TSTP Solution File: RNG023-6 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n009.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 122.64s 122.87s
% Output : Refutation 122.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG023-6 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n009.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 07:35:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 122.64/122.87 GeoParameters:
% 122.64/122.87
% 122.64/122.87 tptp_input = 1
% 122.64/122.87 tptp_output = 0
% 122.64/122.87 nonempty = 1
% 122.64/122.87 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 122.64/122.87 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 122.64/122.87
% 122.64/122.87
% 122.64/122.87 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 122.64/122.87 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 122.64/122.87
% 122.64/122.87 RuleSystem INPUT:
% 122.64/122.87
% 122.64/122.87 Initial Rules:
% 122.64/122.87 #0: input, references = 5, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #1: input, references = 4, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2), V2 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #2: input, references = 4, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V0,V1,V2), V2 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #3: input, references = 4, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V2), V2 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #4: input, references = 5, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #5: input, references = 4, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), V3 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #6: input, references = 3, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_additive_inverse-{F}(V2,V3), V3 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #7: input, references = 5, size of lhs = 7:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #8: input, references = 5, size of lhs = 7:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #9: input, references = 4, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3), P_add-{F}(V2,V1,V4), V3 == V4 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #10: input, references = 7, size of lhs = 6:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #11: input, references = 4, size of lhs = 6:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #12: input, references = 4, size of lhs = 6:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #13: input, references = 9, size of lhs = 9:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #14: input, references = 6, size of lhs = 7:
% 122.64/122.87 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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #15: input, references = 10, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V2), P_associator-{F}(V1,V1,V2,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #16: input, references = 11, size of lhs = 2:
% 122.64/122.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #17: input, references = 4, size of lhs = 0:
% 122.64/122.87 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #18: input, references = 29, size of lhs = 2:
% 122.64/122.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #19: input, references = 9, size of lhs = 1:
% 122.64/122.87 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #20: input, references = 13, size of lhs = 3:
% 122.64/122.87 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_associator-{T}(V0,V1,V2,V3)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #21: input, references = 5, size of lhs = 2:
% 122.64/122.87 #-{F} V0, #-{F} V1 | EXISTS V2: P_commutator-{T}(V0,V1,V2)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #22: input, references = 4, size of lhs = 0:
% 122.64/122.87 FALSE | EXISTS V0: P_x-{T}(V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #23: input, references = 4, size of lhs = 0:
% 122.64/122.87 FALSE | EXISTS V0: P_y-{T}(V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 number of initial rules = 24
% 122.64/122.87
% 122.64/122.87 Simplifiers:
% 122.64/122.87 #24: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #25: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #26: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #27: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #28: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_associator-{F}(V0,V1,V2,V3), P_associator-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #29: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_commutator-{F}(V0,V1,V2), P_commutator-{F}(V0,V1,V5), V2 == V5 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #30: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_x-{F}(V0), P_x-{F}(V1), V0 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #31: unsound, references = 3, size of lhs = 3:
% 122.64/122.87 P_y-{F}(V0), P_y-{F}(V1), V0 == V1 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 number of simplifiers = 8
% 122.64/122.87
% 122.64/122.87 Learnt:
% 122.64/122.87 #35: exists( #16, #1 ), references = 9, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V1,V0,V1)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #36: exists( #16, #14 ), references = 2, size of lhs = 5:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_multiply-{F}(V3,V4,V1), P_commutator-{F}(V3,V4,V5), P_multiply-{F}(V4,V3,V6) | P_add-{T}(V6,V2,V5)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #37: exists( #16, #13 ), references = 1, size of lhs = 7:
% 122.64/122.87 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_associator-{F}(V3,V5,V7,V8), P_multiply-{F}(V6,V7,V9) | P_add-{T}(V9,V2,V8)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #46: mergings( V0 == V2; #42 ), references = 1, size of lhs = 1:
% 122.64/122.87 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #48: mergings( V2 == V3; #43 ), references = 1, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_multiply-{F}(V2,V1,V3), P_commutator-{F}(V2,V1,V4) | P_additive_inverse-{T}(V3,V4)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #50: exists( #21, #14 ), references = 1, size of lhs = 5:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #52: exists( #18, #3 ), references = 3, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V1,V0,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #55: exists( #16, #4 ), references = 5, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #56: exists( #16, #5 ), references = 2, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V1,V2,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #60: exists( #16, #0 ), references = 16, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #61: exists( #16, #9 ), references = 12, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | P_add-{T}(V2,V1,V3)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #62: exists( #16, #10 ), references = 5, size of lhs = 4:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #66: exists( #18, #2 ), references = 15, size of lhs = 2:
% 122.64/122.87 P_additive_identity-{F}(V0), #-{F} V1 | P_multiply-{T}(V0,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #67: exists( #18, #11 ), references = 3, size of lhs = 4:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #68: exists( #18, #12 ), references = 3, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V1,V4,V5) | P_multiply-{T}(V2,V3,V5)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #71: exists( #20, #13 ), references = 2, size of lhs = 7:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #73: exists( #20, #13 ), references = 1, size of lhs = 7:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #81: mergings( V2 == V3, V3 == V4; #78 ), references = 3, size of lhs = 3:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_add-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #83: exists( #18, #7 ), references = 11, size of lhs = 5:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #95: exists( #16, #7 ), references = 14, size of lhs = 5:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #96: exists( #16, #8 ), references = 8, size of lhs = 5:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #103: mergings( V3 == V4, V4 == V5; #100 ), references = 6, size of lhs = 6:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #124: mergings( V3 == V4, V4 == V5, V5 == V6; #119 ), references = 5, size of lhs = 10:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V1), P_multiply-{F}(V4,V2,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
