TSTP Solution File: SWV019-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : SWV019-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n024.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 06:20:54 EDT 2022
% Result : Unsatisfiable 1.71s 1.93s
% Output : Refutation 1.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWV019-1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n024.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 : Fri Jul 22 15:10:26 EDT 2022
% 0.12/0.33 % CPUTime :
% 1.71/1.93 GeoParameters:
% 1.71/1.93
% 1.71/1.93 tptp_input = 1
% 1.71/1.93 tptp_output = 0
% 1.71/1.93 nonempty = 1
% 1.71/1.93 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.93 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.93 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.93
% 1.71/1.93 RuleSystem INPUT:
% 1.71/1.93
% 1.71/1.93 Initial Rules:
% 1.71/1.93 #0: input, references = 8, size of lhs = 4:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), #-{F} V3 | less_than-{T}(V3,V0), less_than-{T}(V1,V3), in_array_bounds-{T}(V2,V3)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #1: input, references = 8, size of lhs = 6:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_successor-{F}(V3,V5), P_successor-{F}(V4,V6), less_than-{F}(V5,V6) | less_than-{T}(V3,V4)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #2: input, references = 9, size of lhs = 5:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), less_than-{F}(V3,V4), less_than-{F}(V5,V3) | less_than-{T}(V5,V4)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #3: input, references = 6, size of lhs = 4:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_successor-{F}(V3,V4) | less_than-{T}(V3,V4)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #4: input, references = 4, size of lhs = 8:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_array_value_at-{F}(V2,V3,V5), in_array_bounds-{F}(V2,V3), V4 == V5 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #5: input, references = 9, size of lhs = 7:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_array_value_at-{F}(V2,V3,V5), P_an_index-{F}(V6) | less_than-{T}(V3,V6)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #6: input, references = 4, size of lhs = 8:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_array_value_at-{F}(V2,V3,V5), P_an_index-{F}(V6), less_than-{F}(V6,V0) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #7: input, references = 9, size of lhs = 8:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_array_value_at-{F}(V2,V3,V5), P_an_index-{F}(V6), less_than-{F}(V1,V6) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #8: input, references = 7, size of lhs = 8:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_array_value_at-{F}(V2,V3,V5), P_an_index-{F}(V6), less_than-{F}(V3,V0) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #9: input, references = 6, size of lhs = 12:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V5), P_array_value_at-{F}(V2,V3,V5), P_an_index-{F}(V6), P_successor-{F}(V6,V7), P_successor-{F}(V1,V8), in_array_bounds-{F}(V2,V6), less_than-{F}(V3,V7), in_array_bounds-{F}(V2,V3) | less_than-{T}(V7,V0), less_than-{T}(V8,V7), less_than-{T}(V3,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #10: input, references = 4, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_lower_bound-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #11: input, references = 4, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_upper_bound-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #12: input, references = 4, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_array-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #13: input, references = 7, size of lhs = 1:
% 1.71/1.93 #-{F} V0 | EXISTS V1: P_successor-{T}(V0,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #14: input, references = 4, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_index_of_maximal-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #15: input, references = 5, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_maximal_value-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #16: input, references = 8, size of lhs = 2:
% 1.71/1.93 #-{F} V0, #-{F} V1 | EXISTS V2: P_array_value_at-{T}(V0,V1,V2)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #17: input, references = 5, size of lhs = 0:
% 1.71/1.93 FALSE | EXISTS V0: P_an_index-{T}(V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 number of initial rules = 18
% 1.71/1.93
