{F} V0 | EXISTS V1: P_sk2-{T}(V0,V1)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #28: input, references = 4, size of lhs = 0:
% 202.02/202.21 FALSE | EXISTS V0: P_sk3-{T}(V0)
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 number of initial rules = 29
% 202.02/202.21
% 202.02/202.21 Simplifiers:
% 202.02/202.21 #29: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_combK-{F}(V0), P_combK-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #30: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_combS-{F}(V0), P_combS-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #31: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_comb_app-{F}(V0,V1,V2), P_comb_app-{F}(V0,V1,V5), V2 == V5 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #32: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_pair-{F}(V0,V1,V2), P_pair-{F}(V0,V1,V5), V2 == V5 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #33: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_trancl-{F}(V0,V1), P_trancl-{F}(V0,V3), V1 == V3 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #34: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_r-{F}(V0), P_r-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #35: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_sk1-{F}(V0,V1,V2,V3), P_sk1-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #36: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #37: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #38: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #39: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_sk2-{F}(V0,V1), P_sk2-{F}(V0,V3), V1 == V3 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #40: unsound, references = 3, size of lhs = 3:
% 202.02/202.21 P_sk3-{F}(V0), P_sk3-{F}(V1), V0 == V1 | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 number of simplifiers = 12
% 202.02/202.21
% 202.02/202.21 Learnt:
% 202.02/202.21 #65: mergings( V3 == V7, V7 == V13, V13 == V18, V18 == V20, V20 == V22, V4 == V8, V8 == V14, V14 == V19, V19 == V21, V21 == V23, V16 == V17, V17 == V24, V5 == V9, V6 == V10, V9 == V25, V10 == V26, V11 == V27, V12 == V28; #46 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_z-{F}(V6), P_pair-{F}(V4,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V3,V8,V9), P_pair-{F}(V6,V10,V9), P_pair-{F}(V8,V10,V11), P_pair-{F}(V12,V13,V9), P_pair-{F}(V14,V12,V7), P_pair-{F}(V14,V13,V15), P_pair-{F}(V16,V17,V15), P_pair-{F}(V16,V18,V15), P_sk1-{F}(V16,V18,V17,V19), P_pair-{F}(V18,V19,V11), P_pair-{F}(V20,V21,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #81: mergings( V3 == V5, V5 == V8, V8 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V9, V9 == V14, V14 == V16, V16 == V18, V11 == V12, V12 == V21, V7 == V22, V20 == V23; #66 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_pair-{F}(V6,V9,V8), P_pair-{F}(V7,V9,V10), P_pair-{F}(V6,V11,V8), P_pair-{F}(V4,V11,V12), P_pair-{F}(V13,V14,V12), P_pair-{F}(V13,V15,V12), P_sk1-{F}(V13,V15,V14,V16), P_pair-{F}(V15,V16,V10), P_pair-{F}(V17,V18,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #95: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V10 == V11, V11 == V19; #82 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_sk3-{F}(V6), P_pair-{F}(V6,V6,V7), P_pair-{F}(V4,V6,V8), P_pair-{F}(V9,V10,V8), P_pair-{F}(V9,V11,V8), P_sk1-{F}(V9,V11,V10,V12), P_pair-{F}(V11,V12,V7), P_pair-{F}(V13,V14,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #115: mergings( V3 == V9, V9 == V15, V15 == V17, V4 == V10, V10 == V16, V16 == V18, V6 == V21, V20 == V21, V5 == V19, V7 == V11, V8 == V12, V11 == V22, V12 == V23, V13 == V24, V14 == V25; #99 ), references = 1, size of lhs = 13:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V2,V5), P_z-{F}(V6), P_pair-{F}(V4,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V3,V8,V9), P_pair-{F}(V6,V10,V9), P_pair-{F}(V8,V10,V7), P_pair-{F}(V11,V12,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #136: mergings( V3 == V9, V9 == V14, V14 == V16, V16 == V18, V4 == V10, V10 == V15, V15 == V17, V17 == V19, V11 == V21, V5 == V12, V6 == V13, V12 == V22, V13 == V23, V7 == V24, V8 == V25; #120 ), references = 1, size of lhs = 20:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V4,V10,V9), P_sk2-{F}(V10,V11), P_pair-{F}(V10,V11,V12), P_pair-{F}(V6,V13,V9), P_pair-{F}(V8,V13,V14), P_pair-{F}(V15,V16,V9), P_pair-{F}(V17,V18,V9), P_pair-{F}(V19,V17,V12), P_pair-{F}(V19,V18,V14) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #149: mergings( V3 == V6, V6 == V9, V9 == V11, V11 == V13, V4 == V7, V7 == V10, V10 == V12, V12 == V14, V8 == V16, V5 == V19, V18 == V20; #137 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V4,V9,V8), P_sk2-{F}(V9,V10), P_pair-{F}(V9,V10,V11), P_pair-{F}(V6,V12,V8), P_pair-{F}(V7,V12,V13), P_pair-{F}(V14,V15,V8), P_pair-{F}(V16,V17,V8), P_pair-{F}(V18,V16,V11), P_pair-{F}(V18,V17,V13) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #160: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V7 == V15; #150 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V6,V6,V9), P_pair-{F}(V10,V4,V8), P_pair-{F}(V10,V6,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #171: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V7 == V15; #161 ), references = 1, size of lhs = 11:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V4), P_pair-{F}(V6,V6,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #184: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #173 ), references = 1, size of lhs = 9:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V3), P_pair-{F}(V5,V5,V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #196: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #185 ), references = 1, size of lhs = 8:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V3) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #223: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V22, V4 == V8, V8 == V14, V14 == V16, V16 == V23, V18 == V19, V5 == V17, V6 == V19, V17 == V24, V9 == V20, V10 == V21, V20 == V0, V21 == V25, V11 == V26, V12 == V27; #204 ), references = 1, size of lhs = 15:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_trancl-{F}(V3,V2), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_pair-{F}(V5,V4,V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V4,V9,V8), P_sk2-{F}(V9,V10), P_pair-{F}(V9,V10,V11), P_pair-{F}(V7,V5,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #239: mergings( V3 == V7, V7 == V10, V10 == V12, V12 == V17, V4 == V8, V8 == V11, V11 == V13, V13 == V18, V15 == V16, V5 == V14, V6 == V16, V14 == V19, V9 == V21, V20 == V22; #224 ), references = 1, size of lhs = 14:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_trancl-{F}(V3,V2), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V4,V6,V7), P_pair-{F}(V4,V8,V7), P_sk2-{F}(V8,V9), P_pair-{F}(V8,V9,V10), P_pair-{F}(V6,V5,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #253: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V16, V4 == V8, V8 == V10, V10 == V12, V12 == V17, V14 == V15, V5 == V13, V6 == V15, V13 == V18; #240 ), references = 1, size of lhs = 12:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_trancl-{F}(V3,V2), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V6,V5,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #286: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V20, V20 == V25, V25 == V27, V27 == V29, V4 == V8, V8 == V14, V14 == V16, V16 == V21, V21 == V26, V26 == V28, V28 == V30, V17 == V23, V23 == V24, V5 == V9, V6 == V10, V9 == V18, V10 == V19, V18 == V31, V19 == V32, V11 == V33, V12 == V34; #261 ), references = 1, size of lhs = 28:
% 202.02/202.21 trans-{F}(V0), trans-{F}(V1), P_r-{F}(V1), P_trancl-{F}(V1,V0), P_combK-{F}(V2), P_combS-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V4,V10,V9), P_sk2-{F}(V10,V11), P_pair-{F}(V10,V11,V12), P_pair-{F}(V13,V14,V7), P_pair-{F}(V15,V16,V9), P_pair-{F}(V17,V15,V7), P_pair-{F}(V17,V16,V18), P_pair-{F}(V19,V20,V7), P_pair-{F}(V21,V19,V12), P_pair-{F}(V21,V20,V22), P_pair-{F}(V8,V23,V22), P_pair-{F}(V6,V23,V24), P_pair-{F}(V25,V26,V18), P_pair-{F}(V25,V27,V7), P_sk1-{F}(V25,V27,V26,V28), P_pair-{F}(V26,V28,V24) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #320: mergings( V3 == V9, V9 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V26, V26 == V28, V4 == V10, V10 == V16, V16 == V18, V18 == V23, V23 == V25, V25 == V27, V27 == V29, V6 == V19, V19 == V31, V5 == V30, V7 == V11, V8 == V12, V11 == V20, V12 == V21, V20 == V32, V21 == V33, V13 == V34, V14 == V35; #294 ), references = 1, size of lhs = 24:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V4,V10,V9), P_sk2-{F}(V10,V11), P_pair-{F}(V10,V11,V12), P_pair-{F}(V6,V13,V9), P_pair-{F}(V8,V13,V14), P_pair-{F}(V15,V16,V7), P_pair-{F}(V17,V18,V9), P_pair-{F}(V19,V20,V9), P_pair-{F}(V21,V19,V7), P_pair-{F}(V21,V20,V22), P_pair-{F}(V23,V24,V22), P_pair-{F}(V25,V23,V12), P_pair-{F}(V25,V24,V14) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #341: mergings( V3 == V7, V7 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V4 == V8, V8 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V6 == V14, V14 == V24, V5 == V23, V9 == V27, V26 == V28; #321 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V4,V9,V8), P_sk2-{F}(V9,V10), P_pair-{F}(V9,V10,V11), P_pair-{F}(V6,V12,V8), P_pair-{F}(V7,V12,V13), P_pair-{F}(V6,V14,V8), P_pair-{F}(V5,V14,V15), P_pair-{F}(V16,V17,V8), P_pair-{F}(V18,V19,V15), P_pair-{F}(V20,V18,V11), P_pair-{F}(V20,V19,V13) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #360: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V6 == V13, V13 == V23, V5 == V22; #342 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V6,V6,V9), P_pair-{F}(V5,V6,V10), P_pair-{F}(V11,V12,V10), P_pair-{F}(V13,V11,V8), P_pair-{F}(V13,V12,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #379: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V20, V4 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V6 == V13, V13 == V23, V5 == V22; #361 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V6,V6,V9), P_pair-{F}(V10,V5,V8), P_pair-{F}(V10,V6,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #398: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #381 ), references = 1, size of lhs = 12:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V6), P_pair-{F}(V5,V6,V7), P_pair-{F}(V5,V5,V8), P_pair-{F}(V9,V4,V7), P_pair-{F}(V9,V5,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #416: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #399 ), references = 1, size of lhs = 9:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V4), P_pair-{F}(V5,V5,V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #434: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #417 ), references = 1, size of lhs = 8:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V4) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #462: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V22, V4 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V23, V20 == V21, V21 == V27, V5 == V9, V6 == V10, V9 == V0, V10 == V24, V11 == V25, V12 == V26; #443 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_pair-{F}(V4,V3,V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V6,V4,V9), P_pair-{F}(V10,V4,V9), P_pair-{F}(V3,V10,V7), P_pair-{F}(V11,V12,V7), P_pair-{F}(V13,V11,V5), P_pair-{F}(V13,V12,V9), P_pair-{F}(V14,V15,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #478: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V18, V15 == V16, V16 == V22, V7 == V20, V19 == V21; #463 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_pair-{F}(V3,V5,V6), P_trancl-{F}(V0,V7), P_pair-{F}(V5,V4,V8), P_pair-{F}(V9,V4,V8), P_pair-{F}(V3,V9,V6), P_pair-{F}(V3,V10,V6), P_pair-{F}(V4,V10,V8), P_pair-{F}(V11,V12,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #492: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V14 == V15, V15 == V19; #479 ), references = 1, size of lhs = 12:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V5,V4,V7), P_pair-{F}(V4,V5,V7), P_pair-{F}(V8,V9,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #505: mergings( V3 == V9, V9 == V11, V4 == V10, V10 == V12, V14 == V19, V5 == V15, V6 == V16, V7 == V17, V8 == V18; #495 ), references = 1, size of lhs = 13:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_pair-{F}(V4,V5,V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_trancl-{F}(V2,V9), P_pair-{F}(V5,V10,V8), P_pair-{F}(V7,V10,V8), P_pair-{F}(V11,V12,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #514: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9, V11 == V16, V5 == V14, V13 == V15; #506 ), references = 1, size of lhs = 12:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V2,V8), P_pair-{F}(V5,V9,V7), P_pair-{F}(V6,V9,V7), P_pair-{F}(V10,V11,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #530: mergings( V3 == V9, V9 == V11, V11 == V15, V4 == V10, V10 == V12, V12 == V16, V14 == V21, V5 == V17, V6 == V18, V7 == V19, V8 == V20; #518 ), references = 1, size of lhs = 17:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_pair-{F}(V4,V5,V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_trancl-{F}(V0,V9), P_pair-{F}(V7,V10,V8), P_pair-{F}(V5,V10,V11), P_pair-{F}(V12,V13,V8), P_pair-{F}(V14,V15,V8), P_pair-{F}(V16,V14,V8), P_pair-{F}(V16,V15,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #541: mergings( V3 == V6, V6 == V8, V8 == V12, V4 == V7, V7 == V9, V9 == V13, V11 == V18, V5 == V16, V15 == V17; #531 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V6,V9,V7), P_pair-{F}(V5,V9,V10), P_pair-{F}(V11,V12,V7), P_pair-{F}(V13,V14,V7), P_pair-{F}(V15,V13,V7), P_pair-{F}(V15,V14,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #552: mergings( V3 == V6, V6 == V8, V8 == V12, V4 == V7, V7 == V9, V9 == V13, V11 == V19, V5 == V17, V15 == V18; #542 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V6,V9,V7), P_pair-{F}(V10,V9,V7), P_pair-{F}(V5,V10,V7), P_pair-{F}(V11,V12,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #574: mergings( V3 == V6, V4 == V7; #571 ), references = 5, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V0,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V3,V9,V10), member-{F}(V11,V0), member-{F}(V12,V0), P_pair-{F}(V7,V13,V12), P_pair-{F}(V13,V14,V11), P_pair-{F}(V9,V14,V15), member-{F}(V15,V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #591: mergings( V3 == V12, V12 == V14, V14 == V17, V4 == V13, V13 == V15, V15 == V18, V5 == V16, V6 == V19, V24 == V25, V7 == V20, V8 == V21, V10 == V22, V11 == V23; #577 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_trancl-{F}(V0,V1), P_combK-{F}(V2), P_combS-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_pair-{F}(V5,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V4,V9,V10), member-{F}(V10,V0), P_sk2-{F}(V9,V11), P_pair-{F}(V7,V9,V12), member-{F}(V12,V0), member-{F}(V13,V0), member-{F}(V14,V0), P_pair-{F}(V15,V9,V14), P_pair-{F}(V15,V16,V13), P_sk1-{F}(V15,V9,V16,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #618: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V27, V4 == V8, V8 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V28, V12 == V32, V24 == V25, V25 == V26, V5 == V9, V6 == V10, V9 == V17, V10 == V18, V17 == V29, V18 == V30, V11 == V31; #595 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_trancl-{F}(V0,V1), P_combK-{F}(V2), P_combS-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V6,V8,V9), P_pair-{F}(V4,V8,V9), P_sk2-{F}(V8,V10), P_pair-{F}(V11,V12,V9), P_pair-{F}(V13,V11,V7), P_pair-{F}(V13,V12,V14), P_pair-{F}(V15,V8,V14), P_pair-{F}(V15,V16,V14), P_sk1-{F}(V15,V8,V16,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #636: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V20, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V21, V23 == V25, V17 == V18, V18 == V19, V7 == V24; #619 ), references = 1, size of lhs = 17:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_trancl-{F}(V0,V1), P_combK-{F}(V2), P_combS-{F}(V3), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V4,V7,V8), P_sk2-{F}(V7,V9), P_pair-{F}(V6,V10,V8), P_pair-{F}(V5,V10,V11), P_pair-{F}(V12,V7,V11), P_pair-{F}(V12,V13,V11), P_sk1-{F}(V12,V7,V13,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #652: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V19, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V20, V16 == V17, V17 == V18; #637 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_trancl-{F}(V0,V1), P_combK-{F}(V2), P_combS-{F}(V3), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V5,V6,V8), P_pair-{F}(V9,V6,V8), P_pair-{F}(V9,V10,V8), P_sk1-{F}(V9,V6,V10,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #666: mergings( V3 == V7, V7 == V9, V9 == V13, V4 == V8, V8 == V10, V10 == V14, V12 == V19, V5 == V15, V6 == V16; #656 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_pair-{F}(V4,V5,V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_trancl-{F}(V0,V9), P_pair-{F}(V5,V10,V6), P_pair-{F}(V11,V12,V6), P_pair-{F}(V11,V13,V6), P_sk1-{F}(V11,V13,V12,V14), P_pair-{F}(V12,V14,V15), P_pair-{F}(V10,V16,V15), P_pair-{F}(V7,V16,V15), P_pair-{F}(V17,V18,V15) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #687: mergings( V3 == V9, V9 == V11, V11 == V15, V4 == V10, V10 == V12, V12 == V16, V14 == V21, V5 == V17, V6 == V18, V7 == V19, V8 == V20; #674 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_pair-{F}(V4,V5,V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_trancl-{F}(V0,V9), P_pair-{F}(V5,V10,V8), P_pair-{F}(V11,V12,V8), P_pair-{F}(V11,V13,V8), P_sk1-{F}(V11,V13,V12,V14), P_pair-{F}(V12,V14,V15), P_pair-{F}(V10,V16,V15), P_pair-{F}(V7,V16,V15), P_pair-{F}(V17,V18,V15) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #701: mergings( V3 == V9, V9 == V11, V11 == V13, V13 == V17, V4 == V10, V10 == V12, V12 == V14, V14 == V18, V16 == V22, V5 == V0, V6 == V19, V7 == V20, V8 == V21; #675 