TSTP Solution File: RNG004-10 by Geo-III---2018C
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%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% 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 06:14:50 EDT 2022
% Result : Unsatisfiable 62.15s 62.33s
% Output : Refutation 62.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG004-10 : TPTP v8.1.0. Released v7.5.0.
% 0.11/0.13 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jul 22 07:27:03 EDT 2022
% 0.12/0.33 % CPUTime :
% 62.15/62.33 GeoParameters:
% 62.15/62.33
% 62.15/62.33 tptp_input = 1
% 62.15/62.33 tptp_output = 0
% 62.15/62.33 nonempty = 1
% 62.15/62.33 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.15/62.33 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 62.15/62.33
% 62.15/62.33
% 62.15/62.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.15/62.33 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.15/62.33
% 62.15/62.33 RuleSystem INPUT:
% 62.15/62.33
% 62.15/62.33 Initial Rules:
% 62.15/62.33 #0: input, references = 6, size of lhs = 2:
% 62.15/62.33 P_ifeq2-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1: input, references = 4, size of lhs = 2:
% 62.15/62.33 P_ifeq-{F}(V0,V0,V1,V2,V3), V3 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #2: input, references = 3, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V2,V2,V3), V3 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #3: input, references = 4, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V0,V2,V3), V3 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #4: input, references = 4, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4), P_product-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #5: input, references = 4, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_add-{F}(V2,V3,V4), P_sum-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #6: input, references = 4, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3), P_sum-{F}(V3,V2,V0,V4), V4 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #7: input, references = 4, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3), P_sum-{F}(V2,V3,V0,V4), V4 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #8: input, references = 5, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V4,V5,V6,V8), P_sum-{F}(V3,V5,V7,V9), P_sum-{F}(V2,V3,V4,V10), P_sum-{F}(V2,V7,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #9: input, references = 4, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V3,V5,V7,V8), P_sum-{F}(V2,V7,V6,V9), P_sum-{F}(V2,V3,V4,V10), P_sum-{F}(V4,V5,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #10: input, references = 4, size of lhs = 6:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V3,V2,V4,V6), P_ifeq-{F}(V5,V1,V6,V1,V7), V7 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #11: input, references = 3, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V4,V5,V6,V8), P_product-{F}(V3,V5,V7,V9), P_product-{F}(V2,V3,V4,V10), P_product-{F}(V2,V7,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #12: input, references = 5, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V3,V5,V7,V8), P_product-{F}(V2,V7,V6,V9), P_product-{F}(V2,V3,V4,V10), P_product-{F}(V4,V5,V6,V11), P_ifeq-{F}(V10,V1,V11,V1,V12), P_ifeq-{F}(V9,V1,V12,V1,V13), P_ifeq-{F}(V8,V1,V13,V1,V14), V14 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #13: input, references = 5, size of lhs = 12:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V5,V6,V9), P_product-{F}(V2,V4,V7,V10), P_product-{F}(V2,V3,V8,V11), P_sum-{F}(V3,V4,V5,V12), P_sum-{F}(V8,V7,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #14: input, references = 5, size of lhs = 12:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V4,V7,V9), P_product-{F}(V2,V3,V8,V10), P_sum-{F}(V8,V7,V6,V11), P_sum-{F}(V3,V4,V5,V12), P_product-{F}(V2,V5,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #15: input, references = 5, size of lhs = 12:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V5,V2,V6,V9), P_product-{F}(V4,V2,V7,V10), P_product-{F}(V3,V2,V8,V11), P_sum-{F}(V3,V4,V5,V12), P_sum-{F}(V8,V7,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #16: input, references = 5, size of lhs = 12:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V4,V2,V7,V9), P_product-{F}(V3,V2,V8,V10), P_sum-{F}(V8,V7,V6,V11), P_sum-{F}(V3,V4,V5,V12), P_product-{F}(V5,V2,V6,V13), P_ifeq-{F}(V12,V1,V13,V1,V14), P_ifeq-{F}(V11,V1,V14,V1,V15), P_ifeq-{F}(V10,V1,V15,V1,V16), P_ifeq-{F}(V9,V1,V16,V1,V17), V17 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #17: input, references = 14, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V5,V6), P_sum-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V4,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #18: input, references = 11, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V5,V6), P_product-{F}(V2,V3,V4,V7), P_ifeq2-{F}(V7,V1,V4,V5,V8), P_ifeq2-{F}(V6,V1,V8,V5,V9), V9 == V5 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #19: input, references = 4, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_product-{F}(V2,V3,V4,V5), V5 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #20: input, references = 4, size of lhs = 11:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_product-{F}(V2,V3,V4,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_d-{F}(V8), P_product-{F}(V6,V7,V8,V9), V9 