TSTP Solution File: ANA023-10 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 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 05:57:47 EDT 2022
% Result : Unsatisfiable 13.60s 13.75s
% Output : Refutation 13.60s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : ANA023-10 : TPTP v8.1.0. Released v7.5.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.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 00:13:57 EDT 2022
% 0.13/0.33 % CPUTime :
% 13.60/13.75 GeoParameters:
% 13.60/13.75
% 13.60/13.75 tptp_input = 1
% 13.60/13.75 tptp_output = 0
% 13.60/13.75 nonempty = 1
% 13.60/13.75 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.60/13.75 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 13.60/13.75
% 13.60/13.75
% 13.60/13.75 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.60/13.75 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.60/13.75
% 13.60/13.75 RuleSystem INPUT:
% 13.60/13.75
% 13.60/13.75 Initial Rules:
% 13.60/13.75 #0: input, references = 4, size of lhs = 2:
% 13.60/13.75 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #1: input, references = 5, size of lhs = 2:
% 13.60/13.75 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #2: input, references = 5, size of lhs = 6:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V2,V4), P_c_plus-{F}(V1,V3,V2,V5), P_ifeq2-{F}(V4,V0,V5,V3,V6), V6 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #3: input, references = 6, size of lhs = 10:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V6), P_c_minus-{F}(V4,V5,V2,V7), P_c_lessequals-{F}(V3,V7,V2,V8), P_c_plus-{F}(V3,V5,V2,V9), P_c_lessequals-{F}(V9,V4,V2,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), P_ifeq-{F}(V6,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #4: input, references = 5, size of lhs = 10:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V6), P_c_plus-{F}(V3,V5,V2,V7), P_c_lessequals-{F}(V7,V4,V2,V8), P_c_minus-{F}(V4,V5,V2,V9), P_c_lessequals-{F}(V3,V9,V2,V10), P_ifeq-{F}(V8,V0,V10,V0,V11), P_ifeq-{F}(V6,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #5: input, references = 8, size of lhs = 10:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_class_Orderings_Oorder-{F}(V2,V6), P_c_lessequals-{F}(V4,V3,V2,V7), P_c_lessequals-{F}(V3,V5,V2,V8), P_c_lessequals-{F}(V4,V5,V2,V9), P_ifeq-{F}(V8,V0,V9,V0,V10), P_ifeq-{F}(V7,V0,V10,V0,V11), P_ifeq-{F}(V6,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #6: input, references = 4, size of lhs = 9:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), V7 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #7: input, references = 4, size of lhs = 11:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), V9 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #8: input, references = 5, size of lhs = 12:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V0) | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #9: input, references = 4, size of lhs = 16:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V11), P_class_Orderings_Olinorder-{F}(V12,V13), P_class_Orderings_Oorder-{F}(V12,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), V15 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #10: input, references = 4, size of lhs = 16:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V11), P_class_Ring__and__Field_Oordered__idom-{F}(V12,V13), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V12,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), V15 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #11: input, references = 4, size of lhs = 16:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V11), P_class_Ring__and__Field_Oordered__idom-{F}(V12,V13), P_class_Orderings_Olinorder-{F}(V12,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), V15 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #12: input, references = 4, size of lhs = 16:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V11), P_class_Ring__and__Field_Oordered__idom-{F}(V12,V13), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V12,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), V15 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #13: input, references = 4, size of lhs = 14:
% 13.60/13.75 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_c_lessequals-{F}(V1,V6,V5,V7), P_v_f-{F}(V2,V8), P_c_lessequals-{F}(V3,V8,V5,V9), P_c_minus-{F}(V8,V4,V5,V10), P_c_lessequals-{F}(V1,V10,V5,V11), P_class_Ring__and__Field_Oordered__idom-{F}(V5,V12), V12 == V0 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #14: input, references = 5, size of lhs = 4:
% 13.60/13.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #15: input, references = 8, size of lhs = 4:
% 13.60/13.75 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #16: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_class_OrderedGroup_Ocomm__monoid__add-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #17: input, references = 4, size of lhs = 0:
% 13.60/13.75 FALSE | EXISTS V0: P_true-{T}(V0)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #18: input, references = 5, size of lhs = 3:
% 13.60/13.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #19: input, references = 4, size of lhs = 0:
% 13.60/13.75 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #20: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_class_OrderedGroup_Opordered__ab__group__add-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #21: input, references = 14, size of lhs = 3:
% 13.60/13.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_lessequals-{T}(V0,V1,V2,V3)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #22: input, references = 20, size of lhs = 3:
% 13.60/13.75 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #23: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_class_Orderings_Oorder-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #24: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #25: input, references = 4, size of lhs = 0:
% 13.60/13.75 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #26: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #27: input, references = 4, size of lhs = 0:
% 13.60/13.75 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #28: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #29: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_class_Orderings_Olinorder-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #30: input, references = 4, size of lhs = 1:
% 13.60/13.75 #-{F} V0 | EXISTS V1: P_class_Ring__and__Field_Oordered__idom-{T}(V0,V1)
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 number of initial rules = 31
% 13.60/13.75
% 13.60/13.75 Simplifiers:
% 13.60/13.75 #31: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #32: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #33: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_class_OrderedGroup_Ocomm__monoid__add-{F}(V0,V1), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #34: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #35: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #36: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #37: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_class_OrderedGroup_Opordered__ab__group__add-{F}(V0,V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #38: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_c_lessequals-{F}(V0,V1,V2,V3), P_c_lessequals-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #39: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #40: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_class_Orderings_Oorder-{F}(V0,V1), P_class_Orderings_Oorder-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #41: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #42: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #43: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #44: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #45: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.75
% 13.60/13.75 #46: unsound, references = 3, size of lhs = 3:
% 13.60/13.75 P_class_Orderings_Olinorder-{F}(V0,V1), P_class_Orderings_Olinorder-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.75 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #47: unsound, references = 3, size of lhs = 3:
% 13.60/13.76 P_class_Ring__and__Field_Oordered__idom-{F}(V0,V1), P_class_Ring__and__Field_Oordered__idom-{F}(V0,V3), V1 == V3 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 number of simplifiers = 17
% 13.60/13.76
% 13.60/13.76 Learnt:
% 13.60/13.76 #49: exists( #14, #0 ), references = 2, size of lhs = 3:
% 13.60/13.76 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #52: exists( #18, #50 ), references = 1, size of lhs = 4:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V2,V0), #-{F} V3 | P_c_plus-{T}(V1,V3,V2,V3)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #54: exists( #15, #1 ), references = 12, size of lhs = 3:
% 13.60/13.76 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #56: exists( #15, #3 ), references = 2, size of lhs = 8:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V3), P_c_minus-{F}(V4,V5,V2,V6), P_c_lessequals-{F}(V7,V6,V2,V8), P_c_plus-{F}(V7,V5,V2,V9), P_c_lessequals-{F}(V9,V4,V2,V10), P_ifeq-{F}(V8,V0,V10,V0,V11) | P_ifeq-{T}(V3,V0,V11,V0,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #58: exists( #14, #2 ), references = 1, size of lhs = 4:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V2,V3), P_c_plus-{F}(V1,V4,V2,V5) | P_ifeq2-{T}(V3,V0,V5,V4,V4)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #61: exists( #21, #59 ), references = 12, size of lhs = 6:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V0), P_c_lessequals-{F}(V3,V4,V2,V0), P_c_plus-{F}(V5,V6,V2,V3), P_c_minus-{F}(V4,V6,V2,V7) | P_c_lessequals-{T}(V5,V7,V2,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #65: exists( #21, #63 ), references = 11, size of lhs = 6:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V0), P_c_lessequals-{F}(V3,V4,V2,V0), P_c_minus-{F}(V5,V6,V2,V4), P_c_plus-{F}(V3,V6,V2,V7) | P_c_lessequals-{T}(V7,V5,V2,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #77: exists( #21, #7 ), references = 1, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V8), V8 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #78: exists( #21, #8 ), references = 3, size of lhs = 11:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V8), P_c_minus-{F}(V7,V4,V5,V9), P_c_lessequals-{F}(V1,V9,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #79: exists( #21, #9 ), references = 2, size of lhs = 15:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V8), P_c_minus-{F}(V7,V4,V5,V9), P_c_lessequals-{F}(V1,V9,V5,V10), P_class_Orderings_Olinorder-{F}(V11,V12), P_class_Orderings_Oorder-{F}(V11,V13), P_ifeq-{F}(V12,V0,V13,V0,V14), V14 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #83: exists( #22, #74 ), references = 1, size of lhs = 9:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), V7 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #85: exists( #21, #80 ), references = 1, size of lhs = 7:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6) | P_c_lessequals-{T}(V3,V6,V5,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #88: exists( #15, #86 ), references = 1, size of lhs = 7:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V2,V0), P_c_minus-{F}(V3,V4,V2,V5), P_c_lessequals-{F}(V6,V5,V2,V7), P_c_plus-{F}(V6,V4,V2,V8), P_c_lessequals-{F}(V8,V3,V2,V9) | P_ifeq-{T}(V7,V0,V9,V0,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #91: exists( #21, #89 ), references = 11, size of lhs = 5:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_Orderings_Oorder-{F}(V2,V0), P_c_lessequals-{F}(V3,V4,V2,V0), P_c_lessequals-{F}(V4,V5,V2,V0) | P_c_lessequals-{T}(V3,V5,V2,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #99: mergings( V5 == V7, V4 == V6, V6 == V8, V7 == V9; #94 ), references = 1, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_class_Orderings_Oorder-{F}(V1,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V1,V0), P_c_0-{F}(V2), P_c_lessequals-{F}(V3,V4,V1,V0), P_c_plus-{F}(V4,V5,V1,V6), P_c_lessequals-{F}(V6,V7,V1,V0), P_c_plus-{F}(V3,V5,V1,V8), P_c_lessequals-{F}(V8,V7,V1,V9), P_ifeq-{F}(V0,V0,V9,V0,V10), P_ifeq-{F}(V0,V0,V10,V0,V11), V11 