TSTP Solution File: FLD013-1 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD013-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n007.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 06:01:03 EDT 2022
% Result : Unsatisfiable 3.44s 3.63s
% Output : Refutation 3.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD013-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n007.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 09:45:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 3.44/3.63 GeoParameters:
% 3.44/3.63
% 3.44/3.63 tptp_input = 1
% 3.44/3.63 tptp_output = 0
% 3.44/3.63 nonempty = 1
% 3.44/3.63 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.63 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.44/3.63
% 3.44/3.63
% 3.44/3.63 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.63 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.63
% 3.44/3.63 RuleSystem INPUT:
% 3.44/3.63
% 3.44/3.63 Initial Rules:
% 3.44/3.63 #0: input, references = 7, size of lhs = 7:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1: input, references = 11, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #2: input, references = 14, size of lhs = 4:
% 3.44/3.63 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #3: input, references = 16, size of lhs = 5:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #4: input, references = 7, size of lhs = 8:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #5: input, references = 12, size of lhs = 4:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #6: input, references = 3, size of lhs = 5:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #7: input, references = 10, size of lhs = 6:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #8: input, references = 4, size of lhs = 10:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #9: input, references = 3, size of lhs = 5:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #10: input, references = 3, size of lhs = 2:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #11: input, references = 3, size of lhs = 4:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #12: input, references = 3, size of lhs = 5:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #13: input, references = 3, size of lhs = 2:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #14: input, references = 4, size of lhs = 4:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #15: input, references = 3, size of lhs = 4:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #16: input, references = 3, size of lhs = 4:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #17: input, references = 3, size of lhs = 4:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #18: input, references = 3, size of lhs = 6:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #19: input, references = 3, size of lhs = 5:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #20: input, references = 3, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #21: input, references = 36, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #22: input, references = 45, size of lhs = 4:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #23: input, references = 13, size of lhs = 6:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #24: input, references = 5, size of lhs = 6:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #25: input, references = 3, size of lhs = 4:
% 3.44/3.63 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)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #26: input, references = 11, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #27: input, references = 3, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #28: input, references = 4, size of lhs = 4:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #29: input, references = 5, size of lhs = 5:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | defined-{T}(V4)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #30: input, references = 3, size of lhs = 6:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | defined-{T}(V5)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #31: input, references = 5, size of lhs = 6:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | equalish-{T}(V2,V3)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #32: input, references = 5, size of lhs = 6:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | equalish-{T}(V4,V5)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #33: input, references = 5, size of lhs = 9:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_add-{F}(V2,V4,V6), P_add-{F}(V5,V3,V7), equalish-{F}(V6,V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #34: input, references = 33, size of lhs = 2:
% 3.44/3.63 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #35: input, references = 4, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #36: input, references = 3, size of lhs = 1:
% 3.44/3.63 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #37: input, references = 10, size of lhs = 2:
% 3.44/3.63 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #38: input, references = 4, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #39: input, references = 3, size of lhs = 1:
% 3.44/3.63 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #40: input, references = 4, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #41: input, references = 4, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_b-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #42: input, references = 6, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_c-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #43: input, references = 6, size of lhs = 0:
% 3.44/3.63 FALSE | EXISTS V0: P_d-{T}(V0)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 number of initial rules = 44
% 3.44/3.63
% 3.44/3.63 Simplifiers:
% 3.44/3.63 #44: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #45: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #46: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #47: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #48: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #49: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #50: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #51: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #52: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #53: unsound, references = 3, size of lhs = 3:
% 3.44/3.63 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 number of simplifiers = 10
% 3.44/3.63
% 3.44/3.63 Learnt:
% 3.44/3.63 #67: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #61 ), references = 1, size of lhs = 6:
% 3.44/3.63 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
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #91: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14; #80 ), references = 3, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V4,V1,V3), equalish-{F}(V4,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #121: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #108 ), references = 8, size of lhs = 8:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V5,V1,V4), equalish-{F}(V5,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #145: mergings( V0 == V3, V3 == V5, V5 == V9, V4 == V6, V6 == V10; #139 ), references = 5, size of lhs = 9:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V5,V3), P_add-{F}(V5,V0,V6), P_multiply-{F}(V6,V1,V4) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #174: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V14; #164 ), references = 2, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), equalish-{F}(V1,V5), P_additive_identity-{F}(V5), P_multiply-{F}(V6,V4,V0), equalish-{F}(V6,V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #183: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V14; #165 ), references = 1, size of lhs = 12:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), equalish-{F}(V1,V5), P_additive_identity-{F}(V5), equalish-{F}(V6,V5), P_add-{F}(V6,V3,V7), P_multiply-{F}(V7,V4,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #193: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #184 ), references = 2, size of lhs = 8:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), equalish-{F}(V3,V2), P_add-{F}(V3,V0,V4), P_multiply-{F}(V4,V1,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #220: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #212 ), references = 3, size of lhs = 6:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V0,V2), equalish-{F}(V3,V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #233: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V4, V4 == V7, V7 == V9, V9 == V11; #223 ), references = 3, size of lhs = 6:
% 3.44/3.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #250: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V9; #242 ), references = 1, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #269: mergings( V3 == V7, V7 == V10, V10 == V12, V4 == V11, V11 == V13, V13 == V14; #262 ), references = 3, size of lhs = 10:
% 3.44/3.63 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_additive_identity-{F}(V6), equalish-{F}(V5,V7), P_multiplicative_identity-{F}(V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #306: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V15, V0 == V10, V10 == V12, V12 == V16; #297 ), references = 1, size of lhs = 13:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V0,V6,V4), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V7,V8) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #314: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V0 == V10, V10 == V12, V12 == V15; #298 ), references = 1, size of lhs = 12:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V0,V6,V4), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #374: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V22, V0 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23; #358 ), references = 2, size of lhs = 17:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V6), P_add-{F}(V0,V6,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V5), P_additive_identity-{F}(V9), P_multiply-{F}(V10,V8,V4), equalish-{F}(V10,V7), P_add-{F}(V5,V6,V11), equalish-{F}(V11,V9) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #388: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V22, V0 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23; #359 ), references = 2, size of lhs = 18:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V6), P_add-{F}(V0,V6,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V5), P_additive_identity-{F}(V9), equalish-{F}(V10,V9), P_add-{F}(V10,V7,V11), P_multiply-{F}(V11,V8,V4), P_add-{F}(V5,V6,V12), equalish-{F}(V12,V9) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #396: exists( #34, #392 ), references = 1, size of lhs = 17:
% 3.44/3.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V0), P_additive_identity-{F}(V9), P_multiply-{F}(V10,V8,V6), equalish-{F}(V10,V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #397: exists( #34, #393 ), references = 1, size of lhs = 18:
% 3.44/3.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V0), P_additive_identity-{F}(V9), equalish-{F}(V10,V9), P_add-{F}(V10,V7,V11), P_multiply-{F}(V11,V8,V6) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #412: mergings( V3 == V5, V5 == V10, V10 == V13, V4 == V6, V6 == V12, V12 == V14; #405 ), references = 1, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #455: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #442 ), references = 1, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), equalish-{F}(V3,V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #466: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #443 ), references = 1, size of lhs = 8:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), equalish-{F}(V3,V4), P_add-{F}(V0,V1,V4) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #477: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V16, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17; #444 ), references = 1, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V2,V3), defined-{F}(V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V4,V3,V5), P_additive_identity-{F}(V6), equalish-{F}(V5,V6) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #494: mergings( V3 == V5; #492 ), references = 1, size of lhs = 10:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_add-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_b-{F}(V5), P_d-{F}(V6), P_add-{F}(V6,V5,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #497: mergings( V3 == V4; #495 ), references = 1, size of lhs = 8:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #516: mergings( V0 == V9, V1 == V10; #511 ), references = 7, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), P_add-{F}(V1,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V2,V6), P_additive_identity-{F}(V7), equalish-{F}(V6,V8), P_multiplicative_identity-{F}(V8) | equalish-{T}(V0,V7)
