TSTP Solution File: RNG006-1 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n023.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 9.33s 9.50s
% Output : Refutation 9.33s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : RNG006-1 : TPTP v8.1.0. Released v1.0.0.
% 0.12/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n023.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
% 0.18/0.33 % CPULimit : 300
% 0.18/0.33 % WCLimit : 300
% 0.18/0.33 % DateTime : Fri Jul 22 07:52:20 EDT 2022
% 0.18/0.33 % CPUTime :
% 9.33/9.50 GeoParameters:
% 9.33/9.50
% 9.33/9.50 tptp_input = 1
% 9.33/9.50 tptp_output = 0
% 9.33/9.50 nonempty = 1
% 9.33/9.50 inputfile = /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/9.50 includepath = /export/starexec/sandbox2/solver/bin/../../benchmark/
% 9.33/9.50
% 9.33/9.50
% 9.33/9.50 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/9.50 % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/9.50
% 9.33/9.50 RuleSystem INPUT:
% 9.33/9.50
% 9.33/9.50 Initial Rules:
% 9.33/9.50 #0: input, references = 13, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1: input, references = 9, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #2: input, references = 13, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #3: input, references = 9, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #4: input, references = 32, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V2,V1,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #5: input, references = 13, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2) | sum-{T}(V1,V2,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #6: input, references = 11, size of lhs = 4:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #7: input, references = 13, size of lhs = 4:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #8: input, references = 20, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #9: input, references = 4, size of lhs = 4:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #10: input, references = 6, size of lhs = 4:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #11: input, references = 10, size of lhs = 5:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #12: input, references = 12, size of lhs = 5:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #13: input, references = 6, size of lhs = 5:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #14: input, references = 4, size of lhs = 5:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #15: input, references = 19, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2), V1 == V2 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #16: input, references = 13, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2), V1 == V2 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #17: input, references = 11, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V2,V4), P_additive_inverse-{F}(V3,V5), product-{F}(V1,V2,V3) | product-{T}(V1,V4,V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #18: input, references = 11, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V4), P_additive_inverse-{F}(V3,V5), product-{F}(V1,V2,V3) | product-{T}(V4,V2,V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #19: input, references = 9, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V4), P_additive_inverse-{F}(V2,V5), product-{F}(V1,V2,V3) | product-{T}(V4,V5,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #20: input, references = 27, size of lhs = 5:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #21: input, references = 26, size of lhs = 7:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #22: input, references = 19, size of lhs = 8:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #23: input, references = 5, size of lhs = 10:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #24: input, references = 9, size of lhs = 11:
% 9.33/9.50 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
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #25: input, references = 4, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #26: input, references = 10, size of lhs = 2:
% 9.33/9.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #27: input, references = 9, size of lhs = 2:
% 9.33/9.50 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #28: input, references = 42, size of lhs = 1:
