TSTP Solution File: RNG018-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n029.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 242.12s 242.30s
% Output : Refutation 242.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG018-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n029.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 07:47:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 242.12/242.30 GeoParameters:
% 242.12/242.30
% 242.12/242.30 tptp_input = 1
% 242.12/242.30 tptp_output = 0
% 242.12/242.30 nonempty = 1
% 242.12/242.30 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.12/242.30 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 242.12/242.30
% 242.12/242.30
% 242.12/242.30 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.12/242.30 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.12/242.30
% 242.12/242.30 RuleSystem INPUT:
% 242.12/242.30
% 242.12/242.30 Initial Rules:
% 242.12/242.30 #0: input, references = 5, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1: input, references = 4, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #2: input, references = 4, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #3: input, references = 4, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #4: input, references = 4, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #5: input, references = 4, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #6: input, references = 4, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #7: input, references = 7, size of lhs = 7:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #8: input, references = 5, size of lhs = 7:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #9: input, references = 4, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #10: input, references = 8, size of lhs = 6:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #11: input, references = 5, size of lhs = 6:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #12: input, references = 3, size of lhs = 6:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #13: input, references = 17, size of lhs = 9:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #14: input, references = 6, size of lhs = 7:
% 242.12/242.30 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #15: input, references = 13, size of lhs = 12:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V11), P_multiply-{F}(V1,V4,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V2,V4,V9), P_additive_inverse-{F}(V9,V10), P_add-{F}(V8,V10,V11) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #16: input, references = 17, size of lhs = 2:
% 242.12/242.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #17: input, references = 4, size of lhs = 0:
% 242.12/242.30 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #18: input, references = 36, size of lhs = 2:
% 242.12/242.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #19: input, references = 14, size of lhs = 1:
% 242.12/242.30 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #20: input, references = 17, size of lhs = 3:
% 242.12/242.30 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #21: input, references = 5, size of lhs = 2:
% 242.12/242.30 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #22: input, references = 4, size of lhs = 0:
% 242.12/242.30 FALSE | EXISTS V0: P_x-{T}(V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #23: input, references = 4, size of lhs = 0:
% 242.12/242.30 FALSE | EXISTS V0: P_y-{T}(V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #24: input, references = 6, size of lhs = 0:
% 242.12/242.30 FALSE | EXISTS V0: P_z-{T}(V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 number of initial rules = 25
% 242.12/242.30
% 242.12/242.30 Simplifiers:
% 242.12/242.30 #25: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #26: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #27: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #28: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #29: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #30: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #31: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #32: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #33: unsound, references = 3, size of lhs = 3:
% 242.12/242.30 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 number of simplifiers = 9
% 242.12/242.30
% 242.12/242.30 Learnt:
% 242.12/242.30 #36: exists( #16, #4 ), references = 10, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #37: exists( #16, #5 ), references = 8, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #39: exists( #21, #14 ), references = 1, size of lhs = 5:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #41: exists( #16, #1 ), references = 16, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #49: mergings( V2 == V0; #45 ), references = 1, size of lhs = 1:
% 242.12/242.30 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #55: exists( #16, #0 ), references = 37, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #56: exists( #16, #9 ), references = 30, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #57: exists( #16, #10 ), references = 20, size of lhs = 4:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #61: exists( #18, #2 ), references = 5, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #62: exists( #18, #3 ), references = 19, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #63: exists( #18, #8 ), references = 11, size of lhs = 5:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #67: mergings( V2 == V3; #65 ), references = 3, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V0), P_z-{F}(V3), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V5,V7,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #72: mergings( V1 == V2, V3 == V4; #69 ), references = 1, size of lhs = 6:
% 242.12/242.30 P_x-{F}(V0), P_y-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V0,V0,V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V1,V1,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #75: exists( #19, #6 ), references = 9, size of lhs = 2:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_additive_inverse-{T}(V2,V1)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #77: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #84: mergings( V2 == V3; #82 ), references = 1, size of lhs = 5:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3), P_commutator-{F}(V2,V1,V4), V4 == V0 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #87: mergings( V3 == V4; #85 ), references = 1, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3) | P_commutator-{T}(V2,V1,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #90: exists( #16, #7 ), references = 27, size of lhs = 5:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #91: exists( #16, #8 ), references = 11, size of lhs = 5:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #102: mergings( V3 == V4; #98 ), references = 3, size of lhs = 6:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_add-{F}(V3,V3,V5), P_multiply-{F}(V1,V5,V6), V6 == V4 | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #107: mergings( V3 == V4, V4 == V5, V5 == V6, V7 == V11; #100 ), references = 1, size of lhs = 7:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V3,V2,V4), P_add-{F}(V4,V0,V5), V4 == V5, P_add-{F}(V3,V3,V6), P_multiply-{F}(V6,V1,V4) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #122: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #128: mergings( V3 == V4; #126 ), references = 3, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V2,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #131: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #139: mergings( V3 == V4, V4 == V5; #136 ), references = 16, size of lhs = 6:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_multiply-{F}(V3,V4,V1), P_add-{F}(V5,V4,V6), P_multiply-{F}(V3,V6,V7), P_add-{F}(V7,V2,V8) | P_multiply-{T}(V3,V5,V8)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #164: mergings( V2 == V3, V3 == V4; #161 ), references = 25, size of lhs = 3:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #174: mergings( V3 == V4, V4 == V5, V5 == V6; #170 ), references = 1, size of lhs = 12:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V1), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V2,V3,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V4,V3,V6), P_multiply-{F}(V1,V6,V0), P_add-{F}(V1,V1,V7), P_multiply-{F}(V7,V3,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #181: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #176 ), references = 1, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_add-{F}(V1,V2,V1), P_z-{F}(V3), P_multiply-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V0), P_add-{F}(V1,V1,V5), P_multiply-{F}(V5,V3,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #197: mergings( V3 == V4, V4 == V5, V5 == V6; #193 ), references = 9, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V2,V4,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V9,V8,V6), P_multiply-{F}(V1,V10,V9), P_add-{F}(V10,V4,V11), P_multiply-{F}(V1,V11,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #204: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #199 ), references = 2, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V1), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V2,V3,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V4,V3,V6), P_multiply-{F}(V1,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #212: mergings( V2 == V3; #210 ), references = 1, size of lhs = 8:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_add-{F}(V1,V2,V1), P_z-{F}(V3), P_multiply-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #217: mergings( V1 == V2, V2 == V3; #214 ), references = 1, size of lhs = 6:
% 242.12/242.30 P_y-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_add-{F}(V1,V0,V1) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #224: mergings( V3 == V4; #221 ), references = 1, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V0), P_multiply-{F}(V1,V3,V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V5,V7,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #226: mergings( V3 == V4; #222 ), references = 1, size of lhs = 11:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V0), P_multiply-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V5), P_add-{F}(V6,V5,V0), P_multiply-{F}(V1,V7,V6), P_add-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #232: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #263: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #255 ), references = 1, size of lhs = 21:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_add-{F}(V3,V6,V2), P_additive_inverse-{F}(V0,V7), P_multiply-{F}(V6,V8,V0), P_add-{F}(V5,V8,V9), P_add-{F}(V4,V8,V9), P_multiply-{F}(V10,V9,V0), P_add-{F}(V10,V2,V3), P_add-{F}(V8,V9,V11), P_multiply-{F}(V3,V11,V0), P_add-{F}(V2,V2,V12), P_multiply-{F}(V12,V9,V0), P_multiply-{F}(V1,V13,V0), P_add-{F}(V14,V4,V13), P_multiply-{F}(V1,V14,V15), P_add-{F}(V15,V7,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #270: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #256 ), references = 1, size of lhs = 20:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V1,V4,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V3,V8,V2), P_additive_inverse-{F}(V0,V9), P_add-{F}(V7,V9,V0), P_multiply-{F}(V8,V10,V0), P_add-{F}(V5,V10,V11), P_add-{F}(V4,V10,V11), P_multiply-{F}(V12,V11,V0), P_add-{F}(V12,V2,V3), P_add-{F}(V10,V11,V13), P_multiply-{F}(V3,V13,V0), P_add-{F}(V2,V2,V14), P_multiply-{F}(V14,V11,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #274: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #283: exists( #18, #102 ), references = 7, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V2,V3,V4), P_add-{F}(V3,V3,V5) | P_multiply-{T}(V1,V5,V4)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #284: exists( #18, #7 ), references = 1, size of lhs = 5:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #306: mergings( V11 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #299 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V2,V2,V3), P_add-{F}(V1,V2,V4), P_add-{F}(V4,V4,V3), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V6,V6,V5), P_multiply-{F}(V1,V5,V7), P_additive_inverse-{F}(V7,V0), P_add-{F}(V3,V3,V8), P_multiply-{F}(V8,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #312: mergings( V11 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #300 ), references = 1, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V2,V2,V3), P_add-{F}(V1,V2,V4), P_add-{F}(V4,V4,V3), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V6,V6,V5), P_multiply-{F}(V1,V7,V0), P_add-{F}(V7,V5,V8), P_multiply-{F}(V1,V8,V0), P_add-{F}(V3,V3,V9), P_multiply-{F}(V9,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #322: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #324: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #329: exists( #18, #102 ), references = 8, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V2,V3,V5)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #344: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #346: exists( #18, #11 ), references = 1, size of lhs = 4:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #367: mergings( V3 == V4, V4 == V5, V5 == V6; #362 ), references = 1, size of lhs = 12:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V4), P_multiply-{F}(V1,V4,V5), P_additive_inverse-{F}(V5,V0), P_multiply-{F}(V6,V4,V0), P_add-{F}(V6,V2,V3), P_add-{F}(V4,V4,V7), P_multiply-{F}(V2,V7,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #371: mergings( V3 == V4, V4 == V5, V5 == V6; #363 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V4), P_multiply-{F}(V1,V5,V0), P_add-{F}(V5,V4,V6), P_multiply-{F}(V1,V6,V0), P_multiply-{F}(V7,V4,V0), P_add-{F}(V7,V2,V3), P_add-{F}(V4,V4,V8), P_multiply-{F}(V2,V8,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #378: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V8; #372 ), references = 1, size of lhs = 9:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_multiply-{F}(V1,V3,V0), P_add-{F}(V3,V3,V4), P_multiply-{F}(V2,V4,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #382: mergings( V3 == V4, V4 == V5, V5 == V6; #373 ), references = 1, size of lhs = 11:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_multiply-{F}(V1,V3,V0), P_multiply-{F}(V1,V4,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V1,V5,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V2,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #384: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #409: mergings( V3 == V4, V4 == V5; #406 ), references = 1, size of lhs = 8:
% 242.12/242.30 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V2), P_add-{F}(V4,V5,V6), P_multiply-{F}(V3,V5,V7), P_multiply-{F}(V8,V9,V1), P_multiply-{F}(V9,V8,V7), P_commutator-{F}(V8,V9,V10) | P_multiply-{T}(V3,V6,V10)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #429: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #422 ), references = 5, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_multiply-{F}(V1,V5,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V2,V5,V10), P_additive_inverse-{F}(V10,V11), P_multiply-{F}(V12,V6,V9), P_add-{F}(V13,V3,V12), P_multiply-{F}(V13,V6,V14), P_add-{F}(V14,V11,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #435: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #423 ), references = 5, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_multiply-{F}(V2,V5,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V1,V10,V0), P_add-{F}(V11,V5,V10), P_multiply-{F}(V1,V11,V12), P_multiply-{F}(V13,V6,V12), P_add-{F}(V14,V3,V13), P_multiply-{F}(V14,V6,V15), P_add-{F}(V15,V9,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #450: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #442 ), references = 1, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V4,V5,V6), P_multiply-{F}(V1,V5,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V2,V3,V9), P_multiply-{F}(V9,V5,V8), P_add-{F}(V5,V5,V10), P_multiply-{F}(V2,V10,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #457: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #443 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V4,V5,V6), P_add-{F}(V2,V3,V7), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V1,V9,V8), P_add-{F}(V9,V5,V10), P_multiply-{F}(V1,V10,V0), P_add-{F}(V5,V5,V11), P_multiply-{F}(V2,V11,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #474: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #464 