TSTP Solution File: RNG039-2 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n021.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 06:14:58 EDT 2022
% Result : Unsatisfiable 100.64s 100.81s
% Output : Refutation 100.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : RNG039-2 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jul 22 07:39:03 EDT 2022
% 0.13/0.34 % CPUTime :
% 100.64/100.81 GeoParameters:
% 100.64/100.81
% 100.64/100.81 tptp_input = 1
% 100.64/100.81 tptp_output = 0
% 100.64/100.81 nonempty = 1
% 100.64/100.81 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.64/100.81 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 100.64/100.81
% 100.64/100.81
% 100.64/100.81 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.64/100.81 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.64/100.81
% 100.64/100.81 RuleSystem INPUT:
% 100.64/100.81
% 100.64/100.81 Initial Rules:
% 100.64/100.81 #0: input, references = 3, size of lhs = 3:
% 100.64/100.81 equalish-{F}(V0,V1), P_add-{F}(V0,V2,V3), P_add-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1: input, references = 3, size of lhs = 3:
% 100.64/100.81 equalish-{F}(V0,V1), P_add-{F}(V2,V0,V3), P_add-{F}(V2,V1,V4) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2: input, references = 11, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), sum-{F}(V3,V1,V2) | sum-{T}(V0,V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #3: input, references = 34, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), sum-{F}(V1,V3,V2) | sum-{T}(V1,V0,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #4: input, references = 26, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), sum-{F}(V1,V2,V3) | sum-{T}(V1,V2,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #5: input, references = 3, size of lhs = 3:
% 100.64/100.81 equalish-{F}(V0,V1), P_multiply-{F}(V0,V2,V3), P_multiply-{F}(V1,V2,V4) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #6: input, references = 3, size of lhs = 3:
% 100.64/100.81 equalish-{F}(V0,V1), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V1,V4) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #7: input, references = 12, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), product-{F}(V3,V1,V2) | product-{T}(V0,V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #8: input, references = 18, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), product-{F}(V1,V3,V2) | product-{T}(V1,V0,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #9: input, references = 22, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V3,V0), product-{F}(V1,V2,V3) | product-{T}(V1,V2,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #10: input, references = 7, size of lhs = 1:
% 100.64/100.81 #-{F} V0 | equalish-{T}(V0,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #11: input, references = 6, size of lhs = 2:
% 100.64/100.81 equalish-{F}(V0,V1), equalish-{F}(V2,V0) | equalish-{T}(V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #12: input, references = 21, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V0,V1,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #13: input, references = 6, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V0,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #14: input, references = 29, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V2,V3) | product-{T}(V1,V2,V3)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #15: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V2,V3)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #16: input, references = 3, size of lhs = 4:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V3,V2,V1), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V3) | sum-{T}(V6,V4,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #17: input, references = 3, size of lhs = 4:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V5,V2,V4), sum-{F}(V6,V5,V3), sum-{F}(V6,V4,V1) | sum-{T}(V3,V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #18: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #19: input, references = 6, size of lhs = 4:
% 100.64/100.81 P_additive_identity-{F}(V0), product-{F}(V3,V2,V1), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3) | product-{T}(V6,V4,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #20: input, references = 3, size of lhs = 4:
% 100.64/100.81 P_additive_identity-{F}(V0), product-{F}(V5,V2,V4), product-{F}(V6,V5,V3), product-{F}(V6,V4,V1) | product-{T}(V3,V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #21: input, references = 6, size of lhs = 5:
% 100.64/100.81 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)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #22: input, references = 3, size of lhs = 5:
% 100.64/100.81 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)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #23: input, references = 3, size of lhs = 5:
% 100.64/100.81 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)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #24: input, references = 3, size of lhs = 5:
% 100.64/100.81 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)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #25: input, references = 10, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V0,V1,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #26: input, references = 4, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), #-{F} V1 | product-{T}(V1,V0,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #27: input, references = 24, size of lhs = 3:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V4,V3,V1), sum-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #28: input, references = 25, size of lhs = 3:
% 100.64/100.81 P_additive_identity-{F}(V0), product-{F}(V4,V3,V1), product-{F}(V4,V3,V2) | equalish-{T}(V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #29: input, references = 3, size of lhs = 3:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V3,V1,V2), sum-{F}(V4,V1,V2) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #30: input, references = 3, size of lhs = 3:
% 100.64/100.81 P_additive_identity-{F}(V0), sum-{F}(V4,V1,V3), sum-{F}(V4,V2,V3) | equalish-{T}(V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #31: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V1,V3,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #32: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V2,V3) | sum-{T}(V3,V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #33: input, references = 7, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), #-{F} V1 | sum-{T}(V1,V1,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #34: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V0,V2) | equalish-{T}(V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #35: input, references = 3, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_add-{F}(V1,V1,V2) | equalish-{T}(V2,V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #36: input, references = 9, size of lhs = 2:
% 100.64/100.81 P_additive_identity-{F}(V0), P_multiply-{F}(V1,V1,V2) | equalish-{T}(V2,V1)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #37: input, references = 19, size of lhs = 5:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4) | equalish-{T}(V3,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #38: input, references = 19, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6) | equalish-{T}(V5,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #39: input, references = 3, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_add-{F}(V8,V7,V9) | sum-{T}(V7,V8,V9)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #40: input, references = 3, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6) | product-{T}(V1,V4,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #41: input, references = 3, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6) | product-{T}(V2,V6,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #42: input, references = 3, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6) | product-{T}(V4,V2,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #43: input, references = 3, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6) | product-{T}(V6,V1,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #44: input, references = 6, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V7,V8,V9) | product-{T}(V7,V9,V9)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #45: input, references = 26, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V2,V7,V9), P_multiply-{F}(V8,V7,V10) | product-{T}(V1,V9,V10)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #46: input, references = 3, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7) | product-{T}(V1,V2,V7)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #47: input, references = 6, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8) | product-{T}(V1,V8,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #48: input, references = 3, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V9,V10), P_multiply-{F}(V6,V9,V11) | product-{T}(V2,V10,V11)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #49: input, references = 3, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9) | product-{T}(V2,V1,V9)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #50: input, references = 3, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10) | product-{T}(V2,V10,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #51: input, references = 3, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11) | product-{T}(V2,V4,V11)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #52: input, references = 3, size of lhs = 13:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12) | product-{T}(V1,V6,V12)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #53: input, references = 3, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V13,V14,V15) | product-{T}(V15,V14,V15)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #54: input, references = 3, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V13,V1,V14), P_multiply-{F}(V13,V4,V15) | product-{T}(V14,V2,V15)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #55: input, references = 3, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V1,V2,V13)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #56: input, references = 3, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V12,V2,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #57: input, references = 3, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13) | product-{T}(V6,V2,V8)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #58: input, references = 3, size of lhs = 16:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V14,V2,V15), P_multiply-{F}(V14,V6,V16) | product-{T}(V15,V1,V16)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #59: input, references = 3, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V2,V1,V14)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #60: input, references = 3, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V11,V1,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #61: input, references = 3, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14) | product-{T}(V4,V1,V10)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #62: input, references = 3, size of lhs = 17:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16) | product-{T}(V1,V15,V16)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #63: input, references = 3, size of lhs = 19:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18) | product-{T}(V1,V17,V18)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #64: input, references = 3, size of lhs = 20:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19) | product-{T}(V2,V17,V19)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #65: input, references = 3, size of lhs = 21:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20) | product-{T}(V2,V15,V20)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #66: input, references = 3, size of lhs = 22:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21) | product-{T}(V17,V2,V21)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #67: input, references = 3, size of lhs = 23:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22) | product-{T}(V15,V2,V22)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #68: input, references = 3, size of lhs = 24:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23) | product-{T}(V15,V1,V23)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #69: input, references = 3, size of lhs = 25:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V17,V1,V24)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #70: input, references = 3, size of lhs = 26:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24), #-{F} V25 | product-{T}(V25,V25,V25)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #71: input, references = 3, size of lhs = 25:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V1,V2,V4)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #72: input, references = 3, size of lhs = 25:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24) | product-{T}(V2,V1,V6)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #73: input, references = 5, size of lhs = 26:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V1,V9), P_multiply-{F}(V1,V6,V10), P_multiply-{F}(V6,V2,V11), P_multiply-{F}(V4,V1,V12), P_multiply-{F}(V1,V4,V13), P_multiply-{F}(V2,V6,V14), P_add-{F}(V2,V1,V15), P_add-{F}(V4,V1,V16), P_add-{F}(V1,V2,V17), P_add-{F}(V1,V4,V18), P_add-{F}(V6,V2,V19), P_add-{F}(V2,V6,V20), P_add-{F}(V4,V2,V21), P_add-{F}(V2,V4,V22), P_add-{F}(V6,V1,V23), P_add-{F}(V1,V6,V24), equalish-{F}(V4,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #74: input, references = 19, size of lhs = 2:
% 100.64/100.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #75: input, references = 49, size of lhs = 2:
% 100.64/100.81 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #76: input, references = 4, size of lhs = 0:
% 100.64/100.81 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #77: input, references = 4, size of lhs = 0:
% 100.64/100.81 FALSE | EXISTS V0: P_a-{T}(V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #78: input, references = 5, size of lhs = 0:
% 100.64/100.81 FALSE | EXISTS V0: P_b-{T}(V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #79: input, references = 5, size of lhs = 0:
% 100.64/100.81 FALSE | EXISTS V0: P_c-{T}(V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #80: input, references = 8, size of lhs = 0:
% 100.64/100.81 FALSE | EXISTS V0: P_d-{T}(V0)
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 number of initial rules = 81
% 100.64/100.81
% 100.64/100.81 Simplifiers:
% 100.64/100.81 #81: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #82: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #83: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #84: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #85: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #86: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #87: unsound, references = 3, size of lhs = 3:
% 100.64/100.81 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 number of simplifiers = 7
% 100.64/100.81
% 100.64/100.81 Learnt:
% 100.64/100.81 #101: mergings( V11 == V12, V12 == V19, V13 == V14, V14 == V20, V15 == V16, V16 == V17, V17 == V18, V4 == V7, V5 == V6, V6 == V8, V7 == V9, V8 == V10; #88 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V2,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #113: mergings( V11 == V12, V12 == V17, V13 == V14, V14 == V15, V15 == V16, V4 == V7, V5 == V6, V6 == V8, V7 == V9, V8 == V10; #102 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V2,V5), P_add-{F}(V2,V1,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #123: mergings( V8 == V9, V9 == V14, V10 == V11, V11 == V12, V12 == V13, V4 == V5, V5 == V6, V6 == V7; #114 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2), P_multiply-{F}(V2,V2,V3), P_add-{F}(V2,V2,V4), P_add-{F}(V2,V1,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #131: mergings( V8 == V9, V9 == V10, V10 == V11, V4 == V5, V5 == V6, V6 == V7; #124 ), references = 1, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2), P_multiply-{F}(V2,V2,V3), P_add-{F}(V2,V2,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #136: mergings( V4 == V5, V5 == V6, V6 == V7; #132 ), references = 1, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2), P_add-{F}(V2,V2,V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #138: exists( #74, #132 ), references = 1, size of lhs = 6:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V2), equalish-{F}(V2,V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #140: exists( #75, #73 ), references = 1, size of lhs = 25:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V6,V9), P_multiply-{F}(V6,V2,V10), P_multiply-{F}(V4,V1,V11), P_multiply-{F}(V1,V4,V12), P_multiply-{F}(V2,V6,V13), P_add-{F}(V2,V1,V14), P_add-{F}(V4,V1,V15), P_add-{F}(V1,V2,V16), P_add-{F}(V1,V4,V17), P_add-{F}(V6,V2,V18), P_add-{F}(V2,V6,V19), P_add-{F}(V4,V2,V20), P_add-{F}(V2,V4,V21), P_add-{F}(V6,V1,V22), P_add-{F}(V1,V6,V23) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #142: exists( #74, #139 ), references = 1, size of lhs = 24:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V6,V9), P_multiply-{F}(V6,V2,V10), P_multiply-{F}(V4,V1,V11), P_multiply-{F}(V1,V4,V12), P_multiply-{F}(V2,V6,V13), P_add-{F}(V2,V1,V14), P_add-{F}(V4,V1,V15), P_add-{F}(V1,V2,V16), P_add-{F}(V1,V4,V17), P_add-{F}(V6,V2,V18), P_add-{F}(V2,V6,V19), P_add-{F}(V4,V2,V20), P_add-{F}(V2,V4,V21), P_add-{F}(V1,V6,V22) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #144: exists( #75, #141 ), references = 1, size of lhs = 23:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V2,V9), P_multiply-{F}(V4,V1,V10), P_multiply-{F}(V1,V4,V11), P_multiply-{F}(V2,V6,V12), P_add-{F}(V2,V1,V13), P_add-{F}(V4,V1,V14), P_add-{F}(V1,V2,V15), P_add-{F}(V1,V4,V16), P_add-{F}(V6,V2,V17), P_add-{F}(V2,V6,V18), P_add-{F}(V4,V2,V19), P_add-{F}(V2,V4,V20), P_add-{F}(V1,V6,V21) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #146: exists( #74, #143 ), references = 1, size of lhs = 22:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V6,V2,V9), P_multiply-{F}(V4,V1,V10), P_multiply-{F}(V1,V4,V11), P_multiply-{F}(V2,V6,V12), P_add-{F}(V2,V1,V13), P_add-{F}(V4,V1,V14), P_add-{F}(V1,V2,V15), P_add-{F}(V1,V4,V16), P_add-{F}(V6,V2,V17), P_add-{F}(V2,V6,V18), P_add-{F}(V4,V2,V19), P_add-{F}(V2,V4,V20) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #148: exists( #75, #145 ), references = 1, size of lhs = 21:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V4,V1,V9), P_multiply-{F}(V1,V4,V10), P_multiply-{F}(V2,V6,V11), P_add-{F}(V2,V1,V12), P_add-{F}(V4,V1,V13), P_add-{F}(V1,V2,V14), P_add-{F}(V1,V4,V15), P_add-{F}(V6,V2,V16), P_add-{F}(V2,V6,V17), P_add-{F}(V4,V2,V18), P_add-{F}(V2,V4,V19) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #150: exists( #74, #147 ), references = 2, size of lhs = 20:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V4,V1,V9), P_multiply-{F}(V1,V4,V10), P_multiply-{F}(V2,V6,V11), P_add-{F}(V2,V1,V12), P_add-{F}(V4,V1,V13), P_add-{F}(V1,V2,V14), P_add-{F}(V1,V4,V15), P_add-{F}(V2,V6,V16), P_add-{F}(V4,V2,V17), P_add-{F}(V2,V4,V18) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #152: exists( #75, #149 ), references = 2, size of lhs = 19:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V4,V1,V9), P_multiply-{F}(V1,V4,V10), P_add-{F}(V2,V1,V11), P_add-{F}(V4,V1,V12), P_add-{F}(V1,V2,V13), P_add-{F}(V1,V4,V14), P_add-{F}(V2,V6,V15), P_add-{F}(V4,V2,V16), P_add-{F}(V2,V4,V17) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #154: exists( #74, #151 ), references = 2, size of lhs = 18:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V4,V1,V9), P_multiply-{F}(V1,V4,V10), P_add-{F}(V2,V1,V11), P_add-{F}(V4,V1,V12), P_add-{F}(V1,V2,V13), P_add-{F}(V1,V4,V14), P_add-{F}(V4,V2,V15), P_add-{F}(V2,V4,V16) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #161: mergings( V9 == V10, V11 == V12, V13 == V14, V4 == V8, V6 == V7; #155 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V2,V3), P_multiply-{F}(V2,V2,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7), P_add-{F}(V2,V2,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #167: mergings( V9 == V10, V11 == V12, V4 == V8, V6 == V7; #162 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V2,V3), P_multiply-{F}(V2,V2,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V2,V2,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #172: mergings( V7 == V8, V9 == V10, V5 == V6; #168 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V2,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V1,V5), P_add-{F}(V2,V2,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #176: mergings( V7 == V8, V5 == V6; #173 ), references = 2, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V2,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V2,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #260: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V0 == V12, V1 == V13, V9 == V13; #247 ), references = 3, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V0,V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V2,V5), product-{F}(V1,V2,V6), sum-{F}(V0,V6,V7), sum-{F}(V7,V2,V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #272: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V8 == V13, V9 == V0, V10 == V0; #261 ), references = 3, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), P_d-{F}(V3), equalish-{F}(V0,V3), P_add-{F}(V2,V2,V4), product-{F}(V1,V2,V5), sum-{F}(V0,V5,V6), sum-{F}(V6,V2,V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #293: mergings( V3 == V5, V0 == V6, V1 == V7, V4 == V7; #287 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V0), P_c-{F}(V2), P_d-{F}(V3), P_add-{F}(V2,V2,V4), product-{F}(V1,V2,V5), sum-{F}(V0,V5,V6), sum-{F}(V6,V2,V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #298: mergings( V3 == V5, V0 == V6, V1 == V7, V4 == V7; #288 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V0), P_c-{F}(V2), P_d-{F}(V3), P_multiply-{F}(V2,V2,V4), P_add-{F}(V2,V2,V5), product-{F}(V1,V2,V6), sum-{F}(V0,V6,V7), sum-{F}(V7,V2,V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #309: mergings( V3 == V6, V0 == V8, V1 == V9, V4 == V9; #303 