% 9.33/9.50 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #29: input, references = 4, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_b-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #30: input, references = 4, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_c-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #31: input, references = 5, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_bS_Ic-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #32: input, references = 5, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_a-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #33: input, references = 7, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_aPb-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #34: input, references = 6, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_aPc-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #35: input, references = 11, size of lhs = 0:
% 9.33/9.50 FALSE | EXISTS V0: P_aPb_S_IaPc-{T}(V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 number of initial rules = 36
% 9.33/9.50
% 9.33/9.50 Simplifiers:
% 9.33/9.50 #36: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #37: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #38: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #39: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #40: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #41: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #42: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_bS_Ic-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #43: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #44: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_aPb-{F}(V0), P_aPb-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #45: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_aPc-{F}(V0), P_aPc-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #46: unsound, references = 3, size of lhs = 3:
% 9.33/9.50 P_aPb_S_IaPc-{F}(V0), P_aPb_S_IaPc-{F}(V1), V0 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 number of simplifiers = 11
% 9.33/9.50
% 9.33/9.50 Learnt:
% 9.33/9.50 #53: mergings( V2 == V3, V3 == V5; #50 ), references = 1, size of lhs = 4:
% 9.33/9.50 P_b-{F}(V0), P_additive_identity-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2) | P_additive_inverse-{T}(V1,V2)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #67: mergings( V3 == V4; #65 ), references = 1, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | P_add-{T}(V1,V2,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #80: mergings( V2 == V3; #78 ), references = 5, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), product-{F}(V1,V3,V4), product-{F}(V2,V3,V5) | P_additive_inverse-{T}(V4,V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #93: mergings( V0 == V2, V2 == V3; #90 ), references = 1, size of lhs = 1:
% 9.33/9.50 P_additive_identity-{F}(V0) | P_additive_inverse-{T}(V0,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #106: mergings( V3 == V4; #104 ), references = 1, size of lhs = 2:
% 9.33/9.50 P_additive_identity-{F}(V0), product-{F}(V1,V2,V3) | P_multiply-{T}(V1,V2,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #110: mergings( V1 == V10; #108 ), references = 3, size of lhs = 10:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #126: mergings( V2 == V3, V3 == V4, V4 == V5; #122 ), references = 7, size of lhs = 3:
% 9.33/9.50 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V0), sum-{F}(V0,V2,V3) | P_additive_inverse-{T}(V1,V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #150: mergings( V1 == V8, V8 == V9, V9 == V10, V10 == V11, V4 == V12; #143 ), references = 2, size of lhs = 11:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_additive_inverse-{F}(V3,V3), sum-{F}(V3,V3,V3), P_aPb-{F}(V4), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V1,V6), sum-{F}(V1,V6,V7), product-{F}(V3,V7,V8) | P_aPc-{T}(V8)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #156: mergings( V1 == V8, V8 == V9, V9 == V10, V10 == V11, V4 == V12; #144 ), references = 1, size of lhs = 11:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), sum-{F}(V3,V3,V3), P_additive_inverse-{F}(V3,V3), P_aPb-{F}(V4), P_additive_identity-{F}(V5), P_additive_inverse-{F}(V1,V6), sum-{F}(V1,V6,V7), product-{F}(V3,V7,V8) | P_aPc-{T}(V8)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #176: mergings( V1 == V7, V7 == V8, V8 == V9, V9 == V10; #170 ), references = 1, size of lhs = 8:
% 9.33/9.50 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_inverse-{F}(V4,V4), P_additive_identity-{F}(V5) | P_aPb-{T}(V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #181: mergings( V1 == V7, V7 == V8, V8 == V9, V9 == V10; #171 ), references = 1, size of lhs = 8:
% 9.33/9.50 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_inverse-{F}(V4,V4), P_additive_identity-{F}(V5) | P_aPb-{T}(V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #202: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #197 ), references = 1, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V1), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V1,V2,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #209: mergings( V2 == V3, V3 == V5; #206 ), references = 1, size of lhs = 5:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V2), V2 == V1 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #213: mergings( V1 == V2, V2 == V4; #210 ), references = 1, size of lhs = 3:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1) | P_bS_Ic-{T}(V1)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #218: mergings( V2 == V7; #216 ), references = 3, size of lhs = 8:
% 9.33/9.50 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
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #221: mergings( V1 == V6; #219 ), references = 1, size of lhs = 6:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #243: mergings( V2 == V7, V7 == V14, V14 == V16, V13 == V21, V3 == V9, V9 == V17, V4 == V10, V10 == V18, V5 == V11, V11 == V19, V6 == V12, V12 == V20; #228 ), references = 1, size of lhs = 12:
% 9.33/9.50 P_additive_identity-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_additive_inverse-{F}(V4,V4), sum-{F}(V4,V4,V4), product-{F}(V4,V0,V5), product-{F}(V4,V3,V6), P_aPb-{F}(V7), P_additive_inverse-{F}(V5,V8), sum-{F}(V7,V8,V6) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #250: mergings( V2 == V3; #247 ), references = 2, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), product-{F}(V3,V1,V4), product-{F}(V3,V2,V5) | P_additive_inverse-{T}(V4,V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #252: mergings( V2 == V9; #248 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_b-{F}(V0), P_additive_inverse-{F}(V1,V0), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), product-{F}(V4,V1,V5), P_aPb-{F}(V6), P_additive_identity-{F}(V7) | P_additive_inverse-{T}(V5,V6)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #300: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V12, V12 == V13, V13 == V14, V7 == V15, V8 == V16, V9 == V17, V10 == V18, V11 == V0, V0 == V19; #286 ), references = 1, size of lhs = 13:
% 9.33/9.50 P_a-{F}(V0), P_aPc-{F}(V0), P_aPb-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V1,V1), sum-{F}(V1,V0,V0), P_b-{F}(V2), P_c-{F}(V3), P_additive_inverse-{F}(V3,V4), P_bS_Ic-{F}(V5), product-{F}(V0,V6,V0), P_additive_inverse-{F}(V6,V7), sum-{F}(V7,V6,V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #319: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V14, V14 == V15, V15 == V16, V0 == V10, V10 == V17, V16 == V4, V4 == V11, V12 == V13, V13 == V18; #303 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_c-{F}(V0), P_b-{F}(V0), P_bS_Ic-{F}(V1), P_additive_inverse-{F}(V1,V1), P_additive_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V1,V2,V2), P_aPc-{F}(V2), P_aPb-{F}(V2) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #332: mergings( V2 == V11, V3 == V0, V0 == V7, V4 == V8, V5 == V10, V11 == V8; #324 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_aPc-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), V1 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #339: mergings( V2 == V5, V5 == V11, V0 == V6, V3 == V7, V4 == V9, V11 == V7; #325 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_c-{F}(V0), P_b-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_aPc-{F}(V4), V3 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #348: mergings( V1 == V10, V2 == V3, V3 == V6, V4 == V7, V5 == V9, V10 == V7; #340 ), references = 2, size of lhs = 6:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3) | P_aPc-{T}(V3)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #367: mergings( V2 == V10; #365 ), references = 8, size of lhs = 11:
% 9.33/9.50 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_inverse-{F}(V5,V6), P_aPb_S_IaPc-{F}(V7), P_additive_identity-{F}(V8), sum-{F}(V4,V6,V9), V9 == V7 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #370: mergings( V1 == V9; #368 ), references = 1, size of lhs = 9:
% 9.33/9.50 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_inverse-{F}(V5,V6), P_additive_identity-{F}(V7), sum-{F}(V4,V6,V8) | P_aPb_S_IaPc-{T}(V8)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #389: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V0 == V9, V8 == V4, V5 == V11; #381 ), references = 1, size of lhs = 11:
% 9.33/9.50 P_c-{F}(V0), P_b-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_aPc-{F}(V4), P_additive_inverse-{F}(V4,V5), P_aPb_S_IaPc-{F}(V6), P_additive_inverse-{F}(V3,V7), sum-{F}(V7,V3,V6) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #408: mergings( V3 == V4, V4 == V5, V5 == V12; #404 ), references = 2, size of lhs = 11:
% 9.33/9.50 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), V6 == V5, P_additive_inverse-{F}(V7,V8), product-{F}(V8,V9,V4) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #428: mergings( V2 == V9; #426 ), references = 1, size of lhs = 11:
% 9.33/9.50 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), V6 == V5, product-{F}(V7,V8,V4), P_additive_inverse-{F}(V8,V9) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #438: mergings( V2 == V5, V5 == V12, V0 == V6, V6 == V7, V3 == V8, V4 == V9, V12 == V8; #430 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_aPc-{F}(V3), P_aPb_S_IaPc-{F}(V4), V1 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #447: mergings( V1 == V5, V5 == V11, V2 == V6, V6 == V7, V3 == V8, V4 == V9, V11 == V8; #439 ), references = 2, size of lhs = 7:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V0), P_bS_Ic-{F}(V1), P_additive_identity-{F}(V1), P_a-{F}(V2), P_aPb-{F}(V3), P_aPc-{F}(V3) | P_aPb_S_IaPc-{T}(V1)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #457: exists( #28, #24 ), references = 6, size of lhs = 10:
% 9.33/9.50 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_aPb_S_IaPc-{F}(V8), product-{F}(V5,V4,V8) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #494: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #489 ), references = 2, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V1), sum-{F}(V1,V1,V1), #-{F} V2 | P_multiply-{T}(V2,V1,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #504: exists( #28, #457 ), references = 5, size of lhs = 9:
% 9.33/9.50 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
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #516: mergings( V2 == V5, V5 == V7, V1 == V4, V4 == V8, V8 == V9, V7 == V10, V3 == V6, V6 == V11; #507 ), references = 1, size of lhs = 6:
% 9.33/9.50 P_additive_identity-{F}(V0), P_bS_Ic-{F}(V0), P_b-{F}(V1), P_c-{F}(V1), P_a-{F}(V2), product-{F}(V2,V0,V0) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #527: mergings( V1 == V3, V3 == V5, V5 == V6, V2 == V4, V4 == V7, V7 == V8, V6 == V9; #519 ), references = 1, size of lhs = 6:
% 9.33/9.50 P_additive_identity-{F}(V0), P_bS_Ic-{F}(V0), P_additive_inverse-{F}(V0,V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), P_c-{F}(V1) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #549: mergings( V2 == V3, V3 == V5, V5 == V11, V4 == V6, V0 == V7, V11 == V8; #542 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_aPc-{F}(V0), P_b-{F}(V0), P_aPb-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V2), P_a-{F}(V3), P_aPb_S_IaPc-{F}(V4), V2 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #557: mergings( V1 == V2, V2 == V5, V5 == V10, V3 == V6, V4 == V7, V10 == V8; #550 ), references = 1, size of lhs = 7:
% 9.33/9.50 P_aPc-{F}(V0), P_b-{F}(V0), P_aPb-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V2), P_a-{F}(V3) | P_aPb_S_IaPc-{T}(V2)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #571: mergings( V2 == V8; #567 ), references = 1, size of lhs = 9:
% 9.33/9.50 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), V6 == V5 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #574: mergings( V1 == V7; #572 ), references = 1, size of lhs = 7:
% 9.33/9.50 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)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #597: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8; #592 ), references = 1, size of lhs = 7:
% 9.33/9.50 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
