TSTP Solution File: ANA020-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n012.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 05:57:46 EDT 2022
% Result : Unsatisfiable 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ANA020-2 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n012.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 00:29:22 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 GeoParameters:
% 0.19/0.49
% 0.19/0.49 tptp_input = 1
% 0.19/0.49 tptp_output = 0
% 0.19/0.49 nonempty = 1
% 0.19/0.49 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 RuleSystem INPUT:
% 0.19/0.49
% 0.19/0.49 Initial Rules:
% 0.19/0.49 #0: input, references = 4, size of lhs = 3:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), V1 == V0 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #1: input, references = 4, size of lhs = 4:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3) | c_less-{T}(V0,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #2: input, references = 4, size of lhs = 6:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), V4 == V0 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #3: input, references = 5, size of lhs = 11:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), c_lessequals-{F}(V6,V9,V3) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #4: input, references = 6, size of lhs = 10:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9) | class_Ring__and__Field_Oordered__idom-{T}(V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #5: input, references = 4, size of lhs = 13:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), P_c_HOL_Oabs-{F}(V0,V10,V11), class_OrderedGroup_Olordered__ab__group__abs-{F}(V10), V11 == V0 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #6: input, references = 5, size of lhs = 12:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_OrderedGroup_Olordered__ab__group__abs-{F}(V10), P_c_HOL_Oabs-{F}(V11,V10,V12) | c_lessequals-{T}(V0,V12,V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #7: input, references = 4, size of lhs = 12:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_Orderings_Oorder-{F}(V10), c_less-{F}(V12,V11,V10) | c_lessequals-{T}(V12,V11,V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #8: input, references = 5, size of lhs = 14:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V10), c_lessequals-{F}(V0,V11,V10), P_c_times-{F}(V12,V11,V10,V13), c_lessequals-{F}(V0,V12,V10) | c_lessequals-{T}(V0,V13,V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #9: input, references = 5, size of lhs = 11:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_Ring__and__Field_Opordered__cancel__semiring-{T}(V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #10: input, references = 4, size of lhs = 11:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_Orderings_Oorder-{T}(V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #11: input, references = 6, size of lhs = 11:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_times-{F}(V2,V8,V3,V9), class_Ring__and__Field_Oordered__idom-{F}(V10) | class_OrderedGroup_Olordered__ab__group__abs-{T}(V10)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #12: input, references = 4, size of lhs = 1:
% 0.19/0.49 #-{F} V0 | EXISTS V1: P_v_f-{T}(V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #13: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #14: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #15: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_t_a-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #16: input, references = 4, size of lhs = 0:
% 0.19/0.49 FALSE | EXISTS V0: P_v_x-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #17: input, references = 7, size of lhs = 2:
% 0.19/0.49 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #18: input, references = 6, size of lhs = 3:
% 0.19/0.49 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #19: input, references = 4, size of lhs = 1:
% 0.19/0.49 #-{F} V0 | EXISTS V1: P_v_h-{T}(V0,V1)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of initial rules = 20
% 0.19/0.49
% 0.19/0.49 Simplifiers:
% 0.19/0.49 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V1 == V4 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 c_less-{F}(V0,V1,V2), c_less-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V0 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 class_OrderedGroup_Olordered__ab__group__abs-{F}(V0), class_OrderedGroup_Olordered__ab__group__abs-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 class_Ring__and__Field_Opordered__cancel__semiring-{F}(V0), class_Ring__and__Field_Opordered__cancel__semiring-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_v_f-{F}(V0,V1), P_v_f-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_t_a-{F}(V0), P_t_a-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_v_x-{F}(V0), P_v_x-{F}(V1), V0 == V1 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #35: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #36: unsound, references = 3, size of lhs = 3:
% 0.19/0.49 P_v_h-{F}(V0,V1), P_v_h-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of simplifiers = 17
% 0.19/0.49
% 0.19/0.49 Learnt:
% 0.19/0.49 #38: exists( #12, #0 ), references = 1, size of lhs = 1:
% 0.19/0.49 P_c_0-{F}(V0) | P_v_f-{T}(V0,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #40: exists( #16, #2 ), references = 1, size of lhs = 4:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3) | P_v_x-{T}(V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #76: mergings( V26 == V27, V3 == V8, V4 == V9, V8 == V14, V9 == V15, V14 == V25, V15 == V27, V25 == V32, V27 == V33, V5 == V10, V6 == V11, V10 == V16, V11 == V17, V16 == V21, V17 == V22, V21 == V28, V22 == V29, V28 == V34, V29 == V35, V12 == V18, V18 == V20, V20 == V23, V23 == V30, V30 == V32, V7 == V13, V13 == V19, V19 == V24, V24 == V31, V31 == V36; #46 ), references = 1, size of lhs = 10:
% 0.19/0.49 P_t_a-{F}(V0), P_v_c-{F}(V1), P_c_0-{F}(V2), P_v_f-{F}(V2,V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V2), P_v_h-{F}(V4,V6), P_c_HOL_Oabs-{F}(V6,V0,V1), P_c_HOL_Oabs-{F}(V7,V0,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #92: mergings( V4 == V10, V5 == V11, V10 == V16, V11 == V17, V6 == V12, V7 == V13, V12 == V18, V13 == V19, V8 == V14, V14 == V20, V9 == V15, V15 == V21; #79 ), references = 2, size of lhs = 11:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V7,V3,V8), P_c_HOL_Oabs-{F}(V0,V3,V9), V9 == V0 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #100: mergings( V3 == V0, V4 == V9, V0 == V6, V7 == V9, V5 == V8, V8 == V11; #93 ), references = 1, size of lhs = 7:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V0), P_v_h-{F}(V4,V0) | P_c_HOL_Oabs-{T}(V0,V3,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #151: mergings( V39 == V40, V4 == V9, V5 == V10, V9 == V15, V10 == V16, V15 == V21, V16 == V22, V21 == V32, V22 == V33, V32 == V38, V33 == V40, V38 == V45, V40 == V46, V6 == V11, V7 == V12, V11 == V17, V12 == V18, V17 == V23, V18 == V24, V23 == V28, V24 == V29, V28 == V34, V29 == V35, V34 == V41, V35 == V42, V41 == V47, V42 == V48, V13 == V19, V19 == V25, V25 == V27, V27 == V30, V30 == V36, V36 == V43, V43 == V45, V8 == V14, V14 == V20, V20 == V26, V26 == V31, V31 == V37, V37 == V44, V44 == V49; #109 ), references = 1, size of lhs = 11:
% 0.19/0.49 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_f-{F}(V1,V2), P_v_c-{F}(V3), c_less-{F}(V1,V3,V0), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V0,V1), P_v_h-{F}(V4,V6), P_c_HOL_Oabs-{F}(V6,V0,V7), P_c_HOL_Oabs-{F}(V8,V0,V7) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #187: mergings( V26 == V27, V3 == V7, V4 == V8, V7 == V11, V8 == V12, V11 == V15, V12 == V16, V15 == V21, V16 == V22, V21 == V25, V22 == V27, V25 == V37, V27 == V38, V5 == V9, V6 == V10, V9 == V13, V10 == V14, V13 == V17, V14 == V18, V17 == V19, V18 == V20, V19 == V23, V20 == V24, V23 == V34, V24 == V35, V34 == V40, V35 == V41, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V36, V36 == V37; #152 ), references = 2, size of lhs = 9:
% 0.19/0.49 P_t_a-{F}(V0), P_c_0-{F}(V1), P_v_f-{F}(V1,V2), P_v_c-{F}(V3), c_less-{F}(V1,V3,V0), P_v_x-{F}(V4), P_v_h-{F}(V4,V5), P_v_f-{F}(V4,V6), P_c_HOL_Oabs-{F}(V6,V0,V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #189: exists( #17, #92 ), references = 1, size of lhs = 10:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V5), P_c_HOL_Oabs-{F}(V5,V3,V6), P_v_h-{F}(V4,V7), P_c_HOL_Oabs-{F}(V0,V3,V8), V8 == V0 | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #191: exists( #17, #188 ), references = 1, size of lhs = 7:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V1), P_v_c-{F}(V2), P_t_a-{F}(V3), P_v_x-{F}(V4), P_v_f-{F}(V4,V0), P_v_h-{F}(V4,V5) | P_c_HOL_Oabs-{T}(V0,V3,V0)
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #196: mergings( V4 == V6, V2 == V7; #193 ), references = 1, size of lhs = 7:
% 0.19/0.49 P_c_0-{F}(V0), P_t_a-{F}(V1), P_v_f-{F}(V0,V2), P_v_c-{F}(V3), c_less-{F}(V0,V3,V1), P_v_x-{F}(V4), P_v_f-{F}(V4,V0) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #207: mergings( V2 == V5, V6 == V7, V7 == V8, V1 == V5, V5 == V8, V3 == V4, V4 == V9; #199 ), references = 1, size of lhs = 3:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V0), P_v_c-{F}(V1) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #214: mergings( V2 == V3, V4 == V5, V5 == V6, V1 == V3, V3 == V6; #208 ), references = 1, size of lhs = 2:
% 0.19/0.49 P_c_0-{F}(V0), P_v_f-{F}(V0,V0) | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 #217: exists( #13, #215 ), references = 1, size of lhs = 0:
% 0.19/0.49 FALSE | FALSE
% 0.19/0.49 (used 0 times, uses = {})
% 0.19/0.49
% 0.19/0.49 number of learnt formulas = 13
% 0.19/0.49
% 0.19/0.49
% 0.19/0.49 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.49
% 0.19/0.49 randbase = 1
%------------------------------------------------------------------------------