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), equalish-{F}(V0,V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_multiply-{F}(V4,V3,V1), P_c-{F}(V4), P_add-{F}(V4,V4,V5), product-{F}(V3,V4,V6), sum-{F}(V0,V6,V7), sum-{F}(V7,V4,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #314: mergings( V3 == V6, V0 == V8, V1 == V9, V4 == V9; #304 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), equalish-{F}(V0,V1), P_d-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_multiply-{F}(V4,V3,V1), P_c-{F}(V4), P_multiply-{F}(V4,V4,V5), P_add-{F}(V4,V4,V6), product-{F}(V3,V4,V7), sum-{F}(V0,V7,V8), sum-{F}(V8,V4,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #331: mergings( V3 == V4, V4 == V5, V5 == V7, V1 == V9, V0 == V10, V6 == V10; #323 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V3,V2,V0), P_c-{F}(V3), sum-{F}(V0,V3,V3), P_add-{F}(V3,V3,V4), product-{F}(V2,V3,V5), sum-{F}(V0,V5,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #339: mergings( V2 == V3, V3 == V4, V4 == V8, V5 == V10, V6 == V0, V7 == V0; #332 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_d-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), product-{F}(V3,V2,V0), P_c-{F}(V3), sum-{F}(V0,V3,V3), product-{F}(V2,V3,V4), sum-{F}(V0,V4,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #347: mergings( V1 == V2, V2 == V3, V3 == V7, V4 == V8, V5 == V9, V6 == V9; #340 ), references = 3, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V2,V1,V0), P_c-{F}(V2), sum-{F}(V0,V2,V2), product-{F}(V1,V2,V3), sum-{F}(V0,V3,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #351: exists( #75, #154 ), references = 1, size of lhs = 17:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V4,V9), P_add-{F}(V2,V1,V10), P_add-{F}(V4,V1,V11), P_add-{F}(V1,V2,V12), P_add-{F}(V1,V4,V13), P_add-{F}(V4,V2,V14), P_add-{F}(V2,V4,V15) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #352: exists( #75, #152 ), references = 1, size of lhs = 18:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V4,V9), P_add-{F}(V2,V1,V10), P_add-{F}(V4,V1,V11), P_add-{F}(V1,V2,V12), P_add-{F}(V1,V4,V13), P_add-{F}(V2,V6,V14), P_add-{F}(V4,V2,V15), P_add-{F}(V2,V4,V16) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #353: exists( #75, #150 ), references = 1, size of lhs = 19:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V1,V4,V9), P_multiply-{F}(V2,V6,V10), P_add-{F}(V2,V1,V11), P_add-{F}(V4,V1,V12), P_add-{F}(V1,V2,V13), P_add-{F}(V1,V4,V14), P_add-{F}(V2,V6,V15), P_add-{F}(V4,V2,V16), P_add-{F}(V2,V4,V17) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #357: exists( #75, #348 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V4,V1,V10), P_add-{F}(V1,V2,V11), P_add-{F}(V1,V4,V12), P_add-{F}(V4,V2,V13), P_add-{F}(V2,V4,V14) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #358: exists( #75, #349 ), references = 1, size of lhs = 17:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V4,V1,V10), P_add-{F}(V1,V2,V11), P_add-{F}(V1,V4,V12), P_add-{F}(V2,V6,V13), P_add-{F}(V4,V2,V14), P_add-{F}(V2,V4,V15) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #359: exists( #75, #350 ), references = 1, size of lhs = 18:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V2,V6,V9), P_add-{F}(V2,V1,V10), P_add-{F}(V4,V1,V11), P_add-{F}(V1,V2,V12), P_add-{F}(V1,V4,V13), P_add-{F}(V2,V6,V14), P_add-{F}(V4,V2,V15), P_add-{F}(V2,V4,V16) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #363: exists( #74, #354 ), references = 1, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V1,V2,V10), P_add-{F}(V1,V4,V11), P_add-{F}(V4,V2,V12), P_add-{F}(V2,V4,V13) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #364: exists( #74, #355 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V1,V2,V10), P_add-{F}(V1,V4,V11), P_add-{F}(V2,V6,V12), P_add-{F}(V4,V2,V13), P_add-{F}(V2,V4,V14) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #365: exists( #74, #356 ), references = 1, size of lhs = 17:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V2,V6,V9), P_add-{F}(V2,V1,V10), P_add-{F}(V1,V2,V11), P_add-{F}(V1,V4,V12), P_add-{F}(V2,V6,V13), P_add-{F}(V4,V2,V14), P_add-{F}(V2,V4,V15) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #369: exists( #74, #360 ), references = 1, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V1,V2,V10), P_add-{F}(V4,V2,V11), P_add-{F}(V2,V4,V12) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #370: exists( #74, #361 ), references = 1, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V1,V2,V10), P_add-{F}(V2,V6,V11), P_add-{F}(V4,V2,V12), P_add-{F}(V2,V4,V13) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #371: exists( #74, #362 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V4,V2,V7), P_multiply-{F}(V2,V4,V8), P_multiply-{F}(V2,V6,V9), P_add-{F}(V2,V1,V10), P_add-{F}(V1,V2,V11), P_add-{F}(V2,V6,V12), P_add-{F}(V4,V2,V13), P_add-{F}(V2,V4,V14) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #375: exists( #75, #366 ), references = 1, size of lhs = 13:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V2,V4,V7), P_add-{F}(V2,V1,V8), P_add-{F}(V1,V2,V9), P_add-{F}(V4,V2,V10), P_add-{F}(V2,V4,V11) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #376: exists( #75, #367 ), references = 1, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V2,V4,V7), P_add-{F}(V2,V1,V8), P_add-{F}(V1,V2,V9), P_add-{F}(V2,V6,V10), P_add-{F}(V4,V2,V11), P_add-{F}(V2,V4,V12) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #377: exists( #75, #368 ), references = 1, size of lhs = 15:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_multiply-{F}(V2,V4,V7), P_multiply-{F}(V2,V6,V8), P_add-{F}(V2,V1,V9), P_add-{F}(V1,V2,V10), P_add-{F}(V2,V6,V11), P_add-{F}(V4,V2,V12), P_add-{F}(V2,V4,V13) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #381: exists( #75, #372 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_add-{F}(V2,V1,V7), P_add-{F}(V1,V2,V8), P_add-{F}(V4,V2,V9), P_add-{F}(V2,V4,V10) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #382: exists( #75, #373 ), references = 1, size of lhs = 13:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_add-{F}(V2,V1,V7), P_add-{F}(V1,V2,V8), P_add-{F}(V2,V6,V9), P_add-{F}(V4,V2,V10), P_add-{F}(V2,V4,V11) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #384: mergings( V9 == V11; #380 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V4), equalish-{F}(V4,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7), P_add-{F}(V4,V2,V8), P_add-{F}(V2,V4,V9) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #388: exists( #74, #378 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_add-{F}(V2,V1,V7), P_add-{F}(V1,V2,V8), P_add-{F}(V2,V4,V9) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #389: exists( #74, #379 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_add-{F}(V2,V1,V7), P_add-{F}(V1,V2,V8), P_add-{F}(V2,V6,V9), P_add-{F}(V2,V4,V10) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #391: mergings( V9 == V10; #387 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V4), equalish-{F}(V4,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7), P_add-{F}(V2,V4,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #395: exists( #74, #385 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_multiply-{F}(V2,V1,V5), P_d-{F}(V6), equalish-{F}(V4,V6), P_add-{F}(V2,V1,V7), P_add-{F}(V1,V2,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #396: exists( #74, #386 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V4), equalish-{F}(V4,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #397: exists( #74, #387 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V1,V2,V3), P_c-{F}(V4), P_d-{F}(V4), equalish-{F}(V4,V4), P_multiply-{F}(V2,V1,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #401: exists( #75, #392 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V1,V4), P_d-{F}(V5), equalish-{F}(V3,V5), P_add-{F}(V2,V1,V6), P_add-{F}(V1,V2,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #402: exists( #75, #393 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V3), P_multiply-{F}(V2,V1,V4), P_add-{F}(V2,V1,V5), P_add-{F}(V1,V2,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #403: exists( #75, #394 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V3), P_multiply-{F}(V2,V1,V4), P_add-{F}(V2,V1,V5), P_add-{F}(V1,V2,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #407: exists( #74, #398 ), references = 1, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_multiply-{F}(V2,V1,V4), P_d-{F}(V5), equalish-{F}(V3,V5), P_add-{F}(V2,V1,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #408: exists( #74, #399 ), references = 1, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V3), P_multiply-{F}(V2,V1,V4), P_add-{F}(V2,V1,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #409: exists( #74, #400 ), references = 1, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), equalish-{F}(V3,V3), P_multiply-{F}(V2,V1,V4), P_add-{F}(V2,V1,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #413: exists( #75, #404 ), references = 1, size of lhs = 7:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), equalish-{F}(V3,V4), P_add-{F}(V2,V1,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #417: exists( #74, #410 ), references = 3, size of lhs = 6:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), equalish-{F}(V3,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #503: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V8, V0 == V9, V1 == V10, V6 == V11; #493 ), references = 7, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V3,V3), product-{F}(V1,V2,V6), sum-{F}(V5,V6,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #512: mergings( V3 == V6, V0 == V7, V1 == V8, V4 == V9; #507 ), references = 3, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_c-{F}(V4), P_d-{F}(V5), sum-{F}(V6,V4,V4), product-{F}(V1,V2,V7), sum-{F}(V6,V7,V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #522: mergings( V3 == V4, V4 == V5; #519 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V4), sum-{F}(V5,V3,V3), product-{F}(V1,V2,V6), sum-{F}(V5,V6,V7), product-{F}(V2,V1,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #526: mergings( V1 == V2, V2 == V3; #523 ), references = 5, size of lhs = 8:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V3), sum-{F}(V4,V3,V3), product-{F}(V1,V2,V5), sum-{F}(V4,V5,V6), product-{F}(V2,V1,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #532: mergings( V1 == V2, V2 == V3, V3 == V4; #528 ), references = 7, size of lhs = 6:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), product-{F}(V1,V2,V3), sum-{F}(V0,V3,V4), product-{F}(V2,V1,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #537: mergings( V1 == V2; #535 ), references = 1, size of lhs = 3:
% 100.64/100.81 P_a-{F}(V0), P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #808: mergings( V3 == V7, V0 == V6, V1 == V8; #802 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_a-{F}(V1), P_additive_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V1,V4), product-{F}(V4,V3,V5), sum-{F}(V2,V5,V6), product-{F}(V3,V1,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #813: mergings( V3 == V6, V0 == V7, V1 == V8, V4 == V10; #803 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_d-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), product-{F}(V3,V2,V4), P_c-{F}(V5), sum-{F}(V6,V5,V5), sum-{F}(V6,V4,V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #818: mergings( V3 == V7, V0 == V6, V1 == V8, V4 == V8; #804 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_d-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), product-{F}(V2,V0,V1), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_multiply-{F}(V2,V0,V3), product-{F}(V3,V2,V4), sum-{F}(V1,V4,V1) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #929: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V1 == V14, V6 == V8; #918 ), references = 1, size of lhs = 15:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V0,V6), equalish-{F}(V6,V4), equalish-{F}(V4,V7), equalish-{F}(V7,V4), P_multiply-{F}(V4,V8,V7), P_multiply-{F}(V9,V8,V10), sum-{F}(V2,V10,V11), sum-{F}(V10,V2,V12), product-{F}(V12,V3,V11) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #939: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V1 == V14, V6 == V8, V8 == V14; #919 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), sum-{F}(V1,V3,V3), P_multiply-{F}(V3,V2,V4), equalish-{F}(V3,V5), equalish-{F}(V5,V3), equalish-{F}(V3,V6), equalish-{F}(V6,V3), P_multiply-{F}(V3,V7,V6), sum-{F}(V1,V8,V1), sum-{F}(V8,V1,V9), product-{F}(V9,V2,V1), P_multiply-{F}(V10,V7,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #949: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V1 == V14, V6 == V8, V8 == V15; #920 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), P_c-{F}(V5), sum-{F}(V6,V5,V5), equalish-{F}(V5,V7), equalish-{F}(V7,V3), equalish-{F}(V3,V8), equalish-{F}(V8,V3), P_multiply-{F}(V3,V9,V8), P_multiply-{F}(V10,V9,V11), sum-{F}(V6,V11,V12), sum-{F}(V11,V1,V13), product-{F}(V13,V2,V12) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #961: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V0 == V13, V6 == V8; #950 ), references = 2, size of lhs = 14:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), equalish-{F}(V0,V5), equalish-{F}(V5,V4), equalish-{F}(V4,V6), equalish-{F}(V6,V4), P_multiply-{F}(V4,V7,V6), P_multiply-{F}(V8,V7,V9), sum-{F}(V2,V9,V10), sum-{F}(V9,V2,V11), product-{F}(V11,V3,V10) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #971: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V0 == V13, V6 == V8, V8 == V13; #951 ), references = 2, size of lhs = 15:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), sum-{F}(V1,V3,V3), equalish-{F}(V3,V4), equalish-{F}(V4,V3), equalish-{F}(V3,V5), equalish-{F}(V5,V3), P_multiply-{F}(V3,V6,V5), sum-{F}(V1,V7,V1), sum-{F}(V7,V1,V8), product-{F}(V8,V2,V1), P_multiply-{F}(V9,V6,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #981: mergings( V3 == V4, V4 == V5, V5 == V7, V7 == V10, V10 == V11, V11 == V12, V0 == V13, V6 == V8, V8 == V14; #952 ), references = 2, size of lhs = 15:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), equalish-{F}(V6,V3), equalish-{F}(V3,V7), equalish-{F}(V7,V3), P_multiply-{F}(V3,V8,V7), P_multiply-{F}(V9,V8,V10), sum-{F}(V5,V10,V11), sum-{F}(V10,V1,V12), product-{F}(V12,V2,V11) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1000: mergings( V3 == V4, V4 == V5, V5 == V8; #994 ), references = 1, size of lhs = 16:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), equalish-{F}(V0,V5), equalish-{F}(V5,V4), equalish-{F}(V4,V6), equalish-{F}(V6,V4), P_multiply-{F}(V4,V7,V6), product-{F}(V8,V9,V2), sum-{F}(V7,V9,V10), product-{F}(V8,V10,V11), product-{F}(V11,V3,V12), product-{F}(V8,V7,V13), sum-{F}(V2,V13,V12) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1004: mergings( V3 == V4, V4 == V5, V5 == V7; #995 ), references = 1, size of lhs = 17:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), sum-{F}(V1,V3,V3), equalish-{F}(V3,V4), equalish-{F}(V4,V3), equalish-{F}(V3,V5), equalish-{F}(V5,V3), P_multiply-{F}(V3,V6,V5), sum-{F}(V1,V7,V1), product-{F}(V8,V6,V7), product-{F}(V8,V9,V1), sum-{F}(V6,V9,V10), product-{F}(V8,V10,V11), product-{F}(V11,V2,V1) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1008: mergings( V3 == V4, V4 == V5, V5 == V7; #996 ), references = 1, size of lhs = 17:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), equalish-{F}(V6,V3), equalish-{F}(V3,V7), equalish-{F}(V7,V3), P_multiply-{F}(V3,V8,V7), product-{F}(V9,V10,V1), sum-{F}(V8,V10,V11), product-{F}(V9,V11,V12), product-{F}(V12,V2,V13), product-{F}(V9,V8,V14), sum-{F}(V5,V14,V13) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1030: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V10; #1021 ), references = 3, size of lhs = 14:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), equalish-{F}(V0,V5), equalish-{F}(V5,V4), product-{F}(V6,V7,V2), sum-{F}(V4,V7,V8), product-{F}(V6,V8,V9), product-{F}(V9,V3,V10), product-{F}(V6,V4,V11), sum-{F}(V2,V11,V10) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1037: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1022 ), references = 1, size of lhs = 14:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V3), sum-{F}(V1,V3,V3), equalish-{F}(V3,V4), equalish-{F}(V4,V3), sum-{F}(V1,V5,V1), product-{F}(V6,V3,V5), product-{F}(V6,V7,V1), sum-{F}(V3,V7,V8), product-{F}(V6,V8,V9), product-{F}(V9,V2,V1) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1044: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9; #1023 ), references = 1, size of lhs = 15:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), equalish-{F}(V6,V3), product-{F}(V7,V8,V1), sum-{F}(V3,V8,V9), product-{F}(V7,V9,V10), product-{F}(V10,V2,V11), product-{F}(V7,V3,V12), sum-{F}(V5,V12,V11) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1054: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8; #1045 ), references = 3, size of lhs = 13:
% 100.64/100.81 P_c-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), equalish-{F}(V0,V4), equalish-{F}(V4,V3), product-{F}(V5,V6,V1), sum-{F}(V3,V6,V7), product-{F}(V5,V7,V8), product-{F}(V8,V2,V9), product-{F}(V5,V3,V10), sum-{F}(V1,V10,V9) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1061: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1046 ), references = 1, size of lhs = 13:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_c-{F}(V2), sum-{F}(V0,V2,V2), equalish-{F}(V2,V3), equalish-{F}(V3,V2), sum-{F}(V0,V4,V0), product-{F}(V5,V2,V4), product-{F}(V5,V6,V0), sum-{F}(V2,V6,V7), product-{F}(V5,V7,V8), product-{F}(V8,V1,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1068: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7; #1047 ), references = 3, size of lhs = 14:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), sum-{F}(V0,V2,V2), P_c-{F}(V3), sum-{F}(V4,V3,V3), equalish-{F}(V3,V5), equalish-{F}(V5,V2), product-{F}(V6,V7,V0), sum-{F}(V2,V7,V8), product-{F}(V6,V8,V9), product-{F}(V9,V1,V10), product-{F}(V6,V2,V11), sum-{F}(V4,V11,V10) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1289: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V13, V8 == V0, V10 == V14; #1277 ), references = 4, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V4), sum-{F}(V5,V1,V6), product-{F}(V2,V1,V7), product-{F}(V1,V7,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1298: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V13, V8 == V0; #1278 ), references = 4, size of lhs = 12:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), product-{F}(V3,V2,V5), sum-{F}(V6,V2,V5), sum-{F}(V6,V2,V7), product-{F}(V3,V2,V8), product-{F}(V2,V8,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1309: mergings( V9 == V14, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V11, V11 == V12, V12 == V13, V8 == V0, V10 == V15; #1279 ), references = 2, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V3), sum-{F}(V5,V1,V6), product-{F}(V2,V1,V7), product-{F}(V1,V7,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1325: mergings( V3 == V6, V0 == V7, V1 == V8, V4 == V5; #1319 ), references = 1, size of lhs = 6:
% 100.64/100.81 P_c-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V0), P_d-{F}(V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1358: mergings( V3 == V7, V0 == V8, V1 == V9, V5 == V10, V4 == V8, V6 == V11; #1350 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), product-{F}(V2,V1,V3), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V4), sum-{F}(V5,V1,V6), product-{F}(V1,V4,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1365: mergings( V3 == V8, V0 == V9, V1 == V10, V5 == V11, V4 == V9, V6 == V7; #1351 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), product-{F}(V3,V2,V4), P_multiply-{F}(V3,V2,V4), sum-{F}(V5,V2,V0), sum-{F}(V5,V2,V6), product-{F}(V2,V0,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1374: mergings( V3 == V4, V4 == V7, V5 == V1, V6 == V8; #1368 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_d-{F}(V3), sum-{F}(V4,V1,V3), sum-{F}(V4,V1,V5), product-{F}(V1,V3,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1379: mergings( V3 == V4, V4 == V8, V5 == V1, V6 == V7; #1369 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), sum-{F}(V4,V2,V0), sum-{F}(V4,V2,V5), product-{F}(V2,V0,V5) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1522: mergings( V3 == V6, V1 == V8; #1517 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V6,V4), product-{F}(V4,V3,V7), sum-{F}(V2,V8,V7), P_multiply-{F}(V9,V6,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1527: mergings( V3 == V6, V1 == V8, V4 == V10, V5 == V11; #1518 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_multiply-{F}(V2,V4,V2), P_c-{F}(V5), P_d-{F}(V6), sum-{F}(V7,V5,V5), sum-{F}(V7,V8,V6), P_multiply-{F}(V9,V4,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1531: mergings( V3 == V6, V1 == V8, V4 == V10; #1519 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V3), P_c-{F}(V6), sum-{F}(V7,V6,V6), product-{F}(V3,V2,V8), sum-{F}(V7,V9,V8), P_multiply-{F}(V10,V5,V9) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1539: mergings( V3 == V6, V0 == V7, V4 == V9, V5 == V10; #1534 ), references = 1, size of lhs = 9:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V3,V2), P_c-{F}(V4), P_d-{F}(V5), sum-{F}(V6,V4,V4), sum-{F}(V6,V7,V5), P_multiply-{F}(V8,V3,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1812: mergings( V3 == V6, V1 == V8, V7 == V9, V4 == V0, V5 == V10; #1804 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V4), sum-{F}(V5,V1,V6), product-{F}(V2,V1,V7), P_multiply-{F}(V2,V8,V7), P_multiply-{F}(V9,V8,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1818: mergings( V3 == V6, V1 == V8, V7 == V9, V4 == V0, V5 == V10; #1805 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V3), sum-{F}(V5,V1,V6), product-{F}(V2,V1,V7), P_multiply-{F}(V2,V8,V7), P_multiply-{F}(V9,V8,V6) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1824: mergings( V3 == V7, V1 == V9, V8 == V10, V4 == V0, V5 == V6; #1806 ), references = 1, size of lhs = 13:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), product-{F}(V3,V2,V5), sum-{F}(V6,V2,V5), sum-{F}(V6,V2,V7), product-{F}(V3,V2,V8), P_multiply-{F}(V3,V9,V8), P_multiply-{F}(V10,V9,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1909: mergings( V5 == V11, V3 == V7, V7 == V10, V6 == V1, V4 == V8, V1 == V9; #1900 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_multiply-{F}(V0,V3,V4), product-{F}(V0,V3,V5), P_multiply-{F}(V0,V6,V4), sum-{F}(V2,V7,V5), P_multiply-{F}(V8,V6,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1917: mergings( V5 == V10, V3 == V6, V6 == V9, V1 == V11, V4 == V7, V7 == V12, V8 == V11; #1901 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), P_d-{F}(V2), P_multiply-{F}(V2,V1,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), P_multiply-{F}(V2,V6,V3), sum-{F}(V5,V7,V3), P_multiply-{F}(V8,V6,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1925: mergings( V5 == V11, V3 == V7, V7 == V10, V6 == V1, V4 == V8, V8 == V12, V1 == V9; #1902 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_b-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_multiply-{F}(V0,V2,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), product-{F}(V0,V2,V6), P_multiply-{F}(V0,V7,V3), sum-{F}(V5,V8,V6), P_multiply-{F}(V9,V7,V8) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #1939: mergings( V3 == V4, V4 == V6, V6 == V9, V5 == V7, V0 == V8; #1931 ), references = 1, size of lhs = 5:
% 100.64/100.81 P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2221: mergings( V5 == V11, V3 == V7, V7 == V10, V1 == V12, V11 == V13, V4 == V8, V8 == V0, V6 == V9, V9 == V14; #2210 ), references = 1, size of lhs = 11:
% 100.64/100.81 P_additive_identity-{F}(V0), P_a-{F}(V1), P_c-{F}(V1), sum-{F}(V0,V1,V1), P_b-{F}(V2), P_multiply-{F}(V2,V1,V3), P_d-{F}(V4), sum-{F}(V5,V1,V4), product-{F}(V2,V1,V6), P_multiply-{F}(V2,V7,V6), P_multiply-{F}(V8,V7,V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2231: mergings( V5 == V12, V3 == V7, V7 == V11, V1 == V13, V12 == V14, V4 == V8, V8 == V0, V6 == V9, V9 == V10; #2211 ), references = 1, size of lhs = 12:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), product-{F}(V3,V2,V4), P_multiply-{F}(V3,V2,V4), sum-{F}(V5,V2,V0), product-{F}(V3,V2,V6), P_multiply-{F}(V3,V7,V6), P_multiply-{F}(V8,V7,V4) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2243: mergings( V3 == V4, V4 == V7, V7 == V11, V5 == V8, V8 == V1, V6 == V9, V9 == V10; #2234 ), references = 2, size of lhs = 7:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), sum-{F}(V4,V2,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2449: mergings( V7 == V8, V8 == V13, V3 == V6, V6 == V10, V10 == V12, V1 == V15, V4 == V0, V5 == V9, V9 == V11; #2437 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_c-{F}(V2), sum-{F}(V1,V2,V2), P_b-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V5,V4), P_multiply-{F}(V6,V5,V7), sum-{F}(V8,V7,V0) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2459: mergings( V9 == V10, V10 == V12, V3 == V4, V4 == V5, V5 == V8, V8 == V14, V14 == V15, V6 == V0, V7 == V11; #2438 ), references = 2, size of lhs = 10:
% 100.64/100.81 P_c-{F}(V0), P_a-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_b-{F}(V3), P_multiply-{F}(V3,V0,V4), P_multiply-{F}(V3,V5,V4), product-{F}(V3,V0,V6), sum-{F}(V2,V7,V6), P_multiply-{F}(V8,V5,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2471: mergings( V9 == V10, V10 == V12, V3 == V4, V4 == V5, V5 == V8, V8 == V14, V14 == V15, V6 == V0, V0 == V16, V7 == V11, V11 == V17; #2439 ), references = 1, size of lhs = 10:
% 100.64/100.81 P_a-{F}(V0), P_c-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V2,V4,V3), P_d-{F}(V5), sum-{F}(V6,V0,V0), sum-{F}(V6,V7,V5), P_multiply-{F}(V8,V4,V7) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2477: mergings( V3 == V5; #2475 ), references = 1, size of lhs = 5:
% 100.64/100.81 P_c-{F}(V0), P_a-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_b-{F}(V3) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2480: mergings( V1 == V3; #2478 ), references = 1, size of lhs = 4:
% 100.64/100.81 P_c-{F}(V0), P_a-{F}(V0), P_additive_identity-{F}(V1), P_b-{F}(V2) | FALSE
% 100.64/100.81 (used 0 times, uses = {})
% 100.64/100.81
% 100.64/100.81 #2678: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V0 == V14, V1 == V15, V5 == V7, V7 == V12; #2666 ), references = 1, size of lhs = 18:
% 100.64/100.81 P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V1,V6), sum-{F}(V7,V1,V6), P_multiply-{F}(V4,V8,V4), sum-{F}(V7,V9,V4), P_multiply-{F}(V10,V8,V9), product-{F}(V11,V12,V2), sum-{F}(V4,V12,V13), product-{F}(V11,V13,V14), product-{F}(V14,V3,V15), product-{F}(V11,V4,V16), sum-{F}(V2,V16,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2689: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V14, V0 == V15, V1 == V16, V5 == V7, V7 == V12, V9 == V13; #2667 ), references = 1, size of lhs = 18:
% 100.64/100.82 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V0,V6), sum-{F}(V7,V0,V6), P_multiply-{F}(V4,V8,V4), sum-{F}(V7,V9,V4), P_multiply-{F}(V10,V8,V9), product-{F}(V11,V12,V2), sum-{F}(V4,V12,V13), product-{F}(V11,V13,V14), product-{F}(V14,V3,V15), product-{F}(V11,V4,V16), sum-{F}(V2,V16,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2699: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V12, V0 == V13, V1 == V14, V5 == V7, V7 == V15; #2668 ), references = 1, size of lhs = 19:
% 100.64/100.82 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_multiply-{F}(V3,V2,V4), P_c-{F}(V5), sum-{F}(V6,V5,V5), equalish-{F}(V5,V7), sum-{F}(V8,V5,V7), P_multiply-{F}(V3,V9,V3), sum-{F}(V8,V10,V3), P_multiply-{F}(V11,V9,V10), product-{F}(V12,V13,V1), sum-{F}(V3,V13,V14), product-{F}(V12,V14,V15), product-{F}(V15,V2,V16), product-{F}(V12,V3,V17), sum-{F}(V6,V17,V16) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2712: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V1 == V13, V0 == V14, V5 == V7, V7 == V11; #2700 ), references = 1, size of lhs = 17:
% 100.64/100.82 P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), equalish-{F}(V1,V5), sum-{F}(V6,V1,V5), P_multiply-{F}(V4,V7,V4), sum-{F}(V6,V8,V4), P_multiply-{F}(V9,V7,V8), product-{F}(V10,V11,V2), sum-{F}(V4,V11,V12), product-{F}(V10,V12,V13), product-{F}(V13,V3,V14), product-{F}(V10,V4,V15), sum-{F}(V2,V15,V14) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2723: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V13, V1 == V14, V0 == V15, V5 == V7, V7 == V11, V8 == V12; #2701 ), references = 1, size of lhs = 17:
% 100.64/100.82 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), equalish-{F}(V0,V5), sum-{F}(V6,V0,V5), P_multiply-{F}(V4,V7,V4), sum-{F}(V6,V8,V4), P_multiply-{F}(V9,V7,V8), product-{F}(V10,V11,V2), sum-{F}(V4,V11,V12), product-{F}(V10,V12,V13), product-{F}(V13,V3,V14), product-{F}(V10,V4,V15), sum-{F}(V2,V15,V14) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2733: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V1 == V12, V0 == V13, V5 == V7, V7 == V14; #2702 ), references = 1, size of lhs = 18:
% 100.64/100.82 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), sum-{F}(V7,V4,V6), P_multiply-{F}(V3,V8,V3), sum-{F}(V7,V9,V3), P_multiply-{F}(V10,V8,V9), product-{F}(V11,V12,V1), sum-{F}(V3,V12,V13), product-{F}(V11,V13,V14), product-{F}(V14,V2,V15), product-{F}(V11,V3,V16), sum-{F}(V5,V16,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2961: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V13, V0 == V14, V1 == V15, V5 == V7, V7 == V12; #2949 ), references = 1, size of lhs = 19:
% 100.64/100.82 P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V1,V6), equalish-{F}(V4,V7), P_multiply-{F}(V4,V8,V7), product-{F}(V2,V4,V9), sum-{F}(V2,V9,V10), sum-{F}(V11,V1,V6), equalish-{F}(V12,V4), product-{F}(V13,V3,V10), product-{F}(V2,V14,V13), sum-{F}(V4,V15,V14), sum-{F}(V11,V15,V12), P_multiply-{F}(V16,V8,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2972: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V14, V0 == V15, V1 == V16, V5 == V7, V7 == V12, V9 == V13; #2950 ), references = 1, size of lhs = 19:
% 100.64/100.82 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), P_multiply-{F}(V4,V3,V5), equalish-{F}(V0,V6), equalish-{F}(V4,V7), P_multiply-{F}(V4,V8,V7), product-{F}(V2,V4,V9), sum-{F}(V2,V9,V10), sum-{F}(V11,V0,V6), equalish-{F}(V12,V4), product-{F}(V13,V3,V10), product-{F}(V2,V14,V13), sum-{F}(V4,V15,V14), sum-{F}(V11,V15,V12), P_multiply-{F}(V16,V8,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2982: mergings( V3 == V4, V4 == V6, V6 == V10, V10 == V11, V11 == V12, V0 == V13, V1 == V14, V5 == V7, V7 == V15; #2951 ), references = 1, size of lhs = 20:
% 100.64/100.82 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_multiply-{F}(V3,V2,V4), P_c-{F}(V5), sum-{F}(V6,V5,V5), equalish-{F}(V5,V7), equalish-{F}(V3,V8), P_multiply-{F}(V3,V9,V8), product-{F}(V1,V3,V10), sum-{F}(V6,V10,V11), sum-{F}(V12,V5,V7), equalish-{F}(V13,V3), product-{F}(V14,V2,V11), product-{F}(V1,V15,V14), sum-{F}(V3,V16,V15), sum-{F}(V12,V16,V13), P_multiply-{F}(V17,V9,V16) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #2995: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V12, V1 == V13, V0 == V14, V5 == V7, V7 == V11; #2983 ), references = 1, size of lhs = 18:
% 100.64/100.82 P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), equalish-{F}(V1,V5), equalish-{F}(V4,V6), P_multiply-{F}(V4,V7,V6), product-{F}(V2,V4,V8), sum-{F}(V2,V8,V9), sum-{F}(V10,V1,V5), equalish-{F}(V11,V4), product-{F}(V12,V3,V9), product-{F}(V2,V13,V12), sum-{F}(V4,V14,V13), sum-{F}(V10,V14,V11), P_multiply-{F}(V15,V7,V14) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3006: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V13, V1 == V14, V0 == V15, V5 == V7, V7 == V11, V8 == V12; #2984 ), references = 1, size of lhs = 18:
% 100.64/100.82 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), sum-{F}(V2,V4,V4), equalish-{F}(V0,V5), equalish-{F}(V4,V6), P_multiply-{F}(V4,V7,V6), product-{F}(V2,V4,V8), sum-{F}(V2,V8,V9), sum-{F}(V10,V0,V5), equalish-{F}(V11,V4), product-{F}(V12,V3,V9), product-{F}(V2,V13,V12), sum-{F}(V4,V14,V13), sum-{F}(V10,V14,V11), P_multiply-{F}(V15,V7,V14) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3016: mergings( V3 == V4, V4 == V6, V6 == V9, V9 == V10, V10 == V11, V1 == V12, V0 == V13, V5 == V7, V7 == V14; #2985 ), references = 1, size of lhs = 19:
% 100.64/100.82 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), sum-{F}(V1,V3,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), equalish-{F}(V3,V7), P_multiply-{F}(V3,V8,V7), product-{F}(V1,V3,V9), sum-{F}(V5,V9,V10), sum-{F}(V11,V4,V6), equalish-{F}(V12,V3), product-{F}(V13,V2,V10), product-{F}(V1,V14,V13), sum-{F}(V3,V15,V14), sum-{F}(V11,V15,V12), P_multiply-{F}(V16,V8,V15) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3053: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V13, V13 == V14, V14 == V16, V10 == V17, V8 == V11, V11 == V15; #3038 ), references = 1, size of lhs = 13:
% 100.64/100.82 P_d-{F}(V0), P_c-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), equalish-{F}(V4,V4), sum-{F}(V2,V4,V4), equalish-{F}(V1,V5), sum-{F}(V2,V1,V5), product-{F}(V2,V4,V6), sum-{F}(V2,V6,V7), product-{F}(V2,V2,V8), product-{F}(V8,V3,V7) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3067: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V13, V13 == V14, V14 == V17, V10 == V18, V8 == V11, V11 == V15, V12 == V16; #3039 ), references = 1, size of lhs = 13:
% 100.64/100.82 P_c-{F}(V0), P_d-{F}(V1), P_additive_identity-{F}(V2), P_a-{F}(V3), P_b-{F}(V4), equalish-{F}(V4,V4), sum-{F}(V2,V4,V4), equalish-{F}(V0,V5), sum-{F}(V2,V0,V5), product-{F}(V2,V4,V6), sum-{F}(V2,V6,V7), product-{F}(V2,V2,V8), product-{F}(V8,V3,V7) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3080: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V13, V13 == V14, V14 == V15, V10 == V16, V8 == V11, V11 == V17; #3040 ), references = 1, size of lhs = 14:
% 100.64/100.82 P_d-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), equalish-{F}(V3,V3), sum-{F}(V1,V3,V3), P_c-{F}(V4), sum-{F}(V5,V4,V4), equalish-{F}(V4,V6), sum-{F}(V1,V4,V6), product-{F}(V1,V3,V7), sum-{F}(V5,V7,V8), product-{F}(V1,V1,V9), product-{F}(V9,V2,V8) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3096: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V9 == V15, V7 == V10, V10 == V13; #3081 ), references = 1, size of lhs = 12:
% 100.64/100.82 P_c-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), equalish-{F}(V3,V3), sum-{F}(V1,V3,V3), equalish-{F}(V0,V4), sum-{F}(V1,V0,V4), product-{F}(V1,V3,V5), sum-{F}(V1,V5,V6), product-{F}(V1,V1,V7), product-{F}(V7,V2,V6) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3109: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V14, V9 == V15, V7 == V10, V10 == V13; #3082 ), references = 1, size of lhs = 12:
% 100.64/100.82 P_c-{F}(V0), P_additive_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), equalish-{F}(V3,V3), sum-{F}(V1,V3,V3), equalish-{F}(V0,V4), sum-{F}(V1,V0,V4), product-{F}(V1,V3,V5), sum-{F}(V1,V5,V6), product-{F}(V1,V1,V7), product-{F}(V7,V2,V6) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3122: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V11, V11 == V12, V12 == V13, V9 == V14, V7 == V10, V10 == V16; #3083 ), references = 1, size of lhs = 13:
% 100.64/100.82 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), equalish-{F}(V2,V2), sum-{F}(V0,V2,V2), P_c-{F}(V3), sum-{F}(V4,V3,V3), equalish-{F}(V3,V5), sum-{F}(V0,V3,V5), product-{F}(V0,V2,V6), sum-{F}(V4,V6,V7), product-{F}(V0,V0,V8), product-{F}(V8,V1,V7) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3142: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V8 == V12; #3129 ), references = 2, size of lhs = 9:
% 100.64/100.82 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), equalish-{F}(V2,V2), sum-{F}(V0,V2,V2), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), product-{F}(V0,V0,V5), product-{F}(V5,V1,V4) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3153: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V8 == V12; #3130 ), references = 1, size of lhs = 9:
% 100.64/100.82 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), equalish-{F}(V2,V2), sum-{F}(V0,V2,V2), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), product-{F}(V0,V0,V5), product-{F}(V5,V1,V4) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3164: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V8 == V12; #3131 ), references = 1, size of lhs = 9:
% 100.64/100.82 P_additive_identity-{F}(V0), P_a-{F}(V1), P_b-{F}(V2), equalish-{F}(V2,V2), sum-{F}(V0,V2,V2), product-{F}(V0,V2,V3), sum-{F}(V0,V3,V4), product-{F}(V0,V0,V5), product-{F}(V5,V1,V4) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3177: exists( #78, #3171 ), references = 1, size of lhs = 5:
% 100.64/100.82 P_additive_identity-{F}(V0), P_a-{F}(V1), sum-{F}(V0,V0,V2), product-{F}(V0,V0,V3), product-{F}(V3,V1,V2) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3185: mergings( V1 == V2; #3181 ), references = 1, size of lhs = 3:
% 100.64/100.82 P_additive_identity-{F}(V0), sum-{F}(V0,V0,V0), product-{F}(V0,V0,V0) | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 #3197: exists( #76, #3191 ), references = 1, size of lhs = 0:
% 100.64/100.82 FALSE | FALSE
% 100.64/100.82 (used 0 times, uses = {})
% 100.64/100.82
% 100.64/100.82 number of learnt formulas = 134
% 100.64/100.82
% 100.64/100.82
% 100.64/100.82 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 100.64/100.82
% 100.64/100.82 randbase = 1
%------------------------------------------------------------------------------