TSTP Solution File: ANA014-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 05:57:45 EDT 2022
% Result : Unsatisfiable 6.80s 6.98s
% Output : Refutation 6.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA014-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n007.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 00:14:27 EDT 2022
% 0.12/0.33 % CPUTime :
% 6.80/6.98 GeoParameters:
% 6.80/6.98
% 6.80/6.98 tptp_input = 1
% 6.80/6.98 tptp_output = 0
% 6.80/6.98 nonempty = 1
% 6.80/6.98 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/6.98 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 6.80/6.98
% 6.80/6.98
% 6.80/6.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/6.98 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/6.98
% 6.80/6.98 RuleSystem INPUT:
% 6.80/6.98
% 6.80/6.98 Initial Rules:
% 6.80/6.98 #0: input, references = 4, size of lhs = 2:
% 6.80/6.98 P_v_c-{F}(V1), P_c_0-{F}(V1) | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #1: input, references = 6, size of lhs = 10:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_v_x-{F}(V4,V5), P_v_f-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V2,V7), P_c_times-{F}(V3,V7,V2,V8), P_c_times-{F}(V4,V8,V2,V9), c_lessequals-{F}(V7,V9,V2) | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #2: input, references = 10, size of lhs = 4:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3) | class_Ring__and__Field_Oordered__field-{T}(V2)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #3: input, references = 5, size of lhs = 8:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_OrderedGroup_Omonoid__mult-{F}(V5), P_c_times-{F}(V4,V6,V5,V7), V7 == V6 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #4: input, references = 8, size of lhs = 11:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_OrderedGroup_Osemigroup__mult-{F}(V5), P_c_times-{F}(V8,V7,V5,V9), P_c_times-{F}(V9,V6,V5,V10), P_c_times-{F}(V7,V6,V5,V11), P_c_times-{F}(V8,V11,V5,V12), V10 == V12 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #5: input, references = 7, size of lhs = 7:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Orderings_Oorder-{F}(V5), #-{F} V6 | c_lessequals-{T}(V6,V6,V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #6: input, references = 5, size of lhs = 12:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_times-{F}(V7,V6,V5,V8), P_c_HOL_Oabs-{F}(V8,V5,V9), P_c_HOL_Oabs-{F}(V7,V5,V10), P_c_HOL_Oabs-{F}(V6,V5,V11), P_c_times-{F}(V10,V11,V5,V12), V9 == V12 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #7: input, references = 5, size of lhs = 10:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), P_c_HOL_Oinverse-{F}(V5,V6,V7), P_c_times-{F}(V7,V5,V6,V8), class_Ring__and__Field_Ofield-{F}(V6), V5 == V1, V8 == V4 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #8: input, references = 9, size of lhs = 6:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Ofield-{F}(V5) | class_OrderedGroup_Omonoid__mult-{T}(V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #9: input, references = 7, size of lhs = 6:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Ofield-{F}(V5) | class_OrderedGroup_Osemigroup__mult-{T}(V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #10: input, references = 10, size of lhs = 6:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__field-{F}(V5) | class_Ring__and__Field_Ofield-{T}(V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #11: input, references = 7, size of lhs = 6:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__field-{F}(V5) | class_Ring__and__Field_Oordered__idom-{T}(V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #12: input, references = 7, size of lhs = 6:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__field-{F}(V5) | class_Orderings_Oorder-{T}(V5)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #13: input, references = 4, size of lhs = 0:
% 6.80/6.98 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #14: input, references = 4, size of lhs = 0:
% 6.80/6.98 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #15: input, references = 16, size of lhs = 2:
% 6.80/6.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #16: input, references = 5, size of lhs = 1:
% 6.80/6.98 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #17: input, references = 5, size of lhs = 1:
% 6.80/6.98 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #18: input, references = 4, size of lhs = 0:
% 6.80/6.98 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #19: input, references = 13, size of lhs = 3:
% 6.80/6.98 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #20: input, references = 4, size of lhs = 0:
% 6.80/6.98 FALSE | EXISTS V0: P_c_1-{T}(V0)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #21: input, references = 7, size of lhs = 2:
% 6.80/6.98 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oinverse-{T}(V0,V1,V2)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 number of initial rules = 22
% 6.80/6.98
% 6.80/6.98 Simplifiers:
% 6.80/6.98 #22: unsound, references = 3, size of lhs = 2:
% 6.80/6.98 c_lessequals-{F}(V0,V1,V2), V1 == V0 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #23: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #24: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_Ring__and__Field_Oordered__field-{F}(V0), class_Ring__and__Field_Oordered__field-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #25: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_OrderedGroup_Omonoid__mult-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #26: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_OrderedGroup_Osemigroup__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #27: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #28: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #29: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 class_Ring__and__Field_Ofield-{F}(V0), class_Ring__and__Field_Ofield-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #30: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #31: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #32: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #33: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #34: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #35: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #36: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #37: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_c_1-{F}(V0), P_c_1-{F}(V1), V0 == V1 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #38: unsound, references = 3, size of lhs = 3:
% 6.80/6.98 P_c_HOL_Oinverse-{F}(V0,V1,V2), P_c_HOL_Oinverse-{F}(V0,V1,V5), V2 == V5 | FALSE
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 number of simplifiers = 17
% 6.80/6.98
% 6.80/6.98 Learnt:
% 6.80/6.98 #41: exists( #19, #3 ), references = 8, size of lhs = 7:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_OrderedGroup_Omonoid__mult-{F}(V5), #-{F} V6 | P_c_times-{T}(V4,V6,V5,V6)
% 6.80/6.98 (used 0 times, uses = {})
% 6.80/6.98
% 6.80/6.98 #43: exists( #19, #4 ), references = 7, size of lhs = 9:
% 6.80/6.98 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_OrderedGroup_Osemigroup__mult-{F}(V5), P_c_times-{F}(V6,V7,V5,V8), P_c_times-{F}(V8,V9,V5,V10), P_c_times-{F}(V7,V9,V5,V11) | P_c_times-{T}(V6,V11,V5,V10)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #45: exists( #19, #7 ), references = 1, size of lhs = 8:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Ofield-{F}(V5), P_c_HOL_Oinverse-{F}(V6,V5,V7), V6 == V1 | P_c_times-{T}(V7,V6,V5,V4)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #61: exists( #19, #6 ), references = 12, size of lhs = 10:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Oabs-{F}(V6,V5,V7), P_c_times-{F}(V6,V8,V5,V9), P_c_HOL_Oabs-{F}(V9,V5,V10), P_c_HOL_Oabs-{F}(V8,V5,V11) | P_c_times-{T}(V7,V11,V5,V10)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #102: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #83 ), references = 1, size of lhs = 11:
% 6.80/6.99 P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V1,V0,V4), P_v_x-{F}(V4,V5), P_v_f-{F}(V5,V2), P_c_HOL_Oabs-{F}(V6,V0,V2), P_c_HOL_Oabs-{F}(V7,V0,V2), P_c_times-{F}(V6,V7,V0,V8), P_c_HOL_Oabs-{F}(V8,V0,V2) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #109: mergings( V3 == V4, V4 == V6, V5 == V7; #105 ), references = 1, size of lhs = 8:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_HOL_Oinverse-{F}(V4,V2,V5), V4 == V1, P_c_times-{F}(V5,V4,V2,V6), V6 == V3 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #114: mergings( V4 == V5, V5 == V8, V6 == V9; #110 ), references = 6, size of lhs = 6:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_HOL_Oinverse-{F}(V4,V2,V5), V4 == V1 | P_c_times-{T}(V5,V4,V2,V3)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #162: mergings( V3 == V8, V8 == V13, V13 == V18, V18 == V23, V4 == V9, V9 == V14, V14 == V19, V19 == V24, V5 == V10, V6 == V11, V10 == V15, V11 == V16, V15 == V20, V16 == V21, V20 == V25, V21 == V26, V7 == V12, V12 == V17, V17 == V22, V22 == V27; #141 ), references = 2, size of lhs = 18:
% 6.80/6.99 class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_t_a-{F}(V3), P_c_HOL_Oabs-{F}(V1,V3,V4), P_c_1-{F}(V5), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V6,V8,V0,V9), P_c_times-{F}(V9,V9,V0,V10), P_c_HOL_Oabs-{F}(V10,V0,V11), P_c_HOL_Oabs-{F}(V8,V0,V12), P_c_times-{F}(V13,V7,V0,V14), P_c_times-{F}(V14,V12,V0,V15), P_c_times-{F}(V15,V7,V0,V16), P_c_times-{F}(V16,V12,V0,V17), P_c_times-{F}(V13,V11,V0,V18), V17 == V18 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #171: exists( #15, #6 ), references = 5, size of lhs = 10:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_Ring__and__Field_Oordered__idom-{F}(V5), P_c_HOL_Oabs-{F}(V6,V5,V7), P_c_times-{F}(V6,V8,V5,V9), P_c_HOL_Oabs-{F}(V8,V5,V10), P_c_times-{F}(V7,V10,V5,V11) | P_c_HOL_Oabs-{T}(V9,V5,V11)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #185: mergings( V14 == V1, V4 == V9, V5 == V10, V6 == V2, V7 == V0; #179 ), references = 3, size of lhs = 12:
% 6.80/6.99 P_c_1-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V1), P_t_a-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V1,V4), c_lessequals-{F}(V5,V5,V1), P_c_HOL_Oabs-{F}(V6,V1,V5), P_v_f-{F}(V7,V6), P_v_x-{F}(V8,V7), P_c_times-{F}(V8,V4,V1,V9), P_c_times-{F}(V9,V5,V1,V5) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #201: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15, V5 == V1, V6 == V16, V1 == V10, V11 == V16, V7 == V12, V12 == V13; #190 ), references = 1, size of lhs = 11:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_times-{F}(V5,V4,V0,V1), P_v_x-{F}(V5,V6), P_v_f-{F}(V6,V7) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #213: mergings( V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V7, V5 == V16, V7 == V10, V11 == V16, V6 == V12, V12 == V13; #202 ), references = 1, size of lhs = 10:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_times-{F}(V5,V4,V0,V1), P_v_x-{F}(V5,V6) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #225: mergings( V2 == V8, V8 == V14, V3 == V9, V9 == V15, V4 == V7, V5 == V16, V7 == V10, V11 == V16, V6 == V12, V12 == V13; #214 ), references = 2, size of lhs = 9:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_times-{F}(V5,V4,V0,V1) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #254: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22; #234 ), references = 1, size of lhs = 9:
% 6.80/6.99 P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V4,V0,V2), P_c_HOL_Oabs-{F}(V5,V0,V2), P_c_times-{F}(V5,V4,V0,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_HOL_Oabs-{F}(V7,V0,V1) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #309: mergings( V3 == V6, V4 == V7, V1 == V8, V5 == V10; #304 ), references = 1, size of lhs = 10:
% 6.80/6.99 class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), P_c_1-{F}(V4), P_c_times-{F}(V4,V5,V0,V6), V6 == V4, P_c_times-{F}(V7,V5,V0,V7), V7 == V2 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #342: mergings( V21 == V0, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V22, V22 == V24, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V23, V23 == V25; #320 ), references = 2, size of lhs = 12:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_HOL_Oabs-{F}(V3,V2,V4), V4 == V3, P_c_HOL_Oabs-{F}(V5,V2,V4), P_c_HOL_Oabs-{F}(V6,V2,V7), V7 == V1, P_c_HOL_Oabs-{F}(V8,V2,V7), P_c_times-{F}(V6,V8,V2,V5), P_c_HOL_Oabs-{F}(V9,V2,V7) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #365: mergings( V20 == V23, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V21, V21 == V24, V5 == V7, V7 == V9, V9 == V11, V11 == V0, V0 == V14, V14 == V17, V17 == V19, V19 == V22, V22 == V25; #343 ), references = 1, size of