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_pair-{F}(V4,V3,V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V6,V4,V9), P_pair-{F}(V10,V4,V9), P_pair-{F}(V3,V10,V7), P_pair-{F}(V11,V12,V7), P_pair-{F}(V11,V13,V7), P_sk1-{F}(V11,V13,V12,V14), P_pair-{F}(V12,V14,V9), P_pair-{F}(V15,V16,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #713: mergings( V3 == V6, V6 == V8, V8 == V12, V4 == V7, V7 == V9, V9 == V13, V11 == V18, V5 == V16, V15 == V17; #702 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V5,V9,V7), P_pair-{F}(V10,V11,V7), P_pair-{F}(V10,V12,V7), P_sk1-{F}(V10,V12,V11,V13), P_pair-{F}(V11,V13,V14), P_pair-{F}(V9,V15,V14), P_pair-{F}(V6,V15,V14), P_pair-{F}(V16,V17,V14) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #725: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V14, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V13 == V19, V5 == V17, V16 == V18; #703 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_pair-{F}(V3,V5,V6), P_trancl-{F}(V0,V7), P_pair-{F}(V5,V4,V8), P_pair-{F}(V9,V4,V8), P_pair-{F}(V3,V9,V6), P_pair-{F}(V10,V11,V6), P_pair-{F}(V10,V12,V6), P_sk1-{F}(V10,V12,V11,V13), P_pair-{F}(V11,V13,V8), P_pair-{F}(V14,V15,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #760: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V4 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25, V22 == V23, V23 == V29, V5 == V9, V6 == V10, V9 == V0, V10 == V26, V11 == V27, V12 == V28; #738 ), references = 1, size of lhs = 22:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_pair-{F}(V4,V3,V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V6,V4,V9), P_pair-{F}(V10,V4,V9), P_pair-{F}(V3,V10,V7), P_pair-{F}(V11,V12,V7), P_pair-{F}(V13,V11,V5), P_pair-{F}(V13,V12,V14), P_pair-{F}(V15,V16,V14), P_pair-{F}(V15,V17,V14), P_sk1-{F}(V15,V17,V16,V18), P_pair-{F}(V16,V18,V9), P_pair-{F}(V19,V20,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #781: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24, V4 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V25, V22 == V23, V23 == V29, V5 == V9, V6 == V10, V9 == V0, V10 == V26, V11 == V27, V12 == V28; #739 ), references = 1, size of lhs = 23:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_pair-{F}(V4,V3,V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V3,V9,V7), P_pair-{F}(V9,V4,V10), P_pair-{F}(V6,V11,V10), P_pair-{F}(V4,V11,V12), P_pair-{F}(V13,V14,V7), P_pair-{F}(V15,V13,V5), P_pair-{F}(V15,V14,V12), P_pair-{F}(V16,V17,V12), P_pair-{F}(V16,V18,V12), P_sk1-{F}(V16,V18,V17,V19), P_pair-{F}(V17,V19,V10), P_pair-{F}(V20,V21,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #800: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V17 == V18, V18 == V24, V7 == V22, V21 == V23; #782 ), references = 1, size of lhs = 20:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_pair-{F}(V3,V5,V6), P_trancl-{F}(V0,V7), P_pair-{F}(V5,V4,V8), P_pair-{F}(V9,V4,V8), P_pair-{F}(V3,V9,V6), P_pair-{F}(V3,V10,V6), P_pair-{F}(V4,V10,V11), P_pair-{F}(V12,V13,V11), P_pair-{F}(V12,V14,V11), P_sk1-{F}(V12,V14,V13,V15), P_pair-{F}(V13,V15,V8), P_pair-{F}(V16,V17,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #817: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V20, V17 == V18, V18 == V24, V7 == V22, V21 == V23; #783 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_pair-{F}(V3,V5,V6), P_trancl-{F}(V0,V7), P_pair-{F}(V3,V8,V6), P_pair-{F}(V8,V4,V9), P_pair-{F}(V5,V10,V9), P_pair-{F}(V4,V10,V11), P_pair-{F}(V3,V12,V6), P_pair-{F}(V4,V12,V11), P_pair-{F}(V13,V14,V11), P_pair-{F}(V13,V15,V11), P_sk1-{F}(V13,V15,V14,V16), P_pair-{F}(V14,V16,V9), P_pair-{F}(V17,V18,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #834: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V16 == V17, V17 == V21; #818 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V5,V4,V7), P_pair-{F}(V4,V5,V8), P_pair-{F}(V9,V10,V8), P_pair-{F}(V9,V11,V8), P_sk1-{F}(V9,V11,V10,V12), P_pair-{F}(V10,V12,V7), P_pair-{F}(V13,V14,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #849: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V19, V16 == V17, V17 == V21; #819 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V5,V4,V7), P_pair-{F}(V5,V8,V7), P_pair-{F}(V4,V8,V9), P_pair-{F}(V4,V5,V9), P_pair-{F}(V10,V11,V9), P_pair-{F}(V10,V12,V9), P_sk1-{F}(V10,V12,V11,V13), P_pair-{F}(V11,V13,V7), P_pair-{F}(V14,V15,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #880: mergings( V3 == V7, V7 == V13, V13 == V18, V18 == V20, V20 == V22, V4 == V8, V8 == V14, V14 == V19, V19 == V21, V21 == V23, V16 == V17, V17 == V24, V5 == V9, V6 == V10, V9 == V25, V10 == V26, V11 == V27, V12 == V28; #860 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_z-{F}(V6), P_pair-{F}(V4,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V3,V8,V9), P_pair-{F}(V6,V10,V9), P_pair-{F}(V8,V10,V11), P_pair-{F}(V12,V13,V9), P_pair-{F}(V14,V12,V7), P_pair-{F}(V14,V13,V15), P_pair-{F}(V16,V17,V15), P_pair-{F}(V16,V18,V15), P_sk1-{F}(V16,V18,V17,V19), P_pair-{F}(V17,V19,V11), P_pair-{F}(V20,V21,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #899: mergings( V3 == V7, V7 == V13, V13 == V15, V15 == V17, V17 == V22, V4 == V8, V8 == V14, V14 == V16, V16 == V18, V18 == V23, V20 == V21, V21 == V28, V5 == V9, V6 == V10, V9 == V24, V10 == V25, V11 == V26, V12 == V27; #861 ), references = 1, size of lhs = 22:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_pair-{F}(V4,V5,V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_trancl-{F}(V0,V9), P_pair-{F}(V5,V10,V8), P_pair-{F}(V11,V12,V8), P_pair-{F}(V13,V11,V6), P_pair-{F}(V13,V12,V14), P_pair-{F}(V15,V16,V14), P_pair-{F}(V15,V17,V14), P_sk1-{F}(V15,V17,V16,V18), P_pair-{F}(V16,V18,V19), P_pair-{F}(V10,V20,V19), P_pair-{F}(V7,V20,V19), P_pair-{F}(V21,V22,V19) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #916: mergings( V3 == V5, V5 == V8, V8 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V9, V9 == V14, V14 == V16, V16 == V18, V11 == V12, V12 == V21, V7 == V22, V20 == V23; #900 ), references = 1, size of lhs = 19:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V3,V7,V8), P_pair-{F}(V6,V9,V8), P_pair-{F}(V7,V9,V10), P_pair-{F}(V6,V11,V8), P_pair-{F}(V4,V11,V12), P_pair-{F}(V13,V14,V12), P_pair-{F}(V13,V15,V12), P_sk1-{F}(V13,V15,V14,V16), P_pair-{F}(V14,V16,V10), P_pair-{F}(V17,V18,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #931: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V18, V15 == V16, V16 == V23, V7 == V21, V20 == V22; #901 ), references = 1, size of lhs = 20:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V3,V6,V7), P_trancl-{F}(V0,V8), P_pair-{F}(V5,V9,V7), P_pair-{F}(V5,V10,V7), P_pair-{F}(V4,V10,V11), P_pair-{F}(V12,V13,V11), P_pair-{F}(V12,V14,V11), P_sk1-{F}(V12,V14,V13,V15), P_pair-{F}(V13,V15,V16), P_pair-{F}(V9,V17,V16), P_pair-{F}(V6,V17,V16), P_pair-{F}(V18,V19,V16) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #946: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V10 == V11, V11 == V19; #932 ), references = 1, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_trancl-{F}(V0,V5), P_sk3-{F}(V6), P_pair-{F}(V6,V6,V7), P_pair-{F}(V4,V6,V8), P_pair-{F}(V9,V10,V8), P_pair-{F}(V9,V11,V8), P_sk1-{F}(V9,V11,V10,V12), P_pair-{F}(V10,V12,V7), P_pair-{F}(V13,V14,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #959: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V17, V14 == V15, V15 == V19; #933 ), references = 2, size of lhs = 16:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V4,V5,V7), P_pair-{F}(V8,V9,V7), P_pair-{F}(V8,V10,V7), P_sk1-{F}(V8,V10,V9,V11), P_pair-{F}(V9,V11,V12), P_pair-{F}(V5,V13,V12), P_pair-{F}(V14,V15,V12) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #964: exists( #20, #959 ), references = 1, size of lhs = 13:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V4,V5,V7), P_pair-{F}(V8,V5,V7), P_pair-{F}(V8,V9,V7), P_sk1-{F}(V8,V9,V5,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #966: exists( #23, #961 ), references = 1, size of lhs = 12:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6), P_pair-{F}(V4,V5,V7), P_pair-{F}(V8,V5,V7), P_pair-{F}(V8,V9,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #968: exists( #20, #965 ), references = 1, size of lhs = 9:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_trancl-{F}(V0,V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #970: exists( #21, #967 ), references = 1, size of lhs = 8:
% 202.02/202.21 trans-{F}(V0), P_r-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #988: mergings( V3 == V9, V9 == V13, V4 == V10, V10 == V14, V16 == V17, V5 == V11, V6 == V12, V11 == V18, V12 == V19, V7 == V20, V8 == V21; #976 ), references = 1, size of lhs = 15:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V4,V10,V9), P_sk2-{F}(V10,V11), P_pair-{F}(V10,V11,V12), P_pair-{F}(V8,V13,V12), P_pair-{F}(V6,V13,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #997: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9, V11 == V12, V5 == V15, V14 == V16; #989 ), references = 1, size of lhs = 14:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V4,V9,V8), P_sk2-{F}(V9,V10), P_pair-{F}(V9,V10,V11), P_pair-{F}(V7,V12,V11), P_pair-{F}(V6,V12,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1004: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8, V10 == V11; #998 ), references = 1, size of lhs = 11:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_trancl-{F}(V2,V3), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7), P_pair-{F}(V6,V7,V8), P_pair-{F}(V6,V6,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1010: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #1005 ), references = 1, size of lhs = 10:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V6), P_pair-{F}(V5,V6,V7), P_pair-{F}(V5,V5,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1016: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #1011 ), references = 1, size of lhs = 8:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_z-{F}(V3), P_y-{F}(V4), P_sk3-{F}(V5), P_sk2-{F}(V5,V5) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1047: mergings( V3 == V9, V9 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V4 == V10, V10 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V25, V6 == V23, V23 == V27, V5 == V26, V7 == V11, V8 == V12, V11 == V28, V12 == V29, V13 == V30, V14 == V31; #1025 ), references = 1, size of lhs = 21:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V6,V10,V9), P_pair-{F}(V8,V10,V11), P_pair-{F}(V12,V13,V7), P_pair-{F}(V14,V15,V9), P_pair-{F}(V16,V17,V9), P_pair-{F}(V18,V16,V7), P_pair-{F}(V18,V17,V19), P_pair-{F}(V20,V21,V19), P_pair-{F}(V22,V20,V19), P_pair-{F}(V22,V21,V11) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1066: mergings( V3 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V4 == V8, V8 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V6 == V18, V18 == V22, V5 == V21, V9 == V25, V24 == V26; #1048 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_pair-{F}(V6,V9,V8), P_pair-{F}(V7,V9,V10), P_pair-{F}(V6,V11,V8), P_pair-{F}(V5,V11,V12), P_pair-{F}(V13,V14,V8), P_pair-{F}(V15,V16,V12), P_pair-{F}(V17,V15,V12), P_pair-{F}(V17,V16,V10) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1083: mergings( V3 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V6 == V17, V17 == V21, V5 == V20; #1067 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_z-{F}(V4), P_y-{F}(V5), P_sk3-{F}(V6), P_pair-{F}(V6,V6,V7), P_pair-{F}(V5,V6,V8), P_pair-{F}(V9,V10,V8), P_pair-{F}(V11,V9,V8), P_pair-{F}(V11,V10,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1155: mergings( V3 == V5, V4 == V6; #1152 ), references = 2, size of lhs = 18:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_pair-{F}(V3,V4,V5), P_trancl-{F}(V2,V6), P_z-{F}(V7), P_pair-{F}(V4,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V3,V9,V10), member-{F}(V11,V2), P_pair-{F}(V12,V7,V11), member-{F}(V13,V2), P_pair-{F}(V12,V14,V13), P_sk1-{F}(V12,V14,V7,V15), P_pair-{F}(V9,V15,V16), member-{F}(V16,V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1171: mergings( V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12, V5 == V13; #1163 ), references = 1, size of lhs = 26:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_pair-{F}(V5,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V4,V9,V10), member-{F}(V11,V3), member-{F}(V12,V3), member-{F}(V13,V0), member-{F}(V14,V3), P_pair-{F}(V15,V7,V14), member-{F}(V16,V3), P_pair-{F}(V15,V17,V16), P_sk1-{F}(V15,V17,V7,V18), P_pair-{F}(V9,V18,V19), P_pair-{F}(V20,V21,V11), P_pair-{F}(V20,V22,V12), P_sk1-{F}(V20,V22,V21,V23), P_pair-{F}(V24,V22,V13), P_pair-{F}(V24,V23,V19) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1180: mergings( V3 == V6, V6 == V8, V8 == V11, V4 == V7, V7 == V9, V9 == V12, V5 == V13; #1172 ), references = 1, size of lhs = 24:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_pair-{F}(V5,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V4,V9,V10), member-{F}(V11,V3), member-{F}(V12,V3), member-{F}(V13,V0), P_pair-{F}(V9,V14,V13), P_pair-{F}(V15,V14,V12), P_pair-{F}(V15,V16,V11), P_sk1-{F}(V15,V14,V16,V17), member-{F}(V18,V3), P_pair-{F}(V19,V7,V18), P_sk1-{F}(V19,V20,V7,V17), P_pair-{F}(V19,V20,V21), member-{F}(V21,V3) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1191: mergings( V4 == V7, V7 == V9, V9 == V12, V5 == V8, V8 == V10, V10 == V13, V21 == V24, V22 == V25, V6 == V14; #1181 ), references = 2, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_pair-{F}(V5,V7,V8), P_sk3-{F}(V9), P_pair-{F}(V4,V9,V10), member-{F}(V11,V3), P_pair-{F}(V12,V7,V11), member-{F}(V13,V0), P_pair-{F}(V9,V14,V13), P_pair-{F}(V12,V14,V15), member-{F}(V15,V3) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1203: mergings( V3 == V10, V4 == V11, V9 == V13, V5 == V14, V0 == V15, V6 == V16, V18 == V23, V7 == V17, V8 == V23; #1193 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_pair-{F}(V5,V7,V10), member-{F}(V10,V3), member-{F}(V11,V3), P_pair-{F}(V4,V12,V11), P_sk2-{F}(V12,V13), P_pair-{F}(V8,V13,V14), member-{F}(V14,V0) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1224: mergings( V3 == V12, V12 == V19, V4 == V13, V13 == V20, V9 == V22, V5 == V21, V6 == V14, V14 == V23, V28 == V30, V7 == V15, V8 == V16, V15 == V24, V16 == V25, V27 == V29, V10 == V17, V11 == V18, V17 == V26, V18 == V29; #1205 ), references = 1, size of lhs = 18:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_pair-{F}(V4,V5,V6), P_z-{F}(V7), P_sk3-{F}(V8), P_pair-{F}(V5,V7,V9), member-{F}(V9,V3), P_pair-{F}(V4,V8,V10), member-{F}(V10,V3), P_sk2-{F}(V8,V11), P_sk2-{F}(V12,V11), P_pair-{F}(V4,V12,V13), member-{F}(V13,V3) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1249: mergings( V3 == V7, V7 == V13, V13 == V18, V18 == V22, V4 == V8, V8 == V14, V14 == V19, V19 == V23, V6 == V29, V12 == V31, V15 == V25, V25 == V26, V26 == V27, V5 == V9, V29 == V10, V9 == V16, V10 == V17, V16 == V20, V17 == V21, V20 == V28, V11 == V30; #1227 ), references = 1, size of lhs = 14:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_pair-{F}(V5,V6,V7), P_sk3-{F}(V8), P_pair-{F}(V4,V8,V9), P_sk2-{F}(V8,V10), P_sk2-{F}(V11,V10), P_pair-{F}(V4,V11,V9) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1264: mergings( V3 == V5, V5 == V8, V8 == V11, V11 == V13, V4 == V6, V6 == V9, V9 == V12, V12 == V14, V20 == V22, V10 == V16, V16 == V17, V17 == V18, V7 == V21; #1250 ), references = 1, size of lhs = 13:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_pair-{F}(V4,V7,V8), P_sk2-{F}(V7,V9), P_sk2-{F}(V10,V9), P_pair-{F}(V4,V10,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1277: mergings( V3 == V5, V5 == V7, V7 == V10, V10 == V12, V4 == V6, V6 == V8, V8 == V11, V11 == V13, V9 == V15, V15 == V16, V16 == V17; #1265 ), references = 2, size of lhs = 10:
% 202.02/202.21 trans-{F}(V0), P_combK-{F}(V1), P_combS-{F}(V2), P_r-{F}(V3), P_trancl-{F}(V3,V0), P_x-{F}(V4), P_y-{F}(V5), P_z-{F}(V6), P_sk3-{F}(V7), P_sk2-{F}(V7,V8) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1282: mergings( V2 == V4, V3 == V5; #1279 ), references = 1, size of lhs = 8:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6), P_sk2-{F}(V6,V7) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1286: mergings( V2 == V4, V3 == V5; #1283 ), references = 1, size of lhs = 7:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5), P_sk3-{F}(V6) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1290: mergings( V1 == V3, V2 == V4; #1287 ), references = 1, size of lhs = 6:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4), P_z-{F}(V5) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1294: mergings( V1 == V3, V2 == V4; #1291 ), references = 1, size of lhs = 5:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3), P_y-{F}(V4) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1298: mergings( V1 == V3, V2 == V4; #1295 ), references = 1, size of lhs = 4:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2), P_x-{F}(V3) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1302: mergings( V1 == V3, V2 == V4; #1299 ), references = 1, size of lhs = 3:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1), P_r-{F}(V2) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1306: mergings( V1 == V3, V2 == V4; #1303 ), references = 1, size of lhs = 2:
% 202.02/202.21 P_combK-{F}(V0), P_combS-{F}(V1) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1309: mergings( V1 == V2; #1307 ), references = 1, size of lhs = 1:
% 202.02/202.21 P_combK-{F}(V0) | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 #1311: exists( #17, #1307 ), references = 1, size of lhs = 0:
% 202.02/202.21 FALSE | FALSE
% 202.02/202.21 (used 0 times, uses = {})
% 202.02/202.21
% 202.02/202.21 number of learnt formulas = 81
% 202.02/202.21
% 202.02/202.21
% 202.02/202.21 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 202.02/202.21
% 202.02/202.21 randbase = 1
%------------------------------------------------------------------------------