TSTP Solution File: ANA018-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n028.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 2.55s 2.72s
% Output : Refutation 2.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : ANA018-2 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n028.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 00:32:43 EDT 2022
% 0.12/0.33 % CPUTime :
% 2.55/2.72 GeoParameters:
% 2.55/2.72
% 2.55/2.72 tptp_input = 1
% 2.55/2.72 tptp_output = 0
% 2.55/2.72 nonempty = 1
% 2.55/2.72 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.72 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 2.55/2.72
% 2.55/2.72
% 2.55/2.72 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.72 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.72
% 2.55/2.72 RuleSystem INPUT:
% 2.55/2.72
% 2.55/2.72 Initial Rules:
% 2.55/2.72 #0: input, references = 10, size of lhs = 7:
% 2.55/2.72 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_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)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #1: input, references = 4, size of lhs = 4:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3) | c_less-{T}(V2,V3,V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #2: input, references = 9, size of lhs = 9:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V3,V8,V0,V9) | c_lessequals-{T}(V6,V9,V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #3: input, references = 6, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), c_lessequals-{F}(V6,V10,V0) | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #4: input, references = 6, size of lhs = 11:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #5: input, references = 4, size of lhs = 17:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_OrderedGroup_Osemigroup__mult-{F}(V11), P_c_times-{F}(V14,V13,V11,V15), P_c_times-{F}(V15,V12,V11,V16), P_c_times-{F}(V13,V12,V11,V17), P_c_times-{F}(V14,V17,V11,V18), V16 == V18 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #6: input, references = 5, size of lhs = 14:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Orderings_Oorder-{F}(V11), c_lessequals-{F}(V14,V13,V11), c_lessequals-{F}(V12,V14,V11) | c_lessequals-{T}(V12,V13,V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #7: input, references = 5, size of lhs = 13:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Orderings_Oorder-{F}(V11), c_less-{F}(V12,V13,V11) | c_lessequals-{T}(V12,V13,V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #8: input, references = 5, size of lhs = 16:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Ring__and__Field_Opordered__semiring-{F}(V11), c_lessequals-{F}(V2,V12,V11), P_c_times-{F}(V12,V14,V11,V15), P_c_times-{F}(V12,V13,V11,V16), c_lessequals-{F}(V14,V13,V11) | c_lessequals-{T}(V15,V16,V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #9: input, references = 5, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_LOrder_Ojoin__semilorder-{F}(V11) | class_Orderings_Oorder-{T}(V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #10: input, references = 4, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_OrderedGroup_Osemigroup__mult-{T}(V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #11: input, references = 5, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_LOrder_Ojoin__semilorder-{T}(V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #12: input, references = 5, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V3,V1,V0,V7), P_v_g-{F}(V4,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V7,V9,V0,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_Ring__and__Field_Opordered__semiring-{T}(V11)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #13: input, references = 12, size of lhs = 2:
% 2.55/2.72 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #14: input, references = 4, size of lhs = 1:
% 2.55/2.72 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #15: input, references = 4, size of lhs = 0:
% 2.55/2.72 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #16: input, references = 24, size of lhs = 3:
% 2.55/2.72 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #17: input, references = 4, size of lhs = 0:
% 2.55/2.72 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #18: input, references = 4, size of lhs = 1:
% 2.55/2.72 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #19: input, references = 4, size of lhs = 0:
% 2.55/2.72 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #20: input, references = 4, size of lhs = 0:
% 2.55/2.72 FALSE | EXISTS V0: P_v_ca-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #21: input, references = 5, size of lhs = 1:
% 2.55/2.72 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #22: input, references = 4, size of lhs = 0:
% 2.55/2.72 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 number of initial rules = 23
% 2.55/2.72
% 2.55/2.72 Simplifiers:
% 2.55/2.72 #23: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #24: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V2 == V5 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #25: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V0 == V3 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #26: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V1 == V4 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #27: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #28: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #29: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #30: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #31: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 class_LOrder_Ojoin__semilorder-{F}(V0), class_LOrder_Ojoin__semilorder-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #32: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #33: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #34: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #35: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #36: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #37: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #38: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #39: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_ca-{F}(V0), P_v_ca-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #40: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #41: unsound, references = 3, size of lhs = 3:
% 2.55/2.72 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 number of simplifiers = 19
% 2.55/2.72
% 2.55/2.72 Learnt:
% 2.55/2.72 #60: mergings( V4 == V11, V11 == V18, V5 == V12, V12 == V19, V6 == V13, V13 == V20, V7 == V14, V10 == V17, V8 == V15, V9 == V16, V14 == V21, V17 == V24, V15 == V22, V16 == V23; #45 ), references = 5, size of lhs = 15:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V10,V11,V0,V12), P_c_times-{F}(V12,V13,V0,V14), P_c_times-{F}(V11,V13,V0,V15), P_c_times-{F}(V10,V15,V0,V16), V14 == V16 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #72: mergings( V4 == V8, V8 == V15, V5 == V9, V7 == V11, V6 == V10, V12 == V14, V9 == V16, V11 == V19, V10 == V17, V14 == V18; #61 ), references = 1, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V10,V0,V3), P_c_times-{F}(V10,V1,V0,V11), P_c_times-{F}(V9,V11,V0,V12) | P_c_times-{T}(V3,V1,V0,V12)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #76: exists( #16, #60 ), references = 1, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V3,V9,V0,V10), P_c_times-{F}(V9,V11,V0,V1), P_c_times-{F}(V10,V11,V0,V12) | P_c_times-{T}(V3,V1,V0,V12)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #79: exists( #16, #60 ), references = 3, size of lhs = 14:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V10,V0,V11), P_c_times-{F}(V11,V12,V0,V13), P_c_times-{F}(V10,V12,V0,V14), P_c_times-{F}(V9,V14,V0,V15), V13 == V15 | FALSE
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #81: exists( #16, #78 ), references = 6, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V10,V0,V11), P_c_times-{F}(V10,V12,V0,V13), P_c_times-{F}(V9,V13,V0,V14) | P_c_times-{T}(V11,V12,V0,V14)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #93: exists( #16, #79 ), references = 4, size of lhs = 12:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V10,V0,V11), P_c_times-{F}(V11,V12,V0,V13), P_c_times-{F}(V10,V12,V0,V14) | P_c_times-{T}(V9,V14,V0,V13)
% 2.55/2.72 (used 0 times, uses = {})
% 2.55/2.72
% 2.55/2.72 #94: exists( #16, #60 ), references = 1, size of lhs = 13:
% 2.55/2.72 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V10,V11,V0,V12), P_c_times-{F}(V12,V13,V0,V14), P_c_times-{F}(V11,V13,V0,V15) | P_c_times-{T}(V10,V15,V0,V14)
