%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD034-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n003.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 06:01:08 EDT 2022
% Result : Unsatisfiable 5.44s 5.65s
% Output : Refutation 5.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : FLD034-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n003.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 10:05:38 EDT 2022
% 0.13/0.33 % CPUTime :
% 5.44/5.65 GeoParameters:
% 5.44/5.65
% 5.44/5.65 tptp_input = 1
% 5.44/5.65 tptp_output = 0
% 5.44/5.65 nonempty = 1
% 5.44/5.65 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 5.44/5.65
% 5.44/5.65
% 5.44/5.65 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65
% 5.44/5.65 RuleSystem INPUT:
% 5.44/5.65
% 5.44/5.65 Initial Rules:
% 5.44/5.65 #0: input, references = 8, size of lhs = 7:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1: input, references = 17, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #2: input, references = 15, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #3: input, references = 8, size of lhs = 5:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #4: input, references = 5, size of lhs = 8:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #5: input, references = 15, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #6: input, references = 3, size of lhs = 5:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #7: input, references = 6, size of lhs = 6:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #8: input, references = 4, size of lhs = 10:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #9: input, references = 3, size of lhs = 5:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #10: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #11: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #12: input, references = 3, size of lhs = 5:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #13: input, references = 3, size of lhs = 2:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #14: input, references = 3, size of lhs = 4:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #15: input, references = 13, size of lhs = 4:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #16: input, references = 18, size of lhs = 4:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #17: input, references = 14, size of lhs = 4:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #18: input, references = 20, size of lhs = 6:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #19: input, references = 7, size of lhs = 5:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #20: input, references = 3, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #21: input, references = 46, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #22: input, references = 41, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #23: input, references = 13, size of lhs = 6:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #24: input, references = 4, size of lhs = 6:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #25: input, references = 55, size of lhs = 4:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #26: input, references = 8, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #27: input, references = 4, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #28: input, references = 3, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3) | defined-{T}(V3)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #29: input, references = 4, size of lhs = 4:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3) | equalish-{T}(V3,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #30: input, references = 5, size of lhs = 6:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_m-{F}(V3), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #31: input, references = 22, size of lhs = 2:
% 5.44/5.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #32: input, references = 4, size of lhs = 0:
% 5.44/5.65 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #33: input, references = 4, size of lhs = 1:
% 5.44/5.65 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #34: input, references = 15, size of lhs = 2:
% 5.44/5.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #35: input, references = 4, size of lhs = 0:
% 5.44/5.65 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #36: input, references = 3, size of lhs = 1:
% 5.44/5.65 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #37: input, references = 4, size of lhs = 0:
% 5.44/5.65 FALSE | EXISTS V0: P_a-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #38: input, references = 4, size of lhs = 0:
% 5.44/5.65 FALSE | EXISTS V0: P_m-{T}(V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 number of initial rules = 39
% 5.44/5.65
% 5.44/5.65 Simplifiers:
% 5.44/5.65 #39: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #40: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #41: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #42: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #43: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #44: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #45: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #46: unsound, references = 3, size of lhs = 3:
% 5.44/5.65 P_m-{F}(V0), P_m-{F}(V1), V0 == V1 | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 number of simplifiers = 8
