TSTP Solution File: ANA010-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 0.51s 0.69s
% Output : Refutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA010-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 00:23:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.51/0.69 GeoParameters:
% 0.51/0.69
% 0.51/0.69 tptp_input = 1
% 0.51/0.69 tptp_output = 0
% 0.51/0.69 nonempty = 1
% 0.51/0.69 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.69 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.51/0.69
% 0.51/0.69
% 0.51/0.69 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.69 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.69
% 0.51/0.69 RuleSystem INPUT:
% 0.51/0.69
% 0.51/0.69 Initial Rules:
% 0.51/0.69 #0: input, references = 5, size of lhs = 5:
% 0.51/0.69 P_c_0-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), P_c_HOL_Oabs-{F}(V2,V1,V3), c_lessequals-{F}(V0,V2,V1), V3 == V2 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #1: input, references = 4, size of lhs = 4:
% 0.51/0.69 P_c_0-{F}(V0), class_Orderings_Oorder-{F}(V1), c_lessequals-{F}(V4,V3,V1), c_lessequals-{F}(V2,V4,V1) | c_lessequals-{T}(V2,V3,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #2: input, references = 4, size of lhs = 8:
% 0.51/0.69 P_c_0-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), P_c_times-{F}(V3,V2,V1,V4), P_c_HOL_Oabs-{F}(V4,V1,V5), P_c_HOL_Oabs-{F}(V3,V1,V6), P_c_HOL_Oabs-{F}(V2,V1,V7), P_c_times-{F}(V6,V7,V1,V8), V5 == V8 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #3: input, references = 4, size of lhs = 3:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_f-{F}(V2,V3) | c_lessequals-{T}(V0,V3,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #4: input, references = 6, size of lhs = 6:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2), P_v_f-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_times-{F}(V2,V5,V1,V6) | c_lessequals-{T}(V4,V6,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #5: input, references = 5, size of lhs = 9:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), P_v_g-{F}(V4,V6), P_c_HOL_Oabs-{F}(V6,V1,V7), P_c_times-{F}(V3,V7,V1,V8), c_lessequals-{F}(V5,V8,V1) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #6: input, references = 4, size of lhs = 4:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2), class_OrderedGroup_Olordered__ab__group__abs-{F}(V3) | class_Orderings_Oorder-{T}(V3)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #7: input, references = 4, size of lhs = 4:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2), class_Ring__and__Field_Oordered__idom-{F}(V3) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V3)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #8: input, references = 4, size of lhs = 3:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2) | class_Ring__and__Field_Oordered__idom-{T}(V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #9: input, references = 4, size of lhs = 0:
% 0.51/0.69 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #10: input, references = 7, size of lhs = 2:
% 0.51/0.69 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #11: input, references = 6, size of lhs = 3:
% 0.51/0.69 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #12: input, references = 4, size of lhs = 1:
% 0.51/0.69 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #13: input, references = 4, size of lhs = 0:
% 0.51/0.69 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #14: input, references = 4, size of lhs = 0:
% 0.51/0.69 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #15: input, references = 4, size of lhs = 1:
% 0.51/0.69 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #16: input, references = 4, size of lhs = 1:
% 0.51/0.69 #-{F} V0 | EXISTS V1: P_v_x-{T}(V0,V1)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 number of initial rules = 17
% 0.51/0.69
% 0.51/0.69 Simplifiers:
% 0.51/0.69 #17: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #18: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #19: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #20: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #21: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #22: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #23: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #24: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #25: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #26: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #27: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #28: unsound, references = 3, size of lhs = 3:
% 0.51/0.69 P_v_x-{F}(V0,V1), P_v_x-{F}(V0,V3), V1 == V3 | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 number of simplifiers = 12
% 0.51/0.69
% 0.51/0.69 Learnt:
% 0.51/0.69 #33: mergings( V4 == V5, V0 == V6; #30 ), references = 1, size of lhs = 9:
% 0.51/0.69 P_c_0-{F}(V0), P_t_b-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V2,V3), P_v_f-{F}(V3,V4), P_v_f-{F}(V5,V4), P_v_g-{F}(V5,V6), P_v_g-{F}(V3,V7), P_c_HOL_Oabs-{F}(V7,V1,V6) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #35: exists( #10, #0 ), references = 1, size of lhs = 3:
% 0.51/0.69 P_c_0-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), c_lessequals-{F}(V0,V2,V1) | P_c_HOL_Oabs-{T}(V2,V1,V2)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #38: exists( #10, #2 ), references = 2, size of lhs = 6:
% 0.51/0.69 P_c_0-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), P_c_HOL_Oabs-{F}(V2,V1,V3), P_c_times-{F}(V2,V4,V1,V5), P_c_HOL_Oabs-{F}(V4,V1,V6), P_c_times-{F}(V3,V6,V1,V7) | P_c_HOL_Oabs-{T}(V5,V1,V7)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #52: mergings( V4 == V5, V5 == V6, V6 == V7; #48 ), references = 2, size of lhs = 12:
% 0.51/0.69 P_t_b-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_c_HOL_Oabs-{F}(V1,V0,V3), c_lessequals-{F}(V2,V4,V0), P_v_f-{F}(V5,V4), P_v_g-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V3,V7,V0,V8) | P_c_times-{T}(V1,V6,V0,V8)
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #61: mergings( V4 == V5, V5 == V7, V6 == V8; #57 ), references = 1, size of lhs = 17:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), P_v_f-{F}(V6,V5), P_v_g-{F}(V6,V7), P_v_g-{F}(V8,V7), P_v_f-{F}(V8,V9), c_lessequals-{F}(V1,V9,V0), P_c_HOL_Oabs-{F}(V7,V0,V10), P_v_g-{F}(V4,V11), P_c_HOL_Oabs-{F}(V11,V0,V10) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #66: mergings( V3 == V4, V4 == V7, V5 == V8; #62 ), references = 1, size of lhs = 15:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), P_v_f-{F}(V6,V5), P_v_g-{F}(V6,V7), P_v_g-{F}(V4,V7), P_v_g-{F}(V8,V7), P_v_f-{F}(V8,V9), c_lessequals-{F}(V1,V9,V0) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #72: mergings( V3 == V4, V4 == V7, V9 == V10, V5 == V8; #67 ), references = 1, size of lhs = 10:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V3,V4), P_v_f-{F}(V4,V5), c_lessequals-{F}(V1,V5,V0) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #78: mergings( V3 == V4, V4 == V7, V5 == V8; #74 ), references = 1, size of lhs = 8:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V3,V4) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #83: mergings( V3 == V4, V4 == V6, V5 == V7; #79 ), references = 2, size of lhs = 7:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #87: exists( #10, #83 ), references = 1, size of lhs = 6:
% 0.51/0.69 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Orderings_Oorder-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #97: mergings( V1 == V2, V2 == V4, V4 == V7, V3 == V5, V5 == V6; #91 ), references = 1, size of lhs = 2:
% 0.51/0.69 P_t_b-{F}(V0), P_c_0-{F}(V1) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #102: mergings( V1 == V2, V2 == V3, V3 == V4; #98 ), references = 1, size of lhs = 1:
% 0.51/0.69 P_c_0-{F}(V0) | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 #104: exists( #9, #98 ), references = 1, size of lhs = 0:
% 0.51/0.69 FALSE | FALSE
% 0.51/0.69 (used 0 times, uses = {})
% 0.51/0.69
% 0.51/0.69 number of learnt formulas = 13
% 0.51/0.69
% 0.51/0.69
% 0.51/0.69 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.51/0.69
% 0.51/0.69 randbase = 1
%------------------------------------------------------------------------------