TSTP Solution File: ANA043-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n020.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 05:57:50 EDT 2022
% Result : Unsatisfiable 0.62s 0.78s
% Output : Refutation 0.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA043-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n020.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 00:33:39 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.62/0.78 GeoParameters:
% 0.62/0.78
% 0.62/0.78 tptp_input = 1
% 0.62/0.78 tptp_output = 0
% 0.62/0.78 nonempty = 1
% 0.62/0.78 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.78 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.62/0.78
% 0.62/0.78
% 0.62/0.78 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.78 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.78
% 0.62/0.78 RuleSystem INPUT:
% 0.62/0.78
% 0.62/0.78 Initial Rules:
% 0.62/0.78 #0: input, references = 6, size of lhs = 7:
% 0.62/0.78 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_f-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_v_h-{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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #1: input, references = 5, size of lhs = 15:
% 0.62/0.78 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_k-{F}(V3,V4,V7), P_v_f-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V6,V9,V0,V10), P_v_h-{F}(V7,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V6,V12,V0,V13), P_c_times-{F}(V2,V13,V0,V14), c_lessequals-{F}(V10,V14,V0) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #2: input, references = 4, size of lhs = 2:
% 0.62/0.78 P_t_b-{F}(V0), P_v_c-{F}(V1) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #3: input, references = 6, size of lhs = 5:
% 0.62/0.78 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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #4: input, references = 4, size of lhs = 9:
% 0.62/0.78 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,V7), P_c_times-{F}(V6,V7,V3,V8), P_c_times-{F}(V6,V4,V3,V9), P_c_times-{F}(V5,V9,V3,V10), V8 == V10 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #5: input, references = 5, size of lhs = 8:
% 0.62/0.78 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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #6: input, references = 4, size of lhs = 4:
% 0.62/0.78 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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #7: input, references = 4, size of lhs = 4:
% 0.62/0.78 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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #8: input, references = 4, size of lhs = 4:
% 0.62/0.78 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)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #9: input, references = 9, size of lhs = 2:
% 0.62/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #10: input, references = 5, size of lhs = 1:
% 0.62/0.78 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #11: input, references = 4, size of lhs = 0:
% 0.62/0.78 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #12: input, references = 11, size of lhs = 3:
% 0.62/0.78 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #13: input, references = 4, size of lhs = 0:
% 0.62/0.78 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #14: input, references = 5, size of lhs = 1:
% 0.62/0.78 #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #15: input, references = 4, size of lhs = 2:
% 0.62/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_v_l-{T}(V0,V1,V2)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #16: input, references = 4, size of lhs = 1:
% 0.62/0.78 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #17: input, references = 4, size of lhs = 1:
% 0.62/0.78 #-{F} V0 | EXISTS V1: P_v_xa-{T}(V0,V1)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #18: input, references = 5, size of lhs = 2:
% 0.62/0.78 #-{F} V0, #-{F} V1 | EXISTS V2: P_v_k-{T}(V0,V1,V2)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #19: input, references = 4, size of lhs = 0:
% 0.62/0.78 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 number of initial rules = 20
% 0.62/0.78
% 0.62/0.78 Simplifiers:
% 0.62/0.78 #20: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #21: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #22: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #23: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 class_OrderedGroup_Oab__semigroup__mult-{F}(V0), class_OrderedGroup_Oab__semigroup__mult-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #24: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #25: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #26: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #27: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #28: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #29: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #30: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #31: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_l-{F}(V0,V1,V2), P_v_l-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #32: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #33: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_xa-{F}(V0,V1), P_v_xa-{F}(V0,V3), V1 == V3 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #34: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_v_k-{F}(V0,V1,V2), P_v_k-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #35: unsound, references = 3, size of lhs = 3:
% 0.62/0.78 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 number of simplifiers = 16
% 0.62/0.78
% 0.62/0.78 Learnt:
% 0.62/0.78 #37: exists( #12, #4 ), references = 2, size of lhs = 7:
% 0.62/0.78 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-{F}(V7,V6,V3,V8), P_c_times-{F}(V7,V5,V3,V9) | P_c_times-{T}(V4,V9,V3,V8)
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #46: mergings( V4 == V2, V2 == V7, V5 == V8, V8 == V10, V6 == V9; #40 ), references = 1, size of lhs = 17:
% 0.62/0.78 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_c_HOL_Oabs-{F}(V4,V0,V3), c_lessequals-{F}(V5,V5,V0), P_c_times-{F}(V6,V5,V0,V5), P_v_x-{F}(V6,V7), P_v_xa-{F}(V6,V8), P_v_l-{F}(V7,V8,V4), P_v_k-{F}(V7,V8,V9), P_v_f-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V5), P_v_h-{F}(V9,V11), P_c_HOL_Oabs-{F}(V11,V0,V5) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #56: mergings( V4 == V2, V2 == V7, V5 == V8, V8 == V10, V6 == V9; #50 ), references = 3, size of lhs = 21:
% 0.62/0.78 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}(V2,V4,V0,V5), c_lessequals-{F}(V4,V6,V0), P_v_x-{F}(V7,V8), P_v_xa-{F}(V7,V9), P_v_l-{F}(V8,V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_v_k-{F}(V8,V9,V12), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V14), P_c_times-{F}(V11,V14,V0,V5), P_v_h-{F}(V12,V15), P_c_HOL_Oabs-{F}(V15,V0,V16), P_c_times-{F}(V11,V16,V0,V17), P_c_times-{F}(V7,V18,V0,V6), P_c_times-{F}(V2,V18,V0,V17) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #67: mergings( V3 == V6, V6 == V7, V7 == V10, V4 == V8, V8 == V11, V11 == V14, V5 == V9, V9 == V12; #58 ), references = 1, size of lhs = 22:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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}(V2,V1,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_x-{F}(V7,V8), P_v_xa-{F}(V7,V9), P_v_l-{F}(V8,V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_v_k-{F}(V8,V9,V12), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V14), P_c_times-{F}(V11,V14,V0,V4), P_v_h-{F}(V12,V15), P_c_HOL_Oabs-{F}(V15,V0,V16), P_c_times-{F}(V11,V16,V0,V17), P_c_times-{F}(V7,V18,V0,V6), P_c_times-{F}(V2,V18,V0,V17) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #71: mergings( V0 == V5; #69 ), references = 2, size of lhs = 19:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_h-{F}(V6,V9), P_c_HOL_Oabs-{F}(V9,V0,V8), P_c_HOL_Oabs-{F}(V10,V0,V8), P_v_f-{F}(V11,V10), P_v_h-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V8) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #73: exists( #9, #71 ), references = 1, size of lhs = 15:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V7), P_v_h-{F}(V6,V7), P_v_f-{F}(V8,V7), P_v_h-{F}(V8,V7) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #75: exists( #12, #56 ), references = 3, size of lhs = 19:
% 0.62/0.78 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_x-{F}(V5,V6), P_v_xa-{F}(V5,V7), P_v_l-{F}(V6,V7,V4), P_v_k-{F}(V6,V7,V8), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_v_h-{F}(V8,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V3,V12,V0,V13), P_c_times-{F}(V3,V14,V0,V13), P_c_times-{F}(V5,V14,V0,V15), c_lessequals-{F}(V10,V15,V0) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #79: mergings( V3 == V5; #77 ), references = 2, size of lhs = 21:
% 0.62/0.78 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,V6), P_v_h-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V2,V8,V0,V9), P_v_f-{F}(V10,V6), P_v_h-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V3,V12,V0,V13), P_c_times-{F}(V3,V14,V0,V13), P_c_times-{F}(V15,V14,V0,V9), P_v_x-{F}(V15,V16), P_v_xa-{F}(V15,V17), P_v_l-{F}(V16,V17,V4), P_v_k-{F}(V16,V17,V10) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #82: mergings( V0 == V5; #80 ), references = 2, size of lhs = 17:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V7), P_v_f-{F}(V8,V7), P_v_h-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_v_h-{F}(V6,V11), P_c_HOL_Oabs-{F}(V11,V0,V10) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #85: exists( #9, #82 ), references = 1, size of lhs = 15:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V7), P_v_f-{F}(V8,V7), P_v_h-{F}(V8,V9), P_v_h-{F}(V6,V9) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #87: exists( #14, #84 ), references = 1, size of lhs = 12:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V7) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #89: exists( #10, #86 ), references = 1, size of lhs = 11:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_k-{F}(V3,V4,V6) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #91: exists( #18, #88 ), references = 1, size of lhs = 10:
% 0.62/0.78 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,V2,V0), P_v_x-{F}(V2,V3), P_v_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #96: exists( #12, #75 ), references = 1, size of lhs = 17:
% 0.62/0.78 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_x-{F}(V5,V6), P_v_xa-{F}(V5,V7), P_v_l-{F}(V6,V7,V4), P_v_k-{F}(V6,V7,V8), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_v_h-{F}(V8,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V5,V12,V0,V13), c_lessequals-{F}(V10,V13,V0) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #97: exists( #12, #79 ), references = 1, size of lhs = 19:
% 0.62/0.78 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,V6), P_v_h-{F}(V5,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V2,V8,V0,V9), P_v_f-{F}(V10,V6), P_v_h-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V13,V12,V0,V9), P_v_x-{F}(V13,V14), P_v_xa-{F}(V13,V15), P_v_l-{F}(V14,V15,V4), P_v_k-{F}(V14,V15,V10) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #105: mergings( V3 == V1, V4 == V6; #101 ), references = 2, size of lhs = 18:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_f-{F}(V3,V4), P_v_h-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V2,V6,V0,V7), P_v_f-{F}(V8,V4), P_v_h-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V11,V10,V0,V7), P_v_x-{F}(V11,V12), P_v_xa-{F}(V11,V13), P_v_k-{F}(V12,V13,V8), P_v_l-{F}(V12,V13,V14) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #109: mergings( V3 == V1, V4 == V5, V5 == V7; #102 ), references = 2, size of lhs = 18:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_f-{F}(V3,V4), P_v_h-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V2,V6,V0,V7), P_v_f-{F}(V8,V4), P_v_h-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V11,V10,V0,V7), P_v_x-{F}(V11,V12), P_v_xa-{F}(V11,V13), P_v_l-{F}(V12,V13,V4), P_v_k-{F}(V12,V13,V8) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #114: exists( #12, #105 ), references = 2, size of lhs = 16:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_k-{F}(V3,V4,V5), P_v_f-{F}(V5,V6), P_v_f-{F}(V7,V6), P_v_h-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_h-{F}(V5,V10), P_c_HOL_Oabs-{F}(V10,V0,V9), P_v_l-{F}(V3,V4,V11) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #115: exists( #12, #109 ), references = 2, size of lhs = 16:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_v_f-{F}(V6,V5), P_v_h-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_k-{F}(V3,V4,V9), P_v_f-{F}(V9,V5), P_v_h-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V8) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #118: exists( #9, #114 ), references = 1, size of lhs = 14:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_k-{F}(V3,V4,V5), P_v_f-{F}(V5,V6), P_v_f-{F}(V7,V6), P_v_h-{F}(V7,V8), P_v_h-{F}(V5,V8), P_v_l-{F}(V3,V4,V9) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #119: exists( #9, #115 ), references = 1, size of lhs = 14:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_v_f-{F}(V6,V5), P_v_h-{F}(V6,V7), P_v_k-{F}(V3,V4,V8), P_v_f-{F}(V8,V5), P_v_h-{F}(V8,V7) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #122: exists( #14, #116 ), references = 1, size of lhs = 11:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_k-{F}(V3,V4,V5), P_v_f-{F}(V5,V6), P_v_l-{F}(V3,V4,V7) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #123: exists( #14, #117 ), references = 1, size of lhs = 11:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5), P_v_k-{F}(V3,V4,V6), P_v_f-{F}(V6,V5) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #125: exists( #10, #120 ), references = 1, size of lhs = 10:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_k-{F}(V3,V4,V5), P_v_l-{F}(V3,V4,V6) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #127: exists( #18, #124 ), references = 1, size of lhs = 9:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4), P_v_l-{F}(V3,V4,V5) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #129: exists( #15, #126 ), references = 1, size of lhs = 8:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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_xa-{F}(V2,V4) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #131: exists( #17, #128 ), references = 1, size of lhs = 7:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #133: exists( #16, #130 ), references = 1, size of lhs = 6:
% 0.62/0.78 class_OrderedGroup_Olordered__ab__group__abs-{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
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #144: mergings( V1 == V3, V3 == V5, V5 == V7, V2 == V4, V4 == V6, V6 == V8; #137 ), references = 1, size of lhs = 3:
% 0.62/0.78 class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_b-{F}(V0), P_v_c-{F}(V1) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #150: mergings( V1 == V2, V2 == V3, V3 == V4; #146 ), references = 1, size of lhs = 1:
% 0.62/0.78 P_t_b-{F}(V0) | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 #152: exists( #11, #146 ), references = 1, size of lhs = 0:
% 0.62/0.78 FALSE | FALSE
% 0.62/0.78 (used 0 times, uses = {})
% 0.62/0.78
% 0.62/0.78 number of learnt formulas = 31
% 0.62/0.78
% 0.62/0.78
% 0.62/0.78 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.62/0.78
% 0.62/0.78 randbase = 1
%------------------------------------------------------------------------------