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #104: exists( #22, #78 ), references = 2, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #110: mergings( V4 == V5, V5 == V7; #107 ), references = 3, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_class_Orderings_Oorder-{F}(V5,V0), P_c_lessequals-{F}(V1,V6,V5,V0), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V8), P_c_plus-{F}(V6,V4,V5,V9), P_c_lessequals-{F}(V9,V7,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #116: exists( #15, #114 ), references = 1, size of lhs = 6:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_Orderings_Oorder-{F}(V2,V0), P_c_lessequals-{F}(V3,V4,V2,V0), P_c_lessequals-{F}(V4,V5,V2,V6), P_c_lessequals-{F}(V3,V5,V2,V7) | P_ifeq-{T}(V6,V0,V7,V0,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #123: exists( #15, #121 ), references = 1, size of lhs = 7:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_class_Orderings_Oorder-{F}(V2,V0), P_c_lessequals-{F}(V3,V4,V2,V5), P_c_lessequals-{F}(V4,V6,V2,V7), P_c_lessequals-{F}(V3,V6,V2,V8), P_ifeq-{F}(V7,V0,V8,V0,V9) | P_ifeq-{T}(V5,V0,V9,V0,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #156: mergings( V7 == V9, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V9 == V11; #149 ), references = 4, size of lhs = 16:
% 13.60/13.76 P_true-{F}(V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V1,V0), P_class_Orderings_Oorder-{F}(V1,V0), P_c_0-{F}(V2), P_c_lessequals-{F}(V3,V4,V1,V0), P_c_plus-{F}(V4,V5,V1,V6), P_c_lessequals-{F}(V6,V7,V1,V0), P_c_plus-{F}(V3,V5,V1,V8), P_c_plus-{F}(V9,V10,V1,V8), P_c_minus-{F}(V7,V10,V1,V11), P_c_lessequals-{F}(V11,V12,V1,V13), P_c_lessequals-{F}(V9,V12,V1,V14), P_ifeq-{F}(V13,V0,V14,V0,V15), P_ifeq-{F}(V0,V0,V15,V0,V16), P_ifeq-{F}(V0,V0,V16,V0,V17), V17 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #159: exists( #21, #157 ), references = 1, size of lhs = 11:
% 13.60/13.76 P_true-{F}(V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V1,V0), P_class_Orderings_Oorder-{F}(V1,V0), P_c_0-{F}(V2), P_c_lessequals-{F}(V3,V4,V1,V0), P_c_plus-{F}(V4,V5,V1,V6), P_c_lessequals-{F}(V6,V7,V1,V0), P_c_plus-{F}(V3,V5,V1,V8), P_c_plus-{F}(V9,V10,V1,V8), P_c_minus-{F}(V7,V10,V1,V11), P_c_lessequals-{F}(V11,V12,V1,V0) | P_c_lessequals-{T}(V9,V12,V1,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #180: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V9; #173 ), references = 1, size of lhs = 22:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_class_Orderings_Oorder-{F}(V5,V0), P_c_lessequals-{F}(V1,V6,V5,V0), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V8), P_c_plus-{F}(V6,V4,V5,V9), P_c_lessequals-{F}(V10,V7,V5,V0), P_c_lessequals-{F}(V11,V12,V5,V0), P_c_plus-{F}(V12,V13,V5,V10), P_c_plus-{F}(V11,V13,V5,V14), P_c_lessequals-{F}(V15,V16,V5,V0), P_c_plus-{F}(V16,V17,V5,V18), P_c_lessequals-{F}(V18,V19,V5,V0), P_c_plus-{F}(V15,V17,V5,V20), P_c_plus-{F}(V9,V21,V5,V20), P_c_minus-{F}(V19,V21,V5,V14) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #187: mergings( V7 == V9, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V9 == V11; #174 ), references = 1, size of lhs = 20:
% 13.60/13.76 P_true-{F}(V0), P_class_Orderings_Oorder-{F}(V1,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V1,V0), P_c_0-{F}(V2), P_c_lessequals-{F}(V3,V4,V1,V0), P_c_plus-{F}(V4,V5,V1,V6), P_c_lessequals-{F}(V6,V7,V1,V0), P_c_plus-{F}(V3,V5,V1,V8), P_c_lessequals-{F}(V9,V10,V1,V0), P_c_plus-{F}(V10,V11,V1,V12), P_c_lessequals-{F}(V12,V13,V1,V0), P_c_plus-{F}(V9,V11,V1,V14), P_c_minus-{F}(V13,V15,V1,V8), P_c_plus-{F}(V16,V15,V1,V14), P_c_plus-{F}(V17,V18,V1,V16), P_c_minus-{F}(V7,V18,V1,V19), P_c_lessequals-{F}(V17,V19,V1,V20), P_ifeq-{F}(V0,V0,V20,V0,V21), P_ifeq-{F}(V0,V0,V21,V0,V22), V22 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #193: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10; #175 ), references = 1, size of lhs = 26:
% 13.60/13.76 P_true-{F}(V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V1,V0), P_class_Orderings_Oorder-{F}(V1,V0), P_c_0-{F}(V2), P_c_lessequals-{F}(V3,V4,V1,V0), P_c_plus-{F}(V4,V5,V1,V6), P_c_lessequals-{F}(V6,V7,V1,V0), P_c_plus-{F}(V3,V5,V1,V8), P_c_lessequals-{F}(V9,V10,V1,V0), P_c_plus-{F}(V10,V11,V1,V12), P_c_lessequals-{F}(V12,V13,V1,V0), P_c_plus-{F}(V9,V11,V1,V14), P_c_minus-{F}(V13,V15,V1,V8), P_c_plus-{F}(V16,V15,V1,V14), P_c_lessequals-{F}(V17,V18,V1,V0), P_c_plus-{F}(V18,V19,V1,V16), P_c_plus-{F}(V17,V19,V1,V20), P_c_plus-{F}(V21,V22,V1,V20), P_c_minus-{F}(V7,V22,V1,V23), P_c_plus-{F}(V23,V24,V1,V8), P_c_minus-{F}(V7,V24,V1,V25), P_c_lessequals-{F}(V21,V25,V1,V26), P_ifeq-{F}(V0,V0,V26,V0,V27), P_ifeq-{F}(V0,V0,V27,V0,V28), P_ifeq-{F}(V0,V0,V28,V0,V29), V29 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #204: exists( #21, #6 ), references = 9, size of lhs = 7:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_c_minus-{F}(V3,V4,V5,V6) | P_c_lessequals-{T}(V1,V6,V5,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #220: mergings( V4 == V6, V6 == V7, V7 == V9, V5 == V10, V0 == V11, V8 == V15, V1 == V12; #211 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_class_Orderings_Oorder-{F}(V5,V0), P_c_lessequals-{F}(V1,V6,V5,V0), P_v_f-{F}(V2,V7), P_c_lessequals-{F}(V3,V7,V5,V0), P_c_plus-{F}(V6,V4,V5,V8), P_c_plus-{F}(V1,V4,V5,V8) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #224: mergings( V4 == V6, V6 == V7, V7 == V9; #212 ), references = 1, size of lhs = 20:
% 13.60/13.76 P_v_x-{F}(V0), P_v_k-{F}(V0,V1), P_v_g-{F}(V0,V2), P_t_b-{F}(V3), P_true-{F}(V4), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V3,V4), P_class_Orderings_Oorder-{F}(V3,V4), P_c_0-{F}(V5), P_c_lessequals-{F}(V1,V6,V3,V4), P_c_plus-{F}(V5,V2,V3,V7), P_c_minus-{F}(V6,V8,V3,V7), P_c_lessequals-{F}(V9,V10,V3,V4), P_c_plus-{F}(V10,V11,V3,V7), P_c_plus-{F}(V9,V11,V3,V12), P_c_plus-{F}(V13,V8,V3,V12), P_c_lessequals-{F}(V13,V1,V3,V14), P_ifeq-{F}(V4,V4,V14,V4,V15), P_ifeq-{F}(V4,V4,V15,V4,V16), P_ifeq-{F}(V4,V4,V16,V4,V17), V17 == V4 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #237: mergings( V6 == V8, V4 == V7, V7 == V9; #233 ), references = 2, size of lhs = 15:
% 13.60/13.76 P_v_x-{F}(V0), P_v_k-{F}(V0,V1), P_v_g-{F}(V0,V2), P_t_b-{F}(V3), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V3,V4), P_true-{F}(V4), P_c_0-{F}(V5), P_class_Orderings_Oorder-{F}(V3,V6), P_c_plus-{F}(V5,V2,V3,V7), P_c_lessequals-{F}(V8,V7,V3,V9), P_c_lessequals-{F}(V8,V1,V3,V10), P_ifeq-{F}(V4,V4,V10,V4,V11), P_ifeq-{F}(V9,V4,V11,V4,V12), P_ifeq-{F}(V6,V4,V12,V4,V13), V13 == V4 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #240: exists( #21, #238 ), references = 1, size of lhs = 10:
% 13.60/13.76 P_v_x-{F}(V0), P_v_k-{F}(V0,V1), P_v_g-{F}(V0,V2), P_t_b-{F}(V3), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V3,V4), P_true-{F}(V4), P_class_Orderings_Oorder-{F}(V3,V4), P_c_0-{F}(V5), P_c_plus-{F}(V5,V2,V3,V6), P_c_lessequals-{F}(V7,V6,V3,V4) | P_c_lessequals-{T}(V7,V1,V3,V4)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #276: mergings( V5 == V6, V6 == V7, V7 == V9, V4 == V10; #270 ), references = 1, size of lhs = 15:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V10,V5,V8), P_c_plus-{F}(V1,V10,V5,V11), P_c_plus-{F}(V1,V4,V5,V11) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #284: mergings( V4 == V6, V6 == V7, V7 == V8, V8 == V10, V5 == V11, V0 == V12, V1 == V13; #269 ), references = 1, size of lhs = 15:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V10,V5,V8), P_c_plus-{F}(V1,V10,V5,V11), P_c_plus-{F}(V1,V4,V5,V11) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #290: mergings( V4 == V6, V6 == V7, V7 == V8, V8 == V10, V5 == V11; #271 ), references = 1, size of lhs = 15:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V10,V5,V8), P_c_plus-{F}(V1,V10,V5,V11), P_c_plus-{F}(V1,V4,V5,V11) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #298: mergings( V6 == V7, V7 == V8, V8 == V0, V4 == V10; #291 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V4,V5,V8) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #305: mergings( V6 == V7, V7 == V8, V8 == V0, V4 == V10, V5 == V11, V1 == V12; #292 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V4,V5,V8) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #310: mergings( V6 == V7, V7 == V8, V8 == V0, V4 == V10; #293 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V3,V9,V5,V0), P_c_minus-{F}(V9,V4,V5,V8) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #319: mergings( V6 == V7, V7 == V8, V8 == V10, V9 == V12, V4 == V11; #311 ), references = 2, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #326: mergings( V6 == V7, V7 == V8, V8 == V10, V4 == V11, V5 == V12, V9 == V13; #312 ), references = 1, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_g-{F}(V2,V3), P_v_k-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V4,V6,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #332: mergings( V6 == V7, V7 == V8, V8 == V10, V9 == V12, V4 == V11; #313 ), references = 1, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_class_Orderings_Oorder-{F}(V5,V0), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V5,V0), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #335: exists( #22, #79 ), references = 1, size of lhs = 14:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V9), P_class_Orderings_Olinorder-{F}(V10,V11), P_class_Orderings_Oorder-{F}(V10,V12), P_ifeq-{F}(V11,V0,V12,V0,V13), V13 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #337: exists( #21, #334 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_class_Orderings_Olinorder-{F}(V9,V10), P_class_Orderings_Oorder-{F}(V9,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #339: exists( #22, #336 ), references = 2, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Orderings_Olinorder-{F}(V8,V9), P_class_Orderings_Oorder-{F}(V8,V10), P_ifeq-{F}(V9,V0,V10,V0,V11), V11 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #348: mergings( V4 == V6, V5 == V8; #343 ), references = 1, size of lhs = 14:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V9), P_class_Ring__and__Field_Oordered__idom-{F}(V10,V11), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V10,V12), P_ifeq-{F}(V11,V0,V12,V0,V13), V13 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #351: mergings( V4 == V6, V5 == V8; #344 ), references = 1, size of lhs = 14:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V9), P_class_Ring__and__Field_Oordered__idom-{F}(V10,V11), P_class_Orderings_Olinorder-{F}(V10,V12), P_ifeq-{F}(V11,V0,V12,V0,V13), V13 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #354: mergings( V4 == V6, V5 == V8; #345 ), references = 1, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V9), P_class_Ring__and__Field_Oordered__idom-{F}(V5,V10), V10 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #360: mergings( V4 == V8, V5 == V9; #355 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_class_Ring__and__Field_Oordered__idom-{F}(V9,V10), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V9,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #363: mergings( V4 == V8, V5 == V9; #356 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_class_Ring__and__Field_Oordered__idom-{F}(V9,V10), P_class_Orderings_Olinorder-{F}(V9,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #366: mergings( V4 == V8, V5 == V9; #357 ), references = 2, size of lhs = 11:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_class_Ring__and__Field_Oordered__idom-{F}(V5,V9), V9 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #372: mergings( V4 == V7, V5 == V9; #367 ), references = 2, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V9), P_class_OrderedGroup_Ocomm__monoid__add-{F}(V8,V10), P_ifeq-{F}(V9,V0,V10,V0,V11), V11 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #375: mergings( V4 == V7, V5 == V9; #368 ), references = 2, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V9), P_class_Orderings_Olinorder-{F}(V8,V10), P_ifeq-{F}(V9,V0,V10,V0,V11), V11 