TSTP Solution File: ANA028-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 05:57:48 EDT 2022
% Result : Unsatisfiable 15.57s 15.78s
% Output : Refutation 15.57s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ANA028-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sat Jul 23 00:29:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 15.57/15.78 GeoParameters:
% 15.57/15.78
% 15.57/15.78 tptp_input = 1
% 15.57/15.78 tptp_output = 0
% 15.57/15.78 nonempty = 1
% 15.57/15.78 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.57/15.78 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 15.57/15.78
% 15.57/15.78
% 15.57/15.78 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.57/15.78 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.57/15.78
% 15.57/15.78 RuleSystem INPUT:
% 15.57/15.78
% 15.57/15.78 Initial Rules:
% 15.57/15.78 #0: input, references = 5, size of lhs = 4:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Ocomm__monoid__add-{F}(V1), P_c_plus-{F}(V0,V2,V1,V3), V3 == V2 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1: input, references = 5, size of lhs = 7:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), P_c_minus-{F}(V3,V2,V1,V5), P_c_plus-{F}(V4,V5,V1,V6), P_c_plus-{F}(V4,V3,V1,V7), P_c_minus-{F}(V7,V2,V1,V8), V6 == V8 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #2: input, references = 7, size of lhs = 7:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), P_c_minus-{F}(V4,V3,V1,V5), P_c_plus-{F}(V5,V2,V1,V6), P_c_plus-{F}(V4,V2,V1,V7), P_c_minus-{F}(V7,V3,V1,V8), V6 == V8 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #3: input, references = 6, size of lhs = 7:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), P_c_minus-{F}(V3,V2,V1,V5), P_c_minus-{F}(V4,V5,V1,V6), P_c_plus-{F}(V4,V2,V1,V7), P_c_minus-{F}(V7,V3,V1,V8), V6 == V8 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #4: input, references = 7, size of lhs = 5:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), P_c_plus-{F}(V2,V3,V1,V5), P_c_minus-{F}(V4,V3,V1,V6), c_lessequals-{F}(V4,V5,V1) | c_lessequals-{T}(V6,V2,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #5: input, references = 4, size of lhs = 5:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), P_c_plus-{F}(V4,V3,V1,V5), P_c_minus-{F}(V2,V3,V1,V6), c_lessequals-{F}(V5,V2,V1) | c_lessequals-{T}(V4,V6,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #6: input, references = 6, size of lhs = 4:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), P_c_minus-{F}(V2,V2,V1,V3), V3 == V0 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #7: input, references = 5, size of lhs = 4:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_g-{F}(V2,V3), P_v_k-{F}(V2,V4) | c_lessequals-{T}(V3,V4,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #8: input, references = 6, size of lhs = 9:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V1,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V1,V7), c_lessequals-{F}(V5,V7,V1) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #9: input, references = 5, size of lhs = 9:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V1,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V1,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Ocomm__monoid__add-{T}(V8)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #10: input, references = 17, size of lhs = 9:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V1,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V1,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Oab__group__add-{T}(V8)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #11: input, references = 6, size of lhs = 9:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V1,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V1,V7), class_Ring__and__Field_Oordered__idom-{F}(V8) | class_OrderedGroup_Opordered__ab__group__add-{T}(V8)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #12: input, references = 19, size of lhs = 8:
% 15.57/15.78 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V1,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V1,V7) | class_Ring__and__Field_Oordered__idom-{T}(V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #13: input, references = 21, size of lhs = 3:
% 15.57/15.78 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #14: input, references = 4, size of lhs = 0:
% 15.57/15.78 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #15: input, references = 47, size of lhs = 3:
% 15.57/15.78 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #16: input, references = 4, size of lhs = 1:
% 15.57/15.78 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #17: input, references = 5, size of lhs = 1:
% 15.57/15.78 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #18: input, references = 4, size of lhs = 0:
% 15.57/15.78 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #19: input, references = 6, size of lhs = 1:
% 15.57/15.78 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #20: input, references = 4, size of lhs = 0:
% 15.57/15.78 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 number of initial rules = 21
% 15.57/15.78
% 15.57/15.78 Simplifiers:
% 15.57/15.78 #21: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 class_OrderedGroup_Ocomm__monoid__add-{F}(V0), class_OrderedGroup_Ocomm__monoid__add-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #22: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #23: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #24: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #25: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #26: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #27: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #28: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #29: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #30: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #31: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #32: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #33: unsound, references = 3, size of lhs = 3:
% 15.57/15.78 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 number of simplifiers = 13
% 15.57/15.78
% 15.57/15.78 Learnt:
% 15.57/15.78 #46: mergings( V3 == V5, V5 == V7, V4 == V6; #40 ), references = 1, size of lhs = 6:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V2), P_c_0-{F}(V3) | P_c_minus-{T}(V2,V2,V0,V3)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #60: mergings( V4 == V6, V6 == V8, V5 == V7; #54 ), references = 1, size of lhs = 8:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V5,V0,V6), V6 == V4 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #65: mergings( V3 == V7, V7 == V9, V4 == V8; #61 ), references = 4, size of lhs = 7:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), #-{F} V5 | P_c_minus-{T}(V5,V5,V0,V4)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #78: mergings( V4 == V6, V6 == V8, V5 == V7; #72 ), references = 3, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_minus-{F}(V8,V7,V0,V9), P_c_plus-{F}(V8,V6,V0,V10), P_c_minus-{F}(V10,V5,V0,V11), V9 == V11 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #82: mergings( V4 == V6, V6 == V8, V5 == V7; #73 ), references = 4, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V8,V7,V0,V9), P_c_plus-{F}(V8,V5,V0,V10), P_c_minus-{F}(V10,V6,V0,V11), V9 == V11 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #88: mergings( V4 == V8, V8 == V10, V5 == V9; #83 ), references = 6, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_minus-{F}(V8,V7,V0,V9), P_c_plus-{F}(V8,V6,V0,V10) | P_c_minus-{T}(V10,V5,V0,V9)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #90: exists( #13, #82 ), references = 4, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V8,V5,V0,V9), P_c_minus-{F}(V9,V6,V0,V10) | P_c_plus-{T}(V8,V7,V0,V10)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #93: exists( #15, #78 ), references = 5, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V8,V6,V0,V9), P_c_minus-{F}(V9,V5,V0,V10) | P_c_minus-{T}(V8,V7,V0,V10)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #110: mergings( V7 == V11, V4 == V8, V6 == V10, V5 == V9; #105 ), references = 1, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V8,V6,V0,V9), P_c_minus-{F}(V10,V5,V0,V11), P_c_plus-{F}(V12,V10,V0,V9), P_c_plus-{F}(V12,V11,V0,V13) | P_c_minus-{T}(V8,V7,V0,V13)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #130: mergings( V7 == V11, V11 == V12, V12 == V15, V15 == V17, V4 == V8, V6 == V10, V5 == V9, V8 == V13, V10 == V14, V9 == V0, V13 == V16; #117 ), references = 1, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V5), P_c_minus-{F}(V6,V5,V0,V3), P_c_plus-{F}(V4,V7,V0,V8), V8 == V7 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #143: mergings( V7 == V11, V11 == V12, V12 == V16, V16 == V0, V4 == V8, V6 == V10, V5 == V9, V8 == V13, V10 == V15, V9 == V14, V13 == V17; #131 ), references = 2, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V5), P_c_minus-{F}(V6,V5,V0,V3), #-{F} V7 | P_c_plus-{T}(V4,V7,V0,V7)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #146: exists( #15, #78 