TSTP Solution File: RNG008-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n010.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 06:14:52 EDT 2022
% Result : Unsatisfiable 3.50s 3.73s
% Output : Refutation 3.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : RNG008-3 : TPTP v8.1.0. Released v1.0.0.
% 0.04/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.34 % Computer : n010.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Fri Jul 22 07:37:41 EDT 2022
% 0.13/0.34 % CPUTime :
% 3.50/3.73 GeoParameters:
% 3.50/3.73
% 3.50/3.73 tptp_input = 1
% 3.50/3.73 tptp_output = 0
% 3.50/3.73 nonempty = 1
% 3.50/3.73 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.73 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 3.50/3.73
% 3.50/3.73
% 3.50/3.73 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.73 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.73
% 3.50/3.73 RuleSystem INPUT:
% 3.50/3.73
% 3.50/3.73 Initial Rules:
% 3.50/3.73 #0: input, references = 4, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), V2 == V1 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #1: input, references = 4, size of lhs = 4:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V2,V1,V3), V3 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #2: input, references = 6, size of lhs = 7:
% 3.50/3.73 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
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #3: input, references = 5, size of lhs = 7:
% 3.50/3.73 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
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #4: input, references = 4, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), V1 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #5: input, references = 5, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_additive_inverse-{F}(V3,V4), V4 == V2 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #6: input, references = 5, size of lhs = 4:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), V3 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #7: input, references = 4, size of lhs = 4:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), V3 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #8: input, references = 4, size of lhs = 8:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_additive_inverse-{F}(V4,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_add-{F}(V6,V7,V8), V5 == V8 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #9: input, references = 4, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V3,V4), P_multiply-{F}(V2,V4,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), V5 == V7 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #10: input, references = 4, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V2,V3,V6), P_additive_inverse-{F}(V6,V7), V5 == V7 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #11: input, references = 4, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V5), P_add-{F}(V5,V4,V6), P_add-{F}(V3,V4,V7), P_add-{F}(V2,V7,V8), V6 == V8 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #12: input, references = 4, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_add-{F}(V3,V2,V5), V4 == V5 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #13: input, references = 4, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V5), P_multiply-{F}(V5,V4,V6), P_multiply-{F}(V3,V4,V7), P_multiply-{F}(V2,V7,V8), V6 == V8 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #14: input, references = 4, size of lhs = 4:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V0,V3), V3 == V2 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #15: input, references = 4, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_add-{F}(V2,V3,V4), V4 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #16: input, references = 4, size of lhs = 4:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V3), V3 == V2 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #17: input, references = 5, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), V4 == V5 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #18: input, references = 7, size of lhs = 7:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V2,V5) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #19: input, references = 12, size of lhs = 2:
% 3.50/3.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #20: input, references = 4, size of lhs = 0:
% 3.50/3.73 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #21: input, references = 7, size of lhs = 1:
% 3.50/3.73 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #22: input, references = 12, size of lhs = 2:
% 3.50/3.73 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #23: input, references = 4, size of lhs = 0:
% 3.50/3.73 FALSE | EXISTS V0: P_a-{T}(V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #24: input, references = 5, size of lhs = 0:
% 3.50/3.73 FALSE | EXISTS V0: P_b-{T}(V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #25: input, references = 6, size of lhs = 0:
% 3.50/3.73 FALSE | EXISTS V0: P_c-{T}(V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 number of initial rules = 26
% 3.50/3.73
% 3.50/3.73 Simplifiers:
% 3.50/3.73 #26: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #27: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #28: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #29: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #30: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #31: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #32: unsound, references = 3, size of lhs = 3:
% 3.50/3.73 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 number of simplifiers = 7
% 3.50/3.73
% 3.50/3.73 Learnt:
% 3.50/3.73 #34: exists( #19, #1 ), references = 9, size of lhs = 2:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | P_add-{T}(V2,V1,V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #37: exists( #21, #4 ), references = 1, size of lhs = 1:
% 3.50/3.73 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #38: exists( #21, #8 ), references = 1, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V0), P_additive_inverse-{F}(V1,V3), P_additive_inverse-{F}(V2,V4), P_add-{F}(V3,V4,V5) | P_additive_inverse-{T}(V0,V5)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #40: exists( #22, #16 ), references = 22, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V2,V2,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #42: exists( #22, #7 ), references = 2, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V0,V2,V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #45: exists( #19, #15 ), references = 2, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3) | P_add-{T}(V2,V3,V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #47: exists( #22, #18 ), references = 3, size of lhs = 6:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V2,V4) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #49: exists( #22, #17 ), references = 4, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | P_multiply-{T}(V2,V3,V4)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #54: mergings( V1 == V4, V2 == V5; #51 ), references = 1, size of lhs = 4:
% 3.50/3.73 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V2) | P_c-{T}(V1)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #59: exists( #19, #14 ), references = 11, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_add-{T}(V2,V0,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #61: exists( #25, #17 ), references = 2, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4) | P_c-{T}(V4)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #67: exists( #19, #0 ), references = 7, size of lhs = 2:
% 3.50/3.73 P_additive_identity-{F}(V0), #-{F} V1 | P_add-{T}(V0,V1,V1)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #68: exists( #19, #12 ), references = 26, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4) | P_add-{T}(V3,V2,V4)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #69: exists( #19, #11 ), references = 20, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V3,V4), P_add-{F}(V3,V5,V6), P_add-{F}(V2,V6,V7) | P_add-{T}(V4,V5,V7)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #72: exists( #22, #6 ), references = 3, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), #-{F} V2 | P_multiply-{T}(V2,V0,V0)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #89: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V5, V5 == V7; #82 ), references = 1, size of lhs = 3:
% 3.50/3.73 P_a-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #94: exists( #22, #9 ), references = 3, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_additive_inverse-{F}(V5,V6) | P_multiply-{T}(V4,V3,V6)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #106: mergings( V2 == V4, V4 == V6, V3 == V5; #102 ), references = 1, size of lhs = 8:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V4,V6,V5), P_add-{F}(V6,V3,V7), P_multiply-{F}(V4,V7,V8), V8 == V0 | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #111: exists( #21, #5 ), references = 1, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3) | P_additive_inverse-{T}(V3,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #112: exists( #21, #10 ), references = 1, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V2,V3), P_multiply-{F}(V3,V4,V5), P_multiply-{F}(V2,V4,V6) | P_additive_inverse-{T}(V6,V5)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #132: mergings( V2 == V4, V4 == V6, V6 == V8, V3 == V5, V5 == V7, V7 == V9; #123 ), references = 9, size of lhs = 3:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2) | P_additive_inverse-{T}(V2,V2)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #147: exists( #22, #2 ), references = 9, size of lhs = 5:
% 3.50/3.73 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)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #148: exists( #22, #3 ), references = 12, size of lhs = 5:
% 3.50/3.73 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)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #191: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V22; #171 ), references = 3, size of lhs = 13:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_add-{F}(V5,V0,V4), P_multiply-{F}(V3,V6,V5), P_multiply-{F}(V7,V8,V8), P_add-{F}(V8,V7,V9), P_multiply-{F}(V7,V10,V10), P_add-{F}(V10,V9,V3), P_add-{F}(V10,V6,V11), P_add-{F}(V8,V11,V2) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #210: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V21, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V22; #172 ), references = 2, size of lhs = 14:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_add-{F}(V6,V0,V5), P_multiply-{F}(V3,V7,V6), P_multiply-{F}(V8,V9,V9), P_add-{F}(V9,V8,V10), P_multiply-{F}(V8,V11,V11), P_add-{F}(V11,V10,V3), P_add-{F}(V11,V7,V12), P_add-{F}(V9,V12,V2) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #242: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #227 ), references = 1, size of lhs = 14:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V0,V5), P_add-{F}(V5,V0,V4), P_add-{F}(V6,V2,V7), P_add-{F}(V8,V7,V3), P_add-{F}(V6,V9,V2), P_add-{F}(V8,V10,V9), P_multiply-{F}(V6,V10,V11), P_multiply-{F}(V8,V10,V12), P_add-{F}(V11,V12,V10) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #256: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V16, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V17; #228 ), references = 1, size of lhs = 15:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V2,V3,V4), P_c-{F}(V5), P_multiply-{F}(V3,V0,V6), P_add-{F}(V6,V0,V5), P_add-{F}(V7,V2,V8), P_add-{F}(V9,V8,V3), P_add-{F}(V7,V10,V2), P_add-{F}(V9,V11,V10), P_multiply-{F}(V7,V11,V12), P_multiply-{F}(V9,V11,V13), P_add-{F}(V12,V13,V11) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #266: exists( #22, #13 ), references = 7, size of lhs = 5:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V3,V4), P_multiply-{F}(V4,V5,V6), P_multiply-{F}(V3,V5,V7) | P_multiply-{T}(V2,V7,V6)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #315: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V21, V21 == V22, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V18, V18 == V20; #295 ), references = 1, size of lhs = 14:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V6,V2), P_add-{F}(V2,V7,V8), P_multiply-{F}(V8,V4,V9), P_multiply-{F}(V7,V4,V10), P_add-{F}(V0,V10,V11), V9 == V11, P_add-{F}(V12,V3,V13), P_multiply-{F}(V5,V14,V12), P_multiply-{F}(V6,V14,V15), P_add-{F}(V15,V13,V14) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #337: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V24, V24 == V25, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V23; #296 ), references = 1, size of lhs = 16:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V4,V2,V5), P_multiply-{F}(V6,V4,V7), P_add-{F}(V8,V7,V0), P_multiply-{F}(V6,V9,V8), P_add-{F}(V9,V5,V10), P_multiply-{F}(V11,V10,V10), P_multiply-{F}(V11,V3,V12), V12 == V3, P_add-{F}(V13,V6,V11), P_multiply-{F}(V13,V14,V14), P_add-{F}(V15,V16,V14), P_multiply-{F}(V15,V17,V4), P_multiply-{F}(V16,V17,V9) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #402: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V37, V37 == V39, V39 == V41, V41 == V42, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V38, V38 == V40; #362 ), references = 1, size of lhs = 25:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V6,V2), P_add-{F}(V2,V7,V8), P_multiply-{F}(V7,V4,V9), P_add-{F}(V0,V9,V10), P_multiply-{F}(V8,V11,V12), P_multiply-{F}(V11,V13,V4), P_add-{F}(V14,V15,V4), P_multiply-{F}(V14,V16,V17), P_add-{F}(V14,V16,V18), P_add-{F}(V19,V17,V0), P_multiply-{F}(V20,V16,V19), P_add-{F}(V20,V18,V21), P_multiply-{F}(V22,V21,V22), P_add-{F}(V20,V22,V15), P_multiply-{F}(V13,V21,V23), P_multiply-{F}(V12,V23,V24), V24 == V10, P_add-{F}(V25,V3,V26), P_multiply-{F}(V5,V27,V25), P_multiply-{F}(V6,V27,V28), P_add-{F}(V28,V26,V27) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #444: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V45, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V41, V41 == V43; #363 ), references = 1, size of lhs = 27:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_multiply-{F}(V4,V5,V3), P_add-{F}(V6,V7,V3), P_multiply-{F}(V6,V8,V9), P_add-{F}(V6,V8,V10), P_add-{F}(V11,V9,V0), P_multiply-{F}(V12,V8,V11), P_add-{F}(V12,V10,V13), P_multiply-{F}(V14,V13,V14), P_add-{F}(V12,V14,V7), P_multiply-{F}(V5,V13,V15), P_multiply-{F}(V16,V17,V17), P_add-{F}(V16,V18,V19), P_multiply-{F}(V19,V4,V20), P_multiply-{F}(V20,V15,V21), V21 == V3, P_multiply-{F}(V19,V22,V22), P_add-{F}(V23,V24,V17), P_multiply-{F}(V23,V25,V26), P_add-{F}(V26,V2,V27), P_multiply-{F}(V18,V26,V28), P_multiply-{F}(V24,V25,V29), P_add-{F}(V29,V27,V22), P_multiply-{F}(V18,V29,V30), P_add-{F}(V30,V28,V0) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #489: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V44, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V35, V35 == V37, V37 == V40, V40 == V42; #447 ), references = 1, size of lhs = 21:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_multiply-{F}(V2,V2,V2), P_add-{F}(V3,V0,V4), P_add-{F}(V5,V6,V2), P_add-{F}(V2,V7,V8), P_multiply-{F}(V7,V4,V9), P_add-{F}(V0,V9,V10), P_multiply-{F}(V11,V8,V4), P_multiply-{F}(V12,V11,V12), P_add-{F}(V13,V12,V14), P_add-{F}(V15,V14,V4), P_add-{F}(V13,V16,V11), P_add-{F}(V15,V17,V16), P_multiply-{F}(V15,V17,V18), P_multiply-{F}(V13,V17,V19), P_add-{F}(V19,V18,V0), P_add-{F}(V20,V3,V21), P_multiply-{F}(V5,V22,V20), P_multiply-{F}(V6,V22,V23), P_add-{F}(V23,V21,V22) | P_multiply-{T}(V8,V11,V10)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #533: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V17, V17 == V19, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V41, V41 == V42, V42 == V44, V44 == V46, V46 == V47, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V18, V18 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V43, V43 == V45; #448 ), references = 1, size of lhs = 23:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V4,V5,V3), P_multiply-{F}(V4,V6,V7), P_add-{F}(V4,V6,V8), P_add-{F}(V9,V7,V0), P_multiply-{F}(V10,V6,V9), P_add-{F}(V10,V8,V11), P_multiply-{F}(V12,V11,V12), P_add-{F}(V10,V12,V5), P_multiply-{F}(V11,V13,V3), P_multiply-{F}(V13,V14,V14), P_add-{F}(V15,V16,V13), P_multiply-{F}(V15,V17,V17), P_add-{F}(V18,V19,V17), P_multiply-{F}(V18,V20,V21), P_add-{F}(V21,V2,V22), P_multiply-{F}(V16,V21,V23), P_multiply-{F}(V19,V20,V24), P_add-{F}(V24,V22,V14), P_multiply-{F}(V16,V24,V25), P_add-{F}(V25,V23,V0) | P_multiply-{T}(V13,V11,V3)
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #597: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V50, V50 == V51, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V52; #546 ), references = 1, size of lhs = 23:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_b-{F}(V4), P_multiply-{F}(V2,V4,V5), P_add-{F}(V6,V0,V5), P_c-{F}(V7), P_add-{F}(V0,V8,V7), P_multiply-{F}(V9,V5,V8), P_add-{F}(V10,V9,V11), P_add-{F}(V12,V11,V4), P_add-{F}(V13,V3,V14), P_add-{F}(V15,V14,V5), P_add-{F}(V13,V16,V2), P_add-{F}(V15,V17,V16), P_multiply-{F}(V15,V17,V18), P_multiply-{F}(V13,V17,V19), P_add-{F}(V19,V18,V0), P_add-{F}(V20,V6,V21), P_multiply-{F}(V10,V22,V20), P_multiply-{F}(V12,V22,V23), P_add-{F}(V23,V21,V22) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #647: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V50, V50 == V51, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V52, V56 == V58; #547 ), references = 1, size of lhs = 23:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_b-{F}(V4), P_multiply-{F}(V2,V4,V5), P_add-{F}(V6,V0,V5), P_c-{F}(V7), P_add-{F}(V0,V8,V7), P_multiply-{F}(V9,V5,V8), P_add-{F}(V10,V9,V11), P_add-{F}(V12,V11,V4), P_add-{F}(V13,V3,V14), P_add-{F}(V15,V14,V5), P_add-{F}(V13,V16,V2), P_add-{F}(V15,V17,V16), P_multiply-{F}(V15,V17,V18), P_multiply-{F}(V13,V17,V19), P_add-{F}(V19,V18,V0), P_add-{F}(V20,V6,V21), P_multiply-{F}(V10,V22,V20), P_multiply-{F}(V12,V22,V23), P_add-{F}(V23,V21,V22) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #696: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V23, V23 == V25, V25 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V40, V40 == V42, V42 == V44, V44 == V45, V45 == V47, V47 == V49, V49 == V50, V50 == V51, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V24, V24 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V41, V41 == V43, V43 == V46, V46 == V48, V48 == V52; #548 ), references = 1, size of lhs = 30:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_add-{F}(V5,V0,V4), P_add-{F}(V0,V6,V5), P_add-{F}(V7,V0,V8), P_multiply-{F}(V9,V8,V6), P_multiply-{F}(V10,V3,V8), P_multiply-{F}(V11,V10,V11), P_add-{F}(V12,V9,V13), P_add-{F}(V14,V13,V3), P_add-{F}(V15,V11,V16), P_add-{F}(V17,V16,V8), P_add-{F}(V15,V18,V10), P_add-{F}(V17,V19,V18), P_multiply-{F}(V17,V19,V20), P_multiply-{F}(V15,V19,V21), P_add-{F}(V21,V20,V0), P_multiply-{F}(V22,V23,V23), P_add-{F}(V23,V22,V24), P_multiply-{F}(V22,V25,V25), P_add-{F}(V25,V24,V3), P_add-{F}(V25,V10,V26), P_add-{F}(V23,V26,V2), P_add-{F}(V27,V7,V28), P_multiply-{F}(V12,V29,V27), P_multiply-{F}(V14,V29,V30), P_add-{F}(V30,V28,V29) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #778: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V52, V52 == V54, V54 == V56, V56 == V57, V57 == V58, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V53, V53 == V55, V55 == V59; #718 ), references = 1, size of lhs = 12:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_b-{F}(V4), P_add-{F}(V5,V0,V2), P_multiply-{F}(V5,V2,V2), P_add-{F}(V5,V3,V0), P_add-{F}(V2,V5,V6), P_add-{F}(V7,V6,V4), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V0,V4) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #836: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V29, V29 == V31, V31 == V32, V32 == V33, V33 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V52, V52 == V54, V54 == V56, V56 == V57, V57 == V58, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V30, V30 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V53, V53 == V55, V55 == V59; #719 ), references = 1, size of lhs = 12:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_b-{F}(V4), P_add-{F}(V5,V0,V2), P_multiply-{F}(V5,V2,V2), P_add-{F}(V5,V3,V0), P_add-{F}(V2,V5,V6), P_add-{F}(V7,V6,V4), P_multiply-{F}(V7,V4,V8), P_add-{F}(V8,V0,V4) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #894: mergings( V1 == V3, V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V30, V30 == V32, V32 == V33, V33 == V34, V34 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V51, V51 == V53, V53 == V55, V55 == V56, V56 == V57, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V31, V31 == V35, V35 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V52, V52 == V54, V54 == V58, V58 == V59, V7 == V60; #720 ), references = 1, size of lhs = 18:
% 3.50/3.73 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V4,V2,V4), P_add-{F}(V5,V0,V2), P_multiply-{F}(V5,V2,V2), P_add-{F}(V5,V4,V0), P_add-{F}(V2,V5,V6), P_add-{F}(V7,V6,V3), P_multiply-{F}(V7,V3,V8), P_add-{F}(V8,V0,V3), P_multiply-{F}(V9,V10,V10), P_add-{F}(V10,V9,V11), P_multiply-{F}(V9,V12,V12), P_add-{F}(V12,V11,V3), P_add-{F}(V12,V2,V13), P_add-{F}(V10,V13,V2) | FALSE
% 3.50/3.73 (used 0 times, uses = {})
% 3.50/3.73
% 3.50/3.73 #966: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V55, V55 == V57, V57 == V59, V59 == V60, V60 == V61, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V56, V56 == V58, V58 == V62; #903 ), references = 2, size of lhs = 8:
% 3.50/3.74 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_add-{F}(V4,V0,V2), P_multiply-{F}(V4,V2,V2), P_add-{F}(V4,V3,V0), P_add-{F}(V2,V4,V0) | FALSE
% 3.50/3.74 (used 0 times, uses = {})
% 3.50/3.74
% 3.50/3.74 #1027: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V55, V55 == V57, V57 == V59, V59 == V60, V60 == V61, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V33, V33 == V37, V37 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V56, V56 == V58, V58 == V62; #904 ), references = 1, size of lhs = 8:
% 3.50/3.74 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_add-{F}(V4,V0,V2), P_multiply-{F}(V4,V2,V2), P_add-{F}(V4,V3,V0), P_add-{F}(V2,V4,V0) | FALSE
% 3.50/3.74 (used 0 times, uses = {})
% 3.50/3.74
% 3.50/3.74 #1090: mergings( V1 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V34, V34 == V35, V35 == V37, V37 == V38, V38 == V39, V39 == V41, V41 == V43, V43 == V45, V45 == V47, V47 == V49, V49 == V51, V51 == V53, V53 == V55, V55 == V56, V56 == V58, V58 == V60, V60 == V61, V61 == V62, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V27, V27 == V29, V29 == V31, V31 == V33, V33 == V36, V36 == V40, V40 == V42, V42 == V44, V44 == V46, V46 == V48, V48 == V50, V50 == V52, V52 == V54, V54 == V57, V57 == V59, V59 == V63, V63 == V64, V11 == V65; #905 ), references = 1, size of lhs = 10:
% 3.50/3.74 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), P_a-{F}(V2), P_multiply-{F}(V3,V2,V3), P_add-{F}(V4,V0,V2), P_multiply-{F}(V4,V2,V2), P_add-{F}(V4,V3,V0), P_add-{F}(V2,V4,V0), P_add-{F}(V0,V2,V5), P_add-{F}(V0,V5,V2) | FALSE
% 3.50/3.74 (used 0 times, uses = {})
% 3.50/3.74
% 3.50/3.74 #1112: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6, V6 == V7; #1104 ), references = 1, size of lhs = 2:
% 3.50/3.74 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1) | FALSE
% 3.50/3.74 (used 0 times, uses = {})
% 3.50/3.74
% 3.50/3.74 #1119: exists( #20, #1113 ), references = 1, size of lhs = 0:
% 3.50/3.74 FALSE | FALSE
% 3.50/3.74 (used 0 times, uses = {})
% 3.50/3.74
% 3.50/3.74 number of learnt formulas = 45
% 3.50/3.74
% 3.50/3.74
% 3.50/3.74 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.50/3.74
% 3.50/3.74 randbase = 1
%------------------------------------------------------------------------------