TSTP Solution File: ANA017-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Sat Jul 23 05:57:46 EDT 2022
% Result : Unsatisfiable 16.65s 16.89s
% Output : Refutation 16.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA017-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n017.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 : Fri Jul 22 23:50:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 16.65/16.89 GeoParameters:
% 16.65/16.89
% 16.65/16.89 tptp_input = 1
% 16.65/16.89 tptp_output = 0
% 16.65/16.89 nonempty = 1
% 16.65/16.89 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.65/16.89 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 16.65/16.89
% 16.65/16.89
% 16.65/16.89 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.65/16.89 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.65/16.89
% 16.65/16.89 RuleSystem INPUT:
% 16.65/16.89
% 16.65/16.89 Initial Rules:
% 16.65/16.89 #0: input, references = 5, size of lhs = 7:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_b-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_v_f-{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)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #1: input, references = 5, size of lhs = 11:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3,V4), P_v_b-{F}(V4,V5), P_c_times-{F}(V2,V5,V0,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_f-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V3,V9,V0,V10), c_lessequals-{F}(V7,V10,V0) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #2: input, references = 4, size of lhs = 3:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #3: input, references = 5, size of lhs = 6:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_OrderedGroup_Olordered__ab__group__abs-{F}(V4), P_c_HOL_Oabs-{F}(V5,V4,V6) | c_lessequals-{T}(V3,V6,V4)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #4: input, references = 5, size of lhs = 10:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_OrderedGroup_Osemigroup__mult-{F}(V4), P_c_times-{F}(V7,V6,V4,V8), P_c_times-{F}(V8,V5,V4,V9), P_c_times-{F}(V6,V5,V4,V10), P_c_times-{F}(V7,V10,V4,V11), V9 == V11 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #5: input, references = 5, size of lhs = 11:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4), P_c_times-{F}(V6,V5,V4,V7), P_c_HOL_Oabs-{F}(V7,V4,V8), P_c_HOL_Oabs-{F}(V6,V4,V9), P_c_HOL_Oabs-{F}(V5,V4,V10), P_c_times-{F}(V9,V10,V4,V11), V8 == V11 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #6: input, references = 6, size of lhs = 9:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Opordered__semiring-{F}(V4), c_lessequals-{F}(V3,V5,V4), P_c_times-{F}(V5,V7,V4,V8), P_c_times-{F}(V5,V6,V4,V9), c_lessequals-{F}(V7,V6,V4) | c_lessequals-{T}(V8,V9,V4)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #7: input, references = 4, size of lhs = 5:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4) | class_OrderedGroup_Osemigroup__mult-{T}(V4)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #8: input, references = 4, size of lhs = 5:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4) | class_Ring__and__Field_Opordered__semiring-{T}(V4)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #9: input, references = 4, size of lhs = 5:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V4)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #10: input, references = 8, size of lhs = 2:
% 16.65/16.89 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #11: input, references = 4, size of lhs = 1:
% 16.65/16.89 #-{F} V0 | EXISTS V1: P_v_b-{T}(V0,V1)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #12: input, references = 4, size of lhs = 0:
% 16.65/16.89 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #13: input, references = 15, size of lhs = 3:
% 16.65/16.89 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #14: input, references = 4, size of lhs = 0:
% 16.65/16.89 FALSE | EXISTS V0: P_v_ca-{T}(V0)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #15: input, references = 5, size of lhs = 1:
% 16.65/16.89 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #16: input, references = 4, size of lhs = 0:
% 16.65/16.89 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #17: input, references = 4, size of lhs = 1:
% 16.65/16.89 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #18: input, references = 4, size of lhs = 0:
% 16.65/16.89 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 number of initial rules = 19
% 16.65/16.89
% 16.65/16.89 Simplifiers:
% 16.65/16.89 #19: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #20: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #21: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #22: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #23: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #24: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #25: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_v_b-{F}(V0,V1), P_v_b-{F}(V0,V3), V1 == V3 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #26: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #27: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #28: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_v_ca-{F}(V0), P_v_ca-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #29: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #30: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #31: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #32: unsound, references = 3, size of lhs = 3:
% 16.65/16.89 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 number of simplifiers = 14
% 16.65/16.89
% 16.65/16.89 Learnt:
% 16.65/16.89 #34: exists( #13, #4 ), references = 5, size of lhs = 8:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_OrderedGroup_Osemigroup__mult-{F}(V4), P_c_times-{F}(V5,V6,V4,V7), P_c_times-{F}(V6,V8,V4,V9), P_c_times-{F}(V5,V9,V4,V10) | P_c_times-{T}(V7,V8,V4,V10)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #38: exists( #10, #5 ), references = 8, size of lhs = 9:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4), P_c_HOL_Oabs-{F}(V5,V4,V6), P_c_times-{F}(V5,V7,V4,V8), P_c_HOL_Oabs-{F}(V7,V4,V9), P_c_times-{F}(V6,V9,V4,V10) | P_c_HOL_Oabs-{T}(V8,V4,V10)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #54: mergings( V4 == V2, V2 == V8, V8 == V12, V5 == V9, V9 == V13, V13 == V16, V6 == V10, V10 == V14, V14 == V17, V7 == V11, V11 == V15; #42 ), references = 3, size of lhs = 19:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V5,V0,V3), P_c_HOL_Oabs-{F}(V6,V0,V6), c_lessequals-{F}(V6,V7,V0), P_c_times-{F}(V4,V7,V0,V8), P_c_times-{F}(V5,V9,V0,V6), P_v_b-{F}(V10,V9), P_v_x-{F}(V11,V10), P_v_f-{F}(V10,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V11,V13,V0,V8) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #56: exists( #13, #4 ), references = 2, size of lhs = 8:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_OrderedGroup_Osemigroup__mult-{F}(V4), P_c_times-{F}(V5,V6,V4,V7), P_c_times-{F}(V7,V8,V4,V9), P_c_times-{F}(V6,V8,V4,V10) | P_c_times-{T}(V5,V10,V4,V9)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #74: mergings( V4 == V2, V5 == V9, V6 == V10, V7 == V8; #69 ), references = 1, size of lhs = 19:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V5,V0,V3), P_v_x-{F}(V4,V6), P_v_b-{F}(V6,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_HOL_Oabs-{F}(V8,V0,V8), P_v_f-{F}(V6,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), c_lessequals-{F}(V8,V10,V0), P_c_times-{F}(V11,V12,V0,V4), P_c_times-{F}(V12,V10,V0,V13) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #92: mergings( V4 == V2, V2 == V8, V5 == V9, V9 == V12, V6 == V10, V10 == V13, V7 == V11; #83 ), references = 4, size of lhs = 17:
% 16.65/16.89 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_times-{F}(V2,V5,V0,V6), c_lessequals-{F}(V5,V7,V0), P_c_HOL_Oabs-{F}(V8,V0,V6), P_c_times-{F}(V4,V9,V0,V8), P_v_b-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V13,V12,V0,V7), P_c_times-{F}(V2,V13,V0,V14), P_v_x-{F}(V14,V10) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #105: mergings( V4 == V8, V8 == V12, V12 == V2, V5 == V9, V9 == V13, V13 == V17, V6 == V10, V10 == V14, V14 == V18, V7 == V11, V11 == V15, V15 == V16; #84 ), references = 3, size of lhs = 22:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V5,V0,V3), P_c_times-{F}(V4,V6,V0,V6), c_lessequals-{F}(V1,V6,V0), P_c_HOL_Oabs-{F}(V7,V0,V7), P_c_times-{F}(V6,V8,V0,V7), c_lessequals-{F}(V8,V9,V0), P_c_times-{F}(V5,V10,V0,V7), P_v_b-{F}(V11,V10), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V14,V13,V0,V9), P_c_times-{F}(V6,V14,V0,V15), P_v_x-{F}(V15,V11) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #111: mergings( V0 == V6; #108 ), references = 3, size of lhs = 19:
% 16.65/16.89 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_times-{F}(V2,V3,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_c_times-{F}(V4,V7,V0,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_f-{F}(V6,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_HOL_Oabs-{F}(V12,V0,V11), P_v_f-{F}(V13,V12), P_v_b-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V0,V15), P_c_times-{F}(V2,V15,V0,V9) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #113: mergings( V0 == V5; #109 ), references = 2, size of lhs = 24:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V5,V0,V3), P_c_times-{F}(V4,V6,V0,V6), c_lessequals-{F}(V1,V6,V0), P_c_times-{F}(V6,V2,V0,V7), P_v_x-{F}(V7,V8), P_v_b-{F}(V8,V9), P_c_times-{F}(V5,V9,V0,V10), P_c_HOL_Oabs-{F}(V10,V0,V10), P_v_f-{F}(V8,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V6,V13,V0,V10), P_c_HOL_Oabs-{F}(V14,V0,V13), P_v_b-{F}(V15,V14), P_v_f-{F}(V15,V16), P_c_HOL_Oabs-{F}(V16,V0,V12) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #123: exists( #10, #111 ), references = 4, size of lhs = 17:
% 16.65/16.89 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_times-{F}(V2,V3,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_c_times-{F}(V4,V7,V0,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_f-{F}(V6,V10), P_v_f-{F}(V11,V10), P_v_b-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V2,V13,V0,V9) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #124: exists( #10, #113 ), references = 2, size of lhs = 22:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V5,V0,V3), P_c_times-{F}(V4,V6,V0,V6), c_lessequals-{F}(V1,V6,V0), P_c_times-{F}(V6,V2,V0,V7), P_v_x-{F}(V7,V8), P_v_b-{F}(V8,V9), P_c_times-{F}(V5,V9,V0,V10), P_c_HOL_Oabs-{F}(V10,V0,V10), P_v_f-{F}(V8,V11), P_v_f-{F}(V12,V11), P_v_b-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V14), P_c_times-{F}(V6,V14,V0,V10) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #133: mergings( V4 == V2, V5 == V9, V6 == V0, V7 == V8; #127 ), references = 1, size of lhs = 17:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_times-{F}(V3,V2,V0,V4), P_v_x-{F}(V4,V5), P_v_b-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V6), P_v_f-{F}(V5,V7), P_v_f-{F}(V8,V7), P_v_b-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V6) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #139: mergings( V4 == V2, V0 == V10, V5 == V9, V6 == V10, V7 == V8; #128 ), references = 1, size of lhs = 20:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V3,V0,V3), P_c_times-{F}(V3,V2,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V7), P_v_f-{F}(V6,V8), P_v_f-{F}(V9,V8), P_v_b-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #147: mergings( V11 == V12, V2 == V6, V3 == V8, V4 == V9, V5 == V7; #140 ), references = 1, size of lhs = 13:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_times-{F}(V3,V2,V0,V4), P_v_x-{F}(V4,V5), P_v_b-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V6) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #154: mergings( V13 == V14, V2 == V6, V11 == V9, V3 == V8, V4 == V9, V5 == V7; #141 ), references = 1, size of lhs = 16:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V3,V0,V3), P_c_times-{F}(V3,V2,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #171: mergings( V4 == V2, V5 == V9, V6 == V0, V7 == V8; #165 ), references = 1, size of lhs = 17:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V4,V5,V0), P_v_b-{F}(V6,V4), P_v_f-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V8,V0,V5), P_c_times-{F}(V3,V9,V0,V10), P_v_x-{F}(V10,V6) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #177: mergings( V4 == V2, V0 == V10, V5 == V9, V6 == V10, V7 == V8; #166 ), references = 1, size of lhs = 20:
% 16.65/16.89 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V3,V0), P_c_HOL_Oabs-{F}(V3,V0,V3), P_c_HOL_Oabs-{F}(V4,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V3,V0,V3), P_c_HOL_Oabs-{F}(V5,V0,V5), c_lessequals-{F}(V5,V6,V0), P_v_b-{F}(V7,V5), P_v_f-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V10,V9,V0,V6), P_c_times-{F}(V3,V10,V0,V11), P_v_x-{F}(V11,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #203: mergings( V4 == V2, V5 == V10, V6 == V0, V7 == V8; #196 ), references = 2, size of lhs = 19:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_times-{F}(V2,V3,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_v_f-{F}(V6,V8), P_v_f-{F}(V9,V8), P_v_b-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_times-{F}(V2,V11,V0,V12), P_c_HOL_Oabs-{F}(V4,V0,V13), P_c_HOL_Oabs-{F}(V7,V0,V14), P_c_times-{F}(V13,V14,V0,V12) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #208: mergings( V4 == V2, V5 == V10, V6 == V0, V7 == V8; #197 ), references = 1, size of lhs = 19:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_c_times-{F}(V2,V6,V0,V7), P_c_times-{F}(V5,V8,V0,V7), P_c_HOL_Oabs-{F}(V9,V0,V8), c_lessequals-{F}(V6,V10,V0), P_v_b-{F}(V11,V9), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_times-{F}(V14,V13,V0,V10), P_c_times-{F}(V2,V14,V0,V15), P_v_x-{F}(V15,V11) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #213: mergings( V4 == V2, V5 == V10, V6 == V0, V7 == V8; #198 ), references = 1, size of lhs = 21:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_ca-{F}(V3), P_v_c-{F}(V4), P_c_times-{F}(V2,V3,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_v_f-{F}(V6,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_HOL_Oabs-{F}(V4,V0,V10), P_c_HOL_Oabs-{F}(V7,V0,V11), P_c_times-{F}(V10,V11,V0,V12), P_c_HOL_Oabs-{F}(V13,V0,V9), P_v_f-{F}(V14,V13), P_v_b-{F}(V14,V15), P_c_HOL_Oabs-{F}(V15,V0,V16), P_c_times-{F}(V2,V16,V0,V12) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #224: exists( #13, #5 ), references = 3, size of lhs = 9:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), class_Ring__and__Field_Oordered__idom-{F}(V4), P_c_HOL_Oabs-{F}(V5,V4,V6), P_c_times-{F}(V5,V7,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), P_c_HOL_Oabs-{F}(V7,V4,V10) | P_c_times-{T}(V6,V10,V4,V9)
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #240: mergings( V3 == V1, V4 == V8, V5 == V9, V6 == V7; #234 ), references = 1, size of lhs = 19:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7), P_v_b-{F}(V7,V8), P_c_times-{F}(V3,V8,V0,V9), P_v_f-{F}(V7,V10), P_v_f-{F}(V11,V10), P_v_b-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_HOL_Oabs-{F}(V14,V0,V13), P_c_times-{F}(V5,V14,V0,V9) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #245: mergings( V3 == V1, V4 == V8, V5 == V9, V6 == V7; #235 ), references = 1, size of lhs = 20:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7), P_v_b-{F}(V7,V8), P_v_f-{F}(V7,V9), P_v_f-{F}(V10,V9), P_v_b-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_HOL_Oabs-{F}(V8,V0,V12), P_c_HOL_Oabs-{F}(V13,V0,V12), P_c_times-{F}(V5,V13,V0,V14) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #252: mergings( V4 == V2, V5 == V9, V6 == V0, V7 == V8; #246 ), references = 1, size of lhs = 17:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V2,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_v_f-{F}(V6,V8), P_v_f-{F}(V9,V8), P_v_b-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_HOL_Oabs-{F}(V7,V0,V11) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #257: mergings( V4 == V2, V5 == V9, V6 == V10, V7 == V8; #247 ), references = 1, size of lhs = 19:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7), P_v_b-{F}(V7,V8), P_v_f-{F}(V7,V9), P_v_f-{F}(V10,V9), P_v_b-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_HOL_Oabs-{F}(V8,V0,V12), P_c_HOL_Oabs-{F}(V13,V0,V12) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #264: mergings( V3 == V1, V4 == V8, V5 == V9, V6 == V7; #258 ), references = 1, size of lhs = 15:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V2,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7), P_v_f-{F}(V6,V8), P_v_f-{F}(V9,V8), P_v_b-{F}(V9,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #269: mergings( V3 == V1, V4 == V8, V5 == V9, V6 == V7; #259 ), references = 1, size of lhs = 16:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7), P_v_b-{F}(V7,V8), P_v_f-{F}(V7,V9), P_v_f-{F}(V10,V9), P_v_b-{F}(V10,V8) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #276: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #270 ), references = 1, size of lhs = 12:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V2,V0,V5), P_v_x-{F}(V5,V6), P_v_b-{F}(V6,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #281: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #271 ), references = 1, size of lhs = 13:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7), P_v_b-{F}(V7,V8) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #288: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #282 ), references = 1, size of lhs = 11:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V2,V0,V5), P_v_x-{F}(V5,V6) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #293: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #283 ), references = 1, size of lhs = 12:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6), P_v_x-{F}(V6,V7) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #300: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #294 ), references = 1, size of lhs = 10:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_times-{F}(V4,V2,V0,V5) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #305: mergings( V2 == V6, V3 == V8, V4 == V9, V5 == V7; #295 ), references = 1, size of lhs = 11:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V4,V2,V0,V6) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #312: mergings( V4 == V2, V5 == V1, V6 == V9, V7 == V8; #306 ), references = 1, size of lhs = 9:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #317: mergings( V4 == V2, V5 == V1, V6 == V9, V7 == V8; #307 ), references = 1, size of lhs = 10:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3), P_c_HOL_Oabs-{F}(V3,V0,V4), c_lessequals-{F}(V1,V4,V0), P_c_HOL_Oabs-{F}(V5,V0,V4) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #329: mergings( V3 == V1, V1 == V6, V4 == V7, V7 == V11, V5 == V8, V8 == V0, V9 == V10; #320 ), references = 1, size of lhs = 8:
% 16.65/16.89 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #337: mergings( V3 == V1, V1 == V6, V4 == V7, V7 == V11, V5 == V8, V8 == V0, V9 == V10; #321 ), references = 1, size of lhs = 8:
% 16.65/16.89 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_ca-{F}(V2), P_v_c-{F}(V3) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #361: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V14, V2 == V5, V5 == V8, V8 == V11, V11 == V15, V15 == V17, V3 == V6, V6 == V9, V9 == V12, V12 == V16, V16 == V18; #344 ), references = 1, size of lhs = 4:
% 16.65/16.89 class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_v_ca-{F}(V1), P_v_c-{F}(V2) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #377: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V11, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V13; #364 ), references = 1, size of lhs = 2:
% 16.65/16.89 P_t_b-{F}(V0), P_v_ca-{F}(V1) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #385: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6; #378 ), references = 1, size of lhs = 1:
% 16.65/16.89 P_t_b-{F}(V0) | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 #388: exists( #12, #378 ), references = 1, size of lhs = 0:
% 16.65/16.89 FALSE | FALSE
% 16.65/16.89 (used 0 times, uses = {})
% 16.65/16.89
% 16.65/16.89 number of learnt formulas = 41
% 16.65/16.89
% 16.65/16.89
% 16.65/16.89 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 16.65/16.89
% 16.65/16.89 randbase = 1
%------------------------------------------------------------------------------