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #203: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V28, V28 == V34, V34 == V40, V40 == V46, V46 == V65, V65 == V72, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V35, V35 == V41, V41 == V47, V47 == V66, V66 == V73, V6 == V12, V12 == V18, V18 == V24, V24 == V30, V30 == V36, V36 == V42, V42 == V48, V48 == V67, V67 == V74, V7 == V13, V9 == V15, V53 == V59, V8 == V14, V52 == V58, V13 == V19, V15 == V21, V56 == V59, V14 == V20, V58 == V60, V19 == V25, V21 == V27, V20 == V26, V54 == V60, V25 == V31, V27 == V33, V26 == V32, V57 == V60, V31 == V37, V33 == V39, V32 == V38, V60 == V61, V37 == V43, V39 == V45, V38 == V44, V61 == V62, V43 == V49, V45 == V51, V44 == V50, V62 == V63, V49 == V68, V51 == V71, V50 == V69, V63 == V70, V68 == V75, V71 == V78, V69 == V76, V70 == V77; #137 ), references = 3, size of lhs = 18:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V3,V0), P_v_ca-{F}(V4), P_c_times-{F}(V4,V1,V0,V5), P_v_xa-{F}(V6), P_v_x-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_g-{F}(V6,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), c_lessequals-{F}(V8,V11,V0), P_c_times-{F}(V3,V12,V0,V11), c_lessequals-{F}(V12,V13,V0), P_c_times-{F}(V14,V10,V0,V15), P_c_times-{F}(V16,V15,V0,V13), P_c_times-{F}(V3,V16,V0,V17), P_c_times-{F}(V17,V14,V0,V5) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #276: mergings( V0 == V4, V4 == V10, V10 == V16, V16 == V22, V22 == V1, V5 == V11, V11 == V17, V17 == V23, V23 == V28, V28 == V32, V32 == V36, V36 == V40, V40 == V44, V44 == V48, V48 == V67, V67 == V72, V1 == V6, V6 == V12, V12 == V18, V18 == V24, V7 == V13, V9 == V15, V53 == V55, V8 == V14, V52 == V54, V13 == V19, V15 == V21, V55 == V57, V14 == V20, V54 == V56, V19 == V25, V21 == V27, V57 == V62, V20 == V26, V56 == V61, V25 == V29, V27 == V31, V59 == V62, V26 == V30, V61 == V63, V29 == V33, V31 == V35, V30 == V34, V58 == V63, V33 == V37, V35 == V39, V34 == V38, V60 == V63, V37 == V41, V39 == V43, V38 == V42, V63 == V64, V41 == V45, V43 == V47, V42 == V46, V64 == V65, V45 == V49, V47 == V51, V46 == V50, V65 == V66, V49 == V68, V51 == V71, V50 == V69, V66 == V70, V68 == V73, V71 == V75, V69 == V74, V70 == V24; #207 ), references = 2, size of lhs = 20:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V0), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V1,V6), P_c_HOL_Oabs-{F}(V7,V1,V0), P_v_f-{F}(V8,V7), P_v_g-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V1,V0), P_c_times-{F}(V10,V6,V1,V11), P_c_times-{F}(V12,V10,V1,V0), P_c_times-{F}(V0,V12,V1,V13), P_c_times-{F}(V0,V14,V1,V13), P_c_times-{F}(V14,V15,V1,V0), P_c_times-{F}(V15,V0,V1,V11) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #355: mergings( V1 == V10, V4 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V10, V5 == V12, V12 == V18, V18 == V24, V24 == V30, V30 == V35, V35 == V39, V39 == V43, V43 == V47, V47 == V51, V51 == V55, V55 == V75, V75 == V80, V6 == V10, V10 == V13, V13 == V19, V19 == V25, V25 == V31, V7 == V14, V9 == V16, V60 == V62, V8 == V15, V59 == V61, V14 == V20, V16 == V22, V62 == V64, V15 == V21, V61 == V63, V20 == V26, V22 == V28, V64 == V66, V21 == V27, V63 == V65, V26 == V32, V28 == V34, V66 == V70, V27 == V33, V65 == V69, V32 == V36, V34 == V38, V31 == V70, V33 == V37, V69 == V71, V36 == V40, V38 == V42, V37 == V41, V67 == V71, V40 == V44, V42 == V46, V41 == V45, V68 == V71, V44 == V48, V46 == V50, V45 == V49, V71 == V72, V48 == V52, V50 == V54, V49 == V53, V72 == V73, V52 == V56, V54 == V58, V53 == V57, V73 == V74, V56 == V76, V58 == V79, V57 == V77, V74 == V78, V76 == V81, V79 == V83, V77 == V82, V78 == V70; #278 ), references = 1, size of lhs = 17:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V0), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V1,V0), P_c_HOL_Oabs-{F}(V6,V1,V0), P_v_f-{F}(V7,V6), P_v_g-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V1,V0), P_c_times-{F}(V9,V10,V1,V0), P_c_times-{F}(V10,V11,V1,V0), P_c_times-{F}(V11,V9,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #385: mergings( V0 == V4, V4 == V6, V6 == V12, V12 == V1, V5 == V7, V7 == V13, V13 == V22, V1 == V8, V8 == V14, V9 == V15, V11 == V17, V19 == V21, V10 == V16, V18 == V20, V15 == V23, V17 == V26, V21 == V27, V16 == V24, V20 == V25; #365 ), references = 1, size of lhs = 24:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V5), P_v_g-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V1,V7), P_c_HOL_Oabs-{F}(V8,V1,V0), P_v_g-{F}(V9,V8), P_v_f-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V1,V0), P_c_HOL_Oabs-{F}(V11,V1,V5), P_v_x-{F}(V12,V11), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V1,V0), P_c_times-{F}(V14,V7,V1,V15), P_c_times-{F}(V16,V14,V1,V15), P_c_times-{F}(V17,V14,V1,V0), P_c_times-{F}(V0,V17,V1,V18), P_c_times-{F}(V0,V19,V1,V18), P_c_times-{F}(V19,V16,V1,V18) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #415: mergings( V4 == V1, V1 == V10, V10 == V12, V12 == V18, V18 == V30, V5 == V11, V11 == V13, V13 == V19, V19 == V31, V6 == V30, V30 == V14, V14 == V20, V7 == V15, V9 == V17, V25 == V27, V8 == V16, V24 == V26, V15 == V21, V17 == V23, V27 == V29, V16 == V22, V26 == V28, V21 == V32, V23 == V35, V29 == V20, V22 == V33, V28 == V34; #387 ), references = 1, size of lhs = 21:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V5), P_v_g-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V1,V0), P_c_times-{F}(V7,V7,V1,V0), P_c_times-{F}(V7,V8,V1,V0), P_c_times-{F}(V8,V7,V1,V0), P_c_HOL_Oabs-{F}(V9,V1,V0), P_v_g-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V1,V0), P_c_HOL_Oabs-{F}(V12,V1,V5), P_v_x-{F}(V13,V12), P_v_f-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #438: mergings( V3 == V8, V8 == V9, V9 == V11, V11 == V16, V16 == V24, V4 == V10, V10 == V12, V12 == V17, V17 == V25, V5 == V24, V24 == V13, V13 == V18, V6 == V14, V7 == V15, V21 == V22, V14 == V19, V15 == V20, V22 == V23, V19 == V26, V20 == V27, V23 == V18; #416 ), references = 1, size of lhs = 19:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V1,V0), P_c_times-{F}(V6,V6,V1,V0), P_c_times-{F}(V6,V7,V1,V0), P_c_times-{F}(V7,V6,V1,V0), P_v_x-{F}(V8,V4), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V1,V0), P_c_HOL_Oabs-{F}(V10,V1,V0), P_v_g-{F}(V11,V10), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #443: exists( #16, #276 ), references = 1, size of lhs = 18:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V0), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V1,V0), P_c_HOL_Oabs-{F}(V6,V1,V0), P_v_f-{F}(V7,V6), P_v_g-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V1,V0), P_c_times-{F}(V9,V10,V1,V0), P_c_times-{F}(V0,V9,V1,V11), P_c_times-{F}(V0,V12,V1,V11), P_c_times-{F}(V12,V10,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #445: exists( #16, #442 ), references = 1, size of lhs = 15:
% 2.55/2.73 P_v_ca-{F}(V0), P_v_c-{F}(V0), P_t_b-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V0,V1), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V1,V0), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V1,V0), P_c_HOL_Oabs-{F}(V6,V1,V0), P_v_f-{F}(V7,V6), P_v_g-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V1,V0), P_c_times-{F}(V9,V10,V1,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #515: mergings( V4 == V10, V10 == V16, V16 == V22, V22 == V28, V28 == V34, V34 == V40, V40 == V56, V56 == V63, V5 == V11, V11 == V17, V17 == V23, V23 == V29, V29 == V35, V35 == V41, V41 == V57, V57 == V64, V6 == V12, V12 == V18, V18 == V24, V24 == V30, V30 == V36, V36 == V42, V42 == V58, V58 == V65, V7 == V13, V9 == V15, V47 == V50, V8 == V14, V46 == V52, V13 == V19, V15 == V21, V14 == V20, V48 == V52, V19 == V25, V21 == V27, V20 == V26, V51 == V52, V25 == V31, V27 == V33, V26 == V32, V52 == V53, V31 == V37, V33 == V39, V32 == V38, V53 == V54, V37 == V43, V39 == V45, V38 == V44, V54 == V55, V43 == V59, V45 == V62, V44 == V60, V55 == V61, V59 == V66, V62 == V69, V60 == V67, V61 == V68; #457 ), references = 4, size of lhs = 16:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V3,V0), P_v_ca-{F}(V4), P_c_times-{F}(V4,V1,V0,V5), P_v_xa-{F}(V6), P_v_x-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_v_g-{F}(V6,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V3,V11,V0,V5), P_c_times-{F}(V11,V10,V0,V12), c_lessequals-{F}(V13,V12,V0), P_c_times-{F}(V3,V13,V0,V14), c_lessequals-{F}(V8,V14,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #561: mergings( V3 == V0, V4 == V9, V9 == V13, V13 == V17, V17 == V21, V21 == V25, V25 == V29, V29 == V41, V41 == V46, V5 == V0, V6 == V10, V8 == V12, V34 == V0, V7 == V11, V33 == V37, V10 == V14, V12 == V16, V11 == V15, V35 == V37, V14 == V18, V16 == V20, V15 == V19, V36 == V37, V18 == V22, V20 == V24, V19 == V23, V37 == V38, V22 == V26, V24 == V28, V23 == V27, V38 == V39, V26 == V30, V28 == V32, V27 == V31, V39 == V40, V30 == V42, V32 == V45, V31 == V43, V40 == V44, V42 == V47, V45 == V49, V43 == V48, V44 == V0; #517 ), references = 1, size of lhs = 14:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V1), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V1), P_c_HOL_Oabs-{F}(V6,V0,V1), P_v_f-{F}(V7,V6), P_v_g-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #570: mergings( V3 == V0, V4 == V5; #567 ), references = 1, size of lhs = 18:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_g-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V1), P_c_HOL_Oabs-{F}(V7,V0,V1), P_v_g-{F}(V8,V7), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V1), P_c_HOL_Oabs-{F}(V10,V0,V5), P_v_x-{F}(V11,V10), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #574: mergings( V3 == V5, V4 == V6; #571 ), references = 1, size of lhs = 16:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V1), P_v_x-{F}(V6,V4), P_v_f-{F}(V6,V7), P_c_HOL_Oabs-{F}(V7,V0,V1), P_c_HOL_Oabs-{F}(V8,V0,V1), P_v_g-{F}(V9,V8), P_v_f-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #593: mergings( V4 == V6, V5 == V7, V0 == V8; #587 ), references = 2, size of lhs = 14:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_c_times-{F}(V3,V1,V0,V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V6), P_v_x-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V8) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #598: mergings( V0 == V4, V4 == V6, V5 == V7, V6 == V8; #588 ), references = 2, size of lhs = 19:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_c_times-{F}(V1,V1,V0,V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V8), P_v_g-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V8), P_c_HOL_Oabs-{F}(V12,V0,V6), P_v_x-{F}(V13,V12), P_v_f-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V0,V8) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #611: mergings( V0 == V4, V4 == V6, V6 == V14, V5 == V7, V7 == V15, V14 == V8, V8 == V16, V9 == V18, V11 == V21, V13 == V1, V10 == V19, V12 == V20; #589 ), references = 1, size of lhs = 22:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_c_times-{F}(V1,V1,V0,V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_times-{F}(V9,V1,V0,V1), P_c_times-{F}(V1,V9,V0,V10), P_c_times-{F}(V10,V1,V0,V3), P_c_HOL_Oabs-{F}(V11,V0,V6), P_v_x-{F}(V12,V11), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V8), P_c_HOL_Oabs-{F}(V14,V0,V8), P_v_f-{F}(V15,V14), P_v_g-{F}(V15,V16), P_c_HOL_Oabs-{F}(V16,V0,V8) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #616: exists( #16, #598 ), references = 1, size of lhs = 18:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_g-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_HOL_Oabs-{F}(V8,V0,V7), P_v_g-{F}(V9,V8), P_v_f-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V7), P_c_HOL_Oabs-{F}(V11,V0,V5), P_v_x-{F}(V12,V11), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V7) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #618: exists( #13, #615 ), references = 1, size of lhs = 16:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_x-{F}(V7,V4), P_v_f-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V6), P_c_HOL_Oabs-{F}(V9,V0,V6), P_v_g-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V6) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #620: exists( #13, #617 ), references = 1, size of lhs = 12:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_x-{F}(V3,V4), P_v_g-{F}(V3,V5), P_v_x-{F}(V6,V4), P_v_f-{F}(V6,V5), P_v_g-{F}(V7,V5), P_v_f-{F}(V7,V5) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #622: exists( #21, #619 ), references = 1, size of lhs = 10:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_v_ca-{F}(V1), P_c_0-{F}(V2), c_less-{F}(V2,V1,V0), P_v_xa-{F}(V3), P_v_g-{F}(V3,V4), P_v_f-{F}(V3,V4), P_v_g-{F}(V5,V4), P_v_f-{F}(V5,V4) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #624: exists( #13, #593 ), references = 1, size of lhs = 12:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_c_times-{F}(V3,V1,V0,V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_v_f-{F}(V8,V7), P_v_x-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V6) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #627: exists( #13, #79 ), references = 1, size