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #21: input, references = 8, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V8), P_product-{F}(V2,V3,V8,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_d-{F}(V8), P_product-{F}(V6,V7,V8,V9) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #22: input, references = 9, size of lhs = 4:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq2-{T}(V0,V1,V2,V3,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #23: input, references = 7, size of lhs = 4:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2, #-{F} V3 | EXISTS V4: P_ifeq-{T}(V0,V1,V2,V3,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #24: input, references = 9, size of lhs = 3:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_sum-{T}(V0,V1,V2,V3)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #25: input, references = 4, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #26: input, references = 4, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_true-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #27: input, references = 7, size of lhs = 3:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2 | EXISTS V3: P_product-{T}(V0,V1,V2,V3)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #28: input, references = 8, size of lhs = 2:
% 62.15/62.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #29: input, references = 7, size of lhs = 2:
% 62.15/62.33 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #30: input, references = 28, size of lhs = 1:
% 62.15/62.33 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #31: input, references = 4, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_a-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #32: input, references = 5, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_b-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #33: input, references = 6, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_c-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #34: input, references = 8, size of lhs = 0:
% 62.15/62.33 FALSE | EXISTS V0: P_d-{T}(V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 number of initial rules = 35
% 62.15/62.33
% 62.15/62.33 Simplifiers:
% 62.15/62.33 #35: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_ifeq2-{F}(V0,V1,V2,V3,V4), P_ifeq2-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #36: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_ifeq-{F}(V0,V1,V2,V3,V4), P_ifeq-{F}(V0,V1,V2,V3,V9), V4 == V9 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #37: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_sum-{F}(V0,V1,V2,V3), P_sum-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #38: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #39: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_true-{F}(V0), P_true-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #40: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_product-{F}(V0,V1,V2,V3), P_product-{F}(V0,V1,V2,V7), V3 == V7 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #41: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #42: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #43: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #44: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #45: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #46: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #47: unsound, references = 3, size of lhs = 3:
% 62.15/62.33 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 number of simplifiers = 13
% 62.15/62.33
% 62.15/62.33 Learnt:
% 62.15/62.33 #49: exists( #23, #1 ), references = 6, size of lhs = 3:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq-{T}(V0,V0,V1,V2,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #51: exists( #22, #0 ), references = 22, size of lhs = 3:
% 62.15/62.33 #-{F} V0, #-{F} V1, #-{F} V2 | P_ifeq2-{T}(V0,V0,V1,V2,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #53: exists( #24, #5 ), references = 27, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_add-{F}(V2,V3,V4) | P_sum-{T}(V2,V3,V4,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #55: exists( #24, #3 ), references = 31, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), #-{F} V2 | P_sum-{T}(V2,V0,V2,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #58: exists( #24, #6 ), references = 19, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3) | P_sum-{T}(V3,V2,V0,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #59: exists( #24, #7 ), references = 18, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_additive_inverse-{F}(V2,V3) | P_sum-{T}(V2,V3,V0,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #66: mergings( V3 == V4; #64 ), references = 1, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V1) | P_add-{T}(V2,V3,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #72: exists( #24, #70 ), references = 13, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V1), P_sum-{F}(V5,V3,V6,V1), P_sum-{F}(V7,V5,V2,V1) | P_sum-{T}(V7,V6,V4,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #78: exists( #27, #19 ), references = 5, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | P_product-{T}(V2,V3,V4,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #87: mergings( V0 == V2, V2 == V3; #84 ), references = 1, size of lhs = 2:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1) | P_additive_inverse-{T}(V0,V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #90: exists( #24, #88 ), references = 13, size of lhs = 6:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V2,V5,V6,V1), P_sum-{F}(V7,V5,V3,V1), P_product-{F}(V2,V7,V8,V1) | P_sum-{T}(V8,V6,V4,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #97: mergings( V2 == V3, V3 == V5, V4 == V6; #93 ), references = 8, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V3,V1), P_sum-{F}(V2,V0,V4,V5), P_ifeq2-{F}(V1,V1,V0,V4,V6), P_ifeq2-{F}(V5,V1,V6,V4,V7), V7 == V4 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #107: mergings( V1 == V4, V4 == V5; #104 ), references = 1, size of lhs = 5:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_true-{F}(V3), P_sum-{F}(V1,V1,V1,V3) | P_c-{T}(V2)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #111: exists( #27, #4 ), references = 47, size of lhs = 3:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_multiply-{F}(V2,V3,V4) | P_product-{T}(V2,V3,V4,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #124: mergings( V3 == V4, V4 == V5; #121 ), references = 13, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V2,V1), #-{F} V3 | P_multiply-{T}(V3,V2,V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #143: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #138 ), references = 17, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V3,V1), P_sum-{F}(V4,V3,V5,V1), P_sum-{F}(V6,V4,V2,V1), P_sum-{F}(V5,V7,V8,V1), P_sum-{F}(V6,V8,V9,V1) | P_add-{T}(V3,V7,V9)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #148: exists( #22, #17 ), references = 2, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V2,V3,V6,V7), P_ifeq2-{F}(V7,V1,V6,V4,V8) | P_ifeq2-{T}(V5,V1,V8,V4,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #152: exists( #23, #13 ), references = 1, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_ifeq-{F}(V7,V1,V6,V1,V8), P_product-{F}(V9,V10,V11,V7), P_product-{F}(V9,V12,V13,V5), P_sum-{F}(V12,V10,V14,V2), P_sum-{F}(V13,V11,V15,V3), P_product-{F}(V9,V14,V15,V16) | P_ifeq-{T}(V16,V1,V8,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #153: exists( #23, #15 ), references = 1, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_ifeq-{F}(V7,V1,V6,V1,V8), P_product-{F}(V9,V10,V11,V7), P_product-{F}(V12,V10,V13,V5), P_sum-{F}(V12,V9,V14,V2), P_sum-{F}(V13,V11,V15,V3), P_product-{F}(V14,V10,V15,V16) | P_ifeq-{T}(V16,V1,V8,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #177: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #171 ), references = 7, size of lhs = 9:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V0,V1), P_sum-{F}(V4,V5,V3,V1), P_product-{F}(V2,V4,V6,V1), P_sum-{F}(V7,V5,V5,V1), P_product-{F}(V2,V7,V8,V1), P_sum-{F}(V9,V6,V8,V1), P_sum-{F}(V9,V10,V10,V1) | P_multiply-{T}(V2,V5,V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #183: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8; #172 ), references = 8, size of lhs = 11:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V3,V1), P_product-{F}(V4,V2,V5,V1), P_product-{F}(V4,V6,V7,V1), P_sum-{F}(V8,V3,V6,V1), P_product-{F}(V4,V8,V9,V1), P_sum-{F}(V10,V9,V5,V1), P_sum-{F}(V11,V7,V12,V1), P_sum-{F}(V13,V11,V10,V1), P_sum-{F}(V13,V12,V14,V1) | P_multiply-{T}(V4,V3,V14)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #211: mergings( V2 == V3, V3 == V4, V4 == V6, V6 == V7, V5 == V8; #204 ), references = 1, size of lhs = 6:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V2,V2,V1), P_sum-{F}(V3,V2,V4,V1), P_sum-{F}(V4,V5,V0,V1), P_sum-{F}(V2,V5,V6,V1) | P_additive_inverse-{T}(V3,V6)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #213: exists( #22, #18 ), references = 1, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V5), P_product-{F}(V2,V3,V6,V7), P_ifeq2-{F}(V7,V1,V6,V4,V8) | P_ifeq2-{T}(V5,V1,V8,V4,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #230: exists( #27, #226 ), references = 9, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V4,V6,V1), P_product-{F}(V5,V2,V7,V1) | P_product-{T}(V7,V3,V6,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #231: exists( #27, #227 ), references = 9, size of lhs = 6:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V3,V6,V1), P_sum-{F}(V6,V4,V7,V1), P_sum-{F}(V5,V2,V8,V1) | P_product-{T}(V8,V3,V7,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #240: exists( #27, #20 ), references = 14, size of lhs = 9:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_product-{F}(V2,V3,V4,V5), P_additive_inverse-{F}(V2,V6), P_additive_inverse-{F}(V3,V7), P_d-{F}(V8) | P_product-{T}(V6,V7,V8,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #260: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V18, V7 == V9, V9 == V11, V11 == V19; #249 ), references = 3, size of lhs = 18:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_product-{F}(V4,V6,V6,V7), P_true-{F}(V7), P_product-{F}(V4,V1,V8,V7), P_ifeq2-{F}(V7,V7,V6,V5,V9), P_ifeq2-{F}(V7,V7,V9,V5,V10), V10 == V5, P_sum-{F}(V6,V11,V11,V7), P_sum-{F}(V1,V11,V1,V7), P_product-{F}(V4,V11,V12,V7), P_sum-{F}(V13,V8,V12,V7), P_sum-{F}(V13,V14,V14,V7) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #263: exists( #34, #261 ), references = 2, size of lhs = 14:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_additive_identity-{F}(V5), P_product-{F}(V4,V5,V5,V6), P_true-{F}(V6), P_product-{F}(V4,V1,V7,V6), P_sum-{F}(V5,V8,V8,V6), P_sum-{F}(V1,V8,V1,V6), P_product-{F}(V4,V8,V9,V6), P_sum-{F}(V10,V7,V9,V6), P_sum-{F}(V10,V11,V11,V6) | P_d-{T}(V5)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #280: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #271 ), references = 3, size of lhs = 15:
% 62.15/62.33 P_c-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_product-{F}(V2,V3,V0,V4), P_additive_inverse-{F}(V2,V5), P_product-{F}(V5,V0,V0,V1), P_product-{F}(V5,V3,V6,V1), P_sum-{F}(V0,V7,V7,V1), P_sum-{F}(V3,V7,V3,V1), P_product-{F}(V5,V7,V8,V1), P_sum-{F}(V9,V6,V8,V1), P_sum-{F}(V9,V10,V10,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #298: mergings( V2 == V3, V3 == V9, V9 == V10; #293 ), references = 1, size of lhs = 14:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_true-{F}(V7), P_product-{F}(V4,V6,V5,V7), P_product-{F}(V4,V1,V8,V7), P_ifeq2-{F}(V7,V7,V6,V9,V10), P_sum-{F}(V8,V6,V9,V11), P_ifeq2-{F}(V11,V7,V10,V9,V12), V12 == V9 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #303: mergings( V2 == V3, V3 == V9, V9 == V11, V10 == V12; #294 ), references = 1, size of lhs = 14:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_true-{F}(V7), P_product-{F}(V4,V6,V8,V7), P_product-{F}(V4,V1,V9,V7), P_sum-{F}(V9,V5,V10,V11), P_ifeq2-{F}(V11,V7,V10,V8,V12), P_ifeq2-{F}(V7,V7,V12,V8,V13), V13 == V8 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #312: mergings( V2 == V8, V8 == V10, V9 == V11; #308 ), references = 1, size of lhs = 13:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_true-{F}(V7), P_product-{F}(V8,V4,V4,V7), P_product-{F}(V8,V5,V9,V7), P_ifeq2-{F}(V7,V7,V5,V9,V10), P_ifeq2-{F}(V7,V7,V10,V9,V11), V11 == V9 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #348: mergings( V3 == V4, V4 == V5; #344 ), references = 9, size of lhs = 5:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V2,V6,V1), P_product-{F}(V6,V3,V7,V1) | P_multiply-{T}(V5,V4,V7)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #353: mergings( V3 == V4, V4 == V5, V5 == V6, V6 == V7; #345 ), references = 1, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V0,V1), P_product-{F}(V4,V5,V2,V1), P_product-{F}(V5,V6,V7,V1), P_sum-{F}(V6,V3,V8,V1), P_product-{F}(V2,V8,V9,V1) | P_multiply-{T}(V4,V7,V9)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #381: exists( #22, #379 ), references = 2, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V2,V3,V5,V6) | P_ifeq2-{T}(V6,V1,V5,V4,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #384: exists( #23, #12 ), references = 1, size of lhs = 8:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_product-{F}(V7,V8,V9,V5), P_product-{F}(V7,V10,V11,V2), P_product-{F}(V11,V12,V9,V3), P_product-{F}(V10,V12,V8,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #385: exists( #23, #14 ), references = 1, size of lhs = 10:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_ifeq-{F}(V7,V1,V6,V1,V8), P_product-{F}(V9,V10,V11,V7), P_sum-{F}(V11,V12,V13,V5), P_product-{F}(V9,V14,V13,V3), P_sum-{F}(V10,V15,V14,V2), P_product-{F}(V9,V15,V12,V16) | P_ifeq-{T}(V16,V1,V8,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #398: mergings( V3 == V4, V4 == V5; #395 ), references = 7, size of lhs = 6:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_product-{F}(V2,V3,V4,V1), P_product-{F}(V5,V3,V6,V1), P_sum-{F}(V5,V2,V7,V1), P_product-{F}(V7,V3,V8,V1) | P_add-{T}(V6,V4,V8)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #420: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V10, V10 == V11, V11 == V13, V13 == V14, V9 == V12, V12 == V15; #408 ), references = 2, size of lhs = 7:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V2), P_true-{F}(V3), P_product-{F}(V4,V0,V0,V3), P_sum-{F}(V4,V5,V4,V3), P_product-{F}(V5,V0,V0,V3) | P_c-{T}(V2)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #433: mergings( V1 == V6, V6 == V7, V3 == V8, V2 == V9; #428 ), references = 1, size of lhs = 15:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V0,V0,V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V2), P_product-{F}(V2,V0,V0,V1), P_product-{F}(V3,V2,V2,V1), P_sum-{F}(V3,V4,V3,V1), P_product-{F}(V4,V2,V2,V1), P_product-{F}(V2,V0,V5,V1), P_sum-{F}(V6,V0,V5,V1), P_sum-{F}(V6,V7,V7,V1), P_product-{F}(V2,V0,V8,V1), P_sum-{F}(V9,V0,V8,V1), P_sum-{F}(V9,V10,V10,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #458: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V18, V8 == V10, V10 == V12, V12 == V14, V14 == V19; #444 ), references = 2, size of lhs = 25:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_product-{F}(V4,V4,V4,V5), P_product-{F}(V0,V4,V4,V5), P_true-{F}(V5), P_sum-{F}(V3,V4,V4,V6), P_product-{F}(V4,V0,V7,V5), P_product-{F}(V0,V0,V8,V5), P_ifeq-{F}(V5,V5,V6,V5,V9), P_ifeq-{F}(V5,V5,V9,V5,V10), P_ifeq-{F}(V5,V5,V10,V5,V11), P_ifeq-{F}(V5,V5,V11,V5,V12), V12 == V5, P_sum-{F}(V4,V13,V13,V5), P_sum-{F}(V0,V13,V0,V5), P_product-{F}(V4,V13,V14,V5), P_sum-{F}(V15,V7,V14,V5), P_sum-{F}(V15,V16,V16,V5), P_product-{F}(V0,V13,V17,V5), P_sum-{F}(V18,V8,V17,V5), P_sum-{F}(V18,V19,V19,V5) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #461: exists( #24, #459 ), references = 3, size of lhs = 19:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_product-{F}(V4,V4,V4,V5), P_product-{F}(V0,V4,V4,V5), P_true-{F}(V5), P_product-{F}(V4,V0,V6,V5), P_product-{F}(V0,V0,V7,V5), P_sum-{F}(V4,V8,V8,V5), P_sum-{F}(V0,V8,V0,V5), P_product-{F}(V4,V8,V9,V5), P_sum-{F}(V10,V6,V9,V5), P_sum-{F}(V10,V11,V11,V5), P_product-{F}(V0,V8,V12,V5), P_sum-{F}(V13,V7,V12,V5), P_sum-{F}(V13,V14,V14,V5) | P_sum-{T}(V3,V4,V4,V5)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #473: mergings( V4 == V15; #470 ), references = 1, size of lhs = 18:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_true-{F}(V3), P_product-{F}(V0,V0,V4,V3), P_sum-{F}(V0,V5,V0,V3), P_product-{F}(V0,V5,V6,V3), P_sum-{F}(V7,V4,V6,V3), P_sum-{F}(V7,V8,V8,V3), P_additive_identity-{F}(V9), P_product-{F}(V9,V9,V9,V3), P_product-{F}(V0,V9,V9,V3), P_sum-{F}(V9,V5,V5,V3), P_product-{F}(V9,V0,V10,V3), P_product-{F}(V9,V5,V11,V3), P_sum-{F}(V12,V10,V11,V3), P_sum-{F}(V12,V13,V13,V3) | P_d-{T}(V9)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #475: mergings( V4 == V15; #471 ), references = 1, size of lhs = 18:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_true-{F}(V3), P_product-{F}(V0,V0,V4,V3), P_sum-{F}(V0,V5,V0,V3), P_product-{F}(V0,V5,V6,V3), P_sum-{F}(V7,V4,V6,V3), P_sum-{F}(V7,V8,V8,V3), P_additive_identity-{F}(V9), P_product-{F}(V9,V9,V9,V3), P_product-{F}(V0,V9,V9,V3), P_sum-{F}(V9,V5,V5,V3), P_product-{F}(V9,V0,V10,V3), P_product-{F}(V9,V5,V11,V3), P_sum-{F}(V12,V10,V11,V3), P_sum-{F}(V12,V13,V13,V3) | P_d-{T}(V9)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #497: mergings( V2 == V6, V3 == V7, V4 == V8, V5 == V9; #492 ), references = 1, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V2), P_c-{F}(V3), P_d-{F}(V3), P_product-{F}(V2,V2,V3,V4) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #535: mergings( V4 == V7, V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V12, V12 == V13, V13 == V14, V14 == V15, V7 == V16; #523 ), references = 1, size of lhs = 13:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_d-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_additive_identity-{F}(V3), P_sum-{F}(V3,V3,V3,V4), P_sum-{F}(V0,V3,V0,V4), P_true-{F}(V4), P_product-{F}(V0,V0,V5,V6), P_ifeq2-{F}(V4,V4,V0,V5,V7), P_ifeq2-{F}(V6,V4,V7,V5,V8), V8 == V5 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #538: exists( #22, #536 ), references = 1, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V1), P_sum-{F}(V2,V3,V5,V6) | P_ifeq2-{T}(V6,V1,V5,V4,V4)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #593: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V5 == V11, V11 == V14, V14 == V16; #578 ), references = 5, size of lhs = 18:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V3,V1), P_product-{F}(V4,V5,V2,V1), P_product-{F}(V4,V6,V7,V1), P_product-{F}(V6,V8,V9,V1), P_product-{F}(V5,V10,V9,V1), P_sum-{F}(V9,V9,V11,V1), P_product-{F}(V4,V11,V12,V1), P_product-{F}(V13,V10,V14,V1), P_sum-{F}(V15,V13,V3,V1), P_product-{F}(V15,V10,V16,V1), P_sum-{F}(V12,V17,V18,V1), P_sum-{F}(V14,V17,V19,V1), P_sum-{F}(V16,V19,V20,V21), P_ifeq2-{F}(V1,V1,V18,V20,V22), P_ifeq2-{F}(V21,V1,V22,V20,V23), V23 == V20 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #606: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V5 == V11, V11 == V14, V14 == V16; #579 ), references = 1, size of lhs = 23:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V3,V1), P_product-{F}(V4,V5,V2,V1), P_product-{F}(V4,V6,V7,V1), P_product-{F}(V6,V8,V9,V1), P_product-{F}(V5,V10,V9,V1), P_sum-{F}(V9,V9,V11,V1), P_product-{F}(V4,V11,V12,V1), P_product-{F}(V13,V10,V14,V1), P_sum-{F}(V15,V13,V3,V1), P_product-{F}(V15,V10,V16,V1), P_sum-{F}(V12,V17,V18,V1), P_sum-{F}(V14,V17,V19,V1), P_ifeq-{F}(V1,V1,V20,V1,V21), P_ifeq-{F}(V22,V1,V21,V1,V23), P_product-{F}(V24,V25,V16,V22), P_product-{F}(V24,V26,V19,V27), P_ifeq-{F}(V27,V1,V23,V1,V28), V28 == V1, P_sum-{F}(V25,V26,V29,V30), P_product-{F}(V24,V29,V18,V31), P_ifeq-{F}(V30,V1,V31,V1,V20) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #619: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V5 == V11, V11 == V14, V14 == V16; #580 ), references = 1, size of lhs = 23:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V3,V1), P_product-{F}(V4,V5,V2,V1), P_product-{F}(V4,V6,V7,V1), P_product-{F}(V6,V8,V9,V1), P_product-{F}(V5,V10,V9,V1), P_sum-{F}(V9,V9,V11,V1), P_product-{F}(V4,V11,V12,V1), P_product-{F}(V13,V10,V14,V1), P_sum-{F}(V15,V13,V3,V1), P_product-{F}(V15,V10,V16,V1), P_sum-{F}(V12,V17,V18,V1), P_sum-{F}(V14,V17,V19,V1), P_ifeq-{F}(V1,V1,V20,V1,V21), P_ifeq-{F}(V22,V1,V21,V1,V23), P_product-{F}(V24,V25,V16,V22), P_product-{F}(V26,V25,V19,V27), P_ifeq-{F}(V27,V1,V23,V1,V28), V28 == V1, P_sum-{F}(V24,V26,V29,V30), P_product-{F}(V29,V25,V18,V31), P_ifeq-{F}(V30,V1,V31,V1,V20) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #678: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V22, V22 == V24, V14 == V20, V20 == V23, V23 == V25; #656 ), references = 1, size of lhs = 28:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_true-{F}(V5), P_sum-{F}(V4,V6,V6,V5), P_sum-{F}(V0,V6,V0,V5), P_product-{F}(V0,V6,V7,V5), P_sum-{F}(V8,V8,V4,V5), P_product-{F}(V9,V0,V8,V5), P_product-{F}(V0,V4,V10,V5), P_product-{F}(V0,V0,V11,V5), P_sum-{F}(V12,V11,V7,V5), P_sum-{F}(V13,V10,V14,V5), P_sum-{F}(V15,V13,V12,V5), P_sum-{F}(V15,V14,V16,V5), P_sum-{F}(V16,V16,V17,V5), P_product-{F}(V9,V17,V18,V5), P_product-{F}(V9,V19,V20,V5), P_product-{F}(V19,V21,V16,V5), P_sum-{F}(V18,V22,V23,V5), P_sum-{F}(V16,V22,V24,V5), P_sum-{F}(V3,V24,V25,V26), P_ifeq2-{F}(V5,V5,V23,V25,V27), P_ifeq2-{F}(V26,V5,V27,V25,V28), V28 == V25 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #708: mergings( V2 == V3, V5 == V17, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16; #696 ), references = 1, size of lhs = 27:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_true-{F}(V5), P_sum-{F}(V4,V4,V4,V5), P_sum-{F}(V0,V4,V0,V5), P_sum-{F}(V6,V3,V4,V5), P_sum-{F}(V4,V4,V7,V5), P_sum-{F}(V8,V8,V7,V5), P_product-{F}(V9,V4,V8,V5), P_product-{F}(V9,V4,V10,V5), P_product-{F}(V0,V0,V11,V5), P_sum-{F}(V12,V4,V13,V5), P_sum-{F}(V14,V12,V6,V5), P_sum-{F}(V14,V13,V15,V5), P_sum-{F}(V11,V15,V16,V5), P_sum-{F}(V16,V16,V17,V5), P_product-{F}(V9,V17,V18,V5), P_sum-{F}(V18,V19,V20,V5), P_sum-{F}(V16,V19,V21,V5), P_sum-{F}(V16,V21,V22,V23), P_ifeq2-{F}(V5,V5,V20,V22,V24), P_ifeq2-{F}(V23,V5,V24,V22,V25), V25 == V22 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #751: mergings( V2 == V3, V5 == V17, V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V18, V18 == V20, V17 == V19, V19 == V21; #735 ), references = 1, size of lhs = 20:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_additive_identity-{F}(V4), P_sum-{F}(V4,V4,V4,V5), P_sum-{F}(V0,V4,V0,V5), P_true-{F}(V5), P_sum-{F}(V6,V3,V4,V5), P_product-{F}(V7,V4,V4,V5), P_product-{F}(V0,V0,V8,V5), P_sum-{F}(V9,V4,V10,V5), P_sum-{F}(V11,V9,V6,V5), P_sum-{F}(V11,V10,V12,V5), P_sum-{F}(V8,V12,V13,V5), P_product-{F}(V7,V13,V14,V15), P_ifeq2-{F}(V5,V5,V13,V14,V16), P_ifeq2-{F}(V15,V5,V16,V14,V17), V17 == V14 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #788: mergings( V3 == V4, V4 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V5 == V17, V14 == V15, V17 == V30, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V31, V31 == V32; #763 ), references = 1, size of lhs = 26:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V0), P_c-{F}(V1), P_product-{F}(V0,V0,V1,V2), P_d-{F}(V3), P_true-{F}(V4), P_additive_identity-{F}(V5), P_sum-{F}(V5,V5,V5,V4), P_sum-{F}(V0,V5,V0,V4), P_product-{F}(V5,V5,V5,V4), P_sum-{F}(V6,V3,V5,V4), P_product-{F}(V0,V0,V7,V4), P_sum-{F}(V5,V7,V7,V4), P_sum-{F}(V8,V9,V5,V4), P_product-{F}(V7,V10,V8,V4), P_product-{F}(V11,V10,V9,V4), P_sum-{F}(V12,V11,V10,V4), P_sum-{F}(V13,V7,V12,V4), P_product-{F}(V11,V13,V14,V4), P_product-{F}(V7,V13,V15,V4), P_sum-{F}(V15,V14,V16,V4), P_sum-{F}(V17,V16,V5,V4), P_sum-{F}(V17,V18,V18,V4), P_sum-{F}(V19,V5,V20,V4), P_sum-{F}(V21,V19,V6,V4), P_sum-{F}(V21,V20,V11,V4) | P_add-{T}(V7,V11,V5)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #838: mergings( V4 == V14, V3 == V0, V0 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V16, V11 == V14, V14 == V17; #823 ), references = 3, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_sum-{F}(V0,V0,V0,V1), P_true-{F}(V1), P_product-{F}(V2,V0,V0,V1) | P_multiply-{T}(V0,V2,V0)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #849: mergings( V2 == V4, V4 == V6, V3 == V5, V5 == V7; #843 ), references = 1, size of lhs = 9:
% 62.15/62.33 P_c-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_product-{F}(V2,V3,V0,V4), P_additive_inverse-{F}(V3,V5), P_sum-{F}(V5,V5,V5,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #852: mergings( V2 == V5, V3 == V4; #844 ), references = 1, size of lhs = 10:
% 62.15/62.33 P_c-{F}(V0), P_d-{F}(V0), P_additive_identity-{F}(V0), P_b-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V0,V0,V1), P_a-{F}(V2), P_product-{F}(V2,V0,V0,V3), P_sum-{F}(V4,V0,V0,V1), P_sum-{F}(V4,V5,V5,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #858: mergings( V2 == V8, V3 == V4; #855 ), references = 1, size of lhs = 13:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_d-{F}(V4), P_true-{F}(V5), P_sum-{F}(V1,V1,V1,V5), P_ifeq2-{F}(V5,V5,V1,V4,V6), P_ifeq2-{F}(V5,V5,V6,V4,V7), V7 == V4, P_sum-{F}(V8,V1,V1,V5), P_sum-{F}(V8,V9,V9,V5) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #863: mergings( V1 == V7, V2 == V4; #860 ), references = 1, size of lhs = 9:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_true-{F}(V4), P_sum-{F}(V1,V1,V1,V4), P_sum-{F}(V5,V1,V1,V4), P_sum-{F}(V5,V6,V6,V4) | P_d-{T}(V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #887: exists( #22, #593 ), references = 1, size of lhs = 16:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V2,V3,V1), P_product-{F}(V4,V5,V2,V1), P_product-{F}(V4,V6,V7,V1), P_product-{F}(V6,V8,V9,V1), P_product-{F}(V5,V10,V9,V1), P_sum-{F}(V9,V9,V11,V1), P_product-{F}(V4,V11,V12,V1), P_product-{F}(V13,V10,V14,V1), P_sum-{F}(V15,V13,V3,V1), P_product-{F}(V15,V10,V16,V1), P_sum-{F}(V12,V17,V18,V1), P_sum-{F}(V14,V17,V19,V1), P_sum-{F}(V16,V19,V20,V21), P_ifeq2-{F}(V1,V1,V18,V20,V22) | P_ifeq2-{T}(V21,V1,V22,V20,V20)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #891: exists( #23, #10 ), references = 1, size of lhs = 4:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V2,V3,V4,V5), P_sum-{F}(V3,V2,V4,V6) | P_ifeq-{T}(V5,V1,V6,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #892: exists( #23, #8 ), references = 1, size of lhs = 8:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_sum-{F}(V7,V8,V9,V5), P_sum-{F}(V10,V7,V11,V2), P_sum-{F}(V10,V9,V12,V3), P_sum-{F}(V11,V8,V12,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #893: exists( #23, #9 ), references = 1, size of lhs = 8:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_ifeq-{F}(V2,V1,V3,V1,V4), P_ifeq-{F}(V5,V1,V4,V1,V6), P_sum-{F}(V7,V8,V9,V5), P_sum-{F}(V7,V10,V11,V2), P_sum-{F}(V11,V12,V9,V3), P_sum-{F}(V10,V12,V8,V13) | P_ifeq-{T}(V13,V1,V6,V1,V1)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #918: mergings( V2 == V3, V3 == V9, V9 == V11, V11 == V12, V10 == V13; #911 ), references = 2, size of lhs = 28:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_product-{F}(V4,V6,V6,V7), P_true-{F}(V7), P_sum-{F}(V8,V1,V1,V7), P_product-{F}(V4,V8,V9,V7), P_sum-{F}(V10,V5,V9,V7), P_sum-{F}(V10,V11,V11,V7), P_sum-{F}(V12,V12,V13,V7), P_sum-{F}(V14,V4,V13,V7), P_product-{F}(V14,V1,V15,V7), P_product-{F}(V16,V17,V12,V7), P_product-{F}(V17,V1,V18,V7), P_sum-{F}(V18,V18,V19,V7), P_product-{F}(V16,V19,V20,V7), P_product-{F}(V16,V21,V22,V7), P_product-{F}(V21,V23,V18,V7), P_sum-{F}(V20,V24,V25,V7), P_sum-{F}(V6,V24,V26,V7), P_sum-{F}(V15,V26,V27,V28), P_ifeq2-{F}(V7,V7,V25,V27,V29), P_ifeq2-{F}(V28,V7,V29,V27,V30), V30 == V27 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #942: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V7, V7 == V13, V6 == V14; #935 ), references = 1, size of lhs = 29:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_sum-{F}(V6,V6,V6,V7), P_sum-{F}(V1,V6,V1,V7), P_product-{F}(V4,V6,V6,V7), P_true-{F}(V7), P_product-{F}(V4,V6,V8,V7), P_sum-{F}(V9,V5,V8,V7), P_sum-{F}(V9,V10,V10,V7), P_sum-{F}(V11,V11,V12,V7), P_sum-{F}(V13,V4,V12,V7), P_product-{F}(V13,V1,V14,V7), P_product-{F}(V15,V16,V11,V7), P_product-{F}(V16,V1,V17,V7), P_sum-{F}(V17,V17,V18,V7), P_product-{F}(V15,V18,V19,V7), P_product-{F}(V15,V20,V21,V7), P_product-{F}(V20,V22,V17,V7), P_sum-{F}(V19,V23,V24,V7), P_sum-{F}(V6,V23,V25,V7), P_sum-{F}(V14,V25,V26,V27), P_ifeq2-{F}(V7,V7,V24,V26,V28), P_ifeq2-{F}(V27,V7,V28,V26,V29), V29 == V26 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #963: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V11 == V18, V9 == V10, V10 == V12, V12 == V17, V4 == V18; #951 ), references = 1, size of lhs = 20:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), P_sum-{F}(V1,V5,V1,V6), P_true-{F}(V6), P_product-{F}(V0,V1,V0,V6), P_sum-{F}(V5,V5,V5,V6), P_sum-{F}(V0,V5,V0,V6), P_sum-{F}(V7,V4,V5,V6), P_sum-{F}(V7,V8,V8,V6), P_sum-{F}(V9,V9,V5,V6), P_product-{F}(V10,V11,V9,V6), P_product-{F}(V11,V1,V12,V6), P_sum-{F}(V12,V12,V13,V6), P_product-{F}(V10,V13,V5,V6), P_product-{F}(V10,V14,V15,V6), P_product-{F}(V14,V16,V12,V6) | P_additive_inverse-{T}(V0,V5)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #991: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V7 == V9, V9 == V11; #982 ), references = 1, size of lhs = 17:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V4), P_product-{F}(V2,V3,V4,V5), P_additive_inverse-{F}(V2,V6), P_product-{F}(V6,V0,V7,V1), P_product-{F}(V6,V3,V8,V1), P_sum-{F}(V0,V9,V9,V1), P_sum-{F}(V3,V9,V3,V1), P_product-{F}(V6,V9,V10,V1), P_sum-{F}(V11,V8,V10,V1), P_sum-{F}(V12,V7,V13,V1), P_sum-{F}(V14,V12,V11,V1), P_sum-{F}(V14,V13,V4,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1016: mergings( V2 == V8, V3 == V9, V4 == V10, V5 == V11, V6 == V12; #1010 ), references = 1, size of lhs = 8:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_additive_inverse-{F}(V2,V3), P_b-{F}(V4), P_c-{F}(V5), P_d-{F}(V5), P_product-{F}(V2,V4,V5,V6) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1022: mergings( V2 == V5, V3 == V6, V4 == V9, V8 == V10; #1017 ), references = 2, size of lhs = 7:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V4), P_product-{F}(V2,V3,V4,V5) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1078: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V17, V7 == V9, V9 == V11, V11 == V18; #1065 ), references = 1, size of lhs = 20:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_true-{F}(V7), P_product-{F}(V4,V6,V8,V7), P_product-{F}(V4,V1,V9,V7), P_sum-{F}(V6,V10,V10,V7), P_sum-{F}(V1,V10,V1,V7), P_product-{F}(V4,V10,V11,V7), P_sum-{F}(V12,V9,V11,V7), P_sum-{F}(V13,V8,V14,V7), P_sum-{F}(V15,V13,V12,V7), P_sum-{F}(V15,V14,V16,V7), P_ifeq2-{F}(V7,V7,V5,V16,V17), P_ifeq2-{F}(V7,V7,V17,V16,V18), V18 == V16 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1092: mergings( V4 == V7, V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V13, V13 == V14, V14 == V20, V7 == V12, V12 == V21; #1066 ), references = 3, size of lhs = 31:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_sum-{F}(V6,V6,V6,V7), P_true-{F}(V7), P_sum-{F}(V6,V6,V8,V7), P_sum-{F}(V6,V9,V9,V7), P_sum-{F}(V1,V9,V1,V7), P_product-{F}(V10,V9,V11,V7), P_sum-{F}(V4,V10,V12,V7), P_sum-{F}(V13,V13,V12,V7), P_product-{F}(V14,V6,V13,V7), P_product-{F}(V14,V8,V15,V7), P_product-{F}(V10,V6,V16,V7), P_product-{F}(V10,V1,V17,V7), P_sum-{F}(V18,V17,V11,V7), P_sum-{F}(V19,V16,V20,V7), P_sum-{F}(V21,V19,V18,V7), P_sum-{F}(V21,V20,V22,V7), P_product-{F}(V14,V23,V24,V7), P_product-{F}(V23,V25,V6,V7), P_sum-{F}(V15,V26,V27,V7), P_sum-{F}(V22,V26,V28,V7), P_sum-{F}(V5,V28,V29,V30), P_ifeq2-{F}(V7,V7,V27,V29,V31), P_ifeq2-{F}(V30,V7,V31,V29,V32), V32 == V29 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1119: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V12; #1112 ), references = 1, size of lhs = 26:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), P_true-{F}(V6), P_product-{F}(V0,V1,V0,V6), P_sum-{F}(V5,V5,V5,V6), P_product-{F}(V0,V5,V5,V6), P_sum-{F}(V5,V5,V7,V6), P_sum-{F}(V5,V8,V8,V6), P_sum-{F}(V1,V8,V1,V6), P_product-{F}(V0,V8,V5,V6), P_product-{F}(V9,V7,V5,V6), P_product-{F}(V9,V5,V10,V6), P_sum-{F}(V10,V10,V5,V6), P_sum-{F}(V5,V11,V11,V6), P_sum-{F}(V0,V11,V0,V6), P_sum-{F}(V0,V5,V12,V6), P_product-{F}(V9,V13,V14,V6), P_product-{F}(V13,V15,V5,V6), P_sum-{F}(V4,V5,V16,V17), P_ifeq2-{F}(V6,V6,V12,V16,V18), P_ifeq2-{F}(V17,V6,V18,V16,V19), V19 == V16 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1129: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V11; #1122 ), references = 1, size of lhs = 21:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_identity-{F}(V4), P_true-{F}(V5), P_product-{F}(V0,V1,V0,V5), P_sum-{F}(V4,V4,V4,V5), P_product-{F}(V0,V4,V4,V5), P_sum-{F}(V4,V4,V6,V5), P_sum-{F}(V4,V7,V7,V5), P_sum-{F}(V1,V7,V1,V5), P_product-{F}(V0,V7,V4,V5), P_product-{F}(V8,V6,V4,V5), P_product-{F}(V8,V4,V9,V5), P_sum-{F}(V9,V9,V4,V5), P_sum-{F}(V4,V10,V10,V5), P_sum-{F}(V0,V10,V0,V5), P_sum-{F}(V0,V4,V11,V5), P_product-{F}(V8,V12,V13,V5), P_product-{F}(V12,V14,V4,V5) | P_d-{T}(V11)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1151: mergings( V2 == V3, V3 == V10; #1148 ), references = 1, size of lhs = 27:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_inverse-{F}(V0,V4), P_d-{F}(V5), P_additive_identity-{F}(V6), P_sum-{F}(V6,V6,V6,V7), P_true-{F}(V7), P_sum-{F}(V6,V6,V8,V7), P_sum-{F}(V6,V9,V9,V7), P_sum-{F}(V1,V9,V1,V7), P_product-{F}(V10,V9,V6,V7), P_sum-{F}(V4,V10,V11,V7), P_sum-{F}(V12,V12,V11,V7), P_product-{F}(V13,V6,V12,V7), P_product-{F}(V13,V8,V14,V7), P_product-{F}(V10,V6,V15,V7), P_sum-{F}(V6,V15,V6,V7), P_product-{F}(V10,V1,V16,V7), P_sum-{F}(V14,V16,V17,V7), P_product-{F}(V13,V18,V19,V7), P_product-{F}(V18,V20,V6,V7), P_sum-{F}(V5,V6,V21,V22), P_ifeq2-{F}(V7,V7,V17,V21,V23), P_ifeq2-{F}(V22,V7,V23,V21,V24), V24 == V21 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1170: mergings( V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V10, V10 == V11, V11 == V16, V8 == V17; #1159 ), references = 2, size of lhs = 28:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_d-{F}(V4), P_additive_identity-{F}(V5), P_true-{F}(V6), P_sum-{F}(V5,V5,V5,V6), P_sum-{F}(V5,V5,V7,V6), P_sum-{F}(V5,V8,V8,V6), P_sum-{F}(V1,V8,V1,V6), P_product-{F}(V0,V8,V5,V6), P_sum-{F}(V9,V9,V5,V6), P_product-{F}(V10,V5,V9,V6), P_product-{F}(V10,V7,V11,V6), P_product-{F}(V0,V5,V12,V6), P_sum-{F}(V5,V12,V5,V6), P_product-{F}(V0,V1,V13,V6), P_product-{F}(V5,V14,V11,V6), P_product-{F}(V0,V14,V13,V6), P_sum-{F}(V0,V5,V15,V6), P_product-{F}(V15,V14,V16,V6), P_product-{F}(V10,V17,V18,V6), P_product-{F}(V17,V19,V5,V6), P_sum-{F}(V4,V5,V20,V21), P_ifeq2-{F}(V6,V6,V16,V20,V22), P_ifeq2-{F}(V21,V6,V22,V20,V23), V23 == V20 | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1174: exists( #34, #1172 ), references = 1, size of lhs = 23:
% 62.15/62.33 P_a-{F}(V0), P_b-{F}(V1), P_c-{F}(V2), P_product-{F}(V0,V1,V2,V3), P_additive_identity-{F}(V4), P_true-{F}(V5), P_sum-{F}(V4,V4,V4,V5), P_sum-{F}(V4,V4,V6,V5), P_sum-{F}(V4,V7,V7,V5), P_sum-{F}(V1,V7,V1,V5), P_product-{F}(V0,V7,V4,V5), P_sum-{F}(V8,V8,V4,V5), P_product-{F}(V9,V4,V8,V5), P_product-{F}(V9,V6,V10,V5), P_product-{F}(V0,V4,V11,V5), P_sum-{F}(V4,V11,V4,V5), P_product-{F}(V0,V1,V12,V5), P_product-{F}(V4,V13,V10,V5), P_product-{F}(V0,V13,V12,V5), P_sum-{F}(V0,V4,V14,V5), P_product-{F}(V14,V13,V15,V5), P_product-{F}(V9,V16,V17,V5), P_product-{F}(V16,V18,V4,V5) | P_d-{T}(V15)
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1181: mergings( V1 == V2, V2 == V10, V3 == V11; #1177 ), references = 1, size of lhs = 18:
% 62.15/62.33 P_additive_identity-{F}(V0), P_sum-{F}(V0,V0,V0,V1), P_true-{F}(V1), P_sum-{F}(V0,V0,V2,V1), P_sum-{F}(V0,V3,V3,V1), P_sum-{F}(V4,V4,V0,V1), P_product-{F}(V5,V0,V4,V1), P_product-{F}(V5,V2,V6,V1), P_sum-{F}(V0,V7,V0,V1), P_a-{F}(V8), P_product-{F}(V8,V3,V0,V1), P_product-{F}(V8,V0,V7,V1), P_sum-{F}(V8,V0,V8,V1), P_b-{F}(V9), P_sum-{F}(V9,V3,V9,V1), P_product-{F}(V0,V9,V6,V1), P_product-{F}(V5,V10,V11,V1), P_product-{F}(V10,V12,V0,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1196: mergings( V2 == V4, V4 == V8, V1 == V3, V3 == V5, V5 == V6, V6 == V7, V7 == V13, V8 == V14; #1187 ), references = 2, size of lhs = 14:
% 62.15/62.33 P_additive_identity-{F}(V0), P_sum-{F}(V0,V0,V0,V1), P_true-{F}(V1), P_sum-{F}(V0,V0,V2,V1), P_sum-{F}(V3,V3,V0,V1), P_product-{F}(V4,V0,V3,V1), P_product-{F}(V4,V2,V0,V1), P_sum-{F}(V0,V5,V0,V1), P_a-{F}(V6), P_product-{F}(V6,V0,V0,V1), P_product-{F}(V6,V0,V5,V1), P_sum-{F}(V6,V0,V6,V1), P_product-{F}(V4,V7,V8,V1), P_product-{F}(V7,V9,V0,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1203: mergings( V1 == V4, V2 == V3; #1200 ), references = 1, size of lhs = 9:
% 62.15/62.33 P_additive_identity-{F}(V0), P_true-{F}(V1), P_sum-{F}(V0,V0,V0,V1), P_sum-{F}(V0,V0,V2,V1), P_sum-{F}(V3,V3,V0,V1), P_product-{F}(V4,V0,V3,V1), P_product-{F}(V4,V2,V0,V1), P_product-{F}(V4,V5,V6,V1), P_product-{F}(V5,V7,V0,V1) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1212: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5; #1207 ), references = 1, size of lhs = 1:
% 62.15/62.33 P_additive_identity-{F}(V0) | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 #1214: exists( #25, #1207 ), references = 1, size of lhs = 0:
% 62.15/62.33 FALSE | FALSE
% 62.15/62.33 (used 0 times, uses = {})
% 62.15/62.33
% 62.15/62.33 number of learnt formulas = 81
% 62.15/62.33
% 62.15/62.33
% 62.15/62.33 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.15/62.33
% 62.15/62.33 randbase = 1
%------------------------------------------------------------------------------