TSTP Solution File: RNG006-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG006-3 : 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 06:14:51 EDT 2022
% Result : Unsatisfiable 65.96s 66.20s
% Output : Refutation 65.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : RNG006-3 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 07:47:38 EDT 2022
% 0.12/0.34 % CPUTime :
% 65.96/66.20 GeoParameters:
% 65.96/66.20
% 65.96/66.20 tptp_input = 1
% 65.96/66.20 tptp_output = 0
% 65.96/66.20 nonempty = 1
% 65.96/66.20 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.96/66.20 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 65.96/66.20
% 65.96/66.20
% 65.96/66.20 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.96/66.20 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.96/66.20
% 65.96/66.20 RuleSystem INPUT:
% 65.96/66.20
% 65.96/66.20 Initial Rules:
% 65.96/66.20 #0: input, references = 36, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1: input, references = 18, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2: input, references = 43, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #3: input, references = 33, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #4: input, references = 23, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #5: input, references = 21, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #6: input, references = 38, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1) | sum-{T}(V6,V4,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #7: input, references = 21, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V1), sum-{F}(V6,V4,V3) | sum-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #8: input, references = 51, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #9: input, references = 8, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1) | product-{T}(V6,V4,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #10: input, references = 12, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V1), product-{F}(V6,V4,V3) | product-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #11: input, references = 29, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V5,V4,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #12: input, references = 28, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V5,V6,V2), product-{F}(V5,V7,V1), sum-{F}(V7,V6,V4) | product-{T}(V5,V4,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #13: input, references = 9, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V4,V5,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | sum-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #14: input, references = 6, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3), product-{F}(V6,V5,V2), product-{F}(V7,V5,V1), sum-{F}(V7,V6,V4) | product-{T}(V4,V5,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #15: input, references = 21, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #16: input, references = 11, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #17: input, references = 19, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4) | sum-{T}(V1,V3,V4)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #18: input, references = 9, size of lhs = 7:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6) | product-{T}(V5,V1,V6)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #19: input, references = 29, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7) | product-{T}(V5,V2,V7)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #20: input, references = 8, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), P_aPb_S_IaPc-{F}(V9) | sum-{T}(V6,V8,V9)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #21: input, references = 11, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), P_aPb_S_IaPc-{F}(V9), product-{F}(V5,V4,V9) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #22: input, references = 4, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #23: input, references = 14, size of lhs = 2:
% 65.96/66.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #24: input, references = 16, size of lhs = 2:
% 65.96/66.20 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #25: input, references = 34, size of lhs = 1:
% 65.96/66.20 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #26: input, references = 4, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_b-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #27: input, references = 5, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_c-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #28: input, references = 7, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_bS_Ic-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #29: input, references = 8, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_a-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #30: input, references = 9, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_aPb-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #31: input, references = 10, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_aPc-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #32: input, references = 9, size of lhs = 0:
% 65.96/66.20 FALSE | EXISTS V0: P_aPb_S_IaPc-{T}(V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 number of initial rules = 33
% 65.96/66.20
% 65.96/66.20 Simplifiers:
% 65.96/66.20 #33: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #34: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #35: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #36: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #37: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #38: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #39: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_bS_Ic-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #40: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #41: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_aPb-{F}(V0), P_aPb-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #42: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_aPc-{F}(V0), P_aPc-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #43: unsound, references = 3, size of lhs = 3:
% 65.96/66.20 P_aPb_S_IaPc-{F}(V0), P_aPb_S_IaPc-{F}(V1), V0 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 number of simplifiers = 11
% 65.96/66.20
% 65.96/66.20 Learnt:
% 65.96/66.20 #50: mergings( V2 == V3, V3 == V5; #47 ), references = 2, size of lhs = 4:
% 65.96/66.20 P_b-{F}(V0), P_additive_identity-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2) | P_additive_inverse-{T}(V1,V2)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #64: mergings( V3 == V4; #62 ), references = 1, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #78: mergings( V2 == V3, V3 == V10; #75 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V5), P_aPb_S_IaPc-{F}(V6), P_additive_identity-{F}(V7), V6 == V7 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #82: mergings( V1 == V2, V2 == V9; #79 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V5), P_additive_identity-{F}(V6) | P_aPb_S_IaPc-{T}(V6)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #86: mergings( V3 == V4; #84 ), references = 1, size of lhs = 2:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #103: mergings( V2 == V3, V3 == V4; #100 ), references = 10, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V1), sum-{F}(V0,V2,V3), V3 == V0 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #112: mergings( V1 == V7, V7 == V8, V8 == V9, V9 == V10; #107 ), references = 3, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), sum-{F}(V0,V0,V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_additive_identity-{F}(V5) | P_aPb-{T}(V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #117: mergings( V1 == V10; #115 ), references = 10, size of lhs = 10:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_additive_inverse-{F}(V6,V7), P_additive_identity-{F}(V8), sum-{F}(V5,V7,V9) | P_aPb_S_IaPc-{T}(V9)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #129: mergings( V0 == V2, V2 == V3; #126 ), references = 1, size of lhs = 1:
% 65.96/66.20 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #133: mergings( V1 == V5; #131 ), references = 1, size of lhs = 5:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_additive_identity-{F}(V3), sum-{F}(V0,V2,V4) | P_bS_Ic-{T}(V4)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #135: exists( #32, #78 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V5), P_additive_identity-{F}(V6) | P_aPb_S_IaPc-{T}(V6)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #144: mergings( V1 == V2, V2 == V9, V9 == V10; #140 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V4,V7,V6), sum-{F}(V1,V7,V8), product-{F}(V4,V8,V9) | P_aPc-{T}(V9)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #154: mergings( V1 == V7, V7 == V8; #151 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), sum-{F}(V4,V4,V4), P_additive_identity-{F}(V5) | P_aPb-{T}(V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #170: mergings( V1 == V8, V8 == V9, V9 == V10; #166 ), references = 2, size of lhs = 10:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V4,V7,V8), sum-{F}(V1,V7,V9), product-{F}(V4,V9,V8) | P_aPc-{T}(V6)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #197: mergings( V1 == V2, V2 == V11, V11 == V17, V17 == V18, V18 == V23, V3 == V7, V7 == V12, V12 == V19, V4 == V8, V5 == V9, V8 == V13, V9 == V14, V13 == V20, V14 == V21, V19 == V6, V6 == V10, V10 == V15, V16 == V22; #178 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V1), P_c-{F}(V2), sum-{F}(V2,V0,V0), P_additive_inverse-{F}(V2,V3), P_a-{F}(V4) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #216: mergings( V1 == V2, V2 == V11, V11 == V16, V16 == V17, V17 == V21, V3 == V7, V7 == V12, V12 == V18, V4 == V8, V5 == V9, V8 == V13, V9 == V14, V13 == V19, V14 == V20, V18 == V6, V6 == V10, V10 == V15; #198 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V1), P_c-{F}(V2), sum-{F}(V2,V0,V0), P_additive_inverse-{F}(V2,V3) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #230: mergings( V3 == V4, V4 == V5; #227 ), references = 5, size of lhs = 3:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V2,V1,V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #252: mergings( V1 == V8, V8 == V9; #247 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), sum-{F}(V4,V4,V4), P_aPb-{F}(V5), P_additive_identity-{F}(V6) | P_aPc-{T}(V6)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #256: mergings( V1 == V8, V8 == V9, V9 == V10; #248 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_additive_inverse-{F}(V1,V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), sum-{F}(V4,V4,V4), P_aPb-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V1,V1,V7), product-{F}(V4,V7,V8) | P_aPc-{T}(V8)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #265: mergings( V1 == V2, V2 == V3, V3 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14; #249 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_a-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), product-{F}(V2,V0,V0), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_aPb-{F}(V5), sum-{F}(V2,V2,V6), product-{F}(V0,V6,V7) | P_aPc-{T}(V7)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #285: mergings( V2 == V3, V3 == V4, V4 == V5; #281 ), references = 12, size of lhs = 3:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #311: mergings( V1 == V7, V7 == V8, V8 == V14, V14 == V15, V2 == V9, V9 == V16, V3 == V10, V4 == V11, V10 == V17, V11 == V18, V17 == V5, V5 == V12, V13 == V19, V6 == V15, V15 == V20; #295 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_aPb-{F}(V1), P_b-{F}(V2), P_additive_inverse-{F}(V0,V3), P_a-{F}(V4), sum-{F}(V0,V0,V5), product-{F}(V4,V5,V1) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #333: mergings( V1 == V6, V6 == V11, V11 == V12, V12 == V17, V17 == V18, V2 == V7, V7 == V13, V13 == V19, V3 == V8, V4 == V9, V8 == V14, V9 == V15, V14 == V20, V15 == V21, V5 == V20, V20 == V10, V10 == V16; #315 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), sum-{F}(V2,V2,V2), P_additive_inverse-{F}(V0,V3), sum-{F}(V0,V0,V4), sum-{F}(V4,V4,V4) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #361: mergings( V3 == V4, V4 == V5; #358 ), references = 1, size of lhs = 3:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V1,V2,V0)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #384: mergings( V3 == V4, V4 == V5, V5 == V6; #379 ), references = 4, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), product-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #388: mergings( V3 == V4, V4 == V5, V5 == V6; #380 ), references = 1, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V0), sum-{F}(V2,V3,V4), product-{F}(V1,V4,V5) | P_multiply-{T}(V1,V3,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #413: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #407 ), references = 13, size of lhs = 6:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0), product-{F}(V3,V4,V1), sum-{F}(V4,V5,V6), product-{F}(V3,V6,V7), sum-{F}(V7,V2,V8) | P_multiply-{T}(V3,V5,V8)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #441: mergings( V3 == V4, V4 == V5, V5 == V11, V11 == V12, V6 == V13, V7 == V14, V8 == V15, V9 == V1, V10 == V0, V12 == V16; #430 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPb-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPc-{F}(V6), product-{F}(V5,V7,V6), sum-{F}(V7,V4,V8), product-{F}(V5,V8,V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #460: mergings( V1 == V7, V7 == V8, V8 == V9, V9 == V15, V15 == V16, V2 == V10, V10 == V17, V3 == V11, V4 == V12, V11 == V18, V12 == V19, V5 == V13, V13 == V20, V14 == V21, V6 == V16, V16 == V22; #443 ), references = 4, size of lhs = 9:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPb-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), sum-{F}(V2,V4,V6), product-{F}(V5,V6,V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #471: mergings( V1 == V6, V2 == V7, V3 == V8, V4 == V9, V5 == V10; #465 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V1,V1), P_c-{F}(V2), P_additive_inverse-{F}(V2,V3), P_bS_Ic-{F}(V4), sum-{F}(V2,V4,V5), sum-{F}(V5,V5,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #480: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V4, V4 == V6; #474 ), references = 1, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0), P_c-{F}(V1) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #487: mergings( V1 == V2, V2 == V3, V3 == V5, V5 == V4, V4 == V6; #481 ), references = 1, size of lhs = 3:
% 65.96/66.20 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #507: mergings( V2 == V5, V3 == V6, V4 == V7; #503 ), references = 2, size of lhs = 7:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPb-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), sum-{F}(V2,V3,V1), P_a-{F}(V4) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #523: mergings( V2 == V5, V5 == V11, V0 == V6, V3 == V7, V4 == V9; #516 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_c-{F}(V0), P_b-{F}(V0), P_bS_Ic-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_aPc-{F}(V4), V3 == V4, P_additive_identity-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #530: mergings( V1 == V5, V5 == V10, V2 == V6, V3 == V7, V4 == V9; #524 ), references = 1, size of lhs = 6:
% 65.96/66.20 P_c-{F}(V0), P_b-{F}(V0), P_bS_Ic-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4) | P_aPc-{T}(V3)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #532: exists( #25, #21 ), references = 5, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_additive_inverse-{F}(V6,V7), P_aPb_S_IaPc-{F}(V8), product-{F}(V4,V3,V8) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #534: exists( #25, #531 ), references = 6, size of lhs = 9:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_aPb_S_IaPc-{F}(V7), product-{F}(V4,V3,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #538: exists( #25, #78 ), references = 2, size of lhs = 9:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_additive_identity-{F}(V6), V5 == V6 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #540: exists( #32, #537 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V4), P_additive_identity-{F}(V5) | P_aPb_S_IaPc-{T}(V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #558: mergings( V1 == V4, V4 == V8, V8 == V13, V13 == V14, V2 == V5, V5 == V9, V9 == V15, V15 == V10, V10 == V16, V3 == V6, V6 == V11, V11 == V17, V7 == V12, V12 == V18; #543 ), references = 2, size of lhs = 6:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), product-{F}(V3,V2,V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #563: mergings( V1 == V2; #561 ), references = 1, size of lhs = 5:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), sum-{F}(V2,V2,V2) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #584: mergings( V2 == V3, V3 == V5; #581 ), references = 1, size of lhs = 5:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V2), V2 == V1 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #588: mergings( V1 == V2, V2 == V4; #585 ), references = 1, size of lhs = 3:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1) | P_bS_Ic-{T}(V1)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #621: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V11; #614 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_b-{F}(V0), P_bS_Ic-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V3,V4,V1), sum-{F}(V5,V4,V2), sum-{F}(V3,V6,V7), sum-{F}(V7,V8,V5) | P_add-{T}(V6,V8,V2)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #633: mergings( V2 == V4; #631 ), references = 1, size of lhs = 4:
% 65.96/66.20 P_b-{F}(V0), P_bS_Ic-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2) | P_additive_inverse-{T}(V1,V2)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #649: mergings( V2 == V7; #647 ), references = 3, size of lhs = 8:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_additive_identity-{F}(V5), product-{F}(V3,V0,V6), V6 == V4 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #659: mergings( V3 == V7; #657 ), references = 4, size of lhs = 6:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_additive_identity-{F}(V5) | P_multiply-{T}(V3,V0,V4)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #700: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V13; #692 ), references = 2, size of lhs = 9:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V0,V4,V3), sum-{F}(V2,V4,V5), product-{F}(V6,V7,V1), product-{F}(V8,V7,V3), sum-{F}(V6,V9,V8) | P_multiply-{T}(V9,V7,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #735: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9; #728 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_bS_Ic-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), product-{F}(V1,V3,V2), product-{F}(V0,V3,V0), product-{F}(V1,V3,V4), product-{F}(V0,V3,V5), sum-{F}(V4,V0,V6), sum-{F}(V5,V1,V7), V7 == V6 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #763: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8; #758 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V3,V0,V4), sum-{F}(V1,V2,V5), V5 == V4 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #765: exists( #30, #649 ), references = 1, size of lhs = 6:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V0,V5) | P_aPb-{T}(V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #828: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #821 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPb-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #834: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V4 == V8; #822 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPb-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), sum-{F}(V1,V0,V5), product-{F}(V4,V5,V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #838: exists( #32, #538 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V4), P_additive_identity-{F}(V5) | P_aPb_S_IaPc-{T}(V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #857: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8; #852 ), references = 3, size of lhs = 9:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V0,V3,V4), sum-{F}(V5,V2,V6), sum-{F}(V6,V1,V7), sum-{F}(V5,V4,V8), V8 == V7 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #865: mergings( V3 == V7; #863 ), references = 4, size of lhs = 7:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), sum-{F}(V0,V3,V4), sum-{F}(V5,V2,V6), sum-{F}(V6,V1,V7) | P_add-{T}(V5,V4,V7)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #886: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V16; #878 ), references = 1, size of lhs = 15:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V3,V7,V8), product-{F}(V8,V9,V9), product-{F}(V7,V9,V10), product-{F}(V8,V11,V11), sum-{F}(V1,V11,V12), sum-{F}(V12,V9,V6), product-{F}(V7,V11,V13), sum-{F}(V13,V10,V1) | P_add-{T}(V11,V9,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #933: mergings( V2 == V8; #931 ), references = 2, size of lhs = 9:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V3,V1,V7), V7 == V5 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1006: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V4 == V7, V7 == V14, V0 == V15, V8 == V16, V9 == V18, V13 == V19; #990 ), references = 2, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPb_S_IaPc-{F}(V6), product-{F}(V4,V0,V7), product-{F}(V4,V1,V8), sum-{F}(V7,V8,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1019: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V4 == V7, V7 == V14, V8 == V15, V9 == V17, V13 == V18; #992 ), references = 2, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_inverse-{F}(V0,V6), P_aPb_S_IaPc-{F}(V7), product-{F}(V4,V0,V8), product-{F}(V4,V1,V9), sum-{F}(V8,V9,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1033: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V4 == V7, V7 == V14, V0 == V15, V8 == V16, V9 == V18, V13 == V19; #991 ), references = 2, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_inverse-{F}(V0,V6), P_aPb_S_IaPc-{F}(V7), product-{F}(V4,V0,V8), product-{F}(V4,V1,V9), sum-{F}(V8,V9,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1089: mergings( V8 == V10, V2 == V11, V0 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V10; #1079 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_additive_inverse-{F}(V0,V1), P_b-{F}(V2), P_c-{F}(V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), sum-{F}(V6,V1,V7), product-{F}(V5,V0,V8), product-{F}(V5,V2,V9), sum-{F}(V8,V9,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1098: mergings( V8 == V10, V2 == V11, V0 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V10, V7 == V16; #1080 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_inverse-{F}(V0,V6), sum-{F}(V5,V6,V7), product-{F}(V4,V0,V8), product-{F}(V4,V1,V9), sum-{F}(V8,V9,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1107: mergings( V8 == V10, V2 == V11, V0 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V10, V7 == V16; #1081 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_aPc-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_additive_inverse-{F}(V0,V6), sum-{F}(V5,V6,V7), product-{F}(V4,V0,V8), product-{F}(V4,V1,V9), sum-{F}(V8,V9,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1203: mergings( V2 == V8, V8 == V11, V3 == V9, V0 == V10, V4 == V7; #1197 ), references = 4, size of lhs = 14:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V0,V7,V8), sum-{F}(V7,V4,V9), product-{F}(V0,V9,V10), sum-{F}(V10,V4,V11), sum-{F}(V8,V6,V12), V12 == V11 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1231: mergings( V2 == V7, V7 == V8, V8 == V9, V3 == V10, V0 == V11, V4 == V12, V5 == V15, V6 == V16; #1220 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V8,V3,V2), product-{F}(V4,V8,V9), sum-{F}(V9,V10,V0), sum-{F}(V7,V10,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1239: mergings( V2 == V7, V7 == V8, V8 == V9, V3 == V10, V4 == V11, V5 == V14, V6 == V15; #1222 ), references = 1, size of lhs = 13:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), sum-{F}(V9,V3,V2), product-{F}(V4,V9,V10), sum-{F}(V10,V11,V0), sum-{F}(V7,V11,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1248: mergings( V2 == V7, V7 == V8, V8 == V9, V3 == V10, V0 == V11, V4 == V12, V5 == V15, V6 == V16; #1221 ), references = 1, size of lhs = 13:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), sum-{F}(V9,V3,V2), product-{F}(V4,V9,V10), sum-{F}(V10,V11,V0), sum-{F}(V7,V11,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1313: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V18; #1302 ), references = 2, size of lhs = 25:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), sum-{F}(V7,V6,V4), sum-{F}(V8,V7,V9), product-{F}(V0,V8,V10), sum-{F}(V11,V4,V12), sum-{F}(V12,V9,V13), product-{F}(V0,V12,V14), sum-{F}(V10,V14,V13), sum-{F}(V8,V11,V15), product-{F}(V0,V16,V15), product-{F}(V6,V17,V18), sum-{F}(V13,V18,V19), sum-{F}(V19,V18,V16), sum-{F}(V20,V20,V21), product-{F}(V21,V17,V20), product-{F}(V8,V21,V22), product-{F}(V12,V21,V23), sum-{F}(V23,V22,V6) | P_add-{T}(V8,V12,V16)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1354: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11; #1345 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V2), sum-{F}(V2,V3,V4), product-{F}(V5,V3,V6), sum-{F}(V6,V7,V3), product-{F}(V5,V8,V7), sum-{F}(V4,V8,V9), product-{F}(V1,V9,V10), V10 == V9, product-{F}(V11,V3,V8), product-{F}(V11,V5,V12), sum-{F}(V12,V5,V1) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1366: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12; #1356 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), product-{F}(V1,V2,V2), sum-{F}(V2,V3,V4), product-{F}(V5,V3,V6), sum-{F}(V4,V6,V7), product-{F}(V8,V3,V9), product-{F}(V8,V6,V10), sum-{F}(V9,V10,V3), product-{F}(V5,V8,V11), sum-{F}(V11,V8,V1) | P_multiply-{T}(V1,V7,V7)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1410: 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, V14 == V15, V15 == V16, V16 == V17, V17 == V23, V23 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V36, V21 == V34, V22 == V35, V20 == V33, V18 == V31, V19 == V32; #1382 ), references = 1, size of lhs = 40:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V6,V5,V5), sum-{F}(V7,V6,V4), sum-{F}(V8,V4,V6), product-{F}(V0,V6,V9), product-{F}(V0,V5,V10), product-{F}(V0,V11,V4), sum-{F}(V0,V12,V6), product-{F}(V13,V0,V12), sum-{F}(V13,V7,V14), product-{F}(V0,V13,V15), sum-{F}(V6,V14,V16), product-{F}(V0,V16,V13), sum-{F}(V15,V9,V16), product-{F}(V6,V16,V16), sum-{F}(V13,V8,V17), sum-{F}(V17,V17,V0), product-{F}(V0,V16,V18), sum-{F}(V18,V19,V5), sum-{F}(V10,V19,V17), sum-{F}(V5,V20,V11), sum-{F}(V20,V4,V16), sum-{F}(V5,V21,V0), product-{F}(V22,V16,V21), sum-{F}(V6,V23,V24), sum-{F}(V13,V24,V25), sum-{F}(V23,V26,V20), sum-{F}(V25,V26,V4), product-{F}(V27,V16,V28), product-{F}(V27,V21,V29), sum-{F}(V28,V29,V16), product-{F}(V22,V27,V30), sum-{F}(V30,V27,V6) | P_additive_inverse-{T}(V16,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1464: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V13; #1459 ), references = 9, size of lhs = 12:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V3,V7,V8), sum-{F}(V9,V7,V1), product-{F}(V3,V9,V10), sum-{F}(V11,V12,V8), sum-{F}(V10,V11,V13) | P_add-{T}(V12,V13,V5)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1505: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V12; #1500 ), references = 1, size of lhs = 15:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V0,V6,V7), sum-{F}(V4,V8,V9), product-{F}(V0,V9,V10), sum-{F}(V10,V7,V11), sum-{F}(V11,V4,V12), sum-{F}(V8,V6,V13), product-{F}(V0,V13,V9) | P_add-{T}(V9,V6,V12)
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1536: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V17, V17 == V19, V19 == V20, V20 == V21; #1522 ), references = 1, size of lhs = 20:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V0,V6,V7), product-{F}(V0,V6,V8), product-{F}(V0,V6,V9), sum-{F}(V9,V7,V10), sum-{F}(V4,V11,V6), product-{F}(V0,V11,V12), sum-{F}(V12,V8,V6), sum-{F}(V4,V13,V6), sum-{F}(V13,V11,V10), sum-{F}(V11,V14,V6), sum-{F}(V5,V14,V15), V15 == V5 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1549: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V17, V17 == V19, V19 == V20, V20 == V21; #1523 ), references = 1, size of lhs = 21:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V0,V6,V7), product-{F}(V0,V6,V8), product-{F}(V0,V6,V9), sum-{F}(V4,V10,V6), product-{F}(V0,V11,V12), sum-{F}(V12,V9,V13), sum-{F}(V4,V11,V13), product-{F}(V0,V13,V14), sum-{F}(V14,V7,V15), sum-{F}(V10,V11,V15), product-{F}(V0,V13,V16), sum-{F}(V16,V8,V17), V17 == V13 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1567: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V18, V18 == V20, V20 == V21, V21 == V22; #1553 ), references = 1, size of lhs = 18:
% 65.96/66.20 P_a-{F}(V0), P_aPb-{F}(V1), P_aPc-{F}(V2), P_bS_Ic-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V3,V5,V6), product-{F}(V0,V6,V7), sum-{F}(V4,V7,V6), product-{F}(V0,V6,V8), product-{F}(V0,V6,V9), sum-{F}(V4,V9,V6), product-{F}(V0,V7,V10), sum-{F}(V10,V8,V6), sum-{F}(V7,V11,V6), sum-{F}(V5,V11,V12), V12 == V5 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1692: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V7, V7 == V15, V0 == V16, V8 == V17, V9 == V19, V10 == V20; #1676 ), references = 2, size of lhs = 13:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_aPb_S_IaPc-{F}(V7), sum-{F}(V6,V8,V0), product-{F}(V4,V0,V9), sum-{F}(V9,V8,V10), product-{F}(V4,V1,V11), sum-{F}(V10,V11,V7) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1705: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V7, V7 == V15, V8 == V16, V9 == V18, V10 == V19; #1678 ), references = 2, size of lhs = 14:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_additive_inverse-{F}(V6,V7), P_aPb_S_IaPc-{F}(V8), sum-{F}(V6,V9,V0), product-{F}(V4,V0,V10), sum-{F}(V10,V9,V11), product-{F}(V4,V1,V12), sum-{F}(V11,V12,V8) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1719: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V4 == V7, V7 == V15, V0 == V16, V8 == V17, V9 == V19, V10 == V20; #1677 ), references = 2, size of lhs = 14:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), P_additive_inverse-{F}(V6,V7), P_aPb_S_IaPc-{F}(V8), sum-{F}(V6,V9,V0), product-{F}(V4,V0,V10), sum-{F}(V10,V9,V11), product-{F}(V4,V1,V12), sum-{F}(V11,V12,V8) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1745: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V12, V12 == V13, V13 == V14, V14 == V15, V6 == V9, V9 == V16, V10 == V18, V11 == V20; #1730 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPb_S_IaPc-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V0,V0), P_aPb-{F}(V5), P_aPc-{F}(V6), product-{F}(V4,V1,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1760: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V13, V13 == V14, V14 == V15, V15 == V16, V6 == V9, V9 == V17, V10 == V18, V11 == V19, V12 == V21; #1731 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPb_S_IaPc-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V0,V0), P_aPb-{F}(V5), P_aPc-{F}(V6), product-{F}(V4,V1,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1776: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V13, V13 == V14, V14 == V15, V15 == V16, V6 == V9, V9 == V17, V10 == V18, V11 == V19, V12 == V21, V0 == V22; #1729 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPb_S_IaPc-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V0,V0), product-{F}(V4,V1,V5), P_aPc-{F}(V5), P_aPb-{F}(V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1835: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V13, V13 == V14, V14 == V15; #1828 ), references = 2, size of lhs = 17:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V3,V7,V8), sum-{F}(V9,V7,V1), product-{F}(V3,V10,V11), sum-{F}(V11,V8,V12), sum-{F}(V13,V10,V9), product-{F}(V3,V13,V14), sum-{F}(V15,V5,V14), sum-{F}(V12,V15,V16), sum-{F}(V6,V16,V17), V17 == V6 | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1886: mergings( V2 == V3, V3 == V8, V8 == V9, V4 == V10, V0 == V11, V5 == V12, V6 == V13, V7 == V14; #1875 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5), P_aPb_S_IaPc-{F}(V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1895: mergings( V2 == V3, V3 == V8, V8 == V9, V4 == V10, V0 == V11, V5 == V12, V6 == V13, V7 == V14; #1876 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5), P_aPb_S_IaPc-{F}(V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1904: mergings( V2 == V3, V3 == V8, V8 == V9, V4 == V10, V0 == V11, V5 == V12, V6 == V13, V7 == V14; #1877 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5), P_aPb_S_IaPc-{F}(V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1916: mergings( V1 == V2, V2 == V8, V8 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #1905 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1925: mergings( V1 == V2, V2 == V8, V8 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #1906 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1934: mergings( V1 == V2, V2 == V8, V8 == V9, V3 == V10, V4 == V11, V5 == V12, V6 == V13, V7 == V14; #1907 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_aPc-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V1), product-{F}(V4,V2,V5), P_aPb-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #1995: mergings( V8 == V10, V2 == V11, V0 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16; #1985 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), sum-{F}(V6,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2003: mergings( V8 == V10, V2 == V11, V3 == V12, V4 == V13, V5 == V14, V6 == V15, V7 == V16; #1987 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), sum-{F}(V6,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2012: mergings( V8 == V10, V2 == V11, V0 == V12, V3 == V13, V4 == V14, V5 == V15, V6 == V16, V7 == V17; #1986 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), P_additive_inverse-{F}(V7,V8), sum-{F}(V6,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2065: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V21, V21 == V22, V7 == V17, V17 == V23, V8 == V24, V9 == V18, V18 == V1, V19 == V0, V10 == V20, V20 == V25; #2043 ), references = 1, size of lhs = 14:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), sum-{F}(V5,V5,V0), P_aPc-{F}(V6), sum-{F}(V0,V6,V6), sum-{F}(V3,V3,V7), product-{F}(V4,V7,V0), sum-{F}(V3,V8,V2), product-{F}(V4,V8,V9), sum-{F}(V0,V5,V9) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2086: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V22, V22 == V23, V7 == V17, V17 == V24, V8 == V18, V18 == V25, V9 == V19, V19 == V1, V20 == V0, V10 == V21, V21 == V26; #2044 ), references = 1, size of lhs = 14:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), sum-{F}(V5,V5,V0), P_aPc-{F}(V6), sum-{F}(V0,V6,V6), sum-{F}(V3,V3,V7), product-{F}(V4,V7,V0), sum-{F}(V3,V8,V2), product-{F}(V4,V8,V9), sum-{F}(V0,V5,V9) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2108: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V23, V23 == V24, V7 == V17, V17 == V25, V8 == V18, V18 == V26, V9 == V19, V19 == V1, V20 == V0, V10 == V21, V21 == V27, V22 == V28; #2045 ), references = 1, size of lhs = 14:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), sum-{F}(V5,V5,V0), P_aPc-{F}(V6), sum-{F}(V0,V6,V6), sum-{F}(V3,V3,V7), product-{F}(V4,V7,V0), sum-{F}(V3,V8,V2), product-{F}(V4,V8,V9), sum-{F}(V0,V5,V9) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2267: mergings( V2 == V3, V3 == V4, V4 == V5; #2261 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V7,V8,V6), sum-{F}(V0,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2271: mergings( V2 == V3, V3 == V4, V4 == V5; #2262 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V7,V8,V6), sum-{F}(V0,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2275: mergings( V2 == V3, V3 == V4, V4 == V5; #2263 ), references = 3, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V7,V8,V6), sum-{F}(V0,V8,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2403: mergings( V2 == V8, V8 == V9, V3 == V10, V0 == V11, V4 == V12, V5 == V13, V6 == V15, V7 == V16; #2392 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V7,V5), product-{F}(V4,V8,V7), sum-{F}(V8,V2,V9), product-{F}(V4,V9,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2412: mergings( V2 == V8, V8 == V9, V3 == V10, V0 == V11, V4 == V12, V5 == V13, V6 == V15, V7 == V16; #2393 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V7,V5), product-{F}(V4,V8,V7), sum-{F}(V8,V2,V9), product-{F}(V4,V9,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2421: mergings( V2 == V8, V8 == V9, V3 == V10, V0 == V11, V4 == V12, V5 == V13, V6 == V15, V7 == V16; #2394 ), references = 1, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V7,V5), product-{F}(V4,V8,V7), sum-{F}(V8,V2,V9), product-{F}(V4,V9,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2476: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V30, V13 == V24, V14 == V26, V15 == V28; #2454 ), references = 1, size of lhs = 34:
% 65.96/66.20 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_identity-{F}(V6), product-{F}(V3,V7,V8), sum-{F}(V5,V7,V9), sum-{F}(V10,V7,V1), product-{F}(V3,V11,V12), sum-{F}(V12,V8,V13), sum-{F}(V9,V11,V14), sum-{F}(V6,V14,V15), V15 == V6, sum-{F}(V16,V11,V10), sum-{F}(V16,V17,V6), product-{F}(V3,V16,V18), product-{F}(V3,V19,V18), sum-{F}(V20,V19,V16), product-{F}(V3,V20,V21), sum-{F}(V13,V22,V18), sum-{F}(V22,V13,V23), product-{F}(V3,V16,V23), sum-{F}(V24,V17,V6), product-{F}(V25,V13,V24), product-{F}(V25,V3,V26), product-{F}(V3,V27,V26), product-{F}(V27,V28,V1), product-{F}(V26,V29,V1), sum-{F}(V7,V30,V29), sum-{F}(V11,V31,V30), sum-{F}(V31,V28,V32), product-{F}(V26,V32,V21) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2597: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V13 == V27, V14 == V28, V15 == V29, V16 == V30, V17 == V31; #2571 ), references = 1, size of lhs = 28:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V2), P_aPb-{F}(V5), P_aPc-{F}(V6), product-{F}(V4,V5,V7), product-{F}(V4,V5,V8), sum-{F}(V5,V9,V0), sum-{F}(V10,V9,V0), product-{F}(V4,V11,V12), sum-{F}(V13,V11,V2), sum-{F}(V5,V14,V13), product-{F}(V4,V14,V15), sum-{F}(V15,V12,V16), sum-{F}(V16,V17,V8), sum-{F}(V17,V16,V7), product-{F}(V18,V16,V10), product-{F}(V18,V4,V19), product-{F}(V4,V20,V19), product-{F}(V20,V21,V2), product-{F}(V19,V22,V0), sum-{F}(V23,V21,V22), sum-{F}(V14,V23,V24), sum-{F}(V11,V24,V25), product-{F}(V19,V25,V2) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2621: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V13 == V27, V14 == V28, V15 == V29, V16 == V30, V17 == V31; #2572 ), references = 1, size of lhs = 28:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V2), P_aPb-{F}(V5), P_aPc-{F}(V6), product-{F}(V4,V5,V7), product-{F}(V4,V5,V8), sum-{F}(V5,V9,V0), sum-{F}(V10,V9,V0), product-{F}(V4,V11,V12), sum-{F}(V13,V11,V2), sum-{F}(V5,V14,V13), product-{F}(V4,V14,V15), sum-{F}(V15,V12,V16), sum-{F}(V16,V17,V8), sum-{F}(V17,V16,V7), product-{F}(V18,V16,V10), product-{F}(V18,V4,V19), product-{F}(V4,V20,V19), product-{F}(V20,V21,V2), product-{F}(V19,V22,V0), sum-{F}(V23,V21,V22), sum-{F}(V14,V23,V24), sum-{F}(V11,V24,V25), product-{F}(V19,V25,V2) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2645: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V13 == V27, V14 == V28, V15 == V29, V16 == V30, V17 == V31; #2573 ), references = 1, size of lhs = 28:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V2), P_aPb-{F}(V5), P_aPc-{F}(V6), product-{F}(V4,V5,V7), product-{F}(V4,V5,V8), sum-{F}(V5,V9,V0), sum-{F}(V10,V9,V0), product-{F}(V4,V11,V12), sum-{F}(V13,V11,V2), sum-{F}(V5,V14,V13), product-{F}(V4,V14,V15), sum-{F}(V15,V12,V16), sum-{F}(V16,V17,V8), sum-{F}(V17,V16,V7), product-{F}(V18,V16,V10), product-{F}(V18,V4,V19), product-{F}(V4,V20,V19), product-{F}(V20,V21,V2), product-{F}(V19,V22,V0), sum-{F}(V23,V21,V22), sum-{F}(V14,V23,V24), sum-{F}(V11,V24,V25), product-{F}(V19,V25,V2) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2751: mergings( V2 == V7, V7 == V8, V3 == V9, V0 == V10, V4 == V11, V5 == V12, V6 == V14; #2741 ), references = 2, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V8,V5), product-{F}(V4,V9,V8), sum-{F}(V2,V9,V10), product-{F}(V4,V10,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2759: mergings( V2 == V7, V7 == V8, V3 == V9, V0 == V10, V4 == V11, V5 == V12, V6 == V14; #2742 ), references = 2, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V8,V5), product-{F}(V4,V9,V8), sum-{F}(V2,V9,V10), product-{F}(V4,V10,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2767: mergings( V2 == V7, V7 == V8, V3 == V9, V0 == V10, V4 == V11, V5 == V12, V6 == V14; #2743 ), references = 2, size of lhs = 12:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V3,V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V8,V5), product-{F}(V4,V9,V8), sum-{F}(V2,V9,V10), product-{F}(V4,V10,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2781: mergings( V3 == V4; #2777 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), sum-{F}(V2,V3,V7), product-{F}(V4,V7,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2783: mergings( V3 == V4; #2778 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), sum-{F}(V2,V3,V7), product-{F}(V4,V7,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2785: mergings( V3 == V4; #2779 ), references = 1, size of lhs = 9:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), sum-{F}(V2,V3,V7), product-{F}(V4,V7,V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2816: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V13, V5 == V14; #2804 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V2,V8), product-{F}(V5,V8,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2826: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V13, V5 == V14; #2805 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V2,V8), product-{F}(V5,V8,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2836: mergings( V2 == V3, V3 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V4 == V13, V5 == V14; #2806 ), references = 1, size of lhs = 11:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), P_aPc-{F}(V7), sum-{F}(V0,V2,V8), product-{F}(V5,V8,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2849: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V3 == V12, V4 == V13; #2837 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), sum-{F}(V0,V2,V7), product-{F}(V5,V7,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2859: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V3 == V12, V4 == V13; #2838 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), sum-{F}(V0,V2,V7), product-{F}(V5,V7,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2869: mergings( V1 == V2, V2 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V3 == V12, V4 == V13; #2839 ), references = 1, size of lhs = 10:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5), P_aPb-{F}(V6), sum-{F}(V0,V2,V7), product-{F}(V5,V7,V6) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2893: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V1 == V8, V8 == V17, V2 == V9, V9 == V18, V3 == V19; #2876 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2908: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V1 == V8, V8 == V17, V2 == V9, V9 == V18, V3 == V19; #2877 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2923: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V1 == V8, V8 == V17, V2 == V9, V9 == V18, V3 == V19; #2878 ), references = 1, size of lhs = 8:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4), P_a-{F}(V5) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2941: mergings( V4 == V5, V5 == V6, V6 == V7, V7 == V10, V10 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V1 == V8, V8 == V17, V2 == V9, V9 == V18, V3 == V19; #2924 ), references = 1, size of lhs = 7:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_bS_Ic-{F}(V4) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #2984: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V1 == V7, V7 == V16, V2 == V8, V8 == V17; #2968 ), references = 1, size of lhs = 6:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1), P_c-{F}(V3), sum-{F}(V0,V3,V3) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #3028: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V1 == V6, V6 == V14; #3014 ), references = 1, size of lhs = 4:
% 65.96/66.20 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V2), sum-{F}(V0,V2,V1) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #3067: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10; #3055 ), references = 1, size of lhs = 1:
% 65.96/66.20 P_additive_identity-{F}(V0) | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 #3071: exists( #22, #3055 ), references = 1, size of lhs = 0:
% 65.96/66.20 FALSE | FALSE
% 65.96/66.20 (used 0 times, uses = {})
% 65.96/66.20
% 65.96/66.20 number of learnt formulas = 126
% 65.96/66.20
% 65.96/66.20
% 65.96/66.20 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 65.96/66.20
% 65.96/66.20 randbase = 1
%------------------------------------------------------------------------------