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #133: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #127 ), references = 3, size of lhs = 12:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V6,V9), P_multiply-{F}(V7,V1,V10), P_multiply-{F}(V7,V3,V10), P_add-{F}(V11,V7,V4), P_associator-{F}(V7,V3,V1,V12), V12 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #140: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #134 ), references = 1, size of lhs = 10:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V6,V9), P_multiply-{F}(V7,V1,V10), P_multiply-{F}(V7,V3,V10), P_add-{F}(V11,V7,V4) | P_associator-{T}(V7,V3,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #145: exists( #20, #13 ), references = 1, size of lhs = 7:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #146: exists( #20, #124 ), references = 2, size of lhs = 8:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V1), P_multiply-{F}(V4,V2,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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #147: exists( #20, #133 ), references = 1, size of lhs = 10:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V6,V9), P_multiply-{F}(V7,V1,V10), P_multiply-{F}(V7,V3,V10), P_add-{F}(V11,V7,V4) | P_associator-{T}(V7,V3,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #159: mergings( V3 == V4, V4 == V5; #156 ), references = 1, size of lhs = 8:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V7,V6,V5), P_commutator-{F}(V6,V7,V8), V8 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #163: mergings( V3 == V4, V4 == V5; #160 ), references = 1, size of lhs = 6:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V2), P_multiply-{F}(V1,V3,V5), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V7,V6,V5) | P_commutator-{T}(V6,V7,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #166: exists( #18, #8 ), references = 7, size of lhs = 5:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #168: exists( #18, #133 ), references = 2, size of lhs = 11:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V1,V9), P_multiply-{F}(V7,V3,V9), P_add-{F}(V10,V7,V4), P_associator-{F}(V7,V3,V1,V11), V11 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #170: exists( #20, #167 ), references = 1, size of lhs = 9:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V1,V9), P_multiply-{F}(V7,V3,V9), P_add-{F}(V10,V7,V4) | P_associator-{T}(V7,V3,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #176: mergings( V2 == V3; #174 ), references = 1, size of lhs = 5:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_add-{F}(V2,V1,V0), P_multiply-{F}(V1,V0,V3) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #180: mergings( V2 == V3; #178 ), references = 1, size of lhs = 4:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_y-{F}(V1), P_multiply-{F}(V1,V0,V2) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #228: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16; #214 ), references = 2, size of lhs = 31:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_add-{F}(V3,V5,V4), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V1,V6,V7), P_multiply-{F}(V6,V8,V7), P_multiply-{F}(V8,V8,V9), P_multiply-{F}(V10,V8,V4), P_add-{F}(V11,V11,V8), P_multiply-{F}(V12,V8,V4), P_multiply-{F}(V13,V8,V6), P_add-{F}(V12,V13,V4), P_multiply-{F}(V2,V14,V15), P_add-{F}(V16,V14,V17), P_add-{F}(V18,V16,V4), P_add-{F}(V6,V18,V19), P_add-{F}(V19,V17,V20), P_multiply-{F}(V19,V11,V21), P_multiply-{F}(V16,V11,V22), P_add-{F}(V21,V22,V23), P_add-{F}(V23,V23,V24), P_add-{F}(V24,V24,V25), P_add-{F}(V15,V25,V26), P_multiply-{F}(V27,V20,V0), P_add-{F}(V28,V2,V27), P_multiply-{F}(V2,V29,V30), P_multiply-{F}(V29,V31,V20), P_multiply-{F}(V30,V31,V26), P_associator-{F}(V2,V29,V31,V32), V32 == V0 | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #243: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17; #229 ), references = 1, size of lhs = 29:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_add-{F}(V3,V5,V4), P_multiply-{F}(V1,V5,V6), P_multiply-{F}(V1,V6,V7), P_multiply-{F}(V6,V8,V7), P_multiply-{F}(V8,V8,V9), P_multiply-{F}(V10,V8,V4), P_add-{F}(V11,V11,V8), P_multiply-{F}(V12,V8,V4), P_multiply-{F}(V13,V8,V6), P_add-{F}(V12,V13,V4), P_multiply-{F}(V2,V14,V15), P_add-{F}(V16,V14,V17), P_add-{F}(V18,V16,V4), P_add-{F}(V6,V18,V19), P_add-{F}(V19,V17,V20), P_multiply-{F}(V19,V11,V21), P_multiply-{F}(V16,V11,V22), P_add-{F}(V21,V22,V23), P_add-{F}(V23,V23,V24), P_add-{F}(V24,V24,V25), P_add-{F}(V15,V25,V26), P_multiply-{F}(V27,V20,V0), P_add-{F}(V28,V2,V27), P_multiply-{F}(V2,V29,V30), P_multiply-{F}(V29,V31,V20), P_multiply-{F}(V30,V31,V26) | P_associator-{T}(V2,V29,V31,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #266: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #259 ), references = 1, size of lhs = 15:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V4,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V6,V4,V7), P_multiply-{F}(V8,V9,V2), P_multiply-{F}(V9,V3,V10), P_associator-{F}(V8,V9,V3,V11), V11 == V0, P_multiply-{F}(V8,V12,V7), P_add-{F}(V10,V12,V13), P_multiply-{F}(V8,V13,V0), P_multiply-{F}(V14,V10,V0), P_add-{F}(V15,V8,V14) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #273: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #260 ), references = 1, size of lhs = 36:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V0), P_add-{F}(V2,V2,V1), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V7,V6,V0), P_add-{F}(V3,V8,V7), P_multiply-{F}(V8,V6,V9), P_add-{F}(V10,V10,V11), P_multiply-{F}(V11,V12,V4), P_multiply-{F}(V12,V5,V13), P_associator-{F}(V11,V12,V5,V14), V14 == V0, P_multiply-{F}(V11,V15,V9), P_multiply-{F}(V16,V13,V0), P_add-{F}(V17,V11,V16), P_multiply-{F}(V11,V18,V0), P_add-{F}(V19,V15,V18), P_multiply-{F}(V10,V20,V21), P_add-{F}(V20,V22,V21), P_multiply-{F}(V10,V22,V23), P_multiply-{F}(V10,V23,V24), P_multiply-{F}(V23,V25,V24), P_multiply-{F}(V25,V25,V26), P_multiply-{F}(V27,V25,V21), P_add-{F}(V28,V28,V25), P_multiply-{F}(V29,V25,V21), P_multiply-{F}(V30,V25,V23), P_add-{F}(V29,V30,V21), P_add-{F}(V31,V19,V32), P_add-{F}(V33,V31,V21), P_add-{F}(V23,V33,V34), P_add-{F}(V34,V32,V13), P_multiply-{F}(V34,V28,V35), P_multiply-{F}(V31,V28,V36), P_add-{F}(V35,V36,V2) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #281: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #274 ), references = 3, size of lhs = 13:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V4,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V6,V7,V2), P_multiply-{F}(V7,V3,V8), P_associator-{F}(V6,V7,V3,V9), V9 == V0, P_add-{F}(V8,V4,V10), P_multiply-{F}(V6,V10,V0), P_multiply-{F}(V11,V8,V0), P_add-{F}(V12,V6,V11) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #288: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #275 ), references = 2, size of lhs = 34:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V0), P_add-{F}(V2,V2,V1), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V7,V6,V0), P_add-{F}(V3,V8,V7), P_add-{F}(V9,V9,V8), P_multiply-{F}(V8,V10,V4), P_multiply-{F}(V10,V5,V11), P_associator-{F}(V8,V10,V5,V12), V12 == V0, P_multiply-{F}(V13,V11,V0), P_add-{F}(V14,V8,V13), P_multiply-{F}(V8,V15,V0), P_add-{F}(V16,V6,V15), P_multiply-{F}(V9,V17,V18), P_add-{F}(V17,V19,V18), P_multiply-{F}(V9,V19,V20), P_multiply-{F}(V9,V20,V21), P_multiply-{F}(V20,V22,V21), P_multiply-{F}(V22,V22,V23), P_multiply-{F}(V24,V22,V18), P_add-{F}(V25,V25,V22), P_multiply-{F}(V26,V22,V18), P_multiply-{F}(V27,V22,V20), P_add-{F}(V26,V27,V18), P_add-{F}(V28,V16,V29), P_add-{F}(V30,V28,V18), P_add-{F}(V20,V30,V31), P_add-{F}(V31,V29,V11), P_multiply-{F}(V31,V25,V32), P_multiply-{F}(V28,V25,V33), P_add-{F}(V32,V33,V2) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #296: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #289 ), references = 2, size of lhs = 11:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V4,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V6,V7,V2), P_multiply-{F}(V7,V3,V8), P_add-{F}(V8,V4,V9), P_multiply-{F}(V6,V9,V0), P_multiply-{F}(V10,V8,V0), P_add-{F}(V11,V6,V10) | P_associator-{T}(V6,V7,V3,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #303: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #290 ), references = 1, size of lhs = 32:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V0), P_add-{F}(V2,V2,V1), P_multiply-{F}(V3,V3,V4), P_multiply-{F}(V3,V5,V6), P_multiply-{F}(V7,V6,V0), P_add-{F}(V3,V8,V7), P_add-{F}(V9,V9,V8), P_multiply-{F}(V8,V10,V4), P_multiply-{F}(V10,V5,V11), P_multiply-{F}(V12,V11,V0), P_add-{F}(V13,V8,V12), P_multiply-{F}(V8,V14,V0), P_add-{F}(V15,V6,V14), P_multiply-{F}(V9,V16,V17), P_add-{F}(V16,V18,V17), P_multiply-{F}(V9,V18,V19), P_multiply-{F}(V9,V19,V20), P_multiply-{F}(V19,V21,V20), P_multiply-{F}(V21,V21,V22), P_multiply-{F}(V23,V21,V17), P_add-{F}(V24,V24,V21), P_multiply-{F}(V25,V21,V17), P_multiply-{F}(V26,V21,V19), P_add-{F}(V25,V26,V17), P_add-{F}(V27,V15,V28), P_add-{F}(V29,V27,V17), P_add-{F}(V19,V29,V30), P_add-{F}(V30,V28,V11), P_multiply-{F}(V30,V24,V31), P_multiply-{F}(V27,V24,V32), P_add-{F}(V31,V32,V2) | P_associator-{T}(V8,V10,V5,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #324: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #312 ), references = 1, size of lhs = 19:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V5,V3), P_multiply-{F}(V6,V5,V2), P_add-{F}(V7,V6,V3), P_multiply-{F}(V7,V5,V8), P_add-{F}(V9,V1,V0), P_multiply-{F}(V1,V10,V2), P_add-{F}(V10,V3,V11), P_multiply-{F}(V1,V11,V12), P_multiply-{F}(V1,V12,V0), P_add-{F}(V8,V12,V2), P_multiply-{F}(V1,V13,V8), P_multiply-{F}(V1,V14,V2), P_add-{F}(V13,V14,V3) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #340: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #327 ), references = 1, size of lhs = 9:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_add-{F}(V2,V1,V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V1,V0), P_add-{F}(V1,V2,V4), P_multiply-{F}(V1,V4,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #344: exists( #20, #13 ), references = 1, size of lhs = 7:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #345: exists( #20, #124 ), references = 1, size of lhs = 8:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V0), P_add-{F}(V3,V4,V1), P_multiply-{F}(V4,V2,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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #346: exists( #20, #168 ), references = 1, size of lhs = 9:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2), P_multiply-{F}(V3,V1,V2), P_multiply-{F}(V4,V2,V0), P_add-{F}(V5,V6,V2), P_multiply-{F}(V7,V5,V8), P_multiply-{F}(V7,V1,V9), P_multiply-{F}(V7,V3,V9), P_add-{F}(V10,V7,V4) | P_associator-{T}(V7,V3,V1,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #368: mergings( V3 == V4, V4 == V5; #365 ), references = 7, size of lhs = 6:
% 122.64/122.87 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)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #384: mergings( V13 == V14, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #376 ), references = 2, size of lhs = 15:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V0), P_multiply-{F}(V4,V3,V5), P_add-{F}(V5,V2,V2), P_multiply-{F}(V1,V6,V2), P_add-{F}(V3,V6,V7), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V1,V0), P_add-{F}(V9,V2,V10), P_add-{F}(V11,V10,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #394: mergings( V3 == V4; #392 ), references = 1, size of lhs = 17:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V2,V0), P_multiply-{F}(V4,V3,V5), P_add-{F}(V5,V2,V2), P_multiply-{F}(V1,V6,V2), P_add-{F}(V3,V6,V7), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V1,V0), P_multiply-{F}(V9,V10,V2), P_add-{F}(V11,V10,V12), P_multiply-{F}(V9,V12,V13), P_add-{F}(V14,V13,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #401: mergings( V4 == V6, V2 == V3, V3 == V6; #397 ), references = 1, size of lhs = 10:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_add-{F}(V2,V1,V0), P_add-{F}(V3,V1,V0), P_add-{F}(V4,V1,V5), P_multiply-{F}(V1,V5,V6), P_add-{F}(V7,V6,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #421: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #416 ), references = 1, size of lhs = 17:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V5,V3,V4), P_add-{F}(V1,V5,V6), P_multiply-{F}(V6,V3,V0), P_multiply-{F}(V7,V8,V4), P_multiply-{F}(V7,V9,V0), P_add-{F}(V10,V8,V9), P_add-{F}(V11,V12,V7), P_multiply-{F}(V11,V10,V13), P_multiply-{F}(V12,V10,V14), P_multiply-{F}(V1,V13,V15), P_multiply-{F}(V1,V14,V16), P_add-{F}(V15,V16,V4) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #444: mergings( V3 == V4, V4 == V5; #441 ), references = 2, size of lhs = 13:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V1,V3,V4), P_multiply-{F}(V5,V4,V0), P_add-{F}(V6,V1,V5), P_add-{F}(V7,V8,V4), P_multiply-{F}(V1,V7,V9), P_multiply-{F}(V1,V8,V10), P_multiply-{F}(V2,V11,V9), P_multiply-{F}(V2,V12,V10), P_add-{F}(V11,V12,V3) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #453: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6; #448 ), references = 1, size of lhs = 12:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V4,V4,V3), P_add-{F}(V5,V1,V0), P_multiply-{F}(V1,V6,V3), P_add-{F}(V6,V7,V3), P_multiply-{F}(V1,V7,V3), P_multiply-{F}(V8,V4,V3), P_add-{F}(V8,V9,V2), P_multiply-{F}(V9,V4,V3) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #470: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #465 ), references = 2, size of lhs = 21:
% 122.64/122.87 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}(V8,V7,V0), P_add-{F}(V9,V6,V8), P_add-{F}(V9,V7,V10), P_multiply-{F}(V9,V10,V11), P_add-{F}(V11,V5,V12), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V15,V14,V0), P_add-{F}(V9,V16,V15), P_multiply-{F}(V16,V17,V12), P_multiply-{F}(V17,V13,V18), P_associator-{F}(V16,V17,V13,V19), V19 == V0, P_add-{F}(V18,V14,V20), P_multiply-{F}(V16,V20,V0), P_multiply-{F}(V21,V18,V0), P_add-{F}(V22,V16,V21) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #476: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #471 ), references = 1, size of lhs = 19:
% 122.64/122.87 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}(V8,V7,V0), P_add-{F}(V9,V6,V8), P_add-{F}(V9,V7,V10), P_multiply-{F}(V9,V10,V11), P_add-{F}(V11,V5,V12), P_multiply-{F}(V9,V13,V14), P_multiply-{F}(V15,V14,V0), P_add-{F}(V9,V16,V15), P_multiply-{F}(V16,V17,V12), P_multiply-{F}(V17,V13,V18), P_add-{F}(V18,V14,V19), P_multiply-{F}(V16,V19,V0), P_multiply-{F}(V20,V18,V0), P_add-{F}(V21,V16,V20) | P_associator-{T}(V16,V17,V13,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #491: mergings( V10 == V14, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V14; #482 ), references = 1, size of lhs = 19:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V1,V0), P_add-{F}(V5,V1,V0), P_add-{F}(V3,V3,V6), P_multiply-{F}(V1,V6,V0), P_add-{F}(V5,V7,V8), P_multiply-{F}(V8,V9,V0), P_multiply-{F}(V7,V9,V10), P_add-{F}(V5,V9,V11), P_multiply-{F}(V5,V11,V12), P_add-{F}(V12,V10,V2), P_multiply-{F}(V13,V14,V10), P_multiply-{F}(V13,V15,V0), P_add-{F}(V16,V14,V15) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #504: mergings( V3 == V4; #502 ), references = 1, size of lhs = 13:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V4,V1,V0), P_multiply-{F}(V2,V5,V6), P_add-{F}(V5,V7,V3), P_multiply-{F}(V2,V7,V8), P_multiply-{F}(V1,V9,V6), P_multiply-{F}(V1,V10,V9), P_add-{F}(V10,V11,V3), P_multiply-{F}(V1,V11,V12), P_multiply-{F}(V1,V12,V8) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #511: mergings( V3 == V4, V4 == V5, V5 == V6; #507 ), references = 1, size of lhs = 15:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_add-{F}(V4,V1,V0), P_add-{F}(V5,V5,V3), P_add-{F}(V6,V7,V2), P_multiply-{F}(V6,V5,V8), P_multiply-{F}(V7,V5,V9), P_multiply-{F}(V1,V10,V8), P_multiply-{F}(V1,V11,V9), P_add-{F}(V10,V11,V12), P_multiply-{F}(V1,V13,V12), P_add-{F}(V13,V14,V3), P_multiply-{F}(V1,V14,V12) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #553: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #546 ), references = 1, size of lhs = 24:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_add-{F}(V2,V1,V0), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V6,V8,V0), P_add-{F}(V9,V7,V8), P_multiply-{F}(V10,V11,V5), P_add-{F}(V2,V10,V12), P_multiply-{F}(V12,V11,V0), P_multiply-{F}(V13,V11,V5), P_multiply-{F}(V1,V13,V14), P_associator-{F}(V1,V13,V11,V15), V15 == V0, P_add-{F}(V2,V16,V17), P_multiply-{F}(V17,V18,V0), P_multiply-{F}(V16,V18,V19), P_add-{F}(V2,V18,V20), P_multiply-{F}(V2,V20,V21), P_add-{F}(V21,V19,V14), P_multiply-{F}(V22,V23,V19), P_multiply-{F}(V22,V24,V0), P_add-{F}(V25,V23,V24) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #558: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #547 ), references = 1, size of lhs = 16:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_add-{F}(V2,V1,V0), P_multiply-{F}(V2,V2,V3), P_multiply-{F}(V1,V4,V3), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V7,V5,V6), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V5,V0), P_associator-{F}(V1,V4,V5,V9), V9 == V0, P_multiply-{F}(V10,V6,V0), P_add-{F}(V11,V1,V10), P_multiply-{F}(V12,V13,V6), P_multiply-{F}(V12,V14,V0), P_add-{F}(V15,V13,V14) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #563: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #548 ), references = 1, size of lhs = 37:
% 122.64/122.87 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V0), P_add-{F}(V2,V2,V1), P_multiply-{F}(V3,V0,V0), P_add-{F}(V4,V4,V3), P_add-{F}(V5,V3,V0), P_multiply-{F}(V5,V5,V6), P_multiply-{F}(V3,V7,V6), P_add-{F}(V5,V8,V9), P_multiply-{F}(V9,V10,V0), P_multiply-{F}(V8,V10,V11), P_multiply-{F}(V7,V10,V12), P_associator-{F}(V3,V7,V10,V13), V13 == V0, P_multiply-{F}(V14,V12,V0), P_add-{F}(V15,V3,V14), P_multiply-{F}(V16,V17,V11), P_multiply-{F}(V16,V18,V0), P_add-{F}(V19,V17,V18), P_multiply-{F}(V4,V20,V21), P_add-{F}(V20,V22,V21), P_multiply-{F}(V4,V22,V23), P_multiply-{F}(V4,V23,V24), P_multiply-{F}(V23,V25,V24), P_multiply-{F}(V25,V25,V26), P_multiply-{F}(V27,V25,V21), P_add-{F}(V28,V28,V25), P_multiply-{F}(V29,V25,V21), P_multiply-{F}(V30,V25,V23), P_add-{F}(V29,V30,V21), P_add-{F}(V31,V11,V32), P_add-{F}(V33,V31,V21), P_add-{F}(V23,V33,V34), P_add-{F}(V34,V32,V12), P_multiply-{F}(V34,V28,V35), P_multiply-{F}(V31,V28,V36), P_add-{F}(V35,V36,V2) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #571: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V8; #564 ), references = 1, size of lhs = 22:
% 122.64/122.87 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V0,V0), P_add-{F}(V2,V1,V0), P_add-{F}(V3,V1,V4), P_multiply-{F}(V4,V5,V0), P_multiply-{F}(V6,V7,V5), P_multiply-{F}(V6,V8,V0), P_add-{F}(V9,V7,V8), P_multiply-{F}(V10,V11,V5), P_add-{F}(V2,V10,V12), P_multiply-{F}(V12,V11,V0), P_multiply-{F}(V13,V11,V5), P_multiply-{F}(V1,V13,V14), P_add-{F}(V2,V15,V16), P_multiply-{F}(V16,V17,V0), P_multiply-{F}(V15,V17,V18), P_add-{F}(V2,V17,V19), P_multiply-{F}(V2,V19,V20), P_add-{F}(V20,V18,V14), P_multiply-{F}(V21,V22,V18), P_multiply-{F}(V21,V23,V0), P_add-{F}(V24,V22,V23) | P_associator-{T}(V1,V13,V11,V0)
