TSTP Solution File: RNG017-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n019.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 06:14:54 EDT 2022
% Result : Unsatisfiable 212.48s 212.65s
% Output : Refutation 212.48s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : RNG017-6 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 07:51:07 EDT 2022
% 0.12/0.33 % CPUTime :
% 212.48/212.65 GeoParameters:
% 212.48/212.65
% 212.48/212.65 tptp_input = 1
% 212.48/212.65 tptp_output = 0
% 212.48/212.65 nonempty = 1
% 212.48/212.65 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 212.48/212.65 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 212.48/212.65
% 212.48/212.65
% 212.48/212.65 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 212.48/212.65 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 212.48/212.65
% 212.48/212.65 RuleSystem INPUT:
% 212.48/212.65
% 212.48/212.65 Initial Rules:
% 212.48/212.65 #0: input, references = 5, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #1: input, references = 4, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #2: input, references = 4, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #3: input, references = 4, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #4: input, references = 4, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #5: input, references = 4, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #6: input, references = 3, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #7: input, references = 6, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V1,V2,V6), P_multiply-{F}(V1,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #8: input, references = 7, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V1,V3,V6), P_multiply-{F}(V2,V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #9: input, references = 4, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #10: input, references = 7, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V2,V3,V4), P_add-{F}(V1,V4,V5), P_add-{F}(V1,V2,V6), P_add-{F}(V6,V3,V7), V5 == V7 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #11: input, references = 4, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V2,V5), P_multiply-{F}(V1,V5,V6), V4 == V6 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #12: input, references = 4, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V1,V5,V6), V4 == V6 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #13: input, references = 18, size of lhs = 9:
% 212.48/212.65 P_additive_identity-{F}(V0), P_associator-{F}(V1,V2,V3,V4), P_multiply-{F}(V1,V2,V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V2,V3,V7), P_multiply-{F}(V1,V7,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V6,V9,V10), V4 == V10 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #14: input, references = 6, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_commutator-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V4), P_multiply-{F}(V1,V2,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), V3 == V7 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #15: input, references = 11, size of lhs = 12:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V2,V5,V11), P_multiply-{F}(V1,V3,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V1,V4,V9), P_additive_inverse-{F}(V9,V10), P_add-{F}(V8,V10,V11) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #16: input, references = 14, size of lhs = 2:
% 212.48/212.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #17: input, references = 4, size of lhs = 0:
% 212.48/212.65 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #18: input, references = 29, size of lhs = 2:
% 212.48/212.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #19: input, references = 16, size of lhs = 1:
% 212.48/212.65 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #20: input, references = 18, size of lhs = 3:
% 212.48/212.65 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #21: input, references = 6, size of lhs = 2:
% 212.48/212.65 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #22: input, references = 4, size of lhs = 0:
% 212.48/212.65 FALSE | EXISTS V0: P_x-{T}(V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #23: input, references = 5, size of lhs = 0:
% 212.48/212.65 FALSE | EXISTS V0: P_y-{T}(V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #24: input, references = 6, size of lhs = 0:
% 212.48/212.65 FALSE | EXISTS V0: P_z-{T}(V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 number of initial rules = 25
% 212.48/212.65
% 212.48/212.65 Simplifiers:
% 212.48/212.65 #25: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #26: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #27: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #28: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #29: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #30: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #31: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #32: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #33: unsound, references = 3, size of lhs = 3:
% 212.48/212.65 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 number of simplifiers = 9
% 212.48/212.65
% 212.48/212.65 Learnt:
% 212.48/212.65 #36: exists( #16, #4 ), references = 12, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #37: exists( #16, #5 ), references = 9, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #39: exists( #21, #14 ), references = 1, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V4,V3,V5), P_add-{F}(V5,V2,V6) | P_commutator-{T}(V3,V4,V6)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #41: exists( #16, #1 ), references = 9, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #49: mergings( V2 == V0; #45 ), references = 1, size of lhs = 1:
% 212.48/212.65 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #55: exists( #16, #0 ), references = 31, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #56: exists( #16, #9 ), references = 12, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #57: exists( #16, #10 ), references = 6, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V4,V3,V5), P_add-{F}(V4,V1,V6) | P_add-{T}(V6,V2,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #61: exists( #18, #2 ), references = 7, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #62: exists( #18, #3 ), references = 7, size of lhs = 2:
% 212.48/212.65 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #63: exists( #18, #8 ), references = 5, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V1,V4,V5), P_multiply-{F}(V2,V4,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V3,V4,V7)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #70: mergings( V1 == V2, V2 == V3, V3 == V6; #66 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_y-{F}(V0), P_x-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V0), P_multiply-{F}(V0,V0,V1), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #74: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #80: mergings( V3 == V4, V4 == V5; #77 ), references = 2, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V0), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V1,V2,V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V5,V7,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #85: mergings( V1 == V2, V2 == V6; #82 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_x-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V0), P_y-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V3,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #91: mergings( V1 == V2, V2 == V3, V3 == V4; #87 ), references = 1, size of lhs = 4:
% 212.48/212.65 P_x-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V0), P_add-{F}(V0,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #94: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #96: exists( #18, #7 ), references = 7, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V2,V6), P_add-{F}(V5,V6,V7) | P_multiply-{T}(V4,V3,V7)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #98: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #103: mergings( V2 == V3; #101 ), references = 3, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_commutator-{F}(V2,V1,V3), P_multiply-{F}(V2,V1,V4) | P_additive_inverse-{T}(V4,V3)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #117: exists( #16, #7 ), references = 25, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V1,V6), P_multiply-{F}(V4,V2,V7) | P_add-{T}(V6,V7,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #118: exists( #16, #8 ), references = 5, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_multiply-{F}(V2,V4,V7) | P_add-{T}(V6,V7,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #128: mergings( V3 == V4, V4 == V5, V5 == V6; #124 ), references = 1, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3), P_add-{F}(V3,V4,V0), P_add-{F}(V0,V4,V5) | P_commutator-{T}(V2,V1,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #142: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #134 ), references = 1, size of lhs = 11:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V1), P_y-{F}(V2), P_multiply-{F}(V2,V1,V0), P_z-{F}(V3), P_add-{F}(V2,V3,V2), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V2,V2,V5), P_multiply-{F}(V1,V5,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #144: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #148: exists( #18, #11 ), references = 2, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V4,V1,V5) | P_multiply-{T}(V3,V2,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #149: exists( #18, #12 ), references = 1, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V1,V3,V5) | P_multiply-{T}(V1,V5,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #165: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #159 ), references = 11, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_associator-{F}(V7,V8,V6,V9), V9 == V4, P_multiply-{F}(V8,V6,V10), P_multiply-{F}(V7,V11,V12), P_add-{F}(V12,V13,V1), P_multiply-{F}(V7,V14,V15), P_multiply-{F}(V15,V14,V13), P_add-{F}(V16,V17,V14), P_multiply-{F}(V14,V16,V18), P_multiply-{F}(V14,V17,V19), P_add-{F}(V19,V11,V20), P_add-{F}(V18,V20,V10) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #172: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #166 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #182: mergings( V2 == V3, V3 == V4; #177 ), references = 12, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #193: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #187 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V1), P_y-{F}(V2), P_z-{F}(V3), P_add-{F}(V2,V3,V2), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V2,V2,V5), P_multiply-{F}(V1,V5,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #196: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #197: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #201: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #202: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #212: mergings( V3 == V4, V4 == V5; #208 ), references = 1, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V3,V4), P_add-{F}(V4,V4,V3), P_multiply-{F}(V4,V2,V5), P_add-{F}(V5,V5,V6) | P_multiply-{T}(V4,V1,V6)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #221: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #222: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #235: mergings( V3 == V4; #233 ), references = 2, size of lhs = 4:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V1,V3,V4), P_multiply-{F}(V4,V2,V5) | P_multiply-{T}(V3,V2,V5)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #255: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #250 ), references = 1, size of lhs = 12:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V3), P_multiply-{F}(V1,V4,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V1,V6,V0), P_add-{F}(V1,V1,V7), P_add-{F}(V7,V2,V1) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #263: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #257 ), references = 1, size of lhs = 12:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V3), P_multiply-{F}(V1,V4,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V1,V6,V0), P_add-{F}(V1,V2,V7), P_add-{F}(V1,V7,V1) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #272: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #265 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_y-{F}(V2), P_z-{F}(V3), P_add-{F}(V2,V3,V2), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V2,V2,V5), P_multiply-{F}(V1,V5,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #284: mergings( V3 == V4, V4 == V5; #281 ), references = 15, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V3,V6), P_multiply-{F}(V6,V4,V7), P_add-{F}(V7,V2,V8) | P_multiply-{T}(V5,V4,V8)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #308: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #302 ), references = 4, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V1,V4,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V9,V8,V6), P_add-{F}(V0,V10,V9), P_multiply-{F}(V11,V3,V10), P_add-{F}(V1,V11,V12), P_multiply-{F}(V12,V3,V0), P_add-{F}(V13,V10,V14), P_add-{F}(V15,V14,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #312: mergings( V3 == V4; #310 ), references = 3, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V1,V4,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V9,V8,V6), P_multiply-{F}(V10,V3,V0), P_add-{F}(V1,V11,V10), P_multiply-{F}(V11,V3,V12), P_add-{F}(V0,V12,V9), P_multiply-{F}(V13,V14,V12), P_add-{F}(V15,V14,V16), P_multiply-{F}(V13,V16,V17), P_add-{F}(V18,V17,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #318: mergings( V3 == V4, V4 == V5; #315 ), references = 2, size of lhs = 13:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V3), P_multiply-{F}(V1,V4,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V3,V0), P_add-{F}(V7,V3,V8), P_multiply-{F}(V2,V8,V9), P_add-{F}(V10,V9,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #327: mergings( V2 == V3, V3 == V4; #324 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_add-{F}(V2,V3,V2), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V5,V2,V0), P_add-{F}(V6,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #332: mergings( V2 == V3, V3 == V4; #329 ), references = 1, size of lhs = 9:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_add-{F}(V2,V3,V2), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V5,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #347: mergings( V3 == V4, V4 == V5; #344 ), references = 1, size of lhs = 8:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V7,V6,V5), P_commutator-{F}(V6,V7,V8), V8 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #351: mergings( V3 == V4, V4 == V5; #348 ), references = 1, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V7,V6,V5) | P_commutator-{T}(V6,V7,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #380: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #372 ), references = 1, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V6,V3,V7), P_add-{F}(V0,V7,V8), P_multiply-{F}(V2,V9,V7), P_add-{F}(V9,V4,V10), P_multiply-{F}(V2,V10,V0), P_multiply-{F}(V2,V11,V8), P_multiply-{F}(V2,V12,V8), P_add-{F}(V11,V12,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #385: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #373 ), references = 1, size of lhs = 20:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V6,V3,V0), P_add-{F}(V1,V7,V6), P_multiply-{F}(V7,V3,V8), P_add-{F}(V0,V8,V9), P_multiply-{F}(V2,V10,V9), P_multiply-{F}(V2,V11,V8), P_add-{F}(V10,V11,V5), P_multiply-{F}(V12,V4,V0), P_add-{F}(V1,V13,V12), P_multiply-{F}(V13,V4,V14), P_add-{F}(V0,V14,V8), P_multiply-{F}(V2,V15,V14), P_add-{F}(V15,V5,V16), P_multiply-{F}(V2,V16,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #390: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #374 ), references = 1, size of lhs = 24:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V5,V7), P_add-{F}(V8,V5,V4), P_multiply-{F}(V9,V3,V0), P_add-{F}(V1,V10,V9), P_multiply-{F}(V10,V3,V11), P_add-{F}(V0,V11,V12), P_multiply-{F}(V2,V13,V12), P_add-{F}(V13,V14,V5), P_multiply-{F}(V2,V14,V15), P_multiply-{F}(V16,V4,V0), P_add-{F}(V1,V17,V16), P_multiply-{F}(V17,V4,V18), P_add-{F}(V0,V18,V15), P_add-{F}(V7,V18,V11), P_multiply-{F}(V2,V19,V18), P_add-{F}(V19,V5,V20), P_multiply-{F}(V2,V20,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #402: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #394 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V0), P_add-{F}(V3,V3,V5), P_add-{F}(V3,V5,V6), P_multiply-{F}(V2,V6,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #408: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #395 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V3,V3,V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V4,V6), P_multiply-{F}(V2,V6,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #415: mergings( V10 == V12, V12 == V13, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #396 ), references = 1, size of lhs = 12:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V3,V3,V4), P_add-{F}(V5,V4,V3), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V3,V4,V7), P_multiply-{F}(V2,V7,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #426: mergings( V3 == V4; #422 ), references = 2, size of lhs = 13:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V1,V4,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V2,V10,V7), P_add-{F}(V10,V11,V5), P_multiply-{F}(V2,V11,V9) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #428: mergings( V3 == V4; #423 ), references = 2, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V8,V7), P_add-{F}(V9,V8,V5), P_multiply-{F}(V2,V9,V10), P_multiply-{F}(V11,V3,V0), P_add-{F}(V1,V12,V11), P_multiply-{F}(V12,V3,V13), P_add-{F}(V0,V13,V10), P_add-{F}(V14,V13,V15), P_add-{F}(V16,V15,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #430: mergings( V3 == V4; #424 ), references = 2, size of lhs = 19:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V1,V4,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V8,V7), P_add-{F}(V9,V8,V5), P_multiply-{F}(V2,V9,V10), P_multiply-{F}(V11,V3,V0), P_add-{F}(V1,V12,V11), P_multiply-{F}(V12,V3,V13), P_add-{F}(V0,V13,V10), P_multiply-{F}(V14,V15,V13), P_add-{F}(V16,V15,V17), P_multiply-{F}(V14,V17,V18), P_add-{F}(V19,V18,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #470: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #463 ), references = 1, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V6,V3,V7), P_add-{F}(V0,V7,V8), P_multiply-{F}(V2,V9,V8), P_add-{F}(V9,V10,V4), P_multiply-{F}(V2,V10,V8), P_multiply-{F}(V11,V12,V7), P_multiply-{F}(V11,V13,V0), P_add-{F}(V14,V12,V13) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #476: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V17 == V20; #464 ), references = 1, size of lhs = 20:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V6,V0,V0), P_multiply-{F}(V7,V3,V0), P_add-{F}(V1,V8,V7), P_multiply-{F}(V8,V3,V9), P_add-{F}(V0,V9,V10), P_multiply-{F}(V2,V11,V10), P_add-{F}(V11,V12,V5), P_multiply-{F}(V2,V12,V10), P_multiply-{F}(V13,V4,V9), P_add-{F}(V1,V13,V14), P_multiply-{F}(V14,V4,V0), P_multiply-{F}(V15,V16,V9), P_multiply-{F}(V15,V17,V0), P_add-{F}(V18,V16,V17) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #480: mergings( V3 == V4, V4 == V5, V5 == V6; #465 ), references = 2, size of lhs = 23:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_multiply-{F}(V6,V3,V0), P_add-{F}(V1,V7,V6), P_multiply-{F}(V7,V3,V8), P_add-{F}(V0,V8,V9), P_multiply-{F}(V2,V10,V9), P_add-{F}(V10,V11,V5), P_multiply-{F}(V2,V11,V12), P_multiply-{F}(V13,V4,V0), P_add-{F}(V1,V14,V13), P_multiply-{F}(V14,V4,V15), P_add-{F}(V0,V15,V12), P_multiply-{F}(V16,V17,V15), P_multiply-{F}(V16,V18,V0), P_add-{F}(V19,V17,V18), P_multiply-{F}(V20,V21,V8), P_multiply-{F}(V20,V22,V15), P_add-{F}(V23,V21,V22) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #491: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #484 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V0), P_add-{F}(V3,V3,V5), P_multiply-{F}(V2,V6,V0), P_add-{F}(V7,V3,V6) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #496: mergings( V10 == V11, V3 == V4, V4 == V5, V5 == V6; #485 ), references = 1, size of lhs = 11:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V4,V0,V0), P_add-{F}(V3,V3,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V3,V0), P_multiply-{F}(V2,V7,V0), P_add-{F}(V8,V3,V7) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #501: mergings( V9 == V10, V3 == V4, V4 == V5, V5 == V6; #486 ), references = 1, size of lhs = 11:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V3,V3,V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V3,V0), P_add-{F}(V6,V3,V3), P_multiply-{F}(V2,V7,V0), P_add-{F}(V8,V3,V7) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #509: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #502 ), references = 2, size of lhs = 9:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V0), P_multiply-{F}(V2,V5,V0), P_add-{F}(V6,V3,V5) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #514: mergings( V9 == V10, V2 == V3, V3 == V4, V4 == V5; #503 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V4,V0,V0), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V3,V0), P_multiply-{F}(V2,V6,V0), P_add-{F}(V7,V3,V6) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #519: mergings( V8 == V9, V2 == V3, V3 == V4, V4 == V5; #504 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V3), P_add-{F}(V1,V2,V4), P_multiply-{F}(V4,V3,V0), P_add-{F}(V5,V3,V3), P_multiply-{F}(V2,V6,V0), P_add-{F}(V7,V3,V6) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #539: mergings( V2 == V3; #535 ), references = 1, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V2), P_multiply-{F}(V0,V2,V0), P_add-{F}(V3,V2,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #549: mergings( V2 == V3; #545 ), references = 1, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V2), P_multiply-{F}(V0,V2,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #554: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #555: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #558: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #559: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #573: exists( #18, #571 ), references = 4, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V6,V4,V5), P_multiply-{F}(V2,V6,V7), P_add-{F}(V1,V2,V8), P_multiply-{F}(V8,V4,V0), P_multiply-{F}(V9,V3,V0), P_add-{F}(V1,V10,V9), P_multiply-{F}(V10,V3,V11), P_add-{F}(V0,V11,V7), P_multiply-{F}(V2,V12,V11), P_add-{F}(V13,V12,V4), P_multiply-{F}(V2,V14,V0), P_add-{F}(V15,V4,V14) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #582: mergings( V12 == V13, V3 == V4, V4 == V5, V5 == V6; #577 ), references = 2, size of lhs = 20:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V7,V3,V4), P_add-{F}(V8,V8,V3), P_add-{F}(V0,V9,V9), P_multiply-{F}(V2,V10,V0), P_add-{F}(V11,V4,V10), P_add-{F}(V2,V12,V13), P_multiply-{F}(V13,V3,V14), P_add-{F}(V14,V15,V9), P_add-{F}(V12,V12,V16), P_multiply-{F}(V16,V8,V17), P_add-{F}(V17,V15,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #587: mergings( V3 == V4; #585 ), references = 1, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V7,V3,V4), P_add-{F}(V8,V8,V3), P_multiply-{F}(V2,V9,V0), P_add-{F}(V10,V4,V9), P_multiply-{F}(V11,V3,V0), P_add-{F}(V2,V12,V11), P_add-{F}(V12,V12,V13), P_add-{F}(V13,V13,V14), P_multiply-{F}(V14,V8,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #599: mergings( V3 == V4, V4 == V5; #596 ), references = 1, size of lhs = 6:
% 212.48/212.65 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V3,V4), P_add-{F}(V4,V4,V3), P_multiply-{F}(V2,V4,V5), P_add-{F}(V5,V5,V6) | P_multiply-{T}(V1,V4,V6)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #602: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #603: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #605: exists( #16, #573 ), references = 3, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V7,V3,V0), P_add-{F}(V1,V8,V7), P_multiply-{F}(V8,V3,V9), P_add-{F}(V0,V9,V5), P_multiply-{F}(V2,V10,V9), P_add-{F}(V11,V10,V4), P_multiply-{F}(V2,V12,V0), P_add-{F}(V13,V4,V12) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #612: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #613: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #622: mergings( V3 == V4, V4 == V5; #618 ), references = 3, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V7,V3,V0), P_add-{F}(V1,V8,V7), P_multiply-{F}(V8,V3,V9), P_add-{F}(V0,V9,V5), P_multiply-{F}(V2,V10,V9), P_multiply-{F}(V2,V11,V0), P_add-{F}(V12,V4,V11), P_add-{F}(V13,V10,V14), P_add-{F}(V15,V14,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #625: mergings( V3 == V4, V4 == V5; #619 ), references = 2, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_multiply-{F}(V2,V3,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V7,V3,V0), P_add-{F}(V1,V8,V7), P_multiply-{F}(V8,V3,V9), P_add-{F}(V0,V9,V5), P_multiply-{F}(V2,V10,V9), P_add-{F}(V3,V10,V11), P_add-{F}(V4,V11,V4), P_multiply-{F}(V2,V12,V0), P_add-{F}(V13,V4,V12) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #639: mergings( V9 == V10, V3 == V4, V4 == V5; #634 ), references = 2, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V7,V6,V0), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V3,V0), P_multiply-{F}(V2,V9,V0), P_add-{F}(V10,V4,V9), P_add-{F}(V11,V3,V12), P_add-{F}(V13,V12,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #644: mergings( V9 == V10, V11 == V15, V3 == V4, V4 == V5; #635 ), references = 2, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V3,V6), P_add-{F}(V4,V6,V4), P_multiply-{F}(V7,V6,V0), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V3,V0), P_multiply-{F}(V2,V9,V0), P_add-{F}(V10,V4,V9) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #668: mergings( V2 == V3; #664 ), references = 2, size of lhs = 14:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V2,V0,V0), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V3,V6), P_add-{F}(V4,V6,V4), P_multiply-{F}(V7,V6,V0), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V3,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #670: mergings( V2 == V3; #665 ), references = 3, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V2,V0,V0), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V7,V6,V0), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V3,V0), P_add-{F}(V9,V3,V10), P_add-{F}(V11,V10,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #683: mergings( V2 == V3, V3 == V4; #679 ), references = 1, size of lhs = 9:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V2,V2,V4), P_add-{F}(V3,V4,V3), P_multiply-{F}(V1,V4,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #686: mergings( V2 == V3, V3 == V4; #680 ), references = 2, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V2,V2,V4), P_multiply-{F}(V1,V4,V0), P_add-{F}(V5,V2,V6), P_add-{F}(V7,V6,V3) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #691: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #692: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #697: exists( #20, #13 ), references = 1, size of lhs = 7:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V5,V7,V4), P_multiply-{F}(V6,V7,V8), P_add-{F}(V8,V2,V9) | P_associator-{T}(V3,V5,V7,V9)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #698: exists( #20, #165 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V3,V2,V4), P_multiply-{F}(V5,V6,V3), P_multiply-{F}(V7,V8,V5), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V7,V10,V11), P_add-{F}(V11,V12,V1), P_multiply-{F}(V7,V13,V14), P_multiply-{F}(V14,V13,V12), P_add-{F}(V15,V16,V13), P_multiply-{F}(V13,V15,V17), P_multiply-{F}(V13,V16,V18), P_add-{F}(V18,V10,V19), P_add-{F}(V17,V19,V9) | P_associator-{T}(V7,V8,V6,V4)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #719: mergings( V3 == V4, V4 == V5; #715 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V8,V10,V7), P_multiply-{F}(V9,V10,V5), P_associator-{F}(V6,V8,V10,V11), V11 == V0 | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #722: mergings( V3 == V4, V4 == V5; #716 ), references = 1, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V9,V6), P_associator-{F}(V8,V9,V7,V10), V10 == V0, P_multiply-{F}(V9,V7,V11), P_multiply-{F}(V8,V12,V13), P_add-{F}(V13,V14,V5), P_multiply-{F}(V8,V15,V16), P_multiply-{F}(V16,V15,V14), P_add-{F}(V17,V18,V15), P_multiply-{F}(V15,V17,V19), P_multiply-{F}(V15,V18,V20), P_add-{F}(V20,V12,V21), P_add-{F}(V19,V21,V11) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #727: mergings( V4 == V5, V5 == V6; #723 ), references = 1, size of lhs = 8:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V6,V8,V9), P_multiply-{F}(V8,V10,V7), P_multiply-{F}(V9,V10,V5) | P_associator-{T}(V6,V8,V10,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #730: mergings( V4 == V5, V5 == V6; #724 ), references = 1, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V8,V9,V6), P_multiply-{F}(V9,V7,V10), P_multiply-{F}(V8,V11,V12), P_add-{F}(V12,V13,V5), P_multiply-{F}(V8,V14,V15), P_multiply-{F}(V15,V14,V13), P_add-{F}(V16,V17,V14), P_multiply-{F}(V14,V16,V18), P_multiply-{F}(V14,V17,V19), P_add-{F}(V19,V11,V20), P_add-{F}(V18,V20,V10) | P_associator-{T}(V8,V9,V7,V0)