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #619: mergings( V2 == V6, V3 == V7, V7 == V4, V5 == V9; #613 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_b-{F}(V0), P_aPb_S_IaPc-{F}(V1), P_aPb-{F}(V1), P_additive_identity-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_aPc-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #625: mergings( V2 == V6, V3 == V7, V0 == V8, V7 == V4, V5 == V10; #612 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_b-{F}(V0), P_aPb_S_IaPc-{F}(V1), P_aPb-{F}(V1), P_additive_identity-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_aPc-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #630: mergings( V2 == V6, V3 == V7, V7 == V4, V5 == V9; #614 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_b-{F}(V0), P_aPb_S_IaPc-{F}(V1), P_aPb-{F}(V1), P_additive_identity-{F}(V2), P_c-{F}(V3), P_a-{F}(V4), P_aPc-{F}(V5), P_additive_inverse-{F}(V5,V6) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #652: mergings( V2 == V5, V5 == V10, V10 == V11, V3 == V6, V4 == V7, V6 == V8; #645 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_b-{F}(V0), P_aPb-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPc-{F}(V3), P_additive_identity-{F}(V4), product-{F}(V3,V0,V5), V5 == V0 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #662: mergings( V3 == V4, V4 == V6, V6 == V11, V11 == V12, V1 == V7, V5 == V9, V7 == V10; #654 ), references = 1, size of lhs = 7:
% 9.33/9.50 P_b-{F}(V0), P_aPb-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPc-{F}(V3), P_additive_identity-{F}(V4) | P_multiply-{T}(V3,V0,V0)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #695: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V17, V4 == V7, V7 == V11, V5 == V8, V8 == V12, V9 == V13; #681 ), references = 2, size of lhs = 12:
% 9.33/9.50 P_aPc-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V0,V2,V6), product-{F}(V0,V5,V7), sum-{F}(V6,V3,V8), V8 == V7 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #714: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V14, V14 == V15, V15 == V16, V16 == V24, V4 == V7, V7 == V11, V11 == V17, V0 == V18, V5 == V8, V8 == V12, V12 == V19, V18 == V20, V9 == V13, V13 == V21, V17 == V22; #682 ), references = 1, size of lhs = 13:
% 9.33/9.50 P_b-{F}(V0), P_aPc-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), product-{F}(V0,V2,V3), P_additive_inverse-{F}(V0,V3), P_aPb_S_IaPc-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V0,V5,V6), product-{F}(V0,V6,V7), V7 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #720: mergings( V3 == V7; #718 ), references = 1, size of lhs = 10:
% 9.33/9.50 P_aPc-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V0,V2,V6), product-{F}(V0,V5,V7) | P_add-{T}(V6,V3,V7)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #726: mergings( V2 == V3, V3 == V4; #723 ), references = 2, size of lhs = 4:
% 9.33/9.50 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V1), sum-{F}(V0,V2,V3), V3 == V0 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #740: mergings( V2 == V4; #738 ), references = 1, size of lhs = 4:
% 9.33/9.50 P_b-{F}(V0), P_bS_Ic-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2) | P_additive_inverse-{T}(V1,V2)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #790: mergings( V2 == V3, V3 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V4 == V8, V8 == V16, V5 == V9, V9 == V17, V6 == V10, V10 == V19, V11 == V20; #775 ), references = 2, size of lhs = 10:
% 9.33/9.50 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), P_additive_inverse-{F}(V6,V8), sum-{F}(V8,V5,V7) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #805: mergings( V2 == V3, V3 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V4 == V8, V8 == V16, V0 == V17, V5 == V9, V9 == V18, V6 == V10, V10 == V20, V11 == V21; #774 ), references = 2, size of lhs = 10:
% 9.33/9.50 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), P_additive_inverse-{F}(V6,V8), sum-{F}(V8,V5,V7) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #820: mergings( V2 == V3, V3 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V4 == V8, V8 == V16, V5 == V9, V9 == V17, V6 == V10, V10 == V19, V11 == V20, V21 == V23; #776 ), references = 2, size of lhs = 10:
% 9.33/9.50 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), P_additive_inverse-{F}(V6,V8), sum-{F}(V8,V5,V7) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #840: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V11, V11 == V12, V12 == V13, V13 == V14, V5 == V8, V8 == V15, V6 == V9, V9 == V17, V0 == V10, V10 == V19; #826 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_aPb_S_IaPc-{F}(V0), P_additive_identity-{F}(V0), P_aPc-{F}(V1), P_aPb-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_bS_Ic-{F}(V4), P_a-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #855: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V11, V11 == V12, V12 == V13, V13 == V14, V5 == V8, V8 == V15, V6 == V9, V9 == V17, V0 == V10, V10 == V19, V19 == V20; #824 ), references = 1, size of lhs = 8:
% 9.33/9.50 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), P_aPb-{F}(V5), P_aPc-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #871: mergings( V2 == V3, V3 == V4, V4 == V7, V7 == V12, V12 == V13, V13 == V14, V14 == V15, V5 == V8, V8 == V16, V9 == V17, V6 == V10, V10 == V18, V0 == V11, V11 == V20, V20 == V21; #825 ), references = 1, size of lhs = 8:
% 9.33/9.50 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), P_aPb-{F}(V5), P_aPc-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #878: mergings( V3 == V10; #876 ), references = 1, size of lhs = 9:
% 9.33/9.50 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_inverse-{F}(V5,V6), P_aPb_S_IaPc-{F}(V7), P_additive_identity-{F}(V8) | P_add-{T}(V4,V6,V7)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #916: mergings( V2 == V6, V6 == V12, V12 == V13, V3 == V7, V4 == V8, V5 == V10; #909 ), references = 1, size of lhs = 10:
% 9.33/9.50 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}(V0,V7,V1), product-{F}(V4,V7,V8), V5 == V8 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #951: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V4 == V7, V5 == V8; #942 ), references = 3, size of lhs = 11:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V2,V0,V6), product-{F}(V5,V0,V7), sum-{F}(V3,V6,V8), V8 == V7 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #963: mergings( V3 == V4, V4 == V5, V5 == V8, V8 == V12, V12 == V13, V13 == V14, V14 == V15, V6 == V9, V7 == V11; #953 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V2,V0,V6), product-{F}(V5,V0,V7) | P_add-{T}(V3,V6,V7)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1021: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V6 == V10, V10 == V22, V7 == V11, V11 == V13, V0 == V23, V8 == V12, V12 == V24, V13 == V25; #1000 ), references = 1, size of lhs = 11:
% 9.33/9.50 P_c-{F}(V0), P_a-{F}(V0), P_aPb_S_IaPc-{F}(V0), P_bS_Ic-{F}(V1), P_aPc-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V0), P_b-{F}(V3), P_aPb-{F}(V4), P_additive_inverse-{F}(V4,V5), sum-{F}(V5,V3,V2) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1043: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V9, V9 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V6 == V10, V10 == V22, V0 == V23, V7 == V11, V11 == V13, V23 == V24, V8 == V12, V12 == V25, V13 == V26; #999 ), references = 1, size of lhs = 11:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_aPc-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_a-{F}(V3), P_aPb_S_IaPc-{F}(V3), sum-{F}(V1,V3,V3), P_aPb-{F}(V4), P_additive_inverse-{F}(V4,V5), sum-{F}(V5,V2,V1) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1068: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V0 == V8, V8 == V21, V6 == V9, V9 == V12, V10 == V22, V21 == V11, V11 == V23, V12 == V24; #1046 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_c-{F}(V0), P_a-{F}(V0), P_aPb_S_IaPc-{F}(V0), P_bS_Ic-{F}(V1), P_aPc-{F}(V1), P_additive_identity-{F}(V2), sum-{F}(V2,V0,V0), P_b-{F}(V3), P_aPb-{F}(V3) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1090: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V0 == V8, V8 == V21, V9 == V22, V6 == V10, V10 == V12, V22 == V23, V21 == V11, V11 == V24, V12 == V25; #1047 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_bS_Ic-{F}(V0), P_aPc-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_aPb-{F}(V2), P_c-{F}(V3), P_a-{F}(V3), P_aPb_S_IaPc-{F}(V3), sum-{F}(V1,V3,V3) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1097: mergings( V3 == V7; #1095 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V2,V0,V6), sum-{F}(V3,V6,V7) | P_multiply-{T}(V5,V0,V7)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1131: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V16; #1124 ), references = 3, size of lhs = 15:
% 9.33/9.50 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_aPb_S_IaPc-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V4,V8,V9), sum-{F}(V9,V10,V11), V11 == V6, sum-{F}(V12,V13,V5), sum-{F}(V10,V12,V14), sum-{F}(V8,V14,V15), sum-{F}(V15,V13,V7) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1148: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V19, V4 == V13, V0 == V14, V5 == V15; #1135 ), references = 2, size of lhs = 13:
% 9.33/9.50 P_aPc-{F}(V0), P_bS_Ic-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_aPb-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V7,V1,V6), sum-{F}(V8,V6,V7), sum-{F}(V4,V8,V9), sum-{F}(V9,V2,V10), V10 == V5 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1157: mergings( V2 == V7; #1155 ), references = 1, size of lhs = 10:
% 9.33/9.50 P_aPc-{F}(V0), P_bS_Ic-{F}(V0), P_b-{F}(V1), P_aPb-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_aPb_S_IaPc-{F}(V4), P_additive_identity-{F}(V5), sum-{F}(V5,V2,V6), V6 == V4 | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1160: mergings( V1 == V6; #1158 ), references = 1, size of lhs = 8:
% 9.33/9.50 P_aPc-{F}(V0), P_bS_Ic-{F}(V0), P_b-{F}(V1), P_aPb-{F}(V1), P_c-{F}(V2), P_a-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V4,V2,V5) | P_aPb_S_IaPc-{T}(V5)
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1182: mergings( V2 == V10, V3 == V5, V0 == V6, V4 == V7; #1176 ), references = 1, size of lhs = 9:
% 9.33/9.50 P_aPb-{F}(V0), P_b-{F}(V0), P_aPc-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_aPb_S_IaPc-{F}(V4), V2 == V4, P_additive_identity-{F}(V5) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1188: mergings( V2 == V3, V3 == V13, V4 == V6, V0 == V7, V5 == V8; #1177 ), references = 1, size of lhs = 13:
% 9.33/9.50 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_aPb_S_IaPc-{F}(V6), V2 == V6, P_additive_identity-{F}(V7), sum-{F}(V4,V8,V0), sum-{F}(V1,V9,V5), sum-{F}(V8,V7,V10), sum-{F}(V10,V9,V7) | FALSE
% 9.33/9.50 (used 0 times, uses = {})
% 9.33/9.50
% 9.33/9.50 #1195: mergings( V1 == V9, V2 == V5, V3 == V6, V4 == V7; #1189 ), references = 1, size of lhs = 7:
% 9.33/9.51 P_aPb-{F}(V0), P_b-{F}(V0), P_aPc-{F}(V1), P_c-{F}(V1), P_bS_Ic-{F}(V2), P_a-{F}(V3), P_additive_identity-{F}(V4) | P_aPb_S_IaPc-{T}(V2)
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1201: mergings( V1 == V2, V2 == V12, V3 == V6, V4 == V7, V5 == V8; #1190 ), references = 1, size of lhs = 11:
% 9.33/9.51 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), sum-{F}(V4,V7,V0), sum-{F}(V1,V8,V5), sum-{F}(V7,V6,V9), sum-{F}(V9,V8,V6) | P_aPb_S_IaPc-{T}(V2)
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1229: mergings( V2 == V5, V5 == V6, V3 == V7, V0 == V8, V4 == V9; #1221 ), references = 1, size of lhs = 8:
% 9.33/9.51 P_aPb-{F}(V0), P_b-{F}(V0), P_aPc-{F}(V1), P_c-{F}(V1), P_aPb_S_IaPc-{F}(V2), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1235: mergings( V2 == V5, V5 == V6, V3 == V7, V0 == V8, V4 == V9; #1222 ), references = 1, size of lhs = 8:
% 9.33/9.51 P_aPb-{F}(V0), P_b-{F}(V0), P_aPc-{F}(V1), P_c-{F}(V1), P_aPb_S_IaPc-{F}(V2), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1241: mergings( V2 == V5, V5 == V6, V3 == V7, V0 == V8, V4 == V9; #1223 ), references = 1, size of lhs = 8:
% 9.33/9.51 P_aPb-{F}(V0), P_b-{F}(V0), P_aPc-{F}(V1), P_c-{F}(V1), P_aPb_S_IaPc-{F}(V2), P_bS_Ic-{F}(V2), P_additive_identity-{F}(V3), P_a-{F}(V4) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1279: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V8; #1273 ), references = 2, size of lhs = 9:
% 9.33/9.51 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
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1287: mergings( V2 == V3, V3 == V6, V6 == V7, V7 == V12, V4 == V8, V0 == V9, V5 == V10; #1274 ), references = 1, size of lhs = 13:
% 9.33/9.51 P_b-{F}(V0), P_c-{F}(V1), P_a-{F}(V1), P_bS_Ic-{F}(V2), P_aPb-{F}(V3), P_additive_identity-{F}(V4), sum-{F}(V0,V4,V5), product-{F}(V2,V0,V6), sum-{F}(V0,V4,V6), product-{F}(V5,V0,V7), sum-{F}(V3,V2,V8), sum-{F}(V8,V1,V9), V9 == V7 | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1301: mergings( V3 == V7; #1299 ), references = 1, size of lhs = 7:
% 9.33/9.51 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)
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1340: mergings( V2 == V3, V3 == V6, V6 == V10, V10 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V4 == V7, V7 == V11, V5 == V8, V8 == V12, V9 == V13; #1325 ), references = 1, size of lhs = 13:
% 9.33/9.51 P_b-{F}(V0), P_additive_inverse-{F}(V0,V1), P_bS_Ic-{F}(V1), sum-{F}(V1,V0,V2), P_additive_identity-{F}(V2), P_c-{F}(V3), P_a-{F}(V3), P_aPb-{F}(V4), P_aPc-{F}(V5), P_additive_inverse-{F}(V4,V6), P_additive_inverse-{F}(V6,V7), sum-{F}(V7,V7,V8), V5 == V8 | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1406: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V14; #1401 ), references = 1, size of lhs = 15:
% 9.33/9.51 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_aPb_S_IaPc-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V4,V8,V7), sum-{F}(V9,V10,V5), sum-{F}(V11,V10,V7), sum-{F}(V8,V12,V11), product-{F}(V13,V14,V9), product-{F}(V13,V15,V12), sum-{F}(V14,V16,V15) | P_multiply-{T}(V13,V16,V6)
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1451: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V26, V26 == V28, V28 == V29, V4 == V6, V6 == V10, V10 == V20, V20 == V30, V21 == V0, V7 == V11, V11 == V22, V22 == V31, V23 == V32, V8 == V12, V12 == V24, V24 == V34, V13 == V25, V25 == V35; #1424 ), references = 2, size of lhs = 13:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_aPb-{F}(V6), sum-{F}(V6,V7,V0), P_aPc-{F}(V8), sum-{F}(V8,V9,V8), sum-{F}(V7,V6,V10), sum-{F}(V10,V9,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1479: mergings( V2 == V3, V3 == V5, V5 == V9, V9 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V26, V26 == V28, V28 == V29, V4 == V6, V6 == V10, V10 == V20, V20 == V30, V0 == V21, V21 == V31, V7 == V11, V11 == V22, V22 == V32, V23 == V33, V8 == V12, V12 == V24, V24 == V35, V13 == V25, V25 == V36; #1423 ), references = 2, size of lhs = 13:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb_S_IaPc-{F}(V5), P_aPb-{F}(V6), sum-{F}(V6,V7,V0), P_aPc-{F}(V8), sum-{F}(V8,V9,V8), sum-{F}(V7,V6,V10), sum-{F}(V10,V9,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1489: mergings( V2 == V3; #1486 ), references = 1, size of lhs = 11:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,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}(V7,V8,V7), sum-{F}(V0,V8,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1491: mergings( V2 == V3; #1487 ), references = 1, size of lhs = 11:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,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}(V7,V8,V7), sum-{F}(V0,V8,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1495: mergings( V1 == V2; #1492 ), references = 1, size of lhs = 10:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), sum-{F}(V6,V7,V6), sum-{F}(V0,V7,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1497: mergings( V1 == V2; #1493 ), references = 1, size of lhs = 10:
% 9.33/9.51 P_additive_identity-{F}(V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5), P_aPc-{F}(V6), sum-{F}(V6,V7,V6), sum-{F}(V0,V7,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1504: mergings( V1 == V2, V2 == V3; #1500 ), references = 1, size of lhs = 8:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1507: mergings( V1 == V2, V2 == V3; #1501 ), references = 1, size of lhs = 8:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4), P_aPb-{F}(V5) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1512: mergings( V1 == V2, V2 == V3; #1508 ), references = 1, size of lhs = 7:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3), P_a-{F}(V4) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1519: mergings( V1 == V2, V2 == V3; #1515 ), references = 1, size of lhs = 6:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2), P_bS_Ic-{F}(V3) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1526: mergings( V1 == V2, V2 == V3; #1522 ), references = 1, size of lhs = 5:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1), P_c-{F}(V2) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1533: mergings( V1 == V2, V2 == V3; #1529 ), references = 2, size of lhs = 4:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), P_b-{F}(V1), sum-{F}(V1,V0,V1) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1538: exists( #29, #1536 ), references = 1, size of lhs = 2:
% 9.33/9.51 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 #1541: exists( #25, #1539 ), references = 1, size of lhs = 0:
% 9.33/9.51 FALSE | FALSE
% 9.33/9.51 (used 0 times, uses = {})
% 9.33/9.51
% 9.33/9.51 number of learnt formulas = 96
% 9.33/9.51
% 9.33/9.51
% 9.33/9.51 % SZS output end Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.33/9.51
% 9.33/9.51 randbase = 1
%------------------------------------------------------------------------------