% 5.44/5.65
% 5.44/5.65 Learnt:
% 5.44/5.65 #64: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #56 ), references = 1, size of lhs = 5:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V0,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #72: mergings( V3 == V4, V0 == V5; #69 ), references = 1, size of lhs = 5:
% 5.44/5.65 P_m-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #113: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V0 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #96 ), references = 3, size of lhs = 8:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), P_additive_identity-{F}(V3), less_or_equal-{F}(V1,V3), less_or_equal-{F}(V3,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #133: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21; #114 ), references = 1, size of lhs = 8:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V0), P_multiply-{F}(V2,V1,V3), equalish-{F}(V3,V1) | less_or_equal-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #161: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V12 == V14, V0 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V16; #148 ), references = 2, size of lhs = 7:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), equalish-{F}(V2,V0), equalish-{F}(V1,V3), P_additive_identity-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #198: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V4 == V6, V6 == V8, V8 == V10, V10 == V11; #188 ), references = 5, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiply-{F}(V1,V0,V3), equalish-{F}(V3,V0), equalish-{F}(V2,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #203: mergings( V3 == V4, V0 == V1; #200 ), references = 5, size of lhs = 6:
% 5.44/5.65 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
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #245: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V9; #238 ), references = 1, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V4,V5), P_add-{F}(V5,V3,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #251: mergings( V3 == V5, V5 == V7, V7 == V11, V6 == V8, V8 == V9; #239 ), references = 1, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V5), P_multiply-{F}(V4,V3,V6), equalish-{F}(V6,V3), equalish-{F}(V5,V7), P_add-{F}(V7,V4,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #259: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V1; #252 ), references = 5, size of lhs = 6:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #285: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V14; #274 ), references = 1, size of lhs = 12:
% 5.44/5.65 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)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #319: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V3; #306 ), references = 4, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), equalish-{F}(V4,V2), equalish-{F}(V0,V5), P_add-{F}(V5,V1,V6), equalish-{F}(V6,V3), P_add-{F}(V2,V1,V7), less_or_equal-{F}(V7,V0) | less_or_equal-{T}(V2,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #365: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #347 ), references = 4, size of lhs = 8:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V0,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V3,V1), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #381: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V1; #348 ), references = 3, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V1), equalish-{F}(V0,V2), less_or_equal-{F}(V2,V1), less_or_equal-{F}(V3,V1), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #397: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #349 ), references = 3, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V2), P_multiply-{F}(V1,V0,V3), equalish-{F}(V3,V0), equalish-{F}(V1,V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V5,V2), P_add-{F}(V5,V1,V6), equalish-{F}(V6,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #429: mergings( V3 == V4, V0 == V1; #426 ), references = 1, size of lhs = 14:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V4,V4), P_add-{F}(V4,V1,V5), less_or_equal-{F}(V5,V0), P_add-{F}(V4,V4,V6), equalish-{F}(V6,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #433: mergings( V3 == V4, V0 == V1, V1 == V9; #424 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V4,V4), P_add-{F}(V4,V1,V5), less_or_equal-{F}(V5,V0), P_add-{F}(V4,V4,V6), equalish-{F}(V6,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #437: mergings( V3 == V4, V0 == V1, V1 == V9; #425 ), references = 1, size of lhs = 14:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), equalish-{F}(V0,V0), defined-{F}(V1), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), equalish-{F}(V4,V4), P_add-{F}(V4,V1,V5), less_or_equal-{F}(V5,V0), P_add-{F}(V4,V4,V6), equalish-{F}(V6,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #450: mergings( V0 == V4, V4 == V6, V6 == V2, V1 == V5, V5 == V7, V7 == V12; #441 ), references = 1, size of lhs = 15:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V1,V1), equalish-{F}(V0,V2), defined-{F}(V3), equalish-{F}(V1,V4), P_add-{F}(V4,V3,V5), equalish-{F}(V5,V6), defined-{F}(V6), P_multiplicative_identity-{F}(V6), equalish-{F}(V6,V6), P_add-{F}(V6,V3,V2), P_add-{F}(V6,V6,V7), equalish-{F}(V7,V1) | less_or_equal-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #458: mergings( V0 == V4, V4 == V6, V6 == V2, V1 == V5, V5 == V7, V7 == V10, V10 == V13; #442 ), references = 1, size of lhs = 14:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V0,V2), defined-{F}(V3), equalish-{F}(V1,V4), P_add-{F}(V4,V3,V5), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V6), P_multiplicative_identity-{F}(V6), equalish-{F}(V6,V6), P_add-{F}(V6,V6,V7), equalish-{F}(V7,V1) | less_or_equal-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #466: mergings( V0 == V4, V4 == V6, V6 == V2, V1 == V5, V5 == V7, V7 == V10, V10 == V13; #443 ), references = 1, size of lhs = 15:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), equalish-{F}(V1,V1), equalish-{F}(V0,V2), defined-{F}(V3), equalish-{F}(V1,V4), P_add-{F}(V4,V3,V5), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V2), defined-{F}(V6), P_multiplicative_identity-{F}(V6), equalish-{F}(V6,V6), P_add-{F}(V6,V6,V7), equalish-{F}(V7,V1) | less_or_equal-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #515: mergings( V3 == V4, V4 == V10, V10 == V12, V12 == V14, V14 == V18, V5 == V11, V11 == V13, V13 == V15, V15 == V16; #505 ), references = 1, size of lhs = 16:
% 5.44/5.65 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}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), equalish-{F}(V5,V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V8,V8), P_multiply-{F}(V7,V6,V9), equalish-{F}(V9,V6) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #528: mergings( V0 == V2, V2 == V4, V4 == V5, V5 == V13, V13 == V15, V15 == V17, V1 == V6, V6 == V14, V14 == V16, V16 == V18, V18 == V3; #516 ), references = 3, size of lhs = 16:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), defined-{F}(V8), equalish-{F}(V6,V8), P_multiply-{F}(V8,V7,V9), equalish-{F}(V9,V7) | less_or_equal-{T}(V7,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #557: mergings( V3 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10; #548 ), references = 1, size of lhs = 7:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #628: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #608 ), references = 1, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V2), equalish-{F}(V0,V4), less_or_equal-{F}(V4,V2), equalish-{F}(V1,V5), less_or_equal-{F}(V5,V2), less_or_equal-{F}(V6,V2), P_add-{F}(V6,V1,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #646: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #609 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V2,V2), P_add-{F}(V3,V0,V2), less_or_equal-{F}(V3,V2), equalish-{F}(V0,V4), less_or_equal-{F}(V4,V2), equalish-{F}(V1,V5), less_or_equal-{F}(V5,V2), less_or_equal-{F}(V6,V2), P_add-{F}(V6,V1,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #664: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19; #610 ), references = 1, size of lhs = 16:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_additive_identity-{F}(V3), equalish-{F}(V3,V3), P_add-{F}(V4,V0,V3), less_or_equal-{F}(V4,V3), equalish-{F}(V0,V5), less_or_equal-{F}(V5,V3), P_multiply-{F}(V2,V1,V6), equalish-{F}(V6,V1), equalish-{F}(V2,V7), less_or_equal-{F}(V7,V3), less_or_equal-{F}(V8,V3), P_add-{F}(V8,V2,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #714: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15; #700 ), references = 2, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V0,V2), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #730: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16; #716 ), references = 8, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #745: mergings( V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #731 ), references = 7, size of lhs = 9:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), less_or_equal-{F}(V0,V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V1,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V1), P_multiplicative_identity-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #777: mergings( V0 == V3, V3 == V4, V4 == V2, V2 == V6, V6 == V14, V14 == V16, V16 == V18, V18 == V23, V23 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V1 == V5, V5 == V7, V7 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V38; #748 ), references = 3, size of lhs = 18:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V2,V5), P_add-{F}(V5,V1,V6), defined-{F}(V7), equalish-{F}(V6,V7), defined-{F}(V8), defined-{F}(V9), equalish-{F}(V9,V8), P_additive_inverse-{F}(V9,V8), P_multiplicative_identity-{F}(V9), P_multiply-{F}(V7,V9,V10), equalish-{F}(V10,V9) | less_or_equal-{T}(V0,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #812: mergings( V3 == V4, V4 == V6, V6 == V15, V15 == V22, V22 == V24, V14 == V26, V0 == V5, V5 == V7, V7 == V1, V1 == V23, V23 == V25, V25 == V27; #798 ), references = 1, size of lhs = 23:
% 5.44/5.65 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), equalish-{F}(V5,V6), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_add-{F}(V9,V8,V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V10), P_add-{F}(V11,V9,V12), P_add-{F}(V12,V8,V13), equalish-{F}(V13,V6), defined-{F}(V14), equalish-{F}(V6,V14), P_additive_inverse-{F}(V6,V14) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #825: mergings( V3 == V4, V4 == V6, V6 == V15, V15 == V22, V22 == V24, V14 == V26, V0 == V5, V5 == V7, V7 == V1, V1 == V23, V23 == V25, V25 == V27; #799 ), references = 1, size of lhs = 23:
