TSTP Solution File: ANA038-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 05:57:49 EDT 2022
% Result : Unsatisfiable 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ANA038-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 00:37:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.51 GeoParameters:
% 0.19/0.51
% 0.19/0.51 tptp_input = 1
% 0.19/0.51 tptp_output = 0
% 0.19/0.51 nonempty = 1
% 0.19/0.51 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 RuleSystem INPUT:
% 0.19/0.51
% 0.19/0.51 Initial Rules:
% 0.19/0.51 #0: input, references = 4, size of lhs = 4:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3) | c_lessequals-{T}(V0,V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #1: input, references = 4, size of lhs = 8:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7) | c_lessequals-{T}(V5,V7,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #2: input, references = 5, size of lhs = 12:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), c_lessequals-{F}(V5,V10,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #3: input, references = 6, size of lhs = 11:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10) | class_Ring__and__Field_Oordered__idom-{T}(V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #4: input, references = 4, size of lhs = 13:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Orderings_Olinorder-{F}(V11), P_c_Orderings_Omax-{F}(V12,V13,V11,V14) | c_lessequals-{T}(V13,V14,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #5: input, references = 5, size of lhs = 14:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Orderings_Oorder-{F}(V11), c_lessequals-{F}(V14,V12,V11), c_lessequals-{F}(V13,V14,V11) | c_lessequals-{T}(V13,V12,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #6: input, references = 5, size of lhs = 16:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Ring__and__Field_Opordered__semiring-{F}(V11), c_lessequals-{F}(V0,V12,V11), P_c_times-{F}(V14,V12,V11,V15), P_c_times-{F}(V13,V12,V11,V16), c_lessequals-{F}(V14,V13,V11) | c_lessequals-{T}(V15,V16,V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #7: input, references = 4, size of lhs = 12:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_Orderings_Olinorder-{T}(V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #8: input, references = 5, size of lhs = 12:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_Ring__and__Field_Opordered__semiring-{T}(V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #9: input, references = 5, size of lhs = 12:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V2,V3,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V3,V9), P_c_times-{F}(V9,V2,V3,V10), class_Ring__and__Field_Oordered__idom-{F}(V11) | class_Orderings_Oorder-{T}(V11)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #10: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_c_0-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #11: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_v_g-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #12: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_v_xa-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #13: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_t_b-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #14: input, references = 4, size of lhs = 2:
% 0.19/0.51 #-{F} V0, #-{F} V1 | EXISTS V2: P_c_HOL_Oabs-{T}(V0,V1,V2)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #15: input, references = 4, size of lhs = 1:
% 0.19/0.51 #-{F} V0 | EXISTS V1: P_v_b-{T}(V0,V1)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #16: input, references = 7, size of lhs = 3:
% 0.19/0.51 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_times-{T}(V0,V1,V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #17: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_v_ca-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #18: input, references = 4, size of lhs = 3:
% 0.19/0.51 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_c_Orderings_Omax-{T}(V0,V1,V2,V3)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #19: input, references = 4, size of lhs = 0:
% 0.19/0.51 FALSE | EXISTS V0: P_v_c-{T}(V0)
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of initial rules = 20
% 0.19/0.51
% 0.19/0.51 Simplifiers:
% 0.19/0.51 #20: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 c_lessequals-{F}(V0,V1,V2), c_lessequals-{F}(V3,V4,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #21: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 class_Ring__and__Field_Oordered__idom-{F}(V0), class_Ring__and__Field_Oordered__idom-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #22: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 class_Orderings_Olinorder-{F}(V0), class_Orderings_Olinorder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #23: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 class_Orderings_Oorder-{F}(V0), class_Orderings_Oorder-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #24: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 class_Ring__and__Field_Opordered__semiring-{F}(V0), class_Ring__and__Field_Opordered__semiring-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #25: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_c_0-{F}(V0), P_c_0-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #26: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_v_g-{F}(V0,V1), P_v_g-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #27: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_v_xa-{F}(V0), P_v_xa-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #28: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_t_b-{F}(V0), P_t_b-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #29: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_c_HOL_Oabs-{F}(V0,V1,V2), P_c_HOL_Oabs-{F}(V0,V1,V5), V2 == V5 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #30: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_v_b-{F}(V0,V1), P_v_b-{F}(V0,V3), V1 == V3 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #31: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_c_times-{F}(V0,V1,V2,V3), P_c_times-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #32: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_v_ca-{F}(V0), P_v_ca-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #33: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_c_Orderings_Omax-{F}(V0,V1,V2,V3), P_c_Orderings_Omax-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #34: unsound, references = 3, size of lhs = 3:
% 0.19/0.51 P_v_c-{F}(V0), P_v_c-{F}(V1), V0 == V1 | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of simplifiers = 15
% 0.19/0.51
% 0.19/0.51 Learnt:
% 0.19/0.51 #36: exists( #16, #2 ), references = 2, size of lhs = 11:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1), P_v_g-{F}(V1,V2), P_t_b-{F}(V3), P_v_b-{F}(V1,V4), P_c_HOL_Oabs-{F}(V4,V3,V5), P_v_ca-{F}(V6), P_v_c-{F}(V7), P_c_Orderings_Omax-{F}(V7,V6,V3,V8), P_c_times-{F}(V8,V2,V3,V9), c_lessequals-{F}(V5,V9,V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #83: mergings( V4 == V9, V9 == V16, V16 == V25, V25 == V32, V32 == V39, V5 == V10, V10 == V17, V17 == V26, V26 == V33, V33 == V40, V6 == V11, V12 == V23, V11 == V18, V19 == V23, V18 == V27, V23 == V28, V27 == V34, V28 == V35, V34 == V41, V35 == V42, V7 == V13, V14 == V24, V13 == V20, V21 == V24, V20 == V29, V24 == V30, V29 == V36, V30 == V37, V36 == V43, V8 == V15, V15 == V22, V22 == V31, V31 == V38, V38 == V44; #47 ), references = 2, size of lhs = 14:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V3,V0,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V0,V9), c_lessequals-{F}(V10,V9,V0), P_c_times-{F}(V10,V3,V0,V11), c_lessequals-{F}(V5,V11,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #119: mergings( V4 == V9, V9 == V16, V16 == V25, V25 == V32, V32 == V39, V5 == V10, V10 == V17, V17 == V26, V26 == V33, V33 == V40, V6 == V11, V12 == V23, V11 == V18, V19 == V23, V18 == V27, V23 == V28, V27 == V34, V28 == V35, V34 == V41, V35 == V42, V7 == V13, V14 == V24, V13 == V20, V21 == V24, V20 == V29, V24 == V30, V29 == V36, V30 == V37, V36 == V43, V37 == V44, V8 == V15, V15 == V22, V22 == V31, V31 == V38, V38 == V45; #48 ), references = 1, size of lhs = 14:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V3,V0,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V0,V9), c_lessequals-{F}(V10,V9,V0), P_c_times-{F}(V10,V3,V0,V11), c_lessequals-{F}(V5,V11,V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #155: mergings( V4 == V9, V9 == V18, V18 == V25, V5 == V10, V10 == V19, V19 == V26, V1 == V27, V6 == V11, V12 == V16, V11 == V20, V16 == V21, V20 == V28, V21 == V29, V7 == V13, V14 == V17, V13 == V22, V17 == V23, V22 == V30, V23 == V31, V8 == V15, V15 == V24, V24 == V32, V0 == V33; #131 ), references = 2, size of lhs = 14:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_ca-{F}(V6), P_c_times-{F}(V6,V3,V0,V7), P_v_c-{F}(V8), P_c_Orderings_Omax-{F}(V8,V6,V0,V9), c_lessequals-{F}(V5,V10,V0), P_c_times-{F}(V11,V3,V0,V10), P_c_Orderings_Omax-{F}(V12,V11,V0,V9) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #161: mergings( V4 == V8, V5 == V9, V6 == V10; #157 ), references = 1, size of lhs = 11:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_ca-{F}(V6), P_v_c-{F}(V7), P_c_Orderings_Omax-{F}(V7,V6,V0,V8), P_c_Orderings_Omax-{F}(V9,V6,V0,V8) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #166: mergings( V4 == V9, V5 == V10, V7 == V11; #162 ), references = 1, size of lhs = 9:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_c_HOL_Oabs-{F}(V4,V0,V5), P_v_ca-{F}(V6), P_v_c-{F}(V7) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #170: mergings( V3 == V6, V4 == V7; #167 ), references = 1, size of lhs = 8:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_b-{F}(V2,V4), P_v_ca-{F}(V5), P_v_c-{F}(V6) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #173: mergings( V2 == V5; #171 ), references = 1, size of lhs = 7:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_g-{F}(V2,V3), c_lessequals-{F}(V1,V3,V0), P_v_ca-{F}(V4), P_v_c-{F}(V5) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #177: mergings( V2 == V4; #175 ), references = 1, size of lhs = 5:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_ca-{F}(V3), P_v_c-{F}(V4) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #180: mergings( V1 == V3; #178 ), references = 1, size of lhs = 4:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2), P_v_ca-{F}(V3) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #183: mergings( V1 == V3; #181 ), references = 1, size of lhs = 3:
% 0.19/0.51 P_t_b-{F}(V0), P_c_0-{F}(V1), P_v_xa-{F}(V2) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #186: mergings( V1 == V2; #184 ), references = 1, size of lhs = 2:
% 0.19/0.51 P_c_0-{F}(V0), P_v_xa-{F}(V1) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #189: mergings( V1 == V2; #187 ), references = 1, size of lhs = 1:
% 0.19/0.51 P_c_0-{F}(V0) | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 #191: exists( #10, #187 ), references = 1, size of lhs = 0:
% 0.19/0.51 FALSE | FALSE
% 0.19/0.51 (used 0 times, uses = {})
% 0.19/0.51
% 0.19/0.51 number of learnt formulas = 14
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51
% 0.19/0.51 randbase = 1
%------------------------------------------------------------------------------