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #584: mergings( V9 == V12, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V12; #576 ), references = 2, size of lhs = 25:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V1,V0), P_add-{F}(V5,V1,V0), P_add-{F}(V4,V6,V7), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V6,V8,V9), P_add-{F}(V4,V8,V10), P_multiply-{F}(V4,V10,V11), P_add-{F}(V11,V9,V2), P_multiply-{F}(V12,V13,V9), P_multiply-{F}(V12,V14,V0), P_add-{F}(V15,V13,V14), P_add-{F}(V16,V17,V3), P_multiply-{F}(V1,V16,V18), P_multiply-{F}(V1,V17,V19), P_multiply-{F}(V20,V21,V18), P_multiply-{F}(V22,V21,V19), P_add-{F}(V20,V22,V23), P_multiply-{F}(V23,V24,V0), P_add-{F}(V25,V21,V24) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #598: mergings( V9 == V12, V11 == V18, V12 == V14, V14 == V15, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V15; #586 ), references = 1, size of lhs = 14:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V1,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_add-{F}(V1,V1,V2), P_add-{F}(V3,V1,V0), P_multiply-{F}(V4,V0,V0), P_add-{F}(V4,V1,V0), P_multiply-{F}(V1,V5,V0), P_add-{F}(V6,V1,V5), P_multiply-{F}(V2,V7,V0), P_add-{F}(V8,V1,V7) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #608: exists( #18, #584 ), references = 1, size of lhs = 23:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V1,V0), P_add-{F}(V5,V1,V0), P_add-{F}(V4,V6,V7), P_multiply-{F}(V7,V8,V0), P_multiply-{F}(V6,V8,V9), P_add-{F}(V4,V8,V10), P_multiply-{F}(V4,V10,V11), P_add-{F}(V11,V9,V2), P_multiply-{F}(V12,V13,V9), P_multiply-{F}(V12,V14,V0), P_add-{F}(V15,V13,V14), P_add-{F}(V16,V17,V3), P_multiply-{F}(V1,V17,V18), P_multiply-{F}(V19,V16,V18), P_add-{F}(V1,V19,V20), P_multiply-{F}(V20,V21,V0), P_add-{F}(V22,V16,V21) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #612: mergings( V2 == V3; #610 ), references = 2, size of lhs = 22:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V1,V1,V2), P_y-{F}(V3), P_multiply-{F}(V0,V3,V0), P_add-{F}(V4,V1,V0), P_add-{F}(V5,V1,V0), P_multiply-{F}(V6,V0,V0), P_add-{F}(V1,V7,V6), P_add-{F}(V8,V9,V3), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V7,V8,V10), P_add-{F}(V4,V11,V12), P_multiply-{F}(V12,V13,V0), P_multiply-{F}(V11,V13,V14), P_add-{F}(V4,V13,V15), P_multiply-{F}(V4,V15,V16), P_add-{F}(V16,V14,V2), P_multiply-{F}(V17,V18,V14), P_multiply-{F}(V17,V19,V0), P_add-{F}(V20,V18,V19) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #619: mergings( V3 == V9, V9 == V10, V2 == V10; #615 ), references = 1, size of lhs = 16:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V1,V0,V0), P_multiply-{F}(V0,V1,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_add-{F}(V3,V1,V0), P_multiply-{F}(V4,V0,V0), P_add-{F}(V4,V1,V0), P_multiply-{F}(V5,V0,V0), P_add-{F}(V1,V6,V5), P_multiply-{F}(V1,V7,V0), P_add-{F}(V8,V1,V7), P_add-{F}(V9,V10,V2), P_multiply-{F}(V1,V10,V11), P_multiply-{F}(V6,V9,V11) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #623: exists( #19, #621 ), references = 1, size of lhs = 11:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V0,V1,V0), P_multiply-{F}(V1,V0,V0), P_y-{F}(V2), P_multiply-{F}(V0,V2,V0), P_multiply-{F}(V3,V0,V0), P_add-{F}(V1,V4,V3), P_add-{F}(V5,V6,V2), P_multiply-{F}(V1,V6,V7), P_multiply-{F}(V4,V5,V7) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #628: mergings( V1 == V2; #626 ), references = 2, size of lhs = 6:
% 122.64/122.87 P_additive_identity-{F}(V0), P_x-{F}(V1), P_multiply-{F}(V0,V1,V0), P_multiply-{F}(V1,V0,V0), P_add-{F}(V1,V0,V2), P_multiply-{F}(V2,V0,V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #633: exists( #22, #631 ), references = 1, size of lhs = 1:
% 122.64/122.87 P_additive_identity-{F}(V0) | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 #635: exists( #17, #632 ), references = 1, size of lhs = 0:
% 122.64/122.87 FALSE | FALSE
% 122.64/122.87 (used 0 times, uses = {})
% 122.64/122.87
% 122.64/122.87 number of learnt formulas = 73
% 122.64/122.87
% 122.64/122.87
% 122.64/122.87 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 122.64/122.87
% 122.64/122.87 randbase = 1
%------------------------------------------------------------------------------