% 1.71/1.93 Simplifiers:
% 1.71/1.93 #18: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 in_array_bounds-{F}(V0,V1), in_array_bounds-{F}(V2,V3), V0 == V2 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #19: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_lower_bound-{F}(V0), P_lower_bound-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #20: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_upper_bound-{F}(V0), P_upper_bound-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #21: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_array-{F}(V0), P_array-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #22: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_successor-{F}(V0,V1), P_successor-{F}(V0,V3), V1 == V3 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #23: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_index_of_maximal-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #24: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_maximal_value-{F}(V0), P_maximal_value-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #25: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_array_value_at-{F}(V0,V1,V2), P_array_value_at-{F}(V0,V1,V5), V2 == V5 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #26: unsound, references = 3, size of lhs = 3:
% 1.71/1.93 P_an_index-{F}(V0), P_an_index-{F}(V1), V0 == V1 | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 number of simplifiers = 9
% 1.71/1.93
% 1.71/1.93 Learnt:
% 1.71/1.93 #29: exists( #16, #8 ), references = 5, size of lhs = 7:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), less_than-{F}(V3,V0), P_maximal_value-{F}(V4), P_an_index-{F}(V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #30: exists( #16, #6 ), references = 2, size of lhs = 7:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_an_index-{F}(V5), less_than-{F}(V5,V0) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #48: mergings( V0 == V3, V1 == V4, V4 == V8, V2 == V5, V5 == V9, V8 == V3, V6 == V10, V7 == V11; #36 ), references = 1, size of lhs = 6:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_lower_bound-{F}(V0), P_upper_bound-{F}(V0), P_array-{F}(V1), P_maximal_value-{F}(V2), P_an_index-{F}(V3) | in_array_bounds-{T}(V1,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #57: exists( #16, #7 ), references = 4, size of lhs = 7:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_an_index-{F}(V5), less_than-{F}(V1,V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #60: exists( #16, #4 ), references = 5, size of lhs = 6:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), in_array_bounds-{F}(V2,V3), P_maximal_value-{F}(V4) | P_array_value_at-{T}(V2,V3,V4)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #84: mergings( V2 == V5, V5 == V10, V10 == V13, V13 == V16, V1 == V3, V3 == V16, V16 == V7, V7 == V11, V11 == V14, V4 == V8, V8 == V17, V6 == V9, V9 == V12, V12 == V15, V15 == V18; #67 ), references = 1, size of lhs = 5:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_upper_bound-{F}(V0), P_lower_bound-{F}(V0), P_array-{F}(V1), P_maximal_value-{F}(V2) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #98: mergings( V2 == V5, V5 == V8, V8 == V10, V10 == V12, V1 == V3, V3 == V12, V12 == V6, V6 == V9, V9 == V11, V4 == V7, V7 == V13; #85 ), references = 1, size of lhs = 4:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_upper_bound-{F}(V0), P_lower_bound-{F}(V0), P_array-{F}(V1) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #201: mergings( V3 == V6, V4 == V7, V5 == V8, V6 == V9; #196 ), references = 1, size of lhs = 6:
% 1.71/1.93 P_lower_bound-{F}(V0), P_an_index-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #209: mergings( V0 == V8, V4 == V1, V2 == V5, V5 == V9, V6 == V10, V7 == V11; #202 ), references = 1, size of lhs = 6:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), P_index_of_maximal-{F}(V3), P_maximal_value-{F}(V4), P_an_index-{F}(V5) | in_array_bounds-{T}(V2,V5)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #297: mergings( V3 == V6, V6 == V9, V4 == V7, V7 == V10, V8 == V0, V5 == V12; #290 ), references = 2, size of lhs = 7:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), less_than-{F}(V1,V2), P_index_of_maximal-{F}(V2), P_an_index-{F}(V3), P_array-{F}(V4), P_maximal_value-{F}(V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #331: mergings( V0 == V12, V12 == V15, V1 == V8, V8 == V13, V13 == V16, V2 == V9, V9 == V14, V14 == V17, V3 == V10, V10 == V18, V4 == V11, V11 == V19, V5 == V6; #314 ), references = 1, size of lhs = 13:
% 1.71/1.93 P_an_index-{F}(V0), P_successor-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), less_than-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), less_than-{F}(V5,V0), P_index_of_maximal-{F}(V5), P_array_value_at-{F}(V4,V5,V6), P_maximal_value-{F}(V6) | less_than-{T}(V5,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #346: mergings( V0 == V12, V12 == V15, V1 == V8, V8 == V13, V13 == V16, V2 == V9, V9 == V14, V14 == V17, V3 == V10, V10 == V18, V4 == V11, V11 == V19, V19 == V20, V5 == V6; #315 ), references = 1, size of lhs = 13:
% 1.71/1.93 P_an_index-{F}(V0), P_successor-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), less_than-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), less_than-{F}(V5,V0), P_index_of_maximal-{F}(V5), P_maximal_value-{F}(V6), P_array_value_at-{F}(V4,V5,V6) | less_than-{T}(V5,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #361: mergings( V0 == V13, V13 == V16, V1 == V8, V8 == V14, V14 == V17, V2 == V9, V9 == V15, V15 == V18, V3 == V10, V10 == V19, V4 == V11, V11 == V20, V20 == V12, V5 == V6; #316 ), references = 1, size of lhs = 13:
% 1.71/1.93 P_an_index-{F}(V0), P_successor-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), less_than-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), less_than-{F}(V5,V0), P_index_of_maximal-{F}(V5), P_array_value_at-{F}(V4,V5,V6), P_maximal_value-{F}(V6) | less_than-{T}(V5,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #397: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V22, V22 == V25, V25 == V30, V1 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V23, V23 == V26, V26 == V31, V6 == V19, V19 == V24, V24 == V27, V27 == V2, V3 == V20, V20 == V28, V7 == V12, V12 == V14, V14 == V21, V21 == V29, V29 == V32, V5 == V15, V15 == V16, V16 == V33; #368 ), references = 1, size of lhs = 10:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), less_than-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V5), P_an_index-{F}(V5), P_maximal_value-{F}(V6) | less_than-{T}(V0,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #426: mergings( V0 == V4, V4 == V8, V8 == V10, V10 == V22, V22 == V25, V25 == V30, V1 == V9, V9 == V11, V11 == V13, V13 == V18, V18 == V23, V23 == V26, V26 == V31, V6 == V2, V2 == V19, V19 == V24, V24 == V27, V27 == V32, V3 == V20, V20 == V28, V7 == V12, V12 == V14, V14 == V21, V21 == V29, V29 == V33, V5 == V15, V15 == V16, V16 == V34; #369 ), references = 1, size of lhs = 10:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), less_than-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V5), P_an_index-{F}(V5), P_maximal_value-{F}(V6) | less_than-{T}(V0,V1)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #463: mergings( V2 == V5, V5 == V10, V10 == V12, V12 == V22, V22 == V25, V25 == V29, V29 == V34, V3 == V6, V6 == V11, V11 == V13, V13 == V18, V18 == V23, V23 == V0, V0 == V30, V30 == V35, V4 == V8, V8 == V19, V19 == V24, V24 == V26, V26 == V31, V31 == V36, V20 == V27, V27 == V37, V9 == V14, V14 == V15, V15 == V21, V21 == V28, V28 == V32, V32 == V38, V7 == V16, V16 == V17, V17 == V33, V33 == V39; #429 ), references = 1, size of lhs = 8:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), in_array_bounds-{F}(V2,V3), P_successor-{F}(V3,V3), P_an_index-{F}(V3), P_index_of_maximal-{F}(V4), P_maximal_value-{F}(V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #477: mergings( V1 == V8, V8 == V12, V2 == V9, V9 == V13, V6 == V3, V4 == V10, V10 == V14, V5 == V11, V11 == V15; #464 ), references = 3, size of lhs = 12:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V0), P_an_index-{F}(V5), P_array_value_at-{F}(V4,V0,V6), P_maximal_value-{F}(V6) | less_than-{T}(V3,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #488: mergings( V1 == V8, V8 == V12, V2 == V9, V9 == V13, V6 == V3, V4 == V10, V10 == V14, V14 == V15, V5 == V11, V11 == V16; #465 ), references = 1, size of lhs = 12:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V0), P_an_index-{F}(V5), P_maximal_value-{F}(V6), P_array_value_at-{F}(V4,V0,V6) | less_than-{T}(V3,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #499: mergings( V1 == V8, V8 == V13, V2 == V9, V9 == V14, V6 == V3, V4 == V10, V10 == V15, V15 == V11, V5 == V12, V12 == V16; #466 ), references = 1, size of lhs = 12:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_successor-{F}(V2,V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V0), P_an_index-{F}(V5), P_array_value_at-{F}(V4,V0,V6), P_maximal_value-{F}(V6) | less_than-{T}(V3,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #525: mergings( V0 == V4, V4 == V8, V8 == V19, V19 == V24, V1 == V9, V9 == V10, V10 == V14, V14 == V15, V15 == V20, V6 == V2, V2 == V16, V16 == V21, V21 == V26, V13 == V3, V7 == V11, V11 == V17, V17 == V22, V22 == V27, V5 == V12, V12 == V18, V18 == V23, V23 == V25; #502 ), references = 1, size of lhs = 10:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V0), P_upper_bound-{F}(V1), P_successor-{F}(V1,V1), P_lower_bound-{F}(V2), P_an_index-{F}(V3), P_successor-{F}(V3,V0), P_array-{F}(V4), in_array_bounds-{F}(V4,V3), P_maximal_value-{F}(V5) | less_than-{T}(V0,V2)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #538: mergings( V0 == V8, V4 == V1, V2 == V5, V5 == V10, V6 == V11, V7 == V9; #531 ), references = 1, size of lhs = 6:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_index_of_maximal-{F}(V2), P_an_index-{F}(V3), P_array-{F}(V4), P_maximal_value-{F}(V5) | in_array_bounds-{T}(V4,V2)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #559: mergings( V3 == V7, V7 == V10, V8 == V0, V4 == V9, V9 == V11, V2 == V12, V6 == V13, V5 == V14; #549 ), references = 1, size of lhs = 11:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), in_array_bounds-{F}(V2,V3), less_than-{F}(V3,V3), P_index_of_maximal-{F}(V3), in_array_bounds-{F}(V2,V4), P_an_index-{F}(V4), P_successor-{F}(V4,V3), P_array_value_at-{F}(V2,V3,V5), P_maximal_value-{F}(V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #569: mergings( V3 == V7, V7 == V10, V8 == V0, V4 == V9, V9 == V11, V2 == V12, V6 == V13, V13 == V14, V5 == V15; #550 ), references = 1, size of lhs = 11:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2), in_array_bounds-{F}(V2,V3), less_than-{F}(V3,V3), P_index_of_maximal-{F}(V3), in_array_bounds-{F}(V2,V4), P_an_index-{F}(V4), P_successor-{F}(V4,V3), P_maximal_value-{F}(V5), P_array_value_at-{F}(V2,V3,V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #609: mergings( V8 == V0, V0 == V16, V16 == V19, V1 == V9, V9 == V11, V11 == V17, V17 == V20, V2 == V10, V10 == V12, V12 == V18, V18 == V21, V3 == V13, V13 == V22, V4 == V14, V14 == V23, V5 == V15, V15 == V24; #586 ), references = 1, size of lhs = 12:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_successor-{F}(V1,V2), P_array-{F}(V3), in_array_bounds-{F}(V3,V4), P_index_of_maximal-{F}(V4), P_array_value_at-{F}(V3,V4,V5), P_maximal_value-{F}(V5), in_array_bounds-{F}(V3,V6), P_an_index-{F}(V6), less_than-{F}(V4,V7), P_successor-{F}(V6,V7) | less_than-{T}(V4,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #628: mergings( V8 == V0, V0 == V16, V16 == V19, V1 == V9, V9 == V11, V11 == V17, V17 == V20, V2 == V10, V10 == V12, V12 == V18, V18 == V21, V3 == V13, V13 == V22, V4 == V14, V14 == V23, V23 == V24, V5 == V15, V15 == V25; #587 ), references = 1, size of lhs = 12:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_successor-{F}(V1,V2), P_array-{F}(V3), in_array_bounds-{F}(V3,V4), P_index_of_maximal-{F}(V4), in_array_bounds-{F}(V3,V5), P_an_index-{F}(V5), less_than-{F}(V4,V6), P_successor-{F}(V5,V6), P_maximal_value-{F}(V7), P_array_value_at-{F}(V3,V4,V7) | less_than-{T}(V4,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #647: mergings( V0 == V8, V8 == V11, V11 == V17, V17 == V20, V1 == V9, V9 == V12, V12 == V18, V18 == V21, V2 == V10, V10 == V13, V13 == V19, V19 == V22, V3 == V14, V14 == V23, V4 == V15, V15 == V24, V5 == V16, V16 == V25; #588 ), references = 1, size of lhs = 13:
% 1.71/1.93 P_lower_bound-{F}(V0), P_successor-{F}(V0,V0), P_upper_bound-{F}(V1), P_successor-{F}(V1,V2), P_array-{F}(V3), in_array_bounds-{F}(V3,V4), P_index_of_maximal-{F}(V4), P_array_value_at-{F}(V3,V4,V5), P_maximal_value-{F}(V5), in_array_bounds-{F}(V3,V6), P_an_index-{F}(V6), less_than-{F}(V4,V7), P_successor-{F}(V6,V7) | less_than-{T}(V4,V0)
