TSTP Solution File: ANA031-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n015.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 3.11s 3.28s
% Output : Refutation 3.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA031-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n015.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 00:37:22 EDT 2022
% 0.12/0.33 % CPUTime :
% 3.11/3.28 GeoParameters:
% 3.11/3.28
% 3.11/3.28 tptp_input = 1
% 3.11/3.28 tptp_output = 0
% 3.11/3.28 nonempty = 1
% 3.11/3.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/3.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.11/3.28
% 3.11/3.28
% 3.11/3.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/3.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/3.28
% 3.11/3.28 RuleSystem INPUT:
% 3.11/3.28
% 3.11/3.28 Initial Rules:
% 3.11/3.28 #0: input, references = 7, size of lhs = 7:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_b-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_v_g-{F}(V2,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V1,V6,V0,V7) | c_lessequals-{T}(V4,V7,V0)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #1: input, references = 6, size of lhs = 13:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2,V3), P_v_b-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_f-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_v_g-{F}(V3,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V7,V10,V0,V11), P_c_times-{F}(V2,V11,V0,V12), c_lessequals-{F}(V8,V12,V0) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #2: input, references = 5, size of lhs = 5:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_OrderedGroup_Olordered__ab__group__abs-{F}(V3), P_c_HOL_Oabs-{F}(V4,V3,V5) | c_lessequals-{T}(V2,V5,V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #3: input, references = 4, size of lhs = 9:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_OrderedGroup_Osemigroup__mult-{F}(V3), P_c_times-{F}(V6,V5,V3,V7), P_c_times-{F}(V7,V4,V3,V8), P_c_times-{F}(V5,V4,V3,V9), P_c_times-{F}(V6,V9,V3,V10), V8 == V10 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #4: input, references = 4, size of lhs = 7:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_OrderedGroup_Oab__semigroup__mult-{F}(V3), P_c_times-{F}(V5,V4,V3,V6), P_c_times-{F}(V4,V5,V3,V7), V6 == V7 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #5: input, references = 6, size of lhs = 8:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_Ring__and__Field_Opordered__semiring-{F}(V3), c_lessequals-{F}(V2,V4,V3), P_c_times-{F}(V4,V6,V3,V7), P_c_times-{F}(V4,V5,V3,V8), c_lessequals-{F}(V6,V5,V3) | c_lessequals-{T}(V7,V8,V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #6: input, references = 4, size of lhs = 4:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Oab__semigroup__mult-{T}(V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #7: input, references = 4, size of lhs = 4:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Osemigroup__mult-{T}(V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #8: input, references = 4, size of lhs = 4:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_Ring__and__Field_Opordered__semiring-{T}(V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #9: input, references = 4, size of lhs = 4:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #10: input, references = 4, size of lhs = 3:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #11: input, references = 8, size of lhs = 2:
% 3.11/3.28 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #12: input, references = 4, size of lhs = 1:
% 3.11/3.28 #-{F} V0 | EXISTS V1: P_v_b-{T}(V0,V1)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #13: input, references = 4, size of lhs = 0:
% 3.11/3.28 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #14: input, references = 15, size of lhs = 3:
% 3.11/3.28 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #15: input, references = 4, size of lhs = 0:
% 3.11/3.28 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #16: input, references = 4, size of lhs = 1:
% 3.11/3.28 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #17: input, references = 4, size of lhs = 1:
% 3.11/3.28 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #18: input, references = 4, size of lhs = 1:
% 3.11/3.28 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #19: input, references = 4, size of lhs = 0:
% 3.11/3.28 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 number of initial rules = 20
% 3.11/3.28
% 3.11/3.28 Simplifiers:
% 3.11/3.28 #20: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #21: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #22: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #23: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #24: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #25: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #26: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #27: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_v_b-{F}(V0,V1), P_v_b-{F}(V0,V3), V1 == V3 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #28: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #29: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #30: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #31: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #32: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #33: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #34: unsound, references = 3, size of lhs = 3:
% 3.11/3.28 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 number of simplifiers = 15
% 3.11/3.28
% 3.11/3.28 Learnt:
% 3.11/3.28 #37: exists( #14, #4 ), references = 10, size of lhs = 5:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_OrderedGroup_Oab__semigroup__mult-{F}(V3), P_c_times-{F}(V4,V5,V3,V6) | P_c_times-{T}(V5,V4,V3,V6)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #38: exists( #14, #3 ), references = 4, size of lhs = 7:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), class_OrderedGroup_Osemigroup__mult-{F}(V3), P_c_times-{F}(V4,V5,V3,V6), P_c_times-{F}(V5,V7,V3,V8), P_c_times-{F}(V4,V8,V3,V9) | P_c_times-{T}(V6,V7,V3,V9)
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #47: mergings( V4 == V2, V2 == V7, V5 == V8, V8 == V10, V6 == V9; #41 ), references = 1, size of lhs = 15:
% 3.11/3.28 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_v_x-{F}(V3,V4), P_v_b-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), c_lessequals-{F}(V6,V6,V0), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V3), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V3,V9,V0,V6) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #56: mergings( V4 == V2, V5 == V7; #53 ), references = 1, size of lhs = 16:
% 3.11/3.28 P_c_0-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), P_t_b-{F}(V1), c_lessequals-{F}(V0,V2,V1), P_v_c-{F}(V3), P_v_x-{F}(V2,V4), P_v_b-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V1,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V1,V8), P_c_times-{F}(V6,V8,V1,V9), P_c_times-{F}(V2,V10,V1,V9), P_v_g-{F}(V4,V11), P_c_HOL_Oabs-{F}(V11,V1,V12), P_c_times-{F}(V8,V12,V1,V13), c_lessequals-{F}(V10,V13,V1) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #78: mergings( V4 == V2, V2 == V7, V7 == V10, V5 == V8, V8 == V11, V11 == V14, V6 == V9, V9 == V12; #69 ), references = 3, size of lhs = 20:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_c-{F}(V3), P_c_times-{F}(V4,V2,V0,V5), P_c_times-{F}(V6,V4,V0,V7), c_lessequals-{F}(V8,V7,V0), P_c_times-{F}(V2,V8,V0,V9), P_v_x-{F}(V6,V10), P_v_b-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_v_f-{F}(V10,V13), P_c_HOL_Oabs-{F}(V13,V0,V14), P_c_times-{F}(V12,V14,V0,V9), P_v_g-{F}(V10,V15), P_c_HOL_Oabs-{F}(V15,V0,V16), P_c_times-{F}(V14,V16,V0,V5) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #94: mergings( V4 == V7, V7 == V2, V2 == V10, V10 == V13, V5 == V1, V1 == V8, V8 == V11, V11 == V14, V14 == V16, V6 == V9, V9 == V12, V12 == V15; #81 ), references = 1, size of lhs = 20:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V2), P_v_f-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), c_lessequals-{F}(V1,V6,V0), P_c_times-{F}(V6,V6,V0,V7), P_v_g-{F}(V3,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V6,V9,V0,V7), P_c_HOL_Oabs-{F}(V10,V0,V6), P_v_g-{F}(V11,V10), P_v_b-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V2) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #108: mergings( V3 == V7, V7 == V1, V1 == V10, V10 == V13, V4 == V6, V6 == V8, V8 == V11, V11 == V14, V14 == V16, V5 == V9, V9 == V12, V12 == V15; #95 ), references = 1, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V2), P_v_f-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), c_lessequals-{F}(V1,V6,V0), P_v_g-{F}(V3,V7), P_c_HOL_Oabs-{F}(V7,V0,V6), P_c_HOL_Oabs-{F}(V8,V0,V6), P_v_g-{F}(V9,V8), P_v_b-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V2) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #122: mergings( V4 == V2, V5 == V8, V6 == V7; #118 ), references = 3, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V4,V0,V3), P_v_f-{F}(V5,V4), P_v_x-{F}(V6,V5), P_v_b-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_g-{F}(V5,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V3,V10,V0,V11), P_c_times-{F}(V12,V3,V0,V11), P_c_times-{F}(V6,V12,V0,V13), c_lessequals-{F}(V8,V13,V0) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #133: mergings( V4 == V7, V7 == V2, V5 == V1, V1 == V8, V8 == V11, V6 == V9, V9 == V10; #125 ), references = 3, size of lhs = 20:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V3,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V5,V9,V0,V10), P_c_times-{F}(V11,V5,V0,V10), P_c_HOL_Oabs-{F}(V12,V0,V7), P_v_b-{F}(V13,V12), P_v_g-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V0,V11) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #142: mergings( V3 == V7, V7 == V1, V4 == V6, V6 == V8, V8 == V11, V5 == V9, V9 == V10; #134 ), references = 1, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V3,V8), P_c_HOL_Oabs-{F}(V8,V0,V5), P_c_HOL_Oabs-{F}(V9,V0,V7), P_v_b-{F}(V10,V9), P_v_g-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V5) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #151: mergings( V3 == V7, V7 == V1, V4 == V6, V6 == V8, V8 == V11, V5 == V9, V9 == V10; #143 ), references = 1, size of lhs = 16:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_v_g-{F}(V3,V7), P_c_HOL_Oabs-{F}(V7,V0,V5), P_v_b-{F}(V8,V6), P_v_g-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V5) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #163: mergings( V3 == V1, V1 == V5, V5 == V9, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V7 == V11, V11 == V12; #153 ), references = 1, size of lhs = 13:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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,V4), P_v_b-{F}(V3,V5), P_v_b-{F}(V6,V5), P_v_g-{F}(V6,V4) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #216: exists( #14, #122 ), references = 1, size of lhs = 16:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V4,V0,V3), P_v_f-{F}(V5,V4), P_v_x-{F}(V6,V5), P_v_b-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_g-{F}(V5,V9), P_c_HOL_Oabs-{F}(V9,V0,V3), P_c_times-{F}(V6,V3,V0,V10), c_lessequals-{F}(V8,V10,V0) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #217: exists( #14, #78 ), references = 1, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V4,V0,V3), P_v_g-{F}(V5,V4), P_v_x-{F}(V6,V5), P_v_b-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_f-{F}(V5,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V6,V10,V0,V11), c_lessequals-{F}(V12,V11,V0), P_c_times-{F}(V3,V12,V0,V13), P_c_times-{F}(V8,V10,V0,V13) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #233: mergings( V4 == V7, V7 == V2, V5 == V8, V8 == V10, V10 == V12, V6 == V9, V9 == V11; #224 ), references = 1, size of lhs = 20:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_c_times-{F}(V4,V2,V0,V3), P_c_HOL_Oabs-{F}(V5,V0,V3), P_v_f-{F}(V6,V5), P_v_x-{F}(V7,V6), P_v_b-{F}(V6,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_g-{F}(V6,V10), P_c_HOL_Oabs-{F}(V10,V0,V3), P_c_times-{F}(V7,V4,V0,V11), P_c_HOL_Oabs-{F}(V12,V0,V9), P_v_b-{F}(V13,V12), P_v_g-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V0,V11) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #241: mergings( V4 == V7, V7 == V2, V5 == V8, V8 == V10, V10 == V12, V6 == V9, V9 == V11; #225 ), references = 1, size of lhs = 20:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V3,V0,V2), P_v_b-{F}(V4,V3), P_v_g-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), c_lessequals-{F}(V1,V6,V0), P_v_x-{F}(V7,V4), P_v_f-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V6), P_c_times-{F}(V7,V9,V0,V6), P_c_times-{F}(V9,V2,V0,V6), P_c_HOL_Oabs-{F}(V10,V0,V6), P_v_g-{F}(V11,V10), P_v_b-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V2) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #243: exists( #11, #133 ), references = 2, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_v_g-{F}(V3,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V5,V8,V0,V9), P_v_b-{F}(V10,V6), P_v_g-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V12,V5,V0,V9) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #267: mergings( V4 == V2, V5 == V8, V6 == V7; #261 ), references = 1, size of lhs = 16:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_v_g-{F}(V3,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_b-{F}(V9,V6), P_v_g-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V8) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #271: mergings( V4 == V2, V5 == V8, V6 == V7; #262 ), references = 1, size of lhs = 18:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_c_HOL_Oabs-{F}(V4,V0,V5), c_lessequals-{F}(V1,V5,V0), P_v_b-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V3,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_HOL_Oabs-{F}(V10,V0,V7), P_v_b-{F}(V11,V10), P_v_g-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V9) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #275: mergings( V4 == V2, V5 == V8, V6 == V7; #263 ), references = 1, size of lhs = 16:
% 3.11/3.28 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V4,V0,V3), P_v_f-{F}(V5,V4), P_v_x-{F}(V6,V5), P_v_b-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_g-{F}(V5,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V6,V10,V0,V11), c_lessequals-{F}(V8,V11,V0) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #287: mergings( V3 == V1, V1 == V5, V4 == V6, V6 == V9, V7 == V8; #279 ), references = 1, size of lhs = 15:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V5), P_v_g-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_b-{F}(V8,V5), P_v_g-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V7) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #294: mergings( V2 == V4, V4 == V5, V3 == V6, V6 == V9, V7 == V8; #288 ), references = 2, size of lhs = 14:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_b-{F}(V7,V4), P_v_g-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V6) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #297: exists( #11, #294 ), references = 1, size of lhs = 12:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V4), P_v_g-{F}(V3,V5), P_v_b-{F}(V6,V4), P_v_g-{F}(V6,V5) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #299: exists( #16, #295 ), references = 1, size of lhs = 9:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{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_b-{F}(V3,V4) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #301: exists( #12, #298 ), references = 1, size of lhs = 8:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #303: exists( #17, #300 ), references = 1, size of lhs = 7:
% 3.11/3.28 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #319: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #309 ), references = 1, size of lhs = 2:
% 3.11/3.28 P_t_b-{F}(V0), P_v_c-{F}(V1) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #325: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #320 ), references = 1, size of lhs = 1:
% 3.11/3.28 P_t_b-{F}(V0) | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 #327: exists( #13, #320 ), references = 1, size of lhs = 0:
% 3.11/3.28 FALSE | FALSE
% 3.11/3.28 (used 0 times, uses = {})
% 3.11/3.28
% 3.11/3.28 number of learnt formulas = 29
% 3.11/3.28
% 3.11/3.28
% 3.11/3.28 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.11/3.28
% 3.11/3.28 randbase = 1
%------------------------------------------------------------------------------