% 5.44/5.65 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), equalish-{F}(V5,V6), defined-{F}(V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_add-{F}(V9,V8,V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V10), P_add-{F}(V11,V9,V12), P_add-{F}(V12,V8,V13), equalish-{F}(V13,V6), defined-{F}(V14), equalish-{F}(V6,V14), P_additive_inverse-{F}(V6,V14) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #870: mergings( V3 == V7, V7 == V9, V9 == V12, V4 == V8, V8 == V10, V10 == V11; #861 ), references = 1, size of lhs = 10:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4), P_additive_identity-{F}(V5) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #886: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V23, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24; #862 ), references = 1, size of lhs = 16:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), less_or_equal-{F}(V4,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V1), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V3), P_multiplicative_identity-{F}(V8) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #902: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V23, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V24; #863 ), references = 1, size of lhs = 16:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), less_or_equal-{F}(V4,V5), P_add-{F}(V6,V0,V5), less_or_equal-{F}(V6,V1), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V3), P_multiplicative_identity-{F}(V8) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #951: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17; #934 ), references = 4, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), equalish-{F}(V3,V4), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V3,V6), equalish-{F}(V6,V5), P_add-{F}(V7,V1,V6), less_or_equal-{F}(V7,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #962: mergings( V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13; #935 ), references = 2, size of lhs = 10:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_multiplicative_identity-{F}(V2), less_or_equal-{F}(V3,V0), P_add-{F}(V3,V0,V4), equalish-{F}(V4,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #974: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16; #936 ), references = 2, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V2), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V5,V0), P_add-{F}(V5,V1,V6), equalish-{F}(V6,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #979: exists( #31, #975 ), references = 1, size of lhs = 17:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V5), P_additive_inverse-{F}(V5,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), less_or_equal-{F}(V3,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V5), P_multiplicative_identity-{F}(V8) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #980: exists( #31, #976 ), references = 1, size of lhs = 14:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_additive_inverse-{F}(V2,V2), defined-{F}(V3), less_or_equal-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V2), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), P_multiplicative_identity-{F}(V6) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #999: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18; #988 ), references = 1, size of lhs = 19:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), less_or_equal-{F}(V3,V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), less_or_equal-{F}(V3,V6), defined-{F}(V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V10), equalish-{F}(V5,V10), equalish-{F}(V8,V11), P_add-{F}(V11,V7,V5) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1017: mergings( V3 == V8, V8 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V27, V4 == V9, V9 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26; #1002 ), references = 1, size of lhs = 22:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V1,V3), P_multiply-{F}(V3,V2,V0), defined-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V4,V6), defined-{F}(V6), P_add-{F}(V0,V5,V7), P_add-{F}(V7,V4,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V6), less_or_equal-{F}(V0,V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), less_or_equal-{F}(V1,V11), less_or_equal-{F}(V11,V12), equalish-{F}(V8,V12), equalish-{F}(V1,V13), P_add-{F}(V13,V10,V8) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1035: mergings( V0 == V4, V4 == V8, V8 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V1 == V5, V5 == V9, V9 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V25; #1018 ), references = 3, size of lhs = 20:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V1), P_additive_identity-{F}(V1), less_or_equal-{F}(V1,V0), less_or_equal-{F}(V1,V2), less_or_equal-{F}(V1,V3), P_multiply-{F}(V3,V2,V0), defined-{F}(V4), defined-{F}(V5), P_add-{F}(V5,V4,V6), defined-{F}(V6), P_add-{F}(V0,V5,V7), P_add-{F}(V7,V4,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V6), equalish-{F}(V8,V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), equalish-{F}(V1,V11), P_add-{F}(V11,V10,V8) | less_or_equal-{T}(V9,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1063: mergings( V0 == V3, V3 == V2, V2 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26, V10 == V28, V1 == V4, V4 == V5, V5 == V7, V7 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29; #1040 ), references = 3, size of lhs = 18:
% 5.44/5.65 defined-{F}(V0), P_multiply-{F}(V0,V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V3), P_add-{F}(V0,V2,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V6), defined-{F}(V6), P_additive_inverse-{F}(V6,V3), equalish-{F}(V6,V3), equalish-{F}(V0,V7), defined-{F}(V8), P_add-{F}(V7,V8,V5), P_additive_inverse-{F}(V8,V3), P_multiplicative_identity-{F}(V8) | less_or_equal-{T}(V0,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1085: mergings( V0 == V3, V3 == V2, V2 == V6, V6 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V26, V10 == V28, V1 == V4, V4 == V5, V5 == V7, V7 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V27 == V29; #1041 ), references = 1, size of lhs = 18:
% 5.44/5.65 defined-{F}(V0), P_multiply-{F}(V0,V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), defined-{F}(V3), P_add-{F}(V0,V2,V4), P_add-{F}(V4,V1,V5), equalish-{F}(V5,V6), defined-{F}(V6), P_additive_inverse-{F}(V6,V3), equalish-{F}(V6,V3), equalish-{F}(V0,V7), defined-{F}(V8), P_add-{F}(V7,V8,V5), P_additive_inverse-{F}(V8,V3), P_multiplicative_identity-{F}(V8) | less_or_equal-{T}(V0,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1110: mergings( V0 == V5, V5 == V8, V4 == V7, V7 == V10, V1 == V9, V9 == V11; #1102 ), references = 1, size of lhs = 15:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V1,V1), P_add-{F}(V1,V0,V1), equalish-{F}(V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V1), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V0,V4,V3), P_add-{F}(V2,V4,V3), equalish-{F}(V4,V3), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1117: mergings( V0 == V5, V5 == V8, V4 == V7, V7 == V10, V1 == V9, V9 == V11; #1103 ), references = 1, size of lhs = 15:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V1,V1), P_add-{F}(V1,V0,V1), equalish-{F}(V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V1,V2,V1), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V0,V4,V3), P_add-{F}(V2,V4,V3), equalish-{F}(V4,V3), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1150: mergings( V3 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V4 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1139 ), references = 2, size of lhs = 19:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V0,V4), less_or_equal-{F}(V4,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_multiplicative_identity-{F}(V8), P_additive_identity-{F}(V9), less_or_equal-{F}(V9,V6), equalish-{F}(V9,V10), P_add-{F}(V10,V8,V11), equalish-{F}(V6,V11) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1174: mergings( V0 == V2, V2 == V4, V4 == V10, V10 == V12, V12 == V20, V20 == V22, V22 == V24, V24 == V26, V1 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V13, V13 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V28; #1155 ), references = 3, size of lhs = 22:
% 5.44/5.65 defined-{F}(V0), P_additive_identity-{F}(V0), less_or_equal-{F}(V0,V1), equalish-{F}(V0,V2), less_or_equal-{F}(V2,V0), defined-{F}(V3), P_multiply-{F}(V1,V3,V2), defined-{F}(V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), defined-{F}(V6), P_additive_inverse-{F}(V3,V6), defined-{F}(V7), P_multiply-{F}(V7,V4,V2), P_add-{F}(V7,V5,V8), P_multiply-{F}(V8,V4,V9), P_multiply-{F}(V3,V3,V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), equalish-{F}(V0,V11), P_add-{F}(V11,V10,V12), equalish-{F}(V9,V12) | less_or_equal-{T}(V3,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1196: mergings( V3 == V7, V7 == V8, V8 == V17, V11 == V19, V9 == V14, V14 == V18, V18 == V20; #1187 ), references = 1, size of lhs = 25:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V2), P_additive_identity-{F}(V2), P_multiply-{F}(V1,V0,V3), less_or_equal-{F}(V2,V3), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V3,V4,V5), equalish-{F}(V2,V6), defined-{F}(V7), P_multiply-{F}(V4,V7,V8), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), less_or_equal-{F}(V8,V7), P_multiply-{F}(V0,V7,V9), P_multiply-{F}(V1,V9,V2), P_multiply-{F}(V5,V7,V10), P_multiply-{F}(V7,V7,V10), equalish-{F}(V10,V11), defined-{F}(V12), P_add-{F}(V6,V12,V11), P_additive_inverse-{F}(V12,V8), P_multiplicative_identity-{F}(V12) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1204: mergings( V3 == V7, V7 == V8, V8 == V17, V11 == V19, V9 == V14, V14 == V18, V18 == V20; #1188 ), references = 1, size of lhs = 25:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), less_or_equal-{F}(V2,V2), P_additive_identity-{F}(V2), P_multiply-{F}(V1,V0,V3), less_or_equal-{F}(V2,V3), defined-{F}(V3), defined-{F}(V4), P_add-{F}(V3,V4,V5), equalish-{F}(V2,V6), defined-{F}(V7), P_multiply-{F}(V4,V7,V8), P_additive_inverse-{F}(V7,V8), defined-{F}(V8), less_or_equal-{F}(V8,V7), P_multiply-{F}(V0,V7,V9), P_multiply-{F}(V1,V9,V2), P_multiply-{F}(V5,V7,V10), P_multiply-{F}(V7,V7,V10), equalish-{F}(V10,V11), defined-{F}(V12), P_add-{F}(V6,V12,V11), P_additive_inverse-{F}(V12,V8), P_multiplicative_identity-{F}(V12) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1251: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V4 == V6, V6 == V12, V12 == V14, V14 == V15; #1239 ), references = 1, size of lhs = 10:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), equalish-{F}(V2,V6), P_add-{F}(V6,V5,V4) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1261: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V4 == V6, V6 == V12, V12 == V14, V14 == V15; #1240 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), equalish-{F}(V7,V5), equalish-{F}(V2,V8), P_add-{F}(V8,V6,V4) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1275: mergings( V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V17, V17 == V19, V19 == V21, V8 == V10, V10 == V12, V12 == V18, V18 == V20, V20 == V22, V22 == V23; #1241 ), references = 1, size of lhs = 17:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V4,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V6,V6), P_additive_identity-{F}(V6), equalish-{F}(V2,V7), P_add-{F}(V7,V3,V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), equalish-{F}(V9,V5), less_or_equal-{F}(V10,V6), P_add-{F}(V10,V9,V8) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1323: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V17, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16; #1309 ), references = 1, size of lhs = 14:
% 5.44/5.65 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V3), less_or_equal-{F}(V3,V0), less_or_equal-{F}(V3,V4), equalish-{F}(V1,V4), equalish-{F}(V3,V5), P_add-{F}(V5,V2,V6), equalish-{F}(V1,V7), equalish-{F}(V7,V6) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1339: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #1324 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), equalish-{F}(V2,V1), defined-{F}(V3), P_multiplicative_identity-{F}(V3), equalish-{F}(V0,V4), P_add-{F}(V4,V3,V5), equalish-{F}(V2,V6), equalish-{F}(V6,V5) | less_or_equal-{T}(V1,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1379: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V24 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V1, V1 == V27, V27 == V29; #1352 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V1), defined-{F}(V2), equalish-{F}(V1,V2), defined-{F}(V3), equalish-{F}(V3,V2), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1405: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V24 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V1, V1 == V27, V27 == V29; #1353 ), references = 1, size of lhs = 13:
% 5.44/5.65 defined-{F}(V0), less_or_equal-{F}(V0,V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V1), defined-{F}(V2), equalish-{F}(V1,V2), defined-{F}(V3), equalish-{F}(V3,V2), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1435: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V2, V2 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V24 == V29, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30; #1406 ), references = 1, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V1), defined-{F}(V2), equalish-{F}(V1,V2), defined-{F}(V3), equalish-{F}(V3,V2), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1463: mergings( V0 == V3, V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V2, V2 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V27, V24 == V29, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V28, V28 == V30; #1407 ), references = 1, size of lhs = 12:
% 5.44/5.65 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V1), defined-{F}(V2), equalish-{F}(V1,V2), defined-{F}(V3), equalish-{F}(V3,V2), P_additive_inverse-{F}(V3,V2), P_multiplicative_identity-{F}(V3) | less_or_equal-{T}(V0,V0)
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1505: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #1494 ), references = 1, size of lhs = 8:
% 5.44/5.65 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
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1527: mergings( V3 == V11, V0 == V4, V4 == V10; #1523 ), references = 1, size of lhs = 18:
% 5.44/5.65 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V0,V5), less_or_equal-{F}(V5,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V2), less_or_equal-{F}(V5,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V0), less_or_equal-{F}(V7,V4), equalish-{F}(V7,V8), P_add-{F}(V8,V4,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1540: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1535 ), references = 2, size of lhs = 8:
% 5.44/5.65 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_m-{F}(V3), equalish-{F}(V3,V4), P_multiply-{F}(V4,V0,V5), equalish-{F}(V5,V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1547: mergings( V3 == V4, V0 == V5; #1544 ), references = 1, size of lhs = 6:
% 5.44/5.65 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_m-{F}(V3), equalish-{F}(V3,V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1554: mergings( V1 == V3, V3 == V6, V4 == V7, V2 == V5; #1549 ), references = 2, size of lhs = 4:
% 5.44/5.65 defined-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1559: mergings( V1 == V3, V2 == V4; #1556 ), references = 1, size of lhs = 2:
% 5.44/5.65 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1562: mergings( V1 == V2; #1560 ), references = 1, size of lhs = 1:
% 5.44/5.65 P_additive_identity-{F}(V0) | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 #1564: exists( #32, #1560 ), references = 1, size of lhs = 0:
% 5.44/5.65 FALSE | FALSE
% 5.44/5.65 (used 0 times, uses = {})
% 5.44/5.65
% 5.44/5.65 number of learnt formulas = 69
% 5.44/5.65
% 5.44/5.65
% 5.44/5.65 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.44/5.65
% 5.44/5.65 randbase = 1
%------------------------------------------------------------------------------