lhs = 9:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_HOL_Oabs-{F}(V4,V2,V5), V5 == V1, P_c_HOL_Oabs-{F}(V6,V2,V5), P_c_times-{F}(V4,V6,V2,V3), P_c_HOL_Oabs-{F}(V7,V2,V5) | P_c_HOL_Oabs-{T}(V3,V2,V3)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #377: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V9; #371 ), references = 1, size of lhs = 6:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_times-{F}(V3,V4,V2,V5), V5 == V4 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #388: exists( #19, #4 ), references = 4, size of lhs = 9:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_HOL_Oabs-{F}(V0,V2,V3), P_c_1-{F}(V4), class_OrderedGroup_Osemigroup__mult-{F}(V5), P_c_times-{F}(V6,V7,V5,V8), P_c_times-{F}(V7,V9,V5,V10), P_c_times-{F}(V6,V10,V5,V11) | P_c_times-{T}(V8,V9,V5,V11)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #462: mergings( V3 == V6, V6 == V11, V4 == V7, V7 == V12, V1 == V8, V8 == V13, V9 == V14, V5 == V10, V10 == V15, V19 == V16; #450 ), references = 1, size of lhs = 12:
% 6.80/6.99 class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), P_c_1-{F}(V4), P_c_times-{F}(V4,V5,V0,V5), P_c_times-{F}(V6,V5,V0,V7), V6 == V2, P_c_times-{F}(V7,V8,V0,V7), P_c_times-{F}(V5,V8,V0,V9), V9 == V5 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #473: mergings( V3 == V6, V6 == V11, V4 == V7, V7 == V12, V1 == V8, V8 == V13, V9 == V14, V5 == V10, V10 == V15, V19 == V18; #451 ), references = 1, size of lhs = 19:
% 6.80/6.99 class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), P_c_1-{F}(V4), P_c_times-{F}(V4,V5,V0,V5), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V8,V5,V0,V7), V8 == V2, P_c_HOL_Oabs-{F}(V9,V0,V7), P_c_times-{F}(V10,V10,V0,V9), P_c_times-{F}(V6,V11,V0,V10), P_c_HOL_Oabs-{F}(V11,V0,V12), P_c_times-{F}(V5,V12,V0,V13), P_c_times-{F}(V13,V7,V0,V14), P_c_times-{F}(V14,V12,V0,V15), V15 == V5 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #487: mergings( V4 == V7, V7 == V12, V5 == V8, V8 == V13, V2 == V9, V9 == V14, V10 == V15, V6 == V11, V11 == V16, V0 == V17; #475 ), references = 1, size of lhs = 10:
% 6.80/6.99 class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), P_c_1-{F}(V4), P_c_times-{F}(V4,V5,V0,V5), P_c_times-{F}(V6,V5,V0,V7), V6 == V2, P_c_times-{F}(V7,V8,V0,V7) | P_c_times-{T}(V5,V8,V0,V5)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #503: mergings( V4 == V9, V9 == V12, V12 == V17, V5 == V10, V10 == V13, V13 == V18, V6 == V2, V2 == V14, V7 == V15, V14 == V19, V15 == V20, V8 == V11, V11 == V16, V16 == V21, V0 == V26; #476 ), references = 1, size of lhs = 16:
% 6.80/6.99 class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), P_c_1-{F}(V4), P_c_times-{F}(V4,V5,V0,V5), P_c_times-{F}(V6,V6,V0,V6), P_c_HOL_Oabs-{F}(V7,V0,V6), P_c_HOL_Oabs-{F}(V8,V0,V6), P_c_times-{F}(V7,V8,V0,V9), P_c_times-{F}(V9,V9,V0,V10), P_c_HOL_Oabs-{F}(V10,V0,V6), P_c_times-{F}(V11,V5,V0,V6), V11 == V2 | P_c_times-{T}(V5,V6,V0,V5)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #521: mergings( V3 == V6, V4 == V7; #518 ), references = 1, size of lhs = 9:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), V4 == V3 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #539: mergings( V12 == V0, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V5 == V7, V7 == V9, V9 == V11, V11 == V14; #527 ), references = 2, size of lhs = 4:
% 6.80/6.99 P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3) | P_c_HOL_Oabs-{T}(V2,V0,V3)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #566: mergings( V3 == V8, V8 == V14, V4 == V9, V9 == V15, V5 == V1, V6 == V16, V1 == V10, V11 == V16, V7 == V12, V12 == V13; #554 ), references = 2, size of lhs = 13:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V7,V4,V0,V6), P_v_x-{F}(V7,V8), P_v_f-{F}(V8,V9), P_c_times-{F}(V5,V9,V0,V9) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #581: mergings( V3 == V8, V8 == V13, V13 == V18, V4 == V9, V9 == V14, V14 == V19, V5 == V1, V6 == V20, V1 == V10, V11 == V20, V10 == V15, V16 == V20, V7 == V12, V12 == V17; #555 ), references = 2, size of lhs = 12:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_v_x-{F}(V1,V6), P_v_f-{F}(V6,V7), P_c_times-{F}(V5,V7,V0,V7) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #591: mergings( V2 == V9, V3 == V10, V4 == V7, V5 == V11, V6 == V8; #584 ), references = 1, size of lhs = 10:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V4), P_v_x-{F}(V1,V5) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #597: mergings( V2 == V9, V3 == V10, V4 == V7, V5 == V11, V6 == V8; #585 ), references = 2, size of lhs = 12:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_c_times-{F}(V6,V4,V0,V5), P_v_x-{F}(V6,V7) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #605: mergings( V2 == V8, V3 == V9, V4 == V7, V5 == V10, V6 == V0; #598 ), references = 1, size of lhs = 9:
% 6.80/6.99 class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Omonoid__mult-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V4) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #611: mergings( V2 == V9, V3 == V10, V4 == V7, V5 == V11, V6 == V8; #599 ), references = 2, size of lhs = 11:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_c_times-{F}(V6,V4,V0,V5) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #655: mergings( V4 == V10, V5 == V11, V6 == V2, V7 == V1, V8 == V9; #648 ), references = 3, size of lhs = 12:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V6,V5,V0,V1), P_c_HOL_Oabs-{F}(V6,V0,V7) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #661: mergings( V4 == V10, V5 == V11, V6 == V2, V7 == V1, V8 == V9; #649 ), references = 2, size of lhs = 13:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V6,V5,V0,V1), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_x-{F}(V7,V8) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #689: mergings( V4 == V9, V9 == V15, V5 == V10, V10 == V16, V6 == V11, V7 == V12, V11 == V2, V12 == V17, V8 == V13, V13 == V14; #677 ), references = 1, size of lhs = 15:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V6,V8,V0,V1), P_c_times-{F}(V9,V5,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V7,V10,V0,V11) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #700: mergings( V4 == V9, V9 == V15, V5 == V10, V10 == V16, V6 == V11, V7 == V12, V11 == V2, V12 == V17, V8 == V13, V13 == V14; #678 ), references = 1, size of lhs = 16:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V6,V8,V0,V1), P_c_times-{F}(V9,V5,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V10), P_c_times-{F}(V7,V10,V0,V11), P_v_x-{F}(V11,V12) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #723: exists( #15, #342 ), references = 1, size of lhs = 5:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), P_t_a-{F}(V2), P_c_1-{F}(V3), P_c_times-{F}(V3,V3,V2,V3) | P_c_HOL_Oabs-{T}(V3,V2,V3), P_c_HOL_Oabs-{T}(V3,V2,V1)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #744: exists( #15, #655 ), references = 1, size of lhs = 11:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), P_c_times-{F}(V6,V5,V0,V1) | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #749: mergings( V3 == V6, V4 == V7; #746 ), references = 1, size of lhs = 11:
% 6.80/6.99 class_OrderedGroup_Omonoid__mult-{F}(V0), class_Orderings_Oorder-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_OrderedGroup_Osemigroup__mult-{F}(V0), P_t_a-{F}(V0), P_c_1-{F}(V1), P_v_c-{F}(V2), P_c_0-{F}(V3), P_c_HOL_Oabs-{F}(V2,V0,V4), P_c_HOL_Oabs-{F}(V5,V0,V4), V5 == V3 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #767: mergings( V9 == V11, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12; #757 ), references = 1, size of lhs = 4:
% 6.80/6.99 P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), V1 == V2 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #778: mergings( V8 == V10, V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11; #768 ), references = 1, size of lhs = 3:
% 6.80/6.99 P_v_c-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #781: mergings( V1 == V2; #779 ), references = 1, size of lhs = 1:
% 6.80/6.99 P_v_c-{F}(V0) | P_c_0-{T}(V0)
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 #784: exists( #13, #782 ), references = 1, size of lhs = 0:
% 6.80/6.99 FALSE | FALSE
% 6.80/6.99 (used 0 times, uses = {})
% 6.80/6.99
% 6.80/6.99 number of learnt formulas = 42
% 6.80/6.99
% 6.80/6.99
% 6.80/6.99 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.80/6.99
% 6.80/6.99 randbase = 1
%------------------------------------------------------------------------------