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #531: mergings( V3 == V11, V4 == V12; #526 ), references = 1, size of lhs = 16:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), defined-{F}(V3), P_add-{F}(V3,V0,V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V2,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V2,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V1), P_additive_identity-{F}(V9), P_multiply-{F}(V10,V8,V4), equalish-{F}(V10,V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #534: mergings( V3 == V11, V4 == V12; #527 ), references = 1, size of lhs = 17:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), defined-{F}(V3), P_add-{F}(V3,V0,V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V2,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V2,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V1), P_additive_identity-{F}(V9), equalish-{F}(V10,V9), P_add-{F}(V10,V7,V11), P_multiply-{F}(V11,V8,V4) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #537: mergings( V3 == V10, V4 == V7; #528 ), references = 1, size of lhs = 15:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), defined-{F}(V5), P_multiplicative_inverse-{F}(V5,V6), P_add-{F}(V6,V1,V4), P_add-{F}(V3,V6,V0), P_additive_identity-{F}(V7), equalish-{F}(V8,V7), P_add-{F}(V8,V2,V9), P_multiply-{F}(V9,V5,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #567: mergings( V3 == V5, V5 == V14, V6 == V11, V11 == V15; #560 ), references = 1, size of lhs = 17:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), defined-{F}(V3), P_add-{F}(V3,V0,V4), P_add-{F}(V2,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V2,V0), equalish-{F}(V4,V7), P_multiplicative_identity-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V1), P_additive_identity-{F}(V10), P_multiply-{F}(V11,V9,V7), equalish-{F}(V11,V8) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #572: mergings( V3 == V5, V5 == V14, V6 == V11, V11 == V15; #561 ), references = 1, size of lhs = 18:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), defined-{F}(V3), P_add-{F}(V3,V0,V4), P_add-{F}(V2,V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V2,V0), equalish-{F}(V4,V7), P_multiplicative_identity-{F}(V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V1), P_additive_identity-{F}(V10), equalish-{F}(V11,V10), P_add-{F}(V11,V8,V12), P_multiply-{F}(V12,V9,V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #577: mergings( V3 == V5, V5 == V16, V6 == V9, V9 == V10; #562 ), references = 1, size of lhs = 19:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V4), equalish-{F}(V2,V5), defined-{F}(V5), P_multiplicative_identity-{F}(V5), defined-{F}(V6), P_multiplicative_inverse-{F}(V6,V7), P_add-{F}(V7,V1,V4), P_add-{F}(V3,V7,V0), P_multiply-{F}(V6,V5,V8), defined-{F}(V9), defined-{F}(V10), P_multiply-{F}(V10,V9,V8), P_additive_identity-{F}(V11), P_multiply-{F}(V12,V10,V5), equalish-{F}(V12,V9) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #589: mergings( V0 == V3, V3 == V4, V4 == V12, V1 == V5, V5 == V13; #581 ), references = 1, size of lhs = 15:
% 3.44/3.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), P_add-{F}(V3,V0,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V1), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V2), P_multiply-{F}(V8,V7,V1), equalish-{F}(V8,V6) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #595: mergings( V0 == V3, V3 == V4, V4 == V12, V1 == V5, V5 == V13; #582 ), references = 1, size of lhs = 16:
% 3.44/3.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), P_add-{F}(V3,V0,V4), defined-{F}(V5), P_additive_inverse-{F}(V5,V4), P_add-{F}(V5,V3,V1), defined-{F}(V6), defined-{F}(V7), P_multiply-{F}(V7,V6,V2), equalish-{F}(V8,V0), P_add-{F}(V8,V6,V9), P_multiply-{F}(V9,V7,V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #665: mergings( V3 == V9, V9 == V10, V10 == V12, V4 == V8, V8 == V11, V11 == V13; #656 ), references = 1, size of lhs = 10:
% 3.44/3.63 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
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #673: mergings( V3 == V4, V4 == V10, V10 == V12, V12 == V19, V5 == V9, V9 == V11, V11 == V13; #657 ), references = 1, size of lhs = 17:
% 3.44/3.63 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), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V6,V8), defined-{F}(V9), P_additive_inverse-{F}(V9,V8), P_add-{F}(V9,V7,V10), P_add-{F}(V10,V6,V11), P_additive_identity-{F}(V11) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #681: mergings( V3 == V4, V4 == V10, V10 == V12, V12 == V15, V5 == V11, V11 == V13, V13 == V16; #658 ), references = 1, size of lhs = 14:
% 3.44/3.63 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), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V7), P_multiplicative_identity-{F}(V8), P_multiply-{F}(V7,V6,V8) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #689: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V12; #684 ), references = 6, size of lhs = 11:
% 3.44/3.63 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), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #700: mergings( V3 == V11, V4 == V10; #697 ), references = 1, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V4), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #724: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #717 ), references = 3, size of lhs = 11:
% 3.44/3.63 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_add-{F}(V3,V4,V6), equalish-{F}(V5,V7), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V6) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #731: mergings( V3 == V5, V5 == V8, V6 == V9; #727 ), references = 1, size of lhs = 12:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_add-{F}(V0,V1,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_d-{F}(V6), equalish-{F}(V6,V7), P_add-{F}(V7,V3,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #736: mergings( V3 == V4, V4 == V6, V5 == V7; #732 ), references = 1, size of lhs = 9:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), equalish-{F}(V4,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #749: mergings( V1 == V5, V5 == V7, V7 == V10, V10 == V12, V2 == V6, V6 == V11, V11 == V13, V3 == V9, V4 == V9; #739 ), references = 2, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #756: mergings( V1 == V6, V2 == V7, V3 == V5, V4 == V5; #751 ), references = 1, size of lhs = 5:
% 3.44/3.63 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #764: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V7; #759 ), references = 1, size of lhs = 5:
% 3.44/3.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #770: mergings( V1 == V4, V4 == V5, V2 == V3, V3 == V6; #765 ), references = 1, size of lhs = 4:
% 3.44/3.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #783: mergings( V3 == V4, V4 == V7, V0 == V5; #779 ), references = 1, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V0), P_add-{F}(V1,V1,V2), P_additive_inverse-{F}(V0,V2), P_additive_identity-{F}(V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #798: mergings( V4 == V5, V0 == V7; #795 ), references = 1, size of lhs = 8:
% 3.44/3.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V0,V3), P_add-{F}(V2,V1,V3), equalish-{F}(V3,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #809: mergings( V0 == V3, V3 == V5, V5 == V13, V1 == V4, V4 == V6; #803 ), references = 1, size of lhs = 12:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_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}(V0,V1,V5), P_add-{F}(V6,V0,V5), equalish-{F}(V6,V7), P_additive_identity-{F}(V7) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #850: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V18, V1 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12; #838 ), references = 1, size of lhs = 13:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_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}(V0,V1,V5), P_additive_identity-{F}(V6), equalish-{F}(V7,V6), P_add-{F}(V7,V0,V8), equalish-{F}(V8,V5) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #865: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15; #852 ), references = 1, size of lhs = 9:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_add-{F}(V1,V1,V3), P_additive_inverse-{F}(V0,V3), P_additive_identity-{F}(V4), equalish-{F}(V5,V4), P_add-{F}(V5,V0,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #879: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V1 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14; #866 ), references = 1, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), P_add-{F}(V1,V1,V3), P_additive_inverse-{F}(V0,V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #897: mergings( V3 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V9; #891 ), references = 1, size of lhs = 9:
% 3.44/3.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_additive_identity-{F}(V4), equalish-{F}(V5,V4), P_add-{F}(V5,V3,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #904: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V1; #898 ), references = 1, size of lhs = 6:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #942: mergings( V3 == V5, V5 == V9, V9 == V12, V4 == V10, V10 == V13; #936 ), references = 1, size of lhs = 15:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), P_b-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_c-{F}(V9), P_add-{F}(V8,V9,V4), P_d-{F}(V10), equalish-{F}(V10,V11), P_add-{F}(V11,V5,V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #949: mergings( V3 == V5, V5 == V8, V8 == V10, V4 == V9, V9 == V11; #943 ), references = 1, size of lhs = 12:
% 3.44/3.63 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V2,V0,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_add-{F}(V6,V7,V3), P_d-{F}(V8), equalish-{F}(V8,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #956: mergings( V3 == V5, V5 == V6, V6 == V9, V4 == V7, V7 == V10; #950 ), references = 1, size of lhs = 10:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), equalish-{F}(V5,V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #978: mergings( V1 == V4, V4 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V20, V2 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V17, V17 == V21, V6 == V19, V7 == V18, V3 == V15; #961 ), references = 1, size of lhs = 7:
% 3.44/3.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1000: mergings( V1 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V22, V2 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V23, V3 == V9, V9 == V21, V4 == V10, V10 == V20; #980 ), references = 1, size of lhs = 5:
% 3.44/3.63 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1023: mergings( V1 == V4, V4 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V22, V2 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V23, V3 == V6, V6 == V11, V11 == V21; #1002 ), references = 1, size of lhs = 3:
% 3.44/3.63 P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1042: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V16 == V18, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17, V17 == V19; #1024 ), references = 1, size of lhs = 2:
% 3.44/3.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1053: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #1043 ), references = 1, size of lhs = 1:
% 3.44/3.63 P_additive_identity-{F}(V0) | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 #1055: exists( #35, #1043 ), references = 1, size of lhs = 0:
% 3.44/3.63 FALSE | FALSE
% 3.44/3.63 (used 0 times, uses = {})
% 3.44/3.63
% 3.44/3.63 number of learnt formulas = 61
% 3.44/3.63
% 3.44/3.63
% 3.44/3.63 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.44/3.63
% 3.44/3.63 randbase = 1
%------------------------------------------------------------------------------