TSTP Solution File: ANA030-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n026.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 1.66s 1.88s
% Output : Refutation 1.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : ANA030-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sat Jul 23 00:42:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.66/1.88 GeoParameters:
% 1.66/1.88
% 1.66/1.88 tptp_input = 1
% 1.66/1.88 tptp_output = 0
% 1.66/1.88 nonempty = 1
% 1.66/1.88 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.66/1.88
% 1.66/1.88
% 1.66/1.88 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88
% 1.66/1.88 RuleSystem INPUT:
% 1.66/1.88
% 1.66/1.88 Initial Rules:
% 1.66/1.88 #0: input, references = 4, size of lhs = 11:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_minus-{F}(V4,V5,V0,V6), P_c_Orderings_Omax-{F}(V6,V1,V0,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_h-{F}(V3,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V2,V10,V0,V11) | c_lessequals-{T}(V8,V11,V0)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #1: input, references = 6, size of lhs = 11:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), P_v_g-{F}(V4,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V3,V8,V0,V9), P_c_plus-{F}(V6,V9,V0,V10), c_lessequals-{F}(V5,V10,V0) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #2: input, references = 4, size of lhs = 3:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #3: input, references = 4, size of lhs = 7:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Olordered__ab__group__abs-{F}(V3), P_c_HOL_Oabs-{F}(V4,V3,V5), c_lessequals-{F}(V1,V4,V3), V5 == V4 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #4: input, references = 5, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V6), P_c_plus-{F}(V5,V6,V3,V7), P_c_minus-{F}(V5,V4,V3,V8), V7 == V8 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #5: input, references = 6, size of lhs = 7:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Opordered__ab__group__add-{F}(V3), P_c_minus-{F}(V6,V5,V3,V7), P_c_plus-{F}(V4,V5,V3,V8), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V6,V8,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #6: input, references = 4, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V6), P_c_minus-{F}(V5,V6,V3,V7), P_c_plus-{F}(V5,V4,V3,V8), V7 == V8 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #7: input, references = 5, size of lhs = 10:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_plus-{F}(V5,V4,V3,V6), P_c_uminus-{F}(V6,V3,V7), P_c_uminus-{F}(V5,V3,V8), P_c_uminus-{F}(V4,V3,V9), P_c_plus-{F}(V8,V9,V3,V10), V7 == V10 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #8: input, references = 5, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_minus-{F}(V5,V4,V3,V6), P_c_uminus-{F}(V6,V3,V7), P_c_minus-{F}(V4,V5,V3,V8), V7 == V8 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #9: input, references = 6, size of lhs = 7:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_uminus-{F}(V5,V3,V6), V6 == V4 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #10: input, references = 4, size of lhs = 5:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_Orderings_Olinorder-{F}(V3), P_c_Orderings_Omax-{F}(V4,V5,V3,V6) | c_lessequals-{T}(V5,V6,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #11: input, references = 4, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_Orderings_Olinorder-{F}(V3), P_c_Orderings_Omax-{F}(V5,V6,V3,V7), c_lessequals-{F}(V7,V4,V3) | c_lessequals-{T}(V5,V4,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #12: input, references = 4, size of lhs = 4:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Olordered__ab__group__abs-{F}(V3) | class_OrderedGroup_Opordered__ab__group__add-{T}(V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #13: input, references = 4, size of lhs = 4:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_Orderings_Olinorder-{T}(V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #14: input, references = 4, size of lhs = 4:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Oab__group__add-{T}(V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #15: input, references = 4, size of lhs = 4:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #16: input, references = 5, size of lhs = 2:
% 1.66/1.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #17: input, references = 4, size of lhs = 3:
% 1.66/1.88 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Orderings_Omax-{T}(V0,V1,V2,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #18: input, references = 11, size of lhs = 3:
% 1.66/1.88 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #19: input, references = 4, size of lhs = 1:
% 1.66/1.88 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #20: input, references = 4, size of lhs = 1:
% 1.66/1.88 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #21: input, references = 4, size of lhs = 0:
% 1.66/1.88 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #22: input, references = 4, size of lhs = 0:
% 1.66/1.88 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #23: input, references = 4, size of lhs = 3:
% 1.66/1.88 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #24: input, references = 4, size of lhs = 0:
% 1.66/1.88 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #25: input, references = 4, size of lhs = 1:
% 1.66/1.88 #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #26: input, references = 4, size of lhs = 1:
% 1.66/1.88 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #27: input, references = 6, size of lhs = 3:
% 1.66/1.88 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #28: input, references = 7, size of lhs = 2:
% 1.66/1.88 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_uminus-{T}(V0,V1,V2)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 number of initial rules = 29
% 1.66/1.88
% 1.66/1.88 Simplifiers:
% 1.66/1.88 #29: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #30: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #31: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #32: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #33: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #34: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #35: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #36: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_Orderings_Omax-{F}(V0,V1,V2,V3), P_c_Orderings_Omax-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #37: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #38: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #39: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #40: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #41: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #42: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #43: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #44: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #45: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #46: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #47: unsound, references = 3, size of lhs = 3:
% 1.66/1.88 P_c_uminus-{F}(V0,V1,V2), P_c_uminus-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 number of simplifiers = 19
% 1.66/1.88
% 1.66/1.88 Learnt:
% 1.66/1.88 #51: exists( #27, #4 ), references = 6, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_minus-{F}(V6,V4,V3,V7) | P_c_plus-{T}(V6,V5,V3,V7)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #52: exists( #27, #6 ), references = 1, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_minus-{F}(V6,V5,V3,V7) | P_c_plus-{T}(V6,V4,V3,V7)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #54: exists( #18, #8 ), references = 2, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_minus-{F}(V6,V7,V3,V4) | P_c_minus-{T}(V7,V6,V3,V5)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #58: exists( #16, #3 ), references = 1, size of lhs = 5:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Olordered__ab__group__abs-{F}(V3), c_lessequals-{F}(V1,V4,V3) | P_c_HOL_Oabs-{T}(V4,V3,V4)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #61: exists( #28, #8 ), references = 4, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_minus-{F}(V4,V5,V3,V6), P_c_minus-{F}(V5,V4,V3,V7) | P_c_uminus-{T}(V6,V3,V7)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #62: exists( #28, #7 ), references = 3, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_plus-{F}(V4,V6,V3,V7), P_c_uminus-{F}(V6,V3,V8), P_c_plus-{F}(V5,V8,V3,V9) | P_c_uminus-{T}(V7,V3,V9)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #89: mergings( V4 == V7, V7 == V10, V10 == V13, V13 == V2, V2 == V16, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20, V0 == V27; #72 ), references = 1, size of lhs = 16:
% 1.66/1.88 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_c-{F}(V2), P_c_uminus-{F}(V3,V0,V3), P_v_g-{F}(V4,V3), P_v_f-{F}(V4,V5), P_v_x-{F}(V6,V4), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V6,V8,V0,V9), P_c_uminus-{F}(V9,V0,V9), P_c_uminus-{F}(V10,V0,V9), P_c_minus-{F}(V5,V3,V0,V11), c_lessequals-{F}(V11,V10,V0) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #100: mergings( V4 == V7, V5 == V8, V6 == V9; #96 ), references = 1, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_minus-{F}(V6,V7,V3,V5) | P_c_minus-{T}(V7,V6,V3,V4)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #105: exists( #27, #7 ), references = 2, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_plus-{F}(V4,V6,V3,V7), P_c_uminus-{F}(V7,V3,V8), P_c_uminus-{F}(V6,V3,V9) | P_c_plus-{T}(V5,V9,V3,V8)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #133: mergings( V4 == V7, V7 == V10, V10 == V2, V2 == V13, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V6 == V9, V9 == V12, V12 == V15, V15 == V17; #120 ), references = 1, size of lhs = 18:
% 1.66/1.88 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_uminus-{F}(V3,V0,V4), P_c_uminus-{F}(V5,V0,V6), P_v_g-{F}(V7,V6), P_v_f-{F}(V7,V8), P_c_minus-{F}(V8,V4,V0,V9), c_lessequals-{F}(V9,V10,V0), P_v_x-{F}(V11,V7), P_v_h-{F}(V7,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V11,V13,V0,V14), P_c_uminus-{F}(V15,V0,V14), P_c_plus-{F}(V5,V15,V0,V16), P_c_minus-{F}(V3,V10,V0,V16) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #145: mergings( V4 == V7, V5 == V8, V6 == V9; #141 ), references = 1, size of lhs = 8:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_uminus-{F}(V6,V3,V7), P_c_plus-{F}(V5,V7,V3,V8), P_c_uminus-{F}(V8,V3,V9) | P_c_plus-{T}(V4,V6,V3,V9)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #166: mergings( V4 == V7, V7 == V2, V2 == V10, V10 == V13, V13 == V16, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V19, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V20; #150 ), references = 1, size of lhs = 18:
% 1.66/1.88 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_uminus-{F}(V3,V0,V4), P_v_x-{F}(V5,V6), P_v_f-{F}(V6,V7), P_c_minus-{F}(V7,V4,V0,V8), c_lessequals-{F}(V8,V9,V0), P_v_g-{F}(V6,V10), P_c_uminus-{F}(V10,V0,V11), P_v_h-{F}(V6,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V5,V13,V0,V14), P_c_uminus-{F}(V14,V0,V15), P_c_plus-{F}(V11,V15,V0,V16), P_c_minus-{F}(V3,V9,V0,V16) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #187: mergings( V4 == V7, V7 == V10, V10 == V2, V2 == V13, V13 == V16, V16 == V19, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V22, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V23; #168 ), references = 1, size of lhs = 17:
% 1.66/1.88 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_uminus-{F}(V3,V0,V4), P_c_uminus-{F}(V5,V0,V4), c_lessequals-{F}(V6,V3,V0), P_v_x-{F}(V7,V8), P_v_f-{F}(V8,V9), P_v_g-{F}(V8,V10), P_c_uminus-{F}(V10,V0,V11), P_c_uminus-{F}(V11,V0,V12), P_c_minus-{F}(V9,V12,V0,V6), P_v_h-{F}(V8,V13), P_c_HOL_Oabs-{F}(V13,V0,V14), P_c_times-{F}(V7,V14,V0,V5) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #207: mergings( V3 == V6, V6 == V9, V9 == V1, V1 == V12, V12 == V15, V15 == V18, V4 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V21, V5 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V22; #188 ), references = 1, size of lhs = 15:
% 1.66/1.88 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), P_v_g-{F}(V4,V6), P_c_uminus-{F}(V6,V0,V7), P_c_uminus-{F}(V7,V0,V8), P_c_minus-{F}(V5,V8,V0,V9), P_v_h-{F}(V4,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_times-{F}(V3,V11,V0,V12), c_lessequals-{F}(V9,V12,V0) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #234: mergings( V5 == V2, V2 == V8, V8 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V26, V0 == V7, V7 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V27; #210 ), references = 1, size of lhs = 22:
% 1.66/1.88 class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_uminus-{F}(V5,V0,V6), P_c_uminus-{F}(V6,V0,V7), P_c_minus-{F}(V4,V7,V0,V8), P_v_h-{F}(V3,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_HOL_Oabs-{F}(V11,V0,V10), P_v_h-{F}(V12,V11), P_v_f-{F}(V12,V13), P_v_g-{F}(V12,V14), P_c_minus-{F}(V13,V14,V0,V15), P_c_Orderings_Omax-{F}(V15,V1,V0,V16), P_c_HOL_Oabs-{F}(V16,V0,V17), P_c_Orderings_Omax-{F}(V8,V18,V0,V17) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #266: mergings( V4 == V7, V7 == V2, V2 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V5 == V1, V1 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V29 == V31, V6 == V8, V8 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V32; #237 ), references = 1, size of lhs = 20:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_uminus-{F}(V5,V0,V6), P_c_uminus-{F}(V6,V0,V7), P_c_minus-{F}(V4,V7,V0,V8), P_v_h-{F}(V3,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_HOL_Oabs-{F}(V11,V0,V10), P_v_h-{F}(V12,V11), P_v_f-{F}(V12,V13), P_v_g-{F}(V12,V14), P_c_minus-{F}(V13,V14,V0,V8) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #296: mergings( V4 == V7, V7 == V2, V2 == V11, V11 == V14, V14 == V17, V17 == V20, V20 == V23, V23 == V26, V26 == V29, V5 == V9, V9 == V12, V12 == V15, V15 == V18, V18 == V21, V21 == V24, V24 == V27, V27 == V30, V30 == V32, V6 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V19, V19 == V22, V22 == V25, V25 == V28, V28 == V31, V31 == V33; #267 ), references = 2, size of lhs = 18:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_uminus-{F}(V5,V0,V6), P_c_uminus-{F}(V6,V0,V7), P_v_h-{F}(V3,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_f-{F}(V10,V4), P_v_g-{F}(V10,V7), P_v_h-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V9) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #298: exists( #18, #4 ), references = 1, size of lhs = 6:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5), P_c_plus-{F}(V6,V5,V3,V7) | P_c_minus-{T}(V6,V4,V3,V7)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #313: exists( #28, #9 ), references = 1, size of lhs = 5:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Oab__group__add-{F}(V3), P_c_uminus-{F}(V4,V3,V5) | P_c_uminus-{T}(V5,V3,V4)
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #319: mergings( V3 == V1, V4 == V6, V5 == V7; #315 ), references = 1, size of lhs = 16:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_v_h-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_f-{F}(V8,V4), P_v_g-{F}(V8,V5), P_v_h-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V7) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #324: mergings( V3 == V1, V4 == V6, V5 == V7; #320 ), references = 2, size of lhs = 14:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_v_h-{F}(V3,V6), P_v_f-{F}(V7,V4), P_v_g-{F}(V7,V5), P_v_h-{F}(V7,V6) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #336: exists( #25, #324 ), references = 1, size of lhs = 10:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #338: exists( #20, #335 ), references = 1, size of lhs = 9:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #340: exists( #19, #337 ), references = 1, size of lhs = 8:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #342: exists( #26, #339 ), references = 1, size of lhs = 7:
% 1.66/1.88 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Orderings_Olinorder-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #358: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V9, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V11; #348 ), references = 1, size of lhs = 2:
% 1.66/1.88 P_t_b-{F}(V0), P_c_0-{F}(V1) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #364: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #359 ), references = 1, size of lhs = 1:
% 1.66/1.88 P_t_b-{F}(V0) | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 #366: exists( #21, #359 ), references = 1, size of lhs = 0:
% 1.66/1.88 FALSE | FALSE
% 1.66/1.88 (used 0 times, uses = {})
% 1.66/1.88
% 1.66/1.88 number of learnt formulas = 28
% 1.66/1.88
% 1.66/1.88
% 1.66/1.88 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88
% 1.66/1.88 randbase = 1
%------------------------------------------------------------------------------