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V3,V3,V7), P_multiply-{F}(V2,V7,V0), P_add-{F}(V2,V2,V8), P_add-{F}(V1,V8,V9), P_multiply-{F}(V9,V3,V6) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #483: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #465 ), references = 1, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V3,V3,V5), P_multiply-{F}(V2,V5,V0), P_add-{F}(V2,V2,V6), P_add-{F}(V1,V6,V7), P_multiply-{F}(V7,V3,V8), P_multiply-{F}(V1,V9,V8), P_add-{F}(V9,V3,V10), P_multiply-{F}(V1,V10,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #494: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #519: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #513 ), references = 1, size of lhs = 21:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V7), P_add-{F}(V4,V6,V8), P_multiply-{F}(V1,V5,V9), P_additive_inverse-{F}(V9,V10), P_multiply-{F}(V2,V5,V11), P_additive_inverse-{F}(V11,V12), P_multiply-{F}(V13,V6,V10), P_add-{F}(V14,V3,V13), P_add-{F}(V15,V12,V0), P_multiply-{F}(V16,V7,V17), P_add-{F}(V18,V17,V15), P_multiply-{F}(V19,V6,V18), P_add-{F}(V16,V19,V20), P_add-{F}(V16,V20,V14) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #524: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #514 ), references = 2, size of lhs = 22:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V7), P_add-{F}(V4,V6,V8), P_multiply-{F}(V2,V5,V9), P_additive_inverse-{F}(V9,V10), P_multiply-{F}(V1,V11,V0), P_add-{F}(V12,V5,V11), P_multiply-{F}(V1,V12,V13), P_multiply-{F}(V14,V6,V13), P_add-{F}(V15,V3,V14), P_add-{F}(V16,V10,V0), P_multiply-{F}(V17,V7,V18), P_add-{F}(V19,V18,V16), P_multiply-{F}(V20,V6,V19), P_add-{F}(V17,V20,V21), P_add-{F}(V17,V21,V15) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #542: mergings( V13 == V21, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #533 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V4,V5,V6), P_multiply-{F}(V1,V5,V7), P_additive_inverse-{F}(V7,V8), P_add-{F}(V5,V5,V9), P_multiply-{F}(V2,V9,V0), P_multiply-{F}(V10,V9,V0), P_add-{F}(V10,V2,V11), P_add-{F}(V10,V11,V12), P_add-{F}(V12,V3,V13), P_multiply-{F}(V13,V5,V8) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #550: mergings( V13 == V22, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #534 ), references = 1, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V5), P_add-{F}(V4,V5,V6), P_add-{F}(V5,V5,V7), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V8,V7,V0), P_add-{F}(V8,V2,V9), P_add-{F}(V8,V9,V10), P_add-{F}(V10,V3,V11), P_multiply-{F}(V11,V5,V12), P_multiply-{F}(V1,V13,V12), P_add-{F}(V13,V5,V14), P_multiply-{F}(V1,V14,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #568: mergings( V13 == V20, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #557 ), references = 1, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V3,V3,V7), P_multiply-{F}(V2,V7,V0), P_multiply-{F}(V8,V7,V0), P_add-{F}(V8,V2,V9), P_add-{F}(V8,V9,V10), P_add-{F}(V2,V10,V11), P_add-{F}(V1,V11,V12), P_multiply-{F}(V12,V3,V6) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #578: mergings( V13 == V18, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #558 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V0,V3,V4), P_add-{F}(V3,V3,V5), P_multiply-{F}(V2,V5,V0), P_multiply-{F}(V6,V5,V0), P_add-{F}(V6,V2,V7), P_add-{F}(V6,V7,V8), P_add-{F}(V2,V8,V9), P_add-{F}(V1,V9,V10), P_multiply-{F}(V10,V3,V11), P_multiply-{F}(V1,V12,V11), P_add-{F}(V12,V3,V13), P_multiply-{F}(V1,V13,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #600: mergings( V6 == V18, V2 == V3, V3 == V4, V4 == V5, V5 == V18, V18 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #587 ), references = 1, size of lhs = 12:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V0,V0), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V3,V3,V0), P_add-{F}(V0,V3,V4), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V1,V0,V7), P_multiply-{F}(V7,V3,V6) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #612: mergings( V6 == V16, V2 == V3, V3 == V4, V4 == V5, V5 == V16, V16 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #588 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_multiply-{F}(V2,V0,V0), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V3,V3,V0), P_add-{F}(V0,V3,V4), P_add-{F}(V1,V0,V5), P_multiply-{F}(V5,V3,V6), P_multiply-{F}(V1,V7,V6), P_add-{F}(V7,V3,V8), P_multiply-{F}(V1,V8,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #626: mergings( V7 == V16, V16 == V17, V3 == V4, V4 == V5, V5 == V6, V6 == V17, V17 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13; #613 ), references = 1, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V2,V0,V0), P_z-{F}(V3), P_additive_inverse-{F}(V3,V3), P_add-{F}(V3,V3,V0), P_add-{F}(V0,V3,V4) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #660: mergings( V3 == V4, V4 == V5, V5 == V6; #654 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_add-{F}(V4,V4,V5), P_additive_inverse-{F}(V4,V6), P_multiply-{F}(V3,V6,V0), P_add-{F}(V5,V4,V7), P_multiply-{F}(V1,V7,V0), P_add-{F}(V0,V8,V8), P_multiply-{F}(V1,V9,V8), P_add-{F}(V5,V9,V10), P_multiply-{F}(V1,V10,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #663: mergings( V3 == V4, V4 == V5; #655 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_add-{F}(V1,V3,V1), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_add-{F}(V5,V5,V6), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V6,V5,V8), P_multiply-{F}(V1,V8,V0), P_add-{F}(V0,V9,V9), P_multiply-{F}(V1,V10,V9), P_add-{F}(V6,V10,V11), P_multiply-{F}(V1,V11,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #667: mergings( V3 == V4, V4 == V5, V5 == V6; #656 ), references = 1, size of lhs = 21:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_add-{F}(V5,V5,V6), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V5), P_add-{F}(V4,V6,V7), P_multiply-{F}(V8,V6,V0), P_add-{F}(V2,V8,V9), P_add-{F}(V2,V9,V10), P_add-{F}(V10,V3,V1), P_add-{F}(V6,V5,V11), P_multiply-{F}(V1,V11,V0), P_add-{F}(V0,V12,V12), P_multiply-{F}(V1,V13,V12), P_add-{F}(V6,V13,V14), P_multiply-{F}(V1,V14,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #677: mergings( V3 == V4, V4 == V5, V5 == V6; #671 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_add-{F}(V4,V4,V5), P_additive_inverse-{F}(V4,V6), P_multiply-{F}(V3,V6,V0), P_add-{F}(V5,V4,V7), P_multiply-{F}(V1,V7,V0), P_multiply-{F}(V1,V8,V0), P_add-{F}(V5,V9,V8) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #680: mergings( V3 == V4, V4 == V5; #672 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_add-{F}(V1,V3,V1), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_add-{F}(V5,V5,V6), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_add-{F}(V6,V5,V8), P_multiply-{F}(V1,V8,V0), P_multiply-{F}(V1,V9,V0), P_add-{F}(V6,V10,V9) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #684: mergings( V3 == V4, V4 == V5, V5 == V6; #673 ), references = 1, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V1,V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_add-{F}(V5,V5,V6), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V5), P_add-{F}(V4,V6,V7), P_multiply-{F}(V8,V6,V0), P_add-{F}(V2,V8,V9), P_add-{F}(V2,V9,V10), P_add-{F}(V10,V3,V1), P_add-{F}(V6,V5,V11), P_multiply-{F}(V1,V11,V0), P_multiply-{F}(V1,V12,V0), P_add-{F}(V6,V13,V12) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #716: mergings( V3 == V4, V4 == V5; #713 ), references = 4, size of lhs = 6:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #749: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #740 ), references = 2, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V0), P_z-{F}(V3), P_multiply-{F}(V1,V3,V4), P_add-{F}(V0,V4,V4), P_add-{F}(V5,V4,V4), P_multiply-{F}(V2,V6,V0), P_add-{F}(V3,V7,V6), P_multiply-{F}(V8,V7,V5), P_add-{F}(V2,V9,V8), P_multiply-{F}(V9,V10,V4), P_add-{F}(V7,V10,V11), P_multiply-{F}(V9,V11,V0), P_add-{F}(V12,V4,V13), P_add-{F}(V14,V13,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #757: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #741 ), references = 2, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_multiply-{F}(V1,V4,V6), P_add-{F}(V0,V6,V6), P_add-{F}(V7,V6,V6), P_multiply-{F}(V2,V8,V0), P_add-{F}(V4,V9,V8), P_multiply-{F}(V10,V9,V7), P_add-{F}(V2,V11,V10), P_multiply-{F}(V11,V12,V6), P_add-{F}(V9,V12,V13), P_multiply-{F}(V11,V13,V0), P_add-{F}(V14,V6,V15), P_add-{F}(V16,V15,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #764: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #742 ), references = 2, size of lhs = 20:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_add-{F}(V2,V1,V6), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V4,V7), P_multiply-{F}(V6,V8,V9), P_add-{F}(V4,V8,V10), P_multiply-{F}(V2,V10,V0), P_multiply-{F}(V1,V11,V0), P_add-{F}(V8,V12,V11), P_multiply-{F}(V1,V12,V13), P_add-{F}(V0,V13,V13), P_add-{F}(V9,V13,V13), P_add-{F}(V14,V13,V15), P_add-{F}(V16,V15,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #781: mergings( V3 == V4; #777 ), references = 1, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V0), P_z-{F}(V3), P_multiply-{F}(V1,V3,V4), P_add-{F}(V0,V4,V4), P_add-{F}(V5,V4,V4), P_multiply-{F}(V2,V6,V0), P_add-{F}(V3,V7,V6), P_multiply-{F}(V8,V7,V5), P_add-{F}(V2,V9,V8), P_multiply-{F}(V9,V10,V4), P_add-{F}(V7,V10,V11), P_multiply-{F}(V9,V11,V0), P_multiply-{F}(V12,V13,V4), P_add-{F}(V14,V13,V15), P_multiply-{F}(V12,V15,V16), P_add-{F}(V17,V16,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #783: mergings( V3 == V4; #778 ), references = 1, size of lhs = 21:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_multiply-{F}(V1,V4,V6), P_add-{F}(V0,V6,V6), P_add-{F}(V7,V6,V6), P_multiply-{F}(V2,V8,V0), P_add-{F}(V4,V9,V8), P_multiply-{F}(V10,V9,V7), P_add-{F}(V2,V11,V10), P_multiply-{F}(V11,V12,V6), P_add-{F}(V9,V12,V13), P_multiply-{F}(V11,V13,V0), P_multiply-{F}(V14,V15,V6), P_add-{F}(V16,V15,V17), P_multiply-{F}(V14,V17,V18), P_add-{F}(V19,V18,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #785: mergings( V3 == V4; #779 ), references = 1, size of lhs = 22:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_add-{F}(V2,V1,V6), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V4,V7), P_multiply-{F}(V6,V8,V9), P_add-{F}(V4,V8,V10), P_multiply-{F}(V2,V10,V0), P_multiply-{F}(V1,V11,V0), P_add-{F}(V8,V12,V11), P_multiply-{F}(V1,V12,V13), P_add-{F}(V0,V13,V13), P_add-{F}(V9,V13,V13), 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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #793: mergings( V3 == V4; #789 ), references = 1, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V0), P_z-{F}(V3), P_add-{F}(V2,V1,V4), P_multiply-{F}(V4,V5,V0), P_add-{F}(V3,V5,V6), P_multiply-{F}(V2,V6,V0), P_add-{F}(V5,V3,V7), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V3,V9), P_multiply-{F}(V1,V9,V10), P_add-{F}(V11,V10,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #795: mergings( V3 == V4; #790 ), references = 1, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_add-{F}(V2,V1,V6), P_multiply-{F}(V6,V7,V0), P_add-{F}(V4,V7,V8), P_multiply-{F}(V2,V8,V0), P_add-{F}(V7,V4,V9), P_multiply-{F}(V1,V9,V0), P_add-{F}(V10,V4,V11), P_multiply-{F}(V1,V11,V12), P_add-{F}(V13,V12,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #797: mergings( V3 == V4; #791 ), references = 1, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V3,V5,V0), P_add-{F}(V2,V1,V6), P_multiply-{F}(V6,V7,V0), P_add-{F}(V7,V4,V8), P_multiply-{F}(V1,V8,V0), P_add-{F}(V4,V7,V9), P_multiply-{F}(V2,V9,V0), P_multiply-{F}(V1,V10,V0), P_add-{F}(V7,V11,V10), P_add-{F}(V12,V11,V13), P_multiply-{F}(V1,V13,V14), P_add-{F}(V15,V14,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #810: exists( #18, #11 ), references = 3, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V3,V2,V5) | P_multiply-{T}(V4,V1,V5)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #838: mergings( V3 == V4, V4 == V5, V5 == V6; #832 ), references = 3, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V4,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
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #841: mergings( V3 == V4, V4 == V5; #833 ), references = 4, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_multiply-{F}(V1,V5,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V2,V5,V10), P_multiply-{F}(V11,V6,V10), P_add-{F}(V11,V3,V12), P_multiply-{F}(V12,V6,V9), P_multiply-{F}(V13,V14,V10), P_multiply-{F}(V13,V15,V0), P_add-{F}(V16,V14,V15) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #844: mergings( V3 == V4, V4 == V5; #834 ), references = 3, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V4,V6,V7), P_multiply-{F}(V2,V5,V8), P_multiply-{F}(V9,V6,V8), P_add-{F}(V9,V3,V10), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V1,V12,V11), P_add-{F}(V12,V5,V13), P_multiply-{F}(V1,V13,V0), P_multiply-{F}(V14,V15,V8), P_multiply-{F}(V14,V16,V0), P_add-{F}(V17,V15,V16) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #857: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #850 ), references = 2, size of lhs = 9:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V3,V5), P_associator-{F}(V4,V3,V1,V6), V6 == V0, P_multiply-{F}(V5,V7,V0), P_add-{F}(V8,V1,V7) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #863: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #858 ), references = 1, size of lhs = 7:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V5,V6,V0), P_add-{F}(V7,V1,V6) | P_associator-{T}(V4,V3,V1,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #876: mergings( V3 == V4, V4 == V5; #872 ), references = 1, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_multiply-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V2), P_additive_inverse-{F}(V5,V8), P_add-{F}(V5,V5,V8), P_add-{F}(V4,V8,V9), P_multiply-{F}(V1,V5,V10), P_additive_inverse-{F}(V10,V11), P_add-{F}(V12,V12,V2), P_add-{F}(V12,V3,V13), P_multiply-{F}(V13,V8,V11), P_multiply-{F}(V12,V14,V0), P_add-{F}(V15,V8,V14) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #879: mergings( V3 == V4, V4 == V5; #873 ), references = 1, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_multiply-{F}(V5,V5,V6), P_multiply-{F}(V7,V5,V2), P_additive_inverse-{F}(V5,V8), P_add-{F}(V5,V5,V8), P_add-{F}(V4,V8,V9), P_add-{F}(V10,V10,V2), P_add-{F}(V10,V3,V11), P_multiply-{F}(V11,V8,V12), P_multiply-{F}(V1,V13,V12), P_add-{F}(V13,V5,V14), P_multiply-{F}(V1,V14,V0), P_multiply-{F}(V10,V15,V0), P_add-{F}(V16,V8,V15) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #892: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #886 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V2), P_additive_inverse-{F}(V3,V6), P_add-{F}(V3,V3,V6), P_add-{F}(V0,V6,V7), P_multiply-{F}(V1,V3,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V10,V10,V2), P_add-{F}(V2,V10,V11), P_add-{F}(V1,V11,V12), P_multiply-{F}(V12,V6,V9), P_multiply-{F}(V10,V13,V0), P_add-{F}(V14,V6,V13) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #897: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #887 ), references = 1, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V2), P_additive_inverse-{F}(V3,V6), P_add-{F}(V3,V3,V6), P_add-{F}(V0,V6,V7), P_add-{F}(V8,V8,V2), P_add-{F}(V2,V8,V9), P_add-{F}(V1,V9,V10), P_multiply-{F}(V10,V6,V11), P_multiply-{F}(V1,V12,V11), P_add-{F}(V12,V3,V13), P_multiply-{F}(V1,V13,V0), P_multiply-{F}(V8,V14,V0), P_add-{F}(V15,V6,V14) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #917: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #908 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V1,V3,V2), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V2), P_additive_inverse-{F}(V3,V6), P_add-{F}(V3,V3,V6), P_add-{F}(V0,V6,V7), P_add-{F}(V1,V0,V8), P_add-{F}(V6,V6,V9), P_multiply-{F}(V8,V9,V2), P_add-{F}(V10,V6,V0), P_multiply-{F}(V8,V11,V2), P_add-{F}(V6,V11,V12), P_multiply-{F}(V8,V12,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #925: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #909 ), references = 1, size of lhs = 18:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V5,V3,V2), P_additive_inverse-{F}(V3,V6), P_add-{F}(V3,V3,V6), P_add-{F}(V0,V6,V7), P_add-{F}(V6,V3,V8), P_multiply-{F}(V1,V8,V0), P_add-{F}(V6,V6,V9), P_multiply-{F}(V1,V9,V2), P_add-{F}(V10,V6,V0), P_multiply-{F}(V1,V11,V2), P_add-{F}(V6,V11,V12), P_multiply-{F}(V1,V12,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #944: mergings( V3 == V4, V4 == V5, V5 == V6; #938 ), references = 2, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V10,V4,V7), P_add-{F}(V11,V9,V0), P_multiply-{F}(V12,V4,V11), P_add-{F}(V1,V12,V13), P_add-{F}(V2,V13,V10) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #948: mergings( V3 == V4, V4 == V5, V5 == V6; #939 ), references = 2, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V1,V8,V0), P_add-{F}(V9,V3,V8), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V11,V4,V10), P_add-{F}(V12,V7,V0), P_multiply-{F}(V13,V4,V12), P_add-{F}(V1,V13,V14), P_add-{F}(V2,V14,V11) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #952: mergings( V3 == V4, V4 == V5, V5 == V6; #940 ), references = 1, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_multiply-{F}(V9,V4,V8), P_add-{F}(V1,V9,V10), P_add-{F}(V2,V10,V11), P_multiply-{F}(V11,V4,V7), P_multiply-{F}(V12,V13,V8), P_multiply-{F}(V12,V14,V0), P_add-{F}(V15,V13,V14) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #977: mergings( V3 == V4; #974 ), references = 1, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V5), P_add-{F}(V4,V6,V7), P_multiply-{F}(V1,V5,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V2,V2,V10), P_add-{F}(V10,V3,V11), P_multiply-{F}(V11,V6,V9), P_multiply-{F}(V2,V12,V0), P_add-{F}(V13,V5,V12) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #979: mergings( V3 == V4; #975 ), references = 1, size of lhs = 17:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_multiply-{F}(V3,V4,V0), P_z-{F}(V5), P_additive_inverse-{F}(V5,V6), P_add-{F}(V6,V6,V5), P_add-{F}(V4,V6,V7), P_add-{F}(V2,V2,V8), P_add-{F}(V8,V3,V9), P_multiply-{F}(V9,V6,V10), P_multiply-{F}(V1,V11,V10), P_add-{F}(V11,V5,V12), P_multiply-{F}(V1,V12,V0), P_multiply-{F}(V2,V13,V0), P_add-{F}(V14,V5,V13) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #993: exists( #20, #857 ), references = 1, size of lhs = 7:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V1,V5), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V5,V6,V0), P_add-{F}(V7,V1,V6) | P_associator-{T}(V4,V3,V1,V0)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #994: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #995: exists( #20, #838 ), references = 1, size of lhs = 8:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V4,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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1028: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1021 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V1,V4,V6), P_additive_inverse-{F}(V6,V0), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V8,V5,V0), P_add-{F}(V8,V9,V3), P_add-{F}(V0,V10,V7), P_multiply-{F}(V9,V11,V10), P_add-{F}(V5,V11,V12), P_multiply-{F}(V9,V12,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1034: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1022 ), references = 1, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V1,V7,V0), P_add-{F}(V7,V4,V8), P_multiply-{F}(V1,V8,V0), P_multiply-{F}(V9,V5,V0), P_add-{F}(V9,V10,V3), P_add-{F}(V0,V11,V6), P_multiply-{F}(V10,V12,V11), P_add-{F}(V5,V12,V13), P_multiply-{F}(V10,V13,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1044: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1037 ), references = 1, size of lhs = 12:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V1,V4,V6), P_additive_inverse-{F}(V6,V0), P_multiply-{F}(V7,V5,V0), P_add-{F}(V7,V2,V3), P_add-{F}(V5,V4,V8), P_multiply-{F}(V2,V8,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1050: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1038 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_add-{F}(V1,V2,V3), P_z-{F}(V4), P_additive_inverse-{F}(V4,V5), P_multiply-{F}(V1,V6,V0), P_add-{F}(V6,V4,V7), P_multiply-{F}(V1,V7,V0), P_multiply-{F}(V8,V5,V0), P_add-{F}(V8,V2,V3), P_add-{F}(V5,V4,V9), P_multiply-{F}(V2,V9,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1058: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1051 ), references = 1, size of lhs = 10:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V1,V3,V5), P_additive_inverse-{F}(V5,V0), P_add-{F}(V4,V3,V6), P_multiply-{F}(V2,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1064: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #1052 ), references = 1, size of lhs = 11:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V1,V5,V0), P_add-{F}(V5,V3,V6), P_multiply-{F}(V1,V6,V0), P_add-{F}(V4,V3,V7), P_multiply-{F}(V2,V7,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1079: mergings( V3 == V4, V4 == V5; #1074 ), references = 2, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V10,V4,V7), P_add-{F}(V11,V9,V0), P_multiply-{F}(V12,V4,V11), P_add-{F}(V12,V2,V13), P_add-{F}(V1,V13,V10) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1082: mergings( V3 == V4, V4 == V5; #1075 ), references = 2, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_additive_inverse-{F}(V8,V9), P_multiply-{F}(V10,V4,V7), P_add-{F}(V11,V9,V0), P_multiply-{F}(V12,V4,V11), P_add-{F}(V2,V12,V13), P_add-{F}(V1,V13,V10) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1085: mergings( V3 == V4, V4 == V5; #1076 ), references = 2, size of lhs = 16:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V1,V8,V0), P_add-{F}(V9,V3,V8), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V11,V4,V10), P_add-{F}(V12,V7,V0), P_multiply-{F}(V13,V4,V12), P_add-{F}(V13,V2,V14), P_add-{F}(V1,V14,V11) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1127: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1128: exists( #20, #838 ), references = 1, size of lhs = 8:
% 242.12/242.30 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V4,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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1136: exists( #20, #13 ), references = 1, size of lhs = 7:
% 242.12/242.30 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)
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1179: mergings( V3 == V4, V4 == V5, V5 == V6; #1173 ), references = 1, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_multiply-{F}(V9,V4,V7), P_add-{F}(V1,V10,V9), P_add-{F}(V11,V2,V10), P_add-{F}(V0,V12,V8), P_add-{F}(V13,V12,V12), P_multiply-{F}(V14,V4,V13), P_add-{F}(V11,V15,V14), P_multiply-{F}(V15,V16,V12), P_add-{F}(V4,V16,V17), P_multiply-{F}(V15,V17,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1183: mergings( V3 == V4, V4 == V5, V5 == V6; #1174 ), references = 1, size of lhs = 19:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V2,V3,V8), P_multiply-{F}(V9,V4,V7), P_add-{F}(V1,V10,V9), P_add-{F}(V2,V11,V10), P_add-{F}(V0,V12,V8), P_add-{F}(V13,V12,V12), P_multiply-{F}(V14,V4,V13), P_add-{F}(V11,V15,V14), P_multiply-{F}(V15,V16,V12), P_add-{F}(V4,V16,V17), P_multiply-{F}(V15,V17,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1187: mergings( V3 == V4, V4 == V5, V5 == V6; #1175 ), references = 1, size of lhs = 20:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V2,V3,V6), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V3,V7), P_multiply-{F}(V1,V8,V9), P_multiply-{F}(V10,V4,V9), P_add-{F}(V1,V11,V10), P_add-{F}(V12,V2,V11), P_add-{F}(V0,V13,V6), P_add-{F}(V14,V13,V13), P_multiply-{F}(V15,V4,V14), P_add-{F}(V12,V16,V15), P_multiply-{F}(V16,V17,V13), P_add-{F}(V4,V17,V18), P_multiply-{F}(V16,V18,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1198: mergings( V13 == V15, V3 == V4, V4 == V5, V5 == V6; #1191 ), references = 1, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V4,V3,V8), P_multiply-{F}(V2,V8,V0), P_multiply-{F}(V9,V4,V7), P_add-{F}(V1,V10,V9), P_multiply-{F}(V10,V4,V0), P_add-{F}(V11,V2,V10) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1202: mergings( V3 == V4, V4 == V5, V5 == V6; #1192 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V4,V3,V8), P_multiply-{F}(V2,V8,V0), P_multiply-{F}(V9,V4,V7), P_add-{F}(V1,V10,V9), P_add-{F}(V2,V11,V10), P_add-{F}(V11,V2,V12), P_multiply-{F}(V12,V4,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1207: mergings( V14 == V16, V3 == V4, V4 == V5, V5 == V6; #1193 ), references = 1, size of lhs = 15:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V0,V4,V5), P_add-{F}(V4,V3,V6), P_multiply-{F}(V2,V6,V0), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V3,V7), P_multiply-{F}(V1,V8,V9), P_multiply-{F}(V10,V4,V9), P_add-{F}(V1,V11,V10), P_multiply-{F}(V11,V4,V0), P_add-{F}(V12,V2,V11) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1219: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1212 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V0,V4,V0), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V4,V3,V8), P_multiply-{F}(V2,V8,V0), P_add-{F}(V1,V0,V9), P_multiply-{F}(V9,V4,V7) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1225: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1213 ), references = 1, size of lhs = 13:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V0,V4,V0), P_add-{F}(V0,V4,V5), P_multiply-{F}(V1,V3,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V4,V3,V8), P_multiply-{F}(V2,V8,V0), P_add-{F}(V1,V0,V9), P_multiply-{F}(V9,V4,V7) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1230: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #1214 ), references = 2, size of lhs = 14:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V0,V4,V0), P_add-{F}(V0,V4,V5), P_add-{F}(V4,V3,V6), P_multiply-{F}(V2,V6,V0), P_add-{F}(V1,V0,V7), P_multiply-{F}(V7,V4,V8), P_multiply-{F}(V1,V9,V8), P_add-{F}(V9,V3,V10), P_multiply-{F}(V1,V10,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1264: mergings( V7 == V8; #1262 ), references = 1, size of lhs = 11:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_y-{F}(V2), P_z-{F}(V3), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V0,V4,V0), P_add-{F}(V0,V4,V5), P_add-{F}(V4,V3,V6), P_multiply-{F}(V2,V6,V0), P_multiply-{F}(V1,V6,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1270: mergings( V2 == V3; #1268 ), references = 1, size of lhs = 7:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V2,V0,V0), P_z-{F}(V3) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1273: mergings( V1 == V2; #1271 ), references = 1, size of lhs = 6:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V2,V0,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1276: exists( #23, #1274 ), references = 2, size of lhs = 4:
% 242.12/242.30 P_additive_identity-{F}(V0), P_x-{F}(V1), P_add-{F}(V1,V0,V1), P_multiply-{F}(V1,V0,V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1280: exists( #22, #1278 ), references = 1, size of lhs = 1:
% 242.12/242.30 P_additive_identity-{F}(V0) | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 #1282: exists( #17, #1279 ), references = 1, size of lhs = 0:
% 242.12/242.30 FALSE | FALSE
% 242.12/242.30 (used 0 times, uses = {})
% 242.12/242.30
% 242.12/242.30 number of learnt formulas = 132
% 242.12/242.30
% 242.12/242.30
% 242.12/242.30 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 242.12/242.30
% 242.12/242.30 randbase = 1
%------------------------------------------------------------------------------