of lhs = 13:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_c_times-{F}(V8,V9,V0,V10), P_c_times-{F}(V10,V11,V0,V12), P_c_times-{F}(V9,V11,V0,V13), P_c_times-{F}(V8,V13,V0,V14), V12 == V14 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #628: exists( #13, #60 ), references = 1, size of lhs = 14:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_c_times-{F}(V9,V10,V0,V11), P_c_times-{F}(V11,V12,V0,V13), P_c_times-{F}(V10,V12,V0,V14), P_c_times-{F}(V9,V14,V0,V15), V13 == V15 | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #634: mergings( V4 == V6, V5 == V7, V0 == V8; #630 ), references = 2, size of lhs = 18:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_times-{F}(V3,V10,V0,V4), P_c_times-{F}(V10,V9,V0,V11), c_lessequals-{F}(V12,V11,V0), P_c_HOL_Oabs-{F}(V13,V0,V7), P_v_x-{F}(V14,V13), P_v_f-{F}(V14,V15), P_c_HOL_Oabs-{F}(V15,V0,V12) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #647: mergings( V0 == V4; #644 ), references = 1, size of lhs = 19:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_c_HOL_Oabs-{F}(V10,V0,V9), P_v_g-{F}(V11,V10), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V13), P_c_HOL_Oabs-{F}(V14,V0,V7), P_v_x-{F}(V15,V14), P_v_f-{F}(V15,V16), P_c_HOL_Oabs-{F}(V16,V0,V13) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #650: mergings( V3 == V4; #648 ), references = 1, size of lhs = 17:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_c_times-{F}(V3,V1,V0,V4), P_v_xa-{F}(V5), P_v_x-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_g-{F}(V5,V8), P_v_g-{F}(V9,V8), P_v_f-{F}(V9,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_HOL_Oabs-{F}(V12,V0,V7), P_v_x-{F}(V13,V12), P_v_f-{F}(V13,V14), P_c_HOL_Oabs-{F}(V14,V0,V11) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #652: exists( #16, #648 ), references = 1, size of lhs = 16:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_g-{F}(V4,V7), P_v_g-{F}(V8,V7), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_HOL_Oabs-{F}(V11,V0,V6), P_v_x-{F}(V12,V11), P_v_f-{F}(V12,V13), P_c_HOL_Oabs-{F}(V13,V0,V10) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #654: exists( #13, #651 ), references = 1, size of lhs = 14:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_v_g-{F}(V4,V6), P_v_g-{F}(V7,V6), P_v_f-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V9), P_v_x-{F}(V10,V5), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V9) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #656: exists( #13, #653 ), references = 1, size of lhs = 12:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4), P_v_x-{F}(V4,V5), P_v_g-{F}(V4,V6), P_v_g-{F}(V7,V6), P_v_f-{F}(V7,V8), P_v_x-{F}(V9,V5), P_v_f-{F}(V9,V8) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #658: exists( #21, #655 ), references = 1, size of lhs = 10:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4), P_v_g-{F}(V4,V5), P_v_g-{F}(V6,V5), P_v_f-{F}(V6,V7), P_v_f-{F}(V4,V7) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #660: exists( #18, #657 ), references = 1, size of lhs = 7:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4), P_v_f-{F}(V4,V5) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #662: exists( #14, #659 ), references = 1, size of lhs = 6:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0), P_v_xa-{F}(V4) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #664: exists( #22, #661 ), references = 1, size of lhs = 5:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_ca-{F}(V3), c_less-{F}(V2,V3,V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #668: mergings( V1 == V3; #666 ), references = 1, size of lhs = 3:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #671: mergings( V1 == V3; #669 ), references = 1, size of lhs = 2:
% 2.55/2.73 P_t_b-{F}(V0), P_v_c-{F}(V1) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #673: exists( #17, #669 ), references = 1, size of lhs = 1:
% 2.55/2.73 P_t_b-{F}(V0) | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 #675: exists( #15, #672 ), references = 1, size of lhs = 0:
% 2.55/2.73 FALSE | FALSE
% 2.55/2.73 (used 0 times, uses = {})
% 2.55/2.73
% 2.55/2.73 number of learnt formulas = 43
% 2.55/2.73
% 2.55/2.73
% 2.55/2.73 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.55/2.73
% 2.55/2.73 randbase = 1
%------------------------------------------------------------------------------