TSTP Solution File: FLD088-3 by Geo-III---2018C
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- Process Solution
%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD088-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n004.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 06:01:20 EDT 2022
% Result : Unsatisfiable 215.47s 215.67s
% Output : Refutation 215.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : FLD088-3 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.13/0.33 % Computer : n004.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 10:08:06 EDT 2022
% 0.13/0.33 % CPUTime :
% 215.47/215.67 GeoParameters:
% 215.47/215.67
% 215.47/215.67 tptp_input = 1
% 215.47/215.67 tptp_output = 0
% 215.47/215.67 nonempty = 1
% 215.47/215.67 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.47/215.67 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 215.47/215.67
% 215.47/215.67
% 215.47/215.67 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.47/215.67 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.47/215.67
% 215.47/215.67 RuleSystem INPUT:
% 215.47/215.67
% 215.47/215.67 Initial Rules:
% 215.47/215.67 #0: input, references = 22, size of lhs = 3:
% 215.47/215.67 sum-{F}(V1,V2,V0), sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1) | sum-{T}(V5,V4,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1: input, references = 10, size of lhs = 3:
% 215.47/215.67 sum-{F}(V3,V2,V4), sum-{F}(V5,V3,V1), sum-{F}(V5,V4,V0) | sum-{T}(V1,V2,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2: input, references = 15, size of lhs = 2:
% 215.47/215.67 P_additive_identity-{F}(V0), defined-{F}(V1) | sum-{T}(V0,V1,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #3: input, references = 6, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), defined-{F}(V1) | sum-{T}(V2,V1,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #4: input, references = 23, size of lhs = 2:
% 215.47/215.67 P_additive_identity-{F}(V0), sum-{F}(V1,V2,V3) | sum-{T}(V2,V1,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #5: input, references = 9, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), product-{F}(V2,V3,V1), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2) | product-{T}(V6,V5,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #6: input, references = 7, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), product-{F}(V4,V3,V5), product-{F}(V6,V4,V2), product-{F}(V6,V5,V1) | product-{T}(V2,V3,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #7: input, references = 13, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | product-{T}(V1,V2,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #8: input, references = 6, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | product-{T}(V3,V2,V1), sum-{T}(V0,V2,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #9: input, references = 15, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V2,V3,V4) | product-{T}(V3,V2,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #10: input, references = 15, size of lhs = 6:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), product-{F}(V5,V6,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | sum-{T}(V2,V3,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #11: input, references = 11, size of lhs = 6:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V2,V3,V4), product-{F}(V7,V6,V3), sum-{F}(V8,V7,V5), product-{F}(V8,V6,V2) | product-{T}(V5,V6,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #12: input, references = 3, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #13: input, references = 4, size of lhs = 2:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #14: input, references = 5, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #15: input, references = 5, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | defined-{T}(V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #16: input, references = 4, size of lhs = 2:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #17: input, references = 5, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), sum-{T}(V0,V2,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #18: input, references = 11, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V3,V2,V4), defined-{F}(V3) | sum-{T}(V3,V2,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #19: input, references = 7, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3) | product-{T}(V3,V2,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #20: input, references = 4, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | sum-{T}(V0,V2,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #21: input, references = 3, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V4,V2) | less_or_equal-{T}(V4,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #22: input, references = 6, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3) | less_or_equal-{T}(V3,V2), less_or_equal-{T}(V2,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #23: input, references = 11, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V5,V2), sum-{F}(V5,V4,V3), sum-{F}(V2,V4,V6) | less_or_equal-{T}(V3,V6)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #24: input, references = 5, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V3), less_or_equal-{F}(V0,V4), product-{F}(V4,V3,V2) | less_or_equal-{T}(V0,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #25: input, references = 4, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V0,V1) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #26: input, references = 4, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #27: input, references = 3, size of lhs = 4:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), sum-{F}(V0,V2,V0) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #28: input, references = 4, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | less_or_equal-{T}(V2,V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #29: input, references = 4, size of lhs = 5:
% 215.47/215.67 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_multiplicative_inverse-{F}(V2,V3), less_or_equal-{F}(V3,V0) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #30: input, references = 4, size of lhs = 0:
% 215.47/215.67 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #31: input, references = 5, size of lhs = 1:
% 215.47/215.67 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #32: input, references = 4, size of lhs = 0:
% 215.47/215.67 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #33: input, references = 5, size of lhs = 1:
% 215.47/215.67 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #34: input, references = 7, size of lhs = 2:
% 215.47/215.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #35: input, references = 6, size of lhs = 2:
% 215.47/215.67 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #36: input, references = 4, size of lhs = 0:
% 215.47/215.67 FALSE | EXISTS V0: P_a-{T}(V0)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 number of initial rules = 37
% 215.47/215.67
% 215.47/215.67 Simplifiers:
% 215.47/215.67 #37: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #38: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #39: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #40: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #41: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #42: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #43: unsound, references = 3, size of lhs = 3:
% 215.47/215.67 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 number of simplifiers = 7
% 215.47/215.67
% 215.47/215.67 Learnt:
% 215.47/215.67 #86: mergings( V0 == V4, V4 == V6, V1 == V5, V5 == V7; #81 ), references = 5, size of lhs = 8:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_a-{F}(V4), P_multiplicative_inverse-{F}(V4,V5), sum-{F}(V1,V6,V5), sum-{F}(V0,V6,V2) | less_or_equal-{T}(V0,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #334: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V4 == V6, V6 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19; #318 ), references = 4, size of lhs = 19:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V0), less_or_equal-{F}(V2,V1), P_multiplicative_identity-{F}(V3), sum-{F}(V2,V4,V2), sum-{F}(V2,V5,V4), sum-{F}(V5,V2,V6), less_or_equal-{F}(V7,V8), sum-{F}(V9,V7,V2), sum-{F}(V9,V10,V6), sum-{F}(V8,V11,V2), sum-{F}(V11,V10,V3), product-{F}(V12,V0,V13), sum-{F}(V1,V12,V14), product-{F}(V14,V0,V15), sum-{F}(V13,V16,V9), sum-{F}(V15,V16,V11) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #360: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V13, V13 == V14, V14 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V24, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V18, V18 == V21, V21 == V23, V23 == V25; #340 ), references = 4, size of lhs = 25:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), sum-{F}(V6,V4,V4), sum-{F}(V4,V6,V7), sum-{F}(V4,V7,V4), product-{F}(V8,V2,V0), product-{F}(V9,V2,V1), sum-{F}(V9,V8,V10), sum-{F}(V3,V10,V11), product-{F}(V11,V2,V12), sum-{F}(V0,V13,V0), sum-{F}(V12,V13,V14), sum-{F}(V15,V14,V4), less_or_equal-{F}(V16,V15), sum-{F}(V14,V16,V5), sum-{F}(V0,V17,V18), sum-{F}(V1,V18,V19), sum-{F}(V17,V20,V16), sum-{F}(V19,V20,V4) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #388: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V4 == V6, V6 == V8, V8 == V12, V12 == V14, V14 == V16, V16 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31; #364 ), references = 5, size of lhs = 26:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), product-{F}(V0,V4,V2), product-{F}(V1,V4,V3), defined-{F}(V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V6,V6), sum-{F}(V6,V8,V9), sum-{F}(V6,V9,V6), product-{F}(V7,V4,V10), sum-{F}(V2,V11,V2), sum-{F}(V10,V11,V5), less_or_equal-{F}(V1,V12), sum-{F}(V12,V0,V13), sum-{F}(V13,V5,V6), sum-{F}(V5,V1,V14), sum-{F}(V14,V0,V7), sum-{F}(V2,V1,V15), sum-{F}(V3,V15,V16), sum-{F}(V16,V0,V6) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #426: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V21, V21 == V22, V22 == V24, V24 == V26, V26 == V27, V27 == V29, V29 == V31, V3 == V8, V8 == V10, V10 == V0, V0 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V23, V23 == V25, V25 == V28, V28 == V30; #396 ), references = 1, size of lhs = 10:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), less_or_equal-{F}(V0,V1), sum-{F}(V1,V0,V0), P_additive_identity-{F}(V1), sum-{F}(V2,V1,V1), sum-{F}(V1,V2,V3), sum-{F}(V1,V3,V1), less_or_equal-{F}(V0,V4), sum-{F}(V4,V0,V0) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #599: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V10, V6 == V8, V8 == V1; #590 ), references = 1, size of lhs = 20:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V0), less_or_equal-{F}(V3,V2), P_multiplicative_identity-{F}(V4), product-{F}(V4,V4,V4), sum-{F}(V5,V3,V3), sum-{F}(V3,V5,V6), sum-{F}(V3,V6,V3), less_or_equal-{F}(V7,V4), sum-{F}(V4,V7,V3), sum-{F}(V2,V1,V8), product-{F}(V8,V0,V4), product-{F}(V4,V1,V9), product-{F}(V9,V0,V3), product-{F}(V10,V0,V4), sum-{F}(V1,V10,V11), product-{F}(V11,V0,V4) | sum-{T}(V3,V0,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #607: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V11, V1 == V6, V6 == V8, V8 == V12; #591 ), references = 1, size of lhs = 28:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiplicative_inverse-{F}(V1,V2), sum-{F}(V2,V2,V2), defined-{F}(V3), defined-{F}(V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V0), less_or_equal-{F}(V5,V4), sum-{F}(V6,V5,V5), sum-{F}(V5,V6,V7), sum-{F}(V5,V7,V5), product-{F}(V8,V0,V0), product-{F}(V9,V0,V3), sum-{F}(V9,V8,V10), sum-{F}(V4,V10,V0), product-{F}(V0,V0,V11), sum-{F}(V5,V0,V12), product-{F}(V0,V0,V12), product-{F}(V0,V2,V13), product-{F}(V13,V1,V5), less_or_equal-{F}(V14,V11), sum-{F}(V12,V14,V0), sum-{F}(V0,V15,V16), sum-{F}(V3,V16,V17), sum-{F}(V15,V18,V14), sum-{F}(V17,V18,V5) | sum-{T}(V5,V1,V5)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #615: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V10, V1 == V6, V6 == V8, V8 == V11; #592 ), references = 1, size of lhs = 28:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiplicative_inverse-{F}(V2,V1), defined-{F}(V3), sum-{F}(V0,V1,V3), product-{F}(V0,V2,V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V4,V3), sum-{F}(V4,V1,V4), sum-{F}(V5,V4,V4), sum-{F}(V4,V5,V6), sum-{F}(V4,V6,V4), product-{F}(V0,V2,V7), sum-{F}(V0,V8,V0), sum-{F}(V7,V8,V3), less_or_equal-{F}(V1,V9), sum-{F}(V9,V1,V0), sum-{F}(V3,V1,V10), sum-{F}(V10,V1,V0), product-{F}(V11,V2,V1), sum-{F}(V11,V1,V12), product-{F}(V12,V2,V13), product-{F}(V14,V15,V2), product-{F}(V13,V14,V16), product-{F}(V16,V15,V4) | sum-{T}(V4,V2,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #758: mergings( V1 == V8; #754 ), references = 1, size of lhs = 24:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), product-{F}(V0,V3,V2), defined-{F}(V4), product-{F}(V4,V3,V1), P_multiplicative_inverse-{F}(V4,V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V3), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V0,V6), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V6,V6), sum-{F}(V6,V8,V9), sum-{F}(V6,V9,V6), product-{F}(V7,V3,V10), sum-{F}(V1,V11,V1), sum-{F}(V10,V11,V4), sum-{F}(V4,V0,V12), sum-{F}(V12,V4,V7), sum-{F}(V1,V0,V13), sum-{F}(V2,V13,V14), sum-{F}(V14,V4,V6) | product-{T}(V5,V4,V7)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #893: mergings( V0 == V4, V4 == V5, V5 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V16, V16 == V18, V18 == V20, V20 == V24, V1 == V6, V6 == V13, V13 == V17, V17 == V19, V19 == V25; #875 ), references = 1, size of lhs = 32:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V2), less_or_equal-{F}(V2,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), product-{F}(V4,V7,V6), less_or_equal-{F}(V2,V7), P_multiplicative_identity-{F}(V8), sum-{F}(V3,V8,V8), sum-{F}(V9,V2,V2), sum-{F}(V2,V9,V10), sum-{F}(V2,V10,V2), product-{F}(V8,V7,V11), sum-{F}(V11,V4,V2), less_or_equal-{F}(V4,V12), sum-{F}(V12,V5,V13), sum-{F}(V13,V2,V2), sum-{F}(V2,V14,V6), sum-{F}(V2,V14,V15), sum-{F}(V15,V5,V2), product-{F}(V16,V1,V7), product-{F}(V5,V16,V8), sum-{F}(V17,V2,V2), sum-{F}(V5,V17,V18), sum-{F}(V18,V2,V8) | sum-{T}(V2,V0,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #924: mergings( V0 == V3, V3 == V4, V4 == V9, V9 == V10, V10 == V2, V2 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V20, V20 == V22, V22 == V24, V1 == V5, V5 == V6, V6 == V11, V11 == V17, V17 == V21, V21 == V23, V23 == V28, V28 == V39; #900 ), references = 1, size of lhs = 47:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), product-{F}(V4,V7,V6), less_or_equal-{F}(V2,V7), sum-{F}(V8,V2,V2), sum-{F}(V2,V8,V9), sum-{F}(V2,V9,V2), sum-{F}(V2,V10,V6), sum-{F}(V2,V10,V11), sum-{F}(V11,V5,V2), product-{F}(V12,V1,V7), product-{F}(V5,V12,V13), sum-{F}(V3,V13,V13), P_multiplicative_identity-{F}(V13), product-{F}(V13,V7,V14), sum-{F}(V14,V4,V2), sum-{F}(V15,V2,V2), sum-{F}(V5,V15,V16), sum-{F}(V16,V2,V13), defined-{F}(V17), less_or_equal-{F}(V2,V17), defined-{F}(V18), less_or_equal-{F}(V2,V18), sum-{F}(V0,V19,V13), sum-{F}(V2,V20,V4), sum-{F}(V2,V20,V21), sum-{F}(V21,V5,V22), sum-{F}(V22,V2,V2), sum-{F}(V2,V23,V2), sum-{F}(V2,V24,V23), sum-{F}(V24,V2,V25), sum-{F}(V26,V2,V2), sum-{F}(V26,V19,V25), product-{F}(V27,V17,V28), sum-{F}(V18,V27,V29), product-{F}(V29,V17,V30), sum-{F}(V28,V31,V26), sum-{F}(V30,V31,V0) | less_or_equal-{T}(V2,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #945: mergings( V0 == V3, V3 == V8, V8 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V19, V19 == V21, V21 == V23, V23 == V2, V1 == V4, V4 == V5, V5 == V10, V10 == V16, V16 == V20, V20 == V22, V22 == V27, V27 == V39; #901 ), references = 1, size of lhs = 50:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_additive_identity-{F}(V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V1,V3,V4), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), product-{F}(V4,V7,V6), less_or_equal-{F}(V2,V7), sum-{F}(V8,V2,V2), sum-{F}(V2,V8,V9), sum-{F}(V2,V9,V2), sum-{F}(V2,V10,V6), sum-{F}(V2,V10,V11), sum-{F}(V11,V5,V2), product-{F}(V12,V1,V7), product-{F}(V5,V12,V13), sum-{F}(V3,V13,V13), P_multiplicative_identity-{F}(V13), sum-{F}(V0,V2,V13), product-{F}(V13,V7,V14), sum-{F}(V14,V4,V2), sum-{F}(V15,V2,V2), sum-{F}(V5,V15,V16), sum-{F}(V16,V2,V13), defined-{F}(V17), defined-{F}(V18), defined-{F}(V19), less_or_equal-{F}(V2,V19), sum-{F}(V20,V2,V2), sum-{F}(V2,V20,V21), sum-{F}(V2,V21,V2), product-{F}(V22,V19,V17), product-{F}(V23,V19,V18), sum-{F}(V23,V22,V24), sum-{F}(V2,V24,V25), product-{F}(V25,V19,V26), sum-{F}(V17,V27,V17), sum-{F}(V26,V27,V0), sum-{F}(V28,V0,V2), sum-{F}(V17,V28,V29), sum-{F}(V18,V29,V2), sum-{F}(V2,V30,V4), sum-{F}(V2,V30,V31), sum-{F}(V31,V5,V32), sum-{F}(V32,V2,V2) | less_or_equal-{T}(V2,V2)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #968: mergings( V0 == V4, V4 == V7, V7 == V8, V8 == V2, V2 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V18, V18 == V20, V20 == V22, V22 == V3, V3 == V41, V1 == V5, V5 == V6, V6 == V9, V9 == V15, V15 == V19, V19 == V21, V21 == V26, V26 == V42; #902 ), references = 1, size of lhs = 52:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), product-{F}(V1,V4,V3), defined-{F}(V5), less_or_equal-{F}(V5,V4), P_additive_identity-{F}(V5), sum-{F}(V6,V5,V5), sum-{F}(V5,V6,V7), sum-{F}(V5,V7,V5), sum-{F}(V5,V8,V3), sum-{F}(V5,V8,V9), sum-{F}(V9,V2,V5), sum-{F}(V10,V5,V5), sum-{F}(V2,V10,V11), sum-{F}(V11,V5,V12), sum-{F}(V0,V12,V12), P_multiplicative_identity-{F}(V12), product-{F}(V12,V4,V13), sum-{F}(V13,V1,V5), product-{F}(V2,V14,V12), defined-{F}(V15), sum-{F}(V5,V15,V5), defined-{F}(V16), defined-{F}(V17), defined-{F}(V18), product-{F}(V15,V18,V16), product-{F}(V5,V18,V17), less_or_equal-{F}(V5,V18), defined-{F}(V19), less_or_equal-{F}(V5,V19), P_multiplicative_inverse-{F}(V19,V20), P_additive_inverse-{F}(V20,V5), P_multiply-{F}(V20,V0,V1), product-{F}(V14,V20,V4), sum-{F}(V21,V5,V5), sum-{F}(V5,V21,V22), sum-{F}(V5,V22,V5), product-{F}(V12,V18,V23), sum-{F}(V16,V24,V16), sum-{F}(V23,V24,V19), sum-{F}(V19,V5,V25), sum-{F}(V25,V15,V12), sum-{F}(V16,V5,V26), sum-{F}(V17,V26,V27), sum-{F}(V27,V15,V5), sum-{F}(V5,V28,V1), sum-{F}(V5,V28,V29), sum-{F}(V29,V2,V30), sum-{F}(V30,V5,V5) | less_or_equal-{T}(V5,V5)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1410: mergings( V1 == V4; #1406 ), references = 5, size of lhs = 5:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | product-{T}(V1,V0,V3)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1412: mergings( V1 == V5; #1407 ), references = 1, size of lhs = 19:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V2), less_or_equal-{F}(V3,V3), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V0,V5), product-{F}(V0,V2,V6), product-{F}(V3,V2,V7), sum-{F}(V6,V8,V3), sum-{F}(V7,V8,V9), sum-{F}(V5,V9,V3), sum-{F}(V9,V10,V4), sum-{F}(V3,V10,V11), sum-{F}(V12,V3,V11), sum-{F}(V3,V12,V13), sum-{F}(V3,V13,V3) | product-{T}(V1,V0,V4)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1641: mergings( V1 == V4; #1637 ), references = 5, size of lhs = 5:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | defined-{T}(V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1643: mergings( V1 == V5; #1638 ), references = 1, size of lhs = 19:
% 215.47/215.67 defined-{F}(V0), P_multiplicative_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), less_or_equal-{F}(V3,V2), less_or_equal-{F}(V3,V3), P_multiplicative_identity-{F}(V4), less_or_equal-{F}(V0,V5), product-{F}(V0,V2,V6), product-{F}(V3,V2,V7), sum-{F}(V6,V8,V3), sum-{F}(V7,V8,V9), sum-{F}(V5,V9,V3), sum-{F}(V9,V10,V4), sum-{F}(V3,V10,V11), sum-{F}(V12,V3,V11), sum-{F}(V3,V12,V13), sum-{F}(V3,V13,V3) | defined-{T}(V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1708: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V12, V4 == V6, V6 == V9, V9 == V13; #1698 ), references = 2, size of lhs = 31:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V4), less_or_equal-{F}(V4,V2), less_or_equal-{F}(V4,V3), P_multiplicative_identity-{F}(V5), sum-{F}(V4,V6,V4), sum-{F}(V4,V7,V6), sum-{F}(V7,V4,V8), less_or_equal-{F}(V9,V10), sum-{F}(V11,V9,V4), sum-{F}(V11,V12,V8), sum-{F}(V13,V12,V5), product-{F}(V14,V15,V10), sum-{F}(V14,V1,V16), sum-{F}(V16,V0,V17), product-{F}(V17,V15,V18), sum-{F}(V18,V19,V4), sum-{F}(V20,V19,V13), product-{F}(V21,V15,V22), product-{F}(V23,V21,V0), product-{F}(V24,V21,V1), sum-{F}(V24,V23,V25), product-{F}(V25,V22,V20), product-{F}(V26,V2,V27), sum-{F}(V3,V26,V28), product-{F}(V28,V2,V29), sum-{F}(V27,V30,V11), sum-{F}(V29,V30,V13) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1716: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V14, V4 == V6, V6 == V9, V9 == V15; #1699 ), references = 1, size of lhs = 35:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), sum-{F}(V8,V6,V6), sum-{F}(V6,V8,V9), sum-{F}(V6,V9,V6), sum-{F}(V5,V6,V10), product-{F}(V10,V4,V11), sum-{F}(V2,V12,V2), sum-{F}(V11,V12,V13), product-{F}(V13,V4,V2), sum-{F}(V13,V14,V7), less_or_equal-{F}(V14,V15), product-{F}(V15,V4,V3), sum-{F}(V16,V13,V14), sum-{F}(V2,V16,V17), sum-{F}(V3,V17,V15), product-{F}(V18,V19,V15), sum-{F}(V18,V1,V20), sum-{F}(V20,V0,V21), product-{F}(V21,V19,V22), sum-{F}(V22,V23,V6), sum-{F}(V24,V23,V13), product-{F}(V25,V19,V26), product-{F}(V27,V25,V0), product-{F}(V28,V25,V1), sum-{F}(V28,V27,V29), product-{F}(V29,V26,V24) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1724: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V16, V4 == V6, V6 == V9, V9 == V17; #1700 ), references = 1, size of lhs = 38:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), product-{F}(V2,V6,V4), product-{F}(V3,V6,V5), defined-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V8,V7), P_multiplicative_identity-{F}(V9), sum-{F}(V10,V8,V8), sum-{F}(V8,V10,V11), sum-{F}(V8,V11,V8), product-{F}(V9,V6,V12), sum-{F}(V4,V13,V4), sum-{F}(V12,V13,V7), less_or_equal-{F}(V3,V14), sum-{F}(V14,V2,V15), sum-{F}(V7,V3,V16), sum-{F}(V16,V2,V9), sum-{F}(V4,V3,V17), sum-{F}(V5,V17,V18), sum-{F}(V18,V2,V8), product-{F}(V19,V20,V15), sum-{F}(V19,V1,V21), sum-{F}(V21,V0,V22), product-{F}(V22,V20,V23), sum-{F}(V23,V24,V8), sum-{F}(V25,V24,V7), product-{F}(V26,V20,V27), product-{F}(V28,V26,V0), product-{F}(V29,V26,V1), sum-{F}(V29,V28,V30), product-{F}(V30,V27,V25) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1769: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V19, V19 == V21, V21 == V22, V22 == V26, V3 == V5, V5 == V8, V8 == V10, V10 == V14, V14 == V16, V16 == V20, V20 == V23, V23 == V27; #1747 ), references = 1, size of lhs = 31:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V6), sum-{F}(V1,V6,V6), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), sum-{F}(V7,V3,V8), sum-{F}(V8,V2,V0), sum-{F}(V7,V9,V6), product-{F}(V10,V0,V2), product-{F}(V11,V0,V3), sum-{F}(V11,V10,V12), product-{F}(V12,V7,V13), sum-{F}(V13,V9,V14), sum-{F}(V14,V15,V7), sum-{F}(V6,V16,V6), sum-{F}(V6,V17,V16), sum-{F}(V17,V6,V18), sum-{F}(V19,V1,V6), sum-{F}(V19,V15,V18), product-{F}(V20,V4,V21), sum-{F}(V5,V20,V22), product-{F}(V22,V4,V23), sum-{F}(V21,V24,V19), sum-{F}(V23,V24,V14) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1791: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V23, V23 == V24, V24 == V28, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V16, V16 == V18, V18 == V22, V22 == V25, V25 == V29; #1748 ), references = 1, size of lhs = 32:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_additive_identity-{F}(V7), sum-{F}(V2,V7,V7), less_or_equal-{F}(V7,V1), less_or_equal-{F}(V7,V6), sum-{F}(V8,V7,V7), sum-{F}(V7,V8,V9), sum-{F}(V7,V9,V7), sum-{F}(V6,V7,V10), product-{F}(V10,V1,V11), sum-{F}(V5,V12,V5), sum-{F}(V11,V12,V13), product-{F}(V13,V1,V5), sum-{F}(V13,V2,V1), sum-{F}(V14,V13,V2), sum-{F}(V5,V14,V7), sum-{F}(V1,V4,V15), sum-{F}(V15,V3,V0), sum-{F}(V1,V16,V7), product-{F}(V17,V0,V3), product-{F}(V18,V0,V4), sum-{F}(V18,V17,V19), product-{F}(V19,V1,V20), sum-{F}(V20,V16,V13) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1811: mergings( V2 == V4, V4 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V14, V14 == V18, V18 == V20, V20 == V21, V21 == V28, V3 == V5, V5 == V8, V8 == V10, V10 == V13, V13 == V15, V15 == V19, V19 == V22, V22 == V29; #1749 ), references = 1, size of lhs = 36:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), sum-{F}(V4,V1,V1), defined-{F}(V5), defined-{F}(V6), defined-{F}(V7), product-{F}(V1,V7,V5), product-{F}(V4,V7,V6), less_or_equal-{F}(V1,V7), defined-{F}(V8), less_or_equal-{F}(V1,V8), P_multiplicative_identity-{F}(V9), sum-{F}(V10,V1,V1), sum-{F}(V1,V10,V11), sum-{F}(V1,V11,V1), product-{F}(V9,V7,V12), sum-{F}(V5,V13,V5), sum-{F}(V12,V13,V8), sum-{F}(V8,V4,V14), sum-{F}(V14,V1,V9), sum-{F}(V5,V4,V15), sum-{F}(V6,V15,V16), sum-{F}(V16,V1,V1), sum-{F}(V9,V3,V17), sum-{F}(V17,V2,V0), sum-{F}(V9,V18,V1), product-{F}(V19,V0,V2), product-{F}(V20,V0,V3), sum-{F}(V20,V19,V21), product-{F}(V21,V9,V22), sum-{F}(V22,V18,V8) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1851: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V26, V26 == V28, V28 == V29, V29 == V33, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V21, V21 == V23, V23 == V27, V27 == V30, V30 == V34; #1824 ), references = 1, size of lhs = 34:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), defined-{F}(V4), product-{F}(V0,V2,V4), defined-{F}(V5), product-{F}(V1,V2,V5), defined-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V8), sum-{F}(V3,V8,V8), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V8,V7), P_multiplicative_identity-{F}(V9), product-{F}(V0,V9,V0), product-{F}(V1,V9,V1), sum-{F}(V9,V5,V10), sum-{F}(V10,V4,V2), sum-{F}(V9,V11,V8), sum-{F}(V11,V1,V12), sum-{F}(V12,V0,V13), sum-{F}(V13,V14,V9), sum-{F}(V8,V15,V8), sum-{F}(V8,V16,V15), sum-{F}(V16,V8,V17), sum-{F}(V18,V3,V8), sum-{F}(V18,V14,V17), product-{F}(V19,V6,V20), sum-{F}(V7,V19,V21), product-{F}(V21,V6,V22), sum-{F}(V20,V23,V18), sum-{F}(V22,V23,V13) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1878: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V31, V31 == V35, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V23, V23 == V25, V25 == V29, V29 == V32, V32 == V36; #1825 ), references = 1, size of lhs = 35:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), product-{F}(V0,V3,V0), product-{F}(V1,V3,V1), P_multiplicative_identity-{F}(V3), defined-{F}(V4), defined-{F}(V5), product-{F}(V0,V2,V5), defined-{F}(V6), product-{F}(V1,V2,V6), defined-{F}(V7), defined-{F}(V8), P_additive_identity-{F}(V9), sum-{F}(V4,V9,V9), less_or_equal-{F}(V9,V3), less_or_equal-{F}(V9,V8), sum-{F}(V10,V9,V9), sum-{F}(V9,V10,V11), sum-{F}(V9,V11,V9), sum-{F}(V8,V9,V12), product-{F}(V12,V3,V13), sum-{F}(V7,V14,V7), sum-{F}(V13,V14,V15), product-{F}(V15,V3,V7), sum-{F}(V15,V4,V3), sum-{F}(V16,V15,V4), sum-{F}(V7,V16,V9), sum-{F}(V3,V6,V17), sum-{F}(V17,V5,V2), sum-{F}(V3,V18,V9), sum-{F}(V18,V1,V19), sum-{F}(V19,V0,V15) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1903: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V11, V11 == V13, V13 == V14, V14 == V16, V16 == V18, V18 == V19, V19 == V21, V21 == V25, V25 == V27, V27 == V28, V28 == V35, V4 == V6, V6 == V9, V9 == V12, V12 == V15, V15 == V17, V17 == V20, V20 == V22, V22 == V26, V26 == V29, V29 == V36; #1826 ), references = 1, size of lhs = 39:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_a-{F}(V2), defined-{F}(V3), P_additive_identity-{F}(V3), defined-{F}(V4), product-{F}(V0,V2,V4), defined-{F}(V5), product-{F}(V1,V2,V5), defined-{F}(V6), sum-{F}(V6,V3,V3), defined-{F}(V7), defined-{F}(V8), defined-{F}(V9), product-{F}(V3,V9,V7), product-{F}(V6,V9,V8), less_or_equal-{F}(V3,V9), defined-{F}(V10), less_or_equal-{F}(V3,V10), P_multiplicative_identity-{F}(V11), product-{F}(V0,V11,V0), product-{F}(V1,V11,V1), sum-{F}(V12,V3,V3), sum-{F}(V3,V12,V13), sum-{F}(V3,V13,V3), product-{F}(V11,V9,V14), sum-{F}(V7,V15,V7), sum-{F}(V14,V15,V10), sum-{F}(V10,V6,V16), sum-{F}(V16,V3,V11), sum-{F}(V7,V6,V17), sum-{F}(V8,V17,V18), sum-{F}(V18,V3,V3), sum-{F}(V11,V5,V19), sum-{F}(V19,V4,V2), sum-{F}(V11,V20,V3), sum-{F}(V20,V1,V21), sum-{F}(V21,V0,V10) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #1936: mergings( V0 == V2, V1 == V3; #1933 ), references = 1, size of lhs = 8:
% 215.47/215.67 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), sum-{F}(V0,V1,V1), sum-{F}(V2,V0,V0), sum-{F}(V0,V2,V3), sum-{F}(V0,V3,V0) | less_or_equal-{T}(V0,V1)
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2420: mergings( V3 == V5, V5 == V11, V4 == V6, V6 == V12; #2415 ), references = 2, size of lhs = 33:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), P_additive_identity-{F}(V6), less_or_equal-{F}(V6,V0), less_or_equal-{F}(V6,V1), less_or_equal-{F}(V6,V4), less_or_equal-{F}(V6,V5), P_multiplicative_identity-{F}(V7), sum-{F}(V1,V3,V8), sum-{F}(V8,V2,V9), product-{F}(V9,V0,V10), sum-{F}(V10,V11,V6), sum-{F}(V6,V12,V6), sum-{F}(V6,V13,V12), sum-{F}(V13,V6,V14), sum-{F}(V15,V6,V6), sum-{F}(V15,V16,V14), sum-{F}(V17,V16,V7), sum-{F}(V18,V11,V17), product-{F}(V19,V0,V20), product-{F}(V21,V19,V2), product-{F}(V22,V19,V3), sum-{F}(V22,V21,V23), product-{F}(V23,V20,V18), product-{F}(V24,V4,V25), sum-{F}(V5,V24,V26), product-{F}(V26,V4,V27), sum-{F}(V25,V28,V15), sum-{F}(V27,V28,V17) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2477: mergings( V3 == V5, V5 == V7, V7 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V33, V4 == V6, V6 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V21, V21 == V26, V26 == V34; #2452 ), references = 1, size of lhs = 42:
% 215.47/215.67 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), defined-{F}(V5), sum-{F}(V3,V5,V0), defined-{F}(V6), defined-{F}(V7), P_additive_identity-{F}(V8), less_or_equal-{F}(V8,V2), less_or_equal-{F}(V8,V3), less_or_equal-{F}(V8,V6), less_or_equal-{F}(V8,V7), sum-{F}(V0,V4,V8), P_multiplicative_identity-{F}(V9), product-{F}(V0,V9,V8), sum-{F}(V0,V10,V7), sum-{F}(V0,V10,V11), sum-{F}(V11,V12,V9), product-{F}(V11,V6,V13), sum-{F}(V13,V14,V11), product-{F}(V9,V6,V15), product-{F}(V0,V15,V16), sum-{F}(V16,V14,V17), sum-{F}(V17,V8,V8), sum-{F}(V17,V12,V18), sum-{F}(V19,V8,V18), sum-{F}(V8,V19,V20), sum-{F}(V8,V20,V8), product-{F}(V2,V21,V9), product-{F}(V21,V9,V1), product-{F}(V22,V1,V23), sum-{F}(V0,V22,V24), product-{F}(V24,V1,V25), sum-{F}(V23,V26,V0), sum-{F}(V25,V26,V0), product-{F}(V27,V2,V28), product-{F}(V29,V27,V4), product-{F}(V30,V27,V5), sum-{F}(V30,V29,V31), product-{F}(V31,V28,V7) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2521: mergings( V2 == V3, V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V11, V11 == V12, V12 == V14, V14 == V16, V16 == V20, V20 == V21, V21 == V23, V23 == V25, V25 == V26, V26 == V28, V28 == V30, V30 == V32, V32 == V33, V33 == V35, V35 == V36, V36 == V37, V37 == V38, V4 == V7, V7 == V9, V9 == V13, V13 == V15, V15 == V17, V17 == V22, V22 == V24, V24 == V27, V27 == V29, V29 == V31, V31 == V34, V34 == V39, V39 == V44; #2485 ), references = 1, size of lhs = 41:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), defined-{F}(V4), product-{F}(V2,V4,V1), less_or_equal-{F}(V1,V4), product-{F}(V0,V4,V3), P_multiplicative_identity-{F}(V4), defined-{F}(V5), less_or_equal-{F}(V1,V5), defined-{F}(V6), sum-{F}(V2,V6,V1), defined-{F}(V7), sum-{F}(V5,V7,V2), defined-{F}(V8), less_or_equal-{F}(V1,V8), sum-{F}(V2,V9,V4), sum-{F}(V2,V9,V10), sum-{F}(V10,V11,V4), product-{F}(V10,V8,V12), sum-{F}(V12,V13,V10), product-{F}(V4,V8,V14), product-{F}(V2,V14,V15), sum-{F}(V15,V13,V16), sum-{F}(V16,V1,V1), sum-{F}(V16,V11,V17), sum-{F}(V18,V1,V17), sum-{F}(V1,V18,V19), sum-{F}(V1,V19,V1), product-{F}(V20,V4,V6), product-{F}(V21,V4,V7), sum-{F}(V21,V20,V0), product-{F}(V22,V3,V23), sum-{F}(V2,V22,V24), product-{F}(V24,V3,V25), sum-{F}(V23,V26,V2), sum-{F}(V25,V26,V2) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2569: mergings( V2 == V4, V4 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V13, V13 == V15, V15 == V17, V17 == V18, V18 == V19, V19 == V21, V21 == V23, V23 == V26, V26 == V27, V27 == V29, V29 == V31, V31 == V32, V32 == V34, V34 == V36, V36 == V38, V38 == V39, V39 == V41, V41 == V42, V42 == V43, V43 == V44, V3 == V7, V7 == V11, V11 == V14, V14 == V16, V16 == V20, V20 == V22, V22 == V24, V24 == V28, V28 == V30, V30 == V33, V33 == V35, V35 == V37, V37 == V40, V40 == V45, V45 == V48; #2527 ), references = 1, size of lhs = 36:
% 215.47/215.67 defined-{F}(V0), P_a-{F}(V0), defined-{F}(V1), sum-{F}(V1,V1,V1), P_additive_identity-{F}(V1), defined-{F}(V2), defined-{F}(V3), product-{F}(V1,V3,V1), less_or_equal-{F}(V1,V3), product-{F}(V0,V3,V2), P_multiplicative_identity-{F}(V3), defined-{F}(V4), sum-{F}(V1,V4,V1), defined-{F}(V5), less_or_equal-{F}(V5,V1), defined-{F}(V6), less_or_equal-{F}(V1,V6), sum-{F}(V1,V7,V3), sum-{F}(V1,V7,V8), sum-{F}(V8,V9,V3), product-{F}(V8,V6,V10), sum-{F}(V10,V11,V8), product-{F}(V3,V6,V12), product-{F}(V1,V12,V13), sum-{F}(V13,V11,V14), sum-{F}(V14,V1,V1), sum-{F}(V14,V9,V15), sum-{F}(V16,V1,V15), sum-{F}(V1,V16,V17), sum-{F}(V1,V17,V1), product-{F}(V18,V3,V4), product-{F}(V19,V3,V5), sum-{F}(V19,V18,V0), product-{F}(V20,V2,V5), sum-{F}(V1,V20,V21), product-{F}(V21,V2,V5) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2625: mergings( V1 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V9, V9 == V11, V11 == V12, V12 == V13, V13 == V15, V15 == V16, V16 == V18, V18 == V19, V19 == V20, V20 == V22, V22 == V23, V23 == V24, V24 == V26, V26 == V28, V28 == V30, V30 == V31, V31 == V33, V33 == V35, V35 == V36, V36 == V38, V38 == V40, V40 == V42, V42 == V43, V43 == V45, V45 == V46, V46 == V47, V47 == V48, V2 == V3, V3 == V8, V8 == V10, V10 == V14, V14 == V17, V17 == V21, V21 == V25, V25 == V27, V27 == V29, V29 == V32, V32 == V34, V34 == V37, V37 == V39, V39 == V41, V41 == V44, V44 == V49, V49 == V52; #2576 ), references = 1, size of lhs = 26:
% 215.47/215.67 defined-{F}(V0), sum-{F}(V0,V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), product-{F}(V0,V1,V0), less_or_equal-{F}(V0,V1), sum-{F}(V0,V1,V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), sum-{F}(V0,V2,V0), product-{F}(V0,V1,V2), defined-{F}(V3), less_or_equal-{F}(V0,V3), sum-{F}(V0,V4,V1), sum-{F}(V0,V4,V5), sum-{F}(V5,V6,V1), product-{F}(V5,V3,V7), sum-{F}(V7,V8,V5), product-{F}(V1,V3,V9), product-{F}(V0,V9,V10), sum-{F}(V10,V8,V11), sum-{F}(V11,V0,V0), sum-{F}(V11,V6,V12), sum-{F}(V13,V0,V12), sum-{F}(V0,V13,V14), sum-{F}(V0,V14,V0) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2669: mergings( V1 == V2, V2 == V3, V3 == V4, V4 == V5, V5 == V6, V6 == V7, V7 == V8, V8 == V9, V9 == V10, V10 == V11, V11 == V12, V12 == V13, V13 == V14, V14 == V15, V15 == V16, V16 == V17, V17 == V18, V18 == V19, V19 == V20, V20 == V21, V21 == V22, V22 == V23, V23 == V24, V24 == V25, V25 == V26, V26 == V27, V27 == V28, V28 == V29, V29 == V30, V30 == V31, V31 == V32, V32 == V33, V33 == V34; #2635 ), references = 1, size of lhs = 1:
% 215.47/215.67 P_additive_identity-{F}(V0) | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 #2671: exists( #30, #2635 ), references = 1, size of lhs = 0:
% 215.47/215.67 FALSE | FALSE
% 215.47/215.67 (used 0 times, uses = {})
% 215.47/215.67
% 215.47/215.67 number of learnt formulas = 34
% 215.47/215.67
% 215.47/215.67
% 215.47/215.67 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 215.47/215.67
% 215.47/215.67 randbase = 1
%------------------------------------------------------------------------------