TSTP Solution File: ANA039-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 05:57:50 EDT 2022
% Result : Unsatisfiable 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ANA039-2 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sat Jul 23 00:25:19 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.64 GeoParameters:
% 0.47/0.64
% 0.47/0.64 tptp_input = 1
% 0.47/0.64 tptp_output = 0
% 0.47/0.64 nonempty = 1
% 0.47/0.64 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 RuleSystem INPUT:
% 0.47/0.64
% 0.47/0.64 Initial Rules:
% 0.47/0.64 #0: input, references = 5, size of lhs = 7:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_v_f-{F}(V2,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_times-{F}(V1,V6,V0,V7) | c_lessequals-{T}(V4,V7,V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #1: input, references = 6, size of lhs = 10:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), c_lessequals-{F}(V4,V8,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #2: input, references = 7, size of lhs = 9:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8) | class_Ring__and__Field_Oordered__idom-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #3: input, references = 6, size of lhs = 11:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), class_OrderedGroup_Olordered__ab__group__abs-{F}(V9), P_c_HOL_Oabs-{F}(V10,V9,V11) | c_lessequals-{T}(V10,V11,V9)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #4: input, references = 4, size of lhs = 12:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_OrderedGroup_Olordered__ab__group__abs-{F}(V10), P_c_HOL_Oabs-{F}(V11,V10,V12) | c_lessequals-{T}(V9,V12,V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #5: input, references = 5, size of lhs = 13:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_Orderings_Oorder-{F}(V10), c_lessequals-{F}(V13,V12,V10), c_lessequals-{F}(V11,V13,V10) | c_lessequals-{T}(V11,V12,V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #6: input, references = 5, size of lhs = 15:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_Ring__and__Field_Opordered__semiring-{F}(V10), c_lessequals-{F}(V9,V11,V10), P_c_times-{F}(V13,V11,V10,V14), P_c_times-{F}(V12,V11,V10,V15), c_lessequals-{F}(V13,V12,V10) | c_lessequals-{T}(V14,V15,V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #7: input, references = 5, size of lhs = 11:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_Ring__and__Field_Opordered__semiring-{T}(V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #8: input, references = 5, size of lhs = 11:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_Orderings_Oorder-{T}(V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #9: input, references = 6, size of lhs = 11:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_c_HOL_Oabs-{F}(V1,V0,V5), P_v_f-{F}(V2,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_times-{F}(V5,V7,V0,V8), P_c_0-{F}(V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V10)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #10: input, references = 8, size of lhs = 2:
% 0.47/0.64 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #11: input, references = 4, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #12: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #13: input, references = 9, size of lhs = 3:
% 0.47/0.64 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #14: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #15: input, references = 4, size of lhs = 1:
% 0.47/0.64 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #16: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #17: input, references = 4, size of lhs = 0:
% 0.47/0.64 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of initial rules = 18
% 0.47/0.64
% 0.47/0.64 Simplifiers:
% 0.47/0.64 #18: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #19: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #20: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #21: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #22: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #23: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #24: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #25: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #26: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #27: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #28: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #29: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #30: unsound, references = 3, size of lhs = 3:
% 0.47/0.64 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of simplifiers = 13
% 0.47/0.64
% 0.47/0.64 Learnt:
% 0.47/0.64 #34: mergings( V0 == V4; #32 ), references = 1, size of lhs = 12:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_HOL_Oabs-{F}(V1,V0,V1), P_v_x-{F}(V2), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V0,V4), P_v_f-{F}(V2,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_c_HOL_Oabs-{F}(V7,V0,V4), P_v_h-{F}(V8,V7), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V6) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #85: mergings( V4 == V8, V8 == V14, V14 == V20, V20 == V27, V27 == V32, V32 == V38, V38 == V44, V5 == V9, V6 == V10, V11 == V26, V7 == V12, V9 == V15, V10 == V16, V17 == V26, V12 == V18, V15 == V21, V16 == V22, V23 == V26, V18 == V24, V21 == V28, V22 == V29, V26 == V30, V24 == V31, V28 == V33, V29 == V34, V30 == V35, V31 == V36, V33 == V39, V34 == V40, V35 == V41, V36 == V42, V39 == V45, V40 == V46, V41 == V47, V42 == V50, V13 == V19, V19 == V25, V25 == V37, V37 == V43; #45 ), references = 1, size of lhs = 13:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V4), P_v_h-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), c_lessequals-{F}(V1,V8,V0), P_c_times-{F}(V9,V8,V0,V6), P_c_HOL_Oabs-{F}(V9,V0,V10), c_lessequals-{F}(V10,V3,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #123: mergings( V4 == V8, V8 == V14, V14 == V21, V21 == V27, V27 == V33, V5 == V9, V6 == V10, V11 == V20, V7 == V12, V9 == V15, V10 == V16, V17 == V20, V12 == V18, V15 == V22, V16 == V23, V20 == V24, V18 == V25, V22 == V28, V23 == V29, V24 == V30, V25 == V31, V28 == V34, V29 == V35, V30 == V36, V31 == V37, V13 == V19, V19 == V26, V26 == V32; #94 ), references = 2, size of lhs = 13:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V4), P_v_h-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), c_lessequals-{F}(V1,V8,V0), c_lessequals-{F}(V9,V3,V0), P_c_times-{F}(V9,V8,V0,V10), c_lessequals-{F}(V6,V10,V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #127: mergings( V0 == V5; #125 ), references = 3, size of lhs = 15:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), c_lessequals-{F}(V2,V3,V0), P_v_x-{F}(V4), P_v_h-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), c_lessequals-{F}(V1,V8,V0), P_c_HOL_Oabs-{F}(V9,V0,V6), P_v_h-{F}(V10,V9), P_v_f-{F}(V10,V11), P_c_HOL_Oabs-{F}(V11,V0,V8) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #161: mergings( V4 == V8, V8 == V15, V15 == V20, V0 == V21, V5 == V9, V6 == V10, V11 == V14, V7 == V12, V9 == V16, V10 == V17, V14 == V18, V12 == V19, V16 == V22, V17 == V23, V18 == V24, V19 == V25, V1 == V21, V13 == V20; #141 ), references = 1, size of lhs = 13:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V1), P_c_HOL_Oabs-{F}(V1,V0,V2), P_v_x-{F}(V3), P_v_h-{F}(V3,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_f-{F}(V3,V6), P_c_HOL_Oabs-{F}(V6,V0,V2), P_c_HOL_Oabs-{F}(V7,V0,V5), P_v_h-{F}(V8,V7), P_v_f-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #173: mergings( V3 == V5, V4 == V6, V8 == V9, V5 == V10, V6 == V11, V9 == V12, V10 == V13, V11 == V14, V12 == V15, V0 == V7; #162 ), references = 1, size of lhs = 10:
% 0.47/0.64 P_v_c-{F}(V0), P_c_0-{F}(V0), P_t_a-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V0), P_v_h-{F}(V2,V3), P_c_HOL_Oabs-{F}(V3,V1,V4), P_v_f-{F}(V5,V0), P_v_h-{F}(V5,V6), P_c_HOL_Oabs-{F}(V6,V1,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #179: mergings( V3 == V5, V5 == V7, V7 == V8, V4 == V6; #174 ), references = 1, size of lhs = 8:
% 0.47/0.64 P_v_c-{F}(V0), P_c_0-{F}(V0), P_t_a-{F}(V1), P_v_x-{F}(V2), P_v_f-{F}(V2,V0), P_v_h-{F}(V2,V3), P_v_f-{F}(V4,V0), P_v_h-{F}(V4,V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #208: mergings( V4 == V8, V8 == V15, V15 == V20, V20 == V26, V0 == V27, V5 == V9, V6 == V10, V11 == V14, V7 == V12, V9 == V16, V10 == V17, V14 == V18, V12 == V19, V16 == V21, V17 == V22, V18 == V23, V19 == V24, V21 == V28, V22 == V29, V23 == V30, V24 == V31, V1 == V32, V13 == V25; #184 ), references = 1, size of lhs = 14:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V4), P_v_h-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V0,V8), P_c_HOL_Oabs-{F}(V9,V0,V8), P_c_HOL_Oabs-{F}(V10,V0,V6), P_v_h-{F}(V11,V10), P_v_f-{F}(V11,V12), P_c_HOL_Oabs-{F}(V12,V0,V8) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #228: mergings( V3 == V6, V6 == V10, V10 == V17, V17 == V22, V14 == V23, V4 == V7, V5 == V8, V13 == V15, V7 == V11, V8 == V12, V15 == V16, V11 == V18, V12 == V19, V16 == V20, V18 == V24, V19 == V25, V20 == V26, V9 == V21; #209 ), references = 1, size of lhs = 11:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_c_HOL_Oabs-{F}(V2,V0,V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_v_h-{F}(V4,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_v_f-{F}(V8,V5), P_v_h-{F}(V8,V9), P_c_HOL_Oabs-{F}(V9,V0,V7) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #243: mergings( V3 == V6, V4 == V7, V11 == V12, V6 == V9, V7 == V10, V12 == V13, V9 == V14, V10 == V15, V13 == V16, V14 == V18, V15 == V19, V16 == V20, V8 == V17; #229 ), references = 1, size of lhs = 10:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3), P_v_f-{F}(V3,V4), P_v_h-{F}(V3,V5), P_c_HOL_Oabs-{F}(V5,V0,V6), P_v_f-{F}(V7,V4), P_v_h-{F}(V7,V8), P_c_HOL_Oabs-{F}(V8,V0,V6) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #250: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V6 == V9; #244 ), references = 1, size of lhs = 8:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3), P_v_f-{F}(V3,V4), P_v_h-{F}(V3,V5), P_v_f-{F}(V6,V4), P_v_h-{F}(V6,V5) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #253: mergings( V3 == V5; #251 ), references = 1, size of lhs = 5:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3), P_v_h-{F}(V3,V4) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #256: mergings( V2 == V4; #254 ), references = 1, size of lhs = 4:
% 0.47/0.64 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_c-{F}(V2), P_v_x-{F}(V3) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #258: exists( #17, #254 ), references = 1, size of lhs = 3:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1), P_v_x-{F}(V2) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #260: exists( #16, #257 ), references = 1, size of lhs = 2:
% 0.47/0.64 P_t_a-{F}(V0), P_v_c-{F}(V1) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #262: exists( #14, #259 ), references = 1, size of lhs = 1:
% 0.47/0.64 P_t_a-{F}(V0) | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 #264: exists( #12, #261 ), references = 1, size of lhs = 0:
% 0.47/0.64 FALSE | FALSE
% 0.47/0.64 (used 0 times, uses = {})
% 0.47/0.64
% 0.47/0.64 number of learnt formulas = 17
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.64
% 0.47/0.64 randbase = 1
%------------------------------------------------------------------------------