%------------------------------------------------------------------------------
% File : Geo-III---2018C
% Problem : FLD025-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : geo -tptp_input -nonempty -inputfile %s
% Computer : n016.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 06:01:06 EDT 2022
% Result : Unsatisfiable 8.43s 8.63s
% Output : Refutation 8.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : FLD025-1 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.12 % Command : geo -tptp_input -nonempty -inputfile %s
% 0.12/0.33 % Computer : n016.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 10:37:14 EDT 2022
% 0.12/0.33 % CPUTime :
% 8.43/8.63 GeoParameters:
% 8.43/8.63
% 8.43/8.63 tptp_input = 1
% 8.43/8.63 tptp_output = 0
% 8.43/8.63 nonempty = 1
% 8.43/8.63 inputfile = /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.63 includepath = /export/starexec/sandbox/solver/bin/../../benchmark/
% 8.43/8.63
% 8.43/8.63
% 8.43/8.63 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.63 % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.63
% 8.43/8.63 RuleSystem INPUT:
% 8.43/8.63
% 8.43/8.63 Initial Rules:
% 8.43/8.63 #0: input, references = 7, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_add-{F}(V1,V0,V2), defined-{F}(V1), P_add-{F}(V3,V2,V4), P_add-{F}(V3,V1,V5), P_add-{F}(V5,V0,V6), defined-{F}(V3) | equalish-{T}(V4,V6)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1: input, references = 17, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_add-{F}(V0,V1,V2), defined-{F}(V1) | equalish-{T}(V2,V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2: input, references = 17, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_additive_inverse-{F}(V1,V2), P_add-{F}(V1,V2,V3), defined-{F}(V1) | equalish-{T}(V3,V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #3: input, references = 12, size of lhs = 5:
% 8.43/8.63 P_additive_identity-{F}(V0), defined-{F}(V1), P_add-{F}(V2,V1,V3), P_add-{F}(V1,V2,V4), defined-{F}(V2) | equalish-{T}(V3,V4)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #4: input, references = 8, size of lhs = 8:
% 8.43/8.63 P_additive_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V2,V1,V3), defined-{F}(V2), P_multiply-{F}(V4,V3,V5), P_multiply-{F}(V4,V2,V6), P_multiply-{F}(V6,V1,V7), defined-{F}(V4) | equalish-{T}(V5,V7)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #5: input, references = 21, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V1,V2,V3), defined-{F}(V2) | equalish-{T}(V3,V2)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #6: input, references = 3, size of lhs = 5:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), P_multiply-{F}(V2,V3,V4), defined-{F}(V2) | equalish-{T}(V4,V1), equalish-{T}(V2,V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #7: input, references = 26, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V2,V3,V5), defined-{F}(V3) | equalish-{T}(V4,V5)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #8: input, references = 4, size of lhs = 10:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V3,V2,V4), defined-{F}(V3), P_multiply-{F}(V5,V2,V6), P_add-{F}(V6,V4,V7), P_add-{F}(V5,V3,V8), P_multiply-{F}(V8,V2,V9), defined-{F}(V5) | equalish-{T}(V7,V9)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #9: input, references = 3, size of lhs = 5:
% 8.43/8.63 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)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #10: input, references = 3, size of lhs = 2:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #11: input, references = 3, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_additive_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #12: input, references = 3, size of lhs = 5:
% 8.43/8.63 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)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #13: input, references = 3, size of lhs = 2:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | defined-{T}(V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #14: input, references = 3, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_multiplicative_inverse-{F}(V2,V3), defined-{F}(V2) | defined-{T}(V3), equalish-{T}(V2,V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #15: input, references = 12, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V2,V3), less_or_equal-{F}(V3,V2) | equalish-{T}(V2,V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #16: input, references = 15, size of lhs = 4:
% 8.43/8.63 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)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #17: input, references = 5, size of lhs = 4:
% 8.43/8.63 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)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #18: input, references = 19, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), less_or_equal-{F}(V4,V3) | less_or_equal-{T}(V5,V6)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #19: input, references = 3, size of lhs = 5:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V0,V2), P_multiply-{F}(V3,V2,V4), less_or_equal-{F}(V0,V3) | less_or_equal-{T}(V0,V4)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #20: input, references = 3, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2) | equalish-{T}(V2,V2)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #21: input, references = 57, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V3,V2) | equalish-{T}(V2,V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #22: input, references = 88, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V2,V3), equalish-{F}(V4,V2) | equalish-{T}(V4,V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #23: input, references = 19, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_add-{F}(V4,V2,V5), P_add-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #24: input, references = 17, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_multiply-{F}(V4,V2,V5), P_multiply-{F}(V3,V2,V6), equalish-{F}(V4,V3) | equalish-{T}(V5,V6)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #25: input, references = 24, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), less_or_equal-{F}(V4,V3), equalish-{F}(V4,V2) | less_or_equal-{T}(V2,V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #26: input, references = 11, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #27: input, references = 3, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2) | defined-{T}(V2)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #28: input, references = 4, size of lhs = 4:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3) | defined-{T}(V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #29: input, references = 5, size of lhs = 5:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4) | defined-{T}(V4)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #30: input, references = 3, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | defined-{T}(V5)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #31: input, references = 6, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | equalish-{T}(V2,V3)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #32: input, references = 6, size of lhs = 6:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5) | equalish-{T}(V4,V5)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #33: input, references = 9, size of lhs = 9:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1), P_a-{F}(V2), P_b-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_multiply-{F}(V2,V4,V6), P_multiply-{F}(V5,V3,V7), equalish-{F}(V6,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #34: input, references = 33, size of lhs = 2:
% 8.43/8.63 #-{F} V0, #-{F} V1 | EXISTS V2: P_add-{T}(V0,V1,V2)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #35: input, references = 4, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_additive_identity-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #36: input, references = 3, size of lhs = 1:
% 8.43/8.63 #-{F} V0 | EXISTS V1: P_additive_inverse-{T}(V0,V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #37: input, references = 36, size of lhs = 2:
% 8.43/8.63 #-{F} V0, #-{F} V1 | EXISTS V2: P_multiply-{T}(V0,V1,V2)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #38: input, references = 4, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_multiplicative_identity-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #39: input, references = 3, size of lhs = 1:
% 8.43/8.63 #-{F} V0 | EXISTS V1: P_multiplicative_inverse-{T}(V0,V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #40: input, references = 4, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_a-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #41: input, references = 4, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_b-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #42: input, references = 6, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_c-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #43: input, references = 7, size of lhs = 0:
% 8.43/8.63 FALSE | EXISTS V0: P_d-{T}(V0)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 number of initial rules = 44
% 8.43/8.63
% 8.43/8.63 Simplifiers:
% 8.43/8.63 #44: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_add-{F}(V0,V1,V2), P_add-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #45: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_additive_identity-{F}(V0), P_additive_identity-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #46: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_additive_inverse-{F}(V0,V1), P_additive_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #47: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_multiply-{F}(V0,V1,V2), P_multiply-{F}(V0,V1,V5), V2 == V5 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #48: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_multiplicative_identity-{F}(V0), P_multiplicative_identity-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #49: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_multiplicative_inverse-{F}(V0,V1), P_multiplicative_inverse-{F}(V0,V3), V1 == V3 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #50: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_a-{F}(V0), P_a-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #51: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_b-{F}(V0), P_b-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #52: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_c-{F}(V0), P_c-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #53: unsound, references = 3, size of lhs = 3:
% 8.43/8.63 P_d-{F}(V0), P_d-{F}(V1), V0 == V1 | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 number of simplifiers = 10
% 8.43/8.63
% 8.43/8.63 Learnt:
% 8.43/8.63 #67: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8; #61 ), references = 1, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_multiplicative_identity-{F}(V2), P_additive_identity-{F}(V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #91: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V14; #80 ), references = 2, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_multiply-{F}(V4,V1,V3), equalish-{F}(V4,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #121: mergings( V3 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17; #108 ), references = 8, size of lhs = 8:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V5,V1,V4), equalish-{F}(V5,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #145: mergings( V0 == V3, V3 == V5, V5 == V9, V4 == V6, V6 == V10; #139 ), references = 3, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), P_multiplicative_identity-{F}(V4), equalish-{F}(V5,V3), P_add-{F}(V5,V0,V6), P_multiply-{F}(V6,V1,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #174: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V14; #164 ), references = 1, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), equalish-{F}(V1,V5), P_additive_identity-{F}(V5), P_multiply-{F}(V6,V4,V0), equalish-{F}(V6,V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #183: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V14; #165 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), defined-{F}(V4), P_multiply-{F}(V4,V3,V2), equalish-{F}(V1,V5), P_additive_identity-{F}(V5), equalish-{F}(V6,V5), P_add-{F}(V6,V3,V7), P_multiply-{F}(V7,V4,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #193: mergings( V3 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11; #184 ), references = 1, size of lhs = 8:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_additive_identity-{F}(V2), equalish-{F}(V3,V2), P_add-{F}(V3,V0,V4), P_multiply-{F}(V4,V1,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #220: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V1 == V4, V4 == V6, V6 == V8; #212 ), references = 7, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V2), P_add-{F}(V3,V0,V2), equalish-{F}(V3,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #233: mergings( V3 == V5, V5 == V6, V6 == V8, V8 == V10, V10 == V12, V1 == V4, V4 == V7, V7 == V9, V9 == V11; #223 ), references = 3, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), P_additive_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #250: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V10, V4 == V6, V6 == V8, V8 == V9; #242 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), P_additive_inverse-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #269: mergings( V3 == V7, V7 == V10, V10 == V12, V4 == V11, V11 == V13, V13 == V14; #262 ), references = 4, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), P_additive_identity-{F}(V6), equalish-{F}(V5,V7), P_multiplicative_identity-{F}(V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #306: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V15, V0 == V10, V10 == V12, V12 == V16; #297 ), references = 1, size of lhs = 13:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V0,V6,V4), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V7,V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #314: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V0 == V10, V10 == V12, V12 == V15; #298 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V0,V6,V4), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #374: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V22, V0 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23; #358 ), references = 2, size of lhs = 17:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V6), P_add-{F}(V0,V6,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V5), P_additive_identity-{F}(V9), P_multiply-{F}(V10,V8,V4), equalish-{F}(V10,V7), P_add-{F}(V5,V6,V11), equalish-{F}(V11,V9) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #388: mergings( V3 == V4, V4 == V9, V9 == V11, V11 == V14, V14 == V16, V16 == V18, V18 == V22, V0 == V10, V10 == V12, V12 == V15, V15 == V17, V17 == V19, V19 == V23; #359 ), references = 2, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), P_multiply-{F}(V3,V2,V5), defined-{F}(V6), P_add-{F}(V0,V6,V0), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V5), P_additive_identity-{F}(V9), equalish-{F}(V10,V9), P_add-{F}(V10,V7,V11), P_multiply-{F}(V11,V8,V4), P_add-{F}(V5,V6,V12), equalish-{F}(V12,V9) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #396: exists( #34, #392 ), references = 1, size of lhs = 17:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V0), P_additive_identity-{F}(V9), P_multiply-{F}(V10,V8,V6), equalish-{F}(V10,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #397: exists( #34, #393 ), references = 1, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V0), P_multiply-{F}(V5,V3,V6), P_multiplicative_identity-{F}(V6), defined-{F}(V7), defined-{F}(V8), P_multiply-{F}(V8,V7,V0), P_additive_identity-{F}(V9), equalish-{F}(V10,V9), P_add-{F}(V10,V7,V11), P_multiply-{F}(V11,V8,V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #412: mergings( V3 == V5, V5 == V10, V10 == V13, V4 == V6, V6 == V12, V12 == V14; #405 ), references = 1, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V1), defined-{F}(V4), P_multiply-{F}(V4,V2,V0), P_add-{F}(V4,V3,V5), P_multiply-{F}(V5,V2,V6), P_multiplicative_identity-{F}(V6), P_additive_identity-{F}(V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #455: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V13, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14; #442 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V1), P_additive_inverse-{F}(V0,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V2,V3), equalish-{F}(V3,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #466: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V14, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #443 ), references = 1, size of lhs = 8:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), equalish-{F}(V3,V4), P_add-{F}(V0,V1,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #477: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V16, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V17; #444 ), references = 1, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), equalish-{F}(V2,V3), defined-{F}(V4), P_multiply-{F}(V1,V4,V0), P_multiply-{F}(V4,V3,V5), P_additive_identity-{F}(V6), equalish-{F}(V5,V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #504: mergings( V3 == V4, V0 == V5; #501 ), references = 1, size of lhs = 8:
% 8.43/8.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), P_additive_identity-{F}(V2), P_b-{F}(V3), P_d-{F}(V4), P_multiply-{F}(V4,V3,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #524: mergings( V3 == V6, V4 == V7; #521 ), references = 1, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_b-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V6,V5,V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #528: mergings( V3 == V5, V4 == V6; #525 ), references = 1, size of lhs = 8:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #536: mergings( V3 == V5, V5 == V10, V4 == V6, V6 == V11; #531 ), references = 2, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_add-{F}(V7,V0,V6), equalish-{F}(V7,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #565: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V4 == V6, V6 == V8, V8 == V10, V10 == V1; #555 ), references = 2, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), less_or_equal-{F}(V0,V1), equalish-{F}(V1,V1), P_add-{F}(V2,V0,V1), less_or_equal-{F}(V2,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #577: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V8, V8 == V10, V1 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V3; #566 ), references = 1, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V1,V0) | less_or_equal-{T}(V0,V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #594: mergings( V0 == V3, V3 == V5, V5 == V7, V4 == V6, V6 == V1; #588 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V0), P_additive_identity-{F}(V1), equalish-{F}(V1,V1), P_add-{F}(V0,V0,V1), less_or_equal-{F}(V1,V2), P_add-{F}(V2,V0,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #628: mergings( V0 == V2, V2 == V4, V4 == V6, V6 == V9, V9 == V11, V1 == V5, V5 == V7, V7 == V10, V10 == V12, V12 == V13; #616 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), equalish-{F}(V1,V4), P_add-{F}(V0,V2,V4), equalish-{F}(V5,V0), P_add-{F}(V5,V3,V4), P_add-{F}(V1,V2,V6), equalish-{F}(V6,V0) | less_or_equal-{T}(V0,V1)
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #682: mergings( V15 == V29, V3 == V5, V5 == V0, V0 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V16, V16 == V18, V18 == V20, V20 == V22, V22 == V24, V24 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V1, V1 == V17, V17 == V19, V19 == V21, V21 == V23, V23 == V25, V25 == V26, V28 == V29; #653 ), references = 3, size of lhs = 8:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), equalish-{F}(V0,V2), equalish-{F}(V2,V0), P_add-{F}(V1,V1,V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #720: mergings( V3 == V4, V4 == V7, V7 == V9, V9 == V11, V11 == V1, V0 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V13; #709 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V1,V1,V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #756: mergings( V3 == V5, V5 == V7, V7 == V9, V6 == V8, V8 == V1; #749 ), references = 3, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V3), equalish-{F}(V2,V3), equalish-{F}(V0,V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #762: mergings( V3 == V5, V5 == V7, V7 == V12, V6 == V8, V8 == V13; #750 ), references = 1, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V1,V3,V4), equalish-{F}(V4,V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_add-{F}(V5,V0,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #772: mergings( V3 == V4, V4 == V6, V6 == V8, V5 == V7, V7 == V0; #765 ), references = 3, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), P_multiplicative_identity-{F}(V1), P_additive_identity-{F}(V2), equalish-{F}(V0,V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #783: mergings( V2 == V4, V3 == V0; #780 ), references = 1, size of lhs = 6:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V1), P_multiplicative_identity-{F}(V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #818: mergings( V3 == V1, V1 == V4, V4 == V7, V7 == V9, V0 == V5, V5 == V8, V8 == V10, V10 == V11; #809 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_multiply-{F}(V0,V2,V1), P_additive_inverse-{F}(V2,V1), P_multiplicative_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #853: mergings( V3 == V5, V5 == V9, V4 == V6, V6 == V10; #847 ), references = 2, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_multiply-{F}(V6,V1,V5), equalish-{F}(V6,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #862: mergings( V3 == V5, V5 == V13, V4 == V6, V6 == V12; #857 ), references = 4, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), P_add-{F}(V3,V1,V4), equalish-{F}(V4,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #867: mergings( V3 == V11, V4 == V10; #864 ), references = 1, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V3), P_additive_inverse-{F}(V3,V2), equalish-{F}(V3,V4), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V7), P_multiplicative_identity-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #909: mergings( V3 == V5, V5 == V7, V7 == V12, V12 == V14, V14 == V16, V16 == V20, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V17, V17 == V19; #896 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V6,V5,V4), P_additive_identity-{F}(V7), equalish-{F}(V5,V7), equalish-{F}(V3,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #938: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17; #927 ), references = 2, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V4), equalish-{F}(V3,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V4), P_multiplicative_identity-{F}(V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #969: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V8, V8 == V14, V14 == V16, V16 == V21; #958 ), references = 1, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_additive_identity-{F}(V4), P_multiply-{F}(V0,V1,V5), defined-{F}(V6), defined-{F}(V7), equalish-{F}(V7,V8), P_multiply-{F}(V8,V6,V5), P_multiply-{F}(V6,V7,V9), defined-{F}(V9), defined-{F}(V10), P_additive_inverse-{F}(V10,V9), P_multiplicative_identity-{F}(V10) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #981: mergings( V3 == V5, V5 == V7, V7 == V11, V11 == V12, V12 == V14, V4 == V6, V6 == V8, V8 == V13, V13 == V15, V15 == V18; #970 ), references = 1, size of lhs = 13:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V3), P_multiply-{F}(V3,V0,V4), equalish-{F}(V4,V1), defined-{F}(V5), equalish-{F}(V5,V0), P_multiply-{F}(V2,V5,V6), defined-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), P_multiplicative_identity-{F}(V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1004: mergings( V3 == V8, V8 == V10, V9 == V11; #1000 ), references = 2, size of lhs = 14:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_multiply-{F}(V1,V0,V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), P_multiply-{F}(V3,V1,V5), P_d-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_c-{F}(V9), P_multiply-{F}(V8,V9,V10), equalish-{F}(V10,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1017: mergings( V3 == V4, V4 == V12, V0 == V5, V5 == V13; #1012 ), references = 1, size of lhs = 14:
% 8.43/8.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_b-{F}(V2), defined-{F}(V3), P_multiply-{F}(V3,V2,V4), defined-{F}(V5), P_multiply-{F}(V5,V4,V6), equalish-{F}(V1,V6), P_multiply-{F}(V5,V3,V7), P_d-{F}(V7), P_additive_identity-{F}(V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1034: mergings( V3 == V6, V6 == V8, V4 == V7, V7 == V9; #1029 ), references = 1, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), defined-{F}(V1), P_d-{F}(V1), P_multiply-{F}(V0,V1,V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_a-{F}(V5), P_c-{F}(V6), P_multiply-{F}(V5,V6,V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1048: mergings( V3 == V5, V5 == V7, V4 == V6, V6 == V8; #1043 ), references = 4, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), P_multiply-{F}(V3,V4,V6), equalish-{F}(V6,V7), P_multiply-{F}(V8,V0,V7), equalish-{F}(V8,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1057: mergings( V3 == V6, V6 == V9, V9 == V11, V4 == V7, V7 == V10, V10 == V12; #1050 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_a-{F}(V1), P_multiply-{F}(V0,V1,V2), defined-{F}(V3), P_b-{F}(V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_d-{F}(V6), P_multiply-{F}(V7,V3,V2), equalish-{F}(V7,V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1065: mergings( V3 == V5, V5 == V7, V7 == V9, V4 == V6, V6 == V8, V8 == V10; #1058 ), references = 1, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3), P_d-{F}(V4), equalish-{F}(V0,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1078: mergings( V1 == V5, V5 == V9, V9 == V11, V11 == V13, V2 == V6, V6 == V10, V10 == V12, V12 == V14, V3 == V8, V4 == V8; #1067 ), references = 2, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), P_a-{F}(V1), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1085: mergings( V1 == V6, V2 == V7, V3 == V5, V4 == V5; #1080 ), references = 1, size of lhs = 5:
% 8.43/8.63 P_a-{F}(V0), defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1093: mergings( V1 == V4, V4 == V6, V2 == V3, V3 == V7; #1088 ), references = 1, size of lhs = 5:
% 8.43/8.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1), P_c-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1099: mergings( V1 == V4, V4 == V5, V2 == V3, V3 == V6; #1094 ), references = 1, size of lhs = 4:
% 8.43/8.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), P_b-{F}(V1), P_additive_identity-{F}(V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1127: mergings( V3 == V5, V5 == V6, V6 == V9, V4 == V8, V8 == V10; #1119 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), P_additive_identity-{F}(V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1133: mergings( V3 == V5, V5 == V9, V9 == V16, V4 == V8, V8 == V10; #1120 ), references = 1, size of lhs = 14:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), P_add-{F}(V8,V6,V9), P_add-{F}(V9,V5,V2), P_additive_identity-{F}(V10) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1139: mergings( V3 == V5, V5 == V9, V9 == V17, V4 == V8, V8 == V10; #1121 ), references = 2, size of lhs = 15:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), P_multiplicative_identity-{F}(V4), defined-{F}(V5), defined-{F}(V6), P_add-{F}(V6,V5,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), P_add-{F}(V8,V6,V9), equalish-{F}(V9,V10), P_add-{F}(V10,V5,V2), P_additive_identity-{F}(V11) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1185: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V20; #1169 ), references = 4, size of lhs = 14:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), defined-{F}(V6), P_multiplicative_identity-{F}(V6), P_add-{F}(V6,V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V5,V8), equalish-{F}(V2,V8), equalish-{F}(V4,V9), equalish-{F}(V9,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1199: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V22, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V24; #1170 ), references = 2, size of lhs = 15:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), defined-{F}(V6), P_multiply-{F}(V6,V5,V7), P_additive_identity-{F}(V8), equalish-{F}(V2,V8), equalish-{F}(V4,V9), equalish-{F}(V9,V7), P_multiplicative_identity-{F}(V10), P_multiply-{F}(V11,V6,V10), equalish-{F}(V11,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1213: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V23, V4 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V25; #1171 ), references = 2, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), equalish-{F}(V0,V3), P_add-{F}(V3,V1,V4), defined-{F}(V5), defined-{F}(V6), equalish-{F}(V6,V7), P_multiply-{F}(V7,V5,V8), P_additive_identity-{F}(V9), equalish-{F}(V2,V9), equalish-{F}(V4,V10), equalish-{F}(V10,V8), P_multiplicative_identity-{F}(V11), P_multiply-{F}(V12,V6,V11), equalish-{F}(V12,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1233: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V21, V4 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V19; #1217 ), references = 6, size of lhs = 13:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_additive_inverse-{F}(V1,V0), equalish-{F}(V0,V2), P_add-{F}(V2,V1,V3), defined-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V4,V6), P_additive_identity-{F}(V7), equalish-{F}(V4,V7), equalish-{F}(V3,V8), equalish-{F}(V8,V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1238: mergings( V3 == V6, V4 == V0; #1235 ), references = 2, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V1), equalish-{F}(V1,V1), defined-{F}(V1), P_multiplicative_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), P_additive_identity-{F}(V3), equalish-{F}(V2,V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1258: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V11, V4 == V6, V6 == V8, V8 == V10; #1250 ), references = 1, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V3), equalish-{F}(V3,V3), defined-{F}(V3), P_multiplicative_identity-{F}(V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1295: mergings( V3 == V1, V1 == V4, V4 == V6, V6 == V9, V0 == V5, V5 == V7, V7 == V10, V10 == V11; #1286 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_additive_identity-{F}(V0), defined-{F}(V1), P_multiplicative_identity-{F}(V1), P_multiply-{F}(V0,V1,V2), P_add-{F}(V3,V1,V2), equalish-{F}(V3,V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1316: mergings( V0 == V7; #1314 ), references = 2, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), equalish-{F}(V0,V1), P_additive_identity-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V0), defined-{F}(V3), equalish-{F}(V3,V1), defined-{F}(V4), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V3,V5), equalish-{F}(V2,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1351: mergings( V3 == V4, V4 == V6, V0 == V5, V5 == V7; #1346 ), references = 1, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_multiply-{F}(V3,V4,V0), P_d-{F}(V5), equalish-{F}(V2,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1411: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V29, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V30; #1391 ), references = 1, size of lhs = 21:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V1,V4), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V7), equalish-{F}(V0,V7), defined-{F}(V8), defined-{F}(V9), P_multiply-{F}(V9,V8,V10), equalish-{F}(V0,V10), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V11), equalish-{F}(V3,V11), P_multiplicative_identity-{F}(V12), P_multiply-{F}(V13,V9,V12), equalish-{F}(V13,V8), less_or_equal-{F}(V11,V14), P_add-{F}(V14,V0,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1429: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V30, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V31; #1392 ), references = 1, size of lhs = 22:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V1,V4), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V7), equalish-{F}(V0,V7), defined-{F}(V8), defined-{F}(V9), equalish-{F}(V9,V10), P_multiply-{F}(V10,V8,V11), equalish-{F}(V0,V11), P_additive_identity-{F}(V12), less_or_equal-{F}(V12,V12), equalish-{F}(V3,V12), P_multiplicative_identity-{F}(V13), P_multiply-{F}(V14,V9,V13), equalish-{F}(V14,V8), less_or_equal-{F}(V12,V15), P_add-{F}(V15,V0,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1445: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V26, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V25; #1393 ), references = 1, size of lhs = 19:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V1,V4), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V7), equalish-{F}(V0,V7), defined-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V8,V0), P_additive_identity-{F}(V10), less_or_equal-{F}(V10,V10), equalish-{F}(V8,V10), equalish-{F}(V3,V10), less_or_equal-{F}(V10,V11), P_add-{F}(V11,V0,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1459: exists( #34, #1139 ), references = 3, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V3), P_add-{F}(V3,V0,V1), defined-{F}(V4), P_add-{F}(V4,V2,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), P_add-{F}(V6,V4,V7), equalish-{F}(V7,V0), P_additive_identity-{F}(V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1467: mergings( V3 == V5, V5 == V14, V4 == V6, V6 == V8; #1462 ), references = 2, size of lhs = 13:
% 8.43/8.63 defined-{F}(V0), P_multiplicative_identity-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V3), P_add-{F}(V3,V0,V1), defined-{F}(V4), P_add-{F}(V4,V2,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V5), equalish-{F}(V6,V7), P_add-{F}(V7,V4,V8), equalish-{F}(V8,V0), P_additive_identity-{F}(V9) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1504: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V19; #1492 ), references = 1, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V4), equalish-{F}(V3,V5), P_additive_identity-{F}(V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V4), defined-{F}(V7), equalish-{F}(V7,V5), defined-{F}(V8), P_multiplicative_identity-{F}(V8), P_add-{F}(V8,V7,V9), equalish-{F}(V6,V9) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1515: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V22, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V20; #1493 ), references = 4, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V4), equalish-{F}(V3,V5), defined-{F}(V6), P_additive_inverse-{F}(V6,V4), P_add-{F}(V5,V6,V7), defined-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V8,V10), P_additive_identity-{F}(V11), equalish-{F}(V8,V11), equalish-{F}(V7,V12), equalish-{F}(V12,V10) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1537: mergings( V7 == V10, V8 == V0; #1532 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), P_add-{F}(V2,V2,V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_multiplicative_identity-{F}(V4), P_add-{F}(V4,V1,V5), P_add-{F}(V5,V0,V6), equalish-{F}(V6,V4), P_additive_identity-{F}(V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1540: mergings( V7 == V14, V8 == V10; #1533 ), references = 1, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V4), defined-{F}(V5), equalish-{F}(V5,V6), P_add-{F}(V6,V3,V4), P_add-{F}(V2,V5,V7), defined-{F}(V8), P_additive_inverse-{F}(V8,V7), P_add-{F}(V8,V1,V9), P_add-{F}(V9,V0,V10), equalish-{F}(V10,V3), P_additive_identity-{F}(V11) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1543: mergings( V7 == V15, V8 == V10; #1534 ), references = 1, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_add-{F}(V1,V0,V2), defined-{F}(V2), defined-{F}(V3), P_add-{F}(V3,V1,V4), P_add-{F}(V4,V0,V5), defined-{F}(V6), equalish-{F}(V5,V6), P_multiplicative_identity-{F}(V7), defined-{F}(V8), equalish-{F}(V8,V9), P_add-{F}(V9,V6,V7), P_add-{F}(V2,V8,V10), defined-{F}(V11), P_additive_inverse-{F}(V11,V10), equalish-{F}(V11,V3), P_additive_identity-{F}(V12) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1562: mergings( V3 == V11, V0 == V9; #1559 ), references = 2, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V1,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), P_add-{F}(V0,V4,V5), defined-{F}(V6), P_add-{F}(V2,V6,V7), P_additive_identity-{F}(V8), equalish-{F}(V6,V8), equalish-{F}(V5,V9), equalish-{F}(V9,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1567: mergings( V3 == V12, V4 == V6; #1564 ), references = 1, size of lhs = 16:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), defined-{F}(V2), P_multiplicative_identity-{F}(V2), P_multiply-{F}(V0,V1,V3), defined-{F}(V3), defined-{F}(V4), P_additive_inverse-{F}(V4,V3), equalish-{F}(V0,V5), P_add-{F}(V5,V4,V6), defined-{F}(V7), P_add-{F}(V2,V7,V8), equalish-{F}(V6,V8), P_additive_identity-{F}(V9), equalish-{F}(V7,V9) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1609: mergings( V3 == V4, V4 == V6, V6 == V8, V0 == V5, V5 == V7, V7 == V9; #1602 ), references = 2, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2), P_a-{F}(V3), P_c-{F}(V4), P_d-{F}(V5), equalish-{F}(V2,V5), P_multiply-{F}(V3,V4,V6), equalish-{F}(V0,V6) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1626: mergings( V3 == V4, V4 == V6, V6 == V9, V0 == V5, V5 == V7, V7 == V10; #1619 ), references = 2, size of lhs = 10:
% 8.43/8.63 P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_c-{F}(V1), defined-{F}(V2), P_b-{F}(V2), equalish-{F}(V1,V2), P_additive_identity-{F}(V3), P_d-{F}(V4), equalish-{F}(V0,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1640: mergings( V1 == V5, V5 == V11, V2 == V6, V6 == V9, V3 == V7, V7 == V9, V8 == V10, V4 == V9; #1631 ), references = 1, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), P_a-{F}(V0), P_multiplicative_identity-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_additive_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1767: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V29, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V27; #1747 ), references = 2, size of lhs = 20:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_add-{F}(V2,V1,V3), equalish-{F}(V1,V4), P_add-{F}(V4,V2,V5), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V7), equalish-{F}(V0,V7), defined-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V8,V10), equalish-{F}(V0,V10), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V11), equalish-{F}(V8,V11), equalish-{F}(V3,V11), less_or_equal-{F}(V11,V12), P_add-{F}(V12,V0,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1785: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V28, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V26; #1748 ), references = 2, size of lhs = 19:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V2,V1), equalish-{F}(V1,V3), P_add-{F}(V3,V2,V4), less_or_equal-{F}(V4,V5), less_or_equal-{F}(V5,V6), equalish-{F}(V0,V6), defined-{F}(V7), defined-{F}(V8), P_multiplicative_identity-{F}(V8), P_add-{F}(V8,V7,V9), equalish-{F}(V0,V9), P_additive_identity-{F}(V10), less_or_equal-{F}(V10,V10), equalish-{F}(V7,V10), less_or_equal-{F}(V10,V11), P_add-{F}(V11,V0,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1803: mergings( V0 == V3, V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V13, V13 == V15, V15 == V17, V17 == V32, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V14, V14 == V16, V16 == V18, V18 == V30; #1749 ), references = 2, size of lhs = 24:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), defined-{F}(V2), equalish-{F}(V2,V3), P_multiply-{F}(V3,V1,V4), P_multiply-{F}(V1,V2,V5), defined-{F}(V5), equalish-{F}(V4,V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V5), P_add-{F}(V6,V7,V8), less_or_equal-{F}(V8,V9), less_or_equal-{F}(V9,V10), equalish-{F}(V0,V10), defined-{F}(V11), defined-{F}(V12), P_multiplicative_identity-{F}(V12), P_add-{F}(V12,V11,V13), equalish-{F}(V0,V13), P_additive_identity-{F}(V14), less_or_equal-{F}(V14,V14), equalish-{F}(V11,V14), less_or_equal-{F}(V14,V15), P_add-{F}(V15,V0,V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1820: mergings( V2 == V4, V4 == V10, V3 == V5, V5 == V8; #1813 ), references = 1, size of lhs = 15:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V0), equalish-{F}(V0,V0), equalish-{F}(V0,V1), defined-{F}(V2), defined-{F}(V3), P_multiplicative_identity-{F}(V3), P_add-{F}(V3,V2,V4), equalish-{F}(V0,V4), P_additive_identity-{F}(V5), less_or_equal-{F}(V5,V5), equalish-{F}(V2,V5), less_or_equal-{F}(V5,V0), less_or_equal-{F}(V5,V6), less_or_equal-{F}(V6,V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1826: mergings( V3 == V4, V4 == V6, V6 == V14, V5 == V7, V7 == V12; #1814 ), references = 1, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), P_additive_inverse-{F}(V1,V2), equalish-{F}(V2,V0), equalish-{F}(V1,V3), defined-{F}(V4), defined-{F}(V5), P_multiplicative_identity-{F}(V5), P_add-{F}(V5,V4,V6), equalish-{F}(V1,V6), P_additive_identity-{F}(V7), less_or_equal-{F}(V7,V7), equalish-{F}(V4,V7), less_or_equal-{F}(V7,V0), less_or_equal-{F}(V7,V8), less_or_equal-{F}(V8,V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1832: mergings( V3 == V4, V4 == V6, V6 == V18, V5 == V7, V7 == V16; #1815 ), references = 1, size of lhs = 23:
% 8.43/8.63 defined-{F}(V0), P_additive_inverse-{F}(V0,V1), defined-{F}(V1), defined-{F}(V2), defined-{F}(V3), equalish-{F}(V3,V4), P_multiply-{F}(V4,V2,V5), equalish-{F}(V5,V0), P_multiply-{F}(V2,V3,V6), defined-{F}(V6), P_additive_inverse-{F}(V1,V6), equalish-{F}(V1,V7), defined-{F}(V8), defined-{F}(V9), P_multiplicative_identity-{F}(V9), P_add-{F}(V9,V8,V10), equalish-{F}(V1,V10), P_additive_identity-{F}(V11), less_or_equal-{F}(V11,V11), equalish-{F}(V8,V11), less_or_equal-{F}(V11,V0), less_or_equal-{F}(V11,V12), less_or_equal-{F}(V12,V7) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1877: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V15, V15 == V24, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V22; #1864 ), references = 1, size of lhs = 19:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_multiply-{F}(V0,V1,V5), defined-{F}(V6), defined-{F}(V7), P_add-{F}(V7,V6,V8), equalish-{F}(V6,V9), P_add-{F}(V9,V7,V4), defined-{F}(V10), defined-{F}(V11), P_multiplicative_identity-{F}(V11), P_add-{F}(V11,V10,V12), equalish-{F}(V5,V12), P_additive_identity-{F}(V13), equalish-{F}(V10,V13), equalish-{F}(V8,V13) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1888: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V15, V15 == V23, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V21; #1865 ), references = 1, size of lhs = 18:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_multiply-{F}(V0,V1,V5), defined-{F}(V6), defined-{F}(V7), P_additive_inverse-{F}(V7,V6), equalish-{F}(V6,V8), P_add-{F}(V8,V7,V4), defined-{F}(V9), defined-{F}(V10), P_multiplicative_identity-{F}(V10), P_add-{F}(V10,V9,V11), equalish-{F}(V5,V11), P_additive_identity-{F}(V12), equalish-{F}(V9,V12) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1899: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V15, V15 == V27, V4 == V6, V6 == V8, V8 == V10, V10 == V16, V16 == V25; #1866 ), references = 1, size of lhs = 23:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), equalish-{F}(V3,V4), P_multiply-{F}(V0,V1,V5), defined-{F}(V6), defined-{F}(V7), equalish-{F}(V7,V8), P_multiply-{F}(V8,V6,V9), P_multiply-{F}(V6,V7,V10), defined-{F}(V10), equalish-{F}(V9,V11), defined-{F}(V12), P_additive_inverse-{F}(V12,V10), P_add-{F}(V11,V12,V4), defined-{F}(V13), defined-{F}(V14), P_multiplicative_identity-{F}(V14), P_add-{F}(V14,V13,V15), equalish-{F}(V5,V15), P_additive_identity-{F}(V16), equalish-{F}(V13,V16) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1936: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V16, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V17; #1924 ), references = 1, size of lhs = 13:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), P_additive_identity-{F}(V5), P_multiplicative_identity-{F}(V6), P_a-{F}(V7), P_b-{F}(V8), P_c-{F}(V9), P_multiply-{F}(V7,V9,V3), P_d-{F}(V10), P_multiply-{F}(V10,V8,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1947: mergings( V3 == V5, V5 == V10, V10 == V12, V12 == V14, V14 == V17, V4 == V6, V6 == V11, V11 == V13, V13 == V15, V15 == V18; #1925 ), references = 1, size of lhs = 15:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_multiply-{F}(V0,V1,V4), defined-{F}(V5), P_b-{F}(V5), P_additive_identity-{F}(V6), P_multiplicative_identity-{F}(V7), P_a-{F}(V8), P_c-{F}(V9), P_multiply-{F}(V8,V9,V3), P_d-{F}(V10), equalish-{F}(V11,V10), P_multiply-{F}(V11,V5,V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1960: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16; #1948 ), references = 1, size of lhs = 11:
% 8.43/8.63 defined-{F}(V0), P_d-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_multiply-{F}(V6,V7,V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1971: mergings( V3 == V5, V5 == V9, V9 == V11, V11 == V13, V13 == V15, V4 == V6, V6 == V10, V10 == V12, V12 == V14, V14 == V16; #1949 ), references = 1, size of lhs = 12:
% 8.43/8.63 defined-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_multiply-{F}(V2,V0,V3), P_additive_identity-{F}(V4), P_multiplicative_identity-{F}(V5), P_a-{F}(V6), P_c-{F}(V7), P_multiply-{F}(V6,V7,V3), P_d-{F}(V8), equalish-{F}(V0,V8) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1984: mergings( V3 == V5, V5 == V8, V8 == V10, V10 == V12, V12 == V14, V4 == V6, V6 == V9, V9 == V11, V11 == V13, V13 == V15; #1972 ), references = 1, size of lhs = 9:
% 8.43/8.63 defined-{F}(V0), P_d-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #1995: mergings( V3 == V5, V5 == V7, V7 == V9, V9 == V11, V11 == V14, V4 == V6, V6 == V8, V8 == V10, V10 == V12, V12 == V15; #1973 ), references = 2, size of lhs = 10:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), equalish-{F}(V1,V2), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4), P_d-{F}(V5), equalish-{F}(V0,V5) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2013: mergings( V1 == V4, V4 == V8, V8 == V13, V2 == V5, V5 == V9, V9 == V14, V6 == V12, V7 == V11, V3 == V10; #2003 ), references = 2, size of lhs = 7:
% 8.43/8.63 defined-{F}(V0), P_c-{F}(V0), defined-{F}(V1), P_b-{F}(V1), P_a-{F}(V2), P_additive_identity-{F}(V3), P_multiplicative_identity-{F}(V4) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2020: mergings( V1 == V7, V2 == V8, V3 == V6, V4 == V5; #2015 ), references = 1, size of lhs = 5:
% 8.43/8.63 defined-{F}(V0), P_b-{F}(V0), P_a-{F}(V1), P_additive_identity-{F}(V2), P_multiplicative_identity-{F}(V3) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2029: mergings( V1 == V4, V4 == V8, V2 == V5, V5 == V9, V3 == V6, V6 == V7; #2022 ), references = 1, size of lhs = 3:
% 8.43/8.63 P_a-{F}(V0), P_additive_identity-{F}(V1), P_multiplicative_identity-{F}(V2) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2035: mergings( V1 == V3, V3 == V5, V2 == V4, V4 == V6; #2030 ), references = 1, size of lhs = 2:
% 8.43/8.63 P_additive_identity-{F}(V0), P_multiplicative_identity-{F}(V1) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2039: mergings( V1 == V2, V2 == V3; #2036 ), references = 1, size of lhs = 1:
% 8.43/8.63 P_additive_identity-{F}(V0) | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 #2041: exists( #35, #2036 ), references = 1, size of lhs = 0:
% 8.43/8.63 FALSE | FALSE
% 8.43/8.63 (used 0 times, uses = {})
% 8.43/8.63
% 8.43/8.63 number of learnt formulas = 101
% 8.43/8.63
% 8.43/8.63
% 8.43/8.63 % SZS output end Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.43/8.63
% 8.43/8.63 randbase = 1
%------------------------------------------------------------------------------