TSTP Solution File: ANA025-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n018.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 0.20s 0.50s
% Output : Refutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA025-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sat Jul 23 00:33:56 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.50 GeoParameters:
% 0.20/0.50
% 0.20/0.50 tptp_input = 1
% 0.20/0.50 tptp_output = 0
% 0.20/0.50 nonempty = 1
% 0.20/0.50 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50
% 0.20/0.50 RuleSystem INPUT:
% 0.20/0.50
% 0.20/0.50 Initial Rules:
% 0.20/0.50 #0: input, references = 4, size of lhs = 3:
% 0.20/0.50 P_c_0-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), P_c_HOL_Oabs-{F}(V2,V1,V3) | c_lessequals-{T}(V0,V3,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #1: input, references = 4, size of lhs = 4:
% 0.20/0.50 P_c_0-{F}(V0), class_Orderings_Olinorder-{F}(V1), #-{F} V2, #-{F} V3 | c_less-{T}(V3,V2,V1), c_lessequals-{T}(V2,V3,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #2: input, references = 4, size of lhs = 5:
% 0.20/0.50 P_c_0-{F}(V0), class_Orderings_Olinorder-{F}(V1), c_lessequals-{F}(V3,V2,V1), P_c_Orderings_Omax-{F}(V3,V4,V1,V5), c_lessequals-{F}(V4,V2,V1) | c_lessequals-{T}(V5,V2,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #3: input, references = 4, size of lhs = 4:
% 0.20/0.50 P_c_0-{F}(V0), class_Orderings_Oorder-{F}(V1), c_lessequals-{F}(V4,V2,V1), c_lessequals-{F}(V3,V4,V1) | c_lessequals-{T}(V3,V2,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #4: input, references = 4, size of lhs = 3:
% 0.20/0.50 P_c_0-{F}(V0), class_Orderings_Oorder-{F}(V1), c_less-{F}(V2,V3,V1) | c_lessequals-{T}(V2,V3,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #5: input, references = 4, size of lhs = 7:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), c_lessequals-{F}(V0,V5,V4) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #6: input, references = 4, size of lhs = 11:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), c_lessequals-{F}(V6,V9,V4) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #7: input, references = 4, size of lhs = 11:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), class_LOrder_Ojoin__semilorder-{F}(V10) | class_Orderings_Oorder-{T}(V10)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #8: input, references = 4, size of lhs = 11:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), class_OrderedGroup_Olordered__ab__group__abs-{F}(V10) | class_LOrder_Ojoin__semilorder-{T}(V10)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #9: input, references = 4, size of lhs = 11:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_Orderings_Olinorder-{T}(V10)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #10: input, references = 4, size of lhs = 11:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V10)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #11: input, references = 4, size of lhs = 10:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1), P_v_k-{F}(V1,V2), P_v_g-{F}(V1,V3), P_t_b-{F}(V4), P_c_minus-{F}(V2,V3,V4,V5), P_c_Orderings_Omax-{F}(V5,V0,V4,V6), P_v_f-{F}(V1,V7), P_c_minus-{F}(V7,V3,V4,V8), P_c_HOL_Oabs-{F}(V8,V4,V9) | class_Ring__and__Field_Oordered__idom-{T}(V4)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #12: input, references = 4, size of lhs = 0:
% 0.20/0.50 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #13: input, references = 4, size of lhs = 2:
% 0.20/0.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #14: input, references = 4, size of lhs = 3:
% 0.20/0.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Orderings_Omax-{T}(V0,V1,V2,V3)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #15: input, references = 5, size of lhs = 3:
% 0.20/0.50 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_minus-{T}(V0,V1,V2,V3)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #16: input, references = 4, size of lhs = 1:
% 0.20/0.50 #-{F} V0 | EXISTS V1: P_v_k-{T}(V0,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #17: input, references = 4, size of lhs = 0:
% 0.20/0.50 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #18: input, references = 4, size of lhs = 1:
% 0.20/0.50 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #19: input, references = 4, size of lhs = 0:
% 0.20/0.50 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #20: input, references = 4, size of lhs = 1:
% 0.20/0.50 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 number of initial rules = 21
% 0.20/0.50
% 0.20/0.50 Simplifiers:
% 0.20/0.50 #21: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #22: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #23: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #24: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #25: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #26: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 class_LOrder_Ojoin__semilorder-{F}(V0), class_LOrder_Ojoin__semilorder-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #27: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #28: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #29: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #30: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_c_Orderings_Omax-{F}(V0,V1,V2,V3), P_c_Orderings_Omax-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #31: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_c_minus-{F}(V0,V1,V2,V3), P_c_minus-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #32: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_v_k-{F}(V0,V1), P_v_k-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #33: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #34: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #35: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #36: unsound, references = 3, size of lhs = 3:
% 0.20/0.50 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 number of simplifiers = 16
% 0.20/0.50
% 0.20/0.50 Learnt:
% 0.20/0.50 #49: mergings( V0 == V4, V4 == V5; #46 ), references = 2, size of lhs = 9:
% 0.20/0.50 class_Orderings_Olinorder-{F}(V0), class_Orderings_Oorder-{F}(V0), P_t_b-{F}(V0), P_c_0-{F}(V1), c_lessequals-{F}(V1,V2,V0), P_v_x-{F}(V3), P_v_k-{F}(V3,V4), P_v_g-{F}(V3,V5), P_c_minus-{F}(V4,V5,V0,V6) | c_less-{T}(V6,V2,V0)
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #103: mergings( V37 == V38, V38 == V1, V4 == V8, V5 == V9, V8 == V14, V9 == V15, V14 == V22, V15 == V23, V22 == V28, V23 == V29, V28 == V34, V29 == V35, V34 == V39, V35 == V40, V6 == V10, V10 == V16, V16 == V24, V24 == V30, V30 == V36, V36 == V41, V7 == V11, V12 == V20, V13 == V21, V11 == V17, V18 == V20, V19 == V21, V17 == V25, V20 == V26, V21 == V27, V25 == V31, V26 == V32, V27 == V33, V31 == V42, V32 == V43, V33 == V44; #67 ), references = 1, size of lhs = 10:
% 0.20/0.50 P_t_b-{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_c_minus-{F}(V3,V4,V0,V5), P_v_f-{F}(V2,V6), P_c_minus-{F}(V6,V4,V0,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V8) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #128: mergings( V25 == V26, V26 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V24, V24 == V28, V5 == V7, V13 == V17, V14 == V18, V7 == V9, V15 == V17, V16 == V18, V9 == V11, V17 == V19, V18 == V20, V11 == V21, V19 == V22, V20 == V23, V21 == V29, V22 == V30, V23 == V31; #104 ), references = 2, size of lhs = 9:
% 0.20/0.50 P_t_b-{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_v_f-{F}(V2,V5), P_c_minus-{F}(V5,V4,V0,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_HOL_Oabs-{F}(V8,V0,V7) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #131: exists( #13, #128 ), references = 1, size of lhs = 7:
% 0.20/0.50 P_t_b-{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_v_f-{F}(V2,V5), P_c_minus-{F}(V5,V4,V0,V6) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #133: exists( #15, #129 ), references = 1, size of lhs = 6:
% 0.20/0.50 P_t_b-{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_v_f-{F}(V2,V5) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #135: exists( #20, #132 ), references = 1, size of lhs = 5:
% 0.20/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3), P_v_g-{F}(V2,V4) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #137: exists( #18, #134 ), references = 1, size of lhs = 4:
% 0.20/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2), P_v_k-{F}(V2,V3) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #139: exists( #16, #136 ), references = 1, size of lhs = 3:
% 0.20/0.50 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #141: exists( #19, #138 ), references = 1, size of lhs = 2:
% 0.20/0.50 P_c_0-{F}(V0), P_v_x-{F}(V1) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #143: exists( #17, #140 ), references = 1, size of lhs = 1:
% 0.20/0.50 P_c_0-{F}(V0) | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 #145: exists( #12, #142 ), references = 1, size of lhs = 0:
% 0.20/0.50 FALSE | FALSE
% 0.20/0.50 (used 0 times, uses = {})
% 0.20/0.50
% 0.20/0.50 number of learnt formulas = 11
% 0.20/0.50
% 0.20/0.50
% 0.20/0.50 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.50
% 0.20/0.50 randbase = 1
%------------------------------------------------------------------------------