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #672: mergings( V7 == V15, V15 == V18, V18 == V23, V8 == V10, V10 == V16, V16 == V0, V0 == V24, V2 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V25, V3 == V12, V12 == V20, V4 == V13, V13 == V21, V21 == V26, V5 == V14, V14 == V22, V22 == V27; #650 ), references = 1, size of lhs = 11:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V1), P_lower_bound-{F}(V2), P_upper_bound-{F}(V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), P_array_value_at-{F}(V4,V0,V5), P_maximal_value-{F}(V5), in_array_bounds-{F}(V4,V6), P_successor-{F}(V6,V1), P_an_index-{F}(V6) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #694: mergings( V7 == V15, V15 == V18, V18 == V23, V8 == V10, V10 == V16, V16 == V0, V0 == V24, V2 == V9, V9 == V11, V11 == V17, V17 == V19, V19 == V25, V3 == V12, V12 == V20, V4 == V13, V13 == V21, V21 == V26, V26 == V27, V5 == V14, V14 == V22, V22 == V28; #651 ), references = 1, size of lhs = 11:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V1), P_lower_bound-{F}(V2), P_upper_bound-{F}(V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V5), P_successor-{F}(V5,V1), P_an_index-{F}(V5), P_maximal_value-{F}(V6), P_array_value_at-{F}(V4,V0,V6) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #725: mergings( V2 == V5, V5 == V11, V11 == V18, V18 == V21, V21 == V26, V3 == V6, V6 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V27, V4 == V7, V7 == V8, V8 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V28, V9 == V24, V10 == V16, V16 == V25, V25 == V29, V0 == V17, V17 == V30; #699 ), references = 1, size of lhs = 10:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V1), P_an_index-{F}(V1), P_lower_bound-{F}(V2), P_upper_bound-{F}(V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V1), P_array_value_at-{F}(V4,V0,V5), P_maximal_value-{F}(V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #751: mergings( V2 == V5, V5 == V11, V11 == V18, V18 == V21, V21 == V26, V3 == V6, V6 == V12, V12 == V14, V14 == V19, V19 == V22, V22 == V27, V4 == V7, V7 == V8, V8 == V13, V13 == V15, V15 == V20, V20 == V23, V23 == V28, V9 == V24, V10 == V16, V16 == V25, V25 == V29, V29 == V30, V0 == V17, V17 == V31; #700 ), references = 1, size of lhs = 10:
% 1.71/1.93 P_index_of_maximal-{F}(V0), less_than-{F}(V0,V1), P_an_index-{F}(V1), P_lower_bound-{F}(V2), P_upper_bound-{F}(V3), P_array-{F}(V4), in_array_bounds-{F}(V4,V0), in_array_bounds-{F}(V4,V1), P_maximal_value-{F}(V5), P_array_value_at-{F}(V4,V0,V5) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #806: mergings( V1 == V6, V6 == V11, V11 == V15, V15 == V19, V19 == V21, V21 == V24, V24 == V27, V27 == V32, V32 == V38, V38 == V41, V41 == V46, V2 == V7, V7 == V12, V12 == V16, V16 == V20, V20 == V22, V22 == V25, V25 == V28, V28 == V33, V33 == V35, V35 == V39, V39 == V42, V42 == V47, V3 == V8, V8 == V13, V13 == V17, V17 == V26, V26 == V29, V29 == V34, V34 == V36, V36 == V40, V40 == V43, V43 == V48, V4 == V9, V9 == V30, V30 == V44, V5 == V10, V10 == V14, V14 == V18, V18 == V23, V23 == V31, V31 == V37, V37 == V45, V45 == V49; #760 ), references = 1, size of lhs = 5:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_array-{F}(V3), P_maximal_value-{F}(V4) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #845: mergings( V1 == V5, V5 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V26, V26 == V31, V31 == V34, V34 == V38, V2 == V6, V6 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V27, V27 == V29, V29 == V32, V32 == V35, V35 == V39, V3 == V7, V7 == V11, V11 == V14, V14 == V21, V21 == V24, V24 == V28, V28 == V30, V30 == V33, V33 == V36, V36 == V40, V4 == V8, V8 == V25, V25 == V37; #807 ), references = 1, size of lhs = 4:
% 1.71/1.93 P_index_of_maximal-{F}(V0), P_lower_bound-{F}(V1), P_upper_bound-{F}(V2), P_array-{F}(V3) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #881: mergings( V1 == V4, V4 == V7, V7 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V28, V28 == V31, V31 == V34, V2 == V5, V5 == V8, V8 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V24, V24 == V26, V26 == V29, V29 == V32, V32 == V35, V3 == V6, V6 == V9, V9 == V12, V12 == V19, V19 == V22, V22 == V25, V25 == V27, V27 == V30, V30 == V33, V33 == V36; #846 ), references = 1, size of lhs = 3:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1), P_array-{F}(V2) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #907: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25; #882 ), references = 1, size of lhs = 2:
% 1.71/1.93 P_lower_bound-{F}(V0), P_upper_bound-{F}(V1) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #921: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #908 ), references = 1, size of lhs = 1:
% 1.71/1.93 P_lower_bound-{F}(V0) | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 #924: exists( #10, #908 ), references = 1, size of lhs = 0:
% 1.71/1.93 FALSE | FALSE
% 1.71/1.93 (used 0 times, uses = {})
% 1.71/1.93
% 1.71/1.93 number of learnt formulas = 36
% 1.71/1.93
% 1.71/1.93
% 1.71/1.93 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.71/1.93
% 1.71/1.93 randbase = 1
%------------------------------------------------------------------------------