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #377: exists( #22, #366 ), references = 1, size of lhs = 10:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V5,V8), V8 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #379: exists( #30, #376 ), references = 1, size of lhs = 8:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7) | P_class_Ring__and__Field_Oordered__idom-{T}(V5,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #382: exists( #29, #380 ), references = 1, size of lhs = 9:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V0) | P_class_Orderings_Olinorder-{T}(V8,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #385: exists( #16, #383 ), references = 1, size of lhs = 9:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V0) | P_class_OrderedGroup_Ocomm__monoid__add-{T}(V8,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #390: mergings( V4 == V6, V5 == V8; #387 ), references = 1, size of lhs = 14:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_c_lessequals-{F}(V1,V8,V5,V9), P_class_Ring__and__Field_Oordered__idom-{F}(V10,V11), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V10,V12), P_ifeq-{F}(V11,V0,V12,V0,V13), V13 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #394: mergings( V4 == V8, V5 == V9; #391 ), references = 1, size of lhs = 13:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_c_minus-{F}(V6,V4,V5,V8), P_class_Ring__and__Field_Oordered__idom-{F}(V9,V10), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V9,V11), P_ifeq-{F}(V10,V0,V11,V0,V12), V12 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #398: mergings( V4 == V7, V5 == V9; #395 ), references = 2, size of lhs = 12:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V9), P_class_OrderedGroup_Opordered__ab__group__add-{F}(V8,V10), P_ifeq-{F}(V9,V0,V10,V0,V11), V11 == V0 | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #401: exists( #23, #399 ), references = 1, size of lhs = 9:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Orderings_Olinorder-{F}(V8,V0) | P_class_Orderings_Oorder-{T}(V8,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #404: exists( #20, #402 ), references = 1, size of lhs = 9:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5), P_v_f-{F}(V2,V6), P_c_lessequals-{F}(V3,V6,V5,V7), P_class_Ring__and__Field_Oordered__idom-{F}(V8,V0) | P_class_OrderedGroup_Opordered__ab__group__add-{T}(V8,V0)
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #433: mergings( V2 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #420 ), references = 1, size of lhs = 6:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4), P_t_b-{F}(V5) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #442: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #434 ), references = 1, size of lhs = 5:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_t_b-{F}(V4) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #451: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #443 ), references = 1, size of lhs = 4:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_t_b-{F}(V3) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #460: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7; #452 ), references = 1, size of lhs = 3:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #469: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V7; #461 ), references = 1, size of lhs = 2:
% 13.60/13.76 P_true-{F}(V0), P_c_0-{F}(V1) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #473: exists( #19, #461 ), references = 1, size of lhs = 1:
% 13.60/13.76 P_true-{F}(V0) | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 #477: exists( #17, #470 ), references = 1, size of lhs = 0:
% 13.60/13.76 FALSE | FALSE
% 13.60/13.76 (used 0 times, uses = {})
% 13.60/13.76
% 13.60/13.76 number of learnt formulas = 65
% 13.60/13.76
% 13.60/13.76
% 13.60/13.76 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.60/13.76
% 13.60/13.76 randbase = 1
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