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_minus-{F}(V8,V7,V0,V9), P_c_plus-{F}(V8,V6,V0,V10) | P_c_minus-{T}(V10,V5,V0,V9)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #147: exists( #15, #82 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V8,V7,V0,V9), P_c_plus-{F}(V8,V5,V0,V10) | P_c_minus-{T}(V10,V6,V0,V9)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #170: mergings( V7 == V11, V11 == V12, V12 == V16, V16 == V18, V4 == V8, V6 == V10, V5 == V9, V8 == V13, V10 == V15, V9 == V14, V13 == V17; #158 ), references = 2, size of lhs = 13:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_minus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V7,V5,V0,V2), P_c_minus-{F}(V8,V9,V0,V6), P_c_plus-{F}(V7,V9,V0,V10), P_c_minus-{F}(V11,V3,V0,V12), P_c_plus-{F}(V11,V13,V0,V2), P_c_plus-{F}(V12,V13,V0,V14) | P_c_minus-{T}(V10,V8,V0,V14)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #181: mergings( V5 == V9, V6 == V7, V7 == V10, V10 == V12, V4 == V8, V8 == V11; #174 ), references = 1, size of lhs = 15:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_plus-{F}(V5,V6,V0,V2), P_c_minus-{F}(V7,V3,V0,V8), P_c_plus-{F}(V7,V9,V0,V2), P_c_plus-{F}(V8,V9,V0,V10), P_c_minus-{F}(V11,V12,V0,V13), P_c_plus-{F}(V13,V14,V0,V15), P_c_plus-{F}(V11,V14,V0,V16), P_c_minus-{F}(V16,V12,V0,V17), V15 == V17 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #189: mergings( V5 == V10, V7 == V8, V8 == V11, V11 == V13, V4 == V9, V9 == V12; #182 ), references = 3, size of lhs = 13:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V3), P_c_0-{F}(V4), P_c_plus-{F}(V5,V6,V0,V2), P_c_minus-{F}(V7,V3,V0,V8), P_c_plus-{F}(V7,V9,V0,V2), P_c_plus-{F}(V8,V9,V0,V10), P_c_minus-{F}(V11,V12,V0,V13), P_c_plus-{F}(V13,V14,V0,V15), P_c_plus-{F}(V11,V14,V0,V16) | P_c_minus-{T}(V16,V12,V0,V15)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #191: exists( #13, #2 ), references = 5, size of lhs = 5:
% 15.57/15.78 P_c_0-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), P_c_minus-{F}(V2,V3,V1,V4), P_c_plus-{F}(V2,V5,V1,V6), P_c_minus-{F}(V6,V3,V1,V7) | P_c_plus-{T}(V4,V5,V1,V7)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #224: mergings( V7 == V11, V11 == V15, V15 == V16, V16 == V17, V17 == V21, V21 == V22, V22 == V23, V23 == V24, V4 == V8, V6 == V10, V5 == V9, V8 == V12, V10 == V14, V9 == V13, V12 == V18, V14 == V20, V13 == V19, V18 == V25, V20 == V29, V29 == V27, V19 == V26; #202 ), references = 1, size of lhs = 15:
% 15.57/15.78 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V1,V0), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V4), P_c_minus-{F}(V3,V4,V0,V5), P_c_plus-{F}(V1,V6,V0,V6), P_c_minus-{F}(V7,V6,V0,V5), P_c_plus-{F}(V1,V8,V0,V9), P_c_minus-{F}(V9,V6,V0,V10), P_c_plus-{F}(V10,V8,V0,V7) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #250: mergings( V7 == V11, V11 == V12, V12 == V16, V16 == V17, V17 == V18, V4 == V8, V6 == V10, V5 == V9, V8 == V13, V10 == V15, V9 == V14, V13 == V19, V15 == V23, V23 == V21, V14 == V20; #234 ), references = 1, size of lhs = 16:
% 15.57/15.78 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V4), P_c_minus-{F}(V3,V4,V0,V5), P_c_minus-{F}(V5,V6,V0,V7), c_lessequals-{F}(V8,V7,V0), P_c_plus-{F}(V8,V9,V0,V8), P_c_plus-{F}(V10,V11,V0,V9), P_c_minus-{F}(V6,V11,V0,V12), P_c_plus-{F}(V8,V12,V0,V13), P_c_minus-{F}(V13,V10,V0,V5) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #282: mergings( V7 == V11, V11 == V15, V15 == V19, V19 == V23, V23 == V24, V24 == V29, V29 == V30, V30 == V31, V4 == V8, V6 == V10, V5 == V9, V8 == V12, V10 == V14, V9 == V13, V12 == V16, V14 == V18, V13 == V17, V16 == V20, V18 == V22, V17 == V21, V20 == V26, V22 == V28, V21 == V27, V26 == V32, V28 == V36, V36 == V34, V27 == V33; #254 ), references = 1, size of lhs = 25:
% 15.57/15.78 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V4), P_c_minus-{F}(V3,V4,V0,V5), P_c_plus-{F}(V6,V7,V0,V5), P_c_minus-{F}(V7,V8,V0,V9), P_c_minus-{F}(V10,V9,V0,V11), P_c_plus-{F}(V10,V8,V0,V12), P_c_minus-{F}(V6,V11,V0,V13), P_c_plus-{F}(V14,V5,V0,V12), c_lessequals-{F}(V14,V13,V0), P_c_plus-{F}(V14,V15,V0,V14), P_c_plus-{F}(V16,V16,V0,V15), P_c_plus-{F}(V17,V18,V0,V3), P_c_minus-{F}(V19,V4,V0,V20), P_c_plus-{F}(V19,V21,V0,V3), P_c_plus-{F}(V20,V21,V0,V22), P_c_minus-{F}(V23,V16,V0,V24), P_c_plus-{F}(V24,V25,V0,V5), P_c_plus-{F}(V23,V25,V0,V12) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #325: mergings( V2 == V4, V4 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V33, V33 == V34, V34 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V14, V14 