%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n008.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 76.09s 76.28s
% Output : Refutation 76.09s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : RNG016-6 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n008.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:45:53 EDT 2022
% 0.13/0.33 % CPUTime :
% 76.09/76.28 GeoParameters:
% 76.09/76.28
% 76.09/76.28 tptp_input = 1
% 76.09/76.28 tptp_output = 0
% 76.09/76.28 nonempty = 1
% 76.09/76.28 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.09/76.28 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 76.09/76.28
% 76.09/76.28
% 76.09/76.28 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.09/76.28 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.09/76.28
% 76.09/76.28 RuleSystem INPUT:
% 76.09/76.28
% 76.09/76.28 Initial Rules:
% 76.09/76.28 #0: input, references = 5, size of lhs = 3:
% 76.09/76.28 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #1: input, references = 4, size of lhs = 3:
% 76.09/76.28 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #2: input, references = 4, size of lhs = 3:
% 76.09/76.28 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #3: input, references = 4, size of lhs = 3:
% 76.09/76.28 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #4: input, references = 4, size of lhs = 4:
% 76.09/76.28 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #5: input, references = 4, size of lhs = 4:
% 76.09/76.28 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #6: input, references = 3, size of lhs = 4:
% 76.09/76.28 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #7: input, references = 6, size of lhs = 7:
% 76.09/76.28 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
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #8: input, references = 6, size of lhs = 7:
% 76.09/76.28 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
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #9: input, references = 4, size of lhs = 4:
% 76.09/76.28 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #10: input, references = 6, size of lhs = 6:
% 76.09/76.28 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
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #11: input, references = 4, size of lhs = 6:
% 76.09/76.28 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
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #12: input, references = 4, size of lhs = 6:
% 76.09/76.28 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
% 76.09/76.28 (used 0 times, uses = {})
% 76.09/76.28
% 76.09/76.28 #13: input, references = 16, size of lhs = 9:
% 76.09/76.28 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
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #14: input, references = 6, size of lhs = 7:
% 76.09/76.29 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
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #15: input, references = 13, size of lhs = 11:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V4,V5,V10), P_multiply-{F}(V1,V5,V7), P_multiply-{F}(V2,V5,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V7,V9,V10) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #16: input, references = 10, size of lhs = 2:
% 76.09/76.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #17: input, references = 4, size of lhs = 0:
% 76.09/76.29 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #18: input, references = 27, size of lhs = 2:
% 76.09/76.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #19: input, references = 11, size of lhs = 1:
% 76.09/76.29 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #20: input, references = 16, size of lhs = 3:
% 76.09/76.29 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #21: input, references = 7, size of lhs = 2:
% 76.09/76.29 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #22: input, references = 4, size of lhs = 0:
% 76.09/76.29 FALSE | EXISTS V0: P_x-{T}(V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #23: input, references = 5, size of lhs = 0:
% 76.09/76.29 FALSE | EXISTS V0: P_y-{T}(V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #24: input, references = 6, size of lhs = 0:
% 76.09/76.29 FALSE | EXISTS V0: P_z-{T}(V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 number of initial rules = 25
% 76.09/76.29
% 76.09/76.29 Simplifiers:
% 76.09/76.29 #25: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #26: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #27: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #28: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #29: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #30: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #31: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #32: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #33: unsound, references = 3, size of lhs = 3:
% 76.09/76.29 P_z-{F}(V0), P_z-{F}(V1), V0 == V1 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 number of simplifiers = 9
% 76.09/76.29
% 76.09/76.29 Learnt:
% 76.09/76.29 #36: exists( #16, #4 ), references = 4, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #37: exists( #16, #5 ), references = 7, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #39: exists( #21, #14 ), references = 1, size of lhs = 5:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #41: exists( #16, #1 ), references = 7, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #49: mergings( V2 == V0; #45 ), references = 1, size of lhs = 1:
% 76.09/76.29 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #55: exists( #16, #0 ), references = 19, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #56: exists( #16, #9 ), references = 6, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #57: exists( #16, #10 ), references = 2, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #61: exists( #18, #2 ), references = 4, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #62: exists( #18, #3 ), references = 2, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #63: exists( #18, #8 ), references = 5, size of lhs = 5:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #68: mergings( V1 == V2, V3 == V4; #65 ), references = 1, size of lhs = 5:
% 76.09/76.29 P_x-{F}(V0), P_y-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V0,V1,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #75: mergings( V2 == V3, V3 == V4; #72 ), references = 1, size of lhs = 8:
% 76.09/76.29 P_x-{F}(V0), P_z-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_multiply-{F}(V0,V0,V2), P_multiply-{F}(V1,V0,V3), P_additive_inverse-{F}(V3,V4), P_add-{F}(V2,V4,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #80: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #83: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #85: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #89: exists( #18, #7 ), references = 5, size of lhs = 5:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #91: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #97: mergings( V2 == V3; #95 ), references = 4, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #104: exists( #16, #8 ), references = 12, size of lhs = 5:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #108: mergings( V3 == V4; #106 ), references = 2, size of lhs = 9:
% 76.09/76.29 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-{F}(V7,V8,V9), P_add-{F}(V6,V9,V10), P_add-{F}(V5,V8,V11), V10 == V11 | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #117: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #112 ), references = 1, size of lhs = 8:
% 76.09/76.29 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V4,V5,V3), P_multiply-{F}(V6,V5,V0), P_add-{F}(V7,V4,V6), P_multiply-{F}(V7,V5,V8), P_add-{F}(V8,V0,V9) | P_commutator-{T}(V2,V1,V9)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #130: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #122 ), references = 1, size of lhs = 10:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V2), P_z-{F}(V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V4,V2,V0), P_add-{F}(V2,V2,V5), P_multiply-{F}(V5,V4,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #132: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #135: exists( #18, #11 ), references = 1, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #136: exists( #18, #12 ), references = 1, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #146: mergings( V2 == V3, V3 == V4; #143 ), references = 5, size of lhs = 3:
% 76.09/76.29 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #148: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #155: mergings( V3 == V4, V4 == V5; #152 ), references = 1, size of lhs = 9:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V2), P_z-{F}(V4), P_multiply-{F}(V1,V4,V0), P_add-{F}(V2,V2,V5), P_multiply-{F}(V5,V4,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #160: mergings( V3 == V4; #158 ), references = 3, size of lhs = 6:
% 76.09/76.29 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
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #169: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #180: mergings( V3 == V4; #177 ), references = 4, size of lhs = 4:
% 76.09/76.29 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V5) | P_multiply-{T}(V3,V2,V5)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #182: mergings( V3 == V4; #178 ), references = 6, size of lhs = 6:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #207: mergings( V3 == V4, V4 == V5, V5 == V6; #203 ), references = 1, size of lhs = 13:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V7,V5,V6), P_add-{F}(V4,V7,V8), P_multiply-{F}(V8,V5,V0), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V10,V9,V6) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #212: mergings( V3 == V4, V4 == V5, V5 == V6; #208 ), references = 2, size of lhs = 10:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V5,V2,V0), P_add-{F}(V4,V2,V6), P_multiply-{F}(V6,V5,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #229: mergings( V3 == V4, V4 == V5, V5 == V6; #225 ), references = 2, size of lhs = 13:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V7,V5,V6), P_add-{F}(V4,V7,V8), P_multiply-{F}(V8,V5,V0), P_add-{F}(V9,V6,V10), P_add-{F}(V11,V10,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #246: mergings( V3 == V4; #244 ), references = 1, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #256: mergings( V3 == V4; #254 ), references = 1, size of lhs = 15:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V0), P_multiply-{F}(V2,V5,V6), P_multiply-{F}(V7,V5,V6), P_add-{F}(V4,V7,V8), P_multiply-{F}(V8,V5,V0), P_multiply-{F}(V9,V10,V6), P_add-{F}(V11,V9,V12), P_multiply-{F}(V12,V10,V13), P_add-{F}(V14,V13,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #259: mergings( V3 == V4; #257 ), references = 2, size of lhs = 12:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V0), P_add-{F}(V4,V2,V6), P_multiply-{F}(V6,V5,V0), P_add-{F}(V7,V2,V8), P_multiply-{F}(V8,V5,V9), P_add-{F}(V10,V9,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #267: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7; #262 ), references = 2, size of lhs = 6:
% 76.09/76.29 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_z-{F}(V2), P_multiply-{F}(V0,V2,V0), P_add-{F}(V3,V0,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #270: exists( #24, #268 ), references = 1, size of lhs = 4:
% 76.09/76.29 P_x-{F}(V0), P_additive_identity-{F}(V0), P_y-{F}(V1), P_add-{F}(V2,V0,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #272: exists( #23, #269 ), references = 1, size of lhs = 3:
% 76.09/76.29 P_x-{F}(V0), P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #275: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #307: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #299 ), references = 1, size of lhs = 16:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V2,V1), P_z-{F}(V5), P_add-{F}(V6,V2,V1), P_add-{F}(V7,V0,V0), P_add-{F}(V8,V8,V5), P_multiply-{F}(V9,V8,V0), P_multiply-{F}(V10,V5,V0), P_add-{F}(V1,V11,V10), P_add-{F}(V9,V12,V11), P_add-{F}(V12,V11,V13), P_multiply-{F}(V13,V8,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #313: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #300 ), references = 1, size of lhs = 15:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_add-{F}(V4,V2,V1), P_z-{F}(V5), P_multiply-{F}(V5,V2,V0), P_add-{F}(V6,V6,V5), P_multiply-{F}(V7,V6,V0), P_multiply-{F}(V8,V5,V0), P_add-{F}(V1,V9,V8), P_add-{F}(V7,V10,V9), P_add-{F}(V10,V9,V11), P_multiply-{F}(V11,V6,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #319: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #301 ), references = 1, size of lhs = 16:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_add-{F}(V1,V4,V6), P_multiply-{F}(V6,V5,V7), P_multiply-{F}(V2,V5,V8), P_additive_inverse-{F}(V8,V9), P_add-{F}(V7,V9,V0), P_add-{F}(V10,V10,V5), P_multiply-{F}(V11,V10,V0), P_add-{F}(V11,V12,V4), P_add-{F}(V12,V4,V13), P_multiply-{F}(V13,V10,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #321: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #332: mergings( V3 == V4, V4 == V5, V5 == V6; #328 ), references = 2, size of lhs = 16:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V2,V5,V6), P_additive_inverse-{F}(V6,V7), P_add-{F}(V4,V1,V8), P_multiply-{F}(V8,V5,V9), P_add-{F}(V10,V10,V5), P_add-{F}(V1,V1,V11), P_multiply-{F}(V11,V10,V12), P_add-{F}(V12,V7,V13), P_add-{F}(V12,V14,V0), P_add-{F}(V9,V14,V13) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #340: mergings( V3 == V4, V4 == V5, V5 == V6; #336 ), references = 1, size of lhs = 14:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V2,V5,V6), P_additive_inverse-{F}(V6,V0), P_add-{F}(V4,V1,V7), P_multiply-{F}(V7,V5,V0), P_add-{F}(V8,V8,V5), P_add-{F}(V1,V1,V9), P_add-{F}(V9,V9,V10), P_multiply-{F}(V10,V8,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #346: exists( #18, #160 ), references = 2, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #348: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #350: exists( #18, #160 ), references = 1, size of lhs = 4:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #359: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #369: mergings( V3 == V4, V4 == V5, V5 == V6; #365 ), references = 1, size of lhs = 10:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V2,V5,V6), P_additive_inverse-{F}(V6,V0), P_multiply-{F}(V7,V5,V0), P_add-{F}(V7,V1,V4) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #376: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #371 ), references = 1, size of lhs = 8:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_z-{F}(V4), P_multiply-{F}(V3,V4,V0), P_multiply-{F}(V2,V4,V5), P_additive_inverse-{F}(V5,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #378: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #380: exists( #20, #13 ), references = 1, size of lhs = 7:
% 76.09/76.29 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)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #389: mergings( V3 == V4, V4 == V5; #386 ), references = 1, size of lhs = 12:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V2,V5,V7), P_additive_inverse-{F}(V7,V8), P_multiply-{F}(V9,V5,V8), P_multiply-{F}(V10,V5,V6), P_add-{F}(V9,V10,V4) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #393: mergings( V3 == V4, V4 == V5; #390 ), references = 2, size of lhs = 10:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V2,V5,V6), P_additive_inverse-{F}(V6,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V8,V1,V4) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #399: mergings( V3 == V4, V4 == V5, V5 == V6; #395 ), references = 4, size of lhs = 8:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_z-{F}(V4), P_multiply-{F}(V2,V4,V5), P_additive_inverse-{F}(V5,V6), P_multiply-{F}(V3,V4,V6) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #406: mergings( V3 == V4, V4 == V5; #403 ), references = 1, size of lhs = 7:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V2), P_z-{F}(V3), P_add-{F}(V2,V2,V4), P_multiply-{F}(V4,V3,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #446: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #441 ), references = 1, size of lhs = 11:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V3,V3,V4), P_z-{F}(V5), P_add-{F}(V6,V6,V5), P_multiply-{F}(V2,V5,V7), P_multiply-{F}(V8,V5,V7), P_add-{F}(V3,V8,V9), P_multiply-{F}(V9,V5,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #452: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #447 ), references = 1, size of lhs = 9:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V3,V3,V4), P_z-{F}(V5), P_add-{F}(V6,V6,V5), P_add-{F}(V3,V2,V7), P_multiply-{F}(V7,V5,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #460: mergings( V2 == V3; #458 ), references = 1, size of lhs = 5:
% 76.09/76.29 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
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #463: mergings( V3 == V4; #461 ), references = 1, size of lhs = 3:
% 76.09/76.29 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3), P_multiply-{F}(V2,V1,V3) | P_commutator-{T}(V2,V1,V0)
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #474: mergings( V2 == V3, V3 == V4; #470 ), references = 1, size of lhs = 9:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_z-{F}(V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V6,V4,V5), P_add-{F}(V3,V6,V7), P_multiply-{F}(V7,V4,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #477: mergings( V2 == V3, V3 == V4; #471 ), references = 1, size of lhs = 11:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_add-{F}(V1,V3,V4), P_z-{F}(V5), P_multiply-{F}(V2,V5,V6), P_add-{F}(V7,V1,V4), P_multiply-{F}(V8,V5,V6), P_add-{F}(V7,V8,V9), P_multiply-{F}(V9,V5,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #482: mergings( V3 == V4, V4 == V5; #478 ), references = 1, size of lhs = 7:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_additive_inverse-{F}(V2,V3), P_z-{F}(V4), P_add-{F}(V3,V2,V5), P_multiply-{F}(V5,V4,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #488: mergings( V2 == V3, V3 == V4, V4 == V5; #484 ), references = 2, size of lhs = 5:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_z-{F}(V3), P_multiply-{F}(V0,V3,V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #491: exists( #24, #489 ), references = 1, size of lhs = 3:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #493: exists( #23, #490 ), references = 1, size of lhs = 2:
% 76.09/76.29 P_additive_identity-{F}(V0), P_x-{F}(V1) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #495: exists( #22, #492 ), references = 1, size of lhs = 1:
% 76.09/76.29 P_additive_identity-{F}(V0) | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 #497: exists( #17, #494 ), references = 1, size of lhs = 0:
% 76.09/76.29 FALSE | FALSE
% 76.09/76.29 (used 0 times, uses = {})
% 76.09/76.29
% 76.09/76.29 number of learnt formulas = 73
% 76.09/76.29
% 76.09/76.29
% 76.09/76.29 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 76.09/76.29
% 76.09/76.29 randbase = 1
%------------------------------------------------------------------------------