TSTP Solution File: FLD018-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD018-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n006.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 06:01:04 EDT 2022
% Result : Unsatisfiable 7.64s 7.83s
% Output : Refutation 7.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : FLD018-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n006.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 10:11:48 EDT 2022
% 0.12/0.33 % CPUTime :
% 7.64/7.83 GeoParameters:
% 7.64/7.83
% 7.64/7.83 tptp_input = 1
% 7.64/7.83 tptp_output = 0
% 7.64/7.83 nonempty = 1
% 7.64/7.83 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.64/7.83 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 7.64/7.83
% 7.64/7.83
% 7.64/7.83 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.64/7.83 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.64/7.83
% 7.64/7.83 RuleSystem INPUT:
% 7.64/7.83
% 7.64/7.83 Initial Rules:
% 7.64/7.83 #0: input, references = 7, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1: input, references = 11, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #2: input, references = 19, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #3: input, references = 5, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #4: input, references = 3, size of lhs = 8:
% 7.64/7.83 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #5: input, references = 7, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #6: input, references = 3, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #7: input, references = 7, size of lhs = 6:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #8: input, references = 9, size of lhs = 10:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #9: input, references = 3, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #10: input, references = 4, size of lhs = 2:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #11: input, references = 5, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #12: input, references = 3, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #13: input, references = 3, size of lhs = 2:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #14: input, references = 3, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #15: input, references = 22, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #16: input, references = 16, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #17: input, references = 22, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #18: input, references = 35, size of lhs = 6:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #19: input, references = 10, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #20: input, references = 3, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #21: input, references = 40, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #22: input, references = 37, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #23: input, references = 4, size of lhs = 6:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #24: input, references = 3, size of lhs = 6:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #25: input, references = 58, size of lhs = 4:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #26: input, references = 15, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #27: input, references = 4, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #28: input, references = 4, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | equalish-{T}(V2,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #29: input, references = 5, size of lhs = 5:
% 7.64/7.83 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3), equalish-{F}(V3,V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #30: input, references = 27, size of lhs = 2:
% 7.64/7.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #31: input, references = 4, size of lhs = 0:
% 7.64/7.83 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #32: input, references = 5, size of lhs = 1:
% 7.64/7.83 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #33: input, references = 7, size of lhs = 2:
% 7.64/7.83 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #34: input, references = 4, size of lhs = 0:
% 7.64/7.83 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #35: input, references = 3, size of lhs = 1:
% 7.64/7.83 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #36: input, references = 4, size of lhs = 0:
% 7.64/7.83 FALSE | EXISTS V0: P_a-{T}(V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 number of initial rules = 37
% 7.64/7.83
% 7.64/7.83 Simplifiers:
% 7.64/7.83 #37: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #38: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #39: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #40: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #41: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #42: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #43: unsound, references = 3, size of lhs = 3:
% 7.64/7.83 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 number of simplifiers = 7
% 7.64/7.83
% 7.64/7.83 Learnt:
% 7.64/7.83 #69: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #61 ), references = 1, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_additive_inverse-{F}(V3,V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #81: mergings( V2 == V0, V0 == V4, V4 == V6, V6 == V8, V8 == V10, V3 == V5, V5 == V7, V7 == V9, V9 == V11; #71 ), references = 1, size of lhs = 4:
% 7.64/7.83 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #92: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #86 ), references = 1, size of lhs = 6:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #118: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V0 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #105 ), references = 1, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V0), P_additive_identity-{F}(V2), equalish-{F}(V1,V3), equalish-{F}(V3,V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #131: mergings( V0 == V6, V6 == V7, V1 == V8; #127 ), references = 1, size of lhs = 8:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V3,V2,V4), P_additive_identity-{F}(V4) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #149: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V1 == V4, V4 == V6, V6 == V8, V8 == V10; #139 ), references = 12, size of lhs = 6:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), equalish-{F}(V3,V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #188: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V4 == V9, V9 == V11, V11 == V12; #179 ), references = 2, size of lhs = 9:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V3,V5), P_add-{F}(V5,V4,V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #197: mergings( V3 == V5, V5 == V6, V6 == V7, V7 == V9, V4 == V8, V8 == V10, V10 == V1; #189 ), references = 7, size of lhs = 6:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #211: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V8; #205 ), references = 1, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #237: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #226 ), references = 1, size of lhs = 8:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V0,V3,V1), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #274: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V1 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12; #261 ), references = 1, size of lhs = 9:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), equalish-{F}(V3,V4), equalish-{F}(V0,V4), P_add-{F}(V4,V2,V1), P_add-{F}(V1,V2,V4) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #285: mergings( V0 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #262 ), references = 1, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V5), equalish-{F}(V0,V5), P_add-{F}(V5,V2,V1), P_add-{F}(V1,V2,V5), P_add-{F}(V1,V3,V6), equalish-{F}(V6,V4) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #322: exists( #30, #319 ), references = 1, size of lhs = 6:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #360: mergings( V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V11; #353 ), references = 1, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V3), P_additive_identity-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V0,V5), P_add-{F}(V5,V1,V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #394: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #383 ), references = 3, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_additive_inverse-{F}(V4,V5), equalish-{F}(V5,V6), less_or_equal-{F}(V6,V2), less_or_equal-{F}(V0,V7), P_add-{F}(V7,V1,V6) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #418: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V4 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28; #399 ), references = 2, size of lhs = 17:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V7,V4), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_additive_inverse-{F}(V10,V6), less_or_equal-{F}(V6,V11), less_or_equal-{F}(V11,V8) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #466: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24; #451 ), references = 2, size of lhs = 19:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V7,V4), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), P_a-{F}(V10), P_additive_inverse-{F}(V10,V11), equalish-{F}(V6,V12), equalish-{F}(V12,V11), less_or_equal-{F}(V6,V13), less_or_equal-{F}(V13,V8) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #508: mergings( V3 == V4, V4 == V6, V6 == V13, V13 == V15, V15 == V17, V5 == V7, V7 == V12, V12 == V14, V14 == V16; #498 ), references = 1, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6), equalish-{F}(V6,V7) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #535: mergings( V3 == V9, V9 == V10, V10 == V12, V4 == V8, V8 == V11, V11 == V13; #528 ), references = 1, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_add-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiplicative_identity-{F}(V5), P_additive_identity-{F}(V6) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #555: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #546 ), references = 3, size of lhs = 9:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), less_or_equal-{F}(V3,V2), less_or_equal-{F}(V0,V4), P_add-{F}(V4,V1,V5), less_or_equal-{F}(V5,V3) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #574: mergings( V3 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V4 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24; #559 ), references = 3, size of lhs = 15:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V7,V4), P_additive_identity-{F}(V8), P_multiplicative_identity-{F}(V9), less_or_equal-{F}(V9,V8), less_or_equal-{F}(V6,V9) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #595: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V1 == V5, V5 == V7, V7 == V16, V16 == V18, V18 == V3, V3 == V20, V20 == V22, V22 == V24, V24 == V26; #576 ), references = 1, size of lhs = 15:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V5), less_or_equal-{F}(V0,V5), P_add-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V3), less_or_equal-{F}(V7,V8), P_multiplicative_identity-{F}(V8) | less_or_equal-{T}(V0,V8)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #659: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V20, V5 == V7, V7 == V9, V9 == V11, V11 == V21; #647 ), references = 1, size of lhs = 22:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V2,V6), P_add-{F}(V5,V3,V7), P_multiply-{F}(V7,V2,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V4), less_or_equal-{F}(V9,V6), P_additive_identity-{F}(V10), less_or_equal-{F}(V10,V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), P_additive_inverse-{F}(V12,V8), less_or_equal-{F}(V8,V13), P_add-{F}(V14,V1,V13), less_or_equal-{F}(V14,V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #669: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V20, V5 == V7, V7 == V9, V9 == V11, V11 == V21; #648 ), references = 1, size of lhs = 24:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V2,V6), P_add-{F}(V5,V3,V7), P_multiply-{F}(V7,V2,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V4), less_or_equal-{F}(V9,V6), P_additive_identity-{F}(V10), less_or_equal-{F}(V10,V10), P_multiplicative_identity-{F}(V11), P_a-{F}(V12), P_additive_inverse-{F}(V12,V13), equalish-{F}(V8,V14), equalish-{F}(V14,V13), less_or_equal-{F}(V8,V15), P_add-{F}(V16,V1,V15), less_or_equal-{F}(V16,V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #679: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V14, V5 == V7, V7 == V9, V9 == V11, V11 == V15; #649 ), references = 3, size of lhs = 16:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_additive_inverse-{F}(V6,V7), equalish-{F}(V7,V8), P_add-{F}(V9,V1,V8), less_or_equal-{F}(V9,V0), less_or_equal-{F}(V2,V10), P_add-{F}(V10,V3,V8) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #689: mergings( V3 == V10, V10 == V14, V4 == V11, V11 == V15; #684 ), references = 1, size of lhs = 19:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V4,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V2), less_or_equal-{F}(V8,V4), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V9), P_multiplicative_identity-{F}(V10), P_a-{F}(V11), P_additive_inverse-{F}(V11,V6) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #733: mergings( V3 == V7, V7 == V10, V4 == V11, V11 == V12; #728 ), references = 1, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V5), P_additive_identity-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), P_multiplicative_identity-{F}(V7) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #767: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V16, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17; #754 ), references = 3, size of lhs = 15:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V4), P_multiplicative_identity-{F}(V5), less_or_equal-{F}(V2,V6), P_add-{F}(V6,V3,V7), less_or_equal-{F}(V7,V5), less_or_equal-{F}(V8,V0), P_add-{F}(V8,V1,V9), equalish-{F}(V9,V5) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #779: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V18, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V21; #755 ), references = 2, size of lhs = 20:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V2,V6), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V6), P_add-{F}(V5,V3,V7), P_multiply-{F}(V7,V2,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V4), P_multiplicative_identity-{F}(V9), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V10,V0), P_add-{F}(V10,V1,V11), equalish-{F}(V11,V9) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #790: mergings( V3 == V10, V10 == V15, V4 == V11, V11 == V16; #784 ), references = 1, size of lhs = 21:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V4,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V9), defined-{F}(V9), P_additive_identity-{F}(V10), less_or_equal-{F}(V10,V10), P_multiplicative_identity-{F}(V11), equalish-{F}(V6,V11), less_or_equal-{F}(V8,V12), P_add-{F}(V12,V9,V13), less_or_equal-{F}(V13,V11) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #795: mergings( V3 == V10, V10 == V17, V4 == V11, V11 == V20; #785 ), references = 3, size of lhs = 26:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), P_add-{F}(V3,V1,V5), P_multiply-{F}(V5,V0,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V2), less_or_equal-{F}(V4,V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V10), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V8,V12), P_additive_identity-{F}(V12), less_or_equal-{F}(V12,V12), P_add-{F}(V11,V9,V13), P_multiply-{F}(V13,V8,V14), defined-{F}(V15), P_additive_inverse-{F}(V15,V10), P_multiplicative_identity-{F}(V15), less_or_equal-{F}(V14,V15), equalish-{F}(V6,V15) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #843: mergings( V23 == V53, V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V2, V2 == V13, V13 == V15, V15 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V46, V19 == V42, V42 == V50, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V53, V53 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V47; #806 ), references = 1, size of lhs = 32:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V3,V1), P_add-{F}(V6,V4,V7), P_multiply-{F}(V7,V3,V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_additive_inverse-{F}(V9,V5), P_add-{F}(V1,V0,V9), equalish-{F}(V9,V8), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V10,V5), defined-{F}(V12), P_multiply-{F}(V12,V10,V2), P_add-{F}(V12,V11,V13), P_multiply-{F}(V13,V10,V14), equalish-{F}(V14,V9), defined-{F}(V15), defined-{F}(V16), P_multiply-{F}(V16,V15,V5), defined-{F}(V17), P_multiply-{F}(V17,V15,V1), P_add-{F}(V17,V16,V18), P_multiply-{F}(V18,V15,V8) | less_or_equal-{T}(V1,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #878: mergings( V23 == V49, V0 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V2, V2 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V46, V19 == V42, V1 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V49, V49 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V47; #807 ), references = 1, size of lhs = 28:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V2,V1,V3), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V1,V5), defined-{F}(V5), P_additive_identity-{F}(V5), equalish-{F}(V5,V6), P_add-{F}(V4,V2,V7), P_multiply-{F}(V7,V1,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V3), P_multiplicative_identity-{F}(V9), P_add-{F}(V5,V0,V9), equalish-{F}(V9,V8), defined-{F}(V10), defined-{F}(V11), P_multiply-{F}(V11,V10,V3), defined-{F}(V12), P_multiply-{F}(V12,V10,V6), P_add-{F}(V12,V11,V13), P_multiply-{F}(V13,V10,V14), equalish-{F}(V14,V9), P_additive_inverse-{F}(V5,V15), defined-{F}(V15), P_add-{F}(V5,V15,V5) | less_or_equal-{T}(V5,V5)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #896: mergings( V0 == V2, V2 == V5, V10 == V18, V1 == V3, V3 == V6, V6 == V13; #889 ), references = 1, size of lhs = 25:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V3,V7), P_add-{F}(V0,V2,V7), P_add-{F}(V1,V2,V8), defined-{F}(V8), P_multiplicative_identity-{F}(V8), P_additive_inverse-{F}(V8,V5), P_add-{F}(V6,V4,V9), P_multiply-{F}(V9,V3,V10), equalish-{F}(V10,V8), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V5), defined-{F}(V13), P_multiply-{F}(V13,V11,V0), P_add-{F}(V13,V12,V14), P_multiply-{F}(V14,V11,V7) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #920: mergings( V0 == V2, V2 == V5, V5 == V7, V7 == V9, V9 == V12, V16 == V24, V1 == V3, V3 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V19; #907 ), references = 1, size of lhs = 27:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiply-{F}(V0,V0,V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V3,V7), defined-{F}(V8), P_multiplicative_identity-{F}(V8), P_add-{F}(V1,V2,V8), P_additive_inverse-{F}(V8,V5), P_add-{F}(V6,V4,V9), P_multiply-{F}(V9,V3,V10), equalish-{F}(V10,V8), defined-{F}(V11), defined-{F}(V12), P_multiply-{F}(V12,V11,V5), defined-{F}(V13), P_multiply-{F}(V13,V11,V0), P_add-{F}(V13,V12,V14), P_multiply-{F}(V14,V11,V7), equalish-{F}(V0,V15), P_add-{F}(V15,V2,V16), equalish-{F}(V16,V7) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #980: mergings( V0 == V3, V3 == V7, V4 == V8; #976 ), references = 2, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_additive_inverse-{F}(V5,V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #985: mergings( V2 == V4, V3 == V5; #982 ), references = 7, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_a-{F}(V0), less_or_equal-{F}(V0,V1), less_or_equal-{F}(V1,V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #998: mergings( V0 == V2, V2 == V3, V3 == V7, V1 