TSTP Solution File: ANA024-2 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n025.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 0.37s 0.54s
% Output : Refutation 0.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA024-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n025.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 00:35:41 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.37/0.54 GeoParameters:
% 0.37/0.54
% 0.37/0.54 tptp_input = 1
% 0.37/0.54 tptp_output = 0
% 0.37/0.54 nonempty = 1
% 0.37/0.54 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54
% 0.37/0.54 RuleSystem INPUT:
% 0.37/0.54
% 0.37/0.54 Initial Rules:
% 0.37/0.54 #0: input, references = 6, size of lhs = 4:
% 0.37/0.54 class_OrderedGroup_Oab__group__add-{F}(V0), P_c_minus-{F}(V2,V1,V0,V3), P_c_plus-{F}(V3,V1,V0,V4), V2 == V4 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #1: input, references = 5, size of lhs = 4:
% 0.37/0.54 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), P_c_plus-{F}(V3,V2,V0,V4), P_c_minus-{F}(V1,V2,V0,V5), c_lessequals-{F}(V4,V1,V0) | c_lessequals-{T}(V3,V5,V0)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #2: input, references = 4, size of lhs = 3:
% 0.37/0.54 P_t_b-{F}(V0), P_v_k-{F}(V1,V2), P_v_f-{F}(V1,V3) | c_lessequals-{T}(V2,V3,V0)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #3: input, references = 5, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V2,V3,V0,V4), P_v_f-{F}(V1,V5), P_c_minus-{F}(V5,V3,V0,V6), c_lessequals-{F}(V4,V6,V0) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #4: input, references = 5, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V2,V3,V0,V4), P_v_f-{F}(V1,V5), P_c_minus-{F}(V5,V3,V0,V6), class_OrderedGroup_Opordered__ab__group__add-{F}(V7) | class_OrderedGroup_Oab__group__add-{T}(V7)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #5: input, references = 7, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V2,V3,V0,V4), P_v_f-{F}(V1,V5), P_c_minus-{F}(V5,V3,V0,V6), class_Ring__and__Field_Oordered__idom-{F}(V7) | class_OrderedGroup_Opordered__ab__group__add-{T}(V7)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #6: input, references = 7, size of lhs = 7:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V2,V3,V0,V4), P_v_f-{F}(V1,V5), P_c_minus-{F}(V5,V3,V0,V6) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #7: input, references = 5, size of lhs = 3:
% 0.37/0.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_plus-{T}(V0,V1,V2,V3)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #8: input, references = 9, size of lhs = 3:
% 0.37/0.54 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #9: input, references = 4, size of lhs = 1:
% 0.37/0.54 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #10: input, references = 4, size of lhs = 1:
% 0.37/0.54 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #11: input, references = 4, size of lhs = 0:
% 0.37/0.54 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #12: input, references = 4, size of lhs = 0:
% 0.37/0.54 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #13: input, references = 5, size of lhs = 1:
% 0.37/0.54 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 number of initial rules = 14
% 0.37/0.54
% 0.37/0.54 Simplifiers:
% 0.37/0.54 #14: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 class_OrderedGroup_Oab__group__add-{F}(V0), class_OrderedGroup_Oab__group__add-{F}(V1), V0 == V1 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #15: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 class_OrderedGroup_Opordered__ab__group__add-{F}(V0), class_OrderedGroup_Opordered__ab__group__add-{F}(V1), V0 == V1 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #16: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #17: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #18: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_c_plus-{F}(V0,V1,V2,V3), P_c_plus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #19: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #20: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #21: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #22: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #23: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #24: unsound, references = 3, size of lhs = 3:
% 0.37/0.54 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 number of simplifiers = 11
% 0.37/0.54
% 0.37/0.54 Learnt:
% 0.37/0.54 #31: mergings( V4 == V5, V5 == V6; #28 ), references = 2, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V4,V5,V0,V6), P_c_plus-{F}(V6,V5,V0,V7), V4 == V7 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #34: exists( #7, #31 ), references = 2, size of lhs = 6:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3), P_c_minus-{F}(V4,V5,V0,V6) | P_c_plus-{T}(V6,V5,V0,V4)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #35: exists( #7, #0 ), references = 1, size of lhs = 2:
% 0.37/0.54 class_OrderedGroup_Oab__group__add-{F}(V0), P_c_minus-{F}(V1,V2,V0,V3) | P_c_plus-{T}(V3,V2,V0,V1)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #49: mergings( V4 == V7, V5 == V0, V7 == V8, V8 == V9, V6 == V1; #43 ), references = 1, size of lhs = 6:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), c_lessequals-{F}(V2,V2,V0), P_v_f-{F}(V1,V2), P_v_g-{F}(V1,V3) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #52: mergings( V2 == V3; #50 ), references = 1, size of lhs = 5:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), c_lessequals-{F}(V2,V2,V0), P_v_f-{F}(V1,V2) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #67: mergings( V4 == V7, V5 == V8, V6 == V9, V7 == V10, V8 == V11, V9 == V12; #59 ), references = 1, size of lhs = 9:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_g-{F}(V1,V2), P_v_f-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_minus-{F}(V4,V2,V0,V5), P_c_minus-{F}(V6,V7,V0,V8), P_c_plus-{F}(V8,V7,V0,V9), V6 == V9 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #71: mergings( V4 == V6, V6 == V7; #68 ), references = 2, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_g-{F}(V1,V2), P_v_f-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_minus-{F}(V5,V6,V0,V7), P_c_plus-{F}(V7,V6,V0,V8), V5 == V8 | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #74: exists( #7, #71 ), references = 2, size of lhs = 6:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_g-{F}(V1,V2), P_v_f-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_minus-{F}(V5,V6,V0,V7) | P_c_plus-{T}(V7,V6,V0,V5)
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #85: mergings( V4 == V6, V5 == V7, V8 == V9, V6 == V10, V7 == V11, V9 == V12; #78 ), references = 1, size of lhs = 8:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_g-{F}(V1,V2), P_v_f-{F}(V1,V3), P_v_k-{F}(V1,V4), P_c_minus-{F}(V4,V2,V0,V5), P_c_plus-{F}(V5,V2,V0,V6), c_lessequals-{F}(V6,V3,V0) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #94: mergings( V4 == V8, V7 == V0, V6 == V9, V8 == V10, V10 == V11, V5 == V1; #87 ), references = 1, size of lhs = 6:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_g-{F}(V1,V2), P_v_f-{F}(V1,V3), P_v_k-{F}(V1,V4), c_lessequals-{F}(V4,V3,V0) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #98: mergings( V3 == V4, V2 == V5; #95 ), references = 1, size of lhs = 5:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_f-{F}(V1,V2), P_v_k-{F}(V1,V3), c_lessequals-{F}(V3,V2,V0) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #102: mergings( V3 == V4; #100 ), references = 1, size of lhs = 3:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #104: exists( #9, #100 ), references = 1, size of lhs = 2:
% 0.37/0.54 P_t_b-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #106: exists( #12, #103 ), references = 1, size of lhs = 1:
% 0.37/0.54 P_t_b-{F}(V0) | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 #108: exists( #11, #105 ), references = 1, size of lhs = 0:
% 0.37/0.54 FALSE | FALSE
% 0.37/0.54 (used 0 times, uses = {})
% 0.37/0.54
% 0.37/0.54 number of learnt formulas = 15
% 0.37/0.54
% 0.37/0.54
% 0.37/0.54 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.54
% 0.37/0.54 randbase = 1
%------------------------------------------------------------------------------