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #747: mergings( V10 == V11, V3 == V4, V4 == V5; #741 ), references = 1, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_multiply-{F}(V2,V6,V0), P_add-{F}(V7,V4,V6), P_multiply-{F}(V8,V3,V0), P_add-{F}(V2,V9,V8), P_multiply-{F}(V9,V3,V10), P_multiply-{F}(V11,V12,V10), P_multiply-{F}(V11,V13,V0), P_add-{F}(V12,V14,V13), P_add-{F}(V15,V3,V16), P_add-{F}(V17,V16,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #751: mergings( V10 == V11, V3 == V4, V4 == V5; #742 ), references = 1, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V6,V3,V4), P_multiply-{F}(V2,V7,V0), P_add-{F}(V8,V4,V7), P_multiply-{F}(V9,V3,V0), P_add-{F}(V2,V10,V9), P_multiply-{F}(V10,V3,V11), P_multiply-{F}(V12,V13,V11), P_multiply-{F}(V12,V14,V0), P_add-{F}(V13,V15,V14) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #755: mergings( V11 == V12, V3 == V4, V4 == V5; #743 ), references = 1, size of lhs = 18:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V7,V3,V4), P_multiply-{F}(V2,V8,V0), P_add-{F}(V9,V4,V8), P_multiply-{F}(V10,V3,V0), P_add-{F}(V2,V11,V10), P_multiply-{F}(V11,V3,V12), P_multiply-{F}(V13,V14,V12), P_multiply-{F}(V13,V15,V0), P_add-{F}(V14,V16,V15) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #762: mergings( V9 == V10, V3 == V4, V4 == V5; #756 ), references = 1, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_multiply-{F}(V2,V6,V0), P_add-{F}(V7,V4,V6), P_multiply-{F}(V8,V3,V0), P_add-{F}(V2,V9,V8), P_multiply-{F}(V9,V10,V0), P_add-{F}(V3,V11,V10), P_add-{F}(V12,V3,V13), P_add-{F}(V14,V13,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #766: mergings( V9 == V10, V3 == V4, V4 == V5; #757 ), references = 1, size of lhs = 15:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V6,V3,V4), P_multiply-{F}(V2,V7,V0), P_add-{F}(V8,V4,V7), P_multiply-{F}(V9,V3,V0), P_add-{F}(V2,V10,V9), P_multiply-{F}(V10,V11,V0), P_add-{F}(V3,V12,V11) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #770: mergings( V10 == V11, V3 == V4, V4 == V5; #758 ), references = 1, size of lhs = 16:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V3,V4,V5), P_add-{F}(V1,V2,V6), P_multiply-{F}(V6,V4,V0), P_multiply-{F}(V6,V3,V0), P_add-{F}(V7,V3,V4), P_multiply-{F}(V2,V8,V0), P_add-{F}(V9,V4,V8), P_multiply-{F}(V10,V3,V0), P_add-{F}(V2,V11,V10), P_multiply-{F}(V11,V12,V0), P_add-{F}(V3,V13,V12) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #787: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #780 ), references = 2, size of lhs = 11:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V3,V0), P_multiply-{F}(V1,V5,V0), P_add-{F}(V2,V6,V5), P_add-{F}(V7,V2,V8), P_add-{F}(V9,V8,V3) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #809: mergings( V3 == V4, V4 == V5; #805 ), references = 1, size of lhs = 12:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V2,V2,V4), P_add-{F}(V5,V5,V1), P_add-{F}(V4,V4,V6), P_multiply-{F}(V5,V6,V0), P_add-{F}(V7,V2,V8), P_add-{F}(V9,V8,V3) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #812: mergings( V3 == V4, V4 == V5; #806 ), references = 1, size of lhs = 17:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V2,V0,V0), P_y-{F}(V3), P_z-{F}(V4), P_add-{F}(V1,V2,V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V0), P_add-{F}(V3,V3,V6), P_add-{F}(V6,V6,V7), P_multiply-{F}(V8,V7,V0), P_add-{F}(V8,V8,V9), P_add-{F}(V2,V9,V10), P_multiply-{F}(V10,V3,V0), P_add-{F}(V11,V3,V12), P_add-{F}(V13,V12,V4) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #921: exists( #19, #915 ), references = 1, size of lhs = 10:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_multiply-{F}(V1,V4,V0), P_add-{F}(V2,V5,V4), P_add-{F}(V6,V2,V7), P_add-{F}(V8,V7,V3) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #927: mergings( V2 == V3, V3 == V4; #924 ), references = 1, size of lhs = 8:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V0,V3) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #933: mergings( V1 == V2, V2 == V3; #930 ), references = 2, size of lhs = 5:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #936: exists( #23, #934 ), references = 1, size of lhs = 3:
% 212.48/212.65 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #939: exists( #22, #937 ), references = 1, size of lhs = 1:
% 212.48/212.65 P_additive_identity-{F}(V0) | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 #941: exists( #17, #938 ), references = 1, size of lhs = 0:
% 212.48/212.65 FALSE | FALSE
% 212.48/212.65 (used 0 times, uses = {})
% 212.48/212.65
% 212.48/212.65 number of learnt formulas = 114
% 212.48/212.65
% 212.48/212.65
% 212.48/212.65 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 212.48/212.65
% 212.48/212.65 randbase = 1
%------------------------------------------------------------------------------