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11; #989 ), references = 1, size of lhs = 8:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), equalish-{F}(V0,V1), P_multiply-{F}(V0,V0,V2), P_multiply-{F}(V2,V0,V1), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1041: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V1 == V5, V5 == V7, V7 == V10, V10 == V12; #1032 ), references = 1, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), equalish-{F}(V1,V3), P_add-{F}(V0,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1083: mergings( V0 == V2, V2 == V4, V4 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12; #1073 ), references = 1, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V1,V1,V4), P_add-{F}(V0,V2,V4), equalish-{F}(V0,V5), P_add-{F}(V5,V3,V4) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1114: mergings( V0 == V4, V4 == V7, V7 == V10, V10 == V12, V12 == V15, V1 == V5, V5 == V8, V8 == V11, V11 == V13, V13 == V14; #1103 ), references = 1, size of lhs = 13:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5), P_add-{F}(V1,V3,V5), P_add-{F}(V0,V2,V5), P_add-{F}(V0,V3,V6), P_add-{F}(V1,V2,V6), equalish-{F}(V5,V7), P_add-{F}(V7,V4,V6) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1179: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #1166 ), references = 1, size of lhs = 9:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3), equalish-{F}(V1,V3), equalish-{F}(V3,V4), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1190: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #1167 ), references = 1, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V0,V2,V4), equalish-{F}(V1,V4), equalish-{F}(V0,V5), P_add-{F}(V5,V3,V4) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1201: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V9, V9 == V11, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V18; #1168 ), references = 1, size of lhs = 15:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V0), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V3,V4,V5), P_add-{F}(V0,V2,V6), equalish-{F}(V1,V6), equalish-{F}(V6,V7), defined-{F}(V8), P_multiplicative_identity-{F}(V8), P_add-{F}(V7,V8,V5) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1241: mergings( V3 == V5, V5 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V4 == V6, V6 == V1, V1 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #1220 ), references = 1, size of lhs = 5:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V1,V0), P_multiplicative_identity-{F}(V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1257: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #1246 ), references = 1, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V1,V3), P_add-{F}(V0,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V1,V2,V5), equalish-{F}(V5,V0) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1288: mergings( V0 == V2, V2 == V4, V4 == V7, V7 == V9, V1 == V5, V5 == V8, V8 == V10, V10 == V12; #1279 ), references = 3, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_a-{F}(V3), less_or_equal-{F}(V3,V0), P_add-{F}(V1,V2,V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V0,V2,V5), equalish-{F}(V5,V1) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1317: mergings( V0 == V3, V3 == V5, V5 == V2, V2 == V9, V9 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V23, V23 == V25, V1 == V4, V4 == V6, V6 == V10, V10 == V13, V13 == V15, V15 == V16, V16 == V19, V19 == V21, V21 == V24, V24 == V26, V26 == V27; #1295 ), references = 1, size of lhs = 19:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V2,V3,V1), P_add-{F}(V0,V3,V4), equalish-{F}(V4,V2), defined-{F}(V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), equalish-{F}(V2,V7), P_add-{F}(V0,V5,V7), equalish-{F}(V0,V8), P_add-{F}(V8,V6,V7), P_add-{F}(V2,V5,V9), equalish-{F}(V9,V0) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1379: mergings( V11 == V27, V27 == V30, V30 == V42, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V0, V0 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V1, V1 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41; #1338 ), references = 1, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), defined-{F}(V2), P_a-{F}(V2), P_add-{F}(V1,V1,V2), equalish-{F}(V2,V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1419: mergings( V11 == V30, V30 == V27, V27 == V42, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V0, V0 == V28, V28 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V40, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V1; #1339 ), references = 1, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V1), defined-{F}(V1), P_a-{F}(V1), equalish-{F}(V1,V0), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_add-{F}(V2,V2,V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1451: mergings( V17 == V18, V16 == V19, V0 == V2, V2 == V3, V3 == V5, V5 == V8, V8 == V11, V1 == V4, V4 == V6, V6 == V9, V9 == V12, V12 == V13, V13 == V15; #1437 ), references = 1, size of lhs = 12:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_a-{F}(V3), equalish-{F}(V0,V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V0,V1,V5), P_add-{F}(V5,V2,V6), equalish-{F}(V6,V0), P_multiply-{F}(V6,V0,V3) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1499: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1482 ), references = 2, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), equalish-{F}(V0,V4), equalish-{F}(V4,V3), P_add-{F}(V1,V2,V4), P_add-{F}(V0,V2,V5), equalish-{F}(V5,V1) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1514: mergings( V0 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V1 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #1483 ), references = 1, size of lhs = 13:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V0,V5), equalish-{F}(V5,V4), P_add-{F}(V1,V2,V5), P_add-{F}(V1,V3,V6), equalish-{F}(V6,V4), P_add-{F}(V0,V2,V7), equalish-{F}(V7,V1) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1542: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V12, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #1533 ), references = 1, size of lhs = 8:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), equalish-{F}(V0,V3), equalish-{F}(V3,V4), P_add-{F}(V4,V1,V2) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1626: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V15, V15 == V17, V17 == V19, V19 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30; #1601 ), references = 1, size of lhs = 16:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V0,V1,V2), equalish-{F}(V2,V3), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V0,V3,V4), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_add-{F}(V3,V5,V4), P_additive_identity-{F}(V6), equalish-{F}(V0,V6), equalish-{F}(V6,V7), P_add-{F}(V7,V3,V8), equalish-{F}(V3,V8), P_add-{F}(V0,V5,V8) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1635: mergings( V0 == V2, V1 == V4, V4 == V7; #1631 ), references = 1, size of lhs = 10:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V0), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V0,V3), P_multiply-{F}(V3,V1,V2), P_multiplicative_identity-{F}(V4) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1660: mergings( V0 == V4, V4 == V8, V1 == V2, V2 == V5; #1653 ), references = 1, size of lhs = 11:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V0,V4), equalish-{F}(V1,V5), less_or_equal-{F}(V2,V6), P_add-{F}(V6,V3,V5) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1665: mergings( V0 == V4, V4 == V14, V1 == V2, V2 == V5; #1654 ), references = 1, size of lhs = 17:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V2,V6), P_add-{F}(V5,V3,V7), P_multiply-{F}(V7,V2,V8), equalish-{F}(V1,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V4), less_or_equal-{F}(V9,V6), P_additive_identity-{F}(V10), less_or_equal-{F}(V0,V10) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1670: mergings( V0 == V4, V4 == V10, V1 == V2, V2 == V5; #1655 ), references = 1, size of lhs = 17:
% 7.64/7.83 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V5), defined-{F}(V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V6), equalish-{F}(V1,V7), less_or_equal-{F}(V4,V8), P_add-{F}(V8,V5,V7), less_or_equal-{F}(V9,V2), P_add-{F}(V9,V3,V10), equalish-{F}(V10,V0) | less_or_equal-{T}(V0,V1)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1685: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #1679 ), references = 2, size of lhs = 8:
% 7.64/7.83 defined-{F}(V0), defined-{F}(V1), P_a-{F}(V1), equalish-{F}(V0,V2), less_or_equal-{F}(V1,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V1,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1701: mergings( V0 == V2, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13; #1689 ), references = 1, size of lhs = 7:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), equalish-{F}(V0,V1), equalish-{F}(V1,V0), P_multiplicative_identity-{F}(V2) | less_or_equal-{T}(V0,V0)
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1732: mergings( V1 == V4, V4 == V6, V6 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V19, V19 == V22, V2 == V3, V3 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V21, V21 == V23, V23 == V24; #1709 ), references = 1, size of lhs = 3:
% 7.64/7.83 defined-{F}(V0), P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1744: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1734 ), references = 1, size of lhs = 1:
% 7.64/7.83 P_additive_identity-{F}(V0) | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 #1746: exists( #31, #1734 ), references = 1, size of lhs = 0:
% 7.64/7.83 FALSE | FALSE
% 7.64/7.83 (used 0 times, uses = {})
% 7.64/7.83
% 7.64/7.83 number of learnt formulas = 64
% 7.64/7.83
% 7.64/7.83
% 7.64/7.83 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 7.64/7.83
% 7.64/7.83 randbase = 1
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