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V31; #293 ), references = 1, size of lhs = 6:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V1,V0), P_v_x-{F}(V2), P_v_k-{F}(V2,V1), P_v_g-{F}(V2,V1) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #341: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #333 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V7,V0,V8), V8 == V6 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #347: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #335 ), references = 4, size of lhs = 12:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V10,V9,V0,V11), P_c_plus-{F}(V10,V7,V0,V12), P_c_minus-{F}(V12,V8,V0,V13), V11 == V13 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #352: mergings( V4 == V7, V7 == V9, V5 == V8; #348 ), references = 1, size of lhs = 8:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V6,V0,V7), V7 == V5 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #357: mergings( V3 == V8, V8 == V10, V4 == V9; #353 ), references = 6, size of lhs = 7:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), #-{F} V6 | P_c_minus-{T}(V6,V6,V0,V5)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #359: exists( #15, #347 ), references = 4, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V10,V9,V0,V11), P_c_plus-{F}(V10,V7,V0,V12) | P_c_minus-{T}(V12,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #371: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #364 ), references = 1, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V3), P_c_plus-{F}(V2,V8,V0,V9), P_c_minus-{F}(V9,V7,V0,V10) | P_c_minus-{T}(V2,V3,V0,V10)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #375: exists( #13, #347 ), references = 2, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V10,V7,V0,V11), P_c_minus-{F}(V11,V8,V0,V12) | P_c_plus-{T}(V10,V9,V0,V12)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #392: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #384 ), references = 2, size of lhs = 12:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_minus-{F}(V10,V9,V0,V11), P_c_plus-{F}(V10,V8,V0,V12), P_c_minus-{F}(V12,V7,V0,V13), V11 == V13 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #406: mergings( V8 == V9, V9 == V14, V14 == V20, V4 == V10, V7 == V13, V6 == V12, V5 == V11, V15 == V16, V10 == V17, V13 == V18, V16 == V19; #394 ), references = 3, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V7), P_c_minus-{F}(V8,V7,V0,V9), P_c_minus-{F}(V10,V9,V0,V11) | P_c_plus-{T}(V10,V7,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #418: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #412 ), references = 5, size of lhs = 12:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V9,V10,V0,V11), P_c_plus-{F}(V7,V10,V0,V12), P_c_minus-{F}(V12,V8,V0,V13), V11 == V13 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #425: mergings( V4 == V9, V9 == V14, V5 == V11, V8 == V12, V10 == V13; #419 ), references = 2, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V7,V10,V0,V11), P_c_minus-{F}(V11,V8,V0,V12) | P_c_plus-{T}(V9,V10,V0,V12)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #434: mergings( V4 == V8, V8 == V12, V5 == V9, V6 == V10, V7 == V11; #428 ), references = 4, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_plus-{F}(V6,V7,V0,V8), V8 == V7 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #449: mergings( V6 == V9, V9 == V12, V12 == V15, V4 == V7, V5 == V8, V7 == V10, V8 == V11, V10 == V13, V11 == V14; #439 ), references = 3, size of lhs = 12:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V5), P_c_minus-{F}(V8,V7,V0,V9), P_c_minus-{F}(V9,V10,V0,V9), P_c_minus-{F}(V10,V9,V0,V3), P_c_plus-{F}(V2,V8,V0,V11), P_c_plus-{F}(V6,V12,V0,V11) | P_c_minus-{T}(V2,V3,V0,V12)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #452: exists( #13, #434 ), references = 2, size of lhs = 8:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), #-{F} V7 | P_c_plus-{T}(V6,V7,V0,V7)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #469: mergings( V4 == V5, V5 == V6, V6 == V7; #465 ), references = 2, size of lhs = 15:
% 15.57/15.78 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_c_minus-{F}(V3,V4,V0,V5), P_v_g-{F}(V2,V6), P_c_minus-{F}(V3,V6,V0,V7), P_c_minus-{F}(V8,V9,V0,V5), P_c_plus-{F}(V8,V10,V0,V11), P_c_minus-{F}(V12,V10,V0,V7), P_c_plus-{F}(V12,V9,V0,V13), c_lessequals-{F}(V11,V13,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #489: mergings( V4 == V7, V7 == V11, V11 == V16, V16 == V17, V17 == V18, V18 == V19, V5 == V8, V6 == V9, V10 == V15, V8 == V12, V9 == V13, V14 == V15, V12 == V20, V13 == V21, V15 == V22; #473 ), references = 3, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V3,V7,V0,V8), P_c_minus-{F}(V9,V7,V0,V6), P_c_plus-{F}(V9,V4,V0,V10), c_lessequals-{F}(V8,V10,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #531: mergings( V8 == V13, V13 == V18, V18 == V21, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V19 == V20, V14 == V22, V17 == V25, V16 == V24, V15 == V23, V20 == V26; #513 ), references = 1, size of lhs = 12:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V3,V1,V0,V6), P_c_plus-{F}(V3,V7,V0,V8), P_c_minus-{F}(V8,V9,V0,V10), P_c_plus-{F}(V10,V4,V0,V11), c_lessequals-{F}(V10,V11,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #556: mergings( V7 == V10, V10 == V13, V13 == V18, V18 == V21, V21 == V24, V24 == V26, V4 == V8, V6 == V9, V8 == V11, V9 == V12, V11 == V14, V5 == V17, V12 == V16, V0 == V15, V14 == V19, V16 == V20, V19 == V22, V20 == V23, V22 == V27, V23 == V28; #535 ), references = 1, size of lhs = 14:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_c_minus-{F}(V1,V2,V0,V1), P_c_minus-{F}(V2,V1,V0,V3), P_v_x-{F}(V4), P_v_g-{F}(V4,V3), P_v_f-{F}(V4,V5), P_v_k-{F}(V4,V6), c_lessequals-{F}(V1,V6,V0), P_c_minus-{F}(V5,V7,V0,V1), P_c_minus-{F}(V8,V7,V0,V9), P_c_minus-{F}(V9,V10,V0,V9), P_c_minus-{F}(V10,V9,V0,V3), P_c_minus-{F}(V8,V11,V0,V1) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #577: mergings( V2 == V5, V5 == V8, V8 == V11, V11 == V16, V16 == V18, V18 == V20, V20 == V4, V4 == V7, V7 == V14, V3 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V21; #559 ), references = 1, size of lhs = 6:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V1), P_v_k-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #590: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V13; #579 ), references = 1, size of lhs = 4:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V1) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #592: exists( #15, #418 ), references = 1, size of lhs = 10:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_minus-{F}(V2,V4,V0,V5), P_c_0-{F}(V6), P_c_minus-{F}(V7,V8,V0,V9), P_c_plus-{F}(V9,V10,V0,V11), P_c_plus-{F}(V7,V10,V0,V12) | P_c_minus-{T}(V12,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #602: exists( #15, #392 ), references = 5, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_minus-{F}(V9,V8,V0,V10), P_c_plus-{F}(V9,V7,V0,V11), P_c_minus-{F}(V11,V6,V0,V12), V10 == V12 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #603: exists( #15, #347 ), references = 3, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V9,V8,V0,V10), P_c_plus-{F}(V9,V6,V0,V11), P_c_minus-{F}(V11,V7,V0,V12), V10 == V12 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #606: exists( #15, #599 ), references = 11, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_minus-{F}(V9,V8,V0,V10), P_c_plus-{F}(V9,V7,V0,V11) | P_c_minus-{T}(V11,V6,V0,V10)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #623: exists( #15, #434 ), references = 1, size of lhs = 8:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_plus-{F}(V5,V6,V0,V7), V7 == V6 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #625: exists( #13, #622 ), references = 10, size of lhs = 7:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), #-{F} V6 | P_c_plus-{T}(V5,V6,V0,V6)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #627: exists( #15, #602 ), references = 15, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V9,V7,V0,V10), P_c_minus-{F}(V10,V6,V0,V11) | P_c_minus-{T}(V9,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #633: exists( #15, #489 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_k-{F}(V2,V4), P_v_g-{F}(V2,V5), P_c_plus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V3,V4,V0,V7), c_lessequals-{F}(V6,V7,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #637: exists( #15, #602 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V9,V7,V0,V10), P_c_minus-{F}(V10,V6,V0,V11) | P_c_minus-{T}(V9,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #639: exists( #13, #603 ), references = 4, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V9,V6,V0,V10), P_c_minus-{F}(V10,V7,V0,V11) | P_c_plus-{T}(V9,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #682: mergings( V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V19, V17 == V22, V16 == V21, V15 == V20, V19 == V24, V22 == V27, V21 == V26, V20 == V25, V24 == V29, V27 == V32, V26 == V31, V25 == V30; #656 ), references = 1, size of lhs = 18:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_plus-{F}(V4,V6,V0,V6), P_c_plus-{F}(V6,V7,V0,V8), P_c_minus-{F}(V9,V7,V0,V10), P_c_plus-{F}(V11,V10,V0,V10), P_c_plus-{F}(V11,V9,V0,V12), P_c_minus-{F}(V12,V8,V0,V13), P_c_plus-{F}(V11,V13,V0,V2), P_c_minus-{F}(V14,V15,V0,V16), P_c_plus-{F}(V16,V17,V0,V18), P_c_plus-{F}(V14,V17,V0,V19), P_c_minus-{F}(V19,V15,V0,V20), V18 == V20 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #721: mergings( V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V33 == V38, V38 == V42, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V19, V17 == V22, V16 == V21, V15 == V20, V19 == V24, V22 == V27, V21 == V26, V20 == V25, V24 == V29, V27 == V32, V26 == V31, V25 == V30, V29 == V34, V32 == V37, V31 == V36, V30 == V35, V34 == V39, V37 == V0, V36 == V41, V35 == V40; #685 ), references = 1, size of lhs = 20:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V4,V6,V0,V7), P_c_minus-{F}(V8,V9,V0,V6), P_c_minus-{F}(V9,V8,V0,V7), P_c_plus-{F}(V7,V10,V0,V11), P_c_minus-{F}(V12,V10,V0,V13), P_c_plus-{F}(V14,V13,V0,V13), P_c_plus-{F}(V14,V12,V0,V15), P_c_minus-{F}(V15,V11,V0,V16), P_c_plus-{F}(V14,V16,V0,V2), P_c_minus-{F}(V17,V18,V0,V19), P_c_plus-{F}(V19,V20,V0,V21), P_c_plus-{F}(V17,V20,V0,V22), P_c_minus-{F}(V22,V18,V0,V23), V21 == V23 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #762: mergings( V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V19, V17 == V22, V16 == V21, V15 == V20, V19 == V24, V22 == V27, V21 == V26, V20 == V25, V24 == V29, V27 == V32, V26 == V31, V25 == V30; #736 ), references = 2, size of lhs = 16:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_plus-{F}(V6,V7,V0,V7), P_c_plus-{F}(V7,V8,V0,V9), P_c_minus-{F}(V10,V8,V0,V11), P_c_plus-{F}(V12,V11,V0,V11), P_c_plus-{F}(V12,V10,V0,V13), P_c_minus-{F}(V13,V9,V0,V14), P_c_minus-{F}(V7,V15,V0,V16), P_c_plus-{F}(V17,V15,V0,V11), P_c_plus-{F}(V6,V16,V0,V18), P_c_minus-{F}(V18,V17,V0,V19) | P_c_minus-{T}(V9,V10,V0,V19)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #789: mergings( V8 == V12, V12 == V15, V4 == V9, V7 == V10, V6 == V11, V5 == V0, V9 == V13, V11 == V14; #780 ), references = 2, size of lhs = 15:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V5,V6,V0,V5), P_c_minus-{F}(V7,V6,V0,V8), P_c_minus-{F}(V8,V9,V0,V8), P_c_minus-{F}(V9,V8,V0,V3), P_c_minus-{F}(V10,V11,V0,V12), P_c_plus-{F}(V12,V13,V0,V14), P_c_plus-{F}(V10,V13,V0,V15), P_c_minus-{F}(V15,V11,V0,V16), V14 == V16 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #832: mergings( V8 == V13, V13 == V18, V18 == V23, V23 == V28, V28 == V33, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V19, V17 == V22, V16 == V21, V15 == V20, V19 == V24, V22 == V27, V21 == V26, V20 == V25, V24 == V29, V27 == V32, V26 == V31, V25 == V30; #806 ), references = 1, size of lhs = 20:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_plus-{F}(V6,V5,V0,V5), P_c_plus-{F}(V7,V8,V0,V8), P_c_plus-{F}(V7,V9,V0,V9), P_c_minus-{F}(V8,V10,V0,V11), P_c_plus-{F}(V8,V11,V0,V12), P_c_minus-{F}(V12,V13,V0,V9), P_c_plus-{F}(V13,V10,V0,V14), P_c_minus-{F}(V15,V8,V0,V14), P_c_plus-{F}(V16,V14,V0,V15), P_c_minus-{F}(V5,V17,V0,V18), P_c_plus-{F}(V19,V17,V0,V9), P_c_plus-{F}(V6,V18,V0,V20), P_c_minus-{F}(V20,V19,V0,V21), P_c_plus-{F}(V16,V21,V0,V22) | P_c_minus-{T}(V13,V11,V0,V22)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #841: exists( #15, #418 ), references = 3, size of lhs = 11:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V8,V9,V0,V10), P_c_plus-{F}(V6,V9,V0,V11), P_c_minus-{F}(V11,V7,V0,V12), V10 == V12 | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #843: exists( #15, #602 ), references = 1, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V9,V7,V0,V10), P_c_minus-{F}(V10,V6,V0,V11) | P_c_minus-{T}(V9,V8,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #847: exists( #15, #841 ), references = 5, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V8,V9,V0,V10), P_c_plus-{F}(V6,V9,V0,V11) | P_c_minus-{T}(V11,V7,V0,V10)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #889: mergings( V8 == V13, V13 == V18, V18 == V23, V23 == V24, V24 == V29, V29 == V32, V32 == V38, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V19, V17 == V22, V16 == V21, V15 == V20, V19 == V25, V22 == V28, V21 == V27, V20 == V26, V25 == V30, V27 == V31, V35 == V37, V30 == V33, V31 == V34, V36 == V37, V33 == V39, V34 == V40, V37 == V41; #856 ), references = 2, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_plus-{F}(V7,V8,V0,V4), P_c_minus-{F}(V9,V8,V0,V10), P_c_plus-{F}(V11,V9,V0,V3), P_c_plus-{F}(V11,V10,V0,V12), P_c_minus-{F}(V12,V7,V0,V13), P_c_minus-{F}(V14,V15,V0,V6), P_c_plus-{F}(V11,V15,V0,V16), P_c_plus-{F}(V14,V7,V0,V17), P_c_minus-{F}(V17,V10,V0,V18), c_lessequals-{F}(V18,V16,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #892: exists( #13, #841 ), references = 4, size of lhs = 9:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), P_v_g-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V6,V9,V0,V10), P_c_minus-{F}(V10,V7,V0,V11) | P_c_plus-{T}(V8,V9,V0,V11)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #893: exists( #13, #789 ), references = 1, size of lhs = 13:
% 15.57/15.78 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_0-{F}(V5), P_c_minus-{F}(V5,V6,V0,V5), P_c_minus-{F}(V7,V6,V0,V8), P_c_minus-{F}(V8,V9,V0,V8), P_c_minus-{F}(V9,V8,V0,V3), P_c_minus-{F}(V10,V11,V0,V12), P_c_plus-{F}(V10,V13,V0,V14), P_c_minus-{F}(V14,V11,V0,V15) | P_c_plus-{T}(V12,V13,V0,V15)
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #913: mergings( V8 == V13, V13 == V18, V18 == V19, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V20, V17 == V22, V16 == V23, V15 == V21; #897 ), references = 2, size of lhs = 18:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_minus-{F}(V1,V7,V0,V1), P_c_plus-{F}(V7,V8,V0,V4), P_c_minus-{F}(V9,V8,V0,V10), P_c_plus-{F}(V11,V9,V0,V3), P_c_minus-{F}(V12,V13,V0,V11), P_c_plus-{F}(V12,V10,V0,V14), P_c_minus-{F}(V15,V16,V0,V6), P_c_plus-{F}(V11,V16,V0,V17), P_c_plus-{F}(V15,V7,V0,V18), P_c_minus-{F}(V18,V10,V0,V19), c_lessequals-{F}(V19,V17,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #928: mergings( V8 == V13, V13 == V14, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V15, V12 == V17, V11 == V18, V10 == V16; #917 ), references = 2, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_minus-{F}(V1,V7,V0,V1), P_c_plus-{F}(V7,V8,V0,V4), P_c_minus-{F}(V1,V9,V0,V10), P_c_plus-{F}(V10,V11,V0,V3), P_c_minus-{F}(V12,V13,V0,V6), P_c_plus-{F}(V10,V13,V0,V14), P_c_plus-{F}(V12,V7,V0,V15), P_c_plus-{F}(V15,V8,V0,V16), P_c_minus-{F}(V16,V11,V0,V17), c_lessequals-{F}(V17,V14,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #946: mergings( V8 == V13, V13 == V18, V18 == V20, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V21, V17 == V23, V16 == V24, V15 == V22; #930 ), references = 2, size of lhs = 19:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_minus-{F}(V1,V7,V0,V1), P_c_plus-{F}(V7,V8,V0,V4), P_c_minus-{F}(V1,V9,V0,V10), P_c_plus-{F}(V10,V11,V0,V3), P_c_minus-{F}(V12,V11,V0,V13), P_c_plus-{F}(V13,V14,V0,V15), P_c_plus-{F}(V12,V14,V0,V16), P_c_plus-{F}(V17,V8,V0,V16), P_c_plus-{F}(V18,V7,V0,V17), P_c_minus-{F}(V18,V19,V0,V6), P_c_plus-{F}(V10,V19,V0,V20), c_lessequals-{F}(V15,V20,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #957: exists( #13, #946 ), references = 2, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_minus-{F}(V1,V7,V0,V1), P_c_plus-{F}(V7,V8,V0,V4), P_c_minus-{F}(V1,V9,V0,V10), P_c_plus-{F}(V10,V11,V0,V3), P_c_plus-{F}(V12,V7,V0,V13), P_c_minus-{F}(V13,V11,V0,V14), P_c_plus-{F}(V14,V8,V0,V15), P_c_minus-{F}(V12,V16,V0,V6), P_c_plus-{F}(V10,V16,V0,V17), c_lessequals-{F}(V15,V17,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #965: mergings( V8 == V9, V4 == V10, V7 == V12, V6 == V13, V5 == V11; #959 ), references = 2, size of lhs = 18:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V3,V5,V0,V6), P_c_minus-{F}(V1,V7,V0,V1), P_c_plus-{F}(V7,V8,V0,V4), P_c_plus-{F}(V1,V9,V0,V10), P_c_minus-{F}(V10,V11,V0,V12), P_c_plus-{F}(V12,V13,V0,V3), P_c_plus-{F}(V14,V7,V0,V15), P_c_minus-{F}(V15,V13,V0,V16), P_c_plus-{F}(V16,V8,V0,V17), P_c_minus-{F}(V14,V18,V0,V6), P_c_plus-{F}(V12,V18,V0,V19), c_lessequals-{F}(V17,V19,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #980: mergings( V8 == V9, V4 == V10, V7 == V12, V6 == V13, V5 == V11; #972 ), references = 1, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V8,V0,V9), P_c_plus-{F}(V10,V8,V0,V3), P_c_plus-{F}(V10,V6,V0,V11), P_c_plus-{F}(V11,V7,V0,V12), P_c_minus-{F}(V1,V13,V0,V14), P_c_plus-{F}(V14,V15,V0,V3), P_c_plus-{F}(V14,V9,V0,V16), P_c_minus-{F}(V12,V15,V0,V17), c_lessequals-{F}(V17,V16,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #986: mergings( V8 == V9, V4 == V10, V7 == V12, V6 == V13, V5 == V11; #973 ), references = 2, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V8,V0,V9), P_c_plus-{F}(V10,V8,V0,V3), P_c_plus-{F}(V10,V6,V0,V11), P_c_minus-{F}(V1,V12,V0,V13), P_c_plus-{F}(V13,V14,V0,V3), P_c_minus-{F}(V11,V14,V0,V15), P_c_plus-{F}(V15,V7,V0,V16), P_c_plus-{F}(V13,V9,V0,V17), c_lessequals-{F}(V16,V17,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #992: mergings( V8 == V9, V4 == V10, V7 == V12, V6 == V13, V5 == V11; #974 ), references = 2, size of lhs = 18:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V8,V0,V9), P_c_plus-{F}(V10,V8,V0,V3), P_c_plus-{F}(V10,V6,V0,V11), P_c_plus-{F}(V1,V12,V0,V13), P_c_minus-{F}(V13,V14,V0,V15), P_c_plus-{F}(V15,V16,V0,V3), P_c_minus-{F}(V11,V16,V0,V17), P_c_plus-{F}(V17,V7,V0,V18), P_c_plus-{F}(V15,V9,V0,V19), c_lessequals-{F}(V18,V19,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1037: mergings( V8 == V13, V13 == V14, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V15, V12 == V17, V11 == V18, V10 == V16; #1025 ), references = 1, size of lhs = 18:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V6,V0,V8), P_c_plus-{F}(V9,V6,V0,V9), P_c_plus-{F}(V9,V10,V0,V11), P_c_minus-{F}(V11,V12,V0,V3), P_c_minus-{F}(V1,V13,V0,V14), P_c_plus-{F}(V14,V15,V0,V3), P_c_minus-{F}(V3,V15,V0,V16), P_c_plus-{F}(V16,V7,V0,V17), P_c_plus-{F}(V14,V8,V0,V18), c_lessequals-{F}(V17,V18,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1057: mergings( V8 == V17, V17 == V22, V22 == V23, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V13, V12 == V16, V11 == V15, V10 == V14, V13 == V18, V16 == V21, V15 == V20, V14 == V19, V18 == V24, V21 == V26, V20 == V27, V19 == V25; #1026 ), references = 1, size of lhs = 17:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V6,V0,V8), P_c_plus-{F}(V9,V6,V0,V9), P_c_plus-{F}(V1,V10,V0,V3), P_c_minus-{F}(V3,V10,V0,V11), P_c_plus-{F}(V11,V7,V0,V12), P_c_plus-{F}(V1,V8,V0,V13), c_lessequals-{F}(V12,V13,V0), P_c_plus-{F}(V9,V14,V0,V15), P_c_minus-{F}(V15,V16,V0,V3) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1077: mergings( V8 == V13, V13 == V18, V18 == V20, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V21, V17 == V23, V16 == V24, V15 == V22; #1060 ), references = 1, size of lhs = 20:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V6,V0,V8), P_c_plus-{F}(V9,V6,V0,V9), P_c_plus-{F}(V9,V10,V0,V11), P_c_plus-{F}(V12,V13,V0,V11), P_c_plus-{F}(V14,V13,V0,V3), P_c_minus-{F}(V12,V15,V0,V14), P_c_minus-{F}(V1,V16,V0,V17), P_c_plus-{F}(V17,V18,V0,V3), P_c_minus-{F}(V3,V18,V0,V19), P_c_plus-{F}(V19,V7,V0,V20), P_c_plus-{F}(V17,V8,V0,V21), c_lessequals-{F}(V20,V21,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1102: mergings( V8 == V13, V13 == V22, V22 == V27, V27 == V29, V4 == V9, V7 == V12, V6 == V11, V5 == V10, V9 == V14, V12 == V17, V11 == V16, V10 == V15, V14 == V18, V17 == V21, V16 == V20, V15 == V19, V18 == V23, V21 == V26, V20 == V25, V19 == V24, V23 == V30, V26 == V32, V25 == V33, V24 == V31; #1061 ), references = 1, size of lhs = 19:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V3), P_v_g-{F}(V2,V4), P_v_k-{F}(V2,V5), P_c_minus-{F}(V1,V6,V0,V1), P_c_plus-{F}(V6,V7,V0,V4), P_c_minus-{F}(V5,V6,V0,V8), P_c_plus-{F}(V9,V6,V0,V9), P_c_plus-{F}(V1,V10,V0,V3), P_c_minus-{F}(V3,V10,V0,V11), P_c_plus-{F}(V11,V7,V0,V12), P_c_plus-{F}(V1,V8,V0,V13), c_lessequals-{F}(V12,V13,V0), P_c_plus-{F}(V9,V14,V0,V15), P_c_plus-{F}(V16,V17,V0,V15), P_c_plus-{F}(V18,V17,V0,V3), P_c_minus-{F}(V16,V19,V0,V18) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1148: mergings( V12 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V30, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V31, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V32; #1119 ), references = 1, size of lhs = 6:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3), P_v_k-{F}(V2,V4), c_lessequals-{F}(V3,V4,V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1170: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21; #1151 ), references = 1, size of lhs = 4:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1179: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1171 ), references = 1, size of lhs = 3:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1188: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #1180 ), references = 1, size of lhs = 2:
% 15.57/15.78 P_t_b-{F}(V0), P_c_0-{F}(V1) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1197: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1189 ), references = 1, size of lhs = 1:
% 15.57/15.78 P_c_0-{F}(V0) | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 #1200: exists( #14, #1189 ), references = 1, size of lhs = 0:
% 15.57/15.78 FALSE | FALSE
% 15.57/15.78 (used 0 times, uses = {})
% 15.57/15.78
% 15.57/15.78 number of learnt formulas = 80
% 15.57/15.78
% 15.57/15.78
% 15.57/15.78 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.57/15.78
% 15.57/15.78 randbase = 1
%------------------------------------------------------------------------------